TSTP Solution File: SWV469+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 16:54:12 EDT 2024
% Result : Theorem 8.51s 1.57s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 678
% Syntax : Number of formulae : 2323 ( 262 unt; 0 def)
% Number of atoms : 8934 (1783 equ)
% Maximal formula atoms : 216 ( 3 avg)
% Number of connectives : 11436 (4825 ~;5294 |; 573 &)
% ( 637 <=>; 107 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 612 ( 610 usr; 604 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 21 con; 0-2 aty)
% Number of variables : 3426 (3383 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16384,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f353,f358,f363,f368,f373,f378,f383,f389,f394,f399,f404,f409,f414,f418,f424,f429,f434,f439,f444,f449,f454,f458,f462,f466,f470,f474,f478,f486,f490,f494,f507,f516,f520,f524,f528,f533,f538,f542,f546,f550,f554,f558,f562,f566,f570,f574,f578,f582,f586,f590,f594,f598,f603,f608,f612,f616,f620,f626,f633,f637,f641,f645,f649,f653,f657,f662,f666,f670,f674,f678,f682,f699,f703,f712,f722,f730,f734,f738,f742,f746,f750,f754,f759,f775,f779,f783,f788,f792,f814,f824,f828,f843,f851,f855,f859,f863,f867,f871,f875,f879,f883,f887,f891,f895,f917,f921,f925,f929,f955,f959,f963,f985,f989,f993,f997,f1001,f1005,f1009,f1013,f1052,f1062,f1066,f1070,f1075,f1079,f1083,f1119,f1123,f1127,f1137,f1148,f1152,f1168,f1177,f1181,f1199,f1203,f1207,f1211,f1218,f1226,f1232,f1238,f1246,f1254,f1262,f1266,f1270,f1278,f1289,f1300,f1311,f1322,f1326,f1330,f1334,f1338,f1342,f1346,f1350,f1390,f1399,f1406,f1410,f1414,f1418,f1422,f1456,f1471,f1475,f1479,f1483,f1487,f1491,f1495,f1499,f1503,f1507,f1547,f1580,f1584,f1588,f1592,f1596,f1600,f1604,f1608,f1612,f1616,f1667,f1685,f1689,f1693,f1728,f1732,f1736,f1740,f1783,f1787,f1791,f1795,f1799,f1886,f1890,f1921,f1925,f1930,f1934,f1938,f2004,f2008,f2018,f2022,f2026,f2030,f2034,f2038,f2042,f2046,f2057,f2094,f2102,f2129,f2133,f2137,f2141,f2183,f2192,f2196,f2205,f2216,f2221,f2226,f2236,f2240,f2244,f2297,f2307,f2343,f2347,f2351,f2356,f2360,f2375,f2379,f2399,f2403,f2409,f2413,f2417,f2421,f2425,f2429,f2433,f2537,f2541,f2545,f2549,f2554,f2558,f2562,f2566,f2570,f2689,f2724,f2728,f2732,f2736,f2741,f2745,f2749,f2753,f2757,f2761,f2765,f2920,f2945,f2949,f2953,f2957,f2961,f2965,f2969,f2973,f3129,f3133,f3137,f3190,f3194,f3198,f3202,f3206,f3210,f3214,f3218,f3223,f3227,f3231,f3235,f3239,f3496,f3678,f3682,f3686,f3690,f3694,f3698,f3702,f3706,f3710,f3714,f3718,f3722,f3742,f3772,f3776,f3780,f3784,f3788,f3792,f3796,f3813,f3849,f3853,f3857,f3955,f4200,f4204,f4208,f4212,f4216,f4221,f4225,f4229,f4233,f4237,f4241,f4245,f4249,f4253,f4257,f4261,f4271,f4275,f4279,f4423,f4854,f4858,f4862,f4866,f4870,f4874,f4878,f4882,f4886,f4896,f4900,f4904,f4908,f4912,f4916,f4920,f5395,f5469,f5473,f5477,f5481,f5485,f5489,f5493,f5505,f5509,f5838,f5842,f5846,f5918,f5922,f5926,f5955,f6120,f6124,f6128,f6132,f6136,f6140,f6171,f6175,f6179,f6183,f6412,f6456,f6460,f6464,f6468,f6743,f6747,f6751,f6756,f6761,f6867,f6891,f6895,f6899,f6903,f6907,f6911,f6915,f6919,f7018,f7022,f7213,f7217,f7267,f7271,f7275,f7279,f7355,f7359,f7363,f7367,f7791,f7904,f7908,f7956,f7960,f8079,f8083,f8087,f8091,f8095,f8099,f8103,f8107,f8329,f8620,f8624,f8628,f8632,f8915,f8919,f8923,f8928,f8932,f8988,f8997,f9073,f9121,f9130,f9157,f9383,f9387,f9388,f9414,f9540,f9546,f9551,f9575,f9580,f9620,f9625,f9684,f9688,f9693,f9699,f9704,f9717,f9722,f9727,f9732,f9736,f9741,f9889,f9898,f9909,f9918,f10052,f10053,f10091,f10096,f10100,f10116,f10120,f10128,f10133,f10144,f10153,f10178,f10183,f10187,f10192,f10197,f10202,f10207,f10211,f10215,f10219,f10343,f10348,f10353,f10358,f10363,f10368,f10409,f10456,f10461,f10466,f10471,f10476,f10484,f11363,f11367,f11371,f11375,f11379,f11383,f11387,f11391,f11395,f11595,f11599,f11603,f11607,f11611,f11615,f11619,f11623,f11627,f11631,f11635,f11639,f11643,f11647,f11651,f11655,f12101,f12288,f12292,f12296,f12300,f12305,f12309,f12313,f12317,f12321,f12325,f12329,f12333,f12337,f12341,f12345,f13675,f13679,f13683,f13687,f13691,f13697,f13709,f13723,f13727,f13731,f13739,f13743,f15085,f15086,f15090,f15094,f15095,f15096,f15100,f15106,f15110,f15113,f15170,f15544,f15548,f15556,f15560,f15573,f15577,f15587,f15591,f15595,f15599,f15625,f15688,f15692,f15714,f15718,f15722,f15726,f15762,f15769,f15788,f15792,f15796,f15812,f16154,f16171,f16265,f16269,f16273,f16277,f16281,f16285,f16352,f16356,f16360,f16364,f16368,f16383]) ).
fof(f16383,plain,
( ~ spl11_2
| ~ spl11_75
| ~ spl11_598 ),
inference(avatar_split_clause,[],[f16344,f16283,f709,f350]) ).
fof(f350,plain,
( spl11_2
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f709,plain,
( spl11_75
<=> elem(m_Down(sK4),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_75])]) ).
fof(f16283,plain,
( spl11_598
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_598])]) ).
fof(f16344,plain,
( ~ setIn(sK6,alive)
| ~ spl11_75
| ~ spl11_598 ),
inference(resolution,[],[f16284,f711]) ).
fof(f711,plain,
( elem(m_Down(sK4),queue(host(sK6)))
| ~ spl11_75 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f16284,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),queue(host(X0)))
| ~ setIn(X0,alive) )
| ~ spl11_598 ),
inference(avatar_component_clause,[],[f16283]) ).
fof(f16368,plain,
( spl11_603
| ~ spl11_585 ),
inference(avatar_split_clause,[],[f15764,f15760,f16366]) ).
fof(f16366,plain,
( spl11_603
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_603])]) ).
fof(f15760,plain,
( spl11_585
<=> ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_585])]) ).
fof(f15764,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK4),queue(host(X0))) )
| ~ spl11_585 ),
inference(equality_resolution,[],[f15761]) ).
fof(f15761,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1))) )
| ~ spl11_585 ),
inference(avatar_component_clause,[],[f15760]) ).
fof(f16364,plain,
( spl11_602
| ~ spl11_230
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f14866,f9127,f2139,f16362]) ).
fof(f16362,plain,
( spl11_602
<=> ! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,s(s(host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_602])]) ).
fof(f2139,plain,
( spl11_230
<=> ! [X0] :
( ~ leq(X0,host(sK5))
| leq(X0,s(s(host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_230])]) ).
fof(f9127,plain,
( spl11_454
<=> host(sK4) = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_454])]) ).
fof(f14866,plain,
( ! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,s(s(host(sK6)))) )
| ~ spl11_230
| ~ spl11_454 ),
inference(forward_demodulation,[],[f2140,f9129]) ).
fof(f9129,plain,
( host(sK4) = host(sK5)
| ~ spl11_454 ),
inference(avatar_component_clause,[],[f9127]) ).
fof(f2140,plain,
( ! [X0] :
( leq(X0,s(s(host(sK6))))
| ~ leq(X0,host(sK5)) )
| ~ spl11_230 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f16360,plain,
( spl11_601
| ~ spl11_284
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14572,f8990,f2943,f16358]) ).
fof(f16358,plain,
( spl11_601
<=> ! [X0,X1] :
( sK2 = X0
| last(X0) = last(cons(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_601])]) ).
fof(f2943,plain,
( spl11_284
<=> ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_284])]) ).
fof(f8990,plain,
( spl11_451
<=> q_nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_451])]) ).
fof(f14572,plain,
( ! [X0,X1] :
( sK2 = X0
| last(X0) = last(cons(X1,X0)) )
| ~ spl11_284
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2944,f8992]) ).
fof(f8992,plain,
( q_nil = sK2
| ~ spl11_451 ),
inference(avatar_component_clause,[],[f8990]) ).
fof(f2944,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl11_284 ),
inference(avatar_component_clause,[],[f2943]) ).
fof(f16356,plain,
( spl11_600
| ~ spl11_291
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14571,f8990,f2971,f16354]) ).
fof(f16354,plain,
( spl11_600
<=> ! [X0,X1] :
( sK2 = X0
| head(X0) = head(snoc(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_600])]) ).
fof(f2971,plain,
( spl11_291
<=> ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_291])]) ).
fof(f14571,plain,
( ! [X0,X1] :
( sK2 = X0
| head(X0) = head(snoc(X0,X1)) )
| ~ spl11_291
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2972,f8992]) ).
fof(f2972,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl11_291 ),
inference(avatar_component_clause,[],[f2971]) ).
fof(f16352,plain,
( spl11_599
| ~ spl11_77
| ~ spl11_227
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f13754,f8990,f2127,f728,f16350]) ).
fof(f16350,plain,
( spl11_599
<=> ! [X0] : tail(snoc(queue(host(sK6)),X0)) = cons(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_599])]) ).
fof(f728,plain,
( spl11_77
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_77])]) ).
fof(f2127,plain,
( spl11_227
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK6)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_227])]) ).
fof(f13754,plain,
( ! [X0] : tail(snoc(queue(host(sK6)),X0)) = cons(X0,sK2)
| ~ spl11_77
| ~ spl11_227
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2128,f13753]) ).
fof(f13753,plain,
( ! [X0] : snoc(sK2,X0) = cons(X0,sK2)
| ~ spl11_77
| ~ spl11_451 ),
inference(forward_demodulation,[],[f729,f8992]) ).
fof(f729,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl11_77 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f2128,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK6)),X0))
| ~ spl11_227 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f16285,plain,
( spl11_598
| ~ spl11_584 ),
inference(avatar_split_clause,[],[f15757,f15724,f16283]) ).
fof(f15724,plain,
( spl11_584
<=> ! [X0,X1] :
( host(X1) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_584])]) ).
fof(f15757,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl11_584 ),
inference(equality_resolution,[],[f15725]) ).
fof(f15725,plain,
( ! [X0,X1] :
( host(X1) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_584 ),
inference(avatar_component_clause,[],[f15724]) ).
fof(f16281,plain,
( spl11_597
| ~ spl11_225
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f14996,f9127,f2092,f16279]) ).
fof(f16279,plain,
( spl11_597
<=> ! [X0] :
( leq(host(sK4),s(X0))
| ~ leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_597])]) ).
fof(f2092,plain,
( spl11_225
<=> ! [X0] :
( leq(host(sK5),s(X0))
| ~ leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_225])]) ).
fof(f14996,plain,
( ! [X0] :
( leq(host(sK4),s(X0))
| ~ leq(host(sK6),X0) )
| ~ spl11_225
| ~ spl11_454 ),
inference(forward_demodulation,[],[f2093,f9129]) ).
fof(f2093,plain,
( ! [X0] :
( leq(host(sK5),s(X0))
| ~ leq(host(sK6),X0) )
| ~ spl11_225 ),
inference(avatar_component_clause,[],[f2092]) ).
fof(f16277,plain,
( spl11_596
| ~ spl11_200
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f14935,f9127,f1734,f16275]) ).
fof(f16275,plain,
( spl11_596
<=> ! [X0] :
( leq(host(sK4),X0)
| leq(X0,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_596])]) ).
fof(f1734,plain,
( spl11_200
<=> ! [X0] :
( leq(host(sK5),X0)
| leq(X0,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_200])]) ).
fof(f14935,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(X0,s(host(sK6))) )
| ~ spl11_200
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1735,f9129]) ).
fof(f1735,plain,
( ! [X0] :
( leq(X0,s(host(sK6)))
| leq(host(sK5),X0) )
| ~ spl11_200 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f16273,plain,
( spl11_595
| ~ spl11_177
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f14934,f9127,f1485,f16271]) ).
fof(f16271,plain,
( spl11_595
<=> ! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_595])]) ).
fof(f1485,plain,
( spl11_177
<=> ! [X0] :
( leq(X0,s(host(sK6)))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_177])]) ).
fof(f14934,plain,
( ! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,s(host(sK6))) )
| ~ spl11_177
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1486,f9129]) ).
fof(f1486,plain,
( ! [X0] :
( leq(X0,s(host(sK6)))
| ~ leq(X0,host(sK5)) )
| ~ spl11_177 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f16269,plain,
( spl11_594
| ~ spl11_277
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14575,f8990,f2743,f16267]) ).
fof(f16267,plain,
( spl11_594
<=> ! [X0,X1] :
( sK2 = X0
| elem(last(X0),cons(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_594])]) ).
fof(f2743,plain,
( spl11_277
<=> ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_277])]) ).
fof(f14575,plain,
( ! [X0,X1] :
( sK2 = X0
| elem(last(X0),cons(X1,X0)) )
| ~ spl11_277
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2744,f8992]) ).
fof(f2744,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl11_277 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f16265,plain,
( spl11_593
| ~ spl11_282
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14574,f8990,f2763,f16263]) ).
fof(f16263,plain,
( spl11_593
<=> ! [X0,X1] :
( sK2 = X0
| elem(head(X0),snoc(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_593])]) ).
fof(f2763,plain,
( spl11_282
<=> ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_282])]) ).
fof(f14574,plain,
( ! [X0,X1] :
( sK2 = X0
| elem(head(X0),snoc(X0,X1)) )
| ~ spl11_282
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2764,f8992]) ).
fof(f2764,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl11_282 ),
inference(avatar_component_clause,[],[f2763]) ).
fof(f16171,plain,
( spl11_592
| ~ spl11_259
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14659,f8990,f2423,f16169]) ).
fof(f16169,plain,
( spl11_592
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_592])]) ).
fof(f2423,plain,
( spl11_259
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_259])]) ).
fof(f14659,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,sK2)))
| ~ spl11_259
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2424,f8992]) ).
fof(f2424,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl11_259 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f16154,plain,
( ~ spl11_591
| spl11_232
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f14703,f9127,f2180,f16151]) ).
fof(f16151,plain,
( spl11_591
<=> host(sK4) = s(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_591])]) ).
fof(f2180,plain,
( spl11_232
<=> host(sK5) = s(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_232])]) ).
fof(f14703,plain,
( host(sK4) != s(host(sK6))
| spl11_232
| ~ spl11_454 ),
inference(forward_demodulation,[],[f2181,f9129]) ).
fof(f2181,plain,
( host(sK5) != s(host(sK6))
| spl11_232 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f15812,plain,
( spl11_590
| ~ spl11_155
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f15073,f9127,f1309,f15810]) ).
fof(f15810,plain,
( spl11_590
<=> ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| ~ setIn(sK7(X1,X0),index(down,host(X0)))
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_590])]) ).
fof(f1309,plain,
( spl11_155
<=> ! [X0,X1] :
( elec_1 != index(status,host(X0))
| ~ setIn(sK7(X1,X0),index(down,host(X0)))
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_155])]) ).
fof(f15073,plain,
( ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| ~ setIn(sK7(X1,X0),index(down,host(X0)))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_155
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1310,f9129]) ).
fof(f1310,plain,
( ! [X0,X1] :
( elec_1 != index(status,host(X0))
| ~ setIn(sK7(X1,X0),index(down,host(X0)))
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_155 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f15796,plain,
( spl11_589
| ~ spl11_153
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f15078,f9127,f1287,f15794]) ).
fof(f15794,plain,
( spl11_589
<=> ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| leq(s(zero),sK7(X1,X0))
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_589])]) ).
fof(f1287,plain,
( spl11_153
<=> ! [X0,X1] :
( elec_1 != index(status,host(X0))
| leq(s(zero),sK7(X1,X0))
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_153])]) ).
fof(f15078,plain,
( ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| leq(s(zero),sK7(X1,X0))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_153
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1288,f9129]) ).
fof(f1288,plain,
( ! [X0,X1] :
( elec_1 != index(status,host(X0))
| leq(s(zero),sK7(X1,X0))
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_153 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f15792,plain,
( spl11_588
| ~ spl11_152
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f15075,f9127,f1276,f15790]) ).
fof(f15790,plain,
( spl11_588
<=> ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| ~ leq(host(X0),sK7(X1,X0))
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_588])]) ).
fof(f1276,plain,
( spl11_152
<=> ! [X0,X1] :
( elec_1 != index(status,host(X0))
| ~ leq(host(X0),sK7(X1,X0))
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_152])]) ).
fof(f15075,plain,
( ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| ~ leq(host(X0),sK7(X1,X0))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_152
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1277,f9129]) ).
fof(f1277,plain,
( ! [X0,X1] :
( elec_1 != index(status,host(X0))
| ~ leq(host(X0),sK7(X1,X0))
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_152 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f15788,plain,
( spl11_587
| ~ spl11_154
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f15074,f9127,f1298,f15786]) ).
fof(f15786,plain,
( spl11_587
<=> ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| host(X1) != sK7(X1,X0)
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_587])]) ).
fof(f1298,plain,
( spl11_154
<=> ! [X0,X1] :
( elec_1 != index(status,host(X0))
| host(X1) != sK7(X1,X0)
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_154])]) ).
fof(f15074,plain,
( ! [X0,X1] :
( leq(host(X0),host(sK4))
| elec_1 != index(status,host(X0))
| host(X1) != sK7(X1,X0)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_154
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1299,f9129]) ).
fof(f1299,plain,
( ! [X0,X1] :
( elec_1 != index(status,host(X0))
| host(X1) != sK7(X1,X0)
| leq(host(X0),host(sK5))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_154 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f15769,plain,
( spl11_586
| ~ spl11_145
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f15076,f9127,f1236,f15767]) ).
fof(f15767,plain,
( spl11_586
<=> ! [X0] :
( leq(index(pendack,host(X0)),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_586])]) ).
fof(f1236,plain,
( spl11_145
<=> ! [X0] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK5))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_145])]) ).
fof(f15076,plain,
( ! [X0] :
( leq(index(pendack,host(X0)),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) )
| ~ spl11_145
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1237,f9129]) ).
fof(f1237,plain,
( ! [X0] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK5))
| ~ setIn(X0,alive) )
| ~ spl11_145 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f15762,plain,
( spl11_585
| ~ spl11_144
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f15083,f9127,f1230,f15760]) ).
fof(f1230,plain,
( spl11_144
<=> ! [X0,X1] :
( host(X0) != host(sK5)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_144])]) ).
fof(f15083,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1))) )
| ~ spl11_144
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1231,f9129]) ).
fof(f1231,plain,
( ! [X0,X1] :
( host(X0) != host(sK5)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X0),queue(host(X1))) )
| ~ spl11_144 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f15726,plain,
( spl11_584
| ~ spl11_143
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f15084,f9127,f1224,f15724]) ).
fof(f1224,plain,
( spl11_143
<=> ! [X0,X1] :
( ~ setIn(X0,alive)
| host(X1) != host(sK5)
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_143])]) ).
fof(f15084,plain,
( ! [X0,X1] :
( host(X1) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_143
| ~ spl11_454 ),
inference(forward_demodulation,[],[f1225,f9129]) ).
fof(f1225,plain,
( ! [X0,X1] :
( host(X1) != host(sK5)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl11_143 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f15722,plain,
( spl11_583
| ~ spl11_202
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14578,f8990,f1781,f15720]) ).
fof(f15720,plain,
( spl11_583
<=> ! [X0,X1] :
( sK2 = X0
| snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_583])]) ).
fof(f1781,plain,
( spl11_202
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_202])]) ).
fof(f14578,plain,
( ! [X0,X1] :
( sK2 = X0
| snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1)) )
| ~ spl11_202
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1782,f8992]) ).
fof(f1782,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_202 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f15718,plain,
( spl11_582
| ~ spl11_203
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14577,f8990,f1785,f15716]) ).
fof(f15716,plain,
( spl11_582
<=> ! [X0,X1] :
( sK2 = X0
| elem(X1,init(X0))
| last(X0) = X1
| ~ elem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_582])]) ).
fof(f1785,plain,
( spl11_203
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_203])]) ).
fof(f14577,plain,
( ! [X0,X1] :
( sK2 = X0
| elem(X1,init(X0))
| last(X0) = X1
| ~ elem(X1,X0) )
| ~ spl11_203
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1786,f8992]) ).
fof(f1786,plain,
( ! [X0,X1] :
( elem(X1,init(X0))
| last(X0) = X1
| ~ elem(X1,X0)
| q_nil = X0 )
| ~ spl11_203 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f15714,plain,
( spl11_581
| ~ spl11_204
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14576,f8990,f1789,f15712]) ).
fof(f15712,plain,
( spl11_581
<=> ! [X0,X1] :
( sK2 = X0
| elem(X1,tail(X0))
| head(X0) = X1
| ~ elem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_581])]) ).
fof(f1789,plain,
( spl11_204
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_204])]) ).
fof(f14576,plain,
( ! [X0,X1] :
( sK2 = X0
| elem(X1,tail(X0))
| head(X0) = X1
| ~ elem(X1,X0) )
| ~ spl11_204
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1790,f8992]) ).
fof(f1790,plain,
( ! [X0,X1] :
( elem(X1,tail(X0))
| head(X0) = X1
| ~ elem(X1,X0)
| q_nil = X0 )
| ~ spl11_204 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f15692,plain,
( spl11_580
| ~ spl11_201
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f15286,f8990,f1738,f15690]) ).
fof(f15690,plain,
( spl11_580
<=> ! [X0] :
( sK2 = X0
| ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_580])]) ).
fof(f1738,plain,
( spl11_201
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_201])]) ).
fof(f15286,plain,
( ! [X0] :
( sK2 = X0
| ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0)) )
| ~ spl11_201
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1739,f8992]) ).
fof(f1739,plain,
( ! [X0] :
( ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl11_201 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f15688,plain,
( spl11_579
| ~ spl11_199
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f15285,f8990,f1730,f15686]) ).
fof(f15686,plain,
( spl11_579
<=> ! [X0] :
( sK2 = X0
| ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_579])]) ).
fof(f1730,plain,
( spl11_199
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_199])]) ).
fof(f15285,plain,
( ! [X0] :
( sK2 = X0
| ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0)) )
| ~ spl11_199
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1731,f8992]) ).
fof(f1731,plain,
( ! [X0] :
( ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl11_199 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f15625,plain,
( spl11_578
| ~ spl11_30
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f14051,f623,f488,f15623]) ).
fof(f15623,plain,
( spl11_578
<=> ! [X0] :
( sK6 = X0
| host(X0) != host(sK6)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_578])]) ).
fof(f488,plain,
( spl11_30
<=> ! [X0] :
( host(X0) != host(sK6)
| sK3 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).
fof(f623,plain,
( spl11_59
<=> sK3 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_59])]) ).
fof(f14051,plain,
( ! [X0] :
( sK6 = X0
| host(X0) != host(sK6)
| ~ setIn(X0,alive) )
| ~ spl11_30
| ~ spl11_59 ),
inference(forward_demodulation,[],[f489,f625]) ).
fof(f625,plain,
( sK3 = sK6
| ~ spl11_59 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f489,plain,
( ! [X0] :
( host(X0) != host(sK6)
| sK3 = X0
| ~ setIn(X0,alive) )
| ~ spl11_30 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f15599,plain,
( spl11_577
| ~ spl11_82
| ~ spl11_565 ),
inference(avatar_split_clause,[],[f15154,f15104,f748,f15597]) ).
fof(f15597,plain,
( spl11_577
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| sK2 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_577])]) ).
fof(f748,plain,
( spl11_82
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_82])]) ).
fof(f15104,plain,
( spl11_565
<=> ! [X0] :
( sK2 = X0
| snoc(init(X0),last(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_565])]) ).
fof(f15154,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| sK2 = X0 )
| ~ spl11_82
| ~ spl11_565 ),
inference(superposition,[],[f749,f15105]) ).
fof(f15105,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| sK2 = X0 )
| ~ spl11_565 ),
inference(avatar_component_clause,[],[f15104]) ).
fof(f749,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl11_82 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f15595,plain,
( spl11_576
| ~ spl11_80
| ~ spl11_566 ),
inference(avatar_split_clause,[],[f15151,f15108,f740,f15593]) ).
fof(f15593,plain,
( spl11_576
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| sK2 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_576])]) ).
fof(f740,plain,
( spl11_80
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_80])]) ).
fof(f15108,plain,
( spl11_566
<=> ! [X0] :
( sK2 = X0
| cons(head(X0),tail(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_566])]) ).
fof(f15151,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| sK2 = X0 )
| ~ spl11_80
| ~ spl11_566 ),
inference(superposition,[],[f741,f15109]) ).
fof(f15109,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| sK2 = X0 )
| ~ spl11_566 ),
inference(avatar_component_clause,[],[f15108]) ).
fof(f741,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl11_80 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f15591,plain,
( spl11_575
| ~ spl11_176
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14581,f8990,f1481,f15589]) ).
fof(f15589,plain,
( spl11_575
<=> ! [X0,X1] :
( sK2 = X0
| ~ elem(X1,init(X0))
| elem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_575])]) ).
fof(f1481,plain,
( spl11_176
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_176])]) ).
fof(f14581,plain,
( ! [X0,X1] :
( sK2 = X0
| ~ elem(X1,init(X0))
| elem(X1,X0) )
| ~ spl11_176
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1482,f8992]) ).
fof(f1482,plain,
( ! [X0,X1] :
( ~ elem(X1,init(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl11_176 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f15587,plain,
( spl11_574
| ~ spl11_179
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14579,f8990,f1493,f15585]) ).
fof(f15585,plain,
( spl11_574
<=> ! [X0,X1] :
( sK2 = X0
| ~ elem(X1,tail(X0))
| elem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_574])]) ).
fof(f1493,plain,
( spl11_179
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_179])]) ).
fof(f14579,plain,
( ! [X0,X1] :
( sK2 = X0
| ~ elem(X1,tail(X0))
| elem(X1,X0) )
| ~ spl11_179
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1494,f8992]) ).
fof(f1494,plain,
( ! [X0,X1] :
( ~ elem(X1,tail(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl11_179 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f15577,plain,
( spl11_573
| ~ spl11_170
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f15284,f8990,f1416,f15575]) ).
fof(f15575,plain,
( spl11_573
<=> ! [X0] :
( sK2 = X0
| ordered(tail(X0))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_573])]) ).
fof(f1416,plain,
( spl11_170
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_170])]) ).
fof(f15284,plain,
( ! [X0] :
( sK2 = X0
| ordered(tail(X0))
| ~ ordered(X0) )
| ~ spl11_170
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1417,f8992]) ).
fof(f1417,plain,
( ! [X0] :
( ordered(tail(X0))
| ~ ordered(X0)
| q_nil = X0 )
| ~ spl11_170 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f15573,plain,
( spl11_572
| ~ spl11_169
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f15283,f8990,f1412,f15571]) ).
fof(f15571,plain,
( spl11_572
<=> ! [X0] :
( sK2 = X0
| ordered(init(X0))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_572])]) ).
fof(f1412,plain,
( spl11_169
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_169])]) ).
fof(f15283,plain,
( ! [X0] :
( sK2 = X0
| ordered(init(X0))
| ~ ordered(X0) )
| ~ spl11_169
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1413,f8992]) ).
fof(f1413,plain,
( ! [X0] :
( ordered(init(X0))
| ~ ordered(X0)
| q_nil = X0 )
| ~ spl11_169 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f15560,plain,
( spl11_571
| ~ spl11_160
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14584,f8990,f1336,f15558]) ).
fof(f15558,plain,
( spl11_571
<=> ! [X0] :
( sK2 = X0
| elem(last(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_571])]) ).
fof(f1336,plain,
( spl11_160
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_160])]) ).
fof(f14584,plain,
( ! [X0] :
( sK2 = X0
| elem(last(X0),X0) )
| ~ spl11_160
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1337,f8992]) ).
fof(f1337,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl11_160 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f15556,plain,
( spl11_570
| ~ spl11_162
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14583,f8990,f1344,f15554]) ).
fof(f15554,plain,
( spl11_570
<=> ! [X0] :
( sK2 = X0
| elem(head(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_570])]) ).
fof(f1344,plain,
( spl11_162
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_162])]) ).
fof(f14583,plain,
( ! [X0] :
( sK2 = X0
| elem(head(X0),X0) )
| ~ spl11_162
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1345,f8992]) ).
fof(f1345,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl11_162 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f15548,plain,
( spl11_569
| ~ spl11_36
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f9000,f8990,f526,f15546]) ).
fof(f15546,plain,
( spl11_569
<=> ! [X0] : ordered(cons(X0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_569])]) ).
fof(f526,plain,
( spl11_36
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_36])]) ).
fof(f9000,plain,
( ! [X0] : ordered(cons(X0,sK2))
| ~ spl11_36
| ~ spl11_451 ),
inference(superposition,[],[f527,f8992]) ).
fof(f527,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f15544,plain,
( ~ spl11_568
| spl11_67
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14731,f8990,f659,f15541]) ).
fof(f15541,plain,
( spl11_568
<=> sK2 = queue(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_568])]) ).
fof(f659,plain,
( spl11_67
<=> q_nil = queue(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_67])]) ).
fof(f14731,plain,
( sK2 != queue(host(sK6))
| spl11_67
| ~ spl11_451 ),
inference(forward_demodulation,[],[f661,f8992]) ).
fof(f661,plain,
( q_nil != queue(host(sK6))
| spl11_67 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f15170,plain,
( spl11_567
| ~ spl11_80
| ~ spl11_560 ),
inference(avatar_split_clause,[],[f15149,f13725,f740,f15168]) ).
fof(f15168,plain,
( spl11_567
<=> ! [X0,X1] : sP0(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_567])]) ).
fof(f13725,plain,
( spl11_560
<=> ! [X0] : ordered(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_560])]) ).
fof(f15149,plain,
( ! [X0,X1] : sP0(X0,X1)
| ~ spl11_80
| ~ spl11_560 ),
inference(resolution,[],[f741,f13726]) ).
fof(f13726,plain,
( ! [X0] : ordered(X0)
| ~ spl11_560 ),
inference(avatar_component_clause,[],[f13725]) ).
fof(f15113,plain,
( spl11_490
| ~ spl11_138
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14625,f8990,f1197,f10151]) ).
fof(f10151,plain,
( spl11_490
<=> ! [X0] : sP0(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_490])]) ).
fof(f1197,plain,
( spl11_138
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_138])]) ).
fof(f14625,plain,
( ! [X0] : sP0(X0,sK2)
| ~ spl11_138
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1198,f8992]) ).
fof(f1198,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl11_138 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f15110,plain,
( spl11_566
| ~ spl11_115
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14610,f8990,f987,f15108]) ).
fof(f987,plain,
( spl11_115
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_115])]) ).
fof(f14610,plain,
( ! [X0] :
( sK2 = X0
| cons(head(X0),tail(X0)) = X0 )
| ~ spl11_115
| ~ spl11_451 ),
inference(forward_demodulation,[],[f988,f8992]) ).
fof(f988,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl11_115 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f15106,plain,
( spl11_565
| ~ spl11_114
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14604,f8990,f983,f15104]) ).
fof(f983,plain,
( spl11_114
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_114])]) ).
fof(f14604,plain,
( ! [X0] :
( sK2 = X0
| snoc(init(X0),last(X0)) = X0 )
| ~ spl11_114
| ~ spl11_451 ),
inference(forward_demodulation,[],[f984,f8992]) ).
fof(f984,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl11_114 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f15100,plain,
( spl11_564
| ~ spl11_77
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f13753,f8990,f728,f15098]) ).
fof(f15098,plain,
( spl11_564
<=> ! [X0] : snoc(sK2,X0) = cons(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_564])]) ).
fof(f15096,plain,
( spl11_499
| ~ spl11_139
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14624,f8990,f1201,f10213]) ).
fof(f10213,plain,
( spl11_499
<=> ! [X0] : sP1(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_499])]) ).
fof(f1201,plain,
( spl11_139
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_139])]) ).
fof(f14624,plain,
( ! [X0] : sP1(X0,sK2)
| ~ spl11_139
| ~ spl11_451 ),
inference(forward_demodulation,[],[f1202,f8992]) ).
fof(f1202,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl11_139 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f15095,plain,
( ~ spl11_461
| spl11_11
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f14784,f9127,f396,f9577]) ).
fof(f9577,plain,
( spl11_461
<=> leq(s(host(sK6)),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_461])]) ).
fof(f396,plain,
( spl11_11
<=> leq(s(host(sK6)),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f14784,plain,
( ~ leq(s(host(sK6)),host(sK4))
| spl11_11
| ~ spl11_454 ),
inference(forward_demodulation,[],[f398,f9129]) ).
fof(f398,plain,
( ~ leq(s(host(sK6)),host(sK5))
| spl11_11 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f15094,plain,
( spl11_563
| ~ spl11_52
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14696,f8990,f592,f15092]) ).
fof(f15092,plain,
( spl11_563
<=> ! [X0,X1] : snoc(X1,X0) != sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_563])]) ).
fof(f592,plain,
( spl11_52
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_52])]) ).
fof(f14696,plain,
( ! [X0,X1] : snoc(X1,X0) != sK2
| ~ spl11_52
| ~ spl11_451 ),
inference(forward_demodulation,[],[f593,f8992]) ).
fof(f593,plain,
( ! [X0,X1] : q_nil != snoc(X1,X0)
| ~ spl11_52 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f15090,plain,
( spl11_562
| ~ spl11_53
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14695,f8990,f596,f15088]) ).
fof(f15088,plain,
( spl11_562
<=> ! [X0,X1] : cons(X0,X1) != sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_562])]) ).
fof(f596,plain,
( spl11_53
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_53])]) ).
fof(f14695,plain,
( ! [X0,X1] : cons(X0,X1) != sK2
| ~ spl11_53
| ~ spl11_451 ),
inference(forward_demodulation,[],[f597,f8992]) ).
fof(f597,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl11_53 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f15086,plain,
( spl11_2
| ~ spl11_1
| ~ spl11_59 ),
inference(avatar_split_clause,[],[f14660,f623,f345,f350]) ).
fof(f345,plain,
( spl11_1
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f14660,plain,
( setIn(sK6,alive)
| ~ spl11_1
| ~ spl11_59 ),
inference(forward_demodulation,[],[f347,f625]) ).
fof(f347,plain,
( setIn(sK3,alive)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f15085,plain,
( spl11_484
| ~ spl11_23
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f14626,f8990,f456,f10114]) ).
fof(f10114,plain,
( spl11_484
<=> ! [X0] : ~ elem(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_484])]) ).
fof(f456,plain,
( spl11_23
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f14626,plain,
( ! [X0] : ~ elem(X0,sK2)
| ~ spl11_23
| ~ spl11_451 ),
inference(forward_demodulation,[],[f457,f8992]) ).
fof(f457,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f13743,plain,
( spl11_561
| spl11_67
| ~ spl11_539 ),
inference(avatar_split_clause,[],[f12531,f12099,f659,f13741]) ).
fof(f13741,plain,
( spl11_561
<=> ! [X0] : q_nil != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_561])]) ).
fof(f12099,plain,
( spl11_539
<=> ! [X0,X1] : X0 = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_539])]) ).
fof(f12531,plain,
( ! [X0] : q_nil != X0
| spl11_67
| ~ spl11_539 ),
inference(superposition,[],[f661,f12100]) ).
fof(f12100,plain,
( ! [X0,X1] : X0 = X1
| ~ spl11_539 ),
inference(avatar_component_clause,[],[f12099]) ).
fof(f13739,plain,
~ spl11_559,
inference(avatar_contradiction_clause,[],[f13738]) ).
fof(f13738,plain,
( $false
| ~ spl11_559 ),
inference(equality_resolution,[],[f13690]) ).
fof(f13690,plain,
( ! [X0,X1] : m_Ldr(X1) != X0
| ~ spl11_559 ),
inference(avatar_component_clause,[],[f13689]) ).
fof(f13689,plain,
( spl11_559
<=> ! [X0,X1] : m_Ldr(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_559])]) ).
fof(f13731,plain,
~ spl11_558,
inference(avatar_contradiction_clause,[],[f13730]) ).
fof(f13730,plain,
( $false
| ~ spl11_558 ),
inference(equality_resolution,[],[f13686]) ).
fof(f13686,plain,
( ! [X0,X1] : m_NormQ(X1) != X0
| ~ spl11_558 ),
inference(avatar_component_clause,[],[f13685]) ).
fof(f13685,plain,
( spl11_558
<=> ! [X0,X1] : m_NormQ(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_558])]) ).
fof(f13727,plain,
( spl11_560
| ~ spl11_94
| ~ spl11_539 ),
inference(avatar_split_clause,[],[f12532,f12099,f840,f13725]) ).
fof(f840,plain,
( spl11_94
<=> ordered(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_94])]) ).
fof(f12532,plain,
( ! [X0] : ordered(X0)
| ~ spl11_94
| ~ spl11_539 ),
inference(superposition,[],[f841,f12100]) ).
fof(f841,plain,
( ordered(queue(host(sK6)))
| ~ spl11_94 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f13723,plain,
~ spl11_557,
inference(avatar_contradiction_clause,[],[f13722]) ).
fof(f13722,plain,
( $false
| ~ spl11_557 ),
inference(equality_resolution,[],[f13682]) ).
fof(f13682,plain,
( ! [X0,X1] : m_NotNorm(X1) != X0
| ~ spl11_557 ),
inference(avatar_component_clause,[],[f13681]) ).
fof(f13681,plain,
( spl11_557
<=> ! [X0,X1] : m_NotNorm(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_557])]) ).
fof(f13709,plain,
~ spl11_556,
inference(avatar_contradiction_clause,[],[f13708]) ).
fof(f13708,plain,
( $false
| ~ spl11_556 ),
inference(equality_resolution,[],[f13678]) ).
fof(f13678,plain,
( ! [X0,X1] : m_Halt(X1) != X0
| ~ spl11_556 ),
inference(avatar_component_clause,[],[f13677]) ).
fof(f13677,plain,
( spl11_556
<=> ! [X0,X1] : m_Halt(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_556])]) ).
fof(f13697,plain,
~ spl11_555,
inference(avatar_contradiction_clause,[],[f13696]) ).
fof(f13696,plain,
( $false
| ~ spl11_555 ),
inference(equality_resolution,[],[f13674]) ).
fof(f13674,plain,
( ! [X0] : last(sK2) != X0
| ~ spl11_555 ),
inference(avatar_component_clause,[],[f13673]) ).
fof(f13673,plain,
( spl11_555
<=> ! [X0] : last(sK2) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_555])]) ).
fof(f13691,plain,
( spl11_559
| ~ spl11_51
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10504,f10479,f588,f13689]) ).
fof(f588,plain,
( spl11_51
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_51])]) ).
fof(f10479,plain,
( spl11_512
<=> ! [X1] : m_Down(sK4) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_512])]) ).
fof(f10504,plain,
( ! [X0,X1] : m_Ldr(X1) != X0
| ~ spl11_51
| ~ spl11_512 ),
inference(superposition,[],[f589,f10480]) ).
fof(f10480,plain,
( ! [X1] : m_Down(sK4) = X1
| ~ spl11_512 ),
inference(avatar_component_clause,[],[f10479]) ).
fof(f589,plain,
( ! [X0,X1] : m_Down(X0) != m_Ldr(X1)
| ~ spl11_51 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f13687,plain,
( spl11_558
| ~ spl11_50
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10503,f10479,f584,f13685]) ).
fof(f584,plain,
( spl11_50
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_50])]) ).
fof(f10503,plain,
( ! [X0,X1] : m_NormQ(X1) != X0
| ~ spl11_50
| ~ spl11_512 ),
inference(superposition,[],[f585,f10480]) ).
fof(f585,plain,
( ! [X0,X1] : m_Down(X0) != m_NormQ(X1)
| ~ spl11_50 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f13683,plain,
( spl11_557
| ~ spl11_49
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10502,f10479,f580,f13681]) ).
fof(f580,plain,
( spl11_49
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_49])]) ).
fof(f10502,plain,
( ! [X0,X1] : m_NotNorm(X1) != X0
| ~ spl11_49
| ~ spl11_512 ),
inference(superposition,[],[f581,f10480]) ).
fof(f581,plain,
( ! [X0,X1] : m_Down(X0) != m_NotNorm(X1)
| ~ spl11_49 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f13679,plain,
( spl11_556
| ~ spl11_48
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10501,f10479,f576,f13677]) ).
fof(f576,plain,
( spl11_48
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_48])]) ).
fof(f10501,plain,
( ! [X0,X1] : m_Halt(X1) != X0
| ~ spl11_48
| ~ spl11_512 ),
inference(superposition,[],[f577,f10480]) ).
fof(f577,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl11_48 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f13675,plain,
( spl11_555
| spl11_476
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10493,f10479,f9895,f13673]) ).
fof(f9895,plain,
( spl11_476
<=> m_Down(sK4) = last(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_476])]) ).
fof(f10493,plain,
( ! [X0] : last(sK2) != X0
| spl11_476
| ~ spl11_512 ),
inference(superposition,[],[f9896,f10480]) ).
fof(f9896,plain,
( m_Down(sK4) != last(sK2)
| spl11_476 ),
inference(avatar_component_clause,[],[f9895]) ).
fof(f12345,plain,
( spl11_554
| ~ spl11_200
| ~ spl11_300 ),
inference(avatar_split_clause,[],[f3568,f3208,f1734,f12343]) ).
fof(f12343,plain,
( spl11_554
<=> ! [X0,X1] :
( leq(s(X0),s(s(host(sK6))))
| ~ leq(X0,X1)
| leq(host(sK5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_554])]) ).
fof(f3208,plain,
( spl11_300
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_300])]) ).
fof(f3568,plain,
( ! [X0,X1] :
( leq(s(X0),s(s(host(sK6))))
| ~ leq(X0,X1)
| leq(host(sK5),X1) )
| ~ spl11_200
| ~ spl11_300 ),
inference(resolution,[],[f3209,f1735]) ).
fof(f3209,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| leq(s(X0),s(X1))
| ~ leq(X0,X2) )
| ~ spl11_300 ),
inference(avatar_component_clause,[],[f3208]) ).
fof(f12341,plain,
( spl11_553
| ~ spl11_225
| ~ spl11_299 ),
inference(avatar_split_clause,[],[f3535,f3204,f2092,f12339]) ).
fof(f12339,plain,
( spl11_553
<=> ! [X0,X1] :
( leq(s(X0),s(s(X1)))
| leq(host(sK5),X0)
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_553])]) ).
fof(f3204,plain,
( spl11_299
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_299])]) ).
fof(f3535,plain,
( ! [X0,X1] :
( leq(s(X0),s(s(X1)))
| leq(host(sK5),X0)
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_299 ),
inference(resolution,[],[f3205,f2093]) ).
fof(f3205,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| leq(s(X0),s(X1))
| leq(X2,X0) )
| ~ spl11_299 ),
inference(avatar_component_clause,[],[f3204]) ).
fof(f12337,plain,
( spl11_552
| ~ spl11_177
| ~ spl11_299 ),
inference(avatar_split_clause,[],[f3524,f3204,f1485,f12335]) ).
fof(f12335,plain,
( spl11_552
<=> ! [X0,X1] :
( leq(s(X0),s(s(host(sK6))))
| leq(X1,X0)
| ~ leq(X1,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_552])]) ).
fof(f3524,plain,
( ! [X0,X1] :
( leq(s(X0),s(s(host(sK6))))
| leq(X1,X0)
| ~ leq(X1,host(sK5)) )
| ~ spl11_177
| ~ spl11_299 ),
inference(resolution,[],[f3205,f1486]) ).
fof(f12333,plain,
( spl11_551
| ~ spl11_200
| ~ spl11_299 ),
inference(avatar_split_clause,[],[f3523,f3204,f1734,f12331]) ).
fof(f12331,plain,
( spl11_551
<=> ! [X0,X1] :
( leq(s(X0),s(s(host(sK6))))
| leq(X1,X0)
| leq(host(sK5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_551])]) ).
fof(f3523,plain,
( ! [X0,X1] :
( leq(s(X0),s(s(host(sK6))))
| leq(X1,X0)
| leq(host(sK5),X1) )
| ~ spl11_200
| ~ spl11_299 ),
inference(resolution,[],[f3205,f1735]) ).
fof(f12329,plain,
( spl11_550
| ~ spl11_225
| ~ spl11_296 ),
inference(avatar_split_clause,[],[f3439,f3192,f2092,f12327]) ).
fof(f12327,plain,
( spl11_550
<=> ! [X0,X1] :
( leq(X0,s(s(s(X1))))
| ~ leq(X0,host(sK5))
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_550])]) ).
fof(f3192,plain,
( spl11_296
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_296])]) ).
fof(f3439,plain,
( ! [X0,X1] :
( leq(X0,s(s(s(X1))))
| ~ leq(X0,host(sK5))
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_296 ),
inference(resolution,[],[f3193,f2093]) ).
fof(f3193,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,s(s(X2)))
| ~ leq(X0,X1) )
| ~ spl11_296 ),
inference(avatar_component_clause,[],[f3192]) ).
fof(f12325,plain,
( spl11_549
| ~ spl11_200
| ~ spl11_296 ),
inference(avatar_split_clause,[],[f3430,f3192,f1734,f12323]) ).
fof(f12323,plain,
( spl11_549
<=> ! [X0,X1] :
( leq(X0,s(s(s(host(sK6)))))
| ~ leq(X0,X1)
| leq(host(sK5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_549])]) ).
fof(f3430,plain,
( ! [X0,X1] :
( leq(X0,s(s(s(host(sK6)))))
| ~ leq(X0,X1)
| leq(host(sK5),X1) )
| ~ spl11_200
| ~ spl11_296 ),
inference(resolution,[],[f3193,f1735]) ).
fof(f12321,plain,
( spl11_548
| ~ spl11_225
| ~ spl11_295 ),
inference(avatar_split_clause,[],[f3391,f3188,f2092,f12319]) ).
fof(f12319,plain,
( spl11_548
<=> ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(s(host(sK5)),X0)
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_548])]) ).
fof(f3188,plain,
( spl11_295
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_295])]) ).
fof(f3391,plain,
( ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(s(host(sK5)),X0)
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_295 ),
inference(resolution,[],[f3189,f2093]) ).
fof(f3189,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X1,s(X2))
| leq(s(X0),X1) )
| ~ spl11_295 ),
inference(avatar_component_clause,[],[f3188]) ).
fof(f12317,plain,
( spl11_547
| ~ spl11_177
| ~ spl11_295 ),
inference(avatar_split_clause,[],[f3383,f3188,f1485,f12315]) ).
fof(f12315,plain,
( spl11_547
<=> ! [X0,X1] :
( leq(X0,s(s(host(sK6))))
| leq(s(X1),X0)
| ~ leq(X1,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_547])]) ).
fof(f3383,plain,
( ! [X0,X1] :
( leq(X0,s(s(host(sK6))))
| leq(s(X1),X0)
| ~ leq(X1,host(sK5)) )
| ~ spl11_177
| ~ spl11_295 ),
inference(resolution,[],[f3189,f1486]) ).
fof(f12313,plain,
( spl11_546
| ~ spl11_200
| ~ spl11_295 ),
inference(avatar_split_clause,[],[f3382,f3188,f1734,f12311]) ).
fof(f12311,plain,
( spl11_546
<=> ! [X0,X1] :
( leq(X0,s(s(host(sK6))))
| leq(s(X1),X0)
| leq(host(sK5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_546])]) ).
fof(f3382,plain,
( ! [X0,X1] :
( leq(X0,s(s(host(sK6))))
| leq(s(X1),X0)
| leq(host(sK5),X1) )
| ~ spl11_200
| ~ spl11_295 ),
inference(resolution,[],[f3189,f1735]) ).
fof(f12309,plain,
( spl11_545
| ~ spl11_136
| ~ spl11_290 ),
inference(avatar_split_clause,[],[f3109,f2967,f1175,f12307]) ).
fof(f12307,plain,
( spl11_545
<=> ! [X2,X0,X1] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(snoc(sK2,X0),m_Ack(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_545])]) ).
fof(f1175,plain,
( spl11_136
<=> ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK6)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_136])]) ).
fof(f2967,plain,
( spl11_290
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_290])]) ).
fof(f3109,plain,
( ! [X2,X0,X1] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(snoc(sK2,X0),m_Ack(X1,X2))) )
| ~ spl11_136
| ~ spl11_290 ),
inference(superposition,[],[f2968,f1176]) ).
fof(f1176,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK6)),X0)
| ~ spl11_136 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f2968,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl11_290 ),
inference(avatar_component_clause,[],[f2967]) ).
fof(f12305,plain,
( spl11_544
| ~ spl11_94
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10718,f10479,f840,f12302]) ).
fof(f12302,plain,
( spl11_544
<=> ordered(m_Down(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_544])]) ).
fof(f10718,plain,
( ordered(m_Down(sK4))
| ~ spl11_94
| ~ spl11_512 ),
inference(superposition,[],[f841,f10480]) ).
fof(f12300,plain,
( spl11_543
| ~ spl11_230
| ~ spl11_287 ),
inference(avatar_split_clause,[],[f3064,f2955,f2139,f12298]) ).
fof(f12298,plain,
( spl11_543
<=> ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(s(host(sK6))))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_543])]) ).
fof(f2955,plain,
( spl11_287
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_287])]) ).
fof(f3064,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(s(host(sK6))))
| ~ leq(X0,host(sK5)) )
| ~ spl11_230
| ~ spl11_287 ),
inference(resolution,[],[f2956,f2140]) ).
fof(f2956,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl11_287 ),
inference(avatar_component_clause,[],[f2955]) ).
fof(f12296,plain,
( spl11_542
| ~ spl11_230
| ~ spl11_286 ),
inference(avatar_split_clause,[],[f3024,f2951,f2139,f12294]) ).
fof(f12294,plain,
( spl11_542
<=> ! [X0,X1] :
( leq(X0,s(s(s(host(sK6)))))
| leq(X1,X0)
| ~ leq(X1,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_542])]) ).
fof(f2951,plain,
( spl11_286
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_286])]) ).
fof(f3024,plain,
( ! [X0,X1] :
( leq(X0,s(s(s(host(sK6)))))
| leq(X1,X0)
| ~ leq(X1,host(sK5)) )
| ~ spl11_230
| ~ spl11_286 ),
inference(resolution,[],[f2952,f2140]) ).
fof(f2952,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X1,s(X2))
| leq(X0,X1) )
| ~ spl11_286 ),
inference(avatar_component_clause,[],[f2951]) ).
fof(f12292,plain,
( spl11_541
| ~ spl11_65
| ~ spl11_241 ),
inference(avatar_split_clause,[],[f2263,f2238,f651,f12290]) ).
fof(f12290,plain,
( spl11_541
<=> ! [X0,X1] :
( ~ ordered(snoc(snoc(queue(host(sK6)),X0),X1))
| ordered(snoc(snoc(sK2,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_541])]) ).
fof(f651,plain,
( spl11_65
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_65])]) ).
fof(f2238,plain,
( spl11_241
<=> ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK6)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_241])]) ).
fof(f2263,plain,
( ! [X0,X1] :
( ~ ordered(snoc(snoc(queue(host(sK6)),X0),X1))
| ordered(snoc(snoc(sK2,X0),X1)) )
| ~ spl11_65
| ~ spl11_241 ),
inference(superposition,[],[f652,f2239]) ).
fof(f2239,plain,
( ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK6)),X0),X1)
| ~ spl11_241 ),
inference(avatar_component_clause,[],[f2238]) ).
fof(f652,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl11_65 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f12288,plain,
( spl11_540
| ~ spl11_174
| ~ spl11_230 ),
inference(avatar_split_clause,[],[f2169,f2139,f1473,f12286]) ).
fof(f12286,plain,
( spl11_540
<=> ! [X0,X1] :
( ~ leq(X0,host(sK5))
| ~ leq(X1,X0)
| leq(X1,s(s(s(host(sK6))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_540])]) ).
fof(f1473,plain,
( spl11_174
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_174])]) ).
fof(f2169,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| ~ leq(X1,X0)
| leq(X1,s(s(s(host(sK6))))) )
| ~ spl11_174
| ~ spl11_230 ),
inference(resolution,[],[f2140,f1474]) ).
fof(f1474,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl11_174 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f12101,plain,
( spl11_539
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10485,f10479,f12099]) ).
fof(f10485,plain,
( ! [X0,X1] : X0 = X1
| ~ spl11_512 ),
inference(superposition,[],[f10480,f10480]) ).
fof(f11655,plain,
( spl11_538
| ~ spl11_143
| ~ spl11_454
| ~ spl11_478 ),
inference(avatar_split_clause,[],[f10036,f9915,f9127,f1224,f11653]) ).
fof(f11653,plain,
( spl11_538
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(pidMsg(sK9(m_Down(sK4),sK2))),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_538])]) ).
fof(f9915,plain,
( spl11_478
<=> host(sK4) = host(pidMsg(sK9(m_Down(sK4),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_478])]) ).
fof(f10036,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(pidMsg(sK9(m_Down(sK4),sK2))),queue(host(X0))) )
| ~ spl11_143
| ~ spl11_454
| ~ spl11_478 ),
inference(trivial_inequality_removal,[],[f10035]) ).
fof(f10035,plain,
( ! [X0] :
( host(sK4) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Down(pidMsg(sK9(m_Down(sK4),sK2))),queue(host(X0))) )
| ~ spl11_143
| ~ spl11_454
| ~ spl11_478 ),
inference(forward_demodulation,[],[f9961,f9129]) ).
fof(f9961,plain,
( ! [X0] :
( host(sK4) != host(sK5)
| ~ setIn(X0,alive)
| ~ elem(m_Down(pidMsg(sK9(m_Down(sK4),sK2))),queue(host(X0))) )
| ~ spl11_143
| ~ spl11_478 ),
inference(superposition,[],[f1225,f9917]) ).
fof(f9917,plain,
( host(sK4) = host(pidMsg(sK9(m_Down(sK4),sK2)))
| ~ spl11_478 ),
inference(avatar_component_clause,[],[f9915]) ).
fof(f11651,plain,
( spl11_537
| ~ spl11_225
| ~ spl11_311 ),
inference(avatar_split_clause,[],[f3939,f3688,f2092,f11649]) ).
fof(f11649,plain,
( spl11_537
<=> ! [X0,X1] :
( leq(host(sK5),s(s(X0)))
| ~ leq(X1,X0)
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_537])]) ).
fof(f3688,plain,
( spl11_311
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_311])]) ).
fof(f3939,plain,
( ! [X0,X1] :
( leq(host(sK5),s(s(X0)))
| ~ leq(X1,X0)
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_311 ),
inference(resolution,[],[f3689,f2093]) ).
fof(f3689,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl11_311 ),
inference(avatar_component_clause,[],[f3688]) ).
fof(f11647,plain,
( spl11_536
| ~ spl11_225
| ~ spl11_310 ),
inference(avatar_split_clause,[],[f3909,f3684,f2092,f11645]) ).
fof(f11645,plain,
( spl11_536
<=> ! [X0,X1] :
( leq(host(sK5),s(s(X0)))
| leq(X0,X1)
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_536])]) ).
fof(f3684,plain,
( spl11_310
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_310])]) ).
fof(f3909,plain,
( ! [X0,X1] :
( leq(host(sK5),s(s(X0)))
| leq(X0,X1)
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_310 ),
inference(resolution,[],[f3685,f2093]) ).
fof(f3685,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) )
| ~ spl11_310 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f11643,plain,
( spl11_535
| ~ spl11_177
| ~ spl11_310 ),
inference(avatar_split_clause,[],[f3896,f3684,f1485,f11641]) ).
fof(f11641,plain,
( spl11_535
<=> ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,host(sK6))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_535])]) ).
fof(f3896,plain,
( ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,host(sK6))
| ~ leq(X0,host(sK5)) )
| ~ spl11_177
| ~ spl11_310 ),
inference(resolution,[],[f3685,f1486]) ).
fof(f11639,plain,
( spl11_534
| ~ spl11_200
| ~ spl11_310 ),
inference(avatar_split_clause,[],[f3895,f3684,f1734,f11637]) ).
fof(f11637,plain,
( spl11_534
<=> ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,host(sK6))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_534])]) ).
fof(f3895,plain,
( ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(X1,host(sK6))
| leq(host(sK5),X0) )
| ~ spl11_200
| ~ spl11_310 ),
inference(resolution,[],[f3685,f1735]) ).
fof(f11635,plain,
( spl11_533
| ~ spl11_225
| ~ spl11_287 ),
inference(avatar_split_clause,[],[f3071,f2955,f2092,f11633]) ).
fof(f11633,plain,
( spl11_533
<=> ! [X0,X1] :
( leq(host(sK5),s(X0))
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_533])]) ).
fof(f3071,plain,
( ! [X0,X1] :
( leq(host(sK5),s(X0))
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_287 ),
inference(resolution,[],[f2956,f2093]) ).
fof(f11631,plain,
( spl11_532
| ~ spl11_177
| ~ spl11_287 ),
inference(avatar_split_clause,[],[f3062,f2955,f1485,f11629]) ).
fof(f11629,plain,
( spl11_532
<=> ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(host(sK6)))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_532])]) ).
fof(f3062,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(host(sK6)))
| ~ leq(X0,host(sK5)) )
| ~ spl11_177
| ~ spl11_287 ),
inference(resolution,[],[f2956,f1486]) ).
fof(f11627,plain,
( spl11_531
| ~ spl11_200
| ~ spl11_287 ),
inference(avatar_split_clause,[],[f3061,f2955,f1734,f11625]) ).
fof(f11625,plain,
( spl11_531
<=> ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(host(sK6)))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_531])]) ).
fof(f3061,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,s(host(sK6)))
| leq(host(sK5),X0) )
| ~ spl11_200
| ~ spl11_287 ),
inference(resolution,[],[f2956,f1735]) ).
fof(f11623,plain,
( spl11_530
| ~ spl11_225
| ~ spl11_286 ),
inference(avatar_split_clause,[],[f3031,f2951,f2092,f11621]) ).
fof(f11621,plain,
( spl11_530
<=> ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(host(sK5),X0)
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_530])]) ).
fof(f3031,plain,
( ! [X0,X1] :
( leq(X0,s(s(X1)))
| leq(host(sK5),X0)
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_286 ),
inference(resolution,[],[f2952,f2093]) ).
fof(f11619,plain,
( spl11_529
| ~ spl11_200
| ~ spl11_286 ),
inference(avatar_split_clause,[],[f3021,f2951,f1734,f11617]) ).
fof(f11617,plain,
( spl11_529
<=> ! [X0,X1] :
( leq(X0,s(s(host(sK6))))
| leq(X1,X0)
| leq(host(sK5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_529])]) ).
fof(f3021,plain,
( ! [X0,X1] :
( leq(X0,s(s(host(sK6))))
| leq(X1,X0)
| leq(host(sK5),X1) )
| ~ spl11_200
| ~ spl11_286 ),
inference(resolution,[],[f2952,f1735]) ).
fof(f11615,plain,
( spl11_528
| ~ spl11_136
| ~ spl11_281 ),
inference(avatar_split_clause,[],[f2927,f2759,f1175,f11613]) ).
fof(f11613,plain,
( spl11_528
<=> ! [X0,X1] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(snoc(sK2,X0),m_Ldr(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_528])]) ).
fof(f2759,plain,
( spl11_281
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_281])]) ).
fof(f2927,plain,
( ! [X0,X1] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(snoc(sK2,X0),m_Ldr(X1))) )
| ~ spl11_136
| ~ spl11_281 ),
inference(superposition,[],[f2760,f1176]) ).
fof(f2760,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl11_281 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f11611,plain,
( spl11_527
| ~ spl11_172
| ~ spl11_230 ),
inference(avatar_split_clause,[],[f2170,f2139,f1454,f11609]) ).
fof(f11609,plain,
( spl11_527
<=> ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,X1)
| leq(X1,s(s(host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_527])]) ).
fof(f1454,plain,
( spl11_172
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_172])]) ).
fof(f2170,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,X1)
| leq(X1,s(s(host(sK6)))) )
| ~ spl11_172
| ~ spl11_230 ),
inference(resolution,[],[f2140,f1455]) ).
fof(f1455,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl11_172 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f11607,plain,
( spl11_526
| ~ spl11_185
| ~ spl11_230 ),
inference(avatar_split_clause,[],[f2163,f2139,f1582,f11605]) ).
fof(f11605,plain,
( spl11_526
<=> ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,s(X1))
| ~ leq(s(host(sK6)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_526])]) ).
fof(f1582,plain,
( spl11_185
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_185])]) ).
fof(f2163,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,s(X1))
| ~ leq(s(host(sK6)),X1) )
| ~ spl11_185
| ~ spl11_230 ),
inference(resolution,[],[f2140,f1583]) ).
fof(f1583,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X2))
| leq(X0,s(X1))
| ~ leq(X2,X1) )
| ~ spl11_185 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f11603,plain,
( spl11_525
| ~ spl11_174
| ~ spl11_225 ),
inference(avatar_split_clause,[],[f2122,f2092,f1473,f11601]) ).
fof(f11601,plain,
( spl11_525
<=> ! [X0,X1] :
( ~ leq(host(sK6),X0)
| ~ leq(X1,host(sK5))
| leq(X1,s(s(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_525])]) ).
fof(f2122,plain,
( ! [X0,X1] :
( ~ leq(host(sK6),X0)
| ~ leq(X1,host(sK5))
| leq(X1,s(s(X0))) )
| ~ spl11_174
| ~ spl11_225 ),
inference(resolution,[],[f2093,f1474]) ).
fof(f11599,plain,
( spl11_524
| ~ spl11_174
| ~ spl11_200 ),
inference(avatar_split_clause,[],[f2111,f1734,f1473,f11597]) ).
fof(f11597,plain,
( spl11_524
<=> ! [X0,X1] :
( leq(host(sK5),X0)
| ~ leq(X1,X0)
| leq(X1,s(s(host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_524])]) ).
fof(f2111,plain,
( ! [X0,X1] :
( leq(host(sK5),X0)
| ~ leq(X1,X0)
| leq(X1,s(s(host(sK6)))) )
| ~ spl11_174
| ~ spl11_200 ),
inference(resolution,[],[f1735,f1474]) ).
fof(f11595,plain,
( spl11_523
| ~ spl11_174
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1835,f1485,f1473,f11593]) ).
fof(f11593,plain,
( spl11_523
<=> ! [X0,X1] :
( ~ leq(X0,host(sK5))
| ~ leq(X1,X0)
| leq(X1,s(s(host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_523])]) ).
fof(f1835,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| ~ leq(X1,X0)
| leq(X1,s(s(host(sK6)))) )
| ~ spl11_174
| ~ spl11_177 ),
inference(resolution,[],[f1486,f1474]) ).
fof(f11395,plain,
( spl11_522
| ~ spl11_454
| ~ spl11_511 ),
inference(avatar_split_clause,[],[f10477,f10474,f9127,f11393]) ).
fof(f11393,plain,
( spl11_522
<=> ! [X0,X1] :
( leq(host(sK4),s(X0))
| leq(X0,X1)
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_522])]) ).
fof(f10474,plain,
( spl11_511
<=> ! [X0,X1] :
( leq(host(sK5),s(X0))
| leq(X0,X1)
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_511])]) ).
fof(f10477,plain,
( ! [X0,X1] :
( leq(host(sK4),s(X0))
| leq(X0,X1)
| ~ leq(host(sK6),X1) )
| ~ spl11_454
| ~ spl11_511 ),
inference(forward_demodulation,[],[f10475,f9129]) ).
fof(f10475,plain,
( ! [X0,X1] :
( leq(host(sK5),s(X0))
| leq(X0,X1)
| ~ leq(host(sK6),X1) )
| ~ spl11_511 ),
inference(avatar_component_clause,[],[f10474]) ).
fof(f11391,plain,
( spl11_521
| ~ spl11_454
| ~ spl11_508 ),
inference(avatar_split_clause,[],[f10462,f10459,f9127,f11389]) ).
fof(f11389,plain,
( spl11_521
<=> ! [X0] :
( ~ leq(s(X0),host(sK4))
| leq(X0,s(s(s(host(sK6))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_521])]) ).
fof(f10459,plain,
( spl11_508
<=> ! [X0] :
( leq(X0,s(s(s(host(sK6)))))
| ~ leq(s(X0),host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_508])]) ).
fof(f10462,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK4))
| leq(X0,s(s(s(host(sK6))))) )
| ~ spl11_454
| ~ spl11_508 ),
inference(forward_demodulation,[],[f10460,f9129]) ).
fof(f10460,plain,
( ! [X0] :
( leq(X0,s(s(s(host(sK6)))))
| ~ leq(s(X0),host(sK5)) )
| ~ spl11_508 ),
inference(avatar_component_clause,[],[f10459]) ).
fof(f11387,plain,
( spl11_520
| ~ spl11_454
| ~ spl11_507 ),
inference(avatar_split_clause,[],[f10457,f10454,f9127,f11385]) ).
fof(f11385,plain,
( spl11_520
<=> ! [X0,X1] :
( leq(host(sK4),s(X1))
| ~ leq(host(sK6),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_520])]) ).
fof(f10454,plain,
( spl11_507
<=> ! [X0,X1] :
( ~ leq(host(sK6),X0)
| leq(host(sK5),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_507])]) ).
fof(f10457,plain,
( ! [X0,X1] :
( leq(host(sK4),s(X1))
| ~ leq(host(sK6),X0)
| ~ leq(X0,X1) )
| ~ spl11_454
| ~ spl11_507 ),
inference(forward_demodulation,[],[f10455,f9129]) ).
fof(f10455,plain,
( ! [X0,X1] :
( ~ leq(host(sK6),X0)
| leq(host(sK5),s(X1))
| ~ leq(X0,X1) )
| ~ spl11_507 ),
inference(avatar_component_clause,[],[f10454]) ).
fof(f11383,plain,
( spl11_519
| ~ spl11_454
| ~ spl11_504 ),
inference(avatar_split_clause,[],[f10359,f10356,f9127,f11381]) ).
fof(f11381,plain,
( spl11_519
<=> ! [X0,X1] :
( leq(host(sK4),X0)
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_519])]) ).
fof(f10356,plain,
( spl11_504
<=> ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_504])]) ).
fof(f10359,plain,
( ! [X0,X1] :
( leq(host(sK4),X0)
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) )
| ~ spl11_454
| ~ spl11_504 ),
inference(forward_demodulation,[],[f10357,f9129]) ).
fof(f10357,plain,
( ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) )
| ~ spl11_504 ),
inference(avatar_component_clause,[],[f10356]) ).
fof(f11379,plain,
( spl11_518
| ~ spl11_454
| ~ spl11_503 ),
inference(avatar_split_clause,[],[f10354,f10351,f9127,f11377]) ).
fof(f11377,plain,
( spl11_518
<=> ! [X0,X1] :
( ~ leq(X0,host(sK4))
| leq(X1,s(host(sK6)))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_518])]) ).
fof(f10351,plain,
( spl11_503
<=> ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X1,s(host(sK6)))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_503])]) ).
fof(f10354,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK4))
| leq(X1,s(host(sK6)))
| ~ leq(X1,X0) )
| ~ spl11_454
| ~ spl11_503 ),
inference(forward_demodulation,[],[f10352,f9129]) ).
fof(f10352,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X1,s(host(sK6)))
| ~ leq(X1,X0) )
| ~ spl11_503 ),
inference(avatar_component_clause,[],[f10351]) ).
fof(f11375,plain,
( spl11_517
| ~ spl11_454
| ~ spl11_502 ),
inference(avatar_split_clause,[],[f10349,f10346,f9127,f11373]) ).
fof(f11373,plain,
( spl11_517
<=> ! [X0,X1] :
( ~ leq(X0,host(sK4))
| leq(X0,X1)
| leq(X1,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_517])]) ).
fof(f10346,plain,
( spl11_502
<=> ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,X1)
| leq(X1,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_502])]) ).
fof(f10349,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK4))
| leq(X0,X1)
| leq(X1,s(host(sK6))) )
| ~ spl11_454
| ~ spl11_502 ),
inference(forward_demodulation,[],[f10347,f9129]) ).
fof(f10347,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,X1)
| leq(X1,s(host(sK6))) )
| ~ spl11_502 ),
inference(avatar_component_clause,[],[f10346]) ).
fof(f11371,plain,
( spl11_516
| ~ spl11_454
| ~ spl11_501 ),
inference(avatar_split_clause,[],[f10344,f10341,f9127,f11369]) ).
fof(f11369,plain,
( spl11_516
<=> ! [X0,X1] :
( ~ leq(X0,host(sK4))
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_516])]) ).
fof(f10341,plain,
( spl11_501
<=> ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_501])]) ).
fof(f10344,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK4))
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) )
| ~ spl11_454
| ~ spl11_501 ),
inference(forward_demodulation,[],[f10342,f9129]) ).
fof(f10342,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) )
| ~ spl11_501 ),
inference(avatar_component_clause,[],[f10341]) ).
fof(f11367,plain,
( spl11_515
| ~ spl11_26
| ~ spl11_512 ),
inference(avatar_split_clause,[],[f10499,f10479,f468,f11365]) ).
fof(f11365,plain,
( spl11_515
<=> ! [X0] : pidElem(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_515])]) ).
fof(f468,plain,
( spl11_26
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
fof(f10499,plain,
( ! [X0] : pidElem(X0)
| ~ spl11_26
| ~ spl11_512 ),
inference(superposition,[],[f469,f10480]) ).
fof(f469,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f11363,plain,
( ~ spl11_94
| spl11_514
| ~ spl11_77
| ~ spl11_104
| ~ spl11_233
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f10106,f8990,f2190,f885,f728,f11361,f840]) ).
fof(f11361,plain,
( spl11_514
<=> ! [X0,X1] : sP0(m_Down(sK4),cons(m_Ack(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_514])]) ).
fof(f885,plain,
( spl11_104
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_104])]) ).
fof(f2190,plain,
( spl11_233
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_233])]) ).
fof(f10106,plain,
( ! [X0,X1] :
( sP0(m_Down(sK4),cons(m_Ack(X0,X1),sK2))
| ~ ordered(queue(host(sK6))) )
| ~ spl11_77
| ~ spl11_104
| ~ spl11_233
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2209,f9001]) ).
fof(f9001,plain,
( ! [X0] : snoc(sK2,X0) = cons(X0,sK2)
| ~ spl11_77
| ~ spl11_451 ),
inference(superposition,[],[f729,f8992]) ).
fof(f2209,plain,
( ! [X0,X1] :
( sP0(m_Down(sK4),snoc(sK2,m_Ack(X0,X1)))
| ~ ordered(queue(host(sK6))) )
| ~ spl11_104
| ~ spl11_233 ),
inference(resolution,[],[f2191,f886]) ).
fof(f886,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl11_104 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f2191,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) )
| ~ spl11_233 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f10484,plain,
( spl11_512
| spl11_513
| ~ spl11_161
| ~ spl11_351 ),
inference(avatar_split_clause,[],[f4815,f4277,f1340,f10482,f10479]) ).
fof(f10482,plain,
( spl11_513
<=> ! [X0] : elem(m_Down(sK4),cons(X0,queue(host(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_513])]) ).
fof(f1340,plain,
( spl11_161
<=> ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK6)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_161])]) ).
fof(f4277,plain,
( spl11_351
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_351])]) ).
fof(f4815,plain,
( ! [X0,X1] :
( elem(m_Down(sK4),cons(X0,queue(host(sK6))))
| m_Down(sK4) = X1 )
| ~ spl11_161
| ~ spl11_351 ),
inference(resolution,[],[f4278,f1341]) ).
fof(f1341,plain,
( ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK6)),X0))
| ~ spl11_161 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f4278,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X1,snoc(X3,X0))
| elem(X1,cons(X2,X3))
| X0 = X1 )
| ~ spl11_351 ),
inference(avatar_component_clause,[],[f4277]) ).
fof(f10476,plain,
( spl11_511
| ~ spl11_225
| ~ spl11_292 ),
inference(avatar_split_clause,[],[f3256,f3127,f2092,f10474]) ).
fof(f3127,plain,
( spl11_292
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_292])]) ).
fof(f3256,plain,
( ! [X0,X1] :
( leq(host(sK5),s(X0))
| leq(X0,X1)
| ~ leq(host(sK6),X1) )
| ~ spl11_225
| ~ spl11_292 ),
inference(resolution,[],[f3128,f2093]) ).
fof(f3128,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,s(X1))
| leq(X2,s(X0))
| leq(X0,X1) )
| ~ spl11_292 ),
inference(avatar_component_clause,[],[f3127]) ).
fof(f10471,plain,
( spl11_510
| ~ spl11_177
| ~ spl11_292 ),
inference(avatar_split_clause,[],[f3244,f3127,f1485,f10469]) ).
fof(f10469,plain,
( spl11_510
<=> ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,host(sK6))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_510])]) ).
fof(f3244,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,host(sK6))
| ~ leq(X0,host(sK5)) )
| ~ spl11_177
| ~ spl11_292 ),
inference(resolution,[],[f3128,f1486]) ).
fof(f10466,plain,
( spl11_509
| ~ spl11_200
| ~ spl11_292 ),
inference(avatar_split_clause,[],[f3243,f3127,f1734,f10464]) ).
fof(f10464,plain,
( spl11_509
<=> ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,host(sK6))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_509])]) ).
fof(f3243,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| leq(X1,host(sK6))
| leq(host(sK5),X0) )
| ~ spl11_200
| ~ spl11_292 ),
inference(resolution,[],[f3128,f1735]) ).
fof(f10461,plain,
( spl11_508
| ~ spl11_230
| ~ spl11_262 ),
inference(avatar_split_clause,[],[f2589,f2535,f2139,f10459]) ).
fof(f2535,plain,
( spl11_262
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_262])]) ).
fof(f2589,plain,
( ! [X0] :
( leq(X0,s(s(s(host(sK6)))))
| ~ leq(s(X0),host(sK5)) )
| ~ spl11_230
| ~ spl11_262 ),
inference(resolution,[],[f2536,f2140]) ).
fof(f2536,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(X1)) )
| ~ spl11_262 ),
inference(avatar_component_clause,[],[f2535]) ).
fof(f10456,plain,
( spl11_507
| ~ spl11_185
| ~ spl11_225 ),
inference(avatar_split_clause,[],[f2117,f2092,f1582,f10454]) ).
fof(f2117,plain,
( ! [X0,X1] :
( ~ leq(host(sK6),X0)
| leq(host(sK5),s(X1))
| ~ leq(X0,X1) )
| ~ spl11_185
| ~ spl11_225 ),
inference(resolution,[],[f2093,f1583]) ).
fof(f10409,plain,
( ~ spl11_245
| ~ spl11_484 ),
inference(avatar_contradiction_clause,[],[f10374]) ).
fof(f10374,plain,
( $false
| ~ spl11_245
| ~ spl11_484 ),
inference(resolution,[],[f10115,f2338]) ).
fof(f2338,plain,
( elem(last(queue(host(sK6))),sK2)
| ~ spl11_245 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2336,plain,
( spl11_245
<=> elem(last(queue(host(sK6))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_245])]) ).
fof(f10115,plain,
( ! [X0] : ~ elem(X0,sK2)
| ~ spl11_484 ),
inference(avatar_component_clause,[],[f10114]) ).
fof(f10368,plain,
( spl11_506
| ~ spl11_110
| ~ spl11_200 ),
inference(avatar_split_clause,[],[f2113,f1734,f927,f10366]) ).
fof(f10366,plain,
( spl11_506
<=> ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X1,s(host(sK6)))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_506])]) ).
fof(f927,plain,
( spl11_110
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_110])]) ).
fof(f2113,plain,
( ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X1,s(host(sK6)))
| ~ leq(X1,X0) )
| ~ spl11_110
| ~ spl11_200 ),
inference(resolution,[],[f1735,f928]) ).
fof(f928,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl11_110 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f10363,plain,
( spl11_505
| ~ spl11_172
| ~ spl11_200 ),
inference(avatar_split_clause,[],[f2112,f1734,f1454,f10361]) ).
fof(f10361,plain,
( spl11_505
<=> ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X0,X1)
| leq(X1,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_505])]) ).
fof(f2112,plain,
( ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X0,X1)
| leq(X1,s(host(sK6))) )
| ~ spl11_172
| ~ spl11_200 ),
inference(resolution,[],[f1735,f1455]) ).
fof(f10358,plain,
( spl11_504
| ~ spl11_185
| ~ spl11_200 ),
inference(avatar_split_clause,[],[f2105,f1734,f1582,f10356]) ).
fof(f2105,plain,
( ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) )
| ~ spl11_185
| ~ spl11_200 ),
inference(resolution,[],[f1735,f1583]) ).
fof(f10353,plain,
( spl11_503
| ~ spl11_110
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1837,f1485,f927,f10351]) ).
fof(f1837,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X1,s(host(sK6)))
| ~ leq(X1,X0) )
| ~ spl11_110
| ~ spl11_177 ),
inference(resolution,[],[f1486,f928]) ).
fof(f10348,plain,
( spl11_502
| ~ spl11_172
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1836,f1485,f1454,f10346]) ).
fof(f1836,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,X1)
| leq(X1,s(host(sK6))) )
| ~ spl11_172
| ~ spl11_177 ),
inference(resolution,[],[f1486,f1455]) ).
fof(f10343,plain,
( spl11_501
| ~ spl11_177
| ~ spl11_185 ),
inference(avatar_split_clause,[],[f1829,f1582,f1485,f10341]) ).
fof(f1829,plain,
( ! [X0,X1] :
( ~ leq(X0,host(sK5))
| leq(X0,s(X1))
| ~ leq(host(sK6),X1) )
| ~ spl11_177
| ~ spl11_185 ),
inference(resolution,[],[f1486,f1583]) ).
fof(f10219,plain,
( spl11_500
| ~ spl11_454
| ~ spl11_491 ),
inference(avatar_split_clause,[],[f10179,f10176,f9127,f10217]) ).
fof(f10217,plain,
( spl11_500
<=> ! [X0] :
( ~ leq(s(X0),host(sK4))
| leq(X0,s(s(host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_500])]) ).
fof(f10176,plain,
( spl11_491
<=> ! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(s(host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_491])]) ).
fof(f10179,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK4))
| leq(X0,s(s(host(sK6)))) )
| ~ spl11_454
| ~ spl11_491 ),
inference(forward_demodulation,[],[f10177,f9129]) ).
fof(f10177,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(s(host(sK6)))) )
| ~ spl11_491 ),
inference(avatar_component_clause,[],[f10176]) ).
fof(f10215,plain,
( spl11_499
| ~ spl11_139
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f9003,f8990,f1201,f10213]) ).
fof(f9003,plain,
( ! [X0] : sP1(X0,sK2)
| ~ spl11_139
| ~ spl11_451 ),
inference(superposition,[],[f1202,f8992]) ).
fof(f10211,plain,
( ~ spl11_94
| spl11_498
| ~ spl11_77
| ~ spl11_78
| ~ spl11_233
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f10107,f8990,f2190,f732,f728,f10209,f840]) ).
fof(f10209,plain,
( spl11_498
<=> ! [X0] : sP0(m_Down(sK4),cons(m_Ldr(X0),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_498])]) ).
fof(f732,plain,
( spl11_78
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_78])]) ).
fof(f10107,plain,
( ! [X0] :
( sP0(m_Down(sK4),cons(m_Ldr(X0),sK2))
| ~ ordered(queue(host(sK6))) )
| ~ spl11_77
| ~ spl11_78
| ~ spl11_233
| ~ spl11_451 ),
inference(forward_demodulation,[],[f2208,f9001]) ).
fof(f2208,plain,
( ! [X0] :
( sP0(m_Down(sK4),snoc(sK2,m_Ldr(X0)))
| ~ ordered(queue(host(sK6))) )
| ~ spl11_78
| ~ spl11_233 ),
inference(resolution,[],[f2191,f733]) ).
fof(f733,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl11_78 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f10207,plain,
( spl11_497
| ~ spl11_244
| ~ spl11_258 ),
inference(avatar_split_clause,[],[f3732,f2419,f2305,f10205]) ).
fof(f10205,plain,
( spl11_497
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK6)))
| leq(sK7(X0,sK6),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_497])]) ).
fof(f2305,plain,
( spl11_244
<=> ! [X0] :
( ~ leq(host(sK6),sK7(X0,sK6))
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_244])]) ).
fof(f2419,plain,
( spl11_258
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_258])]) ).
fof(f3732,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK6)))
| leq(sK7(X0,sK6),nbr_proc) )
| ~ spl11_244
| ~ spl11_258 ),
inference(resolution,[],[f2306,f2420]) ).
fof(f2420,plain,
( ! [X0,X1] :
( leq(host(X1),X0)
| leq(X0,nbr_proc) )
| ~ spl11_258 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f2306,plain,
( ! [X0] :
( ~ leq(host(sK6),sK7(X0,sK6))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_244 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f10202,plain,
( spl11_496
| ~ spl11_88
| ~ spl11_300 ),
inference(avatar_split_clause,[],[f3579,f3208,f785,f10200]) ).
fof(f10200,plain,
( spl11_496
<=> ! [X0] :
( leq(s(X0),s(s(host(sK6))))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_496])]) ).
fof(f785,plain,
( spl11_88
<=> leq(host(sK5),s(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_88])]) ).
fof(f3579,plain,
( ! [X0] :
( leq(s(X0),s(s(host(sK6))))
| ~ leq(X0,host(sK5)) )
| ~ spl11_88
| ~ spl11_300 ),
inference(resolution,[],[f3209,f787]) ).
fof(f787,plain,
( leq(host(sK5),s(host(sK6)))
| ~ spl11_88 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f10197,plain,
( spl11_495
| ~ spl11_88
| ~ spl11_299 ),
inference(avatar_split_clause,[],[f3534,f3204,f785,f10195]) ).
fof(f10195,plain,
( spl11_495
<=> ! [X0] :
( leq(s(X0),s(s(host(sK6))))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_495])]) ).
fof(f3534,plain,
( ! [X0] :
( leq(s(X0),s(s(host(sK6))))
| leq(host(sK5),X0) )
| ~ spl11_88
| ~ spl11_299 ),
inference(resolution,[],[f3205,f787]) ).
fof(f10192,plain,
( spl11_494
| ~ spl11_88
| ~ spl11_295 ),
inference(avatar_split_clause,[],[f3390,f3188,f785,f10190]) ).
fof(f10190,plain,
( spl11_494
<=> ! [X0] :
( leq(X0,s(s(host(sK6))))
| leq(s(host(sK5)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_494])]) ).
fof(f3390,plain,
( ! [X0] :
( leq(X0,s(s(host(sK6))))
| leq(s(host(sK5)),X0) )
| ~ spl11_88
| ~ spl11_295 ),
inference(resolution,[],[f3189,f787]) ).
fof(f10187,plain,
( spl11_493
| ~ spl11_200
| ~ spl11_262 ),
inference(avatar_split_clause,[],[f2587,f2535,f1734,f10185]) ).
fof(f10185,plain,
( spl11_493
<=> ! [X0] :
( leq(X0,s(s(host(sK6))))
| leq(host(sK5),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_493])]) ).
fof(f2587,plain,
( ! [X0] :
( leq(X0,s(s(host(sK6))))
| leq(host(sK5),s(X0)) )
| ~ spl11_200
| ~ spl11_262 ),
inference(resolution,[],[f2536,f1735]) ).
fof(f10183,plain,
( spl11_492
| ~ spl11_60
| ~ spl11_241 ),
inference(avatar_split_clause,[],[f2261,f2238,f631,f10181]) ).
fof(f10181,plain,
( spl11_492
<=> ! [X0,X1] : m_Down(sK4) = head(snoc(snoc(queue(host(sK6)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_492])]) ).
fof(f631,plain,
( spl11_60
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_60])]) ).
fof(f2261,plain,
( ! [X0,X1] : m_Down(sK4) = head(snoc(snoc(queue(host(sK6)),X0),X1))
| ~ spl11_60
| ~ spl11_241 ),
inference(superposition,[],[f632,f2239]) ).
fof(f632,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl11_60 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f10178,plain,
( spl11_491
| ~ spl11_156
| ~ spl11_230 ),
inference(avatar_split_clause,[],[f2174,f2139,f1320,f10176]) ).
fof(f1320,plain,
( spl11_156
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_156])]) ).
fof(f2174,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(s(host(sK6)))) )
| ~ spl11_156
| ~ spl11_230 ),
inference(resolution,[],[f2140,f1321]) ).
fof(f1321,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl11_156 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f10153,plain,
( spl11_490
| ~ spl11_138
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f9002,f8990,f1197,f10151]) ).
fof(f9002,plain,
( ! [X0] : sP0(X0,sK2)
| ~ spl11_138
| ~ spl11_451 ),
inference(superposition,[],[f1198,f8992]) ).
fof(f10144,plain,
( ~ spl11_489
| ~ spl11_454
| spl11_466 ),
inference(avatar_split_clause,[],[f9694,f9690,f9127,f10141]) ).
fof(f10141,plain,
( spl11_489
<=> leq(s(s(s(s(s(host(sK6)))))),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_489])]) ).
fof(f9690,plain,
( spl11_466
<=> leq(s(s(s(s(s(host(sK6)))))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_466])]) ).
fof(f9694,plain,
( ~ leq(s(s(s(s(s(host(sK6)))))),host(sK4))
| ~ spl11_454
| spl11_466 ),
inference(forward_demodulation,[],[f9692,f9129]) ).
fof(f9692,plain,
( ~ leq(s(s(s(s(s(host(sK6)))))),host(sK5))
| spl11_466 ),
inference(avatar_component_clause,[],[f9690]) ).
fof(f10133,plain,
( ~ spl11_3
| ~ spl11_488
| ~ spl11_140
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9466,f9127,f1205,f10130,f355]) ).
fof(f355,plain,
( spl11_3
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f10130,plain,
( spl11_488
<=> setIn(host(sK4),index(down,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_488])]) ).
fof(f1205,plain,
( spl11_140
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_140])]) ).
fof(f9466,plain,
( ~ setIn(host(sK4),index(down,host(sK4)))
| ~ setIn(sK5,alive)
| ~ spl11_140
| ~ spl11_454 ),
inference(superposition,[],[f1206,f9129]) ).
fof(f1206,plain,
( ! [X0] :
( ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(X0,alive) )
| ~ spl11_140 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f10128,plain,
( spl11_486
| spl11_487
| ~ spl11_116
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9460,f9127,f991,f10126,f10122]) ).
fof(f10122,plain,
( spl11_486
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_486])]) ).
fof(f10126,plain,
( spl11_487
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_487])]) ).
fof(f991,plain,
( spl11_116
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_116])]) ).
fof(f9460,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK4)))
| setIn(sK5,pids) )
| ~ spl11_116
| ~ spl11_454 ),
inference(superposition,[],[f992,f9129]) ).
fof(f992,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl11_116 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f10120,plain,
( spl11_485
| ~ spl11_140
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9421,f9127,f1205,f10118]) ).
fof(f10118,plain,
( spl11_485
<=> ! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_485])]) ).
fof(f9421,plain,
( ! [X0] :
( ~ setIn(host(sK4),index(down,host(X0)))
| ~ setIn(X0,alive) )
| ~ spl11_140
| ~ spl11_454 ),
inference(superposition,[],[f1206,f9129]) ).
fof(f10116,plain,
( spl11_484
| ~ spl11_23
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f8999,f8990,f456,f10114]) ).
fof(f8999,plain,
( ! [X0] : ~ elem(X0,sK2)
| ~ spl11_23
| ~ spl11_451 ),
inference(superposition,[],[f457,f8992]) ).
fof(f10100,plain,
( spl11_483
| ~ spl11_49
| ~ spl11_480 ),
inference(avatar_split_clause,[],[f10057,f10049,f580,f10098]) ).
fof(f10098,plain,
( spl11_483
<=> ! [X0] : m_NotNorm(X0) != sK9(m_Down(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_483])]) ).
fof(f10049,plain,
( spl11_480
<=> sK9(m_Down(sK4),sK2) = m_Down(sK8(sK9(m_Down(sK4),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_480])]) ).
fof(f10057,plain,
( ! [X0] : m_NotNorm(X0) != sK9(m_Down(sK4),sK2)
| ~ spl11_49
| ~ spl11_480 ),
inference(superposition,[],[f581,f10051]) ).
fof(f10051,plain,
( sK9(m_Down(sK4),sK2) = m_Down(sK8(sK9(m_Down(sK4),sK2)))
| ~ spl11_480 ),
inference(avatar_component_clause,[],[f10049]) ).
fof(f10096,plain,
( spl11_482
| ~ spl11_48
| ~ spl11_480 ),
inference(avatar_split_clause,[],[f10056,f10049,f576,f10094]) ).
fof(f10094,plain,
( spl11_482
<=> ! [X0] : m_Halt(X0) != sK9(m_Down(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_482])]) ).
fof(f10056,plain,
( ! [X0] : m_Halt(X0) != sK9(m_Down(sK4),sK2)
| ~ spl11_48
| ~ spl11_480 ),
inference(superposition,[],[f577,f10051]) ).
fof(f10091,plain,
( spl11_481
| ~ spl11_26
| ~ spl11_480 ),
inference(avatar_split_clause,[],[f10054,f10049,f468,f10088]) ).
fof(f10088,plain,
( spl11_481
<=> pidElem(sK9(m_Down(sK4),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_481])]) ).
fof(f10054,plain,
( pidElem(sK9(m_Down(sK4),sK2))
| ~ spl11_26
| ~ spl11_480 ),
inference(superposition,[],[f469,f10051]) ).
fof(f10053,plain,
( spl11_93
| ~ spl11_14
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f8998,f8990,f411,f836]) ).
fof(f836,plain,
( spl11_93
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_93])]) ).
fof(f411,plain,
( spl11_14
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f8998,plain,
( ordered(sK2)
| ~ spl11_14
| ~ spl11_451 ),
inference(superposition,[],[f413,f8992]) ).
fof(f413,plain,
( ordered(q_nil)
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f10052,plain,
( spl11_479
| spl11_480
| ~ spl11_214
| spl11_477 ),
inference(avatar_split_clause,[],[f9910,f9906,f2002,f10049,f10045]) ).
fof(f10045,plain,
( spl11_479
<=> sK9(m_Down(sK4),sK2) = m_Halt(sK8(sK9(m_Down(sK4),sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_479])]) ).
fof(f2002,plain,
( spl11_214
<=> ! [X0,X1] :
( sK9(X0,X1) = m_Halt(sK8(sK9(X0,X1)))
| sK9(X0,X1) = m_Down(sK8(sK9(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_214])]) ).
fof(f9906,plain,
( spl11_477
<=> sP0(m_Down(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_477])]) ).
fof(f9910,plain,
( sK9(m_Down(sK4),sK2) = m_Down(sK8(sK9(m_Down(sK4),sK2)))
| sK9(m_Down(sK4),sK2) = m_Halt(sK8(sK9(m_Down(sK4),sK2)))
| ~ spl11_214
| spl11_477 ),
inference(resolution,[],[f9908,f2003]) ).
fof(f2003,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| sK9(X0,X1) = m_Down(sK8(sK9(X0,X1)))
| sK9(X0,X1) = m_Halt(sK8(sK9(X0,X1))) )
| ~ spl11_214 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f9908,plain,
( ~ sP0(m_Down(sK4),sK2)
| spl11_477 ),
inference(avatar_component_clause,[],[f9906]) ).
fof(f9918,plain,
( spl11_478
| ~ spl11_40
| ~ spl11_130
| spl11_477 ),
inference(avatar_split_clause,[],[f9913,f9906,f1121,f544,f9915]) ).
fof(f544,plain,
( spl11_40
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_40])]) ).
fof(f1121,plain,
( spl11_130
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_130])]) ).
fof(f9913,plain,
( host(sK4) = host(pidMsg(sK9(m_Down(sK4),sK2)))
| ~ spl11_40
| ~ spl11_130
| spl11_477 ),
inference(forward_demodulation,[],[f9911,f545]) ).
fof(f545,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl11_40 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f9911,plain,
( host(pidMsg(m_Down(sK4))) = host(pidMsg(sK9(m_Down(sK4),sK2)))
| ~ spl11_130
| spl11_477 ),
inference(resolution,[],[f9908,f1122]) ).
fof(f1122,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) )
| ~ spl11_130 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f9909,plain,
( ~ spl11_93
| ~ spl11_477
| spl11_94
| ~ spl11_13
| ~ spl11_107 ),
inference(avatar_split_clause,[],[f932,f915,f406,f840,f9906,f836]) ).
fof(f406,plain,
( spl11_13
<=> cons(m_Down(sK4),sK2) = queue(host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f915,plain,
( spl11_107
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_107])]) ).
fof(f932,plain,
( ordered(queue(host(sK6)))
| ~ sP0(m_Down(sK4),sK2)
| ~ ordered(sK2)
| ~ spl11_13
| ~ spl11_107 ),
inference(superposition,[],[f916,f408]) ).
fof(f408,plain,
( cons(m_Down(sK4),sK2) = queue(host(sK6))
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f916,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl11_107 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f9898,plain,
( spl11_476
| ~ spl11_246
| ~ spl11_468 ),
inference(avatar_split_clause,[],[f9892,f9701,f2340,f9895]) ).
fof(f2340,plain,
( spl11_246
<=> m_Down(sK4) = last(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_246])]) ).
fof(f9701,plain,
( spl11_468
<=> last(queue(host(sK6))) = last(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_468])]) ).
fof(f9892,plain,
( m_Down(sK4) = last(sK2)
| ~ spl11_246
| ~ spl11_468 ),
inference(forward_demodulation,[],[f2342,f9703]) ).
fof(f9703,plain,
( last(queue(host(sK6))) = last(sK2)
| ~ spl11_468 ),
inference(avatar_component_clause,[],[f9701]) ).
fof(f2342,plain,
( m_Down(sK4) = last(queue(host(sK6)))
| ~ spl11_246 ),
inference(avatar_component_clause,[],[f2340]) ).
fof(f9889,plain,
( spl11_475
| ~ spl11_245
| ~ spl11_468 ),
inference(avatar_split_clause,[],[f9706,f9701,f2336,f9886]) ).
fof(f9886,plain,
( spl11_475
<=> elem(last(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_475])]) ).
fof(f9706,plain,
( elem(last(sK2),sK2)
| ~ spl11_245
| ~ spl11_468 ),
inference(superposition,[],[f2338,f9703]) ).
fof(f9741,plain,
( spl11_474
| ~ spl11_88
| ~ spl11_311 ),
inference(avatar_split_clause,[],[f3938,f3688,f785,f9739]) ).
fof(f9739,plain,
( spl11_474
<=> ! [X0] :
( leq(host(sK5),s(s(X0)))
| ~ leq(host(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_474])]) ).
fof(f3938,plain,
( ! [X0] :
( leq(host(sK5),s(s(X0)))
| ~ leq(host(sK6),X0) )
| ~ spl11_88
| ~ spl11_311 ),
inference(resolution,[],[f3689,f787]) ).
fof(f9736,plain,
( spl11_473
| ~ spl11_88
| ~ spl11_310 ),
inference(avatar_split_clause,[],[f3908,f3684,f785,f9734]) ).
fof(f9734,plain,
( spl11_473
<=> ! [X0] :
( leq(host(sK5),s(s(X0)))
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_473])]) ).
fof(f3908,plain,
( ! [X0] :
( leq(host(sK5),s(s(X0)))
| leq(X0,host(sK6)) )
| ~ spl11_88
| ~ spl11_310 ),
inference(resolution,[],[f3685,f787]) ).
fof(f9732,plain,
( spl11_472
| ~ spl11_135
| ~ spl11_320 ),
inference(avatar_split_clause,[],[f3807,f3740,f1166,f9730]) ).
fof(f9730,plain,
( spl11_472
<=> ! [X0] :
( leq(s(zero),sK7(X0,sK6))
| ~ elem(m_Down(X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_472])]) ).
fof(f1166,plain,
( spl11_135
<=> ! [X0] :
( elem(X0,queue(host(sK6)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_135])]) ).
fof(f3740,plain,
( spl11_320
<=> ! [X0] :
( leq(s(zero),sK7(X0,sK6))
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_320])]) ).
fof(f3807,plain,
( ! [X0] :
( leq(s(zero),sK7(X0,sK6))
| ~ elem(m_Down(X0),sK2) )
| ~ spl11_135
| ~ spl11_320 ),
inference(resolution,[],[f3741,f1167]) ).
fof(f1167,plain,
( ! [X0] :
( elem(X0,queue(host(sK6)))
| ~ elem(X0,sK2) )
| ~ spl11_135 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f3741,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK6)))
| leq(s(zero),sK7(X0,sK6)) )
| ~ spl11_320 ),
inference(avatar_component_clause,[],[f3740]) ).
fof(f9727,plain,
( spl11_471
| ~ spl11_231
| ~ spl11_300 ),
inference(avatar_split_clause,[],[f3578,f3208,f2176,f9725]) ).
fof(f9725,plain,
( spl11_471
<=> ! [X0] :
( leq(s(X0),s(host(sK6)))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_471])]) ).
fof(f2176,plain,
( spl11_231
<=> leq(host(sK5),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_231])]) ).
fof(f3578,plain,
( ! [X0] :
( leq(s(X0),s(host(sK6)))
| ~ leq(X0,host(sK5)) )
| ~ spl11_231
| ~ spl11_300 ),
inference(resolution,[],[f3209,f2178]) ).
fof(f2178,plain,
( leq(host(sK5),host(sK6))
| ~ spl11_231 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f9722,plain,
( spl11_470
| ~ spl11_231
| ~ spl11_299 ),
inference(avatar_split_clause,[],[f3533,f3204,f2176,f9720]) ).
fof(f9720,plain,
( spl11_470
<=> ! [X0] :
( leq(s(X0),s(host(sK6)))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_470])]) ).
fof(f3533,plain,
( ! [X0] :
( leq(s(X0),s(host(sK6)))
| leq(host(sK5),X0) )
| ~ spl11_231
| ~ spl11_299 ),
inference(resolution,[],[f3205,f2178]) ).
fof(f9717,plain,
( spl11_469
| ~ spl11_231
| ~ spl11_295 ),
inference(avatar_split_clause,[],[f3507,f3188,f2176,f9715]) ).
fof(f9715,plain,
( spl11_469
<=> ! [X0] :
( leq(X0,s(host(sK6)))
| leq(s(host(sK5)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_469])]) ).
fof(f3507,plain,
( ! [X0] :
( leq(X0,s(host(sK6)))
| leq(s(host(sK5)),X0) )
| ~ spl11_231
| ~ spl11_295 ),
inference(resolution,[],[f2178,f3189]) ).
fof(f9704,plain,
( spl11_451
| spl11_468
| ~ spl11_13
| ~ spl11_284 ),
inference(avatar_split_clause,[],[f2974,f2943,f406,f9701,f8990]) ).
fof(f2974,plain,
( last(queue(host(sK6))) = last(sK2)
| q_nil = sK2
| ~ spl11_13
| ~ spl11_284 ),
inference(superposition,[],[f2944,f408]) ).
fof(f9699,plain,
( spl11_467
| ~ spl11_262
| ~ spl11_332 ),
inference(avatar_split_clause,[],[f4993,f3952,f2535,f9696]) ).
fof(f9696,plain,
( spl11_467
<=> leq(zero,s(sK7(sK4,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_467])]) ).
fof(f3952,plain,
( spl11_332
<=> leq(s(zero),sK7(sK4,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_332])]) ).
fof(f4993,plain,
( leq(zero,s(sK7(sK4,sK6)))
| ~ spl11_262
| ~ spl11_332 ),
inference(resolution,[],[f3954,f2536]) ).
fof(f3954,plain,
( leq(s(zero),sK7(sK4,sK6))
| ~ spl11_332 ),
inference(avatar_component_clause,[],[f3952]) ).
fof(f9693,plain,
( ~ spl11_466
| ~ spl11_230
| ~ spl11_251 ),
inference(avatar_split_clause,[],[f2389,f2373,f2139,f9690]) ).
fof(f2373,plain,
( spl11_251
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_251])]) ).
fof(f2389,plain,
( ~ leq(s(s(s(s(s(host(sK6)))))),host(sK5))
| ~ spl11_230
| ~ spl11_251 ),
inference(resolution,[],[f2374,f2140]) ).
fof(f2374,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl11_251 ),
inference(avatar_component_clause,[],[f2373]) ).
fof(f9688,plain,
( spl11_465
| ~ spl11_58
| ~ spl11_241 ),
inference(avatar_split_clause,[],[f2260,f2238,f618,f9686]) ).
fof(f9686,plain,
( spl11_465
<=> ! [X0,X1] : elem(m_Down(sK4),snoc(snoc(queue(host(sK6)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_465])]) ).
fof(f618,plain,
( spl11_58
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_58])]) ).
fof(f2260,plain,
( ! [X0,X1] : elem(m_Down(sK4),snoc(snoc(queue(host(sK6)),X0),X1))
| ~ spl11_58
| ~ spl11_241 ),
inference(superposition,[],[f619,f2239]) ).
fof(f619,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl11_58 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f9684,plain,
( ~ spl11_3
| ~ spl11_464
| ~ spl11_194
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9478,f9127,f1665,f9681,f355]) ).
fof(f9681,plain,
( spl11_464
<=> elem(m_Down(sK5),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_464])]) ).
fof(f1665,plain,
( spl11_194
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_194])]) ).
fof(f9478,plain,
( ~ elem(m_Down(sK5),queue(host(sK4)))
| ~ setIn(sK5,alive)
| ~ spl11_194
| ~ spl11_454 ),
inference(superposition,[],[f1666,f9129]) ).
fof(f1666,plain,
( ! [X0] :
( ~ elem(m_Down(sK5),queue(host(X0)))
| ~ setIn(X0,alive) )
| ~ spl11_194 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f9625,plain,
( spl11_463
| ~ spl11_236
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9428,f9127,f2202,f9622]) ).
fof(f9622,plain,
( spl11_463
<=> s(host(sK6)) = s(host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_463])]) ).
fof(f2202,plain,
( spl11_236
<=> s(host(sK6)) = s(host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_236])]) ).
fof(f9428,plain,
( s(host(sK6)) = s(host(sK4))
| ~ spl11_236
| ~ spl11_454 ),
inference(superposition,[],[f2204,f9129]) ).
fof(f2204,plain,
( s(host(sK6)) = s(host(sK5))
| ~ spl11_236 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f9620,plain,
( spl11_462
| ~ spl11_12
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9419,f9127,f401,f9617]) ).
fof(f9617,plain,
( spl11_462
<=> host(sK4) = index(ldr,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_462])]) ).
fof(f401,plain,
( spl11_12
<=> host(sK5) = index(ldr,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f9419,plain,
( host(sK4) = index(ldr,host(sK4))
| ~ spl11_12
| ~ spl11_454 ),
inference(superposition,[],[f403,f9129]) ).
fof(f403,plain,
( host(sK5) = index(ldr,host(sK5))
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f9580,plain,
( ~ spl11_461
| spl11_11
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9418,f9127,f396,f9577]) ).
fof(f9418,plain,
( ~ leq(s(host(sK6)),host(sK4))
| spl11_11
| ~ spl11_454 ),
inference(superposition,[],[f398,f9129]) ).
fof(f9575,plain,
( spl11_460
| ~ spl11_9
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9417,f9127,f386,f9572]) ).
fof(f9572,plain,
( spl11_460
<=> norm = index(status,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_460])]) ).
fof(f386,plain,
( spl11_9
<=> norm = index(status,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f9417,plain,
( norm = index(status,host(sK4))
| ~ spl11_9
| ~ spl11_454 ),
inference(superposition,[],[f388,f9129]) ).
fof(f388,plain,
( norm = index(status,host(sK5))
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f9551,plain,
( spl11_459
| ~ spl11_231
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9427,f9127,f2176,f9548]) ).
fof(f9548,plain,
( spl11_459
<=> leq(host(sK4),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_459])]) ).
fof(f9427,plain,
( leq(host(sK4),host(sK6))
| ~ spl11_231
| ~ spl11_454 ),
inference(superposition,[],[f2178,f9129]) ).
fof(f9546,plain,
( ~ spl11_458
| spl11_6
| ~ spl11_454 ),
inference(avatar_split_clause,[],[f9416,f9127,f370,f9543]) ).
fof(f9543,plain,
( spl11_458
<=> host(sK4) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_458])]) ).
fof(f370,plain,
( spl11_6
<=> host(sK5) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f9416,plain,
( host(sK4) != host(sK6)
| spl11_6
| ~ spl11_454 ),
inference(superposition,[],[f372,f9129]) ).
fof(f372,plain,
( host(sK5) != host(sK6)
| spl11_6 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f9540,plain,
( spl11_235
| spl11_457
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_155 ),
inference(avatar_split_clause,[],[f1318,f1309,f623,f391,f365,f9538,f2198]) ).
fof(f2198,plain,
( spl11_235
<=> leq(host(sK6),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_235])]) ).
fof(f9538,plain,
( spl11_457
<=> ! [X0] :
( ~ setIn(sK7(X0,sK6),index(down,host(sK6)))
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_457])]) ).
fof(f365,plain,
( spl11_5
<=> host(sK3) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f391,plain,
( spl11_10
<=> elec_1 = index(status,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f1318,plain,
( ! [X0] :
( ~ setIn(sK7(X0,sK6),index(down,host(sK6)))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_155 ),
inference(forward_demodulation,[],[f1317,f625]) ).
fof(f1317,plain,
( ! [X0] :
( ~ setIn(sK7(X0,sK3),index(down,host(sK6)))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_155 ),
inference(trivial_inequality_removal,[],[f1316]) ).
fof(f1316,plain,
( ! [X0] :
( elec_1 != elec_1
| ~ setIn(sK7(X0,sK3),index(down,host(sK6)))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_155 ),
inference(forward_demodulation,[],[f1312,f393]) ).
fof(f393,plain,
( elec_1 = index(status,host(sK6))
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f1312,plain,
( ! [X0] :
( elec_1 != index(status,host(sK6))
| ~ setIn(sK7(X0,sK3),index(down,host(sK6)))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_155 ),
inference(superposition,[],[f1310,f367]) ).
fof(f367,plain,
( host(sK3) = host(sK6)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f9414,plain,
( ~ spl11_235
| spl11_6
| ~ spl11_109
| ~ spl11_231 ),
inference(avatar_split_clause,[],[f2188,f2176,f923,f370,f2198]) ).
fof(f923,plain,
( spl11_109
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_109])]) ).
fof(f2188,plain,
( host(sK5) = host(sK6)
| ~ leq(host(sK6),host(sK5))
| ~ spl11_109
| ~ spl11_231 ),
inference(resolution,[],[f2178,f924]) ).
fof(f924,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl11_109 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f9388,plain,
( spl11_235
| ~ spl11_25
| ~ spl11_327 ),
inference(avatar_split_clause,[],[f7159,f3794,f464,f2198]) ).
fof(f464,plain,
( spl11_25
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
fof(f3794,plain,
( spl11_327
<=> ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_327])]) ).
fof(f7159,plain,
( leq(host(sK6),host(sK5))
| ~ spl11_25
| ~ spl11_327 ),
inference(resolution,[],[f3795,f465]) ).
fof(f465,plain,
( ! [X0] : leq(X0,X0)
| ~ spl11_25 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f3795,plain,
( ! [X0] :
( ~ leq(X0,host(sK6))
| leq(X0,host(sK5)) )
| ~ spl11_327 ),
inference(avatar_component_clause,[],[f3794]) ).
fof(f9387,plain,
( spl11_456
| ~ spl11_156
| ~ spl11_200 ),
inference(avatar_split_clause,[],[f2116,f1734,f1320,f9385]) ).
fof(f9385,plain,
( spl11_456
<=> ! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_456])]) ).
fof(f2116,plain,
( ! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,s(host(sK6))) )
| ~ spl11_156
| ~ spl11_200 ),
inference(resolution,[],[f1735,f1321]) ).
fof(f9383,plain,
( spl11_455
| ~ spl11_156
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1840,f1485,f1320,f9381]) ).
fof(f9381,plain,
( spl11_455
<=> ! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_455])]) ).
fof(f1840,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,s(host(sK6))) )
| ~ spl11_156
| ~ spl11_177 ),
inference(resolution,[],[f1486,f1321]) ).
fof(f9157,plain,
( ~ spl11_41
| spl11_453 ),
inference(avatar_contradiction_clause,[],[f9131]) ).
fof(f9131,plain,
( $false
| ~ spl11_41
| spl11_453 ),
inference(resolution,[],[f9125,f549]) ).
fof(f549,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl11_41 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl11_41
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_41])]) ).
fof(f9125,plain,
( ~ leq(s(zero),host(sK5))
| spl11_453 ),
inference(avatar_component_clause,[],[f9123]) ).
fof(f9123,plain,
( spl11_453
<=> leq(s(zero),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_453])]) ).
fof(f9130,plain,
( ~ spl11_453
| spl11_454
| spl11_235
| ~ spl11_2
| ~ spl11_38
| ~ spl11_140 ),
inference(avatar_split_clause,[],[f1212,f1205,f536,f350,f2198,f9127,f9123]) ).
fof(f536,plain,
( spl11_38
<=> ! [X5] :
( leq(host(sK6),X5)
| setIn(X5,index(down,host(sK6)))
| host(sK4) = X5
| ~ leq(s(zero),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_38])]) ).
fof(f1212,plain,
( ~ setIn(sK6,alive)
| leq(host(sK6),host(sK5))
| host(sK4) = host(sK5)
| ~ leq(s(zero),host(sK5))
| ~ spl11_38
| ~ spl11_140 ),
inference(resolution,[],[f1206,f537]) ).
fof(f537,plain,
( ! [X5] :
( setIn(X5,index(down,host(sK6)))
| leq(host(sK6),X5)
| host(sK4) = X5
| ~ leq(s(zero),X5) )
| ~ spl11_38 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f9121,plain,
( spl11_235
| ~ spl11_25
| ~ spl11_327 ),
inference(avatar_split_clause,[],[f7159,f3794,f464,f2198]) ).
fof(f9073,plain,
( spl11_93
| ~ spl11_14
| ~ spl11_451 ),
inference(avatar_split_clause,[],[f8998,f8990,f411,f836]) ).
fof(f8997,plain,
( spl11_451
| spl11_452
| ~ spl11_13
| ~ spl11_277 ),
inference(avatar_split_clause,[],[f2772,f2743,f406,f8994,f8990]) ).
fof(f8994,plain,
( spl11_452
<=> elem(last(sK2),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_452])]) ).
fof(f2772,plain,
( elem(last(sK2),queue(host(sK6)))
| q_nil = sK2
| ~ spl11_13
| ~ spl11_277 ),
inference(superposition,[],[f2744,f408]) ).
fof(f8988,plain,
( spl11_450
| ~ spl11_200
| ~ spl11_251 ),
inference(avatar_split_clause,[],[f2387,f2373,f1734,f8985]) ).
fof(f8985,plain,
( spl11_450
<=> leq(host(sK5),s(s(s(s(host(sK6)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_450])]) ).
fof(f2387,plain,
( leq(host(sK5),s(s(s(s(host(sK6))))))
| ~ spl11_200
| ~ spl11_251 ),
inference(resolution,[],[f2374,f1735]) ).
fof(f8932,plain,
( spl11_449
| ~ spl11_156
| ~ spl11_236 ),
inference(avatar_split_clause,[],[f2325,f2202,f1320,f8930]) ).
fof(f8930,plain,
( spl11_449
<=> ! [X0] :
( ~ leq(s(host(sK6)),X0)
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_449])]) ).
fof(f2325,plain,
( ! [X0] :
( ~ leq(s(host(sK6)),X0)
| leq(host(sK5),X0) )
| ~ spl11_156
| ~ spl11_236 ),
inference(superposition,[],[f1321,f2204]) ).
fof(f8928,plain,
( ~ spl11_448
| ~ spl11_146
| ~ spl11_230 ),
inference(avatar_split_clause,[],[f2166,f2139,f1244,f8925]) ).
fof(f8925,plain,
( spl11_448
<=> leq(s(s(s(s(host(sK6))))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_448])]) ).
fof(f1244,plain,
( spl11_146
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_146])]) ).
fof(f2166,plain,
( ~ leq(s(s(s(s(host(sK6))))),host(sK5))
| ~ spl11_146
| ~ spl11_230 ),
inference(resolution,[],[f2140,f1245]) ).
fof(f1245,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl11_146 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f8923,plain,
( spl11_447
| ~ spl11_101
| ~ spl11_200 ),
inference(avatar_split_clause,[],[f2104,f1734,f873,f8921]) ).
fof(f8921,plain,
( spl11_447
<=> ! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_447])]) ).
fof(f873,plain,
( spl11_101
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_101])]) ).
fof(f2104,plain,
( ! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,host(sK6)) )
| ~ spl11_101
| ~ spl11_200 ),
inference(resolution,[],[f1735,f874]) ).
fof(f874,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl11_101 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f8919,plain,
( spl11_446
| ~ spl11_64
| ~ spl11_183 ),
inference(avatar_split_clause,[],[f2077,f1545,f647,f8917]) ).
fof(f8917,plain,
( spl11_446
<=> ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| leq(host(X0),host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_446])]) ).
fof(f647,plain,
( spl11_64
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_64])]) ).
fof(f1545,plain,
( spl11_183
<=> ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| ~ leq(host(sK6),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_183])]) ).
fof(f2077,plain,
( ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| leq(host(X0),host(sK6)) )
| ~ spl11_64
| ~ spl11_183 ),
inference(resolution,[],[f1546,f648]) ).
fof(f648,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl11_64 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1546,plain,
( ! [X0] :
( ~ leq(host(sK6),host(X0))
| ~ elem(m_Ldr(X0),sK2) )
| ~ spl11_183 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f8915,plain,
( spl11_445
| ~ spl11_101
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1828,f1485,f873,f8913]) ).
fof(f8913,plain,
( spl11_445
<=> ! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_445])]) ).
fof(f1828,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK5))
| leq(X0,host(sK6)) )
| ~ spl11_101
| ~ spl11_177 ),
inference(resolution,[],[f1486,f874]) ).
fof(f8632,plain,
( spl11_444
| ~ spl11_208
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f1992,f1936,f1888,f8630]) ).
fof(f8630,plain,
( spl11_444
<=> ! [X4,X0,X3,X2,X1] :
( sK10(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK10(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK10(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_444])]) ).
fof(f1888,plain,
( spl11_208
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_208])]) ).
fof(f1936,plain,
( spl11_213
<=> ! [X2,X0,X1] :
( sK10(X0,cons(X1,X2)) = X1
| elem(sK10(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_213])]) ).
fof(f1992,plain,
( ! [X2,X3,X0,X1,X4] :
( sK10(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK10(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK10(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl11_208
| ~ spl11_213 ),
inference(resolution,[],[f1937,f1889]) ).
fof(f1889,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl11_208 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f1937,plain,
( ! [X2,X0,X1] :
( elem(sK10(X0,cons(X1,X2)),X2)
| sK10(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl11_213 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f8628,plain,
( spl11_443
| ~ spl11_208
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1981,f1932,f1888,f8626]) ).
fof(f8626,plain,
( spl11_443
<=> ! [X4,X0,X3,X2,X1] :
( sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_443])]) ).
fof(f1932,plain,
( spl11_212
<=> ! [X2,X0,X1] :
( sK9(X0,cons(X1,X2)) = X1
| elem(sK9(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_212])]) ).
fof(f1981,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl11_208
| ~ spl11_212 ),
inference(resolution,[],[f1933,f1889]) ).
fof(f1933,plain,
( ! [X2,X0,X1] :
( elem(sK9(X0,cons(X1,X2)),X2)
| sK9(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl11_212 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f8624,plain,
( spl11_442
| ~ spl11_125
| ~ spl11_208
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1976,f1923,f1888,f1068,f8622]) ).
fof(f8622,plain,
( spl11_442
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_442])]) ).
fof(f1068,plain,
( spl11_125
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_125])]) ).
fof(f1923,plain,
( spl11_210
<=> ! [X2,X0,X1] :
( sK10(X0,snoc(X1,X2)) = X2
| elem(sK10(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_210])]) ).
fof(f1976,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1975,f1069]) ).
fof(f1069,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl11_125 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1975,plain,
( ! [X2,X3,X0,X1,X4] :
( sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1974,f1069]) ).
fof(f1974,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1973,f1069]) ).
fof(f1973,plain,
( ! [X2,X3,X0,X1,X4] :
( sK10(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1961,f1069]) ).
fof(f1961,plain,
( ! [X2,X3,X0,X1,X4] :
( sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK10(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_208
| ~ spl11_210 ),
inference(resolution,[],[f1924,f1889]) ).
fof(f1924,plain,
( ! [X2,X0,X1] :
( elem(sK10(X0,snoc(X1,X2)),X1)
| sK10(X0,snoc(X1,X2)) = X2
| sP1(X0,snoc(X1,X2)) )
| ~ spl11_210 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f8620,plain,
( spl11_441
| ~ spl11_125
| ~ spl11_208
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1956,f1919,f1888,f1068,f8618]) ).
fof(f8618,plain,
( spl11_441
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_441])]) ).
fof(f1919,plain,
( spl11_209
<=> ! [X2,X0,X1] :
( sK9(X0,snoc(X1,X2)) = X2
| elem(sK9(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_209])]) ).
fof(f1956,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1955,f1069]) ).
fof(f1955,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1954,f1069]) ).
fof(f1954,plain,
( ! [X2,X3,X0,X1,X4] :
( sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1953,f1069]) ).
fof(f1953,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_125
| ~ spl11_208
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1941,f1069]) ).
fof(f1941,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl11_208
| ~ spl11_209 ),
inference(resolution,[],[f1920,f1889]) ).
fof(f1920,plain,
( ! [X2,X0,X1] :
( elem(sK9(X0,snoc(X1,X2)),X1)
| sK9(X0,snoc(X1,X2)) = X2
| sP0(X0,snoc(X1,X2)) )
| ~ spl11_209 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f8329,plain,
( spl11_440
| ~ spl11_146
| ~ spl11_396 ),
inference(avatar_split_clause,[],[f7328,f6410,f1244,f8326]) ).
fof(f8326,plain,
( spl11_440
<=> leq(host(sK4),s(s(host(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_440])]) ).
fof(f6410,plain,
( spl11_396
<=> ! [X0] :
( leq(host(sK4),X0)
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_396])]) ).
fof(f7328,plain,
( leq(host(sK4),s(s(host(sK6))))
| ~ spl11_146
| ~ spl11_396 ),
inference(resolution,[],[f6411,f1245]) ).
fof(f6411,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(X0,host(sK6)) )
| ~ spl11_396 ),
inference(avatar_component_clause,[],[f6410]) ).
fof(f8107,plain,
( spl11_439
| ~ spl11_199
| ~ spl11_215 ),
inference(avatar_split_clause,[],[f2010,f2006,f1730,f8105]) ).
fof(f8105,plain,
( spl11_439
<=> ! [X0] :
( sK10(last(X0),init(X0)) = m_Down(sK8(sK10(last(X0),init(X0))))
| sK10(last(X0),init(X0)) = m_Halt(sK8(sK10(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_439])]) ).
fof(f2006,plain,
( spl11_215
<=> ! [X0,X1] :
( sK10(X0,X1) = m_Halt(sK8(sK10(X0,X1)))
| sK10(X0,X1) = m_Down(sK8(sK10(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_215])]) ).
fof(f2010,plain,
( ! [X0] :
( sK10(last(X0),init(X0)) = m_Down(sK8(sK10(last(X0),init(X0))))
| sK10(last(X0),init(X0)) = m_Halt(sK8(sK10(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl11_199
| ~ spl11_215 ),
inference(resolution,[],[f2007,f1731]) ).
fof(f2007,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| sK10(X0,X1) = m_Down(sK8(sK10(X0,X1)))
| sK10(X0,X1) = m_Halt(sK8(sK10(X0,X1))) )
| ~ spl11_215 ),
inference(avatar_component_clause,[],[f2006]) ).
fof(f8103,plain,
( spl11_438
| ~ spl11_201
| ~ spl11_214 ),
inference(avatar_split_clause,[],[f2009,f2002,f1738,f8101]) ).
fof(f8101,plain,
( spl11_438
<=> ! [X0] :
( sK9(head(X0),tail(X0)) = m_Down(sK8(sK9(head(X0),tail(X0))))
| sK9(head(X0),tail(X0)) = m_Halt(sK8(sK9(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_438])]) ).
fof(f2009,plain,
( ! [X0] :
( sK9(head(X0),tail(X0)) = m_Down(sK8(sK9(head(X0),tail(X0))))
| sK9(head(X0),tail(X0)) = m_Halt(sK8(sK9(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl11_201
| ~ spl11_214 ),
inference(resolution,[],[f2003,f1739]) ).
fof(f8099,plain,
( spl11_437
| ~ spl11_128
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f1991,f1936,f1081,f8097]) ).
fof(f8097,plain,
( spl11_437
<=> ! [X0,X3,X2,X1] :
( sK10(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK10(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK10(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_437])]) ).
fof(f1081,plain,
( spl11_128
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_128])]) ).
fof(f1991,plain,
( ! [X2,X3,X0,X1] :
( sK10(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK10(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK10(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl11_128
| ~ spl11_213 ),
inference(resolution,[],[f1937,f1082]) ).
fof(f1082,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl11_128 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f8095,plain,
( spl11_436
| ~ spl11_128
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1980,f1932,f1081,f8093]) ).
fof(f8093,plain,
( spl11_436
<=> ! [X0,X3,X2,X1] :
( sK9(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK9(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK9(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_436])]) ).
fof(f1980,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK9(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK9(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl11_128
| ~ spl11_212 ),
inference(resolution,[],[f1933,f1082]) ).
fof(f8091,plain,
( spl11_435
| ~ spl11_125
| ~ spl11_128
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1972,f1923,f1081,f1068,f8089]) ).
fof(f8089,plain,
( spl11_435
<=> ! [X0,X3,X2,X1] :
( elem(sK10(X0,cons(X1,snoc(X2,X3))),X2)
| sK10(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK10(X0,cons(X1,snoc(X2,X3))) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_435])]) ).
fof(f1972,plain,
( ! [X2,X3,X0,X1] :
( elem(sK10(X0,cons(X1,snoc(X2,X3))),X2)
| sK10(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK10(X0,cons(X1,snoc(X2,X3))) = X3 )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1971,f1069]) ).
fof(f1971,plain,
( ! [X2,X3,X0,X1] :
( sK10(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK10(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK10(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1970,f1069]) ).
fof(f1970,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,cons(X1,snoc(X2,X3)))
| sK10(X0,cons(X1,snoc(X2,X3))) = X3
| sK10(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK10(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1969,f1069]) ).
fof(f1969,plain,
( ! [X2,X3,X0,X1] :
( sK10(X0,cons(X1,snoc(X2,X3))) = X3
| sP1(X0,snoc(cons(X1,X2),X3))
| sK10(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK10(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1960,f1069]) ).
fof(f1960,plain,
( ! [X2,X3,X0,X1] :
( sK10(X0,snoc(cons(X1,X2),X3)) = X3
| sP1(X0,snoc(cons(X1,X2),X3))
| sK10(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK10(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_128
| ~ spl11_210 ),
inference(resolution,[],[f1924,f1082]) ).
fof(f8087,plain,
( spl11_434
| ~ spl11_127
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1963,f1923,f1077,f8085]) ).
fof(f8085,plain,
( spl11_434
<=> ! [X0,X3,X2,X1] :
( sK10(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK10(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK10(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_434])]) ).
fof(f1077,plain,
( spl11_127
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_127])]) ).
fof(f1963,plain,
( ! [X2,X3,X0,X1] :
( sK10(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK10(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK10(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl11_127
| ~ spl11_210 ),
inference(resolution,[],[f1924,f1078]) ).
fof(f1078,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl11_127 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f8083,plain,
( spl11_433
| ~ spl11_125
| ~ spl11_128
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1952,f1919,f1081,f1068,f8081]) ).
fof(f8081,plain,
( spl11_433
<=> ! [X0,X3,X2,X1] :
( elem(sK9(X0,cons(X1,snoc(X2,X3))),X2)
| sK9(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_433])]) ).
fof(f1952,plain,
( ! [X2,X3,X0,X1] :
( elem(sK9(X0,cons(X1,snoc(X2,X3))),X2)
| sK9(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3 )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1951,f1069]) ).
fof(f1951,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1950,f1069]) ).
fof(f1950,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3
| sK9(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1949,f1069]) ).
fof(f1949,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,cons(X1,snoc(X2,X3))) = X3
| sP0(X0,snoc(cons(X1,X2),X3))
| sK9(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_125
| ~ spl11_128
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1940,f1069]) ).
fof(f1940,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,snoc(cons(X1,X2),X3)) = X3
| sP0(X0,snoc(cons(X1,X2),X3))
| sK9(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl11_128
| ~ spl11_209 ),
inference(resolution,[],[f1920,f1082]) ).
fof(f8079,plain,
( spl11_432
| ~ spl11_127
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1943,f1919,f1077,f8077]) ).
fof(f8077,plain,
( spl11_432
<=> ! [X0,X3,X2,X1] :
( sK9(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK9(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK9(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_432])]) ).
fof(f1943,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK9(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK9(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl11_127
| ~ spl11_209 ),
inference(resolution,[],[f1920,f1078]) ).
fof(f7960,plain,
( spl11_431
| ~ spl11_103
| ~ spl11_208 ),
inference(avatar_split_clause,[],[f1909,f1888,f881,f7958]) ).
fof(f7958,plain,
( spl11_431
<=> ! [X0,X3,X2,X1] :
( sK10(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK10(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_431])]) ).
fof(f881,plain,
( spl11_103
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK10(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_103])]) ).
fof(f1909,plain,
( ! [X2,X3,X0,X1] :
( sK10(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK10(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) )
| ~ spl11_103
| ~ spl11_208 ),
inference(resolution,[],[f1889,f882]) ).
fof(f882,plain,
( ! [X0,X1] :
( elem(sK10(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl11_103 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f7956,plain,
( spl11_430
| ~ spl11_102
| ~ spl11_208 ),
inference(avatar_split_clause,[],[f1908,f1888,f877,f7954]) ).
fof(f7954,plain,
( spl11_430
<=> ! [X0,X3,X2,X1] :
( sK9(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK9(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_430])]) ).
fof(f877,plain,
( spl11_102
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK9(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_102])]) ).
fof(f1908,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK9(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) )
| ~ spl11_102
| ~ spl11_208 ),
inference(resolution,[],[f1889,f878]) ).
fof(f878,plain,
( ! [X0,X1] :
( elem(sK9(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl11_102 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f7908,plain,
( spl11_429
| ~ spl11_202
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f2000,f1936,f1781,f7906]) ).
fof(f7906,plain,
( spl11_429
<=> ! [X2,X0,X1] :
( elem(sK10(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK10(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_429])]) ).
fof(f2000,plain,
( ! [X2,X0,X1] :
( elem(sK10(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK10(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl11_202
| ~ spl11_213 ),
inference(superposition,[],[f1937,f1782]) ).
fof(f7904,plain,
( spl11_428
| ~ spl11_202
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1989,f1932,f1781,f7902]) ).
fof(f7902,plain,
( spl11_428
<=> ! [X2,X0,X1] :
( elem(sK9(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK9(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_428])]) ).
fof(f1989,plain,
( ! [X2,X0,X1] :
( elem(sK9(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK9(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl11_202
| ~ spl11_212 ),
inference(superposition,[],[f1933,f1782]) ).
fof(f7791,plain,
( spl11_427
| ~ spl11_34
| ~ spl11_396 ),
inference(avatar_split_clause,[],[f7327,f6410,f518,f7788]) ).
fof(f7788,plain,
( spl11_427
<=> leq(host(sK4),s(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_427])]) ).
fof(f518,plain,
( spl11_34
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_34])]) ).
fof(f7327,plain,
( leq(host(sK4),s(host(sK6)))
| ~ spl11_34
| ~ spl11_396 ),
inference(resolution,[],[f6411,f519]) ).
fof(f519,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f7367,plain,
( spl11_426
| ~ spl11_176
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f1995,f1936,f1481,f7365]) ).
fof(f7365,plain,
( spl11_426
<=> ! [X2,X0,X1] :
( sK10(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK10(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_426])]) ).
fof(f1995,plain,
( ! [X2,X0,X1] :
( sK10(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK10(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl11_176
| ~ spl11_213 ),
inference(resolution,[],[f1937,f1482]) ).
fof(f7363,plain,
( spl11_425
| ~ spl11_179
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f1993,f1936,f1493,f7361]) ).
fof(f7361,plain,
( spl11_425
<=> ! [X2,X0,X1] :
( sK10(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK10(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_425])]) ).
fof(f1993,plain,
( ! [X2,X0,X1] :
( sK10(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK10(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl11_179
| ~ spl11_213 ),
inference(resolution,[],[f1937,f1494]) ).
fof(f7359,plain,
( spl11_424
| ~ spl11_176
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1984,f1932,f1481,f7357]) ).
fof(f7357,plain,
( spl11_424
<=> ! [X2,X0,X1] :
( sK9(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK9(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_424])]) ).
fof(f1984,plain,
( ! [X2,X0,X1] :
( sK9(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK9(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl11_176
| ~ spl11_212 ),
inference(resolution,[],[f1933,f1482]) ).
fof(f7355,plain,
( spl11_423
| ~ spl11_179
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1982,f1932,f1493,f7353]) ).
fof(f7353,plain,
( spl11_423
<=> ! [X2,X0,X1] :
( sK9(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK9(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_423])]) ).
fof(f1982,plain,
( ! [X2,X0,X1] :
( sK9(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK9(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl11_179
| ~ spl11_212 ),
inference(resolution,[],[f1933,f1494]) ).
fof(f7279,plain,
( spl11_422
| ~ spl11_176
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1964,f1923,f1481,f7277]) ).
fof(f7277,plain,
( spl11_422
<=> ! [X2,X0,X1] :
( sK10(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK10(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_422])]) ).
fof(f1964,plain,
( ! [X2,X0,X1] :
( sK10(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK10(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl11_176
| ~ spl11_210 ),
inference(resolution,[],[f1924,f1482]) ).
fof(f7275,plain,
( spl11_421
| ~ spl11_179
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1962,f1923,f1493,f7273]) ).
fof(f7273,plain,
( spl11_421
<=> ! [X2,X0,X1] :
( sK10(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK10(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_421])]) ).
fof(f1962,plain,
( ! [X2,X0,X1] :
( sK10(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK10(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl11_179
| ~ spl11_210 ),
inference(resolution,[],[f1924,f1494]) ).
fof(f7271,plain,
( spl11_420
| ~ spl11_176
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1944,f1919,f1481,f7269]) ).
fof(f7269,plain,
( spl11_420
<=> ! [X2,X0,X1] :
( sK9(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK9(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_420])]) ).
fof(f1944,plain,
( ! [X2,X0,X1] :
( sK9(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK9(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl11_176
| ~ spl11_209 ),
inference(resolution,[],[f1920,f1482]) ).
fof(f7267,plain,
( spl11_419
| ~ spl11_179
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1942,f1919,f1493,f7265]) ).
fof(f7265,plain,
( spl11_419
<=> ! [X2,X0,X1] :
( sK9(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK9(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_419])]) ).
fof(f1942,plain,
( ! [X2,X0,X1] :
( sK9(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK9(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl11_179
| ~ spl11_209 ),
inference(resolution,[],[f1920,f1494]) ).
fof(f7217,plain,
( spl11_418
| ~ spl11_187
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1710,f1683,f1590,f7215]) ).
fof(f7215,plain,
( spl11_418
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK9(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK9(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_418])]) ).
fof(f1590,plain,
( spl11_187
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_187])]) ).
fof(f1683,plain,
( spl11_195
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_195])]) ).
fof(f1710,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK9(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK9(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) )
| ~ spl11_187
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1591]) ).
fof(f1591,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl11_187 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1684,plain,
( ! [X0,X1] :
( leq(s(X1),X0)
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl11_195 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f7213,plain,
( spl11_417
| ~ spl11_186
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1709,f1683,f1586,f7211]) ).
fof(f7211,plain,
( spl11_417
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK9(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK9(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_417])]) ).
fof(f1586,plain,
( spl11_186
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_186])]) ).
fof(f1709,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK9(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK9(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl11_186
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1587]) ).
fof(f1587,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl11_186 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f7022,plain,
( spl11_416
| ~ spl11_40
| ~ spl11_221 ),
inference(avatar_split_clause,[],[f2068,f2036,f544,f7020]) ).
fof(f7020,plain,
( spl11_416
<=> ! [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,[spl11_416])]) ).
fof(f2036,plain,
( spl11_221
<=> ! [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,[spl11_221])]) ).
fof(f2068,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) )
| ~ spl11_40
| ~ spl11_221 ),
inference(superposition,[],[f2037,f545]) ).
fof(f2037,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) )
| ~ spl11_221 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f7018,plain,
( spl11_415
| ~ spl11_39
| ~ spl11_221 ),
inference(avatar_split_clause,[],[f2067,f2036,f540,f7016]) ).
fof(f7016,plain,
( spl11_415
<=> ! [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,[spl11_415])]) ).
fof(f540,plain,
( spl11_39
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_39])]) ).
fof(f2067,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) )
| ~ spl11_39
| ~ spl11_221 ),
inference(superposition,[],[f2037,f541]) ).
fof(f541,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl11_39 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f6919,plain,
( spl11_414
| ~ spl11_40
| ~ spl11_220 ),
inference(avatar_split_clause,[],[f2065,f2032,f544,f6917]) ).
fof(f6917,plain,
( spl11_414
<=> ! [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,[spl11_414])]) ).
fof(f2032,plain,
( spl11_220
<=> ! [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,[spl11_220])]) ).
fof(f2065,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) )
| ~ spl11_40
| ~ spl11_220 ),
inference(superposition,[],[f2033,f545]) ).
fof(f2033,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) )
| ~ spl11_220 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f6915,plain,
( spl11_413
| ~ spl11_39
| ~ spl11_220 ),
inference(avatar_split_clause,[],[f2064,f2032,f540,f6913]) ).
fof(f6913,plain,
( spl11_413
<=> ! [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,[spl11_413])]) ).
fof(f2064,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) )
| ~ spl11_39
| ~ spl11_220 ),
inference(superposition,[],[f2033,f541]) ).
fof(f6911,plain,
( spl11_412
| ~ spl11_40
| ~ spl11_217 ),
inference(avatar_split_clause,[],[f2051,f2020,f544,f6909]) ).
fof(f6909,plain,
( spl11_412
<=> ! [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,[spl11_412])]) ).
fof(f2020,plain,
( spl11_217
<=> ! [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,[spl11_217])]) ).
fof(f2051,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) )
| ~ spl11_40
| ~ spl11_217 ),
inference(superposition,[],[f2021,f545]) ).
fof(f2021,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) )
| ~ spl11_217 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f6907,plain,
( spl11_411
| ~ spl11_39
| ~ spl11_217 ),
inference(avatar_split_clause,[],[f2050,f2020,f540,f6905]) ).
fof(f6905,plain,
( spl11_411
<=> ! [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,[spl11_411])]) ).
fof(f2050,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) )
| ~ spl11_39
| ~ spl11_217 ),
inference(superposition,[],[f2021,f541]) ).
fof(f6903,plain,
( spl11_410
| ~ spl11_40
| ~ spl11_216 ),
inference(avatar_split_clause,[],[f2048,f2016,f544,f6901]) ).
fof(f6901,plain,
( spl11_410
<=> ! [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,[spl11_410])]) ).
fof(f2016,plain,
( spl11_216
<=> ! [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,[spl11_216])]) ).
fof(f2048,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) )
| ~ spl11_40
| ~ spl11_216 ),
inference(superposition,[],[f2017,f545]) ).
fof(f2017,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) )
| ~ spl11_216 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f6899,plain,
( spl11_409
| ~ spl11_39
| ~ spl11_216 ),
inference(avatar_split_clause,[],[f2047,f2016,f540,f6897]) ).
fof(f6897,plain,
( spl11_409
<=> ! [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,[spl11_409])]) ).
fof(f2047,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) )
| ~ spl11_39
| ~ spl11_216 ),
inference(superposition,[],[f2017,f541]) ).
fof(f6895,plain,
( spl11_408
| ~ spl11_187
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1660,f1606,f1590,f6893]) ).
fof(f6893,plain,
( spl11_408
<=> ! [X0,X1] :
( leq(pidMsg(sK9(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK9(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_408])]) ).
fof(f1606,plain,
( spl11_191
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_191])]) ).
fof(f1660,plain,
( ! [X0,X1] :
( leq(pidMsg(sK9(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK9(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) )
| ~ spl11_187
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1591]) ).
fof(f1607,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| leq(X1,X0)
| s(X0) = X1 )
| ~ spl11_191 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f6891,plain,
( spl11_407
| ~ spl11_186
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1659,f1606,f1586,f6889]) ).
fof(f6889,plain,
( spl11_407
<=> ! [X0,X1] :
( leq(pidMsg(sK9(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK9(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_407])]) ).
fof(f1659,plain,
( ! [X0,X1] :
( leq(pidMsg(sK9(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK9(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl11_186
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1587]) ).
fof(f6867,plain,
( spl11_406
| ~ spl11_125
| ~ spl11_207 ),
inference(avatar_split_clause,[],[f1897,f1884,f1068,f6865]) ).
fof(f6865,plain,
( spl11_406
<=> ! [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,[spl11_406])]) ).
fof(f1884,plain,
( spl11_207
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_207])]) ).
fof(f1897,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))) )
| ~ spl11_125
| ~ spl11_207 ),
inference(superposition,[],[f1885,f1069]) ).
fof(f1885,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_207 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f6761,plain,
( spl11_405
| ~ spl11_202
| ~ spl11_207 ),
inference(avatar_split_clause,[],[f1899,f1884,f1781,f6759]) ).
fof(f6759,plain,
( spl11_405
<=> ! [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,[spl11_405])]) ).
fof(f1899,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP1(X1,cons(head(X0),tail(X0)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl11_202
| ~ spl11_207 ),
inference(superposition,[],[f1885,f1782]) ).
fof(f6756,plain,
( spl11_404
| ~ spl11_189
| ~ spl11_206 ),
inference(avatar_split_clause,[],[f1879,f1797,f1598,f6754]) ).
fof(f6754,plain,
( spl11_404
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Down(X0),X1)),sK8(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_404])]) ).
fof(f1598,plain,
( spl11_189
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_189])]) ).
fof(f1797,plain,
( spl11_206
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK8(m_Down(X0)))
| m_Down(X0) = m_Down(sK8(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_206])]) ).
fof(f1879,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Down(X0),X1)),sK8(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_189
| ~ spl11_206 ),
inference(superposition,[],[f1599,f1798]) ).
fof(f1798,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK8(m_Down(X0)))
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_206 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f1599,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl11_189 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f6751,plain,
( spl11_403
| ~ spl11_187
| ~ spl11_206 ),
inference(avatar_split_clause,[],[f1878,f1797,f1590,f6749]) ).
fof(f6749,plain,
( spl11_403
<=> ! [X0,X1] :
( ~ leq(sK8(m_Down(X0)),pidMsg(sK9(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_403])]) ).
fof(f1878,plain,
( ! [X0,X1] :
( ~ leq(sK8(m_Down(X0)),pidMsg(sK9(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_187
| ~ spl11_206 ),
inference(superposition,[],[f1591,f1798]) ).
fof(f6747,plain,
( spl11_402
| ~ spl11_130
| ~ spl11_201 ),
inference(avatar_split_clause,[],[f1768,f1738,f1121,f6745]) ).
fof(f6745,plain,
( spl11_402
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK9(head(X0),tail(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_402])]) ).
fof(f1768,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK9(head(X0),tail(X0)))) )
| ~ spl11_130
| ~ spl11_201 ),
inference(resolution,[],[f1739,f1122]) ).
fof(f6743,plain,
( spl11_401
| ~ spl11_131
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f1752,f1730,f1125,f6741]) ).
fof(f6741,plain,
( spl11_401
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK10(last(X0),init(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_401])]) ).
fof(f1125,plain,
( spl11_131
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_131])]) ).
fof(f1752,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK10(last(X0),init(X0)))) )
| ~ spl11_131
| ~ spl11_199 ),
inference(resolution,[],[f1731,f1126]) ).
fof(f1126,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) )
| ~ spl11_131 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f6468,plain,
( spl11_400
| ~ spl11_125
| ~ spl11_208 ),
inference(avatar_split_clause,[],[f1912,f1888,f1068,f6466]) ).
fof(f6466,plain,
( spl11_400
<=> ! [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,[spl11_400])]) ).
fof(f1912,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| X2 = X3
| elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl11_125
| ~ spl11_208 ),
inference(superposition,[],[f1889,f1069]) ).
fof(f6464,plain,
( spl11_399
| ~ spl11_114
| ~ spl11_207 ),
inference(avatar_split_clause,[],[f1896,f1884,f983,f6462]) ).
fof(f6462,plain,
( spl11_399
<=> ! [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,[spl11_399])]) ).
fof(f1896,plain,
( ! [X0,X1] :
( ordered(cons(X1,X0))
| ~ sP1(last(X0),cons(X1,init(X0)))
| ~ ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_207 ),
inference(superposition,[],[f1885,f984]) ).
fof(f6460,plain,
( spl11_398
| ~ spl11_107
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1819,f1781,f915,f6458]) ).
fof(f6458,plain,
( spl11_398
<=> ! [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,[spl11_398])]) ).
fof(f1819,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP0(head(X0),snoc(tail(X0),X1))
| ~ ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_107
| ~ spl11_202 ),
inference(superposition,[],[f916,f1782]) ).
fof(f6456,plain,
( spl11_397
| ~ spl11_124
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1706,f1683,f1064,f6454]) ).
fof(f6454,plain,
( spl11_397
<=> ! [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,[spl11_397])]) ).
fof(f1064,plain,
( spl11_124
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_124])]) ).
fof(f1706,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl11_124
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1065]) ).
fof(f1065,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl11_124 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f6412,plain,
( spl11_396
| spl11_7
| ~ spl11_279 ),
inference(avatar_split_clause,[],[f2801,f2751,f375,f6410]) ).
fof(f375,plain,
( spl11_7
<=> leq(host(sK6),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f2751,plain,
( spl11_279
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_279])]) ).
fof(f2801,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(X0,host(sK6)) )
| spl11_7
| ~ spl11_279 ),
inference(resolution,[],[f2752,f377]) ).
fof(f377,plain,
( ~ leq(host(sK6),host(sK4))
| spl11_7 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f2752,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl11_279 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f6183,plain,
( spl11_395
| ~ spl11_115
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f1999,f1936,f987,f6181]) ).
fof(f6181,plain,
( spl11_395
<=> ! [X0,X1] :
( elem(sK10(X1,X0),tail(X0))
| head(X0) = sK10(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_395])]) ).
fof(f1999,plain,
( ! [X0,X1] :
( elem(sK10(X1,X0),tail(X0))
| head(X0) = sK10(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl11_115
| ~ spl11_213 ),
inference(superposition,[],[f1937,f988]) ).
fof(f6179,plain,
( spl11_394
| ~ spl11_115
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1988,f1932,f987,f6177]) ).
fof(f6177,plain,
( spl11_394
<=> ! [X0,X1] :
( elem(sK9(X1,X0),tail(X0))
| head(X0) = sK9(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_394])]) ).
fof(f1988,plain,
( ! [X0,X1] :
( elem(sK9(X1,X0),tail(X0))
| head(X0) = sK9(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl11_115
| ~ spl11_212 ),
inference(superposition,[],[f1933,f988]) ).
fof(f6175,plain,
( spl11_393
| ~ spl11_114
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1967,f1923,f983,f6173]) ).
fof(f6173,plain,
( spl11_393
<=> ! [X0,X1] :
( elem(sK10(X1,X0),init(X0))
| last(X0) = sK10(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_393])]) ).
fof(f1967,plain,
( ! [X0,X1] :
( elem(sK10(X1,X0),init(X0))
| last(X0) = sK10(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_210 ),
inference(superposition,[],[f1924,f984]) ).
fof(f6171,plain,
( spl11_392
| ~ spl11_114
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1947,f1919,f983,f6169]) ).
fof(f6169,plain,
( spl11_392
<=> ! [X0,X1] :
( elem(sK9(X1,X0),init(X0))
| last(X0) = sK9(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_392])]) ).
fof(f1947,plain,
( ! [X0,X1] :
( elem(sK9(X1,X0),init(X0))
| last(X0) = sK9(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_209 ),
inference(superposition,[],[f1920,f984]) ).
fof(f6140,plain,
( spl11_391
| ~ spl11_202
| ~ spl11_208 ),
inference(avatar_split_clause,[],[f1914,f1888,f1781,f6138]) ).
fof(f6138,plain,
( spl11_391
<=> ! [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,[spl11_391])]) ).
fof(f1914,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| X1 = X2
| elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl11_202
| ~ spl11_208 ),
inference(superposition,[],[f1889,f1782]) ).
fof(f6136,plain,
( spl11_390
| ~ spl11_114
| ~ spl11_208 ),
inference(avatar_split_clause,[],[f1911,f1888,f983,f6134]) ).
fof(f6134,plain,
( spl11_390
<=> ! [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,[spl11_390])]) ).
fof(f1911,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,X0))
| last(X0) = X1
| elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_208 ),
inference(superposition,[],[f1889,f984]) ).
fof(f6132,plain,
( spl11_389
| ~ spl11_128
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1821,f1781,f1081,f6130]) ).
fof(f6130,plain,
( spl11_389
<=> ! [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,[spl11_389])]) ).
fof(f1821,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| head(X0) = X2
| elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_128
| ~ spl11_202 ),
inference(superposition,[],[f1082,f1782]) ).
fof(f6128,plain,
( spl11_388
| ~ spl11_125
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1820,f1781,f1068,f6126]) ).
fof(f6126,plain,
( spl11_388
<=> ! [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,[spl11_388])]) ).
fof(f1820,plain,
( ! [X2,X0,X1] :
( cons(head(X0),snoc(snoc(tail(X0),X1),X2)) = snoc(snoc(X0,X1),X2)
| q_nil = X0 )
| ~ spl11_125
| ~ spl11_202 ),
inference(superposition,[],[f1069,f1782]) ).
fof(f6124,plain,
( spl11_387
| ~ spl11_195
| ~ spl11_198 ),
inference(avatar_split_clause,[],[f1743,f1726,f1683,f6122]) ).
fof(f6122,plain,
( spl11_387
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_387])]) ).
fof(f1726,plain,
( spl11_198
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_198])]) ).
fof(f1743,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) )
| ~ spl11_195
| ~ spl11_198 ),
inference(resolution,[],[f1727,f1684]) ).
fof(f1727,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl11_198 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f6120,plain,
( spl11_386
| ~ spl11_185
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1705,f1683,f1582,f6118]) ).
fof(f6118,plain,
( spl11_386
<=> ! [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,[spl11_386])]) ).
fof(f1705,plain,
( ! [X2,X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl11_185
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1583]) ).
fof(f5955,plain,
( spl11_385
| ~ spl11_99
| ~ spl11_206 ),
inference(avatar_split_clause,[],[f1876,f1797,f865,f5953]) ).
fof(f5953,plain,
( spl11_385
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK8(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_385])]) ).
fof(f865,plain,
( spl11_99
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_99])]) ).
fof(f1876,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK8(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_99
| ~ spl11_206 ),
inference(superposition,[],[f866,f1798]) ).
fof(f866,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 )
| ~ spl11_99 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f5926,plain,
( spl11_384
| ~ spl11_185
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1655,f1606,f1582,f5924]) ).
fof(f5924,plain,
( spl11_384
<=> ! [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,[spl11_384])]) ).
fof(f1655,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl11_185
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1583]) ).
fof(f5922,plain,
( spl11_383
| ~ spl11_127
| ~ spl11_162 ),
inference(avatar_split_clause,[],[f1378,f1344,f1077,f5920]) ).
fof(f5920,plain,
( spl11_383
<=> ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_383])]) ).
fof(f1378,plain,
( ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) )
| ~ spl11_127
| ~ spl11_162 ),
inference(resolution,[],[f1345,f1078]) ).
fof(f5918,plain,
( spl11_382
| ~ spl11_128
| ~ spl11_160 ),
inference(avatar_split_clause,[],[f1371,f1336,f1081,f5916]) ).
fof(f5916,plain,
( spl11_382
<=> ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_382])]) ).
fof(f1371,plain,
( ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) )
| ~ spl11_128
| ~ spl11_160 ),
inference(resolution,[],[f1337,f1082]) ).
fof(f5846,plain,
( spl11_381
| ~ spl11_125
| ~ spl11_197 ),
inference(avatar_split_clause,[],[f1722,f1691,f1068,f5844]) ).
fof(f5844,plain,
( spl11_381
<=> ! [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,[spl11_381])]) ).
fof(f1691,plain,
( spl11_197
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_197])]) ).
fof(f1722,plain,
( ! [X2,X3,X0,X1,X4] :
( ordered(cons(X4,cons(X0,snoc(X1,m_Ack(X2,X3)))))
| ~ ordered(cons(X4,cons(X0,X1))) )
| ~ spl11_125
| ~ spl11_197 ),
inference(superposition,[],[f1692,f1069]) ).
fof(f1692,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_197 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f5842,plain,
( spl11_380
| ~ spl11_125
| ~ spl11_196 ),
inference(avatar_split_clause,[],[f1714,f1687,f1068,f5840]) ).
fof(f5840,plain,
( spl11_380
<=> ! [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,[spl11_380])]) ).
fof(f1687,plain,
( spl11_196
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_196])]) ).
fof(f1714,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| ~ elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl11_125
| ~ spl11_196 ),
inference(superposition,[],[f1688,f1069]) ).
fof(f1688,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl11_196 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f5838,plain,
( spl11_379
| ~ spl11_109
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1701,f1683,f923,f5836]) ).
fof(f5836,plain,
( spl11_379
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_379])]) ).
fof(f1701,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) )
| ~ spl11_109
| ~ spl11_195 ),
inference(resolution,[],[f1684,f924]) ).
fof(f5509,plain,
( spl11_378
| ~ spl11_77
| ~ spl11_208 ),
inference(avatar_split_clause,[],[f1910,f1888,f728,f5507]) ).
fof(f5507,plain,
( spl11_378
<=> ! [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,[spl11_378])]) ).
fof(f1910,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,cons(X0,q_nil)))
| X0 = X1
| elem(X1,cons(X2,q_nil)) )
| ~ spl11_77
| ~ spl11_208 ),
inference(superposition,[],[f1889,f729]) ).
fof(f5505,plain,
( spl11_377
| ~ spl11_77
| ~ spl11_207 ),
inference(avatar_split_clause,[],[f1895,f1884,f728,f5503]) ).
fof(f5503,plain,
( spl11_377
<=> ! [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,[spl11_377])]) ).
fof(f1895,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(X0,q_nil)))
| ~ sP1(X0,cons(X1,q_nil))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl11_77
| ~ spl11_207 ),
inference(superposition,[],[f1885,f729]) ).
fof(f5493,plain,
( spl11_376
| ~ spl11_197
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1811,f1781,f1691,f5491]) ).
fof(f5491,plain,
( spl11_376
<=> ! [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,[spl11_376])]) ).
fof(f1811,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl11_197
| ~ spl11_202 ),
inference(superposition,[],[f1692,f1782]) ).
fof(f5489,plain,
( spl11_375
| ~ spl11_196
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1804,f1781,f1687,f5487]) ).
fof(f5487,plain,
( spl11_375
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_375])]) ).
fof(f1804,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl11_196
| ~ spl11_202 ),
inference(superposition,[],[f1688,f1782]) ).
fof(f5485,plain,
( spl11_374
| ~ spl11_168
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1707,f1683,f1408,f5483]) ).
fof(f5483,plain,
( spl11_374
<=> ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_374])]) ).
fof(f1408,plain,
( spl11_168
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_168])]) ).
fof(f1707,plain,
( ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) )
| ~ spl11_168
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1409]) ).
fof(f1409,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl11_168 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f5481,plain,
( spl11_373
| ~ spl11_110
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1700,f1683,f927,f5479]) ).
fof(f5479,plain,
( spl11_373
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_373])]) ).
fof(f1700,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl11_110
| ~ spl11_195 ),
inference(resolution,[],[f1684,f928]) ).
fof(f5477,plain,
( spl11_372
| ~ spl11_172
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1699,f1683,f1454,f5475]) ).
fof(f5475,plain,
( spl11_372
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_372])]) ).
fof(f1699,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl11_172
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1455]) ).
fof(f5473,plain,
( spl11_371
| ~ spl11_125
| ~ spl11_193 ),
inference(avatar_split_clause,[],[f1679,f1614,f1068,f5471]) ).
fof(f5471,plain,
( spl11_371
<=> ! [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,[spl11_371])]) ).
fof(f1614,plain,
( spl11_193
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_193])]) ).
fof(f1679,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X3,cons(X0,snoc(X1,m_Ldr(X2)))))
| ~ ordered(cons(X3,cons(X0,X1))) )
| ~ spl11_125
| ~ spl11_193 ),
inference(superposition,[],[f1615,f1069]) ).
fof(f1615,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_193 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f5469,plain,
( spl11_370
| ~ spl11_125
| ~ spl11_192 ),
inference(avatar_split_clause,[],[f1671,f1610,f1068,f5467]) ).
fof(f5467,plain,
( spl11_370
<=> ! [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,[spl11_370])]) ).
fof(f1610,plain,
( spl11_192
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_192])]) ).
fof(f1671,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| sP1(X2,cons(X3,cons(X0,X1))) )
| ~ spl11_125
| ~ spl11_192 ),
inference(superposition,[],[f1611,f1069]) ).
fof(f1611,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl11_192 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f5395,plain,
( spl11_369
| ~ spl11_156
| ~ spl11_332 ),
inference(avatar_split_clause,[],[f4995,f3952,f1320,f5392]) ).
fof(f5392,plain,
( spl11_369
<=> leq(zero,sK7(sK4,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_369])]) ).
fof(f4995,plain,
( leq(zero,sK7(sK4,sK6))
| ~ spl11_156
| ~ spl11_332 ),
inference(resolution,[],[f3954,f1321]) ).
fof(f4920,plain,
( spl11_368
| ~ spl11_80
| ~ spl11_207 ),
inference(avatar_split_clause,[],[f1893,f1884,f740,f4918]) ).
fof(f4918,plain,
( spl11_368
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_368])]) ).
fof(f1893,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) )
| ~ spl11_80
| ~ spl11_207 ),
inference(resolution,[],[f1885,f741]) ).
fof(f4916,plain,
( spl11_367
| ~ spl11_106
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1818,f1781,f893,f4914]) ).
fof(f4914,plain,
( spl11_367
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_367])]) ).
fof(f893,plain,
( spl11_106
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_106])]) ).
fof(f1818,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_106
| ~ spl11_202 ),
inference(superposition,[],[f894,f1782]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl11_106 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f4912,plain,
( spl11_366
| ~ spl11_80
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1817,f1781,f740,f4910]) ).
fof(f4910,plain,
( spl11_366
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_366])]) ).
fof(f1817,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_80
| ~ spl11_202 ),
inference(superposition,[],[f741,f1782]) ).
fof(f4908,plain,
( spl11_365
| ~ spl11_193
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1810,f1781,f1614,f4906]) ).
fof(f4906,plain,
( spl11_365
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_365])]) ).
fof(f1810,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl11_193
| ~ spl11_202 ),
inference(superposition,[],[f1615,f1782]) ).
fof(f4904,plain,
( spl11_364
| ~ spl11_192
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1805,f1781,f1610,f4902]) ).
fof(f4902,plain,
( spl11_364
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_364])]) ).
fof(f1805,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl11_192
| ~ spl11_202 ),
inference(superposition,[],[f1611,f1782]) ).
fof(f4900,plain,
( spl11_363
| ~ spl11_114
| ~ spl11_196 ),
inference(avatar_split_clause,[],[f1713,f1687,f983,f4898]) ).
fof(f4898,plain,
( spl11_363
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_363])]) ).
fof(f1713,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_196 ),
inference(superposition,[],[f1688,f984]) ).
fof(f4896,plain,
( spl11_362
| ~ spl11_158
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1708,f1683,f1328,f4894]) ).
fof(f4894,plain,
( spl11_362
<=> ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_362])]) ).
fof(f1328,plain,
( spl11_158
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_158])]) ).
fof(f1708,plain,
( ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) )
| ~ spl11_158
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1329]) ).
fof(f1329,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl11_158 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f4886,plain,
( spl11_361
| ~ spl11_159
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1703,f1683,f1332,f4884]) ).
fof(f4884,plain,
( spl11_361
<=> ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_361])]) ).
fof(f1332,plain,
( spl11_159
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_159])]) ).
fof(f1703,plain,
( ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) )
| ~ spl11_159
| ~ spl11_195 ),
inference(resolution,[],[f1684,f1333]) ).
fof(f1333,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl11_159 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f4882,plain,
( spl11_360
| ~ spl11_114
| ~ spl11_192 ),
inference(avatar_split_clause,[],[f1670,f1610,f983,f4880]) ).
fof(f4880,plain,
( spl11_360
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_360])]) ).
fof(f1670,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_192 ),
inference(superposition,[],[f1611,f984]) ).
fof(f4878,plain,
( spl11_359
| ~ spl11_107
| ~ spl11_192 ),
inference(avatar_split_clause,[],[f1668,f1610,f915,f4876]) ).
fof(f4876,plain,
( spl11_359
<=> ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_359])]) ).
fof(f1668,plain,
( ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) )
| ~ spl11_107
| ~ spl11_192 ),
inference(resolution,[],[f1611,f916]) ).
fof(f4874,plain,
( spl11_358
| ~ spl11_168
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1657,f1606,f1408,f4872]) ).
fof(f4872,plain,
( spl11_358
<=> ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_358])]) ).
fof(f1657,plain,
( ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) )
| ~ spl11_168
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1409]) ).
fof(f4870,plain,
( spl11_357
| ~ spl11_110
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1650,f1606,f927,f4868]) ).
fof(f4868,plain,
( spl11_357
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_357])]) ).
fof(f1650,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl11_110
| ~ spl11_191 ),
inference(resolution,[],[f1607,f928]) ).
fof(f4866,plain,
( spl11_356
| ~ spl11_172
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1649,f1606,f1454,f4864]) ).
fof(f4864,plain,
( spl11_356
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_356])]) ).
fof(f1649,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl11_172
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1455]) ).
fof(f4862,plain,
( spl11_355
| ~ spl11_125
| ~ spl11_182 ),
inference(avatar_split_clause,[],[f1574,f1505,f1068,f4860]) ).
fof(f4860,plain,
( spl11_355
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_355])]) ).
fof(f1505,plain,
( spl11_182
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_182])]) ).
fof(f1574,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) )
| ~ spl11_125
| ~ spl11_182 ),
inference(superposition,[],[f1506,f1069]) ).
fof(f1506,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl11_182 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f4858,plain,
( spl11_354
| ~ spl11_125
| ~ spl11_181 ),
inference(avatar_split_clause,[],[f1562,f1501,f1068,f4856]) ).
fof(f4856,plain,
( spl11_354
<=> ! [X0,X3,X2,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_354])]) ).
fof(f1501,plain,
( spl11_181
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_181])]) ).
fof(f1562,plain,
( ! [X2,X3,X0,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl11_125
| ~ spl11_181 ),
inference(superposition,[],[f1502,f1069]) ).
fof(f1502,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl11_181 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f4854,plain,
( spl11_353
| ~ spl11_174
| ~ spl11_180 ),
inference(avatar_split_clause,[],[f1554,f1497,f1473,f4852]) ).
fof(f4852,plain,
( spl11_353
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK10(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_353])]) ).
fof(f1497,plain,
( spl11_180
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_180])]) ).
fof(f1554,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK10(X0,X1)))) )
| ~ spl11_174
| ~ spl11_180 ),
inference(resolution,[],[f1498,f1474]) ).
fof(f1498,plain,
( ! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK10(X0,X1)))
| sP1(X0,X1) )
| ~ spl11_180 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f4423,plain,
( spl11_352
| ~ spl11_64
| spl11_338 ),
inference(avatar_split_clause,[],[f4266,f4218,f647,f4420]) ).
fof(f4420,plain,
( spl11_352
<=> leq(nbr_proc,sK7(sK4,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_352])]) ).
fof(f4218,plain,
( spl11_338
<=> leq(sK7(sK4,sK6),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_338])]) ).
fof(f4266,plain,
( leq(nbr_proc,sK7(sK4,sK6))
| ~ spl11_64
| spl11_338 ),
inference(resolution,[],[f4219,f648]) ).
fof(f4219,plain,
( ~ leq(sK7(sK4,sK6),nbr_proc)
| spl11_338 ),
inference(avatar_component_clause,[],[f4218]) ).
fof(f4279,plain,
( spl11_351
| ~ spl11_106
| ~ spl11_208 ),
inference(avatar_split_clause,[],[f1905,f1888,f893,f4277]) ).
fof(f1905,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) )
| ~ spl11_106
| ~ spl11_208 ),
inference(resolution,[],[f1889,f894]) ).
fof(f4275,plain,
( spl11_350
| ~ spl11_65
| ~ spl11_207 ),
inference(avatar_split_clause,[],[f1894,f1884,f651,f4273]) ).
fof(f4273,plain,
( spl11_350
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_350])]) ).
fof(f1894,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) )
| ~ spl11_65
| ~ spl11_207 ),
inference(resolution,[],[f1885,f652]) ).
fof(f4271,plain,
( spl11_349
| ~ spl11_182
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1806,f1781,f1505,f4269]) ).
fof(f4269,plain,
( spl11_349
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_349])]) ).
fof(f1806,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl11_182
| ~ spl11_202 ),
inference(superposition,[],[f1506,f1782]) ).
fof(f4261,plain,
( spl11_348
| ~ spl11_128
| ~ spl11_196 ),
inference(avatar_split_clause,[],[f1711,f1687,f1081,f4259]) ).
fof(f4259,plain,
( spl11_348
<=> ! [X0,X3,X2,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_348])]) ).
fof(f1711,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) )
| ~ spl11_128
| ~ spl11_196 ),
inference(resolution,[],[f1688,f1082]) ).
fof(f4257,plain,
( spl11_347
| ~ spl11_101
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1704,f1683,f873,f4255]) ).
fof(f4255,plain,
( spl11_347
<=> ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_347])]) ).
fof(f1704,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) )
| ~ spl11_101
| ~ spl11_195 ),
inference(resolution,[],[f1684,f874]) ).
fof(f4253,plain,
( spl11_346
| ~ spl11_124
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1661,f1606,f1064,f4251]) ).
fof(f4251,plain,
( spl11_346
<=> ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_346])]) ).
fof(f1661,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl11_124
| ~ spl11_191 ),
inference(duplicate_literal_removal,[],[f1656]) ).
fof(f1656,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl11_124
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1065]) ).
fof(f4249,plain,
( spl11_345
| ~ spl11_158
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1658,f1606,f1328,f4247]) ).
fof(f4247,plain,
( spl11_345
<=> ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_345])]) ).
fof(f1658,plain,
( ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) )
| ~ spl11_158
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1329]) ).
fof(f4245,plain,
( spl11_344
| ~ spl11_159
| ~ spl11_191 ),
inference(avatar_split_clause,[],[f1653,f1606,f1332,f4243]) ).
fof(f4243,plain,
( spl11_344
<=> ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_344])]) ).
fof(f1653,plain,
( ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) )
| ~ spl11_159
| ~ spl11_191 ),
inference(resolution,[],[f1607,f1333]) ).
fof(f4241,plain,
( spl11_343
| ~ spl11_83
| ~ spl11_189 ),
inference(avatar_split_clause,[],[f1643,f1598,f752,f4239]) ).
fof(f4239,plain,
( spl11_343
<=> ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK10(m_Down(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_343])]) ).
fof(f752,plain,
( spl11_83
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_83])]) ).
fof(f1643,plain,
( ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK10(m_Down(s(X0)),X1)),X0) )
| ~ spl11_83
| ~ spl11_189 ),
inference(resolution,[],[f1599,f753]) ).
fof(f753,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl11_83 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f4237,plain,
( spl11_342
| ~ spl11_83
| ~ spl11_188 ),
inference(avatar_split_clause,[],[f1640,f1594,f752,f4235]) ).
fof(f4235,plain,
( spl11_342
<=> ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK10(m_Halt(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_342])]) ).
fof(f1594,plain,
( spl11_188
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_188])]) ).
fof(f1640,plain,
( ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK10(m_Halt(s(X0)),X1)),X0) )
| ~ spl11_83
| ~ spl11_188 ),
inference(resolution,[],[f1595,f753]) ).
fof(f1595,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl11_188 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f4233,plain,
( spl11_341
| ~ spl11_83
| ~ spl11_184 ),
inference(avatar_split_clause,[],[f1624,f1578,f752,f4231]) ).
fof(f4231,plain,
( spl11_341
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_341])]) ).
fof(f1578,plain,
( spl11_184
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_184])]) ).
fof(f1624,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) )
| ~ spl11_83
| ~ spl11_184 ),
inference(resolution,[],[f1579,f753]) ).
fof(f1579,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) )
| ~ spl11_184 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f4229,plain,
( spl11_340
| ~ spl11_107
| ~ spl11_182 ),
inference(avatar_split_clause,[],[f1571,f1505,f915,f4227]) ).
fof(f4227,plain,
( spl11_340
<=> ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_340])]) ).
fof(f1571,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) )
| ~ spl11_107
| ~ spl11_182 ),
inference(resolution,[],[f1506,f916]) ).
fof(f4225,plain,
( spl11_339
| ~ spl11_110
| ~ spl11_180 ),
inference(avatar_split_clause,[],[f1556,f1497,f927,f4223]) ).
fof(f4223,plain,
( spl11_339
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK10(X0,X1)))
| ~ leq(X2,pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_339])]) ).
fof(f1556,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK10(X0,X1)))
| ~ leq(X2,pidMsg(X0)) )
| ~ spl11_110
| ~ spl11_180 ),
inference(resolution,[],[f1498,f928]) ).
fof(f4221,plain,
( spl11_338
| ~ spl11_256
| spl11_332 ),
inference(avatar_split_clause,[],[f4162,f3952,f2411,f4218]) ).
fof(f2411,plain,
( spl11_256
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_256])]) ).
fof(f4162,plain,
( leq(sK7(sK4,sK6),nbr_proc)
| ~ spl11_256
| spl11_332 ),
inference(resolution,[],[f3953,f2412]) ).
fof(f2412,plain,
( ! [X0] :
( leq(s(zero),X0)
| leq(X0,nbr_proc) )
| ~ spl11_256 ),
inference(avatar_component_clause,[],[f2411]) ).
fof(f3953,plain,
( ~ leq(s(zero),sK7(sK4,sK6))
| spl11_332 ),
inference(avatar_component_clause,[],[f3952]) ).
fof(f4216,plain,
( spl11_337
| ~ spl11_172
| ~ spl11_180 ),
inference(avatar_split_clause,[],[f1555,f1497,f1454,f4214]) ).
fof(f4214,plain,
( spl11_337
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK10(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_337])]) ).
fof(f1555,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK10(X0,X1))) )
| ~ spl11_172
| ~ spl11_180 ),
inference(resolution,[],[f1498,f1455]) ).
fof(f4212,plain,
( spl11_336
| ~ spl11_103
| ~ spl11_179 ),
inference(avatar_split_clause,[],[f1551,f1493,f881,f4210]) ).
fof(f4210,plain,
( spl11_336
<=> ! [X0,X1] :
( elem(sK10(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_336])]) ).
fof(f1551,plain,
( ! [X0,X1] :
( elem(sK10(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) )
| ~ spl11_103
| ~ spl11_179 ),
inference(resolution,[],[f1494,f882]) ).
fof(f4208,plain,
( spl11_335
| ~ spl11_102
| ~ spl11_179 ),
inference(avatar_split_clause,[],[f1550,f1493,f877,f4206]) ).
fof(f4206,plain,
( spl11_335
<=> ! [X0,X1] :
( elem(sK9(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_335])]) ).
fof(f1550,plain,
( ! [X0,X1] :
( elem(sK9(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) )
| ~ spl11_102
| ~ spl11_179 ),
inference(resolution,[],[f1494,f878]) ).
fof(f4204,plain,
( spl11_334
| ~ spl11_103
| ~ spl11_176 ),
inference(avatar_split_clause,[],[f1535,f1481,f881,f4202]) ).
fof(f4202,plain,
( spl11_334
<=> ! [X0,X1] :
( elem(sK10(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_334])]) ).
fof(f1535,plain,
( ! [X0,X1] :
( elem(sK10(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) )
| ~ spl11_103
| ~ spl11_176 ),
inference(resolution,[],[f1482,f882]) ).
fof(f4200,plain,
( spl11_333
| ~ spl11_102
| ~ spl11_176 ),
inference(avatar_split_clause,[],[f1534,f1481,f877,f4198]) ).
fof(f4198,plain,
( spl11_333
<=> ! [X0,X1] :
( elem(sK9(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_333])]) ).
fof(f1534,plain,
( ! [X0,X1] :
( elem(sK9(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) )
| ~ spl11_102
| ~ spl11_176 ),
inference(resolution,[],[f1482,f878]) ).
fof(f3955,plain,
( spl11_332
| ~ spl11_75
| ~ spl11_320 ),
inference(avatar_split_clause,[],[f3806,f3740,f709,f3952]) ).
fof(f3806,plain,
( leq(s(zero),sK7(sK4,sK6))
| ~ spl11_75
| ~ spl11_320 ),
inference(resolution,[],[f3741,f711]) ).
fof(f3857,plain,
( spl11_331
| ~ spl11_23
| ~ spl11_77
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1978,f1923,f728,f456,f3855]) ).
fof(f3855,plain,
( spl11_331
<=> ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK10(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_331])]) ).
fof(f1978,plain,
( ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK10(X0,cons(X1,q_nil)) = X1 )
| ~ spl11_23
| ~ spl11_77
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1977,f729]) ).
fof(f1977,plain,
( ! [X0,X1] :
( sK10(X0,cons(X1,q_nil)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl11_23
| ~ spl11_77
| ~ spl11_210 ),
inference(forward_demodulation,[],[f1965,f729]) ).
fof(f1965,plain,
( ! [X0,X1] :
( sK10(X0,snoc(q_nil,X1)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl11_23
| ~ spl11_210 ),
inference(resolution,[],[f1924,f457]) ).
fof(f3853,plain,
( spl11_330
| ~ spl11_23
| ~ spl11_77
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1958,f1919,f728,f456,f3851]) ).
fof(f3851,plain,
( spl11_330
<=> ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK9(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_330])]) ).
fof(f1958,plain,
( ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK9(X0,cons(X1,q_nil)) = X1 )
| ~ spl11_23
| ~ spl11_77
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1957,f729]) ).
fof(f1957,plain,
( ! [X0,X1] :
( sK9(X0,cons(X1,q_nil)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl11_23
| ~ spl11_77
| ~ spl11_209 ),
inference(forward_demodulation,[],[f1945,f729]) ).
fof(f1945,plain,
( ! [X0,X1] :
( sK9(X0,snoc(q_nil,X1)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl11_23
| ~ spl11_209 ),
inference(resolution,[],[f1920,f457]) ).
fof(f3849,plain,
( spl11_329
| ~ spl11_40
| ~ spl11_206 ),
inference(avatar_split_clause,[],[f1882,f1797,f544,f3847]) ).
fof(f3847,plain,
( spl11_329
<=> ! [X0] :
( sK8(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_329])]) ).
fof(f1882,plain,
( ! [X0] :
( sK8(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_40
| ~ spl11_206 ),
inference(forward_demodulation,[],[f1870,f545]) ).
fof(f1870,plain,
( ! [X0] :
( pidMsg(m_Down(X0)) = sK8(m_Down(X0))
| m_Down(X0) = m_Halt(sK8(m_Down(X0))) )
| ~ spl11_40
| ~ spl11_206 ),
inference(superposition,[],[f545,f1798]) ).
fof(f3813,plain,
( spl11_235
| spl11_328
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_154 ),
inference(avatar_split_clause,[],[f1307,f1298,f623,f391,f365,f3811,f2198]) ).
fof(f3811,plain,
( spl11_328
<=> ! [X0] :
( host(X0) != sK7(X0,sK6)
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_328])]) ).
fof(f1307,plain,
( ! [X0] :
( host(X0) != sK7(X0,sK6)
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_154 ),
inference(forward_demodulation,[],[f1306,f625]) ).
fof(f1306,plain,
( ! [X0] :
( host(X0) != sK7(X0,sK3)
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_154 ),
inference(trivial_inequality_removal,[],[f1305]) ).
fof(f1305,plain,
( ! [X0] :
( elec_1 != elec_1
| host(X0) != sK7(X0,sK3)
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_154 ),
inference(forward_demodulation,[],[f1301,f393]) ).
fof(f1301,plain,
( ! [X0] :
( elec_1 != index(status,host(sK6))
| host(X0) != sK7(X0,sK3)
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_154 ),
inference(superposition,[],[f1299,f367]) ).
fof(f3796,plain,
( spl11_327
| ~ spl11_110
| ~ spl11_235 ),
inference(avatar_split_clause,[],[f2312,f2198,f927,f3794]) ).
fof(f2312,plain,
( ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,host(sK6)) )
| ~ spl11_110
| ~ spl11_235 ),
inference(resolution,[],[f2199,f928]) ).
fof(f2199,plain,
( leq(host(sK6),host(sK5))
| ~ spl11_235 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f3792,plain,
( spl11_326
| ~ spl11_39
| ~ spl11_40
| ~ spl11_205 ),
inference(avatar_split_clause,[],[f1866,f1793,f544,f540,f3790]) ).
fof(f3790,plain,
( spl11_326
<=> ! [X0] :
( sK8(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_326])]) ).
fof(f1793,plain,
( spl11_205
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK8(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK8(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_205])]) ).
fof(f1866,plain,
( ! [X0] :
( sK8(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) )
| ~ spl11_39
| ~ spl11_40
| ~ spl11_205 ),
inference(forward_demodulation,[],[f1856,f541]) ).
fof(f1856,plain,
( ! [X0] :
( pidMsg(m_Halt(X0)) = sK8(m_Halt(X0))
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) )
| ~ spl11_40
| ~ spl11_205 ),
inference(superposition,[],[f545,f1794]) ).
fof(f1794,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK8(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) )
| ~ spl11_205 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f3788,plain,
( spl11_325
| ~ spl11_48
| ~ spl11_205 ),
inference(avatar_split_clause,[],[f1857,f1793,f576,f3786]) ).
fof(f3786,plain,
( spl11_325
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_325])]) ).
fof(f1857,plain,
( ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK8(m_Halt(X0))) )
| ~ spl11_48
| ~ spl11_205 ),
inference(superposition,[],[f577,f1794]) ).
fof(f3784,plain,
( spl11_324
| ~ spl11_65
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1816,f1781,f651,f3782]) ).
fof(f3782,plain,
( spl11_324
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_324])]) ).
fof(f1816,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_65
| ~ spl11_202 ),
inference(superposition,[],[f652,f1782]) ).
fof(f3780,plain,
( spl11_323
| ~ spl11_61
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1815,f1781,f635,f3778]) ).
fof(f3778,plain,
( spl11_323
<=> ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_323])]) ).
fof(f635,plain,
( spl11_61
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_61])]) ).
fof(f1815,plain,
( ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 )
| ~ spl11_61
| ~ spl11_202 ),
inference(superposition,[],[f636,f1782]) ).
fof(f636,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl11_61 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f3776,plain,
( spl11_322
| ~ spl11_77
| ~ spl11_197 ),
inference(avatar_split_clause,[],[f1721,f1691,f728,f3774]) ).
fof(f3774,plain,
( spl11_322
<=> ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_322])]) ).
fof(f1721,plain,
( ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) )
| ~ spl11_77
| ~ spl11_197 ),
inference(superposition,[],[f1692,f729]) ).
fof(f3772,plain,
( spl11_321
| ~ spl11_77
| ~ spl11_196 ),
inference(avatar_split_clause,[],[f1712,f1687,f728,f3770]) ).
fof(f3770,plain,
( spl11_321
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_321])]) ).
fof(f1712,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) )
| ~ spl11_77
| ~ spl11_196 ),
inference(superposition,[],[f1688,f729]) ).
fof(f3742,plain,
( spl11_235
| spl11_320
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_153 ),
inference(avatar_split_clause,[],[f1296,f1287,f623,f391,f365,f3740,f2198]) ).
fof(f1296,plain,
( ! [X0] :
( leq(s(zero),sK7(X0,sK6))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_153 ),
inference(forward_demodulation,[],[f1295,f625]) ).
fof(f1295,plain,
( ! [X0] :
( leq(s(zero),sK7(X0,sK3))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_153 ),
inference(trivial_inequality_removal,[],[f1294]) ).
fof(f1294,plain,
( ! [X0] :
( elec_1 != elec_1
| leq(s(zero),sK7(X0,sK3))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_153 ),
inference(forward_demodulation,[],[f1290,f393]) ).
fof(f1290,plain,
( ! [X0] :
( elec_1 != index(status,host(sK6))
| leq(s(zero),sK7(X0,sK3))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_153 ),
inference(superposition,[],[f1288,f367]) ).
fof(f3722,plain,
( spl11_319
| ~ spl11_172
| ~ spl11_235 ),
inference(avatar_split_clause,[],[f2311,f2198,f1454,f3720]) ).
fof(f3720,plain,
( spl11_319
<=> ! [X0] :
( leq(host(sK6),X0)
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_319])]) ).
fof(f2311,plain,
( ! [X0] :
( leq(host(sK6),X0)
| leq(X0,host(sK5)) )
| ~ spl11_172
| ~ spl11_235 ),
inference(resolution,[],[f2199,f1455]) ).
fof(f3718,plain,
( spl11_318
| ~ spl11_100
| ~ spl11_184 ),
inference(avatar_split_clause,[],[f1620,f1578,f869,f3716]) ).
fof(f3716,plain,
( spl11_318
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_318])]) ).
fof(f869,plain,
( spl11_100
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_100])]) ).
fof(f1620,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) )
| ~ spl11_100
| ~ spl11_184 ),
inference(resolution,[],[f1579,f870]) ).
fof(f870,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl11_100 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f3714,plain,
( spl11_317
| ~ spl11_114
| ~ spl11_182 ),
inference(avatar_split_clause,[],[f1573,f1505,f983,f3712]) ).
fof(f3712,plain,
( spl11_317
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_317])]) ).
fof(f1573,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_182 ),
inference(superposition,[],[f1506,f984]) ).
fof(f3710,plain,
( spl11_316
| ~ spl11_114
| ~ spl11_181 ),
inference(avatar_split_clause,[],[f1561,f1501,f983,f3708]) ).
fof(f3708,plain,
( spl11_316
<=> ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_316])]) ).
fof(f1561,plain,
( ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_181 ),
inference(superposition,[],[f1502,f984]) ).
fof(f3706,plain,
( spl11_315
| ~ spl11_160
| ~ spl11_179 ),
inference(avatar_split_clause,[],[f1549,f1493,f1336,f3704]) ).
fof(f3704,plain,
( spl11_315
<=> ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_315])]) ).
fof(f1549,plain,
( ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl11_160
| ~ spl11_179 ),
inference(resolution,[],[f1494,f1337]) ).
fof(f3702,plain,
( spl11_314
| ~ spl11_162
| ~ spl11_179 ),
inference(avatar_split_clause,[],[f1548,f1493,f1344,f3700]) ).
fof(f3700,plain,
( spl11_314
<=> ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_314])]) ).
fof(f1548,plain,
( ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl11_162
| ~ spl11_179 ),
inference(resolution,[],[f1494,f1345]) ).
fof(f3698,plain,
( spl11_313
| ~ spl11_160
| ~ spl11_176 ),
inference(avatar_split_clause,[],[f1533,f1481,f1336,f3696]) ).
fof(f3696,plain,
( spl11_313
<=> ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_313])]) ).
fof(f1533,plain,
( ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl11_160
| ~ spl11_176 ),
inference(resolution,[],[f1482,f1337]) ).
fof(f3694,plain,
( spl11_312
| ~ spl11_162
| ~ spl11_176 ),
inference(avatar_split_clause,[],[f1532,f1481,f1344,f3692]) ).
fof(f3692,plain,
( spl11_312
<=> ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_312])]) ).
fof(f1532,plain,
( ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl11_162
| ~ spl11_176 ),
inference(resolution,[],[f1482,f1345]) ).
fof(f3690,plain,
( spl11_311
| ~ spl11_100
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1520,f1473,f869,f3688]) ).
fof(f1520,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl11_100
| ~ spl11_174 ),
inference(resolution,[],[f1474,f870]) ).
fof(f3686,plain,
( spl11_310
| ~ spl11_164
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1519,f1473,f1388,f3684]) ).
fof(f1388,plain,
( spl11_164
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_164])]) ).
fof(f1519,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) )
| ~ spl11_164
| ~ spl11_174 ),
inference(resolution,[],[f1474,f1389]) ).
fof(f1389,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl11_164 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f3682,plain,
( spl11_309
| ~ spl11_124
| ~ spl11_164 ),
inference(avatar_split_clause,[],[f1424,f1388,f1064,f3680]) ).
fof(f3680,plain,
( spl11_309
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_309])]) ).
fof(f1424,plain,
( ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl11_124
| ~ spl11_164 ),
inference(resolution,[],[f1389,f1065]) ).
fof(f3678,plain,
( spl11_308
| ~ spl11_110
| ~ spl11_231 ),
inference(avatar_split_clause,[],[f2187,f2176,f927,f3676]) ).
fof(f3676,plain,
( spl11_308
<=> ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_308])]) ).
fof(f2187,plain,
( ! [X0] :
( leq(X0,host(sK6))
| ~ leq(X0,host(sK5)) )
| ~ spl11_110
| ~ spl11_231 ),
inference(resolution,[],[f2178,f928]) ).
fof(f3496,plain,
( ~ spl11_25
| spl11_303 ),
inference(avatar_contradiction_clause,[],[f3489]) ).
fof(f3489,plain,
( $false
| ~ spl11_25
| spl11_303 ),
inference(resolution,[],[f3222,f465]) ).
fof(f3222,plain,
( ~ leq(host(sK5),host(sK5))
| spl11_303 ),
inference(avatar_component_clause,[],[f3220]) ).
fof(f3220,plain,
( spl11_303
<=> leq(host(sK5),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_303])]) ).
fof(f3239,plain,
( spl11_307
| ~ spl11_55
| ~ spl11_201 ),
inference(avatar_split_clause,[],[f1769,f1738,f606,f3237]) ).
fof(f3237,plain,
( spl11_307
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_307])]) ).
fof(f606,plain,
( spl11_55
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_55])]) ).
fof(f1769,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) )
| ~ spl11_55
| ~ spl11_201 ),
inference(resolution,[],[f1739,f607]) ).
fof(f607,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl11_55 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f3235,plain,
( spl11_306
| ~ spl11_56
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f1753,f1730,f610,f3233]) ).
fof(f3233,plain,
( spl11_306
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_306])]) ).
fof(f610,plain,
( spl11_56
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_56])]) ).
fof(f1753,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) )
| ~ spl11_56
| ~ spl11_199 ),
inference(resolution,[],[f1731,f611]) ).
fof(f611,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) )
| ~ spl11_56 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f3231,plain,
( spl11_305
| ~ spl11_100
| ~ spl11_198 ),
inference(avatar_split_clause,[],[f1742,f1726,f869,f3229]) ).
fof(f3229,plain,
( spl11_305
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_305])]) ).
fof(f1742,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
| ~ spl11_100
| ~ spl11_198 ),
inference(resolution,[],[f1727,f870]) ).
fof(f3227,plain,
( spl11_304
| ~ spl11_80
| ~ spl11_197 ),
inference(avatar_split_clause,[],[f1719,f1691,f740,f3225]) ).
fof(f3225,plain,
( spl11_304
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_304])]) ).
fof(f1719,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) )
| ~ spl11_80
| ~ spl11_197 ),
inference(resolution,[],[f1692,f741]) ).
fof(f3223,plain,
( ~ spl11_303
| spl11_11
| ~ spl11_232 ),
inference(avatar_split_clause,[],[f3146,f2180,f396,f3220]) ).
fof(f3146,plain,
( ~ leq(host(sK5),host(sK5))
| spl11_11
| ~ spl11_232 ),
inference(superposition,[],[f398,f2182]) ).
fof(f2182,plain,
( host(sK5) = s(host(sK6))
| ~ spl11_232 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f3218,plain,
( spl11_302
| ~ spl11_77
| ~ spl11_193 ),
inference(avatar_split_clause,[],[f1678,f1614,f728,f3216]) ).
fof(f3216,plain,
( spl11_302
<=> ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_302])]) ).
fof(f1678,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl11_77
| ~ spl11_193 ),
inference(superposition,[],[f1615,f729]) ).
fof(f3214,plain,
( spl11_301
| ~ spl11_77
| ~ spl11_192 ),
inference(avatar_split_clause,[],[f1669,f1610,f728,f3212]) ).
fof(f3212,plain,
( spl11_301
<=> ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_301])]) ).
fof(f1669,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) )
| ~ spl11_77
| ~ spl11_192 ),
inference(superposition,[],[f1611,f729]) ).
fof(f3210,plain,
( spl11_300
| ~ spl11_100
| ~ spl11_185 ),
inference(avatar_split_clause,[],[f1633,f1582,f869,f3208]) ).
fof(f1633,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) )
| ~ spl11_100
| ~ spl11_185 ),
inference(resolution,[],[f1583,f870]) ).
fof(f3206,plain,
( spl11_299
| ~ spl11_164
| ~ spl11_185 ),
inference(avatar_split_clause,[],[f1632,f1582,f1388,f3204]) ).
fof(f1632,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) )
| ~ spl11_164
| ~ spl11_185 ),
inference(resolution,[],[f1583,f1389]) ).
fof(f3202,plain,
( spl11_298
| ~ spl11_40
| ~ spl11_180 ),
inference(avatar_split_clause,[],[f1559,f1497,f544,f3200]) ).
fof(f3200,plain,
( spl11_298
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK10(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_298])]) ).
fof(f1559,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK10(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) )
| ~ spl11_40
| ~ spl11_180 ),
inference(superposition,[],[f1498,f545]) ).
fof(f3198,plain,
( spl11_297
| ~ spl11_39
| ~ spl11_180 ),
inference(avatar_split_clause,[],[f1558,f1497,f540,f3196]) ).
fof(f3196,plain,
( spl11_297
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK10(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_297])]) ).
fof(f1558,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK10(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) )
| ~ spl11_39
| ~ spl11_180 ),
inference(superposition,[],[f1498,f541]) ).
fof(f3194,plain,
( spl11_296
| ~ spl11_83
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1515,f1473,f752,f3192]) ).
fof(f1515,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl11_83
| ~ spl11_174 ),
inference(resolution,[],[f1474,f753]) ).
fof(f3190,plain,
( spl11_295
| ~ spl11_100
| ~ spl11_172 ),
inference(avatar_split_clause,[],[f1465,f1454,f869,f3188]) ).
fof(f1465,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl11_100
| ~ spl11_172 ),
inference(resolution,[],[f1455,f870]) ).
fof(f3137,plain,
( spl11_294
| ~ spl11_172
| ~ spl11_231 ),
inference(avatar_split_clause,[],[f2186,f2176,f1454,f3135]) ).
fof(f3135,plain,
( spl11_294
<=> ! [X0] :
( leq(host(sK5),X0)
| leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_294])]) ).
fof(f2186,plain,
( ! [X0] :
( leq(host(sK5),X0)
| leq(X0,host(sK6)) )
| ~ spl11_172
| ~ spl11_231 ),
inference(resolution,[],[f2178,f1455]) ).
fof(f3133,plain,
( spl11_293
| ~ spl11_164
| ~ spl11_172 ),
inference(avatar_split_clause,[],[f1464,f1454,f1388,f3131]) ).
fof(f3131,plain,
( spl11_293
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_293])]) ).
fof(f1464,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl11_164
| ~ spl11_172 ),
inference(resolution,[],[f1455,f1389]) ).
fof(f3129,plain,
( spl11_292
| ~ spl11_110
| ~ spl11_164 ),
inference(avatar_split_clause,[],[f1429,f1388,f927,f3127]) ).
fof(f1429,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) )
| ~ spl11_110
| ~ spl11_164 ),
inference(resolution,[],[f1389,f928]) ).
fof(f2973,plain,
( spl11_291
| ~ spl11_60
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1814,f1781,f631,f2971]) ).
fof(f1814,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl11_60
| ~ spl11_202 ),
inference(superposition,[],[f632,f1782]) ).
fof(f2969,plain,
( spl11_290
| ~ spl11_65
| ~ spl11_197 ),
inference(avatar_split_clause,[],[f1720,f1691,f651,f2967]) ).
fof(f1720,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl11_65
| ~ spl11_197 ),
inference(resolution,[],[f1692,f652]) ).
fof(f2965,plain,
( spl11_289
| ~ spl11_80
| ~ spl11_193 ),
inference(avatar_split_clause,[],[f1676,f1614,f740,f2963]) ).
fof(f2963,plain,
( spl11_289
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_289])]) ).
fof(f1676,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) )
| ~ spl11_80
| ~ spl11_193 ),
inference(resolution,[],[f1615,f741]) ).
fof(f2961,plain,
( spl11_288
| ~ spl11_77
| ~ spl11_181 ),
inference(avatar_split_clause,[],[f1560,f1501,f728,f2959]) ).
fof(f2959,plain,
( spl11_288
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_288])]) ).
fof(f1560,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl11_77
| ~ spl11_181 ),
inference(superposition,[],[f1502,f729]) ).
fof(f2957,plain,
( spl11_287
| ~ spl11_64
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1513,f1473,f647,f2955]) ).
fof(f1513,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl11_64
| ~ spl11_174 ),
inference(resolution,[],[f1474,f648]) ).
fof(f2953,plain,
( spl11_286
| ~ spl11_83
| ~ spl11_172 ),
inference(avatar_split_clause,[],[f1460,f1454,f752,f2951]) ).
fof(f1460,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl11_83
| ~ spl11_172 ),
inference(resolution,[],[f1455,f753]) ).
fof(f2949,plain,
( spl11_285
| ~ spl11_125
| ~ spl11_171 ),
inference(avatar_split_clause,[],[f1448,f1420,f1068,f2947]) ).
fof(f2947,plain,
( spl11_285
<=> ! [X2,X0,X1,X3] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_285])]) ).
fof(f1420,plain,
( spl11_171
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_171])]) ).
fof(f1448,plain,
( ! [X2,X3,X0,X1] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2
| ~ spl11_125
| ~ spl11_171 ),
inference(superposition,[],[f1421,f1069]) ).
fof(f1421,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl11_171 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f2945,plain,
( spl11_284
| ~ spl11_114
| ~ spl11_171 ),
inference(avatar_split_clause,[],[f1447,f1420,f983,f2943]) ).
fof(f1447,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_171 ),
inference(superposition,[],[f1421,f984]) ).
fof(f2920,plain,
( ~ spl11_283
| ~ spl11_2
| ~ spl11_135
| ~ spl11_229 ),
inference(avatar_split_clause,[],[f2157,f2135,f1166,f350,f2917]) ).
fof(f2917,plain,
( spl11_283
<=> elem(m_Ack(sK6,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_283])]) ).
fof(f2135,plain,
( spl11_229
<=> ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK5),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_229])]) ).
fof(f2157,plain,
( ~ setIn(sK6,alive)
| ~ elem(m_Ack(sK6,sK5),sK2)
| ~ spl11_135
| ~ spl11_229 ),
inference(resolution,[],[f2136,f1167]) ).
fof(f2136,plain,
( ! [X0] :
( ~ elem(m_Ack(X0,sK5),queue(host(X0)))
| ~ setIn(X0,alive) )
| ~ spl11_229 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f2765,plain,
( spl11_282
| ~ spl11_58
| ~ spl11_202 ),
inference(avatar_split_clause,[],[f1813,f1781,f618,f2763]) ).
fof(f1813,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl11_58
| ~ spl11_202 ),
inference(superposition,[],[f619,f1782]) ).
fof(f2761,plain,
( spl11_281
| ~ spl11_65
| ~ spl11_193 ),
inference(avatar_split_clause,[],[f1677,f1614,f651,f2759]) ).
fof(f1677,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl11_65
| ~ spl11_193 ),
inference(resolution,[],[f1615,f652]) ).
fof(f2757,plain,
( spl11_280
| ~ spl11_41
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1518,f1473,f548,f2755]) ).
fof(f2755,plain,
( spl11_280
<=> ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_280])]) ).
fof(f1518,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) )
| ~ spl11_41
| ~ spl11_174 ),
inference(resolution,[],[f1474,f549]) ).
fof(f2753,plain,
( spl11_279
| ~ spl11_64
| ~ spl11_172 ),
inference(avatar_split_clause,[],[f1458,f1454,f647,f2751]) ).
fof(f1458,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl11_64
| ~ spl11_172 ),
inference(resolution,[],[f1455,f648]) ).
fof(f2749,plain,
( spl11_278
| ~ spl11_125
| ~ spl11_163 ),
inference(avatar_split_clause,[],[f1385,f1348,f1068,f2747]) ).
fof(f2747,plain,
( spl11_278
<=> ! [X0,X3,X2,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_278])]) ).
fof(f1348,plain,
( spl11_163
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_163])]) ).
fof(f1385,plain,
( ! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl11_125
| ~ spl11_163 ),
inference(superposition,[],[f1349,f1069]) ).
fof(f1349,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl11_163 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f2745,plain,
( spl11_277
| ~ spl11_114
| ~ spl11_163 ),
inference(avatar_split_clause,[],[f1384,f1348,f983,f2743]) ).
fof(f1384,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_163 ),
inference(superposition,[],[f1349,f984]) ).
fof(f2741,plain,
( spl11_276
| ~ spl11_146
| ~ spl11_200 ),
inference(avatar_split_clause,[],[f2108,f1734,f1244,f2738]) ).
fof(f2738,plain,
( spl11_276
<=> leq(host(sK5),s(s(s(host(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_276])]) ).
fof(f2108,plain,
( leq(host(sK5),s(s(s(host(sK6)))))
| ~ spl11_146
| ~ spl11_200 ),
inference(resolution,[],[f1735,f1245]) ).
fof(f2736,plain,
( spl11_275
| ~ spl11_137
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f1990,f1936,f1179,f2734]) ).
fof(f2734,plain,
( spl11_275
<=> ! [X0,X1] :
( sK10(X0,cons(X1,queue(host(sK6)))) = X1
| sP1(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK10(X0,cons(X1,queue(host(sK6))))
| elem(sK10(X0,cons(X1,queue(host(sK6)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_275])]) ).
fof(f1179,plain,
( spl11_137
<=> ! [X0] :
( ~ elem(X0,queue(host(sK6)))
| m_Down(sK4) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_137])]) ).
fof(f1990,plain,
( ! [X0,X1] :
( sK10(X0,cons(X1,queue(host(sK6)))) = X1
| sP1(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK10(X0,cons(X1,queue(host(sK6))))
| elem(sK10(X0,cons(X1,queue(host(sK6)))),sK2) )
| ~ spl11_137
| ~ spl11_213 ),
inference(resolution,[],[f1937,f1180]) ).
fof(f1180,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK6)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl11_137 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f2732,plain,
( spl11_274
| ~ spl11_137
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1979,f1932,f1179,f2730]) ).
fof(f2730,plain,
( spl11_274
<=> ! [X0,X1] :
( sK9(X0,cons(X1,queue(host(sK6)))) = X1
| sP0(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK9(X0,cons(X1,queue(host(sK6))))
| elem(sK9(X0,cons(X1,queue(host(sK6)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_274])]) ).
fof(f1979,plain,
( ! [X0,X1] :
( sK9(X0,cons(X1,queue(host(sK6)))) = X1
| sP0(X0,cons(X1,queue(host(sK6))))
| m_Down(sK4) = sK9(X0,cons(X1,queue(host(sK6))))
| elem(sK9(X0,cons(X1,queue(host(sK6)))),sK2) )
| ~ spl11_137
| ~ spl11_212 ),
inference(resolution,[],[f1933,f1180]) ).
fof(f2728,plain,
( spl11_273
| ~ spl11_137
| ~ spl11_210 ),
inference(avatar_split_clause,[],[f1959,f1923,f1179,f2726]) ).
fof(f2726,plain,
( spl11_273
<=> ! [X0,X1] :
( sK10(X0,snoc(queue(host(sK6)),X1)) = X1
| sP1(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK10(X0,snoc(queue(host(sK6)),X1))
| elem(sK10(X0,snoc(queue(host(sK6)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_273])]) ).
fof(f1959,plain,
( ! [X0,X1] :
( sK10(X0,snoc(queue(host(sK6)),X1)) = X1
| sP1(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK10(X0,snoc(queue(host(sK6)),X1))
| elem(sK10(X0,snoc(queue(host(sK6)),X1)),sK2) )
| ~ spl11_137
| ~ spl11_210 ),
inference(resolution,[],[f1924,f1180]) ).
fof(f2724,plain,
( spl11_272
| ~ spl11_137
| ~ spl11_209 ),
inference(avatar_split_clause,[],[f1939,f1919,f1179,f2722]) ).
fof(f2722,plain,
( spl11_272
<=> ! [X0,X1] :
( sK9(X0,snoc(queue(host(sK6)),X1)) = X1
| sP0(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK9(X0,snoc(queue(host(sK6)),X1))
| elem(sK9(X0,snoc(queue(host(sK6)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_272])]) ).
fof(f1939,plain,
( ! [X0,X1] :
( sK9(X0,snoc(queue(host(sK6)),X1)) = X1
| sP0(X0,snoc(queue(host(sK6)),X1))
| m_Down(sK4) = sK9(X0,snoc(queue(host(sK6)),X1))
| elem(sK9(X0,snoc(queue(host(sK6)),X1)),sK2) )
| ~ spl11_137
| ~ spl11_209 ),
inference(resolution,[],[f1920,f1180]) ).
fof(f2689,plain,
( ~ spl11_271
| ~ spl11_146
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1832,f1485,f1244,f2686]) ).
fof(f2686,plain,
( spl11_271
<=> leq(s(s(s(host(sK6)))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_271])]) ).
fof(f1832,plain,
( ~ leq(s(s(s(host(sK6)))),host(sK5))
| ~ spl11_146
| ~ spl11_177 ),
inference(resolution,[],[f1486,f1245]) ).
fof(f2570,plain,
( spl11_270
| ~ spl11_35
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1521,f1473,f522,f2568]) ).
fof(f2568,plain,
( spl11_270
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_270])]) ).
fof(f522,plain,
( spl11_35
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_35])]) ).
fof(f1521,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl11_35
| ~ spl11_174 ),
inference(resolution,[],[f1474,f523]) ).
fof(f523,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl11_35 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f2566,plain,
( spl11_269
| ~ spl11_33
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1517,f1473,f513,f2564]) ).
fof(f2564,plain,
( spl11_269
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_269])]) ).
fof(f513,plain,
( spl11_33
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).
fof(f1517,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl11_33
| ~ spl11_174 ),
inference(resolution,[],[f1474,f515]) ).
fof(f515,plain,
( leq(s(zero),nbr_proc)
| ~ spl11_33 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f2562,plain,
( spl11_268
| ~ spl11_142
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1516,f1473,f1216,f2560]) ).
fof(f2560,plain,
( spl11_268
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_268])]) ).
fof(f1216,plain,
( spl11_142
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_142])]) ).
fof(f1516,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl11_142
| ~ spl11_174 ),
inference(resolution,[],[f1474,f1217]) ).
fof(f1217,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl11_142 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f2558,plain,
( spl11_267
| ~ spl11_77
| ~ spl11_171 ),
inference(avatar_split_clause,[],[f1446,f1420,f728,f2556]) ).
fof(f2556,plain,
( spl11_267
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_267])]) ).
fof(f1446,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl11_77
| ~ spl11_171 ),
inference(superposition,[],[f1421,f729]) ).
fof(f2554,plain,
( ~ spl11_266
| spl11_7
| ~ spl11_261 ),
inference(avatar_split_clause,[],[f2516,f2431,f375,f2551]) ).
fof(f2551,plain,
( spl11_266
<=> leq(host(sK6),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_266])]) ).
fof(f2431,plain,
( spl11_261
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_261])]) ).
fof(f2516,plain,
( ~ leq(host(sK6),zero)
| spl11_7
| ~ spl11_261 ),
inference(resolution,[],[f2432,f377]) ).
fof(f2432,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl11_261 ),
inference(avatar_component_clause,[],[f2431]) ).
fof(f2549,plain,
( spl11_265
| ~ spl11_100
| ~ spl11_168 ),
inference(avatar_split_clause,[],[f1441,f1408,f869,f2547]) ).
fof(f2547,plain,
( spl11_265
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_265])]) ).
fof(f1441,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl11_100
| ~ spl11_168 ),
inference(resolution,[],[f1409,f870]) ).
fof(f2545,plain,
( spl11_264
| ~ spl11_164
| ~ spl11_168 ),
inference(avatar_split_clause,[],[f1440,f1408,f1388,f2543]) ).
fof(f2543,plain,
( spl11_264
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_264])]) ).
fof(f1440,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl11_164
| ~ spl11_168 ),
inference(resolution,[],[f1409,f1389]) ).
fof(f2541,plain,
( spl11_263
| ~ spl11_64
| ~ spl11_168 ),
inference(avatar_split_clause,[],[f1438,f1408,f647,f2539]) ).
fof(f2539,plain,
( spl11_263
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_263])]) ).
fof(f1438,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl11_64
| ~ spl11_168 ),
inference(resolution,[],[f1409,f648]) ).
fof(f2537,plain,
( spl11_262
| ~ spl11_83
| ~ spl11_156 ),
inference(avatar_split_clause,[],[f1357,f1320,f752,f2535]) ).
fof(f1357,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl11_83
| ~ spl11_156 ),
inference(resolution,[],[f1321,f753]) ).
fof(f2433,plain,
( spl11_261
| ~ spl11_83
| ~ spl11_168 ),
inference(avatar_split_clause,[],[f1435,f1408,f752,f2431]) ).
fof(f1435,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl11_83
| ~ spl11_168 ),
inference(resolution,[],[f1409,f753]) ).
fof(f2429,plain,
( spl11_260
| ~ spl11_158
| ~ spl11_164 ),
inference(avatar_split_clause,[],[f1425,f1388,f1328,f2427]) ).
fof(f2427,plain,
( spl11_260
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_260])]) ).
fof(f1425,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl11_158
| ~ spl11_164 ),
inference(resolution,[],[f1389,f1329]) ).
fof(f2425,plain,
( spl11_259
| ~ spl11_77
| ~ spl11_163 ),
inference(avatar_split_clause,[],[f1383,f1348,f728,f2423]) ).
fof(f1383,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl11_77
| ~ spl11_163 ),
inference(superposition,[],[f1349,f729]) ).
fof(f2421,plain,
( spl11_258
| ~ spl11_64
| ~ spl11_159 ),
inference(avatar_split_clause,[],[f1366,f1332,f647,f2419]) ).
fof(f1366,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl11_64
| ~ spl11_159 ),
inference(resolution,[],[f1333,f648]) ).
fof(f2417,plain,
( spl11_257
| ~ spl11_100
| ~ spl11_158 ),
inference(avatar_split_clause,[],[f1364,f1328,f869,f2415]) ).
fof(f2415,plain,
( spl11_257
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_257])]) ).
fof(f1364,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl11_100
| ~ spl11_158 ),
inference(resolution,[],[f1329,f870]) ).
fof(f2413,plain,
( spl11_256
| ~ spl11_64
| ~ spl11_158 ),
inference(avatar_split_clause,[],[f1362,f1328,f647,f2411]) ).
fof(f1362,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl11_64
| ~ spl11_158 ),
inference(resolution,[],[f1329,f648]) ).
fof(f2409,plain,
( spl11_255
| ~ spl11_64
| ~ spl11_156 ),
inference(avatar_split_clause,[],[f1355,f1320,f647,f2407]) ).
fof(f2407,plain,
( spl11_255
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_255])]) ).
fof(f1355,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl11_64
| ~ spl11_156 ),
inference(resolution,[],[f1321,f648]) ).
fof(f2403,plain,
( spl11_254
| ~ spl11_136
| ~ spl11_213 ),
inference(avatar_split_clause,[],[f1998,f1936,f1175,f2401]) ).
fof(f2401,plain,
( spl11_254
<=> ! [X0,X1] :
( elem(sK10(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK10(X1,snoc(queue(host(sK6)),X0))
| sP1(X1,snoc(queue(host(sK6)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_254])]) ).
fof(f1998,plain,
( ! [X0,X1] :
( elem(sK10(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK10(X1,snoc(queue(host(sK6)),X0))
| sP1(X1,snoc(queue(host(sK6)),X0)) )
| ~ spl11_136
| ~ spl11_213 ),
inference(superposition,[],[f1937,f1176]) ).
fof(f2399,plain,
( spl11_253
| ~ spl11_136
| ~ spl11_212 ),
inference(avatar_split_clause,[],[f1987,f1932,f1175,f2397]) ).
fof(f2397,plain,
( spl11_253
<=> ! [X0,X1] :
( elem(sK9(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK9(X1,snoc(queue(host(sK6)),X0))
| sP0(X1,snoc(queue(host(sK6)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_253])]) ).
fof(f1987,plain,
( ! [X0,X1] :
( elem(sK9(X1,snoc(queue(host(sK6)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK9(X1,snoc(queue(host(sK6)),X0))
| sP0(X1,snoc(queue(host(sK6)),X0)) )
| ~ spl11_136
| ~ spl11_212 ),
inference(superposition,[],[f1933,f1176]) ).
fof(f2379,plain,
( spl11_252
| ~ spl11_83
| ~ spl11_158 ),
inference(avatar_split_clause,[],[f1359,f1328,f752,f2377]) ).
fof(f2377,plain,
( spl11_252
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_252])]) ).
fof(f1359,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl11_83
| ~ spl11_158 ),
inference(resolution,[],[f1329,f753]) ).
fof(f2375,plain,
( spl11_251
| ~ spl11_83
| ~ spl11_146 ),
inference(avatar_split_clause,[],[f1258,f1244,f752,f2373]) ).
fof(f1258,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl11_83
| ~ spl11_146 ),
inference(resolution,[],[f1245,f753]) ).
fof(f2360,plain,
( spl11_250
| ~ spl11_64
| ~ spl11_146 ),
inference(avatar_split_clause,[],[f1256,f1244,f647,f2358]) ).
fof(f2358,plain,
( spl11_250
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_250])]) ).
fof(f1256,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl11_64
| ~ spl11_146 ),
inference(resolution,[],[f1245,f648]) ).
fof(f2356,plain,
( ~ spl11_249
| ~ spl11_183
| ~ spl11_235 ),
inference(avatar_split_clause,[],[f2308,f2198,f1545,f2353]) ).
fof(f2353,plain,
( spl11_249
<=> elem(m_Ldr(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_249])]) ).
fof(f2308,plain,
( ~ elem(m_Ldr(sK5),sK2)
| ~ spl11_183
| ~ spl11_235 ),
inference(resolution,[],[f2199,f1546]) ).
fof(f2351,plain,
( spl11_248
| ~ spl11_103
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1195,f1179,f881,f2349]) ).
fof(f2349,plain,
( spl11_248
<=> ! [X0] :
( m_Down(sK4) = sK10(X0,queue(host(sK6)))
| elem(sK10(X0,queue(host(sK6))),sK2)
| sP1(X0,queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_248])]) ).
fof(f1195,plain,
( ! [X0] :
( m_Down(sK4) = sK10(X0,queue(host(sK6)))
| elem(sK10(X0,queue(host(sK6))),sK2)
| sP1(X0,queue(host(sK6))) )
| ~ spl11_103
| ~ spl11_137 ),
inference(resolution,[],[f1180,f882]) ).
fof(f2347,plain,
( spl11_247
| ~ spl11_102
| ~ spl11_137 ),
inference(avatar_split_clause,[],[f1194,f1179,f877,f2345]) ).
fof(f2345,plain,
( spl11_247
<=> ! [X0] :
( m_Down(sK4) = sK9(X0,queue(host(sK6)))
| elem(sK9(X0,queue(host(sK6))),sK2)
| sP0(X0,queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_247])]) ).
fof(f1194,plain,
( ! [X0] :
( m_Down(sK4) = sK9(X0,queue(host(sK6)))
| elem(sK9(X0,queue(host(sK6))),sK2)
| sP0(X0,queue(host(sK6))) )
| ~ spl11_102
| ~ spl11_137 ),
inference(resolution,[],[f1180,f878]) ).
fof(f2343,plain,
( spl11_245
| spl11_246
| spl11_67
| ~ spl11_137
| ~ spl11_160 ),
inference(avatar_split_clause,[],[f1370,f1336,f1179,f659,f2340,f2336]) ).
fof(f1370,plain,
( q_nil = queue(host(sK6))
| m_Down(sK4) = last(queue(host(sK6)))
| elem(last(queue(host(sK6))),sK2)
| ~ spl11_137
| ~ spl11_160 ),
inference(resolution,[],[f1337,f1180]) ).
fof(f2307,plain,
( spl11_235
| spl11_244
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_152 ),
inference(avatar_split_clause,[],[f1285,f1276,f623,f391,f365,f2305,f2198]) ).
fof(f1285,plain,
( ! [X0] :
( ~ leq(host(sK6),sK7(X0,sK6))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_59
| ~ spl11_152 ),
inference(forward_demodulation,[],[f1284,f625]) ).
fof(f1284,plain,
( ! [X0] :
( ~ leq(host(sK6),sK7(X0,sK3))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_152 ),
inference(trivial_inequality_removal,[],[f1283]) ).
fof(f1283,plain,
( ! [X0] :
( elec_1 != elec_1
| ~ leq(host(sK6),sK7(X0,sK3))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_10
| ~ spl11_152 ),
inference(forward_demodulation,[],[f1279,f393]) ).
fof(f1279,plain,
( ! [X0] :
( elec_1 != index(status,host(sK6))
| ~ leq(host(sK6),sK7(X0,sK3))
| leq(host(sK6),host(sK5))
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl11_5
| ~ spl11_152 ),
inference(superposition,[],[f1277,f367]) ).
fof(f2297,plain,
( spl11_243
| ~ spl11_41
| ~ spl11_156 ),
inference(avatar_split_clause,[],[f1352,f1320,f548,f2295]) ).
fof(f2295,plain,
( spl11_243
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_243])]) ).
fof(f1352,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl11_41
| ~ spl11_156 ),
inference(resolution,[],[f1321,f549]) ).
fof(f2244,plain,
( spl11_242
| ~ spl11_128
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1191,f1175,f1081,f2242]) ).
fof(f2242,plain,
( spl11_242
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK6)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_242])]) ).
fof(f1191,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK6)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl11_128
| ~ spl11_136 ),
inference(superposition,[],[f1082,f1176]) ).
fof(f2240,plain,
( spl11_241
| ~ spl11_125
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1190,f1175,f1068,f2238]) ).
fof(f1190,plain,
( ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK6)),X0),X1)
| ~ spl11_125
| ~ spl11_136 ),
inference(superposition,[],[f1069,f1176]) ).
fof(f2236,plain,
( spl11_240
| ~ spl11_107
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1189,f1175,f915,f2234]) ).
fof(f2234,plain,
( spl11_240
<=> ! [X0] :
( ordered(snoc(queue(host(sK6)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_240])]) ).
fof(f1189,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK6)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl11_107
| ~ spl11_136 ),
inference(superposition,[],[f916,f1176]) ).
fof(f2226,plain,
( ~ spl11_239
| ~ spl11_83
| spl11_165 ),
inference(avatar_split_clause,[],[f1400,f1392,f752,f2223]) ).
fof(f2223,plain,
( spl11_239
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_239])]) ).
fof(f1392,plain,
( spl11_165
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_165])]) ).
fof(f1400,plain,
( ~ leq(nbr_proc,zero)
| ~ spl11_83
| spl11_165 ),
inference(resolution,[],[f1394,f753]) ).
fof(f1394,plain,
( ~ leq(nbr_proc,s(zero))
| spl11_165 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f2221,plain,
( spl11_238
| ~ spl11_33
| ~ spl11_156 ),
inference(avatar_split_clause,[],[f1351,f1320,f513,f2218]) ).
fof(f2218,plain,
( spl11_238
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_238])]) ).
fof(f1351,plain,
( leq(zero,nbr_proc)
| ~ spl11_33
| ~ spl11_156 ),
inference(resolution,[],[f1321,f515]) ).
fof(f2216,plain,
( ~ spl11_237
| ~ spl11_2
| ~ spl11_135
| ~ spl11_194 ),
inference(avatar_split_clause,[],[f2095,f1665,f1166,f350,f2213]) ).
fof(f2213,plain,
( spl11_237
<=> elem(m_Down(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_237])]) ).
fof(f2095,plain,
( ~ setIn(sK6,alive)
| ~ elem(m_Down(sK5),sK2)
| ~ spl11_135
| ~ spl11_194 ),
inference(resolution,[],[f1666,f1167]) ).
fof(f2205,plain,
( ~ spl11_235
| spl11_236
| spl11_11
| ~ spl11_195 ),
inference(avatar_split_clause,[],[f1702,f1683,f396,f2202,f2198]) ).
fof(f1702,plain,
( s(host(sK6)) = s(host(sK5))
| ~ leq(host(sK6),host(sK5))
| spl11_11
| ~ spl11_195 ),
inference(resolution,[],[f1684,f398]) ).
fof(f2196,plain,
( spl11_234
| ~ spl11_106
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1188,f1175,f893,f2194]) ).
fof(f2194,plain,
( spl11_234
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK6)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_234])]) ).
fof(f1188,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK6)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl11_106
| ~ spl11_136 ),
inference(superposition,[],[f894,f1176]) ).
fof(f2192,plain,
( spl11_233
| ~ spl11_80
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1187,f1175,f740,f2190]) ).
fof(f1187,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) )
| ~ spl11_80
| ~ spl11_136 ),
inference(superposition,[],[f741,f1176]) ).
fof(f2183,plain,
( spl11_231
| spl11_232
| ~ spl11_88
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1090,f1064,f785,f2180,f2176]) ).
fof(f1090,plain,
( host(sK5) = s(host(sK6))
| leq(host(sK5),host(sK6))
| ~ spl11_88
| ~ spl11_124 ),
inference(resolution,[],[f1065,f787]) ).
fof(f2141,plain,
( spl11_230
| ~ spl11_88
| ~ spl11_174 ),
inference(avatar_split_clause,[],[f1522,f1473,f785,f2139]) ).
fof(f1522,plain,
( ! [X0] :
( ~ leq(X0,host(sK5))
| leq(X0,s(s(host(sK6)))) )
| ~ spl11_88
| ~ spl11_174 ),
inference(resolution,[],[f1474,f787]) ).
fof(f2137,plain,
( spl11_229
| ~ spl11_144 ),
inference(avatar_split_clause,[],[f1234,f1230,f2135]) ).
fof(f1234,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,sK5),queue(host(X0))) )
| ~ spl11_144 ),
inference(equality_resolution,[],[f1231]) ).
fof(f2133,plain,
( spl11_228
| ~ spl11_65
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1186,f1175,f651,f2131]) ).
fof(f2131,plain,
( spl11_228
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_228])]) ).
fof(f1186,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK6)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl11_65
| ~ spl11_136 ),
inference(superposition,[],[f652,f1176]) ).
fof(f2129,plain,
( spl11_227
| ~ spl11_61
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1185,f1175,f635,f2127]) ).
fof(f1185,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK6)),X0))
| ~ spl11_61
| ~ spl11_136 ),
inference(superposition,[],[f636,f1176]) ).
fof(f2102,plain,
( ~ spl11_226
| ~ spl11_25
| ~ spl11_183 ),
inference(avatar_split_clause,[],[f2076,f1545,f464,f2099]) ).
fof(f2099,plain,
( spl11_226
<=> elem(m_Ldr(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_226])]) ).
fof(f2076,plain,
( ~ elem(m_Ldr(sK6),sK2)
| ~ spl11_25
| ~ spl11_183 ),
inference(resolution,[],[f1546,f465]) ).
fof(f2094,plain,
( spl11_225
| ~ spl11_88
| ~ spl11_185 ),
inference(avatar_split_clause,[],[f1631,f1582,f785,f2092]) ).
fof(f1631,plain,
( ! [X0] :
( leq(host(sK5),s(X0))
| ~ leq(host(sK6),X0) )
| ~ spl11_88
| ~ spl11_185 ),
inference(resolution,[],[f1583,f787]) ).
fof(f2057,plain,
( spl11_224
| ~ spl11_64
| spl11_211 ),
inference(avatar_split_clause,[],[f2013,f1927,f647,f2054]) ).
fof(f2054,plain,
( spl11_224
<=> leq(host(sK5),s(s(host(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_224])]) ).
fof(f1927,plain,
( spl11_211
<=> leq(s(s(host(sK6))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_211])]) ).
fof(f2013,plain,
( leq(host(sK5),s(s(host(sK6))))
| ~ spl11_64
| spl11_211 ),
inference(resolution,[],[f1929,f648]) ).
fof(f1929,plain,
( ~ leq(s(s(host(sK6))),host(sK5))
| spl11_211 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f2046,plain,
( spl11_223
| ~ spl11_40
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1162,f1150,f544,f2044]) ).
fof(f2044,plain,
( spl11_223
<=> ! [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,[spl11_223])]) ).
fof(f1150,plain,
( spl11_134
<=> ! [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,[spl11_134])]) ).
fof(f1162,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) )
| ~ spl11_40
| ~ spl11_134 ),
inference(superposition,[],[f1151,f545]) ).
fof(f1151,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) )
| ~ spl11_134 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f2042,plain,
( spl11_222
| ~ spl11_39
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1161,f1150,f540,f2040]) ).
fof(f2040,plain,
( spl11_222
<=> ! [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,[spl11_222])]) ).
fof(f1161,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) )
| ~ spl11_39
| ~ spl11_134 ),
inference(superposition,[],[f1151,f541]) ).
fof(f2038,plain,
( spl11_221
| ~ spl11_40
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1160,f1150,f544,f2036]) ).
fof(f1160,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) )
| ~ spl11_40
| ~ spl11_134 ),
inference(superposition,[],[f1151,f545]) ).
fof(f2034,plain,
( spl11_220
| ~ spl11_39
| ~ spl11_134 ),
inference(avatar_split_clause,[],[f1159,f1150,f540,f2032]) ).
fof(f1159,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) )
| ~ spl11_39
| ~ spl11_134 ),
inference(superposition,[],[f1151,f541]) ).
fof(f2030,plain,
( spl11_219
| ~ spl11_40
| ~ spl11_133 ),
inference(avatar_split_clause,[],[f1156,f1146,f544,f2028]) ).
fof(f2028,plain,
( spl11_219
<=> ! [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,[spl11_219])]) ).
fof(f1146,plain,
( spl11_133
<=> ! [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,[spl11_133])]) ).
fof(f1156,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) )
| ~ spl11_40
| ~ spl11_133 ),
inference(superposition,[],[f1147,f545]) ).
fof(f1147,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) )
| ~ spl11_133 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f2026,plain,
( spl11_218
| ~ spl11_39
| ~ spl11_133 ),
inference(avatar_split_clause,[],[f1155,f1146,f540,f2024]) ).
fof(f2024,plain,
( spl11_218
<=> ! [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,[spl11_218])]) ).
fof(f1155,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) )
| ~ spl11_39
| ~ spl11_133 ),
inference(superposition,[],[f1147,f541]) ).
fof(f2022,plain,
( spl11_217
| ~ spl11_40
| ~ spl11_133 ),
inference(avatar_split_clause,[],[f1154,f1146,f544,f2020]) ).
fof(f1154,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) )
| ~ spl11_40
| ~ spl11_133 ),
inference(superposition,[],[f1147,f545]) ).
fof(f2018,plain,
( spl11_216
| ~ spl11_39
| ~ spl11_133 ),
inference(avatar_split_clause,[],[f1153,f1146,f540,f2016]) ).
fof(f1153,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) )
| ~ spl11_39
| ~ spl11_133 ),
inference(superposition,[],[f1147,f541]) ).
fof(f2008,plain,
( spl11_215
| ~ spl11_81
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1133,f1117,f744,f2006]) ).
fof(f744,plain,
( spl11_81
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_81])]) ).
fof(f1117,plain,
( spl11_129
<=> ! [X0] :
( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_129])]) ).
fof(f1133,plain,
( ! [X0,X1] :
( sK10(X0,X1) = m_Halt(sK8(sK10(X0,X1)))
| sK10(X0,X1) = m_Down(sK8(sK10(X0,X1)))
| sP1(X0,X1) )
| ~ spl11_81
| ~ spl11_129 ),
inference(resolution,[],[f1118,f745]) ).
fof(f745,plain,
( ! [X0,X1] :
( pidElem(sK10(X0,X1))
| sP1(X0,X1) )
| ~ spl11_81 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f1118,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK8(X0)) = X0
| m_Down(sK8(X0)) = X0 )
| ~ spl11_129 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f2004,plain,
( spl11_214
| ~ spl11_79
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1132,f1117,f736,f2002]) ).
fof(f736,plain,
( spl11_79
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_79])]) ).
fof(f1132,plain,
( ! [X0,X1] :
( sK9(X0,X1) = m_Halt(sK8(sK9(X0,X1)))
| sK9(X0,X1) = m_Down(sK8(sK9(X0,X1)))
| sP0(X0,X1) )
| ~ spl11_79
| ~ spl11_129 ),
inference(resolution,[],[f1118,f737]) ).
fof(f737,plain,
( ! [X0,X1] :
( pidElem(sK9(X0,X1))
| sP0(X0,X1) )
| ~ spl11_79 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f1938,plain,
( spl11_213
| ~ spl11_103
| ~ spl11_128 ),
inference(avatar_split_clause,[],[f1113,f1081,f881,f1936]) ).
fof(f1113,plain,
( ! [X2,X0,X1] :
( sK10(X0,cons(X1,X2)) = X1
| elem(sK10(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl11_103
| ~ spl11_128 ),
inference(resolution,[],[f1082,f882]) ).
fof(f1934,plain,
( spl11_212
| ~ spl11_102
| ~ spl11_128 ),
inference(avatar_split_clause,[],[f1112,f1081,f877,f1932]) ).
fof(f1112,plain,
( ! [X2,X0,X1] :
( sK9(X0,cons(X1,X2)) = X1
| elem(sK9(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl11_102
| ~ spl11_128 ),
inference(resolution,[],[f1082,f878]) ).
fof(f1930,plain,
( ~ spl11_211
| ~ spl11_34
| ~ spl11_177 ),
inference(avatar_split_clause,[],[f1831,f1485,f518,f1927]) ).
fof(f1831,plain,
( ~ leq(s(s(host(sK6))),host(sK5))
| ~ spl11_34
| ~ spl11_177 ),
inference(resolution,[],[f1486,f519]) ).
fof(f1925,plain,
( spl11_210
| ~ spl11_103
| ~ spl11_127 ),
inference(avatar_split_clause,[],[f1106,f1077,f881,f1923]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( sK10(X0,snoc(X1,X2)) = X2
| elem(sK10(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl11_103
| ~ spl11_127 ),
inference(resolution,[],[f1078,f882]) ).
fof(f1921,plain,
( spl11_209
| ~ spl11_102
| ~ spl11_127 ),
inference(avatar_split_clause,[],[f1105,f1077,f877,f1919]) ).
fof(f1105,plain,
( ! [X2,X0,X1] :
( sK9(X0,snoc(X1,X2)) = X2
| elem(sK9(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl11_102
| ~ spl11_127 ),
inference(resolution,[],[f1078,f878]) ).
fof(f1890,plain,
( spl11_208
| ~ spl11_125
| ~ spl11_127 ),
inference(avatar_split_clause,[],[f1109,f1077,f1068,f1888]) ).
fof(f1109,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl11_125
| ~ spl11_127 ),
inference(superposition,[],[f1078,f1069]) ).
fof(f1886,plain,
( spl11_207
| ~ spl11_108
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1100,f1068,f919,f1884]) ).
fof(f919,plain,
( spl11_108
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_108])]) ).
fof(f1100,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_108
| ~ spl11_125 ),
inference(superposition,[],[f920,f1069]) ).
fof(f920,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl11_108 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f1799,plain,
( spl11_206
| ~ spl11_26
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1131,f1117,f468,f1797]) ).
fof(f1131,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK8(m_Down(X0)))
| m_Down(X0) = m_Down(sK8(m_Down(X0))) )
| ~ spl11_26
| ~ spl11_129 ),
inference(resolution,[],[f1118,f469]) ).
fof(f1795,plain,
( spl11_205
| ~ spl11_27
| ~ spl11_129 ),
inference(avatar_split_clause,[],[f1130,f1117,f472,f1793]) ).
fof(f472,plain,
( spl11_27
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
fof(f1130,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK8(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK8(m_Halt(X0))) )
| ~ spl11_27
| ~ spl11_129 ),
inference(resolution,[],[f1118,f473]) ).
fof(f473,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f1791,plain,
( spl11_204
| ~ spl11_115
| ~ spl11_128 ),
inference(avatar_split_clause,[],[f1115,f1081,f987,f1789]) ).
fof(f1115,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl11_115
| ~ spl11_128 ),
inference(superposition,[],[f1082,f988]) ).
fof(f1787,plain,
( spl11_203
| ~ spl11_114
| ~ spl11_127 ),
inference(avatar_split_clause,[],[f1108,f1077,f983,f1785]) ).
fof(f1108,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl11_114
| ~ spl11_127 ),
inference(superposition,[],[f1078,f984]) ).
fof(f1783,plain,
( spl11_202
| ~ spl11_115
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1092,f1068,f987,f1781]) ).
fof(f1092,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl11_115
| ~ spl11_125 ),
inference(superposition,[],[f1069,f988]) ).
fof(f1740,plain,
( spl11_201
| ~ spl11_107
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f1030,f987,f915,f1738]) ).
fof(f1030,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl11_107
| ~ spl11_115 ),
inference(superposition,[],[f916,f988]) ).
fof(f1736,plain,
( spl11_200
| ~ spl11_88
| ~ spl11_172 ),
inference(avatar_split_clause,[],[f1467,f1454,f785,f1734]) ).
fof(f1467,plain,
( ! [X0] :
( leq(host(sK5),X0)
| leq(X0,s(host(sK6))) )
| ~ spl11_88
| ~ spl11_172 ),
inference(resolution,[],[f1455,f787]) ).
fof(f1732,plain,
( spl11_199
| ~ spl11_108
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f1021,f983,f919,f1730]) ).
fof(f1021,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl11_108
| ~ spl11_114 ),
inference(superposition,[],[f920,f984]) ).
fof(f1728,plain,
( spl11_198
| ~ spl11_100
| ~ spl11_109 ),
inference(avatar_split_clause,[],[f942,f923,f869,f1726]) ).
fof(f942,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl11_100
| ~ spl11_109 ),
inference(resolution,[],[f924,f870]) ).
fof(f1693,plain,
( spl11_197
| ~ spl11_104
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1102,f1068,f885,f1691]) ).
fof(f1102,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_104
| ~ spl11_125 ),
inference(superposition,[],[f886,f1069]) ).
fof(f1689,plain,
( spl11_196
| ~ spl11_105
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1099,f1068,f889,f1687]) ).
fof(f889,plain,
( spl11_105
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_105])]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl11_105
| ~ spl11_125 ),
inference(superposition,[],[f890,f1069]) ).
fof(f890,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl11_105 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f1685,plain,
( spl11_195
| ~ spl11_100
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1089,f1064,f869,f1683]) ).
fof(f1089,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl11_100
| ~ spl11_124 ),
inference(resolution,[],[f1065,f870]) ).
fof(f1667,plain,
( spl11_194
| ~ spl11_143 ),
inference(avatar_split_clause,[],[f1228,f1224,f1665]) ).
fof(f1228,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(X0))) )
| ~ spl11_143 ),
inference(equality_resolution,[],[f1225]) ).
fof(f1616,plain,
( spl11_193
| ~ spl11_78
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1101,f1068,f732,f1614]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl11_78
| ~ spl11_125 ),
inference(superposition,[],[f733,f1069]) ).
fof(f1612,plain,
( spl11_192
| ~ spl11_82
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1098,f1068,f748,f1610]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl11_82
| ~ spl11_125 ),
inference(superposition,[],[f749,f1069]) ).
fof(f1608,plain,
( spl11_191
| ~ spl11_64
| ~ spl11_124 ),
inference(avatar_split_clause,[],[f1087,f1064,f647,f1606]) ).
fof(f1087,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl11_64
| ~ spl11_124 ),
inference(resolution,[],[f1065,f648]) ).
fof(f1604,plain,
( spl11_190
| ~ spl11_60
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1184,f1175,f631,f1602]) ).
fof(f1602,plain,
( spl11_190
<=> ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK6)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_190])]) ).
fof(f1184,plain,
( ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK6)),X0))
| ~ spl11_60
| ~ spl11_136 ),
inference(superposition,[],[f632,f1176]) ).
fof(f1600,plain,
( spl11_189
| ~ spl11_40
| ~ spl11_119 ),
inference(avatar_split_clause,[],[f1046,f1003,f544,f1598]) ).
fof(f1003,plain,
( spl11_119
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_119])]) ).
fof(f1046,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl11_40
| ~ spl11_119 ),
inference(superposition,[],[f1004,f545]) ).
fof(f1004,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl11_119 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1596,plain,
( spl11_188
| ~ spl11_39
| ~ spl11_119 ),
inference(avatar_split_clause,[],[f1045,f1003,f540,f1594]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK10(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl11_39
| ~ spl11_119 ),
inference(superposition,[],[f1004,f541]) ).
fof(f1592,plain,
( spl11_187
| ~ spl11_40
| ~ spl11_118 ),
inference(avatar_split_clause,[],[f1042,f999,f544,f1590]) ).
fof(f999,plain,
( spl11_118
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_118])]) ).
fof(f1042,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl11_40
| ~ spl11_118 ),
inference(superposition,[],[f1000,f545]) ).
fof(f1000,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1)))
| sP0(X0,X1) )
| ~ spl11_118 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1588,plain,
( spl11_186
| ~ spl11_39
| ~ spl11_118 ),
inference(avatar_split_clause,[],[f1041,f999,f540,f1586]) ).
fof(f1041,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK9(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl11_39
| ~ spl11_118 ),
inference(superposition,[],[f1000,f541]) ).
fof(f1584,plain,
( spl11_185
| ~ spl11_100
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f950,f927,f869,f1582]) ).
fof(f950,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl11_100
| ~ spl11_110 ),
inference(resolution,[],[f928,f870]) ).
fof(f1580,plain,
( spl11_184
| ~ spl11_83
| ~ spl11_109 ),
inference(avatar_split_clause,[],[f939,f923,f752,f1578]) ).
fof(f939,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl11_83
| ~ spl11_109 ),
inference(resolution,[],[f924,f753]) ).
fof(f1547,plain,
( spl11_183
| ~ spl11_15
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f1169,f1166,f416,f1545]) ).
fof(f416,plain,
( spl11_15
<=> ! [X44,X43] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1169,plain,
( ! [X0] :
( ~ elem(m_Ldr(X0),sK2)
| ~ leq(host(sK6),host(X0)) )
| ~ spl11_15
| ~ spl11_135 ),
inference(resolution,[],[f1167,f417]) ).
fof(f417,plain,
( ! [X44,X43] :
( ~ elem(m_Ldr(X44),queue(host(X43)))
| ~ leq(host(X43),host(X44)) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f1507,plain,
( spl11_182
| ~ spl11_66
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1097,f1068,f655,f1505]) ).
fof(f655,plain,
( spl11_66
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_66])]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl11_66
| ~ spl11_125 ),
inference(superposition,[],[f656,f1069]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl11_66 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f1503,plain,
( spl11_181
| ~ spl11_63
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1096,f1068,f643,f1501]) ).
fof(f643,plain,
( spl11_63
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_63])]) ).
fof(f1096,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl11_63
| ~ spl11_125 ),
inference(superposition,[],[f644,f1069]) ).
fof(f644,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl11_63 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f1499,plain,
( spl11_180
| ~ spl11_64
| ~ spl11_119 ),
inference(avatar_split_clause,[],[f1043,f1003,f647,f1497]) ).
fof(f1043,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK10(X0,X1))) )
| ~ spl11_64
| ~ spl11_119 ),
inference(resolution,[],[f1004,f648]) ).
fof(f1495,plain,
( spl11_179
| ~ spl11_106
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f1029,f987,f893,f1493]) ).
fof(f1029,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl11_106
| ~ spl11_115 ),
inference(superposition,[],[f894,f988]) ).
fof(f1491,plain,
( spl11_178
| ~ spl11_80
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f1028,f987,f740,f1489]) ).
fof(f1489,plain,
( spl11_178
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_178])]) ).
fof(f1028,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl11_80
| ~ spl11_115 ),
inference(superposition,[],[f741,f988]) ).
fof(f1487,plain,
( spl11_177
| ~ spl11_88
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f1035,f927,f785,f1485]) ).
fof(f1035,plain,
( ! [X0] :
( leq(X0,s(host(sK6)))
| ~ leq(X0,host(sK5)) )
| ~ spl11_88
| ~ spl11_110 ),
inference(resolution,[],[f787,f928]) ).
fof(f1483,plain,
( spl11_176
| ~ spl11_105
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f1020,f983,f889,f1481]) ).
fof(f1020,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl11_105
| ~ spl11_114 ),
inference(superposition,[],[f890,f984]) ).
fof(f1479,plain,
( spl11_175
| ~ spl11_82
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f1019,f983,f748,f1477]) ).
fof(f1477,plain,
( spl11_175
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_175])]) ).
fof(f1019,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl11_82
| ~ spl11_114 ),
inference(superposition,[],[f749,f984]) ).
fof(f1475,plain,
( spl11_174
| ~ spl11_83
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f947,f927,f752,f1473]) ).
fof(f947,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl11_83
| ~ spl11_110 ),
inference(resolution,[],[f928,f753]) ).
fof(f1471,plain,
( spl11_173
| ~ spl11_41
| ~ spl11_109 ),
inference(avatar_split_clause,[],[f941,f923,f548,f1469]) ).
fof(f1469,plain,
( spl11_173
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_173])]) ).
fof(f941,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl11_41
| ~ spl11_109 ),
inference(resolution,[],[f924,f549]) ).
fof(f1456,plain,
( spl11_172
| ~ spl11_64
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f945,f927,f647,f1454]) ).
fof(f945,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl11_64
| ~ spl11_110 ),
inference(resolution,[],[f928,f648]) ).
fof(f1422,plain,
( spl11_171
| ~ spl11_62
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1095,f1068,f639,f1420]) ).
fof(f639,plain,
( spl11_62
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_62])]) ).
fof(f1095,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl11_62
| ~ spl11_125 ),
inference(superposition,[],[f640,f1069]) ).
fof(f640,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl11_62 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f1418,plain,
( spl11_170
| ~ spl11_65
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f1027,f987,f651,f1416]) ).
fof(f1027,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl11_65
| ~ spl11_115 ),
inference(superposition,[],[f652,f988]) ).
fof(f1414,plain,
( spl11_169
| ~ spl11_66
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f1018,f983,f655,f1412]) ).
fof(f1018,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl11_66
| ~ spl11_114 ),
inference(superposition,[],[f656,f984]) ).
fof(f1410,plain,
( spl11_168
| ~ spl11_41
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f949,f927,f548,f1408]) ).
fof(f949,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl11_41
| ~ spl11_110 ),
inference(resolution,[],[f928,f549]) ).
fof(f1406,plain,
( spl11_167
| ~ spl11_35
| ~ spl11_109 ),
inference(avatar_split_clause,[],[f943,f923,f522,f1404]) ).
fof(f1404,plain,
( spl11_167
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_167])]) ).
fof(f943,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl11_35
| ~ spl11_109 ),
inference(resolution,[],[f924,f523]) ).
fof(f1399,plain,
( ~ spl11_165
| spl11_166
| ~ spl11_33
| ~ spl11_109 ),
inference(avatar_split_clause,[],[f940,f923,f513,f1396,f1392]) ).
fof(f1396,plain,
( spl11_166
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl11_166])]) ).
fof(f940,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl11_33
| ~ spl11_109 ),
inference(resolution,[],[f924,f515]) ).
fof(f1390,plain,
( spl11_164
| ~ spl11_64
| ~ spl11_101 ),
inference(avatar_split_clause,[],[f905,f873,f647,f1388]) ).
fof(f905,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl11_64
| ~ spl11_101 ),
inference(resolution,[],[f874,f648]) ).
fof(f1350,plain,
( spl11_163
| ~ spl11_57
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1094,f1068,f614,f1348]) ).
fof(f614,plain,
( spl11_57
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_57])]) ).
fof(f1094,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl11_57
| ~ spl11_125 ),
inference(superposition,[],[f615,f1069]) ).
fof(f615,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl11_57 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f1346,plain,
( spl11_162
| ~ spl11_58
| ~ spl11_115 ),
inference(avatar_split_clause,[],[f1026,f987,f618,f1344]) ).
fof(f1026,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl11_58
| ~ spl11_115 ),
inference(superposition,[],[f619,f988]) ).
fof(f1342,plain,
( spl11_161
| ~ spl11_58
| ~ spl11_136 ),
inference(avatar_split_clause,[],[f1183,f1175,f618,f1340]) ).
fof(f1183,plain,
( ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK6)),X0))
| ~ spl11_58
| ~ spl11_136 ),
inference(superposition,[],[f619,f1176]) ).
fof(f1338,plain,
( spl11_160
| ~ spl11_57
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f1017,f983,f614,f1336]) ).
fof(f1017,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl11_57
| ~ spl11_114 ),
inference(superposition,[],[f615,f984]) ).
fof(f1334,plain,
( spl11_159
| ~ spl11_35
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f951,f927,f522,f1332]) ).
fof(f951,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl11_35
| ~ spl11_110 ),
inference(resolution,[],[f928,f523]) ).
fof(f1330,plain,
( spl11_158
| ~ spl11_33
| ~ spl11_110 ),
inference(avatar_split_clause,[],[f948,f927,f513,f1328]) ).
fof(f948,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl11_33
| ~ spl11_110 ),
inference(resolution,[],[f928,f515]) ).
fof(f1326,plain,
( spl11_157
| ~ spl11_82
| ~ spl11_104 ),
inference(avatar_split_clause,[],[f909,f885,f748,f1324]) ).
fof(f1324,plain,
( spl11_157
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_157])]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl11_82
| ~ spl11_104 ),
inference(resolution,[],[f886,f749]) ).
fof(f1322,plain,
( spl11_156
| ~ spl11_83
| ~ spl11_101 ),
inference(avatar_split_clause,[],[f903,f873,f752,f1320]) ).
fof(f903,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl11_83
| ~ spl11_101 ),
inference(resolution,[],[f874,f753]) ).
fof(f1311,plain,
( spl11_155
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_122 ),
inference(avatar_split_clause,[],[f1058,f1050,f401,f386,f355,f1309]) ).
fof(f1050,plain,
( spl11_122
<=> ! [X6,X8,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ~ setIn(sK7(X7,X8),index(down,host(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_122])]) ).
fof(f1058,plain,
( ! [X0,X1] :
( ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ setIn(sK7(X1,X0),index(down,host(X0))) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_122 ),
inference(trivial_inequality_removal,[],[f1057]) ).
fof(f1057,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ setIn(sK7(X1,X0),index(down,host(X0))) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_122 ),
inference(forward_demodulation,[],[f1055,f388]) ).
fof(f1055,plain,
( ! [X0,X1] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ setIn(sK7(X1,X0),index(down,host(X0))) )
| ~ spl11_12
| ~ spl11_122 ),
inference(trivial_inequality_removal,[],[f1054]) ).
fof(f1054,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ setIn(sK7(X1,X0),index(down,host(X0))) )
| ~ spl11_12
| ~ spl11_122 ),
inference(superposition,[],[f1051,f403]) ).
fof(f1051,plain,
( ! [X8,X6,X7] :
( host(X6) != index(ldr,host(X6))
| norm != index(status,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ~ setIn(sK7(X7,X8),index(down,host(X8))) )
| ~ spl11_122 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1300,plain,
( spl11_154
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_113 ),
inference(avatar_split_clause,[],[f981,f961,f401,f386,f355,f1298]) ).
fof(f961,plain,
( spl11_113
<=> ! [X6,X8,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| host(X7) != sK7(X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_113])]) ).
fof(f981,plain,
( ! [X0,X1] :
( ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| host(X1) != sK7(X1,X0) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_113 ),
inference(trivial_inequality_removal,[],[f980]) ).
fof(f980,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| host(X1) != sK7(X1,X0) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_113 ),
inference(forward_demodulation,[],[f978,f388]) ).
fof(f978,plain,
( ! [X0,X1] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| host(X1) != sK7(X1,X0) )
| ~ spl11_12
| ~ spl11_113 ),
inference(trivial_inequality_removal,[],[f977]) ).
fof(f977,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| host(X1) != sK7(X1,X0) )
| ~ spl11_12
| ~ spl11_113 ),
inference(superposition,[],[f962,f403]) ).
fof(f962,plain,
( ! [X8,X6,X7] :
( host(X6) != index(ldr,host(X6))
| norm != index(status,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| host(X7) != sK7(X7,X8) )
| ~ spl11_113 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f1289,plain,
( spl11_153
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f975,f957,f401,f386,f355,f1287]) ).
fof(f957,plain,
( spl11_112
<=> ! [X6,X8,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| leq(s(zero),sK7(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_112])]) ).
fof(f975,plain,
( ! [X0,X1] :
( ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| leq(s(zero),sK7(X1,X0)) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_112 ),
inference(trivial_inequality_removal,[],[f974]) ).
fof(f974,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| leq(s(zero),sK7(X1,X0)) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_112 ),
inference(forward_demodulation,[],[f972,f388]) ).
fof(f972,plain,
( ! [X0,X1] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| leq(s(zero),sK7(X1,X0)) )
| ~ spl11_12
| ~ spl11_112 ),
inference(trivial_inequality_removal,[],[f971]) ).
fof(f971,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| leq(s(zero),sK7(X1,X0)) )
| ~ spl11_12
| ~ spl11_112 ),
inference(superposition,[],[f958,f403]) ).
fof(f958,plain,
( ! [X8,X6,X7] :
( host(X6) != index(ldr,host(X6))
| norm != index(status,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| leq(s(zero),sK7(X7,X8)) )
| ~ spl11_112 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f1278,plain,
( spl11_152
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_111 ),
inference(avatar_split_clause,[],[f969,f953,f401,f386,f355,f1276]) ).
fof(f953,plain,
( spl11_111
<=> ! [X6,X8,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ~ leq(host(X8),sK7(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_111])]) ).
fof(f969,plain,
( ! [X0,X1] :
( ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ leq(host(X0),sK7(X1,X0)) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_111 ),
inference(trivial_inequality_removal,[],[f968]) ).
fof(f968,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ leq(host(X0),sK7(X1,X0)) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_111 ),
inference(forward_demodulation,[],[f966,f388]) ).
fof(f966,plain,
( ! [X0,X1] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ leq(host(X0),sK7(X1,X0)) )
| ~ spl11_12
| ~ spl11_111 ),
inference(trivial_inequality_removal,[],[f965]) ).
fof(f965,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_1 != index(status,host(X0))
| ~ elem(m_Down(X1),queue(host(X0)))
| leq(host(X0),host(sK5))
| ~ leq(host(X0),sK7(X1,X0)) )
| ~ spl11_12
| ~ spl11_111 ),
inference(superposition,[],[f954,f403]) ).
fof(f954,plain,
( ! [X8,X6,X7] :
( host(X6) != index(ldr,host(X6))
| norm != index(status,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ~ leq(host(X8),sK7(X7,X8)) )
| ~ spl11_111 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f1270,plain,
( spl11_151
| ~ spl11_78
| ~ spl11_82 ),
inference(avatar_split_clause,[],[f769,f748,f732,f1268]) ).
fof(f1268,plain,
( spl11_151
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_151])]) ).
fof(f769,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl11_78
| ~ spl11_82 ),
inference(resolution,[],[f749,f733]) ).
fof(f1266,plain,
( spl11_150
| ~ spl11_62
| ~ spl11_77 ),
inference(avatar_split_clause,[],[f762,f728,f639,f1264]) ).
fof(f1264,plain,
( spl11_150
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_150])]) ).
fof(f762,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl11_62
| ~ spl11_77 ),
inference(superposition,[],[f640,f729]) ).
fof(f1262,plain,
( spl11_149
| ~ spl11_63
| ~ spl11_77 ),
inference(avatar_split_clause,[],[f761,f728,f643,f1260]) ).
fof(f1260,plain,
( spl11_149
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_149])]) ).
fof(f761,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl11_63
| ~ spl11_77 ),
inference(superposition,[],[f644,f729]) ).
fof(f1254,plain,
( spl11_147
| spl11_148
| ~ spl11_116
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f1171,f1166,f991,f1252,f1248]) ).
fof(f1248,plain,
( spl11_147
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_147])]) ).
fof(f1252,plain,
( spl11_148
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_148])]) ).
fof(f1171,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| setIn(sK6,pids) )
| ~ spl11_116
| ~ spl11_135 ),
inference(resolution,[],[f1167,f992]) ).
fof(f1246,plain,
( spl11_146
| ~ spl11_34
| ~ spl11_83 ),
inference(avatar_split_clause,[],[f771,f752,f518,f1244]) ).
fof(f771,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl11_34
| ~ spl11_83 ),
inference(resolution,[],[f753,f519]) ).
fof(f1238,plain,
( spl11_145
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_91 ),
inference(avatar_split_clause,[],[f834,f822,f401,f386,f355,f1236]) ).
fof(f822,plain,
( spl11_91
<=> ! [X16,X15] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_91])]) ).
fof(f834,plain,
( ! [X0] :
( ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_91 ),
inference(trivial_inequality_removal,[],[f833]) ).
fof(f833,plain,
( ! [X0] :
( norm != norm
| ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_91 ),
inference(forward_demodulation,[],[f831,f388]) ).
fof(f831,plain,
( ! [X0] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_12
| ~ spl11_91 ),
inference(trivial_inequality_removal,[],[f830]) ).
fof(f830,plain,
( ! [X0] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl11_12
| ~ spl11_91 ),
inference(superposition,[],[f823,f403]) ).
fof(f823,plain,
( ! [X16,X15] :
( host(X15) != index(ldr,host(X15))
| norm != index(status,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
| ~ spl11_91 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1232,plain,
( spl11_144
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12
| ~ spl11_90 ),
inference(avatar_split_clause,[],[f820,f812,f401,f386,f355,f1230]) ).
fof(f812,plain,
( spl11_90
<=> ! [X27,X28,X26] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_90])]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_90 ),
inference(trivial_inequality_removal,[],[f819]) ).
fof(f819,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_90 ),
inference(forward_demodulation,[],[f817,f388]) ).
fof(f817,plain,
( ! [X0,X1] :
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl11_12
| ~ spl11_90 ),
inference(trivial_inequality_removal,[],[f816]) ).
fof(f816,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| host(X0) != host(sK5)
| ~ elem(m_Ack(X1,X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl11_12
| ~ spl11_90 ),
inference(superposition,[],[f813,f403]) ).
fof(f813,plain,
( ! [X28,X26,X27] :
( host(X26) != index(ldr,host(X26))
| norm != index(status,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
| ~ spl11_90 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f1226,plain,
( ~ spl11_3
| spl11_143
| ~ spl11_9
| ~ spl11_12
| ~ spl11_89 ),
inference(avatar_split_clause,[],[f810,f790,f401,f386,f1224,f355]) ).
fof(f790,plain,
( spl11_89
<=> ! [X18,X17,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_89])]) ).
fof(f810,plain,
( ! [X0,X1] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK5)
| ~ setIn(sK5,alive) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_89 ),
inference(trivial_inequality_removal,[],[f809]) ).
fof(f809,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| host(X1) != host(sK5)
| ~ setIn(sK5,alive) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_89 ),
inference(forward_demodulation,[],[f807,f388]) ).
fof(f807,plain,
( ! [X0,X1] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| norm != index(status,host(sK5))
| host(X1) != host(sK5)
| ~ setIn(sK5,alive) )
| ~ spl11_12
| ~ spl11_89 ),
inference(trivial_inequality_removal,[],[f806]) ).
fof(f806,plain,
( ! [X0,X1] :
( host(sK5) != host(sK5)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0)))
| norm != index(status,host(sK5))
| host(X1) != host(sK5)
| ~ setIn(sK5,alive) )
| ~ spl11_12
| ~ spl11_89 ),
inference(superposition,[],[f791,f403]) ).
fof(f791,plain,
( ! [X18,X19,X17] :
( host(X19) != index(ldr,host(X19))
| ~ setIn(X17,alive)
| ~ elem(m_Down(X18),queue(host(X17)))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
| ~ spl11_89 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1218,plain,
( spl11_142
| ~ spl11_34
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f688,f647,f518,f1216]) ).
fof(f688,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl11_34
| ~ spl11_64 ),
inference(resolution,[],[f648,f519]) ).
fof(f1211,plain,
( spl11_141
| ~ spl11_117
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f1170,f1166,f995,f1209]) ).
fof(f1209,plain,
( spl11_141
<=> ! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_141])]) ).
fof(f995,plain,
( spl11_117
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_117])]) ).
fof(f1170,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),sK2)
| setIn(X0,pids) )
| ~ spl11_117
| ~ spl11_135 ),
inference(resolution,[],[f1167,f996]) ).
fof(f996,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl11_117 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f1207,plain,
( ~ spl11_3
| spl11_140
| ~ spl11_9
| ~ spl11_12
| ~ spl11_74 ),
inference(avatar_split_clause,[],[f718,f701,f401,f386,f1205,f355]) ).
fof(f701,plain,
( spl11_74
<=> ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_74])]) ).
fof(f718,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(sK5,alive) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_74 ),
inference(trivial_inequality_removal,[],[f717]) ).
fof(f717,plain,
( ! [X0] :
( norm != norm
| ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0)))
| ~ setIn(sK5,alive) )
| ~ spl11_9
| ~ spl11_12
| ~ spl11_74 ),
inference(forward_demodulation,[],[f715,f388]) ).
fof(f715,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0)))
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive) )
| ~ spl11_12
| ~ spl11_74 ),
inference(trivial_inequality_removal,[],[f714]) ).
fof(f714,plain,
( ! [X0] :
( host(sK5) != host(sK5)
| ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0)))
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive) )
| ~ spl11_12
| ~ spl11_74 ),
inference(superposition,[],[f702,f403]) ).
fof(f702,plain,
( ! [X34,X35] :
( host(X35) != index(ldr,host(X35))
| ~ setIn(X34,alive)
| ~ setIn(host(X35),index(down,host(X34)))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
| ~ spl11_74 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1203,plain,
( spl11_139
| ~ spl11_23
| ~ spl11_103 ),
inference(avatar_split_clause,[],[f908,f881,f456,f1201]) ).
fof(f908,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl11_23
| ~ spl11_103 ),
inference(resolution,[],[f882,f457]) ).
fof(f1199,plain,
( spl11_138
| ~ spl11_36
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f767,f740,f526,f1197]) ).
fof(f767,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl11_36
| ~ spl11_80 ),
inference(resolution,[],[f741,f527]) ).
fof(f1181,plain,
( spl11_137
| ~ spl11_13
| ~ spl11_128 ),
inference(avatar_split_clause,[],[f1114,f1081,f406,f1179]) ).
fof(f1114,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK6)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl11_13
| ~ spl11_128 ),
inference(superposition,[],[f1082,f408]) ).
fof(f1177,plain,
( spl11_136
| ~ spl11_13
| ~ spl11_125 ),
inference(avatar_split_clause,[],[f1091,f1068,f406,f1175]) ).
fof(f1091,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK6)),X0)
| ~ spl11_13
| ~ spl11_125 ),
inference(superposition,[],[f1069,f408]) ).
fof(f1168,plain,
( spl11_135
| ~ spl11_13
| ~ spl11_106 ),
inference(avatar_split_clause,[],[f913,f893,f406,f1166]) ).
fof(f913,plain,
( ! [X0] :
( elem(X0,queue(host(sK6)))
| ~ elem(X0,sK2) )
| ~ spl11_13
| ~ spl11_106 ),
inference(superposition,[],[f894,f408]) ).
fof(f1152,plain,
spl11_134,
inference(avatar_split_clause,[],[f285,f1150]) ).
fof(f285,plain,
! [X3,X0,X1] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(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,[sK10])],[f169,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1)))
& pidElem(sK10(X0,X1))
& pidElem(X0)
& elem(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1148,plain,
spl11_133,
inference(avatar_split_clause,[],[f276,f1146]) ).
fof(f276,plain,
! [X3,X0,X1] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1)))
& pidElem(sK9(X0,X1))
& pidElem(X0)
& elem(sK9(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,[sK9])],[f163,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1)))
& pidElem(sK9(X0,X1))
& pidElem(X0)
& elem(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1137,plain,
spl11_132,
inference(avatar_split_clause,[],[f308,f1135]) ).
fof(f1135,plain,
( spl11_132
<=> ! [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,[spl11_132])]) ).
fof(f308,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f1127,plain,
spl11_131,
inference(avatar_split_clause,[],[f289,f1125]) ).
fof(f289,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK10(X0,X1))) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1123,plain,
spl11_130,
inference(avatar_split_clause,[],[f280,f1121]) ).
fof(f280,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1119,plain,
spl11_129,
inference(avatar_split_clause,[],[f239,f1117]) ).
fof(f239,plain,
! [X0] :
( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f153,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK8(X0)) = X0
| m_Halt(sK8(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
| ~ pidElem(X0) ) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f1083,plain,
spl11_128,
inference(avatar_split_clause,[],[f312,f1081]) ).
fof(f312,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f1079,plain,
spl11_127,
inference(avatar_split_clause,[],[f309,f1077]) ).
fof(f309,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f1075,plain,
( spl11_126
| ~ spl11_13
| ~ spl11_60 ),
inference(avatar_split_clause,[],[f683,f631,f406,f1072]) ).
fof(f1072,plain,
( spl11_126
<=> m_Down(sK4) = head(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_126])]) ).
fof(f683,plain,
( m_Down(sK4) = head(queue(host(sK6)))
| ~ spl11_13
| ~ spl11_60 ),
inference(superposition,[],[f632,f408]) ).
fof(f1070,plain,
spl11_125,
inference(avatar_split_clause,[],[f305,f1068]) ).
fof(f305,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f1066,plain,
spl11_124,
inference(avatar_split_clause,[],[f294,f1064]) ).
fof(f294,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f1062,plain,
spl11_123,
inference(avatar_split_clause,[],[f261,f1060]) ).
fof(f1060,plain,
( spl11_123
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_123])]) ).
fof(f261,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
fof(f1052,plain,
spl11_122,
inference(avatar_split_clause,[],[f200,f1050]) ).
fof(f200,plain,
! [X8,X6,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ~ setIn(sK7(X7,X8),index(down,host(X8))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& setIn(sK6,alive)
& ~ leq(s(host(sK3)),host(sK5))
& host(sK3) = host(sK6)
& host(sK3) != host(sK5)
& ~ leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X5] :
( host(sK4) = X5
| setIn(X5,index(down,host(sK3)))
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ( host(X7) != sK7(X7,X8)
& ~ setIn(sK7(X7,X8),index(down,host(X8)))
& leq(s(zero),sK7(X7,X8))
& ~ leq(host(X8),sK7(X7,X8)) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f146,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(X1)),host(X3))
& host(X1) = host(X4) )
& host(X3) != host(X1) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X5] :
( host(X2) = X5
| setIn(X5,index(down,host(X1)))
| ~ leq(s(zero),X5)
| leq(host(X1),X5) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) )
=> ( ? [X3] :
( ? [X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK3)),host(X3))
& host(X4) = host(sK3) )
& host(X3) != host(sK3) )
& ~ leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X5] :
( host(sK4) = X5
| setIn(X5,index(down,host(sK3)))
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ? [X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK3)),host(X3))
& host(X4) = host(sK3) )
& host(X3) != host(sK3) )
=> ( ? [X4] :
( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK3)),host(sK5))
& host(X4) = host(sK3) )
& host(sK3) != host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X4] :
( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& setIn(X4,alive)
& ~ leq(s(host(sK3)),host(sK5))
& host(X4) = host(sK3) )
=> ( norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& setIn(sK6,alive)
& ~ leq(s(host(sK3)),host(sK5))
& host(sK3) = host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X7,X8] :
( ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) )
=> ( host(X7) != sK7(X7,X8)
& ~ setIn(sK7(X7,X8),index(down,host(X8)))
& leq(s(zero),sK7(X7,X8))
& ~ leq(host(X8),sK7(X7,X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& setIn(X4,alive)
& ~ leq(s(host(X1)),host(X3))
& host(X1) = host(X4) )
& host(X3) != host(X1) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X5] :
( host(X2) = X5
| setIn(X5,index(down,host(X1)))
| ~ leq(s(zero),X5)
| leq(host(X1),X5) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X6,X7,X8] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ? [X9] :
( host(X7) != X9
& ~ setIn(X9,index(down,host(X8)))
& leq(s(zero),X9)
& ~ leq(host(X8),X9) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10))
| ~ setIn(X10,alive)
| elec_2 != index(status,host(X12))
| host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) )
& ! [X15,X16] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27,X28] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) )
& ! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) )
& ! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) )
& ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| ( elec_2 != index(status,host(X38))
& elec_1 != index(status,host(X38)) ) )
& ! [X39,X40] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) )
& ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 )
& ! [X43,X44] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( norm = index(status,host(X44))
& host(X44) = index(ldr,host(X44))
& setIn(X44,alive)
& setIn(X45,alive)
& ~ leq(s(host(X2)),host(X44))
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( norm = index(status,host(X44))
& host(X44) = index(ldr,host(X44))
& setIn(X44,alive)
& setIn(X45,alive)
& ~ leq(s(host(X2)),host(X44))
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X43] :
( host(X3) = X43
| setIn(X43,index(down,host(X2)))
| ~ leq(s(zero),X43)
| leq(host(X2),X43) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X6))
| ~ elem(m_Down(X5),queue(host(X6)))
| leq(host(X6),host(X4))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10] :
( norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| elec_2 != index(status,host(X10))
| host(X8) != host(X9)
| ~ elem(m_Down(X9),queue(host(X10)))
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( ~ leq(index(pendack,host(X11)),index(pendack,host(X12)))
| elec_2 != index(status,host(X12))
| elec_2 != index(status,host(X11))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(host(X11),host(X12)) )
& ! [X13,X14] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X14))
| ~ setIn(X14,alive)
| leq(index(pendack,host(X14)),host(X13)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X15,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| host(X16) != host(X17)
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( leq(index(pendack,host(X20)),host(X18))
| elec_2 != index(status,host(X20))
| host(X20) != host(X19)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22,X23] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X21))
| host(X23) != host(X22)
| ~ setIn(X23,alive)
| ~ setIn(X21,alive) )
& ! [X24,X25,X26] :
( norm != index(status,host(X24))
| host(X24) != index(ldr,host(X24))
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| ~ elem(m_Ack(X26,X25),queue(host(X26)))
| ~ setIn(X26,alive) )
& ! [X27,X28] :
( leq(index(pendack,host(X28)),host(X27))
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X27))
| ~ setIn(X28,alive)
| ~ setIn(X27,alive)
| leq(host(X27),host(X28)) )
& ! [X29,X30,X31] :
( ~ elem(m_Down(X30),queue(host(X29)))
| elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(host(X31),host(X29)) )
& ! [X32,X33] :
( ~ setIn(host(X33),index(down,host(X32)))
| ~ setIn(X32,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(index(pendack,host(X35)),host(X34))
| elec_2 != index(status,host(X35))
| ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive) )
& ! [X36] :
( index(elid,host(X36)) = X36
| ~ setIn(X36,alive)
| ( elec_2 != index(status,host(X36))
& elec_1 != index(status,host(X36)) ) )
& ! [X37,X38] :
( ~ elem(m_Ack(X37,X38),queue(host(X37)))
| elec_2 != index(status,host(X38))
| ~ setIn(X38,alive) )
& ! [X39,X40] :
( ~ setIn(X40,alive)
| ~ setIn(X39,alive)
| host(X39) != host(X40)
| X39 = X40 )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Ldr(X42),queue(host(X41))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6] :
( ( elec_1 = index(status,host(X6))
& elem(m_Down(X5),queue(host(X6)))
& ~ leq(host(X6),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X6),X7) )
=> ( host(X5) = X7
| setIn(X7,index(down,host(X6))) ) ) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X8,X9,X10] :
( ( elec_2 = index(status,host(X10))
& host(X8) = host(X9)
& elem(m_Down(X9),queue(host(X10)))
& setIn(X10,alive) )
=> ~ ( norm = index(status,host(X8))
& host(X8) = index(ldr,host(X8))
& setIn(X8,alive) ) )
& ! [X11,X12] :
( ( elec_2 = index(status,host(X12))
& elec_2 = index(status,host(X11))
& setIn(X12,alive)
& setIn(X11,alive)
& ~ leq(host(X11),host(X12)) )
=> ~ leq(index(pendack,host(X11)),index(pendack,host(X12))) )
& ! [X13,X14] :
( ( elec_2 = index(status,host(X14))
& setIn(X14,alive)
& ~ leq(index(pendack,host(X14)),host(X13)) )
=> ~ ( norm = index(status,host(X13))
& host(X13) = index(ldr,host(X13))
& setIn(X13,alive) ) )
& ! [X15,X16,X17] :
( ( host(X17) = index(ldr,host(X17))
& norm = index(status,host(X17))
& host(X16) = host(X17)
& setIn(X17,alive) )
=> ~ ( elem(m_Down(X16),queue(host(X15)))
& setIn(X15,alive) ) )
& ! [X18,X19,X20] :
( ( elec_2 = index(status,host(X20))
& host(X20) = host(X19)
& elem(m_Down(X19),queue(host(X18)))
& setIn(X20,alive)
& setIn(X18,alive) )
=> leq(index(pendack,host(X20)),host(X18)) )
& ! [X21,X22,X23] :
( ( elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X21))
& host(X23) = host(X22)
& setIn(X23,alive)
& setIn(X21,alive) )
=> ~ elem(m_Ack(X21,X22),queue(host(X21))) )
& ! [X24,X25,X26] :
( ( host(X24) = host(X25)
& elem(m_Ack(X26,X25),queue(host(X26)))
& setIn(X26,alive) )
=> ~ ( norm = index(status,host(X24))
& host(X24) = index(ldr,host(X24))
& setIn(X24,alive) ) )
& ! [X27,X28] :
( ( elec_2 = index(status,host(X28))
& elec_2 = index(status,host(X27))
& setIn(X28,alive)
& setIn(X27,alive)
& ~ leq(host(X27),host(X28)) )
=> leq(index(pendack,host(X28)),host(X27)) )
& ! [X29,X30,X31] :
( ( elec_2 = index(status,host(X31))
& host(X31) = host(X30)
& setIn(X31,alive)
& setIn(X29,alive)
& ~ leq(host(X31),host(X29)) )
=> ~ elem(m_Down(X30),queue(host(X29))) )
& ! [X32,X33] :
( ( host(X33) = index(ldr,host(X33))
& norm = index(status,host(X33))
& setIn(X33,alive) )
=> ~ ( setIn(host(X33),index(down,host(X32)))
& setIn(X32,alive) ) )
& ! [X34,X35] :
( ( elec_2 = index(status,host(X35))
& setIn(host(X35),index(down,host(X34)))
& setIn(X35,alive)
& setIn(X34,alive) )
=> leq(index(pendack,host(X35)),host(X34)) )
& ! [X36] :
( ( setIn(X36,alive)
& ( elec_2 = index(status,host(X36))
| elec_1 = index(status,host(X36)) ) )
=> index(elid,host(X36)) = X36 )
& ! [X37,X38] :
( ( elec_2 = index(status,host(X38))
& setIn(X38,alive) )
=> ~ elem(m_Ack(X37,X38),queue(host(X37))) )
& ! [X39,X40] :
( ( host(X39) = host(X40)
& X39 != X40 )
=> ( ~ setIn(X40,alive)
| ~ setIn(X39,alive) ) )
& ! [X41,X42] :
( elem(m_Ldr(X42),queue(host(X41)))
=> ~ leq(host(X41),host(X42)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ( elec_1 = index(status,host(X2))
& ! [X43] :
( ( leq(s(zero),X43)
& ~ leq(host(X2),X43) )
=> ( host(X3) = X43
| setIn(X43,index(down,host(X2))) ) ) )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X44] :
( host(X2) != host(X44)
=> ! [X45] :
( host(X2) = host(X45)
=> ( ( setIn(X45,alive)
& ~ leq(s(host(X2)),host(X44)) )
=> ~ ( norm = index(status,host(X44))
& host(X44) = index(ldr,host(X44))
& setIn(X44,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elem(m_Down(X14),queue(host(X13)))
& ~ leq(host(X13),host(X6))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16] :
( host(X4) = host(X16)
=> ( ( setIn(X16,alive)
& ~ leq(s(host(X4)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& elem(m_Down(X14),queue(host(X13)))
& ~ leq(host(X13),host(X6))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X14),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X13,alive) )
=> ~ ( setIn(host(X13),index(down,host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16] :
( host(X4) = host(X16)
=> ( ( setIn(X16,alive)
& ~ leq(s(host(X4)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f1013,plain,
spl11_121,
inference(avatar_split_clause,[],[f316,f1011]) ).
fof(f1011,plain,
( spl11_121
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_121])]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f1009,plain,
spl11_120,
inference(avatar_split_clause,[],[f315,f1007]) ).
fof(f1007,plain,
( spl11_120
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_120])]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f1005,plain,
spl11_119,
inference(avatar_split_clause,[],[f290,f1003]) ).
fof(f290,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK10(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1001,plain,
spl11_118,
inference(avatar_split_clause,[],[f281,f999]) ).
fof(f281,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK9(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f997,plain,
spl11_117,
inference(avatar_split_clause,[],[f263,f995]) ).
fof(f263,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f993,plain,
spl11_116,
inference(avatar_split_clause,[],[f262,f991]) ).
fof(f262,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f989,plain,
spl11_115,
inference(avatar_split_clause,[],[f238,f987]) ).
fof(f238,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3] :
( cons(head(X3),tail(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(f985,plain,
spl11_114,
inference(avatar_split_clause,[],[f237,f983]) ).
fof(f237,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f963,plain,
spl11_113,
inference(avatar_split_clause,[],[f201,f961]) ).
fof(f201,plain,
! [X8,X6,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| host(X7) != sK7(X7,X8) ),
inference(cnf_transformation,[],[f151]) ).
fof(f959,plain,
spl11_112,
inference(avatar_split_clause,[],[f199,f957]) ).
fof(f199,plain,
! [X8,X6,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| leq(s(zero),sK7(X7,X8)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f955,plain,
spl11_111,
inference(avatar_split_clause,[],[f198,f953]) ).
fof(f198,plain,
! [X8,X6,X7] :
( norm != index(status,host(X6))
| host(X6) != index(ldr,host(X6))
| ~ setIn(X6,alive)
| elec_1 != index(status,host(X8))
| ~ elem(m_Down(X7),queue(host(X8)))
| leq(host(X8),host(X6))
| ~ leq(host(X8),sK7(X7,X8)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f929,plain,
spl11_110,
inference(avatar_split_clause,[],[f307,f927]) ).
fof(f307,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f925,plain,
spl11_109,
inference(avatar_split_clause,[],[f297,f923]) ).
fof(f297,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f921,plain,
spl11_108,
inference(avatar_split_clause,[],[f293,f919]) ).
fof(f293,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f917,plain,
spl11_107,
inference(avatar_split_clause,[],[f284,f915]) ).
fof(f284,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f895,plain,
spl11_106,
inference(avatar_split_clause,[],[f314,f893]) ).
fof(f314,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f891,plain,
spl11_105,
inference(avatar_split_clause,[],[f311,f889]) ).
fof(f311,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f887,plain,
spl11_104,
inference(avatar_split_clause,[],[f306,f885]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f883,plain,
spl11_103,
inference(avatar_split_clause,[],[f286,f881]) ).
fof(f286,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f879,plain,
spl11_102,
inference(avatar_split_clause,[],[f277,f877]) ).
fof(f277,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f875,plain,
spl11_101,
inference(avatar_split_clause,[],[f275,f873]) ).
fof(f275,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f871,plain,
spl11_100,
inference(avatar_split_clause,[],[f274,f869]) ).
fof(f274,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f867,plain,
spl11_99,
inference(avatar_split_clause,[],[f272,f865]) ).
fof(f272,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f863,plain,
spl11_98,
inference(avatar_split_clause,[],[f270,f861]) ).
fof(f861,plain,
( spl11_98
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_98])]) ).
fof(f270,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f859,plain,
spl11_97,
inference(avatar_split_clause,[],[f268,f857]) ).
fof(f857,plain,
( spl11_97
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_97])]) ).
fof(f268,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f855,plain,
spl11_96,
inference(avatar_split_clause,[],[f266,f853]) ).
fof(f853,plain,
( spl11_96
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_96])]) ).
fof(f266,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f851,plain,
spl11_95,
inference(avatar_split_clause,[],[f264,f849]) ).
fof(f849,plain,
( spl11_95
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_95])]) ).
fof(f264,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f843,plain,
( spl11_93
| ~ spl11_94
| ~ spl11_13
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f695,f651,f406,f840,f836]) ).
fof(f695,plain,
( ~ ordered(queue(host(sK6)))
| ordered(sK2)
| ~ spl11_13
| ~ spl11_65 ),
inference(superposition,[],[f652,f408]) ).
fof(f828,plain,
spl11_92,
inference(avatar_split_clause,[],[f196,f826]) ).
fof(f826,plain,
( spl11_92
<=> ! [X13,X14] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_92])]) ).
fof(f196,plain,
! [X14,X13] :
( ~ leq(index(pendack,host(X13)),index(pendack,host(X14)))
| elec_2 != index(status,host(X14))
| elec_2 != index(status,host(X13))
| ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| leq(host(X13),host(X14)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f824,plain,
spl11_91,
inference(avatar_split_clause,[],[f195,f822]) ).
fof(f195,plain,
! [X16,X15] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X16))
| ~ setIn(X16,alive)
| leq(index(pendack,host(X16)),host(X15)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f814,plain,
spl11_90,
inference(avatar_split_clause,[],[f191,f812]) ).
fof(f191,plain,
! [X28,X26,X27] :
( norm != index(status,host(X26))
| host(X26) != index(ldr,host(X26))
| ~ setIn(X26,alive)
| host(X26) != host(X27)
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ~ setIn(X28,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f792,plain,
spl11_89,
inference(avatar_split_clause,[],[f194,f790]) ).
fof(f194,plain,
! [X18,X19,X17] :
( ~ elem(m_Down(X18),queue(host(X17)))
| ~ setIn(X17,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| host(X19) != host(X18)
| ~ setIn(X19,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f788,plain,
( spl11_88
| spl11_11
| ~ spl11_64 ),
inference(avatar_split_clause,[],[f687,f647,f396,f785]) ).
fof(f687,plain,
( leq(host(sK5),s(host(sK6)))
| spl11_11
| ~ spl11_64 ),
inference(resolution,[],[f648,f398]) ).
fof(f783,plain,
spl11_87,
inference(avatar_split_clause,[],[f193,f781]) ).
fof(f781,plain,
( spl11_87
<=> ! [X22,X20,X21] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_87])]) ).
fof(f193,plain,
! [X21,X22,X20] :
( leq(index(pendack,host(X22)),host(X20))
| elec_2 != index(status,host(X22))
| host(X21) != host(X22)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ setIn(X22,alive)
| ~ setIn(X20,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f779,plain,
spl11_86,
inference(avatar_split_clause,[],[f192,f777]) ).
fof(f777,plain,
( spl11_86
<=> ! [X24,X25,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_86])]) ).
fof(f192,plain,
! [X24,X25,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f775,plain,
spl11_85,
inference(avatar_split_clause,[],[f190,f773]) ).
fof(f773,plain,
( spl11_85
<=> ! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_85])]) ).
fof(f190,plain,
! [X29,X30] :
( leq(index(pendack,host(X30)),host(X29))
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X29))
| ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| leq(host(X29),host(X30)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f759,plain,
( spl11_84
| ~ spl11_13
| ~ spl11_61 ),
inference(avatar_split_clause,[],[f684,f635,f406,f756]) ).
fof(f756,plain,
( spl11_84
<=> sK2 = tail(queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_84])]) ).
fof(f684,plain,
( sK2 = tail(queue(host(sK6)))
| ~ spl11_13
| ~ spl11_61 ),
inference(superposition,[],[f636,f408]) ).
fof(f754,plain,
spl11_83,
inference(avatar_split_clause,[],[f296,f752]) ).
fof(f296,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f750,plain,
spl11_82,
inference(avatar_split_clause,[],[f292,f748]) ).
fof(f292,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f746,plain,
spl11_81,
inference(avatar_split_clause,[],[f288,f744]) ).
fof(f288,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK10(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f742,plain,
spl11_80,
inference(avatar_split_clause,[],[f283,f740]) ).
fof(f283,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f738,plain,
spl11_79,
inference(avatar_split_clause,[],[f279,f736]) ).
fof(f279,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f734,plain,
spl11_78,
inference(avatar_split_clause,[],[f259,f732]) ).
fof(f259,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f730,plain,
spl11_77,
inference(avatar_split_clause,[],[f234,f728]) ).
fof(f234,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f722,plain,
spl11_76,
inference(avatar_split_clause,[],[f189,f720]) ).
fof(f720,plain,
( spl11_76
<=> ! [X32,X33,X31] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_76])]) ).
fof(f189,plain,
! [X31,X32,X33] :
( ~ elem(m_Down(X32),queue(host(X31)))
| elec_2 != index(status,host(X33))
| host(X33) != host(X32)
| ~ setIn(X33,alive)
| ~ setIn(X31,alive)
| leq(host(X33),host(X31)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f712,plain,
( spl11_75
| ~ spl11_13
| ~ spl11_58 ),
inference(avatar_split_clause,[],[f629,f618,f406,f709]) ).
fof(f629,plain,
( elem(m_Down(sK4),queue(host(sK6)))
| ~ spl11_13
| ~ spl11_58 ),
inference(superposition,[],[f619,f408]) ).
fof(f703,plain,
spl11_74,
inference(avatar_split_clause,[],[f188,f701]) ).
fof(f188,plain,
! [X34,X35] :
( ~ setIn(host(X35),index(down,host(X34)))
| ~ setIn(X34,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| ~ setIn(X35,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f699,plain,
spl11_73,
inference(avatar_split_clause,[],[f187,f697]) ).
fof(f697,plain,
( spl11_73
<=> ! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_73])]) ).
fof(f187,plain,
! [X36,X37] :
( leq(index(pendack,host(X37)),host(X36))
| elec_2 != index(status,host(X37))
| ~ setIn(host(X37),index(down,host(X36)))
| ~ setIn(X37,alive)
| ~ setIn(X36,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f682,plain,
spl11_72,
inference(avatar_split_clause,[],[f304,f680]) ).
fof(f680,plain,
( spl11_72
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_72])]) ).
fof(f304,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f678,plain,
spl11_71,
inference(avatar_split_clause,[],[f303,f676]) ).
fof(f676,plain,
( spl11_71
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_71])]) ).
fof(f303,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f674,plain,
spl11_70,
inference(avatar_split_clause,[],[f302,f672]) ).
fof(f672,plain,
( spl11_70
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_70])]) ).
fof(f302,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f670,plain,
spl11_69,
inference(avatar_split_clause,[],[f301,f668]) ).
fof(f668,plain,
( spl11_69
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_69])]) ).
fof(f301,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f666,plain,
spl11_68,
inference(avatar_split_clause,[],[f300,f664]) ).
fof(f664,plain,
( spl11_68
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_68])]) ).
fof(f300,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f662,plain,
( ~ spl11_67
| ~ spl11_13
| ~ spl11_53 ),
inference(avatar_split_clause,[],[f627,f596,f406,f659]) ).
fof(f627,plain,
( q_nil != queue(host(sK6))
| ~ spl11_13
| ~ spl11_53 ),
inference(superposition,[],[f597,f408]) ).
fof(f657,plain,
spl11_66,
inference(avatar_split_clause,[],[f291,f655]) ).
fof(f291,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f653,plain,
spl11_65,
inference(avatar_split_clause,[],[f282,f651]) ).
fof(f282,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f649,plain,
spl11_64,
inference(avatar_split_clause,[],[f258,f647]) ).
fof(f258,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f645,plain,
spl11_63,
inference(avatar_split_clause,[],[f257,f643]) ).
fof(f257,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
fof(f641,plain,
spl11_62,
inference(avatar_split_clause,[],[f256,f639]) ).
fof(f256,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f637,plain,
spl11_61,
inference(avatar_split_clause,[],[f255,f635]) ).
fof(f255,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f633,plain,
spl11_60,
inference(avatar_split_clause,[],[f254,f631]) ).
fof(f254,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f626,plain,
( spl11_59
| ~ spl11_37
| ~ spl11_54 ),
inference(avatar_split_clause,[],[f604,f600,f530,f623]) ).
fof(f530,plain,
( spl11_37
<=> sK6 = index(elid,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_37])]) ).
fof(f600,plain,
( spl11_54
<=> sK3 = index(elid,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_54])]) ).
fof(f604,plain,
( sK3 = sK6
| ~ spl11_37
| ~ spl11_54 ),
inference(forward_demodulation,[],[f602,f532]) ).
fof(f532,plain,
( sK6 = index(elid,host(sK6))
| ~ spl11_37 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f602,plain,
( sK3 = index(elid,host(sK6))
| ~ spl11_54 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f620,plain,
spl11_58,
inference(avatar_split_clause,[],[f329,f618]) ).
fof(f329,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f313]) ).
fof(f313,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f616,plain,
spl11_57,
inference(avatar_split_clause,[],[f328,f614]) ).
fof(f328,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f310]) ).
fof(f310,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f612,plain,
spl11_56,
inference(avatar_split_clause,[],[f287,f610]) ).
fof(f287,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f608,plain,
spl11_55,
inference(avatar_split_clause,[],[f278,f606]) ).
fof(f278,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f603,plain,
( spl11_54
| ~ spl11_1
| ~ spl11_5
| ~ spl11_10
| ~ spl11_29 ),
inference(avatar_split_clause,[],[f500,f484,f391,f365,f345,f600]) ).
fof(f484,plain,
( spl11_29
<=> ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| elec_1 != index(status,host(X38)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_29])]) ).
fof(f500,plain,
( ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK6))
| ~ spl11_5
| ~ spl11_10
| ~ spl11_29 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f499,plain,
( elec_1 != elec_1
| ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK6))
| ~ spl11_5
| ~ spl11_10
| ~ spl11_29 ),
inference(forward_demodulation,[],[f495,f393]) ).
fof(f495,plain,
( elec_1 != index(status,host(sK6))
| ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK6))
| ~ spl11_5
| ~ spl11_29 ),
inference(superposition,[],[f485,f367]) ).
fof(f485,plain,
( ! [X38] :
( elec_1 != index(status,host(X38))
| ~ setIn(X38,alive)
| index(elid,host(X38)) = X38 )
| ~ spl11_29 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f598,plain,
spl11_53,
inference(avatar_split_clause,[],[f253,f596]) ).
fof(f253,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X4,X3] : cons(X4,X3) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f594,plain,
spl11_52,
inference(avatar_split_clause,[],[f252,f592]) ).
fof(f252,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X5,X3] : snoc(X3,X5) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f590,plain,
spl11_51,
inference(avatar_split_clause,[],[f251,f588]) ).
fof(f251,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f586,plain,
spl11_50,
inference(avatar_split_clause,[],[f250,f584]) ).
fof(f250,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f582,plain,
spl11_49,
inference(avatar_split_clause,[],[f249,f580]) ).
fof(f249,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f578,plain,
spl11_48,
inference(avatar_split_clause,[],[f248,f576]) ).
fof(f248,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f574,plain,
spl11_47,
inference(avatar_split_clause,[],[f247,f572]) ).
fof(f572,plain,
( spl11_47
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_47])]) ).
fof(f247,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f570,plain,
spl11_46,
inference(avatar_split_clause,[],[f246,f568]) ).
fof(f568,plain,
( spl11_46
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_46])]) ).
fof(f246,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f566,plain,
spl11_45,
inference(avatar_split_clause,[],[f245,f564]) ).
fof(f564,plain,
( spl11_45
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_45])]) ).
fof(f245,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f562,plain,
spl11_44,
inference(avatar_split_clause,[],[f244,f560]) ).
fof(f560,plain,
( spl11_44
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_44])]) ).
fof(f244,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f558,plain,
spl11_43,
inference(avatar_split_clause,[],[f243,f556]) ).
fof(f556,plain,
( spl11_43
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_43])]) ).
fof(f243,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f554,plain,
spl11_42,
inference(avatar_split_clause,[],[f242,f552]) ).
fof(f552,plain,
( spl11_42
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_42])]) ).
fof(f242,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f550,plain,
spl11_41,
inference(avatar_split_clause,[],[f233,f548]) ).
fof(f233,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f546,plain,
spl11_40,
inference(avatar_split_clause,[],[f232,f544]) ).
fof(f232,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(f542,plain,
spl11_39,
inference(avatar_split_clause,[],[f231,f540]) ).
fof(f231,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f538,plain,
spl11_38,
inference(avatar_split_clause,[],[f334,f536]) ).
fof(f334,plain,
! [X5] :
( leq(host(sK6),X5)
| setIn(X5,index(down,host(sK6)))
| host(sK4) = X5
| ~ leq(s(zero),X5) ),
inference(forward_demodulation,[],[f333,f211]) ).
fof(f211,plain,
host(sK3) = host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f333,plain,
! [X5] :
( setIn(X5,index(down,host(sK6)))
| host(sK4) = X5
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) ),
inference(forward_demodulation,[],[f207,f211]) ).
fof(f207,plain,
! [X5] :
( host(sK4) = X5
| setIn(X5,index(down,host(sK3)))
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) ),
inference(cnf_transformation,[],[f151]) ).
fof(f533,plain,
( spl11_37
| ~ spl11_2
| ~ spl11_10
| ~ spl11_29 ),
inference(avatar_split_clause,[],[f498,f484,f391,f350,f530]) ).
fof(f498,plain,
( ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6))
| ~ spl11_10
| ~ spl11_29 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f497,plain,
( elec_1 != elec_1
| ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6))
| ~ spl11_10
| ~ spl11_29 ),
inference(superposition,[],[f485,f393]) ).
fof(f528,plain,
spl11_36,
inference(avatar_split_clause,[],[f343,f526]) ).
fof(f343,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f236,f234]) ).
fof(f236,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f524,plain,
spl11_35,
inference(avatar_split_clause,[],[f230,f522]) ).
fof(f230,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f520,plain,
spl11_34,
inference(avatar_split_clause,[],[f229,f518]) ).
fof(f229,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f516,plain,
spl11_33,
inference(avatar_split_clause,[],[f225,f513]) ).
fof(f225,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
fof(f507,plain,
spl11_32,
inference(avatar_split_clause,[],[f184,f505]) ).
fof(f505,plain,
( spl11_32
<=> ! [X40,X39] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_32])]) ).
fof(f184,plain,
! [X40,X39] :
( ~ elem(m_Ack(X39,X40),queue(host(X39)))
| elec_2 != index(status,host(X40))
| ~ setIn(X40,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f494,plain,
spl11_31,
inference(avatar_split_clause,[],[f186,f492]) ).
fof(f492,plain,
( spl11_31
<=> ! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| elec_2 != index(status,host(X38)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_31])]) ).
fof(f186,plain,
! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| elec_2 != index(status,host(X38)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f490,plain,
( ~ spl11_1
| spl11_30
| ~ spl11_5
| ~ spl11_28 ),
inference(avatar_split_clause,[],[f479,f476,f365,f488,f345]) ).
fof(f476,plain,
( spl11_28
<=> ! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_28])]) ).
fof(f479,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(sK3,alive)
| ~ setIn(X0,alive)
| sK3 = X0 )
| ~ spl11_5
| ~ spl11_28 ),
inference(superposition,[],[f477,f367]) ).
fof(f477,plain,
( ! [X41,X42] :
( host(X41) != host(X42)
| ~ setIn(X41,alive)
| ~ setIn(X42,alive)
| X41 = X42 )
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f486,plain,
spl11_29,
inference(avatar_split_clause,[],[f185,f484]) ).
fof(f185,plain,
! [X38] :
( index(elid,host(X38)) = X38
| ~ setIn(X38,alive)
| elec_1 != index(status,host(X38)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f478,plain,
spl11_28,
inference(avatar_split_clause,[],[f183,f476]) ).
fof(f183,plain,
! [X41,X42] :
( ~ setIn(X42,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X42)
| X41 = X42 ),
inference(cnf_transformation,[],[f151]) ).
fof(f474,plain,
spl11_27,
inference(avatar_split_clause,[],[f318,f472]) ).
fof(f318,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f470,plain,
spl11_26,
inference(avatar_split_clause,[],[f317,f468]) ).
fof(f317,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f466,plain,
spl11_25,
inference(avatar_split_clause,[],[f228,f464]) ).
fof(f228,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f462,plain,
spl11_24,
inference(avatar_split_clause,[],[f227,f460]) ).
fof(f460,plain,
( spl11_24
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
fof(f227,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f458,plain,
spl11_23,
inference(avatar_split_clause,[],[f226,f456]) ).
fof(f226,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
fof(f454,plain,
~ spl11_22,
inference(avatar_split_clause,[],[f224,f451]) ).
fof(f451,plain,
( spl11_22
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_22])]) ).
fof(f224,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f449,plain,
~ spl11_21,
inference(avatar_split_clause,[],[f223,f446]) ).
fof(f446,plain,
( spl11_21
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f223,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
fof(f444,plain,
~ spl11_20,
inference(avatar_split_clause,[],[f222,f441]) ).
fof(f441,plain,
( spl11_20
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f222,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
fof(f439,plain,
~ spl11_19,
inference(avatar_split_clause,[],[f221,f436]) ).
fof(f436,plain,
( spl11_19
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f221,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
fof(f434,plain,
~ spl11_18,
inference(avatar_split_clause,[],[f220,f431]) ).
fof(f431,plain,
( spl11_18
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f220,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
fof(f429,plain,
~ spl11_17,
inference(avatar_split_clause,[],[f219,f426]) ).
fof(f426,plain,
( spl11_17
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f219,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
fof(f424,plain,
~ spl11_16,
inference(avatar_split_clause,[],[f218,f421]) ).
fof(f421,plain,
( spl11_16
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f218,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f418,plain,
spl11_15,
inference(avatar_split_clause,[],[f182,f416]) ).
fof(f182,plain,
! [X44,X43] :
( ~ leq(host(X43),host(X44))
| ~ elem(m_Ldr(X44),queue(host(X43))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f414,plain,
spl11_14,
inference(avatar_split_clause,[],[f217,f411]) ).
fof(f217,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f409,plain,
spl11_13,
inference(avatar_split_clause,[],[f342,f406]) ).
fof(f342,plain,
cons(m_Down(sK4),sK2) = queue(host(sK6)),
inference(forward_demodulation,[],[f202,f211]) ).
fof(f202,plain,
queue(host(sK3)) = cons(m_Down(sK4),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f404,plain,
spl11_12,
inference(avatar_split_clause,[],[f215,f401]) ).
fof(f215,plain,
host(sK5) = index(ldr,host(sK5)),
inference(cnf_transformation,[],[f151]) ).
fof(f399,plain,
( ~ spl11_11
| ~ spl11_5
| spl11_8 ),
inference(avatar_split_clause,[],[f384,f380,f365,f396]) ).
fof(f380,plain,
( spl11_8
<=> leq(s(host(sK3)),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f384,plain,
( ~ leq(s(host(sK6)),host(sK5))
| ~ spl11_5
| spl11_8 ),
inference(forward_demodulation,[],[f382,f367]) ).
fof(f382,plain,
( ~ leq(s(host(sK3)),host(sK5))
| spl11_8 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f394,plain,
spl11_10,
inference(avatar_split_clause,[],[f332,f391]) ).
fof(f332,plain,
elec_1 = index(status,host(sK6)),
inference(forward_demodulation,[],[f208,f211]) ).
fof(f208,plain,
elec_1 = index(status,host(sK3)),
inference(cnf_transformation,[],[f151]) ).
fof(f389,plain,
spl11_9,
inference(avatar_split_clause,[],[f216,f386]) ).
fof(f216,plain,
norm = index(status,host(sK5)),
inference(cnf_transformation,[],[f151]) ).
fof(f383,plain,
~ spl11_8,
inference(avatar_split_clause,[],[f212,f380]) ).
fof(f212,plain,
~ leq(s(host(sK3)),host(sK5)),
inference(cnf_transformation,[],[f151]) ).
fof(f378,plain,
~ spl11_7,
inference(avatar_split_clause,[],[f341,f375]) ).
fof(f341,plain,
~ leq(host(sK6),host(sK4)),
inference(forward_demodulation,[],[f204,f211]) ).
fof(f204,plain,
~ leq(host(sK3),host(sK4)),
inference(cnf_transformation,[],[f151]) ).
fof(f373,plain,
~ spl11_6,
inference(avatar_split_clause,[],[f330,f370]) ).
fof(f330,plain,
host(sK5) != host(sK6),
inference(forward_demodulation,[],[f210,f211]) ).
fof(f210,plain,
host(sK3) != host(sK5),
inference(cnf_transformation,[],[f151]) ).
fof(f368,plain,
spl11_5,
inference(avatar_split_clause,[],[f211,f365]) ).
fof(f363,plain,
~ spl11_4,
inference(avatar_split_clause,[],[f331,f360]) ).
fof(f360,plain,
( spl11_4
<=> leq(nbr_proc,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f331,plain,
~ leq(nbr_proc,host(sK6)),
inference(forward_demodulation,[],[f209,f211]) ).
fof(f209,plain,
~ leq(nbr_proc,host(sK3)),
inference(cnf_transformation,[],[f151]) ).
fof(f358,plain,
spl11_3,
inference(avatar_split_clause,[],[f214,f355]) ).
fof(f214,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f353,plain,
spl11_2,
inference(avatar_split_clause,[],[f213,f350]) ).
fof(f213,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f348,plain,
spl11_1,
inference(avatar_split_clause,[],[f203,f345]) ).
fof(f203,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 04:46:03 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (32678)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34 % (32681)WARNING: value z3 for option sas not known
% 0.17/0.34 % (32681)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)
% 0.17/0.34 % (32682)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.34 % (32684)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)
% 0.17/0.34 % (32680)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.34 % (32679)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34 % (32683)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)
% 0.17/0.34 % (32685)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)
% 0.17/0.35 Detected minimum model sizes of [4]
% 0.17/0.35 Detected maximum model sizes of [max]
% 0.17/0.36 TRYING [4]
% 0.17/0.39 Detected minimum model sizes of [4]
% 0.17/0.39 Detected maximum model sizes of [max]
% 0.17/0.40 TRYING [4]
% 0.17/0.41 TRYING [5]
% 0.17/0.52 TRYING [6]
% 2.25/0.67 TRYING [5]
% 2.68/0.72 TRYING [7]
% 5.34/1.08 TRYING [8]
% 7.42/1.45 Detected minimum model sizes of [4]
% 7.42/1.45 Detected maximum model sizes of [max]
% 7.42/1.45 TRYING [4]
% 8.39/1.52 TRYING [5]
% 8.39/1.53 % (32683)First to succeed.
% 8.51/1.57 % (32681)Also succeeded, but the first one will report.
% 8.51/1.57 % (32683)Refutation found. Thanks to Tanya!
% 8.51/1.57 % SZS status Theorem for theBenchmark
% 8.51/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 8.51/1.59 % (32683)------------------------------
% 8.51/1.59 % (32683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 8.51/1.59 % (32683)Termination reason: Refutation
% 8.51/1.59
% 8.51/1.59 % (32683)Memory used [KB]: 7326
% 8.51/1.59 % (32683)Time elapsed: 1.230 s
% 8.51/1.59 % (32683)Instructions burned: 2411 (million)
% 8.51/1.59 % (32683)------------------------------
% 8.51/1.59 % (32683)------------------------------
% 8.51/1.59 % (32678)Success in time 1.261 s
%------------------------------------------------------------------------------