TSTP Solution File: SWV456+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV456+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:58:11 EDT 2024
% Result : Theorem 2.45s 0.72s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 631
% Syntax : Number of formulae : 2168 ( 253 unt; 0 def)
% Number of atoms : 7923 (1620 equ)
% Maximal formula atoms : 112 ( 3 avg)
% Number of connectives : 10041 (4286 ~;4638 |; 444 &)
% ( 590 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 565 ( 563 usr; 557 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 23 con; 0-2 aty)
% Number of variables : 2962 (2903 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10061,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f353,f358,f363,f368,f373,f378,f383,f389,f395,f400,f405,f415,f420,f429,f434,f442,f449,f454,f459,f463,f468,f481,f485,f493,f497,f514,f523,f528,f538,f543,f548,f553,f558,f563,f568,f573,f577,f581,f585,f589,f593,f598,f602,f606,f611,f613,f619,f654,f658,f662,f666,f675,f679,f683,f687,f691,f695,f699,f703,f707,f711,f715,f719,f723,f727,f731,f735,f739,f743,f747,f757,f763,f767,f771,f775,f780,f784,f788,f792,f796,f800,f804,f808,f812,f825,f829,f833,f837,f841,f845,f849,f853,f865,f874,f878,f882,f886,f890,f894,f899,f903,f907,f911,f915,f919,f923,f936,f954,f969,f984,f988,f992,f996,f1028,f1032,f1036,f1040,f1044,f1048,f1052,f1056,f1101,f1105,f1109,f1113,f1118,f1158,f1162,f1166,f1175,f1179,f1194,f1198,f1217,f1223,f1233,f1242,f1250,f1258,f1262,f1266,f1270,f1276,f1280,f1284,f1288,f1293,f1302,f1342,f1346,f1364,f1368,f1372,f1377,f1381,f1385,f1397,f1409,f1421,f1431,f1442,f1453,f1462,f1470,f1479,f1483,f1487,f1491,f1495,f1499,f1503,f1561,f1569,f1573,f1577,f1585,f1589,f1593,f1597,f1601,f1605,f1609,f1622,f1657,f1661,f1670,f1679,f1683,f1687,f1691,f1732,f1736,f1749,f1757,f1772,f1776,f1780,f1784,f1824,f1828,f1832,f1836,f1840,f1853,f1902,f1906,f1923,f1927,f1931,f1935,f1939,f1943,f1947,f1951,f1955,f1959,f2033,f2037,f2041,f2045,f2049,f2053,f2057,f2061,f2065,f2069,f2083,f2137,f2141,f2146,f2150,f2184,f2188,f2192,f2236,f2240,f2244,f2248,f2252,f2256,f2334,f2338,f2342,f2373,f2377,f2381,f2385,f2430,f2460,f2464,f2470,f2474,f2478,f2483,f2487,f2491,f2495,f2499,f2503,f2528,f2540,f2558,f2563,f2576,f2584,f2589,f2603,f2609,f2616,f2627,f2630,f2672,f2677,f2694,f2699,f2700,f2703,f2704,f2709,f2726,f2731,f2736,f2768,f2776,f2782,f2786,f2788,f2792,f2799,f2844,f2850,f2854,f2859,f2864,f2872,f2890,f2898,f2902,f2907,f2912,f2916,f2920,f2924,f2936,f2943,f2949,f2955,f2996,f3001,f3009,f3013,f3049,f3053,f3057,f3062,f3067,f3071,f3077,f3081,f3085,f3094,f3099,f3108,f3114,f3119,f3125,f3129,f3137,f3141,f3145,f3214,f3232,f3236,f3240,f3241,f3247,f3271,f3275,f3276,f3281,f3295,f3299,f3320,f3324,f3344,f3348,f3352,f3358,f3362,f3366,f3370,f3374,f3382,f3386,f3510,f3516,f3521,f3526,f3531,f3535,f3550,f3559,f3561,f3567,f3591,f3593,f3623,f3646,f3667,f3674,f3681,f3686,f3696,f3700,f3704,f3705,f3709,f3713,f3717,f3721,f3725,f3828,f3890,f3895,f3900,f3905,f3906,f3907,f3912,f3917,f3921,f3925,f3929,f3933,f3937,f3942,f3946,f3950,f3954,f3958,f4163,f4167,f4171,f4175,f4179,f4183,f4187,f4191,f4232,f4381,f4385,f4389,f4393,f4397,f4401,f4405,f4409,f4413,f4417,f4421,f4425,f4429,f4433,f4839,f4920,f4924,f4928,f4932,f4936,f4940,f4945,f4950,f4954,f4958,f4962,f4966,f4970,f4974,f4978,f4982,f4986,f4990,f4994,f4998,f5002,f5338,f5343,f5347,f5351,f5355,f5359,f5363,f5367,f5371,f5375,f5379,f5386,f5390,f5394,f5398,f5402,f5406,f5410,f5414,f5418,f5444,f5718,f5753,f5790,f5820,f5841,f6176,f6180,f6184,f6188,f6192,f6196,f6200,f6204,f6208,f6212,f6233,f6237,f6241,f6245,f6249,f6253,f6759,f6814,f6818,f6822,f6826,f6830,f6834,f6838,f6842,f6847,f6851,f7164,f7168,f7172,f7176,f7246,f7250,f7254,f7258,f7264,f7429,f7433,f7437,f7441,f7445,f7449,f7453,f7472,f7476,f7480,f7745,f7749,f7753,f7757,f7853,f7937,f7941,f7945,f7950,f7955,f8018,f8066,f8070,f8074,f8078,f8082,f8086,f8090,f8094,f8098,f8127,f8365,f8369,f8415,f8419,f8423,f8427,f8431,f8436,f8440,f8444,f8919,f8985,f8989,f9037,f9041,f9139,f9143,f9147,f9151,f9155,f9159,f9163,f9167,f9388,f9679,f9683,f9687,f9691,f9695,f9953,f9958,f9962,f9967,f9975,f10059,f10060]) ).
fof(f10060,plain,
( ~ spl13_22
| ~ spl13_11
| ~ spl13_362 ),
inference(avatar_split_clause,[],[f8927,f3684,f397,f456]) ).
fof(f456,plain,
( spl13_22
<=> setIn(host(sK7),index(down,host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f397,plain,
( spl13_11
<=> host(sK3) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f3684,plain,
( spl13_362
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(host(X0),index(down,host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_362])]) ).
fof(f8927,plain,
( ~ setIn(host(sK7),index(down,host(sK9)))
| ~ spl13_11
| ~ spl13_362 ),
inference(trivial_inequality_removal,[],[f8920]) ).
fof(f8920,plain,
( host(sK7) != host(sK7)
| ~ setIn(host(sK7),index(down,host(sK9)))
| ~ spl13_11
| ~ spl13_362 ),
inference(superposition,[],[f3685,f399]) ).
fof(f399,plain,
( host(sK3) = host(sK7)
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f3685,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(host(X0),index(down,host(sK9))) )
| ~ spl13_362 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f10059,plain,
( spl13_556
| ~ spl13_273
| ~ spl13_389 ),
inference(avatar_split_clause,[],[f4272,f4169,f2586,f10057]) ).
fof(f10057,plain,
( spl13_556
<=> ! [X0] :
( leq(X0,s(sK6))
| leq(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_556])]) ).
fof(f2586,plain,
( spl13_273
<=> leq(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_273])]) ).
fof(f4169,plain,
( spl13_389
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_389])]) ).
fof(f4272,plain,
( ! [X0] :
( leq(X0,s(sK6))
| leq(sK7,X0) )
| ~ spl13_273
| ~ spl13_389 ),
inference(resolution,[],[f4170,f2588]) ).
fof(f2588,plain,
( leq(sK7,sK6)
| ~ spl13_273 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f4170,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X1,s(X2))
| leq(X0,X1) )
| ~ spl13_389 ),
inference(avatar_component_clause,[],[f4169]) ).
fof(f9975,plain,
( spl13_554
| spl13_555
| ~ spl13_14
| ~ spl13_227
| ~ spl13_341 ),
inference(avatar_split_clause,[],[f3436,f3360,f2031,f412,f9973,f9969]) ).
fof(f9969,plain,
( spl13_554
<=> leq(sK7,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_554])]) ).
fof(f9973,plain,
( spl13_555
<=> ! [X0] : leq(host(X0),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_555])]) ).
fof(f412,plain,
( spl13_14
<=> sK3 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f2031,plain,
( spl13_227
<=> ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_227])]) ).
fof(f3360,plain,
( spl13_341
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_341])]) ).
fof(f3436,plain,
( ! [X0] :
( leq(host(X0),sK6)
| leq(sK7,nbr_proc) )
| ~ spl13_14
| ~ spl13_227
| ~ spl13_341 ),
inference(forward_demodulation,[],[f3424,f414]) ).
fof(f414,plain,
( sK3 = sK6
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f3424,plain,
( ! [X0] :
( leq(sK7,nbr_proc)
| leq(host(X0),sK3) )
| ~ spl13_227
| ~ spl13_341 ),
inference(resolution,[],[f3361,f2032]) ).
fof(f2032,plain,
( ! [X0] :
( ~ leq(X0,sK7)
| leq(X0,sK3) )
| ~ spl13_227 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f3361,plain,
( ! [X0,X1] :
( leq(host(X1),X0)
| leq(X0,nbr_proc) )
| ~ spl13_341 ),
inference(avatar_component_clause,[],[f3360]) ).
fof(f9967,plain,
( ~ spl13_553
| ~ spl13_295
| ~ spl13_334 ),
inference(avatar_split_clause,[],[f3307,f3293,f2870,f9964]) ).
fof(f9964,plain,
( spl13_553
<=> leq(s(s(s(s(sK6)))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_553])]) ).
fof(f2870,plain,
( spl13_295
<=> ! [X0] :
( leq(X0,s(sK6))
| ~ leq(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_295])]) ).
fof(f3293,plain,
( spl13_334
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_334])]) ).
fof(f3307,plain,
( ~ leq(s(s(s(s(sK6)))),sK7)
| ~ spl13_295
| ~ spl13_334 ),
inference(resolution,[],[f3294,f2871]) ).
fof(f2871,plain,
( ! [X0] :
( leq(X0,s(sK6))
| ~ leq(X0,sK7) )
| ~ spl13_295 ),
inference(avatar_component_clause,[],[f2870]) ).
fof(f3294,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl13_334 ),
inference(avatar_component_clause,[],[f3293]) ).
fof(f9962,plain,
( spl13_552
| ~ spl13_104
| ~ spl13_295 ),
inference(avatar_split_clause,[],[f2880,f2870,f901,f9960]) ).
fof(f9960,plain,
( spl13_552
<=> ! [X0] :
( ~ leq(s(X0),sK7)
| leq(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_552])]) ).
fof(f901,plain,
( spl13_104
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).
fof(f2880,plain,
( ! [X0] :
( ~ leq(s(X0),sK7)
| leq(X0,sK6) )
| ~ spl13_104
| ~ spl13_295 ),
inference(resolution,[],[f2871,f902]) ).
fof(f902,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl13_104 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f9958,plain,
( spl13_551
| ~ spl13_185
| ~ spl13_288 ),
inference(avatar_split_clause,[],[f2820,f2790,f1583,f9956]) ).
fof(f9956,plain,
( spl13_551
<=> ! [X0] :
( leq(sK7,s(X0))
| leq(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_551])]) ).
fof(f1583,plain,
( spl13_185
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_185])]) ).
fof(f2790,plain,
( spl13_288
<=> ! [X0] :
( leq(X0,sK6)
| leq(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_288])]) ).
fof(f2820,plain,
( ! [X0] :
( leq(sK7,s(X0))
| leq(X0,sK6) )
| ~ spl13_185
| ~ spl13_288 ),
inference(resolution,[],[f2791,f1584]) ).
fof(f1584,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl13_185 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f2791,plain,
( ! [X0] :
( leq(X0,sK6)
| leq(sK7,X0) )
| ~ spl13_288 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f9953,plain,
( spl13_550
| ~ spl13_218
| ~ spl13_279 ),
inference(avatar_split_clause,[],[f2673,f2669,f1925,f9951]) ).
fof(f9951,plain,
( spl13_550
<=> ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_550])]) ).
fof(f1925,plain,
( spl13_218
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_218])]) ).
fof(f2669,plain,
( spl13_279
<=> leq(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_279])]) ).
fof(f2673,plain,
( ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK6)) )
| ~ spl13_218
| ~ spl13_279 ),
inference(resolution,[],[f2671,f1926]) ).
fof(f1926,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl13_218 ),
inference(avatar_component_clause,[],[f1925]) ).
fof(f2671,plain,
( leq(sK4,sK6)
| ~ spl13_279 ),
inference(avatar_component_clause,[],[f2669]) ).
fof(f9695,plain,
( spl13_549
| ~ spl13_117
| ~ spl13_306 ),
inference(avatar_split_clause,[],[f3377,f2998,f994,f9693]) ).
fof(f9693,plain,
( spl13_549
<=> ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_549])]) ).
fof(f994,plain,
( spl13_117
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).
fof(f2998,plain,
( spl13_306
<=> leq(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_306])]) ).
fof(f3377,plain,
( ! [X0] :
( leq(X0,sK8)
| ~ leq(X0,sK9) )
| ~ spl13_117
| ~ spl13_306 ),
inference(resolution,[],[f3000,f995]) ).
fof(f995,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl13_117 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f3000,plain,
( leq(sK9,sK8)
| ~ spl13_306 ),
inference(avatar_component_clause,[],[f2998]) ).
fof(f9691,plain,
( spl13_548
| ~ spl13_253
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2448,f2383,f2340,f9689]) ).
fof(f9689,plain,
( spl13_548
<=> ! [X4,X0,X3,X2,X1] :
( sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_548])]) ).
fof(f2340,plain,
( spl13_253
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_253])]) ).
fof(f2383,plain,
( spl13_257
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_257])]) ).
fof(f2448,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK12(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl13_253
| ~ spl13_257 ),
inference(resolution,[],[f2384,f2341]) ).
fof(f2341,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl13_253 ),
inference(avatar_component_clause,[],[f2340]) ).
fof(f2384,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,cons(X1,X2)),X2)
| sK12(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl13_257 ),
inference(avatar_component_clause,[],[f2383]) ).
fof(f9687,plain,
( spl13_547
| ~ spl13_253
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2437,f2379,f2340,f9685]) ).
fof(f9685,plain,
( spl13_547
<=> ! [X4,X0,X3,X2,X1] :
( sK11(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK11(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK11(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_547])]) ).
fof(f2379,plain,
( spl13_256
<=> ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_256])]) ).
fof(f2437,plain,
( ! [X2,X3,X0,X1,X4] :
( sK11(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK11(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK11(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl13_253
| ~ spl13_256 ),
inference(resolution,[],[f2380,f2341]) ).
fof(f2380,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,cons(X1,X2)),X2)
| sK11(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl13_256 ),
inference(avatar_component_clause,[],[f2379]) ).
fof(f9683,plain,
( spl13_546
| ~ spl13_128
| ~ spl13_253
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2423,f2375,f2340,f1107,f9681]) ).
fof(f9681,plain,
( spl13_546
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_546])]) ).
fof(f1107,plain,
( spl13_128
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).
fof(f2375,plain,
( spl13_255
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_255])]) ).
fof(f2423,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2422,f1108]) ).
fof(f1108,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl13_128 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f2422,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2421,f1108]) ).
fof(f2421,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2420,f1108]) ).
fof(f2420,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2408,f1108]) ).
fof(f2408,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK12(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_253
| ~ spl13_255 ),
inference(resolution,[],[f2376,f2341]) ).
fof(f2376,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,snoc(X1,X2)),X1)
| sK12(X0,snoc(X1,X2)) = X2
| sP1(X0,snoc(X1,X2)) )
| ~ spl13_255 ),
inference(avatar_component_clause,[],[f2375]) ).
fof(f9679,plain,
( spl13_545
| ~ spl13_128
| ~ spl13_253
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2403,f2371,f2340,f1107,f9677]) ).
fof(f9677,plain,
( spl13_545
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_545])]) ).
fof(f2371,plain,
( spl13_254
<=> ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_254])]) ).
fof(f2403,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2402,f1108]) ).
fof(f2402,plain,
( ! [X2,X3,X0,X1,X4] :
( sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2401,f1108]) ).
fof(f2401,plain,
( ! [X2,X3,X0,X1,X4] :
( sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2400,f1108]) ).
fof(f2400,plain,
( ! [X2,X3,X0,X1,X4] :
( sK11(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_128
| ~ spl13_253
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2388,f1108]) ).
fof(f2388,plain,
( ! [X2,X3,X0,X1,X4] :
( sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK11(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl13_253
| ~ spl13_254 ),
inference(resolution,[],[f2372,f2341]) ).
fof(f2372,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,snoc(X1,X2)),X1)
| sK11(X0,snoc(X1,X2)) = X2
| sP0(X0,snoc(X1,X2)) )
| ~ spl13_254 ),
inference(avatar_component_clause,[],[f2371]) ).
fof(f9388,plain,
( spl13_544
| ~ spl13_216
| ~ spl13_306 ),
inference(avatar_split_clause,[],[f3376,f2998,f1904,f9386]) ).
fof(f9386,plain,
( spl13_544
<=> ! [X0] :
( leq(sK9,X0)
| leq(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_544])]) ).
fof(f1904,plain,
( spl13_216
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_216])]) ).
fof(f3376,plain,
( ! [X0] :
( leq(sK9,X0)
| leq(X0,sK8) )
| ~ spl13_216
| ~ spl13_306 ),
inference(resolution,[],[f3000,f1905]) ).
fof(f1905,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl13_216 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f9167,plain,
( spl13_543
| ~ spl13_243
| ~ spl13_260 ),
inference(avatar_split_clause,[],[f2466,f2462,f2186,f9165]) ).
fof(f9165,plain,
( spl13_543
<=> ! [X0] :
( sK12(last(X0),init(X0)) = m_Down(sK10(sK12(last(X0),init(X0))))
| sK12(last(X0),init(X0)) = m_Halt(sK10(sK12(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_543])]) ).
fof(f2186,plain,
( spl13_243
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_243])]) ).
fof(f2462,plain,
( spl13_260
<=> ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_260])]) ).
fof(f2466,plain,
( ! [X0] :
( sK12(last(X0),init(X0)) = m_Down(sK10(sK12(last(X0),init(X0))))
| sK12(last(X0),init(X0)) = m_Halt(sK10(sK12(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_243
| ~ spl13_260 ),
inference(resolution,[],[f2463,f2187]) ).
fof(f2187,plain,
( ! [X0] :
( ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_243 ),
inference(avatar_component_clause,[],[f2186]) ).
fof(f2463,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1))) )
| ~ spl13_260 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f9163,plain,
( spl13_542
| ~ spl13_244
| ~ spl13_259 ),
inference(avatar_split_clause,[],[f2465,f2458,f2190,f9161]) ).
fof(f9161,plain,
( spl13_542
<=> ! [X0] :
( sK11(head(X0),tail(X0)) = m_Down(sK10(sK11(head(X0),tail(X0))))
| sK11(head(X0),tail(X0)) = m_Halt(sK10(sK11(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_542])]) ).
fof(f2190,plain,
( spl13_244
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_244])]) ).
fof(f2458,plain,
( spl13_259
<=> ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_259])]) ).
fof(f2465,plain,
( ! [X0] :
( sK11(head(X0),tail(X0)) = m_Down(sK10(sK11(head(X0),tail(X0))))
| sK11(head(X0),tail(X0)) = m_Halt(sK10(sK11(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_244
| ~ spl13_259 ),
inference(resolution,[],[f2459,f2191]) ).
fof(f2191,plain,
( ! [X0] :
( ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_244 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f2459,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1))) )
| ~ spl13_259 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f9159,plain,
( spl13_541
| ~ spl13_130
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2447,f2383,f1116,f9157]) ).
fof(f9157,plain,
( spl13_541
<=> ! [X0,X3,X2,X1] :
( sK12(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK12(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK12(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_541])]) ).
fof(f1116,plain,
( spl13_130
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).
fof(f2447,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK12(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK12(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl13_130
| ~ spl13_257 ),
inference(resolution,[],[f2384,f1117]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_130 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f9155,plain,
( spl13_540
| ~ spl13_130
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2436,f2379,f1116,f9153]) ).
fof(f9153,plain,
( spl13_540
<=> ! [X0,X3,X2,X1] :
( sK11(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK11(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK11(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_540])]) ).
fof(f2436,plain,
( ! [X2,X3,X0,X1] :
( sK11(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK11(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK11(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl13_130
| ~ spl13_256 ),
inference(resolution,[],[f2380,f1117]) ).
fof(f9151,plain,
( spl13_539
| ~ spl13_128
| ~ spl13_130
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2419,f2375,f1116,f1107,f9149]) ).
fof(f9149,plain,
( spl13_539
<=> ! [X0,X3,X2,X1] :
( elem(sK12(X0,cons(X1,snoc(X2,X3))),X2)
| sK12(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK12(X0,cons(X1,snoc(X2,X3))) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_539])]) ).
fof(f2419,plain,
( ! [X2,X3,X0,X1] :
( elem(sK12(X0,cons(X1,snoc(X2,X3))),X2)
| sK12(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK12(X0,cons(X1,snoc(X2,X3))) = X3 )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2418,f1108]) ).
fof(f2418,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK12(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK12(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2417,f1108]) ).
fof(f2417,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,cons(X1,snoc(X2,X3)))
| sK12(X0,cons(X1,snoc(X2,X3))) = X3
| sK12(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK12(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2416,f1108]) ).
fof(f2416,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,cons(X1,snoc(X2,X3))) = X3
| sP1(X0,snoc(cons(X1,X2),X3))
| sK12(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK12(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2407,f1108]) ).
fof(f2407,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,snoc(cons(X1,X2),X3)) = X3
| sP1(X0,snoc(cons(X1,X2),X3))
| sK12(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK12(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_130
| ~ spl13_255 ),
inference(resolution,[],[f2376,f1117]) ).
fof(f9147,plain,
( spl13_538
| ~ spl13_129
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2410,f2375,f1111,f9145]) ).
fof(f9145,plain,
( spl13_538
<=> ! [X0,X3,X2,X1] :
( sK12(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK12(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK12(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_538])]) ).
fof(f1111,plain,
( spl13_129
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_129])]) ).
fof(f2410,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK12(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK12(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl13_129
| ~ spl13_255 ),
inference(resolution,[],[f2376,f1112]) ).
fof(f1112,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_129 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f9143,plain,
( spl13_537
| ~ spl13_128
| ~ spl13_130
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2399,f2371,f1116,f1107,f9141]) ).
fof(f9141,plain,
( spl13_537
<=> ! [X0,X3,X2,X1] :
( elem(sK11(X0,cons(X1,snoc(X2,X3))),X2)
| sK11(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK11(X0,cons(X1,snoc(X2,X3))) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_537])]) ).
fof(f2399,plain,
( ! [X2,X3,X0,X1] :
( elem(sK11(X0,cons(X1,snoc(X2,X3))),X2)
| sK11(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK11(X0,cons(X1,snoc(X2,X3))) = X3 )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2398,f1108]) ).
fof(f2398,plain,
( ! [X2,X3,X0,X1] :
( sK11(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK11(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK11(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2397,f1108]) ).
fof(f2397,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,cons(X1,snoc(X2,X3)))
| sK11(X0,cons(X1,snoc(X2,X3))) = X3
| sK11(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK11(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2396,f1108]) ).
fof(f2396,plain,
( ! [X2,X3,X0,X1] :
( sK11(X0,cons(X1,snoc(X2,X3))) = X3
| sP0(X0,snoc(cons(X1,X2),X3))
| sK11(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK11(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_128
| ~ spl13_130
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2387,f1108]) ).
fof(f2387,plain,
( ! [X2,X3,X0,X1] :
( sK11(X0,snoc(cons(X1,X2),X3)) = X3
| sP0(X0,snoc(cons(X1,X2),X3))
| sK11(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK11(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl13_130
| ~ spl13_254 ),
inference(resolution,[],[f2372,f1117]) ).
fof(f9139,plain,
( spl13_536
| ~ spl13_129
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2390,f2371,f1111,f9137]) ).
fof(f9137,plain,
( spl13_536
<=> ! [X0,X3,X2,X1] :
( sK11(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK11(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK11(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_536])]) ).
fof(f2390,plain,
( ! [X2,X3,X0,X1] :
( sK11(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK11(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK11(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl13_129
| ~ spl13_254 ),
inference(resolution,[],[f2372,f1112]) ).
fof(f9041,plain,
( spl13_535
| ~ spl13_106
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2361,f2340,f909,f9039]) ).
fof(f9039,plain,
( spl13_535
<=> ! [X0,X3,X2,X1] :
( sK12(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK12(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_535])]) ).
fof(f909,plain,
( spl13_106
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).
fof(f2361,plain,
( ! [X2,X3,X0,X1] :
( sK12(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK12(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) )
| ~ spl13_106
| ~ spl13_253 ),
inference(resolution,[],[f2341,f910]) ).
fof(f910,plain,
( ! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl13_106 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f9037,plain,
( spl13_534
| ~ spl13_105
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2360,f2340,f905,f9035]) ).
fof(f9035,plain,
( spl13_534
<=> ! [X0,X3,X2,X1] :
( sK11(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK11(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_534])]) ).
fof(f905,plain,
( spl13_105
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).
fof(f2360,plain,
( ! [X2,X3,X0,X1] :
( sK11(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK11(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) )
| ~ spl13_105
| ~ spl13_253 ),
inference(resolution,[],[f2341,f906]) ).
fof(f906,plain,
( ! [X0,X1] :
( elem(sK11(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl13_105 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f8989,plain,
( spl13_533
| ~ spl13_246
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2456,f2383,f2238,f8987]) ).
fof(f8987,plain,
( spl13_533
<=> ! [X2,X0,X1] :
( elem(sK12(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK12(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_533])]) ).
fof(f2238,plain,
( spl13_246
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_246])]) ).
fof(f2456,plain,
( ! [X2,X0,X1] :
( elem(sK12(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK12(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_246
| ~ spl13_257 ),
inference(superposition,[],[f2384,f2239]) ).
fof(f2239,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_246 ),
inference(avatar_component_clause,[],[f2238]) ).
fof(f8985,plain,
( spl13_532
| ~ spl13_246
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2445,f2379,f2238,f8983]) ).
fof(f8983,plain,
( spl13_532
<=> ! [X2,X0,X1] :
( elem(sK11(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK11(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_532])]) ).
fof(f2445,plain,
( ! [X2,X0,X1] :
( elem(sK11(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK11(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_246
| ~ spl13_256 ),
inference(superposition,[],[f2380,f2239]) ).
fof(f8919,plain,
( ~ spl13_3
| ~ spl13_139
| spl13_491 ),
inference(avatar_split_clause,[],[f8432,f7261,f1221,f355]) ).
fof(f355,plain,
( spl13_3
<=> elem(m_Down(sK9),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f1221,plain,
( spl13_139
<=> ! [X0] :
( elem(X0,queue(host(sK7)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_139])]) ).
fof(f7261,plain,
( spl13_491
<=> elem(m_Down(sK9),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_491])]) ).
fof(f8432,plain,
( ~ elem(m_Down(sK9),sK2)
| ~ spl13_139
| spl13_491 ),
inference(resolution,[],[f7263,f1222]) ).
fof(f1222,plain,
( ! [X0] :
( elem(X0,queue(host(sK7)))
| ~ elem(X0,sK2) )
| ~ spl13_139 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f7263,plain,
( ~ elem(m_Down(sK9),queue(host(sK7)))
| spl13_491 ),
inference(avatar_component_clause,[],[f7261]) ).
fof(f8444,plain,
( spl13_531
| ~ spl13_220
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2451,f2383,f1933,f8442]) ).
fof(f8442,plain,
( spl13_531
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK12(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_531])]) ).
fof(f1933,plain,
( spl13_220
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_220])]) ).
fof(f2451,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK12(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl13_220
| ~ spl13_257 ),
inference(resolution,[],[f2384,f1934]) ).
fof(f1934,plain,
( ! [X0,X1] :
( ~ elem(X1,init(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl13_220 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f8440,plain,
( spl13_530
| ~ spl13_222
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2449,f2383,f1941,f8438]) ).
fof(f8438,plain,
( spl13_530
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK12(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_530])]) ).
fof(f1941,plain,
( spl13_222
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_222])]) ).
fof(f2449,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK12(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl13_222
| ~ spl13_257 ),
inference(resolution,[],[f2384,f1942]) ).
fof(f1942,plain,
( ! [X0,X1] :
( ~ elem(X1,tail(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl13_222 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f8436,plain,
( spl13_529
| ~ spl13_220
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2440,f2379,f1933,f8434]) ).
fof(f8434,plain,
( spl13_529
<=> ! [X2,X0,X1] :
( sK11(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK11(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_529])]) ).
fof(f2440,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK11(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl13_220
| ~ spl13_256 ),
inference(resolution,[],[f2380,f1934]) ).
fof(f8431,plain,
( spl13_528
| ~ spl13_222
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2438,f2379,f1941,f8429]) ).
fof(f8429,plain,
( spl13_528
<=> ! [X2,X0,X1] :
( sK11(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK11(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_528])]) ).
fof(f2438,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK11(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl13_222
| ~ spl13_256 ),
inference(resolution,[],[f2380,f1942]) ).
fof(f8427,plain,
( spl13_527
| ~ spl13_220
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2411,f2375,f1933,f8425]) ).
fof(f8425,plain,
( spl13_527
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK12(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_527])]) ).
fof(f2411,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK12(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl13_220
| ~ spl13_255 ),
inference(resolution,[],[f2376,f1934]) ).
fof(f8423,plain,
( spl13_526
| ~ spl13_222
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2409,f2375,f1941,f8421]) ).
fof(f8421,plain,
( spl13_526
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK12(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_526])]) ).
fof(f2409,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK12(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl13_222
| ~ spl13_255 ),
inference(resolution,[],[f2376,f1942]) ).
fof(f8419,plain,
( spl13_525
| ~ spl13_220
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2391,f2371,f1933,f8417]) ).
fof(f8417,plain,
( spl13_525
<=> ! [X2,X0,X1] :
( sK11(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK11(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_525])]) ).
fof(f2391,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK11(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl13_220
| ~ spl13_254 ),
inference(resolution,[],[f2372,f1934]) ).
fof(f8415,plain,
( spl13_524
| ~ spl13_222
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2389,f2371,f1941,f8413]) ).
fof(f8413,plain,
( spl13_524
<=> ! [X2,X0,X1] :
( sK11(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK11(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_524])]) ).
fof(f2389,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK11(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl13_222
| ~ spl13_254 ),
inference(resolution,[],[f2372,f1942]) ).
fof(f8369,plain,
( spl13_523
| ~ spl13_231
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2166,f2135,f2047,f8367]) ).
fof(f8367,plain,
( spl13_523
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK11(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK11(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_523])]) ).
fof(f2047,plain,
( spl13_231
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_231])]) ).
fof(f2135,plain,
( spl13_238
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_238])]) ).
fof(f2166,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK11(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK11(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) )
| ~ spl13_231
| ~ spl13_238 ),
inference(resolution,[],[f2136,f2048]) ).
fof(f2048,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl13_231 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2136,plain,
( ! [X0,X1] :
( leq(s(X1),X0)
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl13_238 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f8365,plain,
( spl13_522
| ~ spl13_230
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2165,f2135,f2043,f8363]) ).
fof(f8363,plain,
( spl13_522
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK11(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK11(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_522])]) ).
fof(f2043,plain,
( spl13_230
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_230])]) ).
fof(f2165,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK11(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK11(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl13_230
| ~ spl13_238 ),
inference(resolution,[],[f2136,f2044]) ).
fof(f2044,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl13_230 ),
inference(avatar_component_clause,[],[f2043]) ).
fof(f8127,plain,
( spl13_521
| ~ spl13_56
| ~ spl13_267 ),
inference(avatar_split_clause,[],[f2520,f2493,f677,f8125]) ).
fof(f8125,plain,
( spl13_521
<=> ! [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,[spl13_521])]) ).
fof(f677,plain,
( spl13_56
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).
fof(f2493,plain,
( spl13_267
<=> ! [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,[spl13_267])]) ).
fof(f2520,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) )
| ~ spl13_56
| ~ spl13_267 ),
inference(superposition,[],[f2494,f678]) ).
fof(f678,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl13_56 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f2494,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) )
| ~ spl13_267 ),
inference(avatar_component_clause,[],[f2493]) ).
fof(f8098,plain,
( spl13_520
| ~ spl13_55
| ~ spl13_267 ),
inference(avatar_split_clause,[],[f2519,f2493,f673,f8096]) ).
fof(f8096,plain,
( spl13_520
<=> ! [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,[spl13_520])]) ).
fof(f673,plain,
( spl13_55
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).
fof(f2519,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) )
| ~ spl13_55
| ~ spl13_267 ),
inference(superposition,[],[f2494,f674]) ).
fof(f674,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl13_55 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f8094,plain,
( spl13_519
| ~ spl13_56
| ~ spl13_266 ),
inference(avatar_split_clause,[],[f2517,f2489,f677,f8092]) ).
fof(f8092,plain,
( spl13_519
<=> ! [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,[spl13_519])]) ).
fof(f2489,plain,
( spl13_266
<=> ! [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,[spl13_266])]) ).
fof(f2517,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) )
| ~ spl13_56
| ~ spl13_266 ),
inference(superposition,[],[f2490,f678]) ).
fof(f2490,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) )
| ~ spl13_266 ),
inference(avatar_component_clause,[],[f2489]) ).
fof(f8090,plain,
( spl13_518
| ~ spl13_55
| ~ spl13_266 ),
inference(avatar_split_clause,[],[f2516,f2489,f673,f8088]) ).
fof(f8088,plain,
( spl13_518
<=> ! [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,[spl13_518])]) ).
fof(f2516,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) )
| ~ spl13_55
| ~ spl13_266 ),
inference(superposition,[],[f2490,f674]) ).
fof(f8086,plain,
( spl13_517
| ~ spl13_56
| ~ spl13_262 ),
inference(avatar_split_clause,[],[f2508,f2472,f677,f8084]) ).
fof(f8084,plain,
( spl13_517
<=> ! [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,[spl13_517])]) ).
fof(f2472,plain,
( spl13_262
<=> ! [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,[spl13_262])]) ).
fof(f2508,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) )
| ~ spl13_56
| ~ spl13_262 ),
inference(superposition,[],[f2473,f678]) ).
fof(f2473,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) )
| ~ spl13_262 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f8082,plain,
( spl13_516
| ~ spl13_55
| ~ spl13_262 ),
inference(avatar_split_clause,[],[f2507,f2472,f673,f8080]) ).
fof(f8080,plain,
( spl13_516
<=> ! [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,[spl13_516])]) ).
fof(f2507,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) )
| ~ spl13_55
| ~ spl13_262 ),
inference(superposition,[],[f2473,f674]) ).
fof(f8078,plain,
( spl13_515
| ~ spl13_56
| ~ spl13_261 ),
inference(avatar_split_clause,[],[f2505,f2468,f677,f8076]) ).
fof(f8076,plain,
( spl13_515
<=> ! [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,[spl13_515])]) ).
fof(f2468,plain,
( spl13_261
<=> ! [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,[spl13_261])]) ).
fof(f2505,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) )
| ~ spl13_56
| ~ spl13_261 ),
inference(superposition,[],[f2469,f678]) ).
fof(f2469,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) )
| ~ spl13_261 ),
inference(avatar_component_clause,[],[f2468]) ).
fof(f8074,plain,
( spl13_514
| ~ spl13_55
| ~ spl13_261 ),
inference(avatar_split_clause,[],[f2504,f2468,f673,f8072]) ).
fof(f8072,plain,
( spl13_514
<=> ! [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,[spl13_514])]) ).
fof(f2504,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) )
| ~ spl13_55
| ~ spl13_261 ),
inference(superposition,[],[f2469,f674]) ).
fof(f8070,plain,
( spl13_513
| ~ spl13_231
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2116,f2059,f2047,f8068]) ).
fof(f8068,plain,
( spl13_513
<=> ! [X0,X1] :
( leq(pidMsg(sK11(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK11(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_513])]) ).
fof(f2059,plain,
( spl13_234
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_234])]) ).
fof(f2116,plain,
( ! [X0,X1] :
( leq(pidMsg(sK11(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK11(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) )
| ~ spl13_231
| ~ spl13_234 ),
inference(resolution,[],[f2060,f2048]) ).
fof(f2060,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| leq(X1,X0)
| s(X0) = X1 )
| ~ spl13_234 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f8066,plain,
( spl13_512
| ~ spl13_230
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2115,f2059,f2043,f8064]) ).
fof(f8064,plain,
( spl13_512
<=> ! [X0,X1] :
( leq(pidMsg(sK11(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK11(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_512])]) ).
fof(f2115,plain,
( ! [X0,X1] :
( leq(pidMsg(sK11(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK11(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl13_230
| ~ spl13_234 ),
inference(resolution,[],[f2060,f2044]) ).
fof(f8018,plain,
( spl13_511
| ~ spl13_128
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f2349,f2336,f1107,f8016]) ).
fof(f8016,plain,
( spl13_511
<=> ! [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,[spl13_511])]) ).
fof(f2336,plain,
( spl13_252
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_252])]) ).
fof(f2349,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))) )
| ~ spl13_128
| ~ spl13_252 ),
inference(superposition,[],[f2337,f1108]) ).
fof(f2337,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_252 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f7955,plain,
( spl13_510
| ~ spl13_246
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f2351,f2336,f2238,f7953]) ).
fof(f7953,plain,
( spl13_510
<=> ! [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,[spl13_510])]) ).
fof(f2351,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP1(X1,cons(head(X0),tail(X0)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_246
| ~ spl13_252 ),
inference(superposition,[],[f2337,f2239]) ).
fof(f7950,plain,
( spl13_509
| ~ spl13_233
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2326,f2254,f2055,f7948]) ).
fof(f7948,plain,
( spl13_509
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),sK10(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_509])]) ).
fof(f2055,plain,
( spl13_233
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_233])]) ).
fof(f2254,plain,
( spl13_250
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_250])]) ).
fof(f2326,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),sK10(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_233
| ~ spl13_250 ),
inference(superposition,[],[f2056,f2255]) ).
fof(f2255,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK10(m_Down(X0)))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_250 ),
inference(avatar_component_clause,[],[f2254]) ).
fof(f2056,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl13_233 ),
inference(avatar_component_clause,[],[f2055]) ).
fof(f7945,plain,
( spl13_508
| ~ spl13_231
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2325,f2254,f2047,f7943]) ).
fof(f7943,plain,
( spl13_508
<=> ! [X0,X1] :
( ~ leq(sK10(m_Down(X0)),pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_508])]) ).
fof(f2325,plain,
( ! [X0,X1] :
( ~ leq(sK10(m_Down(X0)),pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_231
| ~ spl13_250 ),
inference(superposition,[],[f2048,f2255]) ).
fof(f7941,plain,
( spl13_507
| ~ spl13_132
| ~ spl13_244 ),
inference(avatar_split_clause,[],[f2220,f2190,f1160,f7939]) ).
fof(f7939,plain,
( spl13_507
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK11(head(X0),tail(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_507])]) ).
fof(f1160,plain,
( spl13_132
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).
fof(f2220,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK11(head(X0),tail(X0)))) )
| ~ spl13_132
| ~ spl13_244 ),
inference(resolution,[],[f2191,f1161]) ).
fof(f1161,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) )
| ~ spl13_132 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f7937,plain,
( spl13_506
| ~ spl13_133
| ~ spl13_243 ),
inference(avatar_split_clause,[],[f2204,f2186,f1164,f7935]) ).
fof(f7935,plain,
( spl13_506
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK12(last(X0),init(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_506])]) ).
fof(f1164,plain,
( spl13_133
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).
fof(f2204,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK12(last(X0),init(X0)))) )
| ~ spl13_133
| ~ spl13_243 ),
inference(resolution,[],[f2187,f1165]) ).
fof(f1165,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) )
| ~ spl13_133 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f7853,plain,
( spl13_287
| ~ spl13_43
| ~ spl13_303 ),
inference(avatar_split_clause,[],[f5821,f2918,f583,f2779]) ).
fof(f2779,plain,
( spl13_287
<=> leq(index(elid,host(sK7)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_287])]) ).
fof(f583,plain,
( spl13_43
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f2918,plain,
( spl13_303
<=> ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,index(elid,host(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_303])]) ).
fof(f5821,plain,
( leq(index(elid,host(sK7)),sK6)
| ~ spl13_43
| ~ spl13_303 ),
inference(resolution,[],[f2919,f584]) ).
fof(f584,plain,
( ! [X0] : leq(X0,X0)
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f2919,plain,
( ! [X0] :
( ~ leq(X0,index(elid,host(sK7)))
| leq(X0,sK6) )
| ~ spl13_303 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f7757,plain,
( spl13_505
| ~ spl13_128
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2364,f2340,f1107,f7755]) ).
fof(f7755,plain,
( spl13_505
<=> ! [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,[spl13_505])]) ).
fof(f2364,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| X2 = X3
| elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl13_128
| ~ spl13_253 ),
inference(superposition,[],[f2341,f1108]) ).
fof(f7753,plain,
( spl13_504
| ~ spl13_118
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f2348,f2336,f1026,f7751]) ).
fof(f7751,plain,
( spl13_504
<=> ! [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,[spl13_504])]) ).
fof(f1026,plain,
( spl13_118
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).
fof(f2348,plain,
( ! [X0,X1] :
( ordered(cons(X1,X0))
| ~ sP1(last(X0),cons(X1,init(X0)))
| ~ ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_252 ),
inference(superposition,[],[f2337,f1027]) ).
fof(f1027,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl13_118 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f7749,plain,
( spl13_503
| ~ spl13_114
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2276,f2238,f982,f7747]) ).
fof(f7747,plain,
( spl13_503
<=> ! [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,[spl13_503])]) ).
fof(f982,plain,
( spl13_114
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).
fof(f2276,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP0(head(X0),snoc(tail(X0),X1))
| ~ ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_114
| ~ spl13_246 ),
inference(superposition,[],[f983,f2239]) ).
fof(f983,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl13_114 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f7745,plain,
( spl13_502
| ~ spl13_127
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2162,f2135,f1103,f7743]) ).
fof(f7743,plain,
( spl13_502
<=> ! [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,[spl13_502])]) ).
fof(f1103,plain,
( spl13_127
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).
fof(f2162,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_127
| ~ spl13_238 ),
inference(resolution,[],[f2136,f1104]) ).
fof(f1104,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl13_127 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f7480,plain,
( spl13_501
| ~ spl13_119
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2455,f2383,f1030,f7478]) ).
fof(f7478,plain,
( spl13_501
<=> ! [X0,X1] :
( elem(sK12(X1,X0),tail(X0))
| head(X0) = sK12(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_501])]) ).
fof(f1030,plain,
( spl13_119
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).
fof(f2455,plain,
( ! [X0,X1] :
( elem(sK12(X1,X0),tail(X0))
| head(X0) = sK12(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl13_119
| ~ spl13_257 ),
inference(superposition,[],[f2384,f1031]) ).
fof(f1031,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl13_119 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f7476,plain,
( spl13_500
| ~ spl13_119
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2444,f2379,f1030,f7474]) ).
fof(f7474,plain,
( spl13_500
<=> ! [X0,X1] :
( elem(sK11(X1,X0),tail(X0))
| head(X0) = sK11(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_500])]) ).
fof(f2444,plain,
( ! [X0,X1] :
( elem(sK11(X1,X0),tail(X0))
| head(X0) = sK11(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl13_119
| ~ spl13_256 ),
inference(superposition,[],[f2380,f1031]) ).
fof(f7472,plain,
( spl13_499
| ~ spl13_118
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2414,f2375,f1026,f7470]) ).
fof(f7470,plain,
( spl13_499
<=> ! [X0,X1] :
( elem(sK12(X1,X0),init(X0))
| last(X0) = sK12(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_499])]) ).
fof(f2414,plain,
( ! [X0,X1] :
( elem(sK12(X1,X0),init(X0))
| last(X0) = sK12(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_255 ),
inference(superposition,[],[f2376,f1027]) ).
fof(f7453,plain,
( spl13_498
| ~ spl13_118
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2394,f2371,f1026,f7451]) ).
fof(f7451,plain,
( spl13_498
<=> ! [X0,X1] :
( elem(sK11(X1,X0),init(X0))
| last(X0) = sK11(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_498])]) ).
fof(f2394,plain,
( ! [X0,X1] :
( elem(sK11(X1,X0),init(X0))
| last(X0) = sK11(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_254 ),
inference(superposition,[],[f2372,f1027]) ).
fof(f7449,plain,
( spl13_497
| ~ spl13_246
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2366,f2340,f2238,f7447]) ).
fof(f7447,plain,
( spl13_497
<=> ! [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,[spl13_497])]) ).
fof(f2366,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| X1 = X2
| elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_246
| ~ spl13_253 ),
inference(superposition,[],[f2341,f2239]) ).
fof(f7445,plain,
( spl13_496
| ~ spl13_118
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2363,f2340,f1026,f7443]) ).
fof(f7443,plain,
( spl13_496
<=> ! [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,[spl13_496])]) ).
fof(f2363,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,X0))
| last(X0) = X1
| elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_253 ),
inference(superposition,[],[f2341,f1027]) ).
fof(f7441,plain,
( spl13_495
| ~ spl13_130
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2278,f2238,f1116,f7439]) ).
fof(f7439,plain,
( spl13_495
<=> ! [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,[spl13_495])]) ).
fof(f2278,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| head(X0) = X2
| elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_130
| ~ spl13_246 ),
inference(superposition,[],[f1117,f2239]) ).
fof(f7437,plain,
( spl13_494
| ~ spl13_128
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2277,f2238,f1107,f7435]) ).
fof(f7435,plain,
( spl13_494
<=> ! [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,[spl13_494])]) ).
fof(f2277,plain,
( ! [X2,X0,X1] :
( cons(head(X0),snoc(snoc(tail(X0),X1),X2)) = snoc(snoc(X0,X1),X2)
| q_nil = X0 )
| ~ spl13_128
| ~ spl13_246 ),
inference(superposition,[],[f1108,f2239]) ).
fof(f7433,plain,
( spl13_493
| ~ spl13_238
| ~ spl13_242 ),
inference(avatar_split_clause,[],[f2195,f2182,f2135,f7431]) ).
fof(f7431,plain,
( spl13_493
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_493])]) ).
fof(f2182,plain,
( spl13_242
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_242])]) ).
fof(f2195,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) )
| ~ spl13_238
| ~ spl13_242 ),
inference(resolution,[],[f2183,f2136]) ).
fof(f2183,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl13_242 ),
inference(avatar_component_clause,[],[f2182]) ).
fof(f7429,plain,
( spl13_492
| ~ spl13_229
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2161,f2135,f2039,f7427]) ).
fof(f7427,plain,
( spl13_492
<=> ! [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,[spl13_492])]) ).
fof(f2039,plain,
( spl13_229
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_229])]) ).
fof(f2161,plain,
( ! [X2,X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl13_229
| ~ spl13_238 ),
inference(resolution,[],[f2136,f2040]) ).
fof(f2040,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X2))
| leq(X0,s(X1))
| ~ leq(X2,X1) )
| ~ spl13_229 ),
inference(avatar_component_clause,[],[f2039]) ).
fof(f7264,plain,
( ~ spl13_491
| ~ spl13_357 ),
inference(avatar_split_clause,[],[f3691,f3644,f7261]) ).
fof(f3644,plain,
( spl13_357
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_357])]) ).
fof(f3691,plain,
( ~ elem(m_Down(sK9),queue(host(sK7)))
| ~ spl13_357 ),
inference(equality_resolution,[],[f3645]) ).
fof(f3645,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_357 ),
inference(avatar_component_clause,[],[f3644]) ).
fof(f7258,plain,
( spl13_490
| ~ spl13_101
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2323,f2254,f888,f7256]) ).
fof(f7256,plain,
( spl13_490
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK10(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_490])]) ).
fof(f888,plain,
( spl13_101
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).
fof(f2323,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK10(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_101
| ~ spl13_250 ),
inference(superposition,[],[f889,f2255]) ).
fof(f889,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 )
| ~ spl13_101 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f7254,plain,
( spl13_489
| ~ spl13_229
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2111,f2059,f2039,f7252]) ).
fof(f7252,plain,
( spl13_489
<=> ! [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,[spl13_489])]) ).
fof(f2111,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl13_229
| ~ spl13_234 ),
inference(resolution,[],[f2060,f2040]) ).
fof(f7250,plain,
( spl13_488
| ~ spl13_129
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1645,f1603,f1111,f7248]) ).
fof(f7248,plain,
( spl13_488
<=> ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_488])]) ).
fof(f1603,plain,
( spl13_190
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_190])]) ).
fof(f1645,plain,
( ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) )
| ~ spl13_129
| ~ spl13_190 ),
inference(resolution,[],[f1604,f1112]) ).
fof(f1604,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl13_190 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f7246,plain,
( spl13_487
| ~ spl13_130
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1638,f1599,f1116,f7244]) ).
fof(f7244,plain,
( spl13_487
<=> ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_487])]) ).
fof(f1599,plain,
( spl13_189
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_189])]) ).
fof(f1638,plain,
( ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) )
| ~ spl13_130
| ~ spl13_189 ),
inference(resolution,[],[f1600,f1117]) ).
fof(f1600,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl13_189 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f7176,plain,
( spl13_486
| ~ spl13_128
| ~ spl13_241 ),
inference(avatar_split_clause,[],[f2178,f2148,f1107,f7174]) ).
fof(f7174,plain,
( spl13_486
<=> ! [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,[spl13_486])]) ).
fof(f2148,plain,
( spl13_241
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_241])]) ).
fof(f2178,plain,
( ! [X2,X3,X0,X1,X4] :
( ordered(cons(X4,cons(X0,snoc(X1,m_Ack(X2,X3)))))
| ~ ordered(cons(X4,cons(X0,X1))) )
| ~ spl13_128
| ~ spl13_241 ),
inference(superposition,[],[f2149,f1108]) ).
fof(f2149,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_241 ),
inference(avatar_component_clause,[],[f2148]) ).
fof(f7172,plain,
( spl13_485
| ~ spl13_128
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2170,f2139,f1107,f7170]) ).
fof(f7170,plain,
( spl13_485
<=> ! [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,[spl13_485])]) ).
fof(f2139,plain,
( spl13_239
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_239])]) ).
fof(f2170,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| ~ elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl13_128
| ~ spl13_239 ),
inference(superposition,[],[f2140,f1108]) ).
fof(f2140,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl13_239 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f7168,plain,
( spl13_484
| ~ spl13_116
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2159,f2135,f990,f7166]) ).
fof(f7166,plain,
( spl13_484
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_484])]) ).
fof(f990,plain,
( spl13_116
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).
fof(f2159,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) )
| ~ spl13_116
| ~ spl13_238 ),
inference(resolution,[],[f2136,f991]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl13_116 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f7164,plain,
( ~ spl13_483
| ~ spl13_356 ),
inference(avatar_split_clause,[],[f3651,f3641,f7161]) ).
fof(f7161,plain,
( spl13_483
<=> elem(m_Down(sK7),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_483])]) ).
fof(f3641,plain,
( spl13_356
<=> ! [X1] :
( host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_356])]) ).
fof(f3651,plain,
( ~ elem(m_Down(sK7),queue(host(sK9)))
| ~ spl13_356 ),
inference(equality_resolution,[],[f3642]) ).
fof(f3642,plain,
( ! [X1] :
( host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(sK9))) )
| ~ spl13_356 ),
inference(avatar_component_clause,[],[f3641]) ).
fof(f6851,plain,
( spl13_482
| ~ spl13_89
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2362,f2340,f827,f6849]) ).
fof(f6849,plain,
( spl13_482
<=> ! [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,[spl13_482])]) ).
fof(f827,plain,
( spl13_89
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).
fof(f2362,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,cons(X0,q_nil)))
| X0 = X1
| elem(X1,cons(X2,q_nil)) )
| ~ spl13_89
| ~ spl13_253 ),
inference(superposition,[],[f2341,f828]) ).
fof(f828,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl13_89 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f6847,plain,
( spl13_481
| ~ spl13_288
| ~ spl13_334 ),
inference(avatar_split_clause,[],[f3308,f3293,f2790,f6844]) ).
fof(f6844,plain,
( spl13_481
<=> leq(sK7,s(s(s(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_481])]) ).
fof(f3308,plain,
( leq(sK7,s(s(s(sK6))))
| ~ spl13_288
| ~ spl13_334 ),
inference(resolution,[],[f3294,f2791]) ).
fof(f6842,plain,
( spl13_480
| ~ spl13_89
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f2347,f2336,f827,f6840]) ).
fof(f6840,plain,
( spl13_480
<=> ! [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,[spl13_480])]) ).
fof(f2347,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(X0,q_nil)))
| ~ sP1(X0,cons(X1,q_nil))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl13_89
| ~ spl13_252 ),
inference(superposition,[],[f2337,f828]) ).
fof(f6838,plain,
( spl13_479
| ~ spl13_241
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2268,f2238,f2148,f6836]) ).
fof(f6836,plain,
( spl13_479
<=> ! [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,[spl13_479])]) ).
fof(f2268,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_241
| ~ spl13_246 ),
inference(superposition,[],[f2149,f2239]) ).
fof(f6834,plain,
( spl13_478
| ~ spl13_239
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2261,f2238,f2139,f6832]) ).
fof(f6832,plain,
( spl13_478
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_478])]) ).
fof(f2261,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_239
| ~ spl13_246 ),
inference(superposition,[],[f2140,f2239]) ).
fof(f6830,plain,
( spl13_477
| ~ spl13_197
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2163,f2135,f1677,f6828]) ).
fof(f6828,plain,
( spl13_477
<=> ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_477])]) ).
fof(f1677,plain,
( spl13_197
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_197])]) ).
fof(f2163,plain,
( ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) )
| ~ spl13_197
| ~ spl13_238 ),
inference(resolution,[],[f2136,f1678]) ).
fof(f1678,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl13_197 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f6826,plain,
( spl13_476
| ~ spl13_117
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2158,f2135,f994,f6824]) ).
fof(f6824,plain,
( spl13_476
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_476])]) ).
fof(f2158,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl13_117
| ~ spl13_238 ),
inference(resolution,[],[f2136,f995]) ).
fof(f6822,plain,
( spl13_475
| ~ spl13_216
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2157,f2135,f1904,f6820]) ).
fof(f6820,plain,
( spl13_475
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_475])]) ).
fof(f2157,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl13_216
| ~ spl13_238 ),
inference(resolution,[],[f2136,f1905]) ).
fof(f6818,plain,
( spl13_474
| ~ spl13_128
| ~ spl13_236 ),
inference(avatar_split_clause,[],[f2131,f2067,f1107,f6816]) ).
fof(f6816,plain,
( spl13_474
<=> ! [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,[spl13_474])]) ).
fof(f2067,plain,
( spl13_236
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_236])]) ).
fof(f2131,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X3,cons(X0,snoc(X1,m_Ldr(X2)))))
| ~ ordered(cons(X3,cons(X0,X1))) )
| ~ spl13_128
| ~ spl13_236 ),
inference(superposition,[],[f2068,f1108]) ).
fof(f2068,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_236 ),
inference(avatar_component_clause,[],[f2067]) ).
fof(f6814,plain,
( spl13_473
| ~ spl13_128
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2123,f2063,f1107,f6812]) ).
fof(f6812,plain,
( spl13_473
<=> ! [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,[spl13_473])]) ).
fof(f2063,plain,
( spl13_235
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_235])]) ).
fof(f2123,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| sP1(X2,cons(X3,cons(X0,X1))) )
| ~ spl13_128
| ~ spl13_235 ),
inference(superposition,[],[f2064,f1108]) ).
fof(f2064,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl13_235 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f6759,plain,
( spl13_472
| ~ spl13_117
| ~ spl13_273 ),
inference(avatar_split_clause,[],[f2953,f2586,f994,f6757]) ).
fof(f6757,plain,
( spl13_472
<=> ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_472])]) ).
fof(f2953,plain,
( ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,sK7) )
| ~ spl13_117
| ~ spl13_273 ),
inference(resolution,[],[f2588,f995]) ).
fof(f6253,plain,
( spl13_471
| ~ spl13_92
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f2345,f2336,f839,f6251]) ).
fof(f6251,plain,
( spl13_471
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_471])]) ).
fof(f839,plain,
( spl13_92
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f2345,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) )
| ~ spl13_92
| ~ spl13_252 ),
inference(resolution,[],[f2337,f840]) ).
fof(f840,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl13_92 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f6249,plain,
( spl13_470
| ~ spl13_109
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2275,f2238,f921,f6247]) ).
fof(f6247,plain,
( spl13_470
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_470])]) ).
fof(f921,plain,
( spl13_109
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).
fof(f2275,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_109
| ~ spl13_246 ),
inference(superposition,[],[f922,f2239]) ).
fof(f922,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl13_109 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f6245,plain,
( spl13_469
| ~ spl13_92
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2274,f2238,f839,f6243]) ).
fof(f6243,plain,
( spl13_469
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_469])]) ).
fof(f2274,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_92
| ~ spl13_246 ),
inference(superposition,[],[f840,f2239]) ).
fof(f6241,plain,
( spl13_468
| ~ spl13_236
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2267,f2238,f2067,f6239]) ).
fof(f6239,plain,
( spl13_468
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_468])]) ).
fof(f2267,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_236
| ~ spl13_246 ),
inference(superposition,[],[f2068,f2239]) ).
fof(f6237,plain,
( spl13_467
| ~ spl13_235
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2262,f2238,f2063,f6235]) ).
fof(f6235,plain,
( spl13_467
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_467])]) ).
fof(f2262,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_235
| ~ spl13_246 ),
inference(superposition,[],[f2064,f2239]) ).
fof(f6233,plain,
( spl13_466
| ~ spl13_118
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2169,f2139,f1026,f6231]) ).
fof(f6231,plain,
( spl13_466
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_466])]) ).
fof(f2169,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_239 ),
inference(superposition,[],[f2140,f1027]) ).
fof(f6212,plain,
( spl13_465
| ~ spl13_188
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2164,f2135,f1595,f6210]) ).
fof(f6210,plain,
( spl13_465
<=> ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_465])]) ).
fof(f1595,plain,
( spl13_188
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_188])]) ).
fof(f2164,plain,
( ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) )
| ~ spl13_188
| ~ spl13_238 ),
inference(resolution,[],[f2136,f1596]) ).
fof(f1596,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl13_188 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f6208,plain,
( spl13_464
| ~ spl13_187
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2160,f2135,f1591,f6206]) ).
fof(f6206,plain,
( spl13_464
<=> ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_464])]) ).
fof(f1591,plain,
( spl13_187
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_187])]) ).
fof(f2160,plain,
( ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) )
| ~ spl13_187
| ~ spl13_238 ),
inference(resolution,[],[f2136,f1592]) ).
fof(f1592,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl13_187 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f6204,plain,
( spl13_463
| ~ spl13_118
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2122,f2063,f1026,f6202]) ).
fof(f6202,plain,
( spl13_463
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_463])]) ).
fof(f2122,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_235 ),
inference(superposition,[],[f2064,f1027]) ).
fof(f6200,plain,
( spl13_462
| ~ spl13_114
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2120,f2063,f982,f6198]) ).
fof(f6198,plain,
( spl13_462
<=> ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_462])]) ).
fof(f2120,plain,
( ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) )
| ~ spl13_114
| ~ spl13_235 ),
inference(resolution,[],[f2064,f983]) ).
fof(f6196,plain,
( spl13_461
| ~ spl13_197
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2113,f2059,f1677,f6194]) ).
fof(f6194,plain,
( spl13_461
<=> ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_461])]) ).
fof(f2113,plain,
( ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) )
| ~ spl13_197
| ~ spl13_234 ),
inference(resolution,[],[f2060,f1678]) ).
fof(f6192,plain,
( spl13_460
| ~ spl13_117
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2108,f2059,f994,f6190]) ).
fof(f6190,plain,
( spl13_460
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_460])]) ).
fof(f2108,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl13_117
| ~ spl13_234 ),
inference(resolution,[],[f2060,f995]) ).
fof(f6188,plain,
( spl13_459
| ~ spl13_216
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2107,f2059,f1904,f6186]) ).
fof(f6186,plain,
( spl13_459
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_459])]) ).
fof(f2107,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl13_216
| ~ spl13_234 ),
inference(resolution,[],[f2060,f1905]) ).
fof(f6184,plain,
( spl13_458
| ~ spl13_128
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2027,f1957,f1107,f6182]) ).
fof(f6182,plain,
( spl13_458
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_458])]) ).
fof(f1957,plain,
( spl13_226
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_226])]) ).
fof(f2027,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) )
| ~ spl13_128
| ~ spl13_226 ),
inference(superposition,[],[f1958,f1108]) ).
fof(f1958,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl13_226 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f6180,plain,
( spl13_457
| ~ spl13_128
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2015,f1949,f1107,f6178]) ).
fof(f6178,plain,
( spl13_457
<=> ! [X0,X3,X2,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_457])]) ).
fof(f1949,plain,
( spl13_224
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_224])]) ).
fof(f2015,plain,
( ! [X2,X3,X0,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl13_128
| ~ spl13_224 ),
inference(superposition,[],[f1950,f1108]) ).
fof(f1950,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl13_224 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f6176,plain,
( spl13_456
| ~ spl13_218
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2007,f1945,f1925,f6174]) ).
fof(f6174,plain,
( spl13_456
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK12(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_456])]) ).
fof(f1945,plain,
( spl13_223
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_223])]) ).
fof(f2007,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK12(X0,X1)))) )
| ~ spl13_218
| ~ spl13_223 ),
inference(resolution,[],[f1946,f1926]) ).
fof(f1946,plain,
( ! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
| sP1(X0,X1) )
| ~ spl13_223 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f5841,plain,
( spl13_455
| ~ spl13_14
| ~ spl13_155
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f5744,f1904,f1295,f412,f5839]) ).
fof(f5839,plain,
( spl13_455
<=> ! [X0] :
( leq(X0,sK6)
| leq(index(elid,host(sK7)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_455])]) ).
fof(f1295,plain,
( spl13_155
<=> leq(index(elid,host(sK7)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_155])]) ).
fof(f5744,plain,
( ! [X0] :
( leq(X0,sK6)
| leq(index(elid,host(sK7)),X0) )
| ~ spl13_14
| ~ spl13_155
| ~ spl13_216 ),
inference(forward_demodulation,[],[f2432,f414]) ).
fof(f2432,plain,
( ! [X0] :
( leq(index(elid,host(sK7)),X0)
| leq(X0,sK3) )
| ~ spl13_155
| ~ spl13_216 ),
inference(resolution,[],[f1297,f1905]) ).
fof(f1297,plain,
( leq(index(elid,host(sK7)),sK3)
| ~ spl13_155 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f5820,plain,
( spl13_303
| ~ spl13_14
| ~ spl13_117
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f5742,f1295,f994,f412,f2918]) ).
fof(f5742,plain,
( ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,index(elid,host(sK7))) )
| ~ spl13_14
| ~ spl13_117
| ~ spl13_155 ),
inference(forward_demodulation,[],[f2433,f414]) ).
fof(f2433,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,index(elid,host(sK7))) )
| ~ spl13_117
| ~ spl13_155 ),
inference(resolution,[],[f1297,f995]) ).
fof(f5790,plain,
( spl13_287
| ~ spl13_14
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f5748,f1295,f412,f2779]) ).
fof(f5748,plain,
( leq(index(elid,host(sK7)),sK6)
| ~ spl13_14
| ~ spl13_155 ),
inference(forward_demodulation,[],[f1297,f414]) ).
fof(f5753,plain,
( spl13_454
| ~ spl13_290
| ~ spl13_303 ),
inference(avatar_split_clause,[],[f5723,f2918,f2841,f5751]) ).
fof(f5751,plain,
( spl13_454
<=> ! [X0] :
( leq(X0,sK7)
| ~ leq(X0,index(elid,host(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_454])]) ).
fof(f2841,plain,
( spl13_290
<=> sK6 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_290])]) ).
fof(f5723,plain,
( ! [X0] :
( leq(X0,sK7)
| ~ leq(X0,index(elid,host(sK7))) )
| ~ spl13_290
| ~ spl13_303 ),
inference(forward_demodulation,[],[f2919,f2842]) ).
fof(f2842,plain,
( sK6 = sK7
| ~ spl13_290 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f5718,plain,
( spl13_453
| spl13_287
| ~ spl13_288 ),
inference(avatar_split_clause,[],[f2925,f2790,f2779,f5715]) ).
fof(f5715,plain,
( spl13_453
<=> leq(sK7,index(elid,host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_453])]) ).
fof(f2925,plain,
( leq(sK7,index(elid,host(sK7)))
| spl13_287
| ~ spl13_288 ),
inference(resolution,[],[f2780,f2791]) ).
fof(f2780,plain,
( ~ leq(index(elid,host(sK7)),sK6)
| spl13_287 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f5444,plain,
( ~ spl13_452
| ~ spl13_181
| ~ spl13_295 ),
inference(avatar_split_clause,[],[f2884,f2870,f1559,f5441]) ).
fof(f5441,plain,
( spl13_452
<=> leq(s(s(s(sK6))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_452])]) ).
fof(f1559,plain,
( spl13_181
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_181])]) ).
fof(f2884,plain,
( ~ leq(s(s(s(sK6))),sK7)
| ~ spl13_181
| ~ spl13_295 ),
inference(resolution,[],[f2871,f1560]) ).
fof(f1560,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_181 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f5418,plain,
( spl13_451
| ~ spl13_109
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2357,f2340,f921,f5416]) ).
fof(f5416,plain,
( spl13_451
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_451])]) ).
fof(f2357,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) )
| ~ spl13_109
| ~ spl13_253 ),
inference(resolution,[],[f2341,f922]) ).
fof(f5414,plain,
( spl13_450
| ~ spl13_81
| ~ spl13_252 ),
inference(avatar_split_clause,[],[f2346,f2336,f786,f5412]) ).
fof(f5412,plain,
( spl13_450
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_450])]) ).
fof(f786,plain,
( spl13_81
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).
fof(f2346,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) )
| ~ spl13_81
| ~ spl13_252 ),
inference(resolution,[],[f2337,f787]) ).
fof(f787,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl13_81 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f5410,plain,
( spl13_449
| ~ spl13_226
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2263,f2238,f1957,f5408]) ).
fof(f5408,plain,
( spl13_449
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_449])]) ).
fof(f2263,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl13_226
| ~ spl13_246 ),
inference(superposition,[],[f1958,f2239]) ).
fof(f5406,plain,
( spl13_448
| ~ spl13_130
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2167,f2139,f1116,f5404]) ).
fof(f5404,plain,
( spl13_448
<=> ! [X0,X3,X2,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_448])]) ).
fof(f2167,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) )
| ~ spl13_130
| ~ spl13_239 ),
inference(resolution,[],[f2140,f1117]) ).
fof(f5402,plain,
( spl13_447
| ~ spl13_104
| ~ spl13_238 ),
inference(avatar_split_clause,[],[f2152,f2135,f901,f5400]) ).
fof(f5400,plain,
( spl13_447
<=> ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_447])]) ).
fof(f2152,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) )
| ~ spl13_104
| ~ spl13_238 ),
inference(resolution,[],[f2136,f902]) ).
fof(f5398,plain,
( spl13_446
| ~ spl13_127
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2117,f2059,f1103,f5396]) ).
fof(f5396,plain,
( spl13_446
<=> ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_446])]) ).
fof(f2117,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_127
| ~ spl13_234 ),
inference(duplicate_literal_removal,[],[f2112]) ).
fof(f2112,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_127
| ~ spl13_234 ),
inference(resolution,[],[f2060,f1104]) ).
fof(f5394,plain,
( spl13_445
| ~ spl13_188
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2114,f2059,f1595,f5392]) ).
fof(f5392,plain,
( spl13_445
<=> ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_445])]) ).
fof(f2114,plain,
( ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) )
| ~ spl13_188
| ~ spl13_234 ),
inference(resolution,[],[f2060,f1596]) ).
fof(f5390,plain,
( spl13_444
| ~ spl13_187
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2110,f2059,f1591,f5388]) ).
fof(f5388,plain,
( spl13_444
<=> ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_444])]) ).
fof(f2110,plain,
( ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) )
| ~ spl13_187
| ~ spl13_234 ),
inference(resolution,[],[f2060,f1592]) ).
fof(f5386,plain,
( spl13_443
| ~ spl13_95
| ~ spl13_233 ),
inference(avatar_split_clause,[],[f2100,f2055,f851,f5384]) ).
fof(f5384,plain,
( spl13_443
<=> ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Down(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_443])]) ).
fof(f851,plain,
( spl13_95
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).
fof(f2100,plain,
( ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Down(s(X0)),X1)),X0) )
| ~ spl13_95
| ~ spl13_233 ),
inference(resolution,[],[f2056,f852]) ).
fof(f852,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl13_95 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f5379,plain,
( spl13_442
| ~ spl13_117
| ~ spl13_279 ),
inference(avatar_split_clause,[],[f2675,f2669,f994,f5377]) ).
fof(f5377,plain,
( spl13_442
<=> ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_442])]) ).
fof(f2675,plain,
( ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,sK4) )
| ~ spl13_117
| ~ spl13_279 ),
inference(resolution,[],[f2671,f995]) ).
fof(f5375,plain,
( spl13_441
| ~ spl13_95
| ~ spl13_232 ),
inference(avatar_split_clause,[],[f2097,f2051,f851,f5373]) ).
fof(f5373,plain,
( spl13_441
<=> ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Halt(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_441])]) ).
fof(f2051,plain,
( spl13_232
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_232])]) ).
fof(f2097,plain,
( ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK12(m_Halt(s(X0)),X1)),X0) )
| ~ spl13_95
| ~ spl13_232 ),
inference(resolution,[],[f2052,f852]) ).
fof(f2052,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl13_232 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f5371,plain,
( spl13_440
| ~ spl13_95
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2077,f2035,f851,f5369]) ).
fof(f5369,plain,
( spl13_440
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_440])]) ).
fof(f2035,plain,
( spl13_228
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_228])]) ).
fof(f2077,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) )
| ~ spl13_95
| ~ spl13_228 ),
inference(resolution,[],[f2036,f852]) ).
fof(f2036,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) )
| ~ spl13_228 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f5367,plain,
( spl13_439
| ~ spl13_114
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2024,f1957,f982,f5365]) ).
fof(f5365,plain,
( spl13_439
<=> ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_439])]) ).
fof(f2024,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) )
| ~ spl13_114
| ~ spl13_226 ),
inference(resolution,[],[f1958,f983]) ).
fof(f5363,plain,
( spl13_438
| ~ spl13_117
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2009,f1945,f994,f5361]) ).
fof(f5361,plain,
( spl13_438
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK12(X0,X1)))
| ~ leq(X2,pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_438])]) ).
fof(f2009,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK12(X0,X1)))
| ~ leq(X2,pidMsg(X0)) )
| ~ spl13_117
| ~ spl13_223 ),
inference(resolution,[],[f1946,f995]) ).
fof(f5359,plain,
( spl13_437
| ~ spl13_216
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2008,f1945,f1904,f5357]) ).
fof(f5357,plain,
( spl13_437
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_437])]) ).
fof(f2008,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK12(X0,X1))) )
| ~ spl13_216
| ~ spl13_223 ),
inference(resolution,[],[f1946,f1905]) ).
fof(f5355,plain,
( spl13_436
| ~ spl13_106
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2004,f1941,f909,f5353]) ).
fof(f5353,plain,
( spl13_436
<=> ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_436])]) ).
fof(f2004,plain,
( ! [X0,X1] :
( elem(sK12(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) )
| ~ spl13_106
| ~ spl13_222 ),
inference(resolution,[],[f1942,f910]) ).
fof(f5351,plain,
( spl13_435
| ~ spl13_105
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2003,f1941,f905,f5349]) ).
fof(f5349,plain,
( spl13_435
<=> ! [X0,X1] :
( elem(sK11(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_435])]) ).
fof(f2003,plain,
( ! [X0,X1] :
( elem(sK11(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) )
| ~ spl13_105
| ~ spl13_222 ),
inference(resolution,[],[f1942,f906]) ).
fof(f5347,plain,
( spl13_434
| ~ spl13_106
| ~ spl13_220 ),
inference(avatar_split_clause,[],[f1992,f1933,f909,f5345]) ).
fof(f5345,plain,
( spl13_434
<=> ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_434])]) ).
fof(f1992,plain,
( ! [X0,X1] :
( elem(sK12(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) )
| ~ spl13_106
| ~ spl13_220 ),
inference(resolution,[],[f1934,f910]) ).
fof(f5343,plain,
( spl13_433
| ~ spl13_105
| ~ spl13_220 ),
inference(avatar_split_clause,[],[f1991,f1933,f905,f5341]) ).
fof(f5341,plain,
( spl13_433
<=> ! [X0,X1] :
( elem(sK11(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_433])]) ).
fof(f1991,plain,
( ! [X0,X1] :
( elem(sK11(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) )
| ~ spl13_105
| ~ spl13_220 ),
inference(resolution,[],[f1934,f906]) ).
fof(f5338,plain,
( spl13_432
| ~ spl13_216
| ~ spl13_279 ),
inference(avatar_split_clause,[],[f2674,f2669,f1904,f5336]) ).
fof(f5336,plain,
( spl13_432
<=> ! [X0] :
( leq(sK4,X0)
| leq(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_432])]) ).
fof(f2674,plain,
( ! [X0] :
( leq(sK4,X0)
| leq(X0,sK6) )
| ~ spl13_216
| ~ spl13_279 ),
inference(resolution,[],[f2671,f1905]) ).
fof(f5002,plain,
( spl13_431
| ~ spl13_41
| ~ spl13_89
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2425,f2375,f827,f575,f5000]) ).
fof(f5000,plain,
( spl13_431
<=> ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK12(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_431])]) ).
fof(f575,plain,
( spl13_41
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f2425,plain,
( ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK12(X0,cons(X1,q_nil)) = X1 )
| ~ spl13_41
| ~ spl13_89
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2424,f828]) ).
fof(f2424,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,q_nil)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl13_41
| ~ spl13_89
| ~ spl13_255 ),
inference(forward_demodulation,[],[f2412,f828]) ).
fof(f2412,plain,
( ! [X0,X1] :
( sK12(X0,snoc(q_nil,X1)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl13_41
| ~ spl13_255 ),
inference(resolution,[],[f2376,f576]) ).
fof(f576,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f4998,plain,
( spl13_430
| ~ spl13_41
| ~ spl13_89
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2405,f2371,f827,f575,f4996]) ).
fof(f4996,plain,
( spl13_430
<=> ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK11(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_430])]) ).
fof(f2405,plain,
( ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK11(X0,cons(X1,q_nil)) = X1 )
| ~ spl13_41
| ~ spl13_89
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2404,f828]) ).
fof(f2404,plain,
( ! [X0,X1] :
( sK11(X0,cons(X1,q_nil)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl13_41
| ~ spl13_89
| ~ spl13_254 ),
inference(forward_demodulation,[],[f2392,f828]) ).
fof(f2392,plain,
( ! [X0,X1] :
( sK11(X0,snoc(q_nil,X1)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl13_41
| ~ spl13_254 ),
inference(resolution,[],[f2372,f576]) ).
fof(f4994,plain,
( spl13_429
| ~ spl13_56
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2329,f2254,f677,f4992]) ).
fof(f4992,plain,
( spl13_429
<=> ! [X0] :
( sK10(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_429])]) ).
fof(f2329,plain,
( ! [X0] :
( sK10(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_56
| ~ spl13_250 ),
inference(forward_demodulation,[],[f2316,f678]) ).
fof(f2316,plain,
( ! [X0] :
( pidMsg(m_Down(X0)) = sK10(m_Down(X0))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_56
| ~ spl13_250 ),
inference(superposition,[],[f678,f2255]) ).
fof(f4990,plain,
( spl13_428
| ~ spl13_43
| ~ spl13_305 ),
inference(avatar_split_clause,[],[f3014,f2994,f583,f4988]) ).
fof(f4988,plain,
( spl13_428
<=> ! [X0] : ~ elem(m_Ack(X0,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_428])]) ).
fof(f2994,plain,
( spl13_305
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_305])]) ).
fof(f3014,plain,
( ! [X0] : ~ elem(m_Ack(X0,X0),sK2)
| ~ spl13_43
| ~ spl13_305 ),
inference(resolution,[],[f2995,f584]) ).
fof(f2995,plain,
( ! [X0,X1] :
( ~ leq(host(X1),host(X0))
| ~ elem(m_Ack(X0,X1),sK2) )
| ~ spl13_305 ),
inference(avatar_component_clause,[],[f2994]) ).
fof(f4986,plain,
( spl13_427
| ~ spl13_55
| ~ spl13_56
| ~ spl13_249 ),
inference(avatar_split_clause,[],[f2311,f2250,f677,f673,f4984]) ).
fof(f4984,plain,
( spl13_427
<=> ! [X0] :
( sK10(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_427])]) ).
fof(f2250,plain,
( spl13_249
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_249])]) ).
fof(f2311,plain,
( ! [X0] :
( sK10(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_55
| ~ spl13_56
| ~ spl13_249 ),
inference(forward_demodulation,[],[f2300,f674]) ).
fof(f2300,plain,
( ! [X0] :
( pidMsg(m_Halt(X0)) = sK10(m_Halt(X0))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_56
| ~ spl13_249 ),
inference(superposition,[],[f678,f2251]) ).
fof(f2251,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_249 ),
inference(avatar_component_clause,[],[f2250]) ).
fof(f4982,plain,
( spl13_426
| ~ spl13_64
| ~ spl13_249 ),
inference(avatar_split_clause,[],[f2301,f2250,f709,f4980]) ).
fof(f4980,plain,
( spl13_426
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_426])]) ).
fof(f709,plain,
( spl13_64
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f2301,plain,
( ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_64
| ~ spl13_249 ),
inference(superposition,[],[f710,f2251]) ).
fof(f710,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl13_64 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f4978,plain,
( spl13_425
| ~ spl13_81
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2273,f2238,f786,f4976]) ).
fof(f4976,plain,
( spl13_425
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_425])]) ).
fof(f2273,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_81
| ~ spl13_246 ),
inference(superposition,[],[f787,f2239]) ).
fof(f4974,plain,
( spl13_424
| ~ spl13_76
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2272,f2238,f765,f4972]) ).
fof(f4972,plain,
( spl13_424
<=> ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_424])]) ).
fof(f765,plain,
( spl13_76
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f2272,plain,
( ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_76
| ~ spl13_246 ),
inference(superposition,[],[f766,f2239]) ).
fof(f766,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl13_76 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f4970,plain,
( spl13_423
| ~ spl13_89
| ~ spl13_241 ),
inference(avatar_split_clause,[],[f2177,f2148,f827,f4968]) ).
fof(f4968,plain,
( spl13_423
<=> ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_423])]) ).
fof(f2177,plain,
( ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) )
| ~ spl13_89
| ~ spl13_241 ),
inference(superposition,[],[f2149,f828]) ).
fof(f4966,plain,
( spl13_422
| ~ spl13_89
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2168,f2139,f827,f4964]) ).
fof(f4964,plain,
( spl13_422
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_422])]) ).
fof(f2168,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) )
| ~ spl13_89
| ~ spl13_239 ),
inference(superposition,[],[f2140,f828]) ).
fof(f4962,plain,
( spl13_421
| ~ spl13_102
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2073,f2035,f892,f4960]) ).
fof(f4960,plain,
( spl13_421
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_421])]) ).
fof(f892,plain,
( spl13_102
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).
fof(f2073,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) )
| ~ spl13_102
| ~ spl13_228 ),
inference(resolution,[],[f2036,f893]) ).
fof(f893,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl13_102 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f4958,plain,
( spl13_420
| ~ spl13_118
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2026,f1957,f1026,f4956]) ).
fof(f4956,plain,
( spl13_420
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_420])]) ).
fof(f2026,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_226 ),
inference(superposition,[],[f1958,f1027]) ).
fof(f4954,plain,
( spl13_419
| ~ spl13_118
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2014,f1949,f1026,f4952]) ).
fof(f4952,plain,
( spl13_419
<=> ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_419])]) ).
fof(f2014,plain,
( ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_224 ),
inference(superposition,[],[f1950,f1027]) ).
fof(f4950,plain,
( spl13_418
| ~ spl13_189
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2002,f1941,f1599,f4948]) ).
fof(f4948,plain,
( spl13_418
<=> ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_418])]) ).
fof(f2002,plain,
( ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl13_189
| ~ spl13_222 ),
inference(resolution,[],[f1942,f1600]) ).
fof(f4945,plain,
( ~ spl13_417
| ~ spl13_52
| ~ spl13_295 ),
inference(avatar_split_clause,[],[f2881,f2870,f656,f4942]) ).
fof(f4942,plain,
( spl13_417
<=> leq(s(s(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_417])]) ).
fof(f656,plain,
( spl13_52
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).
fof(f2881,plain,
( ~ leq(s(s(sK6)),sK7)
| ~ spl13_52
| ~ spl13_295 ),
inference(resolution,[],[f2871,f657]) ).
fof(f657,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl13_52 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f4940,plain,
( spl13_416
| ~ spl13_190
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2001,f1941,f1603,f4938]) ).
fof(f4938,plain,
( spl13_416
<=> ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_416])]) ).
fof(f2001,plain,
( ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl13_190
| ~ spl13_222 ),
inference(resolution,[],[f1942,f1604]) ).
fof(f4936,plain,
( spl13_415
| ~ spl13_189
| ~ spl13_220 ),
inference(avatar_split_clause,[],[f1990,f1933,f1599,f4934]) ).
fof(f4934,plain,
( spl13_415
<=> ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_415])]) ).
fof(f1990,plain,
( ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl13_189
| ~ spl13_220 ),
inference(resolution,[],[f1934,f1600]) ).
fof(f4932,plain,
( spl13_414
| ~ spl13_190
| ~ spl13_220 ),
inference(avatar_split_clause,[],[f1989,f1933,f1603,f4930]) ).
fof(f4930,plain,
( spl13_414
<=> ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_414])]) ).
fof(f1989,plain,
( ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl13_190
| ~ spl13_220 ),
inference(resolution,[],[f1934,f1604]) ).
fof(f4928,plain,
( spl13_413
| ~ spl13_102
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1976,f1925,f892,f4926]) ).
fof(f4926,plain,
( spl13_413
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_413])]) ).
fof(f1976,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl13_102
| ~ spl13_218 ),
inference(resolution,[],[f1926,f893]) ).
fof(f4924,plain,
( spl13_412
| ~ spl13_193
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1975,f1925,f1655,f4922]) ).
fof(f4922,plain,
( spl13_412
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_412])]) ).
fof(f1655,plain,
( spl13_193
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_193])]) ).
fof(f1975,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) )
| ~ spl13_193
| ~ spl13_218 ),
inference(resolution,[],[f1926,f1656]) ).
fof(f1656,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl13_193 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f4920,plain,
( spl13_411
| ~ spl13_127
| ~ spl13_193 ),
inference(avatar_split_clause,[],[f1696,f1655,f1103,f4918]) ).
fof(f4918,plain,
( spl13_411
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_411])]) ).
fof(f1696,plain,
( ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_127
| ~ spl13_193 ),
inference(resolution,[],[f1656,f1104]) ).
fof(f4839,plain,
( spl13_410
| ~ spl13_181
| ~ spl13_288 ),
inference(avatar_split_clause,[],[f2821,f2790,f1559,f4836]) ).
fof(f4836,plain,
( spl13_410
<=> leq(sK7,s(s(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_410])]) ).
fof(f2821,plain,
( leq(sK7,s(s(sK6)))
| ~ spl13_181
| ~ spl13_288 ),
inference(resolution,[],[f2791,f1560]) ).
fof(f4433,plain,
( spl13_409
| ~ spl13_70
| ~ spl13_244 ),
inference(avatar_split_clause,[],[f2221,f2190,f733,f4431]) ).
fof(f4431,plain,
( spl13_409
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_409])]) ).
fof(f733,plain,
( spl13_70
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f2221,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) )
| ~ spl13_70
| ~ spl13_244 ),
inference(resolution,[],[f2191,f734]) ).
fof(f734,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl13_70 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f4429,plain,
( spl13_408
| ~ spl13_71
| ~ spl13_243 ),
inference(avatar_split_clause,[],[f2205,f2186,f737,f4427]) ).
fof(f4427,plain,
( spl13_408
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_408])]) ).
fof(f737,plain,
( spl13_71
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f2205,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) )
| ~ spl13_71
| ~ spl13_243 ),
inference(resolution,[],[f2187,f738]) ).
fof(f738,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) )
| ~ spl13_71 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f4425,plain,
( spl13_407
| ~ spl13_102
| ~ spl13_242 ),
inference(avatar_split_clause,[],[f2194,f2182,f892,f4423]) ).
fof(f4423,plain,
( spl13_407
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_407])]) ).
fof(f2194,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
| ~ spl13_102
| ~ spl13_242 ),
inference(resolution,[],[f2183,f893]) ).
fof(f4421,plain,
( spl13_406
| ~ spl13_92
| ~ spl13_241 ),
inference(avatar_split_clause,[],[f2175,f2148,f839,f4419]) ).
fof(f4419,plain,
( spl13_406
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_406])]) ).
fof(f2175,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) )
| ~ spl13_92
| ~ spl13_241 ),
inference(resolution,[],[f2149,f840]) ).
fof(f4417,plain,
( spl13_405
| ~ spl13_89
| ~ spl13_236 ),
inference(avatar_split_clause,[],[f2130,f2067,f827,f4415]) ).
fof(f4415,plain,
( spl13_405
<=> ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_405])]) ).
fof(f2130,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl13_89
| ~ spl13_236 ),
inference(superposition,[],[f2068,f828]) ).
fof(f4413,plain,
( spl13_404
| ~ spl13_89
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2121,f2063,f827,f4411]) ).
fof(f4411,plain,
( spl13_404
<=> ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_404])]) ).
fof(f2121,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) )
| ~ spl13_89
| ~ spl13_235 ),
inference(superposition,[],[f2064,f828]) ).
fof(f4409,plain,
( spl13_403
| ~ spl13_102
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2090,f2039,f892,f4407]) ).
fof(f4407,plain,
( spl13_403
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_403])]) ).
fof(f2090,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) )
| ~ spl13_102
| ~ spl13_229 ),
inference(resolution,[],[f2040,f893]) ).
fof(f4405,plain,
( spl13_402
| ~ spl13_193
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2089,f2039,f1655,f4403]) ).
fof(f4403,plain,
( spl13_402
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_402])]) ).
fof(f2089,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) )
| ~ spl13_193
| ~ spl13_229 ),
inference(resolution,[],[f2040,f1656]) ).
fof(f4401,plain,
( spl13_401
| ~ spl13_56
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2012,f1945,f677,f4399]) ).
fof(f4399,plain,
( spl13_401
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_401])]) ).
fof(f2012,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) )
| ~ spl13_56
| ~ spl13_223 ),
inference(superposition,[],[f1946,f678]) ).
fof(f4397,plain,
( spl13_400
| ~ spl13_55
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2011,f1945,f673,f4395]) ).
fof(f4395,plain,
( spl13_400
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_400])]) ).
fof(f2011,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) )
| ~ spl13_55
| ~ spl13_223 ),
inference(superposition,[],[f1946,f674]) ).
fof(f4393,plain,
( spl13_399
| ~ spl13_95
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1970,f1925,f851,f4391]) ).
fof(f4391,plain,
( spl13_399
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_399])]) ).
fof(f1970,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl13_95
| ~ spl13_218 ),
inference(resolution,[],[f1926,f852]) ).
fof(f4389,plain,
( spl13_398
| ~ spl13_102
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1916,f1904,f892,f4387]) ).
fof(f4387,plain,
( spl13_398
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_398])]) ).
fof(f1916,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl13_102
| ~ spl13_216 ),
inference(resolution,[],[f1905,f893]) ).
fof(f4385,plain,
( spl13_397
| ~ spl13_193
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1915,f1904,f1655,f4383]) ).
fof(f4383,plain,
( spl13_397
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_397])]) ).
fof(f1915,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl13_193
| ~ spl13_216 ),
inference(resolution,[],[f1905,f1656]) ).
fof(f4381,plain,
( spl13_396
| ~ spl13_117
| ~ spl13_193 ),
inference(avatar_split_clause,[],[f1698,f1655,f994,f4379]) ).
fof(f4379,plain,
( spl13_396
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_396])]) ).
fof(f1698,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) )
| ~ spl13_117
| ~ spl13_193 ),
inference(resolution,[],[f1656,f995]) ).
fof(f4232,plain,
( ~ spl13_395
| ~ spl13_139
| spl13_354 ),
inference(avatar_split_clause,[],[f3624,f3617,f1221,f4229]) ).
fof(f4229,plain,
( spl13_395
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_395])]) ).
fof(f3617,plain,
( spl13_354
<=> elem(m_Down(sK8),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_354])]) ).
fof(f3624,plain,
( ~ elem(m_Down(sK8),sK2)
| ~ spl13_139
| spl13_354 ),
inference(resolution,[],[f3619,f1222]) ).
fof(f3619,plain,
( ~ elem(m_Down(sK8),queue(host(sK7)))
| spl13_354 ),
inference(avatar_component_clause,[],[f3617]) ).
fof(f4191,plain,
( spl13_394
| ~ spl13_75
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2271,f2238,f761,f4189]) ).
fof(f4189,plain,
( spl13_394
<=> ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_394])]) ).
fof(f761,plain,
( spl13_75
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f2271,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_75
| ~ spl13_246 ),
inference(superposition,[],[f762,f2239]) ).
fof(f762,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl13_75 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f4187,plain,
( spl13_393
| ~ spl13_81
| ~ spl13_241 ),
inference(avatar_split_clause,[],[f2176,f2148,f786,f4185]) ).
fof(f4185,plain,
( spl13_393
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_393])]) ).
fof(f2176,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl13_81
| ~ spl13_241 ),
inference(resolution,[],[f2149,f787]) ).
fof(f4183,plain,
( spl13_392
| ~ spl13_92
| ~ spl13_236 ),
inference(avatar_split_clause,[],[f2128,f2067,f839,f4181]) ).
fof(f4181,plain,
( spl13_392
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_392])]) ).
fof(f2128,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) )
| ~ spl13_92
| ~ spl13_236 ),
inference(resolution,[],[f2068,f840]) ).
fof(f4179,plain,
( spl13_391
| ~ spl13_89
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2013,f1949,f827,f4177]) ).
fof(f4177,plain,
( spl13_391
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_391])]) ).
fof(f2013,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl13_89
| ~ spl13_224 ),
inference(superposition,[],[f1950,f828]) ).
fof(f4175,plain,
( spl13_390
| ~ spl13_80
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1968,f1925,f782,f4173]) ).
fof(f4173,plain,
( spl13_390
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_390])]) ).
fof(f782,plain,
( spl13_80
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f1968,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl13_80
| ~ spl13_218 ),
inference(resolution,[],[f1926,f783]) ).
fof(f783,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl13_80 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f4171,plain,
( spl13_389
| ~ spl13_95
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1910,f1904,f851,f4169]) ).
fof(f1910,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl13_95
| ~ spl13_216 ),
inference(resolution,[],[f1905,f852]) ).
fof(f4167,plain,
( spl13_388
| ~ spl13_128
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1719,f1689,f1107,f4165]) ).
fof(f4165,plain,
( spl13_388
<=> ! [X2,X0,X1,X3] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_388])]) ).
fof(f1689,plain,
( spl13_200
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_200])]) ).
fof(f1719,plain,
( ! [X2,X3,X0,X1] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2
| ~ spl13_128
| ~ spl13_200 ),
inference(superposition,[],[f1690,f1108]) ).
fof(f1690,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl13_200 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f4163,plain,
( spl13_387
| ~ spl13_118
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1718,f1689,f1026,f4161]) ).
fof(f4161,plain,
( spl13_387
<=> ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_387])]) ).
fof(f1718,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_200 ),
inference(superposition,[],[f1690,f1027]) ).
fof(f3958,plain,
( spl13_386
| ~ spl13_73
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2270,f2238,f745,f3956]) ).
fof(f3956,plain,
( spl13_386
<=> ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_386])]) ).
fof(f745,plain,
( spl13_73
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f2270,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_73
| ~ spl13_246 ),
inference(superposition,[],[f746,f2239]) ).
fof(f746,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl13_73 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f3954,plain,
( spl13_385
| ~ spl13_81
| ~ spl13_236 ),
inference(avatar_split_clause,[],[f2129,f2067,f786,f3952]) ).
fof(f3952,plain,
( spl13_385
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_385])]) ).
fof(f2129,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl13_81
| ~ spl13_236 ),
inference(resolution,[],[f2068,f787]) ).
fof(f3950,plain,
( spl13_384
| ~ spl13_57
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1974,f1925,f681,f3948]) ).
fof(f3948,plain,
( spl13_384
<=> ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_384])]) ).
fof(f681,plain,
( spl13_57
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).
fof(f1974,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) )
| ~ spl13_57
| ~ spl13_218 ),
inference(resolution,[],[f1926,f682]) ).
fof(f682,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl13_57 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f3946,plain,
( spl13_383
| ~ spl13_80
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1908,f1904,f782,f3944]) ).
fof(f3944,plain,
( spl13_383
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_383])]) ).
fof(f1908,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl13_80
| ~ spl13_216 ),
inference(resolution,[],[f1905,f783]) ).
fof(f3942,plain,
( ~ spl13_382
| ~ spl13_43
| ~ spl13_301 ),
inference(avatar_split_clause,[],[f2971,f2910,f583,f3939]) ).
fof(f3939,plain,
( spl13_382
<=> elem(m_Halt(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_382])]) ).
fof(f2910,plain,
( spl13_301
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK7),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_301])]) ).
fof(f2971,plain,
( ~ elem(m_Halt(sK7),sK2)
| ~ spl13_43
| ~ spl13_301 ),
inference(resolution,[],[f2911,f584]) ).
fof(f2911,plain,
( ! [X0] :
( ~ leq(host(sK7),host(X0))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl13_301 ),
inference(avatar_component_clause,[],[f2910]) ).
fof(f3937,plain,
( spl13_381
| ~ spl13_128
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1652,f1607,f1107,f3935]) ).
fof(f3935,plain,
( spl13_381
<=> ! [X0,X3,X2,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_381])]) ).
fof(f1607,plain,
( spl13_191
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_191])]) ).
fof(f1652,plain,
( ! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl13_128
| ~ spl13_191 ),
inference(superposition,[],[f1608,f1108]) ).
fof(f1608,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl13_191 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f3933,plain,
( spl13_380
| ~ spl13_118
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1651,f1607,f1026,f3931]) ).
fof(f3931,plain,
( spl13_380
<=> ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_380])]) ).
fof(f1651,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_191 ),
inference(superposition,[],[f1608,f1027]) ).
fof(f3929,plain,
( spl13_379
| ~ spl13_158
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2446,f2383,f1344,f3927]) ).
fof(f3927,plain,
( spl13_379
<=> ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK7)))) = X1
| sP1(X0,cons(X1,queue(host(sK7))))
| m_Down(sK5) = sK12(X0,cons(X1,queue(host(sK7))))
| elem(sK12(X0,cons(X1,queue(host(sK7)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_379])]) ).
fof(f1344,plain,
( spl13_158
<=> ! [X0] :
( ~ elem(X0,queue(host(sK7)))
| m_Down(sK5) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_158])]) ).
fof(f2446,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK7)))) = X1
| sP1(X0,cons(X1,queue(host(sK7))))
| m_Down(sK5) = sK12(X0,cons(X1,queue(host(sK7))))
| elem(sK12(X0,cons(X1,queue(host(sK7)))),sK2) )
| ~ spl13_158
| ~ spl13_257 ),
inference(resolution,[],[f2384,f1345]) ).
fof(f1345,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK7)))
| m_Down(sK5) = X0
| elem(X0,sK2) )
| ~ spl13_158 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f3925,plain,
( spl13_378
| ~ spl13_158
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2435,f2379,f1344,f3923]) ).
fof(f3923,plain,
( spl13_378
<=> ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK7)))) = X1
| sP0(X0,cons(X1,queue(host(sK7))))
| m_Down(sK5) = sK11(X0,cons(X1,queue(host(sK7))))
| elem(sK11(X0,cons(X1,queue(host(sK7)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_378])]) ).
fof(f2435,plain,
( ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK7)))) = X1
| sP0(X0,cons(X1,queue(host(sK7))))
| m_Down(sK5) = sK11(X0,cons(X1,queue(host(sK7))))
| elem(sK11(X0,cons(X1,queue(host(sK7)))),sK2) )
| ~ spl13_158
| ~ spl13_256 ),
inference(resolution,[],[f2380,f1345]) ).
fof(f3921,plain,
( spl13_377
| ~ spl13_158
| ~ spl13_255 ),
inference(avatar_split_clause,[],[f2406,f2375,f1344,f3919]) ).
fof(f3919,plain,
( spl13_377
<=> ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK7)),X1)) = X1
| sP1(X0,snoc(queue(host(sK7)),X1))
| m_Down(sK5) = sK12(X0,snoc(queue(host(sK7)),X1))
| elem(sK12(X0,snoc(queue(host(sK7)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_377])]) ).
fof(f2406,plain,
( ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK7)),X1)) = X1
| sP1(X0,snoc(queue(host(sK7)),X1))
| m_Down(sK5) = sK12(X0,snoc(queue(host(sK7)),X1))
| elem(sK12(X0,snoc(queue(host(sK7)),X1)),sK2) )
| ~ spl13_158
| ~ spl13_255 ),
inference(resolution,[],[f2376,f1345]) ).
fof(f3917,plain,
( spl13_376
| ~ spl13_158
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2386,f2371,f1344,f3915]) ).
fof(f3915,plain,
( spl13_376
<=> ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK7)),X1)) = X1
| sP0(X0,snoc(queue(host(sK7)),X1))
| m_Down(sK5) = sK11(X0,snoc(queue(host(sK7)),X1))
| elem(sK11(X0,snoc(queue(host(sK7)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_376])]) ).
fof(f2386,plain,
( ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK7)),X1)) = X1
| sP0(X0,snoc(queue(host(sK7)),X1))
| m_Down(sK5) = sK11(X0,snoc(queue(host(sK7)),X1))
| elem(sK11(X0,snoc(queue(host(sK7)),X1)),sK2) )
| ~ spl13_158
| ~ spl13_254 ),
inference(resolution,[],[f2372,f1345]) ).
fof(f3912,plain,
( spl13_375
| ~ spl13_52
| ~ spl13_288 ),
inference(avatar_split_clause,[],[f2818,f2790,f656,f3909]) ).
fof(f3909,plain,
( spl13_375
<=> leq(sK7,s(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_375])]) ).
fof(f2818,plain,
( leq(sK7,s(sK6))
| ~ spl13_52
| ~ spl13_288 ),
inference(resolution,[],[f2791,f657]) ).
fof(f3907,plain,
( ~ spl13_18
| ~ spl13_361
| spl13_374
| ~ spl13_6
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f1888,f1830,f370,f3903,f3678,f431]) ).
fof(f431,plain,
( spl13_18
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f3678,plain,
( spl13_361
<=> elem(m_Down(sK6),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_361])]) ).
fof(f3903,plain,
( spl13_374
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| host(X1) = host(sK9)
| ~ setIn(X1,alive)
| host(X1) != host(sK7)
| ~ setIn(host(X0),index(down,host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_374])]) ).
fof(f370,plain,
( spl13_6
<=> host(sK8) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f1830,plain,
( spl13_211
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_211])]) ).
fof(f1888,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK6),queue(host(sK9)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(sK8,alive)
| host(X1) = host(sK9) )
| ~ spl13_6
| ~ spl13_211 ),
inference(superposition,[],[f1831,f372]) ).
fof(f372,plain,
( host(sK8) = host(sK9)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f1831,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_211 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f3906,plain,
( ~ spl13_18
| ~ spl13_360
| spl13_374
| ~ spl13_6
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1879,f1826,f370,f3903,f3671,f431]) ).
fof(f3671,plain,
( spl13_360
<=> elem(m_Down(sK4),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_360])]) ).
fof(f1826,plain,
( spl13_210
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_210])]) ).
fof(f1879,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),queue(host(sK9)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(sK8,alive)
| host(X1) = host(sK9) )
| ~ spl13_6
| ~ spl13_210 ),
inference(superposition,[],[f1827,f372]) ).
fof(f1827,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_210 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f3905,plain,
( ~ spl13_18
| ~ spl13_358
| spl13_374
| ~ spl13_6
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1870,f1822,f370,f3903,f3661,f431]) ).
fof(f3661,plain,
( spl13_358
<=> elem(m_Down(sK3),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_358])]) ).
fof(f1822,plain,
( spl13_209
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_209])]) ).
fof(f1870,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK3),queue(host(sK9)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(sK8,alive)
| host(X1) = host(sK9) )
| ~ spl13_6
| ~ spl13_209 ),
inference(superposition,[],[f1823,f372]) ).
fof(f1823,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_209 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f3900,plain,
( spl13_373
| ~ spl13_6
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1806,f1778,f370,f3898]) ).
fof(f3898,plain,
( spl13_373
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_373])]) ).
fof(f1778,plain,
( spl13_207
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_207])]) ).
fof(f1806,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_207 ),
inference(superposition,[],[f1779,f372]) ).
fof(f1779,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_207 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f3895,plain,
( spl13_372
| ~ spl13_6
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1797,f1774,f370,f3893]) ).
fof(f3893,plain,
( spl13_372
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_372])]) ).
fof(f1774,plain,
( spl13_206
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_206])]) ).
fof(f1797,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK4),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_206 ),
inference(superposition,[],[f1775,f372]) ).
fof(f1775,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_206 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f3890,plain,
( spl13_371
| ~ spl13_6
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1788,f1770,f370,f3888]) ).
fof(f3888,plain,
( spl13_371
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_371])]) ).
fof(f1770,plain,
( spl13_205
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_205])]) ).
fof(f1788,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK3),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_205 ),
inference(superposition,[],[f1771,f372]) ).
fof(f1771,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_205 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f3828,plain,
( spl13_276
| ~ spl13_13
| ~ spl13_279
| ~ spl13_290 ),
inference(avatar_split_clause,[],[f3161,f2841,f2669,f408,f2613]) ).
fof(f2613,plain,
( spl13_276
<=> leq(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_276])]) ).
fof(f408,plain,
( spl13_13
<=> sK4 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f3161,plain,
( leq(sK6,sK7)
| ~ spl13_13
| ~ spl13_279
| ~ spl13_290 ),
inference(forward_demodulation,[],[f3156,f409]) ).
fof(f409,plain,
( sK4 = sK6
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f3156,plain,
( leq(sK4,sK7)
| ~ spl13_279
| ~ spl13_290 ),
inference(superposition,[],[f2671,f2842]) ).
fof(f3725,plain,
( spl13_370
| ~ spl13_51
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1973,f1925,f651,f3723]) ).
fof(f3723,plain,
( spl13_370
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_370])]) ).
fof(f651,plain,
( spl13_51
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f1973,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl13_51
| ~ spl13_218 ),
inference(resolution,[],[f1926,f653]) ).
fof(f653,plain,
( leq(s(zero),nbr_proc)
| ~ spl13_51 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f3721,plain,
( spl13_369
| ~ spl13_53
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1972,f1925,f660,f3719]) ).
fof(f3719,plain,
( spl13_369
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_369])]) ).
fof(f660,plain,
( spl13_53
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).
fof(f1972,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl13_53
| ~ spl13_218 ),
inference(resolution,[],[f1926,f661]) ).
fof(f661,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl13_53 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f3717,plain,
( spl13_368
| ~ spl13_171
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1971,f1925,f1460,f3715]) ).
fof(f3715,plain,
( spl13_368
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_368])]) ).
fof(f1460,plain,
( spl13_171
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_171])]) ).
fof(f1971,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl13_171
| ~ spl13_218 ),
inference(resolution,[],[f1926,f1461]) ).
fof(f1461,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl13_171 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f3713,plain,
( spl13_367
| ~ spl13_89
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1717,f1689,f827,f3711]) ).
fof(f3711,plain,
( spl13_367
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_367])]) ).
fof(f1717,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl13_89
| ~ spl13_200 ),
inference(superposition,[],[f1690,f828]) ).
fof(f3709,plain,
( spl13_366
| ~ spl13_102
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1712,f1677,f892,f3707]) ).
fof(f3707,plain,
( spl13_366
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_366])]) ).
fof(f1712,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl13_102
| ~ spl13_197 ),
inference(resolution,[],[f1678,f893]) ).
fof(f3705,plain,
( spl13_264
| ~ spl13_15
| ~ spl13_290 ),
inference(avatar_split_clause,[],[f3146,f2841,f417,f2480]) ).
fof(f2480,plain,
( spl13_264
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_264])]) ).
fof(f417,plain,
( spl13_15
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f3146,plain,
( setIn(sK7,alive)
| ~ spl13_15
| ~ spl13_290 ),
inference(superposition,[],[f419,f2842]) ).
fof(f419,plain,
( setIn(sK6,alive)
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f3704,plain,
( spl13_365
| ~ spl13_193
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1711,f1677,f1655,f3702]) ).
fof(f3702,plain,
( spl13_365
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_365])]) ).
fof(f1711,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl13_193
| ~ spl13_197 ),
inference(resolution,[],[f1678,f1656]) ).
fof(f3700,plain,
( spl13_364
| ~ spl13_80
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1709,f1677,f782,f3698]) ).
fof(f3698,plain,
( spl13_364
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_364])]) ).
fof(f1709,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl13_80
| ~ spl13_197 ),
inference(resolution,[],[f1678,f783]) ).
fof(f3696,plain,
( spl13_363
| ~ spl13_95
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1616,f1583,f851,f3694]) ).
fof(f3694,plain,
( spl13_363
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_363])]) ).
fof(f1616,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl13_95
| ~ spl13_185 ),
inference(resolution,[],[f1584,f852]) ).
fof(f3686,plain,
( spl13_357
| ~ spl13_1
| spl13_7
| spl13_362
| ~ spl13_10
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f1859,f1851,f392,f3684,f375,f345,f3644]) ).
fof(f345,plain,
( spl13_1
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f375,plain,
( spl13_7
<=> host(sK7) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f392,plain,
( spl13_10
<=> host(sK4) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f1851,plain,
( spl13_214
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| host(X1) = host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(host(X2),index(down,host(sK9)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_214])]) ).
fof(f1859,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| host(sK7) = host(sK9)
| ~ setIn(sK4,alive)
| ~ setIn(host(X0),index(down,host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(sK7))) )
| ~ spl13_10
| ~ spl13_214 ),
inference(superposition,[],[f1852,f394]) ).
fof(f394,plain,
( host(sK4) = host(sK7)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f1852,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(host(X2),index(down,host(sK9)))
| host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_214 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f3681,plain,
( ~ spl13_361
| spl13_359
| ~ spl13_5
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1760,f1747,f365,f3665,f3678]) ).
fof(f3665,plain,
( spl13_359
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_359])]) ).
fof(f365,plain,
( spl13_5
<=> host(sK6) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f1747,plain,
( spl13_204
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| host(X1) = host(sK9)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK9)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_204])]) ).
fof(f1760,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| host(X0) = host(sK9)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_5
| ~ spl13_204 ),
inference(superposition,[],[f1748,f367]) ).
fof(f367,plain,
( host(sK6) = host(sK7)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f1748,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK9)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK9)))
| host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_204 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f3674,plain,
( ~ spl13_360
| spl13_359
| ~ spl13_10
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1759,f1747,f392,f3665,f3671]) ).
fof(f1759,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| host(X0) = host(sK9)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_10
| ~ spl13_204 ),
inference(superposition,[],[f1748,f394]) ).
fof(f3667,plain,
( ~ spl13_358
| spl13_359
| ~ spl13_11
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1758,f1747,f397,f3665,f3661]) ).
fof(f1758,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| host(X0) = host(sK9)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_11
| ~ spl13_204 ),
inference(superposition,[],[f1748,f399]) ).
fof(f3646,plain,
( spl13_356
| ~ spl13_18
| spl13_7
| spl13_357
| ~ spl13_6
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1744,f1734,f370,f3644,f375,f431,f3641]) ).
fof(f1734,plain,
( spl13_203
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| host(X1) = host(sK7)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK7)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_203])]) ).
fof(f1744,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| host(sK7) = host(sK9)
| ~ setIn(sK8,alive)
| ~ elem(m_Down(X0),queue(host(sK7)))
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(sK9))) )
| ~ spl13_6
| ~ spl13_203 ),
inference(superposition,[],[f1735,f372]) ).
fof(f1735,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK7)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK7)))
| host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_203 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f3623,plain,
( ~ spl13_354
| spl13_355
| ~ spl13_6
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1740,f1734,f370,f3621,f3617]) ).
fof(f3621,plain,
( spl13_355
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_355])]) ).
fof(f1740,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| host(X0) = host(sK7)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK8),queue(host(sK7)))
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_6
| ~ spl13_203 ),
inference(superposition,[],[f1735,f372]) ).
fof(f3593,plain,
( spl13_353
| ~ spl13_13
| ~ spl13_316 ),
inference(avatar_split_clause,[],[f3543,f3083,f408,f3565]) ).
fof(f3565,plain,
( spl13_353
<=> ! [X0] :
( ~ ordered(cons(m_Halt(sK6),X0))
| ~ elem(m_Down(sK7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_353])]) ).
fof(f3083,plain,
( spl13_316
<=> ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_316])]) ).
fof(f3543,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK6),X0))
| ~ elem(m_Down(sK7),X0) )
| ~ spl13_13
| ~ spl13_316 ),
inference(forward_demodulation,[],[f3084,f409]) ).
fof(f3084,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl13_316 ),
inference(avatar_component_clause,[],[f3083]) ).
fof(f3591,plain,
( ~ spl13_319
| ~ spl13_13
| ~ spl13_14
| ~ spl13_202
| spl13_275 ),
inference(avatar_split_clause,[],[f3549,f2606,f1729,f412,f408,f3111]) ).
fof(f3111,plain,
( spl13_319
<=> leq(sK7,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_319])]) ).
fof(f1729,plain,
( spl13_202
<=> sK3 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_202])]) ).
fof(f2606,plain,
( spl13_275
<=> leq(sK4,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_275])]) ).
fof(f3549,plain,
( ~ leq(sK7,sK7)
| ~ spl13_13
| ~ spl13_14
| ~ spl13_202
| spl13_275 ),
inference(forward_demodulation,[],[f3548,f2959]) ).
fof(f2959,plain,
( sK6 = sK7
| ~ spl13_14
| ~ spl13_202 ),
inference(superposition,[],[f414,f1731]) ).
fof(f1731,plain,
( sK3 = sK7
| ~ spl13_202 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f3548,plain,
( ~ leq(sK6,sK7)
| ~ spl13_13
| spl13_275 ),
inference(forward_demodulation,[],[f2608,f409]) ).
fof(f2608,plain,
( ~ leq(sK4,sK7)
| spl13_275 ),
inference(avatar_component_clause,[],[f2606]) ).
fof(f3567,plain,
( spl13_353
| ~ spl13_14
| ~ spl13_315 ),
inference(avatar_split_clause,[],[f3554,f3079,f412,f3565]) ).
fof(f3079,plain,
( spl13_315
<=> ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_315])]) ).
fof(f3554,plain,
( ! [X0] :
( ~ ordered(cons(m_Halt(sK6),X0))
| ~ elem(m_Down(sK7),X0) )
| ~ spl13_14
| ~ spl13_315 ),
inference(forward_demodulation,[],[f3080,f414]) ).
fof(f3080,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_315 ),
inference(avatar_component_clause,[],[f3079]) ).
fof(f3561,plain,
( ~ spl13_276
| ~ spl13_14
| spl13_201 ),
inference(avatar_split_clause,[],[f3557,f1725,f412,f2613]) ).
fof(f1725,plain,
( spl13_201
<=> leq(sK3,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_201])]) ).
fof(f3557,plain,
( ~ leq(sK6,sK7)
| ~ spl13_14
| spl13_201 ),
inference(forward_demodulation,[],[f1727,f414]) ).
fof(f1727,plain,
( ~ leq(sK3,sK7)
| spl13_201 ),
inference(avatar_component_clause,[],[f1725]) ).
fof(f3559,plain,
( ~ spl13_319
| ~ spl13_14
| ~ spl13_202
| spl13_276 ),
inference(avatar_split_clause,[],[f3545,f2613,f1729,f412,f3111]) ).
fof(f3545,plain,
( ~ leq(sK7,sK7)
| ~ spl13_14
| ~ spl13_202
| spl13_276 ),
inference(forward_demodulation,[],[f2615,f2959]) ).
fof(f2615,plain,
( ~ leq(sK6,sK7)
| spl13_276 ),
inference(avatar_component_clause,[],[f2613]) ).
fof(f3550,plain,
( spl13_276
| ~ spl13_14
| ~ spl13_201 ),
inference(avatar_split_clause,[],[f3063,f1725,f412,f2613]) ).
fof(f3063,plain,
( leq(sK6,sK7)
| ~ spl13_14
| ~ spl13_201 ),
inference(forward_demodulation,[],[f1726,f414]) ).
fof(f1726,plain,
( leq(sK3,sK7)
| ~ spl13_201 ),
inference(avatar_component_clause,[],[f1725]) ).
fof(f3535,plain,
( spl13_352
| ~ spl13_290
| ~ spl13_350 ),
inference(avatar_split_clause,[],[f3527,f3524,f2841,f3533]) ).
fof(f3533,plain,
( spl13_352
<=> ! [X0,X1] :
( ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_352])]) ).
fof(f3524,plain,
( spl13_350
<=> ! [X0,X1] :
( ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_350])]) ).
fof(f3527,plain,
( ! [X0,X1] :
( ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_290
| ~ spl13_350 ),
inference(forward_demodulation,[],[f3525,f2842]) ).
fof(f3525,plain,
( ! [X0,X1] :
( host(X1) != host(sK7)
| ~ setIn(host(X0),index(down,host(X1)))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_350 ),
inference(avatar_component_clause,[],[f3524]) ).
fof(f3531,plain,
( spl13_351
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f1898,f1834,f3529]) ).
fof(f3529,plain,
( spl13_351
<=> ! [X0,X1] :
( ~ elem(m_Down(sK8),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_351])]) ).
fof(f1834,plain,
( spl13_212
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_212])]) ).
fof(f1898,plain,
( ! [X0,X1] :
( ~ elem(m_Down(sK8),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK9)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_212 ),
inference(equality_resolution,[],[f1835]) ).
fof(f1835,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK8),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X0) != host(sK9)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_212 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f3526,plain,
( spl13_350
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f1889,f1830,f3524]) ).
fof(f1889,plain,
( ! [X0,X1] :
( ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_211 ),
inference(equality_resolution,[],[f1831]) ).
fof(f3521,plain,
( spl13_349
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1880,f1826,f3519]) ).
fof(f3519,plain,
( spl13_349
<=> ! [X0,X1] :
( ~ elem(m_Down(sK4),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_349])]) ).
fof(f1880,plain,
( ! [X0,X1] :
( ~ elem(m_Down(sK4),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_210 ),
inference(equality_resolution,[],[f1827]) ).
fof(f3516,plain,
( ~ spl13_348
| ~ spl13_14
| ~ spl13_139
| spl13_237 ),
inference(avatar_split_clause,[],[f2759,f2080,f1221,f412,f3513]) ).
fof(f3513,plain,
( spl13_348
<=> elem(m_Down(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_348])]) ).
fof(f2080,plain,
( spl13_237
<=> elem(m_Down(sK3),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_237])]) ).
fof(f2759,plain,
( ~ elem(m_Down(sK6),sK2)
| ~ spl13_14
| ~ spl13_139
| spl13_237 ),
inference(forward_demodulation,[],[f2757,f414]) ).
fof(f2757,plain,
( ~ elem(m_Down(sK3),sK2)
| ~ spl13_139
| spl13_237 ),
inference(resolution,[],[f2082,f1222]) ).
fof(f2082,plain,
( ~ elem(m_Down(sK3),queue(host(sK7)))
| spl13_237 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f3510,plain,
( spl13_347
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1871,f1822,f3508]) ).
fof(f3508,plain,
( spl13_347
<=> ! [X0,X1] :
( ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_347])]) ).
fof(f1871,plain,
( ! [X0,X1] :
( ~ elem(m_Down(sK3),queue(host(X0)))
| ~ setIn(host(X0),index(down,host(X1)))
| host(X1) != host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_209 ),
inference(equality_resolution,[],[f1823]) ).
fof(f3386,plain,
( spl13_346
| ~ spl13_95
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1706,f1677,f851,f3384]) ).
fof(f3384,plain,
( spl13_346
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_346])]) ).
fof(f1706,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl13_95
| ~ spl13_197 ),
inference(resolution,[],[f1678,f852]) ).
fof(f3382,plain,
( spl13_345
| ~ spl13_188
| ~ spl13_193 ),
inference(avatar_split_clause,[],[f1697,f1655,f1595,f3380]) ).
fof(f3380,plain,
( spl13_345
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_345])]) ).
fof(f1697,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl13_188
| ~ spl13_193 ),
inference(resolution,[],[f1656,f1596]) ).
fof(f3374,plain,
( spl13_344
| ~ spl13_89
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1650,f1607,f827,f3372]) ).
fof(f3372,plain,
( spl13_344
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_344])]) ).
fof(f1650,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl13_89
| ~ spl13_191 ),
inference(superposition,[],[f1608,f828]) ).
fof(f3370,plain,
( spl13_343
| ~ spl13_102
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1636,f1595,f892,f3368]) ).
fof(f3368,plain,
( spl13_343
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_343])]) ).
fof(f1636,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl13_102
| ~ spl13_188 ),
inference(resolution,[],[f1596,f893]) ).
fof(f3366,plain,
( spl13_342
| ~ spl13_80
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1634,f1595,f782,f3364]) ).
fof(f3364,plain,
( spl13_342
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_342])]) ).
fof(f1634,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl13_80
| ~ spl13_188 ),
inference(resolution,[],[f1596,f783]) ).
fof(f3362,plain,
( spl13_341
| ~ spl13_80
| ~ spl13_187 ),
inference(avatar_split_clause,[],[f1624,f1591,f782,f3360]) ).
fof(f1624,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl13_80
| ~ spl13_187 ),
inference(resolution,[],[f1592,f783]) ).
fof(f3358,plain,
( spl13_340
| ~ spl13_80
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1614,f1583,f782,f3356]) ).
fof(f3356,plain,
( spl13_340
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_340])]) ).
fof(f1614,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl13_80
| ~ spl13_185 ),
inference(resolution,[],[f1584,f783]) ).
fof(f3352,plain,
( spl13_339
| ~ spl13_157
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2454,f2383,f1340,f3350]) ).
fof(f3350,plain,
( spl13_339
<=> ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK7)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK12(X1,snoc(queue(host(sK7)),X0))
| sP1(X1,snoc(queue(host(sK7)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_339])]) ).
fof(f1340,plain,
( spl13_157
<=> ! [X0] : cons(m_Down(sK5),snoc(sK2,X0)) = snoc(queue(host(sK7)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_157])]) ).
fof(f2454,plain,
( ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK7)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK12(X1,snoc(queue(host(sK7)),X0))
| sP1(X1,snoc(queue(host(sK7)),X0)) )
| ~ spl13_157
| ~ spl13_257 ),
inference(superposition,[],[f2384,f1341]) ).
fof(f1341,plain,
( ! [X0] : cons(m_Down(sK5),snoc(sK2,X0)) = snoc(queue(host(sK7)),X0)
| ~ spl13_157 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f3348,plain,
( spl13_338
| ~ spl13_157
| ~ spl13_256 ),
inference(avatar_split_clause,[],[f2443,f2379,f1340,f3346]) ).
fof(f3346,plain,
( spl13_338
<=> ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK7)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK11(X1,snoc(queue(host(sK7)),X0))
| sP0(X1,snoc(queue(host(sK7)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_338])]) ).
fof(f2443,plain,
( ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK7)),X0)),snoc(sK2,X0))
| m_Down(sK5) = sK11(X1,snoc(queue(host(sK7)),X0))
| sP0(X1,snoc(queue(host(sK7)),X0)) )
| ~ spl13_157
| ~ spl13_256 ),
inference(superposition,[],[f2380,f1341]) ).
fof(f3344,plain,
( ~ spl13_297
| spl13_2
| ~ spl13_202 ),
inference(avatar_split_clause,[],[f2957,f1729,f350,f2892]) ).
fof(f2892,plain,
( spl13_297
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_297])]) ).
fof(f350,plain,
( spl13_2
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f2957,plain,
( ~ setIn(sK7,pids)
| spl13_2
| ~ spl13_202 ),
inference(superposition,[],[f352,f1731]) ).
fof(f352,plain,
( ~ setIn(sK3,pids)
| spl13_2 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f3324,plain,
( spl13_337
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f1862,f1851,f3322]) ).
fof(f3322,plain,
( spl13_337
<=> ! [X0,X1] :
( host(X0) = host(sK9)
| ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_337])]) ).
fof(f1862,plain,
( ! [X0,X1] :
( host(X0) = host(sK9)
| ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,host(sK9)))
| host(X1) != host(sK9)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_214 ),
inference(equality_resolution,[],[f1852]) ).
fof(f3320,plain,
( spl13_336
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f1849,f1838,f3318]) ).
fof(f3318,plain,
( spl13_336
<=> ! [X0,X1] :
( host(X0) = host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,host(sK7)))
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_336])]) ).
fof(f1838,plain,
( spl13_213
<=> ! [X2,X0,X1] :
( host(X0) != host(sK7)
| host(X1) = host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(host(X2),index(down,host(sK7)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_213])]) ).
fof(f1849,plain,
( ! [X0,X1] :
( host(X0) = host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,host(sK7)))
| host(X1) != host(sK7)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_213 ),
inference(equality_resolution,[],[f1839]) ).
fof(f1839,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK7)
| ~ setIn(X1,alive)
| ~ setIn(host(X2),index(down,host(sK7)))
| host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_213 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f3299,plain,
( spl13_335
| ~ spl13_95
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1631,f1595,f851,f3297]) ).
fof(f3297,plain,
( spl13_335
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_335])]) ).
fof(f1631,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl13_95
| ~ spl13_188 ),
inference(resolution,[],[f1596,f852]) ).
fof(f3295,plain,
( spl13_334
| ~ spl13_95
| ~ spl13_181 ),
inference(avatar_split_clause,[],[f1565,f1559,f851,f3293]) ).
fof(f1565,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl13_95
| ~ spl13_181 ),
inference(resolution,[],[f1560,f852]) ).
fof(f3281,plain,
( spl13_333
| ~ spl13_80
| ~ spl13_181 ),
inference(avatar_split_clause,[],[f1563,f1559,f782,f3279]) ).
fof(f3279,plain,
( spl13_333
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_333])]) ).
fof(f1563,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl13_80
| ~ spl13_181 ),
inference(resolution,[],[f1560,f783]) ).
fof(f3276,plain,
( ~ spl13_273
| ~ spl13_13
| spl13_304 ),
inference(avatar_split_clause,[],[f2941,f2933,f408,f2586]) ).
fof(f2933,plain,
( spl13_304
<=> leq(sK7,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_304])]) ).
fof(f2941,plain,
( ~ leq(sK7,sK6)
| ~ spl13_13
| spl13_304 ),
inference(forward_demodulation,[],[f2934,f409]) ).
fof(f2934,plain,
( ~ leq(sK7,sK4)
| spl13_304 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f3275,plain,
( spl13_332
| ~ spl13_106
| ~ spl13_158 ),
inference(avatar_split_clause,[],[f1360,f1344,f909,f3273]) ).
fof(f3273,plain,
( spl13_332
<=> ! [X0] :
( m_Down(sK5) = sK12(X0,queue(host(sK7)))
| elem(sK12(X0,queue(host(sK7))),sK2)
| sP1(X0,queue(host(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_332])]) ).
fof(f1360,plain,
( ! [X0] :
( m_Down(sK5) = sK12(X0,queue(host(sK7)))
| elem(sK12(X0,queue(host(sK7))),sK2)
| sP1(X0,queue(host(sK7))) )
| ~ spl13_106
| ~ spl13_158 ),
inference(resolution,[],[f1345,f910]) ).
fof(f3271,plain,
( spl13_331
| ~ spl13_105
| ~ spl13_158 ),
inference(avatar_split_clause,[],[f1359,f1344,f905,f3269]) ).
fof(f3269,plain,
( spl13_331
<=> ! [X0] :
( m_Down(sK5) = sK11(X0,queue(host(sK7)))
| elem(sK11(X0,queue(host(sK7))),sK2)
| sP0(X0,queue(host(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_331])]) ).
fof(f1359,plain,
( ! [X0] :
( m_Down(sK5) = sK11(X0,queue(host(sK7)))
| elem(sK11(X0,queue(host(sK7))),sK2)
| sP0(X0,queue(host(sK7))) )
| ~ spl13_105
| ~ spl13_158 ),
inference(resolution,[],[f1345,f906]) ).
fof(f3247,plain,
( spl13_277
| spl13_330
| ~ spl13_180 ),
inference(avatar_split_clause,[],[f1556,f1501,f3245,f2620]) ).
fof(f2620,plain,
( spl13_277
<=> leq(sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_277])]) ).
fof(f3245,plain,
( spl13_330
<=> ! [X0] :
( ~ elem(m_Down(sK9),X0)
| ~ ordered(cons(m_Halt(sK8),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_330])]) ).
fof(f1501,plain,
( spl13_180
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK8,X0)
| ~ ordered(cons(m_Halt(sK8),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_180])]) ).
fof(f1556,plain,
( ! [X0] :
( ~ elem(m_Down(sK9),X0)
| leq(sK8,sK9)
| ~ ordered(cons(m_Halt(sK8),X0)) )
| ~ spl13_180 ),
inference(equality_resolution,[],[f1502]) ).
fof(f1502,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK8,X0)
| ~ ordered(cons(m_Halt(sK8),X1)) )
| ~ spl13_180 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f3241,plain,
( ~ spl13_278
| ~ spl13_3
| ~ spl13_291 ),
inference(avatar_split_clause,[],[f2866,f2848,f355,f2624]) ).
fof(f2624,plain,
( spl13_278
<=> setIn(sK9,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_278])]) ).
fof(f2848,plain,
( spl13_291
<=> ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_291])]) ).
fof(f2866,plain,
( ~ setIn(sK9,alive)
| ~ spl13_3
| ~ spl13_291 ),
inference(resolution,[],[f2849,f357]) ).
fof(f357,plain,
( elem(m_Down(sK9),sK2)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f2849,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl13_291 ),
inference(avatar_component_clause,[],[f2848]) ).
fof(f3240,plain,
( spl13_329
| ~ spl13_26
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2314,f2254,f483,f3238]) ).
fof(f3238,plain,
( spl13_329
<=> ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK10(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_329])]) ).
fof(f483,plain,
( spl13_26
<=> ! [X29,X28] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X29),queue(host(X28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f2314,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK10(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_26
| ~ spl13_250 ),
inference(superposition,[],[f484,f2255]) ).
fof(f484,plain,
( ! [X28,X29] :
( ~ elem(m_Down(X29),queue(host(X28)))
| ~ setIn(X29,alive) )
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f3236,plain,
( spl13_328
| ~ spl13_26
| ~ spl13_249 ),
inference(avatar_split_clause,[],[f2298,f2250,f483,f3234]) ).
fof(f3234,plain,
( spl13_328
<=> ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK10(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_328])]) ).
fof(f2298,plain,
( ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK10(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_26
| ~ spl13_249 ),
inference(superposition,[],[f484,f2251]) ).
fof(f3232,plain,
( spl13_326
| spl13_327
| spl13_79
| ~ spl13_158
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1637,f1599,f1344,f777,f3229,f3225]) ).
fof(f3225,plain,
( spl13_326
<=> elem(last(queue(host(sK7))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_326])]) ).
fof(f3229,plain,
( spl13_327
<=> m_Down(sK5) = last(queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_327])]) ).
fof(f777,plain,
( spl13_79
<=> q_nil = queue(host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).
fof(f1637,plain,
( q_nil = queue(host(sK7))
| m_Down(sK5) = last(queue(host(sK7)))
| elem(last(queue(host(sK7))),sK2)
| ~ spl13_158
| ~ spl13_189 ),
inference(resolution,[],[f1600,f1345]) ).
fof(f3214,plain,
( spl13_325
| ~ spl13_57
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1611,f1583,f681,f3212]) ).
fof(f3212,plain,
( spl13_325
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_325])]) ).
fof(f1611,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl13_57
| ~ spl13_185 ),
inference(resolution,[],[f1584,f682]) ).
fof(f3145,plain,
( spl13_324
| ~ spl13_130
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1356,f1340,f1116,f3143]) ).
fof(f3143,plain,
( spl13_324
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK7)),X0))
| m_Down(sK5) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_324])]) ).
fof(f1356,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK7)),X0))
| m_Down(sK5) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl13_130
| ~ spl13_157 ),
inference(superposition,[],[f1117,f1341]) ).
fof(f3141,plain,
( spl13_323
| ~ spl13_128
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1355,f1340,f1107,f3139]) ).
fof(f3139,plain,
( spl13_323
<=> ! [X0,X1] : cons(m_Down(sK5),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK7)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_323])]) ).
fof(f1355,plain,
( ! [X0,X1] : cons(m_Down(sK5),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK7)),X0),X1)
| ~ spl13_128
| ~ spl13_157 ),
inference(superposition,[],[f1108,f1341]) ).
fof(f3137,plain,
( spl13_322
| ~ spl13_114
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1354,f1340,f982,f3135]) ).
fof(f3135,plain,
( spl13_322
<=> ! [X0] :
( ordered(snoc(queue(host(sK7)),X0))
| ~ sP0(m_Down(sK5),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_322])]) ).
fof(f1354,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK7)),X0))
| ~ sP0(m_Down(sK5),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl13_114
| ~ spl13_157 ),
inference(superposition,[],[f983,f1341]) ).
fof(f3129,plain,
( spl13_321
| ~ spl13_88
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2322,f2254,f823,f3127]) ).
fof(f3127,plain,
( spl13_321
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_321])]) ).
fof(f823,plain,
( spl13_88
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).
fof(f2322,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_88
| ~ spl13_250 ),
inference(superposition,[],[f824,f2255]) ).
fof(f824,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_88 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f3125,plain,
( spl13_320
| ~ spl13_88
| ~ spl13_249 ),
inference(avatar_split_clause,[],[f2306,f2250,f823,f3123]) ).
fof(f3123,plain,
( spl13_320
<=> ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK10(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_320])]) ).
fof(f2306,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK10(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_88
| ~ spl13_249 ),
inference(superposition,[],[f824,f2251]) ).
fof(f3119,plain,
( ~ spl13_43
| spl13_319 ),
inference(avatar_contradiction_clause,[],[f3116]) ).
fof(f3116,plain,
( $false
| ~ spl13_43
| spl13_319 ),
inference(resolution,[],[f3113,f584]) ).
fof(f3113,plain,
( ~ leq(sK7,sK7)
| spl13_319 ),
inference(avatar_component_clause,[],[f3111]) ).
fof(f3114,plain,
( ~ spl13_319
| ~ spl13_14
| spl13_286
| ~ spl13_290 ),
inference(avatar_split_clause,[],[f3109,f2841,f2773,f412,f3111]) ).
fof(f2773,plain,
( spl13_286
<=> leq(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_286])]) ).
fof(f3109,plain,
( ~ leq(sK7,sK7)
| ~ spl13_14
| spl13_286
| ~ spl13_290 ),
inference(forward_demodulation,[],[f2777,f2842]) ).
fof(f2777,plain,
( ~ leq(sK6,sK6)
| ~ spl13_14
| spl13_286 ),
inference(forward_demodulation,[],[f2775,f414]) ).
fof(f2775,plain,
( ~ leq(sK3,sK3)
| spl13_286 ),
inference(avatar_component_clause,[],[f2773]) ).
fof(f3108,plain,
( ~ spl13_43
| spl13_285 ),
inference(avatar_contradiction_clause,[],[f3105]) ).
fof(f3105,plain,
( $false
| ~ spl13_43
| spl13_285 ),
inference(resolution,[],[f2767,f584]) ).
fof(f2767,plain,
( ~ leq(sK6,sK6)
| spl13_285 ),
inference(avatar_component_clause,[],[f2765]) ).
fof(f2765,plain,
( spl13_285
<=> leq(sK6,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_285])]) ).
fof(f3099,plain,
( ~ spl13_318
| ~ spl13_95
| spl13_195 ),
inference(avatar_split_clause,[],[f1671,f1663,f851,f3096]) ).
fof(f3096,plain,
( spl13_318
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_318])]) ).
fof(f1663,plain,
( spl13_195
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_195])]) ).
fof(f1671,plain,
( ~ leq(nbr_proc,zero)
| ~ spl13_95
| spl13_195 ),
inference(resolution,[],[f1665,f852]) ).
fof(f1665,plain,
( ~ leq(nbr_proc,s(zero))
| spl13_195 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f3094,plain,
( spl13_317
| ~ spl13_51
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1610,f1583,f651,f3091]) ).
fof(f3091,plain,
( spl13_317
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_317])]) ).
fof(f1610,plain,
( leq(zero,nbr_proc)
| ~ spl13_51
| ~ spl13_185 ),
inference(resolution,[],[f1584,f653]) ).
fof(f3085,plain,
( spl13_275
| spl13_316
| ~ spl13_178 ),
inference(avatar_split_clause,[],[f1540,f1493,f3083,f2606]) ).
fof(f1493,plain,
( spl13_178
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_178])]) ).
fof(f1540,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| leq(sK4,sK7)
| ~ ordered(cons(m_Halt(sK4),X0)) )
| ~ spl13_178 ),
inference(equality_resolution,[],[f1494]) ).
fof(f1494,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl13_178 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f3081,plain,
( spl13_201
| spl13_315
| ~ spl13_177 ),
inference(avatar_split_clause,[],[f1530,f1489,f3079,f1725]) ).
fof(f1489,plain,
( spl13_177
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_177])]) ).
fof(f1530,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| leq(sK3,sK7)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_177 ),
inference(equality_resolution,[],[f1490]) ).
fof(f1490,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl13_177 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f3077,plain,
( spl13_306
| spl13_314
| ~ spl13_176 ),
inference(avatar_split_clause,[],[f1524,f1485,f3075,f2998]) ).
fof(f3075,plain,
( spl13_314
<=> ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK9),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_314])]) ).
fof(f1485,plain,
( spl13_176
<=> ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),X1)
| leq(X0,sK8)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_176])]) ).
fof(f1524,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| leq(sK9,sK8)
| ~ ordered(cons(m_Halt(sK9),X0)) )
| ~ spl13_176 ),
inference(equality_resolution,[],[f1486]) ).
fof(f1486,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),X1)
| leq(X0,sK8)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_176 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f3071,plain,
( spl13_192
| spl13_313
| ~ spl13_11
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1519,f1481,f397,f3069,f1619]) ).
fof(f1619,plain,
( spl13_192
<=> leq(sK3,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_192])]) ).
fof(f3069,plain,
( spl13_313
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_313])]) ).
fof(f1481,plain,
( spl13_175
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_175])]) ).
fof(f1519,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK3,sK6)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_11
| ~ spl13_175 ),
inference(trivial_inequality_removal,[],[f1512]) ).
fof(f1512,plain,
( ! [X0] :
( host(sK7) != host(sK7)
| ~ elem(m_Down(sK6),X0)
| leq(sK3,sK6)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_11
| ~ spl13_175 ),
inference(superposition,[],[f1482,f399]) ).
fof(f1482,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_175 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f3067,plain,
( spl13_173
| spl13_312
| ~ spl13_11
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1511,f1468,f397,f3065,f1472]) ).
fof(f1472,plain,
( spl13_173
<=> leq(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_173])]) ).
fof(f3065,plain,
( spl13_312
<=> ! [X0] :
( ~ elem(m_Down(sK4),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_312])]) ).
fof(f1468,plain,
( spl13_172
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_172])]) ).
fof(f1511,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),X0)
| leq(sK3,sK4)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_11
| ~ spl13_172 ),
inference(trivial_inequality_removal,[],[f1504]) ).
fof(f1504,plain,
( ! [X0] :
( host(sK7) != host(sK7)
| ~ elem(m_Down(sK4),X0)
| leq(sK3,sK4)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_11
| ~ spl13_172 ),
inference(superposition,[],[f1469,f399]) ).
fof(f1469,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_172 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f3062,plain,
( ~ spl13_276
| ~ spl13_14
| spl13_201 ),
inference(avatar_split_clause,[],[f2648,f1725,f412,f2613]) ).
fof(f2648,plain,
( ~ leq(sK6,sK7)
| ~ spl13_14
| spl13_201 ),
inference(superposition,[],[f1727,f414]) ).
fof(f3057,plain,
( spl13_281
| spl13_311
| ~ spl13_5
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1509,f1468,f365,f3055,f2706]) ).
fof(f2706,plain,
( spl13_281
<=> leq(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_281])]) ).
fof(f3055,plain,
( spl13_311
<=> ! [X0] :
( ~ elem(m_Down(sK4),X0)
| ~ ordered(cons(m_Halt(sK6),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_311])]) ).
fof(f1509,plain,
( ! [X0] :
( ~ elem(m_Down(sK4),X0)
| leq(sK6,sK4)
| ~ ordered(cons(m_Halt(sK6),X0)) )
| ~ spl13_5
| ~ spl13_172 ),
inference(trivial_inequality_removal,[],[f1506]) ).
fof(f1506,plain,
( ! [X0] :
( host(sK7) != host(sK7)
| ~ elem(m_Down(sK4),X0)
| leq(sK6,sK4)
| ~ ordered(cons(m_Halt(sK6),X0)) )
| ~ spl13_5
| ~ spl13_172 ),
inference(superposition,[],[f1469,f367]) ).
fof(f3053,plain,
( spl13_310
| ~ spl13_109
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1353,f1340,f921,f3051]) ).
fof(f3051,plain,
( spl13_310
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK7)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_310])]) ).
fof(f1353,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK7)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl13_109
| ~ spl13_157 ),
inference(superposition,[],[f922,f1341]) ).
fof(f3049,plain,
( spl13_309
| ~ spl13_92
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1352,f1340,f839,f3047]) ).
fof(f3047,plain,
( spl13_309
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK7)),X0))
| sP0(m_Down(sK5),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_309])]) ).
fof(f1352,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK7)),X0))
| sP0(m_Down(sK5),snoc(sK2,X0)) )
| ~ spl13_92
| ~ spl13_157 ),
inference(superposition,[],[f840,f1341]) ).
fof(f3013,plain,
( spl13_308
| ~ spl13_81
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1351,f1340,f786,f3011]) ).
fof(f3011,plain,
( spl13_308
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK7)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_308])]) ).
fof(f1351,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK7)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl13_81
| ~ spl13_157 ),
inference(superposition,[],[f787,f1341]) ).
fof(f3009,plain,
( spl13_307
| ~ spl13_76
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1350,f1340,f765,f3007]) ).
fof(f3007,plain,
( spl13_307
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK7)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_307])]) ).
fof(f1350,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK7)),X0))
| ~ spl13_76
| ~ spl13_157 ),
inference(superposition,[],[f766,f1341]) ).
fof(f3001,plain,
( spl13_306
| ~ spl13_80
| spl13_277 ),
inference(avatar_split_clause,[],[f2628,f2620,f782,f2998]) ).
fof(f2628,plain,
( leq(sK9,sK8)
| ~ spl13_80
| spl13_277 ),
inference(resolution,[],[f2622,f783]) ).
fof(f2622,plain,
( ~ leq(sK8,sK9)
| spl13_277 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f2996,plain,
( spl13_305
| ~ spl13_29
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1226,f1221,f512,f2994]) ).
fof(f512,plain,
( spl13_29
<=> ! [X22,X21,X23] :
( ~ leq(host(X21),host(X23))
| ~ elem(m_Ack(X23,X21),queue(host(X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f1226,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) )
| ~ spl13_29
| ~ spl13_139 ),
inference(resolution,[],[f1222,f513]) ).
fof(f513,plain,
( ! [X21,X22,X23] :
( ~ elem(m_Ack(X23,X21),queue(host(X22)))
| ~ leq(host(X21),host(X23)) )
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f2955,plain,
( ~ spl13_264
| spl13_290
| ~ spl13_14
| ~ spl13_270 ),
inference(avatar_split_clause,[],[f2937,f2538,f412,f2841,f2480]) ).
fof(f2538,plain,
( spl13_270
<=> ! [X0] :
( host(X0) != host(sK7)
| sK3 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_270])]) ).
fof(f2937,plain,
( sK6 = sK7
| ~ setIn(sK7,alive)
| ~ spl13_14
| ~ spl13_270 ),
inference(forward_demodulation,[],[f2597,f414]) ).
fof(f2597,plain,
( sK3 = sK7
| ~ setIn(sK7,alive)
| ~ spl13_270 ),
inference(equality_resolution,[],[f2539]) ).
fof(f2539,plain,
( ! [X0] :
( host(X0) != host(sK7)
| sK3 = X0
| ~ setIn(X0,alive) )
| ~ spl13_270 ),
inference(avatar_component_clause,[],[f2538]) ).
fof(f2949,plain,
( spl13_273
| ~ spl13_14
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f2640,f525,f412,f2586]) ).
fof(f525,plain,
( spl13_32
<=> leq(sK7,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f2640,plain,
( leq(sK7,sK6)
| ~ spl13_14
| ~ spl13_32 ),
inference(superposition,[],[f527,f414]) ).
fof(f527,plain,
( leq(sK7,sK3)
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f2943,plain,
( spl13_276
| ~ spl13_13
| ~ spl13_275 ),
inference(avatar_split_clause,[],[f2942,f2606,f408,f2613]) ).
fof(f2942,plain,
( leq(sK6,sK7)
| ~ spl13_13
| ~ spl13_275 ),
inference(forward_demodulation,[],[f2607,f409]) ).
fof(f2607,plain,
( leq(sK4,sK7)
| ~ spl13_275 ),
inference(avatar_component_clause,[],[f2606]) ).
fof(f2936,plain,
( spl13_304
| ~ spl13_80
| spl13_275 ),
inference(avatar_split_clause,[],[f2610,f2606,f782,f2933]) ).
fof(f2610,plain,
( leq(sK7,sK4)
| ~ spl13_80
| spl13_275 ),
inference(resolution,[],[f2608,f783]) ).
fof(f2924,plain,
( ~ spl13_287
| ~ spl13_14
| spl13_155 ),
inference(avatar_split_clause,[],[f2785,f1295,f412,f2779]) ).
fof(f2785,plain,
( ~ leq(index(elid,host(sK7)),sK6)
| ~ spl13_14
| spl13_155 ),
inference(forward_demodulation,[],[f1296,f414]) ).
fof(f1296,plain,
( ~ leq(index(elid,host(sK7)),sK3)
| spl13_155 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f2920,plain,
( spl13_303
| ~ spl13_14
| ~ spl13_117
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f2803,f1295,f994,f412,f2918]) ).
fof(f2803,plain,
( ! [X0] :
( leq(X0,sK6)
| ~ leq(X0,index(elid,host(sK7))) )
| ~ spl13_14
| ~ spl13_117
| ~ spl13_155 ),
inference(forward_demodulation,[],[f2433,f414]) ).
fof(f2916,plain,
( spl13_302
| ~ spl13_75
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1349,f1340,f761,f2914]) ).
fof(f2914,plain,
( spl13_302
<=> ! [X0] : m_Down(sK5) = head(snoc(queue(host(sK7)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_302])]) ).
fof(f1349,plain,
( ! [X0] : m_Down(sK5) = head(snoc(queue(host(sK7)),X0))
| ~ spl13_75
| ~ spl13_157 ),
inference(superposition,[],[f762,f1341]) ).
fof(f2912,plain,
( spl13_301
| ~ spl13_28
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1225,f1221,f495,f2910]) ).
fof(f495,plain,
( spl13_28
<=> ! [X25,X24] :
( ~ leq(host(X24),host(X25))
| ~ elem(m_Halt(X25),queue(host(X24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f1225,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK7),host(X0)) )
| ~ spl13_28
| ~ spl13_139 ),
inference(resolution,[],[f1222,f496]) ).
fof(f496,plain,
( ! [X24,X25] :
( ~ elem(m_Halt(X25),queue(host(X24)))
| ~ leq(host(X24),host(X25)) )
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f2907,plain,
( spl13_300
| ~ spl13_73
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1348,f1340,f745,f2905]) ).
fof(f2905,plain,
( spl13_300
<=> ! [X0] : elem(m_Down(sK5),snoc(queue(host(sK7)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_300])]) ).
fof(f1348,plain,
( ! [X0] : elem(m_Down(sK5),snoc(queue(host(sK7)),X0))
| ~ spl13_73
| ~ spl13_157 ),
inference(superposition,[],[f746,f1341]) ).
fof(f2902,plain,
( spl13_299
| ~ spl13_139
| ~ spl13_147 ),
inference(avatar_split_clause,[],[f1271,f1260,f1221,f2900]) ).
fof(f2900,plain,
( spl13_299
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_299])]) ).
fof(f1260,plain,
( spl13_147
<=> ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK7)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_147])]) ).
fof(f1271,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK4,X0),sK2) )
| ~ spl13_139
| ~ spl13_147 ),
inference(resolution,[],[f1261,f1222]) ).
fof(f1261,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK7)))
| setIn(X0,pids) )
| ~ spl13_147 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f2898,plain,
( spl13_297
| spl13_298
| ~ spl13_120
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1229,f1221,f1034,f2896,f2892]) ).
fof(f2896,plain,
( spl13_298
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_298])]) ).
fof(f1034,plain,
( spl13_120
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).
fof(f1229,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),sK2)
| setIn(sK7,pids) )
| ~ spl13_120
| ~ spl13_139 ),
inference(resolution,[],[f1222,f1035]) ).
fof(f1035,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl13_120 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f2890,plain,
( spl13_296
| ~ spl13_121
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1228,f1221,f1038,f2888]) ).
fof(f2888,plain,
( spl13_296
<=> ! [X0] :
( ~ elem(m_Ack(sK7,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_296])]) ).
fof(f1038,plain,
( spl13_121
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).
fof(f1228,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),sK2)
| setIn(X0,pids) )
| ~ spl13_121
| ~ spl13_139 ),
inference(resolution,[],[f1222,f1039]) ).
fof(f1039,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl13_121 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f2872,plain,
( spl13_295
| ~ spl13_14
| ~ spl13_294 ),
inference(avatar_split_clause,[],[f2865,f2862,f412,f2870]) ).
fof(f2862,plain,
( spl13_294
<=> ! [X0] :
( ~ leq(X0,sK7)
| leq(X0,s(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_294])]) ).
fof(f2865,plain,
( ! [X0] :
( leq(X0,s(sK6))
| ~ leq(X0,sK7) )
| ~ spl13_14
| ~ spl13_294 ),
inference(forward_demodulation,[],[f2863,f414]) ).
fof(f2863,plain,
( ! [X0] :
( ~ leq(X0,sK7)
| leq(X0,s(sK3)) )
| ~ spl13_294 ),
inference(avatar_component_clause,[],[f2862]) ).
fof(f2864,plain,
( spl13_294
| ~ spl13_32
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1979,f1925,f525,f2862]) ).
fof(f1979,plain,
( ! [X0] :
( ~ leq(X0,sK7)
| leq(X0,s(sK3)) )
| ~ spl13_32
| ~ spl13_218 ),
inference(resolution,[],[f1926,f527]) ).
fof(f2859,plain,
( spl13_293
| ~ spl13_40
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1978,f1925,f570,f2857]) ).
fof(f2857,plain,
( spl13_293
<=> ! [X0] :
( ~ leq(X0,sK6)
| leq(X0,s(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_293])]) ).
fof(f570,plain,
( spl13_40
<=> leq(sK6,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f1978,plain,
( ! [X0] :
( ~ leq(X0,sK6)
| leq(X0,s(sK3)) )
| ~ spl13_40
| ~ spl13_218 ),
inference(resolution,[],[f1926,f572]) ).
fof(f572,plain,
( leq(sK6,sK3)
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2854,plain,
( spl13_292
| ~ spl13_46
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1977,f1925,f595,f2852]) ).
fof(f2852,plain,
( spl13_292
<=> ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_292])]) ).
fof(f595,plain,
( spl13_46
<=> leq(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).
fof(f1977,plain,
( ! [X0] :
( ~ leq(X0,sK4)
| leq(X0,s(sK3)) )
| ~ spl13_46
| ~ spl13_218 ),
inference(resolution,[],[f1926,f597]) ).
fof(f597,plain,
( leq(sK4,sK3)
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f2850,plain,
( spl13_291
| ~ spl13_26
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1224,f1221,f483,f2848]) ).
fof(f1224,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl13_26
| ~ spl13_139 ),
inference(resolution,[],[f1222,f484]) ).
fof(f2844,plain,
( ~ spl13_290
| ~ spl13_14
| spl13_202 ),
inference(avatar_split_clause,[],[f2556,f1729,f412,f2841]) ).
fof(f2556,plain,
( sK6 != sK7
| ~ spl13_14
| spl13_202 ),
inference(superposition,[],[f1730,f414]) ).
fof(f1730,plain,
( sK3 != sK7
| spl13_202 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f2799,plain,
( spl13_289
| ~ spl13_14
| ~ spl13_258 ),
inference(avatar_split_clause,[],[f2783,f2427,f412,f2796]) ).
fof(f2796,plain,
( spl13_289
<=> leq(sK6,index(elid,host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_289])]) ).
fof(f2427,plain,
( spl13_258
<=> leq(sK3,index(elid,host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_258])]) ).
fof(f2783,plain,
( leq(sK6,index(elid,host(sK7)))
| ~ spl13_14
| ~ spl13_258 ),
inference(forward_demodulation,[],[f2429,f414]) ).
fof(f2429,plain,
( leq(sK3,index(elid,host(sK7)))
| ~ spl13_258 ),
inference(avatar_component_clause,[],[f2427]) ).
fof(f2792,plain,
( spl13_288
| ~ spl13_14
| ~ spl13_284 ),
inference(avatar_split_clause,[],[f2737,f2734,f412,f2790]) ).
fof(f2734,plain,
( spl13_284
<=> ! [X0] :
( leq(sK7,X0)
| leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_284])]) ).
fof(f2737,plain,
( ! [X0] :
( leq(X0,sK6)
| leq(sK7,X0) )
| ~ spl13_14
| ~ spl13_284 ),
inference(forward_demodulation,[],[f2735,f414]) ).
fof(f2735,plain,
( ! [X0] :
( leq(sK7,X0)
| leq(X0,sK3) )
| ~ spl13_284 ),
inference(avatar_component_clause,[],[f2734]) ).
fof(f2788,plain,
( ~ spl13_1
| ~ spl13_279
| ~ spl13_10
| ~ spl13_272 ),
inference(avatar_split_clause,[],[f2666,f2574,f392,f2669,f345]) ).
fof(f2574,plain,
( spl13_272
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ leq(X0,sK6)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_272])]) ).
fof(f2666,plain,
( ~ leq(sK4,sK6)
| ~ setIn(sK4,alive)
| ~ spl13_10
| ~ spl13_272 ),
inference(trivial_inequality_removal,[],[f2661]) ).
fof(f2661,plain,
( host(sK7) != host(sK7)
| ~ leq(sK4,sK6)
| ~ setIn(sK4,alive)
| ~ spl13_10
| ~ spl13_272 ),
inference(superposition,[],[f2575,f394]) ).
fof(f2575,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ leq(X0,sK6)
| ~ setIn(X0,alive) )
| ~ spl13_272 ),
inference(avatar_component_clause,[],[f2574]) ).
fof(f2786,plain,
( ~ spl13_1
| spl13_174
| ~ spl13_10
| ~ spl13_270 ),
inference(avatar_split_clause,[],[f2599,f2538,f392,f1476,f345]) ).
fof(f1476,plain,
( spl13_174
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_174])]) ).
fof(f2599,plain,
( sK3 = sK4
| ~ setIn(sK4,alive)
| ~ spl13_10
| ~ spl13_270 ),
inference(trivial_inequality_removal,[],[f2594]) ).
fof(f2594,plain,
( host(sK7) != host(sK7)
| sK3 = sK4
| ~ setIn(sK4,alive)
| ~ spl13_10
| ~ spl13_270 ),
inference(superposition,[],[f2539,f394]) ).
fof(f2782,plain,
( spl13_287
| ~ spl13_14
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f2551,f1295,f412,f2779]) ).
fof(f2551,plain,
( leq(index(elid,host(sK7)),sK6)
| ~ spl13_14
| ~ spl13_155 ),
inference(superposition,[],[f1297,f414]) ).
fof(f2776,plain,
( ~ spl13_286
| spl13_20
| ~ spl13_11
| ~ spl13_164 ),
inference(avatar_split_clause,[],[f2536,f1383,f397,f446,f2773]) ).
fof(f446,plain,
( spl13_20
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f1383,plain,
( spl13_164
<=> ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_164])]) ).
fof(f2536,plain,
( setIn(sK3,alive)
| ~ leq(sK3,sK3)
| ~ spl13_11
| ~ spl13_164 ),
inference(trivial_inequality_removal,[],[f2529]) ).
fof(f2529,plain,
( host(sK7) != host(sK7)
| setIn(sK3,alive)
| ~ leq(sK3,sK3)
| ~ spl13_11
| ~ spl13_164 ),
inference(superposition,[],[f1384,f399]) ).
fof(f1384,plain,
( ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK3,X0) )
| ~ spl13_164 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f2768,plain,
( ~ spl13_285
| ~ spl13_14
| spl13_192 ),
inference(avatar_split_clause,[],[f2554,f1619,f412,f2765]) ).
fof(f2554,plain,
( ~ leq(sK6,sK6)
| ~ spl13_14
| spl13_192 ),
inference(superposition,[],[f1621,f414]) ).
fof(f1621,plain,
( ~ leq(sK3,sK6)
| spl13_192 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f2736,plain,
( spl13_284
| ~ spl13_32
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1919,f1904,f525,f2734]) ).
fof(f1919,plain,
( ! [X0] :
( leq(sK7,X0)
| leq(X0,sK3) )
| ~ spl13_32
| ~ spl13_216 ),
inference(resolution,[],[f1905,f527]) ).
fof(f2731,plain,
( spl13_283
| ~ spl13_40
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1918,f1904,f570,f2729]) ).
fof(f2729,plain,
( spl13_283
<=> ! [X0] :
( leq(sK6,X0)
| leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_283])]) ).
fof(f1918,plain,
( ! [X0] :
( leq(sK6,X0)
| leq(X0,sK3) )
| ~ spl13_40
| ~ spl13_216 ),
inference(resolution,[],[f1905,f572]) ).
fof(f2726,plain,
( spl13_282
| ~ spl13_46
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f1917,f1904,f595,f2724]) ).
fof(f2724,plain,
( spl13_282
<=> ! [X0] :
( leq(sK4,X0)
| leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_282])]) ).
fof(f1917,plain,
( ! [X0] :
( leq(sK4,X0)
| leq(X0,sK3) )
| ~ spl13_46
| ~ spl13_216 ),
inference(resolution,[],[f1905,f597]) ).
fof(f2709,plain,
( ~ spl13_281
| ~ spl13_14
| spl13_173 ),
inference(avatar_split_clause,[],[f2553,f1472,f412,f2706]) ).
fof(f2553,plain,
( ~ leq(sK6,sK4)
| ~ spl13_14
| spl13_173 ),
inference(superposition,[],[f1474,f414]) ).
fof(f1474,plain,
( ~ leq(sK3,sK4)
| spl13_173 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f2704,plain,
( ~ spl13_40
| spl13_20
| ~ spl13_11
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1417,f1407,f397,f446,f570]) ).
fof(f1407,plain,
( spl13_166
<=> ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_166])]) ).
fof(f1417,plain,
( setIn(sK3,alive)
| ~ leq(sK6,sK3)
| ~ spl13_11
| ~ spl13_166 ),
inference(trivial_inequality_removal,[],[f1410]) ).
fof(f1410,plain,
( host(sK7) != host(sK7)
| setIn(sK3,alive)
| ~ leq(sK6,sK3)
| ~ spl13_11
| ~ spl13_166 ),
inference(superposition,[],[f1408,f399]) ).
fof(f1408,plain,
( ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK6,X0) )
| ~ spl13_166 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f2703,plain,
( ~ spl13_46
| spl13_20
| ~ spl13_11
| ~ spl13_165 ),
inference(avatar_split_clause,[],[f1405,f1395,f397,f446,f595]) ).
fof(f1395,plain,
( spl13_165
<=> ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_165])]) ).
fof(f1405,plain,
( setIn(sK3,alive)
| ~ leq(sK4,sK3)
| ~ spl13_11
| ~ spl13_165 ),
inference(trivial_inequality_removal,[],[f1398]) ).
fof(f1398,plain,
( host(sK7) != host(sK7)
| setIn(sK3,alive)
| ~ leq(sK4,sK3)
| ~ spl13_11
| ~ spl13_165 ),
inference(superposition,[],[f1396,f399]) ).
fof(f1396,plain,
( ! [X0] :
( host(X0) != host(sK7)
| setIn(X0,alive)
| ~ leq(sK4,X0) )
| ~ spl13_165 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f2700,plain,
( spl13_143
| ~ spl13_13
| ~ spl13_141 ),
inference(avatar_split_clause,[],[f2688,f1236,f408,f1244]) ).
fof(f1244,plain,
( spl13_143
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_143])]) ).
fof(f1236,plain,
( spl13_141
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_141])]) ).
fof(f2688,plain,
( setIn(sK6,pids)
| ~ spl13_13
| ~ spl13_141 ),
inference(superposition,[],[f1238,f409]) ).
fof(f1238,plain,
( setIn(sK4,pids)
| ~ spl13_141 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f2699,plain,
( ~ spl13_280
| ~ spl13_13
| spl13_16 ),
inference(avatar_split_clause,[],[f2686,f422,f408,f2696]) ).
fof(f2696,plain,
( spl13_280
<=> sK6 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_280])]) ).
fof(f422,plain,
( spl13_16
<=> sK4 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f2686,plain,
( sK6 != sK8
| ~ spl13_13
| spl13_16 ),
inference(superposition,[],[f424,f409]) ).
fof(f424,plain,
( sK4 != sK8
| spl13_16 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f2694,plain,
( spl13_15
| ~ spl13_14
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f2583,f446,f412,f417]) ).
fof(f2583,plain,
( setIn(sK6,alive)
| ~ spl13_14
| ~ spl13_20 ),
inference(forward_demodulation,[],[f447,f414]) ).
fof(f447,plain,
( setIn(sK3,alive)
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f2677,plain,
( ~ spl13_279
| spl13_15
| ~ spl13_5
| ~ spl13_165 ),
inference(avatar_split_clause,[],[f1403,f1395,f365,f417,f2669]) ).
fof(f1403,plain,
( setIn(sK6,alive)
| ~ leq(sK4,sK6)
| ~ spl13_5
| ~ spl13_165 ),
inference(trivial_inequality_removal,[],[f1400]) ).
fof(f1400,plain,
( host(sK7) != host(sK7)
| setIn(sK6,alive)
| ~ leq(sK4,sK6)
| ~ spl13_5
| ~ spl13_165 ),
inference(superposition,[],[f1396,f367]) ).
fof(f2672,plain,
( spl13_279
| ~ spl13_14
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f2549,f595,f412,f2669]) ).
fof(f2549,plain,
( leq(sK4,sK6)
| ~ spl13_14
| ~ spl13_46 ),
inference(superposition,[],[f597,f414]) ).
fof(f2630,plain,
( ~ spl13_15
| spl13_13
| ~ spl13_5
| ~ spl13_168 ),
inference(avatar_split_clause,[],[f1437,f1429,f365,f408,f417]) ).
fof(f1429,plain,
( spl13_168
<=> ! [X0] :
( host(X0) != host(sK7)
| sK4 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_168])]) ).
fof(f1437,plain,
( sK4 = sK6
| ~ setIn(sK6,alive)
| ~ spl13_5
| ~ spl13_168 ),
inference(trivial_inequality_removal,[],[f1434]) ).
fof(f1434,plain,
( host(sK7) != host(sK7)
| sK4 = sK6
| ~ setIn(sK6,alive)
| ~ spl13_5
| ~ spl13_168 ),
inference(superposition,[],[f1430,f367]) ).
fof(f1430,plain,
( ! [X0] :
( host(X0) != host(sK7)
| sK4 = X0
| ~ setIn(X0,alive) )
| ~ spl13_168 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f2627,plain,
( ~ spl13_277
| spl13_278
| ~ spl13_167 ),
inference(avatar_split_clause,[],[f1426,f1419,f2624,f2620]) ).
fof(f1419,plain,
( spl13_167
<=> ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK8,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_167])]) ).
fof(f1426,plain,
( setIn(sK9,alive)
| ~ leq(sK8,sK9)
| ~ spl13_167 ),
inference(equality_resolution,[],[f1420]) ).
fof(f1420,plain,
( ! [X0] :
( host(X0) != host(sK9)
| setIn(X0,alive)
| ~ leq(sK8,X0) )
| ~ spl13_167 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f2616,plain,
( ~ spl13_276
| spl13_264
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1414,f1407,f2480,f2613]) ).
fof(f1414,plain,
( setIn(sK7,alive)
| ~ leq(sK6,sK7)
| ~ spl13_166 ),
inference(equality_resolution,[],[f1408]) ).
fof(f2609,plain,
( ~ spl13_275
| spl13_264
| ~ spl13_165 ),
inference(avatar_split_clause,[],[f1402,f1395,f2480,f2606]) ).
fof(f1402,plain,
( setIn(sK7,alive)
| ~ leq(sK4,sK7)
| ~ spl13_165 ),
inference(equality_resolution,[],[f1396]) ).
fof(f2603,plain,
( spl13_274
| ~ spl13_139
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f2592,f1248,f1221,f2601]) ).
fof(f2601,plain,
( spl13_274
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_274])]) ).
fof(f1248,plain,
( spl13_144
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_144])]) ).
fof(f2592,plain,
( ! [X0] : ~ elem(m_Ack(sK6,X0),sK2)
| ~ spl13_139
| ~ spl13_144 ),
inference(resolution,[],[f1249,f1222]) ).
fof(f1249,plain,
( ! [X0] : ~ elem(m_Ack(sK6,X0),queue(host(sK7)))
| ~ spl13_144 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f2589,plain,
( spl13_273
| ~ spl13_14
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f2547,f525,f412,f2586]) ).
fof(f2547,plain,
( leq(sK7,sK6)
| ~ spl13_14
| ~ spl13_32 ),
inference(superposition,[],[f527,f414]) ).
fof(f2584,plain,
( spl13_15
| ~ spl13_14
| ~ spl13_20 ),
inference(avatar_split_clause,[],[f2583,f446,f412,f417]) ).
fof(f2576,plain,
( spl13_15
| spl13_272
| ~ spl13_5
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f630,f600,f365,f2574,f417]) ).
fof(f600,plain,
( spl13_47
<=> ! [X20,X19] :
( ~ setIn(X20,alive)
| host(X19) != host(X20)
| ~ leq(X20,X19)
| setIn(X19,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f630,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ leq(X0,sK6)
| setIn(sK6,alive) )
| ~ spl13_5
| ~ spl13_47 ),
inference(superposition,[],[f601,f367]) ).
fof(f601,plain,
( ! [X19,X20] :
( host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ leq(X20,X19)
| setIn(X19,alive) )
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f2563,plain,
( ~ spl13_271
| spl13_4
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f2545,f412,f360,f2560]) ).
fof(f2560,plain,
( spl13_271
<=> s(zero) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_271])]) ).
fof(f360,plain,
( spl13_4
<=> s(zero) = host(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f2545,plain,
( s(zero) != host(sK6)
| spl13_4
| ~ spl13_14 ),
inference(superposition,[],[f362,f414]) ).
fof(f362,plain,
( s(zero) != host(sK3)
| spl13_4 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f2558,plain,
( ~ spl13_143
| spl13_2
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f2544,f412,f350,f1244]) ).
fof(f2544,plain,
( ~ setIn(sK6,pids)
| spl13_2
| ~ spl13_14 ),
inference(superposition,[],[f352,f414]) ).
fof(f2540,plain,
( ~ spl13_20
| spl13_270
| ~ spl13_11
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f644,f604,f397,f2538,f446]) ).
fof(f604,plain,
( spl13_48
<=> ! [X18,X17] :
( ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| X17 = X18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f644,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ setIn(sK3,alive)
| sK3 = X0 )
| ~ spl13_11
| ~ spl13_48 ),
inference(superposition,[],[f605,f399]) ).
fof(f605,plain,
( ! [X18,X17] :
( host(X17) != host(X18)
| ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18 )
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f2528,plain,
( ~ spl13_15
| ~ spl13_40
| ~ spl13_5
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f1391,f1379,f365,f570,f417]) ).
fof(f1379,plain,
( spl13_163
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ leq(X0,sK3)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_163])]) ).
fof(f1391,plain,
( ~ leq(sK6,sK3)
| ~ setIn(sK6,alive)
| ~ spl13_5
| ~ spl13_163 ),
inference(trivial_inequality_removal,[],[f1388]) ).
fof(f1388,plain,
( host(sK7) != host(sK7)
| ~ leq(sK6,sK3)
| ~ setIn(sK6,alive)
| ~ spl13_5
| ~ spl13_163 ),
inference(superposition,[],[f1380,f367]) ).
fof(f1380,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ leq(X0,sK3)
| ~ setIn(X0,alive) )
| ~ spl13_163 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f2503,plain,
( spl13_269
| ~ spl13_56
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1208,f1196,f677,f2501]) ).
fof(f2501,plain,
( spl13_269
<=> ! [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,[spl13_269])]) ).
fof(f1196,plain,
( spl13_137
<=> ! [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,[spl13_137])]) ).
fof(f1208,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) )
| ~ spl13_56
| ~ spl13_137 ),
inference(superposition,[],[f1197,f678]) ).
fof(f1197,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) )
| ~ spl13_137 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f2499,plain,
( spl13_268
| ~ spl13_55
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1207,f1196,f673,f2497]) ).
fof(f2497,plain,
( spl13_268
<=> ! [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,[spl13_268])]) ).
fof(f1207,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) )
| ~ spl13_55
| ~ spl13_137 ),
inference(superposition,[],[f1197,f674]) ).
fof(f2495,plain,
( spl13_267
| ~ spl13_56
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1206,f1196,f677,f2493]) ).
fof(f1206,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) )
| ~ spl13_56
| ~ spl13_137 ),
inference(superposition,[],[f1197,f678]) ).
fof(f2491,plain,
( spl13_266
| ~ spl13_55
| ~ spl13_137 ),
inference(avatar_split_clause,[],[f1205,f1196,f673,f2489]) ).
fof(f1205,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) )
| ~ spl13_55
| ~ spl13_137 ),
inference(superposition,[],[f1197,f674]) ).
fof(f2487,plain,
( spl13_265
| ~ spl13_56
| ~ spl13_136 ),
inference(avatar_split_clause,[],[f1202,f1192,f677,f2485]) ).
fof(f2485,plain,
( spl13_265
<=> ! [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,[spl13_265])]) ).
fof(f1192,plain,
( spl13_136
<=> ! [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,[spl13_136])]) ).
fof(f1202,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) )
| ~ spl13_56
| ~ spl13_136 ),
inference(superposition,[],[f1193,f678]) ).
fof(f1193,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) )
| ~ spl13_136 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f2483,plain,
( ~ spl13_264
| ~ spl13_32
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f1390,f1379,f525,f2480]) ).
fof(f1390,plain,
( ~ leq(sK7,sK3)
| ~ setIn(sK7,alive)
| ~ spl13_163 ),
inference(equality_resolution,[],[f1380]) ).
fof(f2478,plain,
( spl13_263
| ~ spl13_55
| ~ spl13_136 ),
inference(avatar_split_clause,[],[f1201,f1192,f673,f2476]) ).
fof(f2476,plain,
( spl13_263
<=> ! [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,[spl13_263])]) ).
fof(f1201,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) )
| ~ spl13_55
| ~ spl13_136 ),
inference(superposition,[],[f1193,f674]) ).
fof(f2474,plain,
( spl13_262
| ~ spl13_56
| ~ spl13_136 ),
inference(avatar_split_clause,[],[f1200,f1192,f677,f2472]) ).
fof(f1200,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) )
| ~ spl13_56
| ~ spl13_136 ),
inference(superposition,[],[f1193,f678]) ).
fof(f2470,plain,
( spl13_261
| ~ spl13_55
| ~ spl13_136 ),
inference(avatar_split_clause,[],[f1199,f1192,f673,f2468]) ).
fof(f1199,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) )
| ~ spl13_55
| ~ spl13_136 ),
inference(superposition,[],[f1193,f674]) ).
fof(f2464,plain,
( spl13_260
| ~ spl13_93
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1170,f1156,f843,f2462]) ).
fof(f843,plain,
( spl13_93
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f1156,plain,
( spl13_131
<=> ! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).
fof(f1170,plain,
( ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) )
| ~ spl13_93
| ~ spl13_131 ),
inference(resolution,[],[f1157,f844]) ).
fof(f844,plain,
( ! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP1(X0,X1) )
| ~ spl13_93 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f1157,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK10(X0)) = X0
| m_Down(sK10(X0)) = X0 )
| ~ spl13_131 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f2460,plain,
( spl13_259
| ~ spl13_91
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1169,f1156,f835,f2458]) ).
fof(f835,plain,
( spl13_91
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).
fof(f1169,plain,
( ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_91
| ~ spl13_131 ),
inference(resolution,[],[f1157,f836]) ).
fof(f836,plain,
( ! [X0,X1] :
( pidElem(sK11(X0,X1))
| sP0(X0,X1) )
| ~ spl13_91 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f2430,plain,
( spl13_258
| ~ spl13_80
| spl13_155 ),
inference(avatar_split_clause,[],[f1303,f1295,f782,f2427]) ).
fof(f1303,plain,
( leq(sK3,index(elid,host(sK7)))
| ~ spl13_80
| spl13_155 ),
inference(resolution,[],[f1296,f783]) ).
fof(f2385,plain,
( spl13_257
| ~ spl13_106
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1152,f1116,f909,f2383]) ).
fof(f1152,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl13_106
| ~ spl13_130 ),
inference(resolution,[],[f1117,f910]) ).
fof(f2381,plain,
( spl13_256
| ~ spl13_105
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1151,f1116,f905,f2379]) ).
fof(f1151,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl13_105
| ~ spl13_130 ),
inference(resolution,[],[f1117,f906]) ).
fof(f2377,plain,
( spl13_255
| ~ spl13_106
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1145,f1111,f909,f2375]) ).
fof(f1145,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl13_106
| ~ spl13_129 ),
inference(resolution,[],[f1112,f910]) ).
fof(f2373,plain,
( spl13_254
| ~ spl13_105
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1144,f1111,f905,f2371]) ).
fof(f1144,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl13_105
| ~ spl13_129 ),
inference(resolution,[],[f1112,f906]) ).
fof(f2342,plain,
( spl13_253
| ~ spl13_128
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1148,f1111,f1107,f2340]) ).
fof(f1148,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl13_128
| ~ spl13_129 ),
inference(superposition,[],[f1112,f1108]) ).
fof(f2338,plain,
( spl13_252
| ~ spl13_115
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1139,f1107,f986,f2336]) ).
fof(f986,plain,
( spl13_115
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).
fof(f1139,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_115
| ~ spl13_128 ),
inference(superposition,[],[f987,f1108]) ).
fof(f987,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl13_115 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f2334,plain,
( ~ spl13_251
| ~ spl13_6
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f1077,f823,f370,f2331]) ).
fof(f2331,plain,
( spl13_251
<=> elem(m_Down(sK8),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_251])]) ).
fof(f1077,plain,
( ~ elem(m_Down(sK8),queue(host(sK9)))
| ~ spl13_6
| ~ spl13_88 ),
inference(superposition,[],[f824,f372]) ).
fof(f2256,plain,
( spl13_250
| ~ spl13_44
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1168,f1156,f587,f2254]) ).
fof(f587,plain,
( spl13_44
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f1168,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) )
| ~ spl13_44
| ~ spl13_131 ),
inference(resolution,[],[f1157,f588]) ).
fof(f588,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f2252,plain,
( spl13_249
| ~ spl13_45
| ~ spl13_131 ),
inference(avatar_split_clause,[],[f1167,f1156,f591,f2250]) ).
fof(f591,plain,
( spl13_45
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f1167,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) )
| ~ spl13_45
| ~ spl13_131 ),
inference(resolution,[],[f1157,f592]) ).
fof(f592,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f2248,plain,
( spl13_248
| ~ spl13_119
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1154,f1116,f1030,f2246]) ).
fof(f2246,plain,
( spl13_248
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_248])]) ).
fof(f1154,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_119
| ~ spl13_130 ),
inference(superposition,[],[f1117,f1031]) ).
fof(f2244,plain,
( spl13_247
| ~ spl13_118
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1147,f1111,f1026,f2242]) ).
fof(f2242,plain,
( spl13_247
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_247])]) ).
fof(f1147,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_118
| ~ spl13_129 ),
inference(superposition,[],[f1112,f1027]) ).
fof(f2240,plain,
( spl13_246
| ~ spl13_119
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1131,f1107,f1030,f2238]) ).
fof(f1131,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_119
| ~ spl13_128 ),
inference(superposition,[],[f1108,f1031]) ).
fof(f2236,plain,
( ~ spl13_245
| ~ spl13_5
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f1076,f823,f365,f2233]) ).
fof(f2233,plain,
( spl13_245
<=> elem(m_Down(sK6),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_245])]) ).
fof(f1076,plain,
( ~ elem(m_Down(sK6),queue(host(sK7)))
| ~ spl13_5
| ~ spl13_88 ),
inference(superposition,[],[f824,f367]) ).
fof(f2192,plain,
( spl13_244
| ~ spl13_114
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1072,f1030,f982,f2190]) ).
fof(f1072,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_114
| ~ spl13_119 ),
inference(superposition,[],[f983,f1031]) ).
fof(f2188,plain,
( spl13_243
| ~ spl13_115
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1064,f1026,f986,f2186]) ).
fof(f1064,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_115
| ~ spl13_118 ),
inference(superposition,[],[f987,f1027]) ).
fof(f2184,plain,
( spl13_242
| ~ spl13_102
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1010,f990,f892,f2182]) ).
fof(f1010,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl13_102
| ~ spl13_116 ),
inference(resolution,[],[f991,f893]) ).
fof(f2150,plain,
( spl13_241
| ~ spl13_107
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1141,f1107,f913,f2148]) ).
fof(f913,plain,
( spl13_107
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).
fof(f1141,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_107
| ~ spl13_128 ),
inference(superposition,[],[f914,f1108]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl13_107 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f2146,plain,
( ~ spl13_240
| ~ spl13_10
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f1075,f823,f392,f2143]) ).
fof(f2143,plain,
( spl13_240
<=> elem(m_Down(sK4),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_240])]) ).
fof(f1075,plain,
( ~ elem(m_Down(sK4),queue(host(sK7)))
| ~ spl13_10
| ~ spl13_88 ),
inference(superposition,[],[f824,f394]) ).
fof(f2141,plain,
( spl13_239
| ~ spl13_108
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1138,f1107,f917,f2139]) ).
fof(f917,plain,
( spl13_108
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).
fof(f1138,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl13_108
| ~ spl13_128 ),
inference(superposition,[],[f918,f1108]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl13_108 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f2137,plain,
( spl13_238
| ~ spl13_102
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1129,f1103,f892,f2135]) ).
fof(f1129,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl13_102
| ~ spl13_127 ),
inference(resolution,[],[f1104,f893]) ).
fof(f2083,plain,
( ~ spl13_237
| ~ spl13_11
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f1074,f823,f397,f2080]) ).
fof(f1074,plain,
( ~ elem(m_Down(sK3),queue(host(sK7)))
| ~ spl13_11
| ~ spl13_88 ),
inference(superposition,[],[f824,f399]) ).
fof(f2069,plain,
( spl13_236
| ~ spl13_90
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1140,f1107,f831,f2067]) ).
fof(f831,plain,
( spl13_90
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).
fof(f1140,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_90
| ~ spl13_128 ),
inference(superposition,[],[f832,f1108]) ).
fof(f832,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl13_90 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f2065,plain,
( spl13_235
| ~ spl13_94
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1137,f1107,f847,f2063]) ).
fof(f847,plain,
( spl13_94
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).
fof(f1137,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl13_94
| ~ spl13_128 ),
inference(superposition,[],[f848,f1108]) ).
fof(f848,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl13_94 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f2061,plain,
( spl13_234
| ~ spl13_80
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1127,f1103,f782,f2059]) ).
fof(f1127,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl13_80
| ~ spl13_127 ),
inference(resolution,[],[f1104,f783]) ).
fof(f2057,plain,
( spl13_233
| ~ spl13_56
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1095,f1046,f677,f2055]) ).
fof(f1046,plain,
( spl13_123
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).
fof(f1095,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl13_56
| ~ spl13_123 ),
inference(superposition,[],[f1047,f678]) ).
fof(f1047,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl13_123 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f2053,plain,
( spl13_232
| ~ spl13_55
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1094,f1046,f673,f2051]) ).
fof(f1094,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl13_55
| ~ spl13_123 ),
inference(superposition,[],[f1047,f674]) ).
fof(f2049,plain,
( spl13_231
| ~ spl13_56
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1091,f1042,f677,f2047]) ).
fof(f1042,plain,
( spl13_122
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).
fof(f1091,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl13_56
| ~ spl13_122 ),
inference(superposition,[],[f1043,f678]) ).
fof(f1043,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_122 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f2045,plain,
( spl13_230
| ~ spl13_55
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1090,f1042,f673,f2043]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl13_55
| ~ spl13_122 ),
inference(superposition,[],[f1043,f674]) ).
fof(f2041,plain,
( spl13_229
| ~ spl13_102
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1021,f994,f892,f2039]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl13_102
| ~ spl13_117 ),
inference(resolution,[],[f995,f893]) ).
fof(f2037,plain,
( spl13_228
| ~ spl13_95
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1006,f990,f851,f2035]) ).
fof(f1006,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl13_95
| ~ spl13_116 ),
inference(resolution,[],[f991,f852]) ).
fof(f2033,plain,
( spl13_227
| ~ spl13_32
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1024,f994,f525,f2031]) ).
fof(f1024,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK7) )
| ~ spl13_32
| ~ spl13_117 ),
inference(resolution,[],[f995,f527]) ).
fof(f1959,plain,
( spl13_226
| ~ spl13_82
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1136,f1107,f790,f1957]) ).
fof(f790,plain,
( spl13_82
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).
fof(f1136,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl13_82
| ~ spl13_128 ),
inference(superposition,[],[f791,f1108]) ).
fof(f791,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl13_82 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1955,plain,
( spl13_225
| ~ spl13_40
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1023,f994,f570,f1953]) ).
fof(f1953,plain,
( spl13_225
<=> ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_225])]) ).
fof(f1023,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK6) )
| ~ spl13_40
| ~ spl13_117 ),
inference(resolution,[],[f995,f572]) ).
fof(f1951,plain,
( spl13_224
| ~ spl13_78
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1135,f1107,f773,f1949]) ).
fof(f773,plain,
( spl13_78
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f1135,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl13_78
| ~ spl13_128 ),
inference(superposition,[],[f774,f1108]) ).
fof(f774,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl13_78 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f1947,plain,
( spl13_223
| ~ spl13_80
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1092,f1046,f782,f1945]) ).
fof(f1092,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) )
| ~ spl13_80
| ~ spl13_123 ),
inference(resolution,[],[f1047,f783]) ).
fof(f1943,plain,
( spl13_222
| ~ spl13_109
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1071,f1030,f921,f1941]) ).
fof(f1071,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_109
| ~ spl13_119 ),
inference(superposition,[],[f922,f1031]) ).
fof(f1939,plain,
( spl13_221
| ~ spl13_92
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1070,f1030,f839,f1937]) ).
fof(f1937,plain,
( spl13_221
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_221])]) ).
fof(f1070,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl13_92
| ~ spl13_119 ),
inference(superposition,[],[f840,f1031]) ).
fof(f1935,plain,
( spl13_220
| ~ spl13_108
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1063,f1026,f917,f1933]) ).
fof(f1063,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_108
| ~ spl13_118 ),
inference(superposition,[],[f918,f1027]) ).
fof(f1931,plain,
( spl13_219
| ~ spl13_94
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1062,f1026,f847,f1929]) ).
fof(f1929,plain,
( spl13_219
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_219])]) ).
fof(f1062,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl13_94
| ~ spl13_118 ),
inference(superposition,[],[f848,f1027]) ).
fof(f1927,plain,
( spl13_218
| ~ spl13_95
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1017,f994,f851,f1925]) ).
fof(f1017,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl13_95
| ~ spl13_117 ),
inference(resolution,[],[f995,f852]) ).
fof(f1923,plain,
( spl13_217
| ~ spl13_57
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1009,f990,f681,f1921]) ).
fof(f1921,plain,
( spl13_217
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_217])]) ).
fof(f1009,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl13_57
| ~ spl13_116 ),
inference(resolution,[],[f991,f682]) ).
fof(f1906,plain,
( spl13_216
| ~ spl13_80
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1015,f994,f782,f1904]) ).
fof(f1015,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl13_80
| ~ spl13_117 ),
inference(resolution,[],[f995,f783]) ).
fof(f1902,plain,
( spl13_215
| ~ spl13_46
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1022,f994,f595,f1900]) ).
fof(f1900,plain,
( spl13_215
<=> ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_215])]) ).
fof(f1022,plain,
( ! [X0] :
( leq(X0,sK3)
| ~ leq(X0,sK4) )
| ~ spl13_46
| ~ spl13_117 ),
inference(resolution,[],[f995,f597]) ).
fof(f1853,plain,
( ~ spl13_18
| spl13_214
| ~ spl13_6
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f979,f967,f370,f1851,f431]) ).
fof(f967,plain,
( spl13_113
<=> ! [X10,X11,X12,X9] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X10) != host(X9)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).
fof(f979,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(sK9)))
| host(X2) != host(X1)
| ~ setIn(sK8,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK9) )
| ~ spl13_6
| ~ spl13_113 ),
inference(superposition,[],[f968,f372]) ).
fof(f968,plain,
( ! [X10,X11,X9,X12] :
( host(X12) != host(X11)
| ~ elem(m_Down(X12),queue(host(X9)))
| ~ setIn(host(X10),index(down,host(X11)))
| host(X10) != host(X9)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
| ~ spl13_113 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f1840,plain,
( ~ spl13_1
| spl13_213
| ~ spl13_10
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f977,f967,f392,f1838,f345]) ).
fof(f977,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(sK7)))
| host(X2) != host(X1)
| ~ setIn(sK4,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK7) )
| ~ spl13_10
| ~ spl13_113 ),
inference(superposition,[],[f968,f394]) ).
fof(f1836,plain,
( spl13_212
| ~ spl13_6
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f974,f967,f370,f1834]) ).
fof(f974,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_113 ),
inference(superposition,[],[f968,f372]) ).
fof(f1832,plain,
( spl13_211
| ~ spl13_5
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f973,f967,f365,f1830]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_5
| ~ spl13_113 ),
inference(superposition,[],[f968,f367]) ).
fof(f1828,plain,
( spl13_210
| ~ spl13_10
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f972,f967,f392,f1826]) ).
fof(f972,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_10
| ~ spl13_113 ),
inference(superposition,[],[f968,f394]) ).
fof(f1824,plain,
( spl13_209
| ~ spl13_11
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f971,f967,f397,f1822]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ setIn(host(X2),index(down,host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_11
| ~ spl13_113 ),
inference(superposition,[],[f968,f399]) ).
fof(f1784,plain,
( spl13_208
| ~ spl13_6
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f964,f952,f370,f1782]) ).
fof(f1782,plain,
( spl13_208
<=> ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_208])]) ).
fof(f952,plain,
( spl13_112
<=> ! [X13,X14,X16,X15] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_112 ),
inference(superposition,[],[f953,f372]) ).
fof(f953,plain,
( ! [X16,X14,X15,X13] :
( host(X15) != host(X16)
| ~ elem(m_Down(X16),queue(host(X13)))
| ~ elem(m_Down(X14),queue(host(X15)))
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
| ~ spl13_112 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1780,plain,
( spl13_207
| ~ spl13_5
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f963,f952,f365,f1778]) ).
fof(f963,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_5
| ~ spl13_112 ),
inference(superposition,[],[f953,f367]) ).
fof(f1776,plain,
( spl13_206
| ~ spl13_10
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f962,f952,f392,f1774]) ).
fof(f962,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_10
| ~ spl13_112 ),
inference(superposition,[],[f953,f394]) ).
fof(f1772,plain,
( spl13_205
| ~ spl13_11
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f961,f952,f397,f1770]) ).
fof(f961,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_11
| ~ spl13_112 ),
inference(superposition,[],[f953,f399]) ).
fof(f1757,plain,
( spl13_7
| ~ spl13_6
| ~ spl13_11
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f436,f426,f397,f370,f375]) ).
fof(f426,plain,
( spl13_17
<=> sK3 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f436,plain,
( host(sK7) = host(sK9)
| ~ spl13_6
| ~ spl13_11
| ~ spl13_17 ),
inference(forward_demodulation,[],[f435,f399]) ).
fof(f435,plain,
( host(sK3) = host(sK9)
| ~ spl13_6
| ~ spl13_17 ),
inference(superposition,[],[f372,f428]) ).
fof(f428,plain,
( sK3 = sK8
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f1749,plain,
( ~ spl13_18
| spl13_204
| ~ spl13_6
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f959,f952,f370,f1747,f431]) ).
fof(f959,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK9)))
| host(X2) != host(X1)
| ~ setIn(sK8,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK9) )
| ~ spl13_6
| ~ spl13_112 ),
inference(superposition,[],[f953,f372]) ).
fof(f1736,plain,
( ~ spl13_1
| spl13_203
| ~ spl13_10
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f957,f952,f392,f1734,f345]) ).
fof(f957,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK7)))
| host(X2) != host(X1)
| ~ setIn(sK4,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK7) )
| ~ spl13_10
| ~ spl13_112 ),
inference(superposition,[],[f953,f394]) ).
fof(f1732,plain,
( ~ spl13_201
| spl13_202
| ~ spl13_32
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1013,f990,f525,f1729,f1725]) ).
fof(f1013,plain,
( sK3 = sK7
| ~ leq(sK3,sK7)
| ~ spl13_32
| ~ spl13_116 ),
inference(resolution,[],[f991,f527]) ).
fof(f1691,plain,
( spl13_200
| ~ spl13_77
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1134,f1107,f769,f1689]) ).
fof(f769,plain,
( spl13_77
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f1134,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl13_77
| ~ spl13_128 ),
inference(superposition,[],[f770,f1108]) ).
fof(f770,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl13_77 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f1687,plain,
( spl13_199
| ~ spl13_81
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1069,f1030,f786,f1685]) ).
fof(f1685,plain,
( spl13_199
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_199])]) ).
fof(f1069,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_81
| ~ spl13_119 ),
inference(superposition,[],[f787,f1031]) ).
fof(f1683,plain,
( spl13_198
| ~ spl13_82
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1061,f1026,f790,f1681]) ).
fof(f1681,plain,
( spl13_198
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_198])]) ).
fof(f1061,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl13_82
| ~ spl13_118 ),
inference(superposition,[],[f791,f1027]) ).
fof(f1679,plain,
( spl13_197
| ~ spl13_57
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1020,f994,f681,f1677]) ).
fof(f1020,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl13_57
| ~ spl13_117 ),
inference(resolution,[],[f995,f682]) ).
fof(f1670,plain,
( ~ spl13_195
| spl13_196
| ~ spl13_51
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1008,f990,f651,f1667,f1663]) ).
fof(f1667,plain,
( spl13_196
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl13_196])]) ).
fof(f1008,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl13_51
| ~ spl13_116 ),
inference(resolution,[],[f991,f653]) ).
fof(f1661,plain,
( spl13_194
| ~ spl13_53
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1007,f990,f660,f1659]) ).
fof(f1659,plain,
( spl13_194
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_194])]) ).
fof(f1007,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl13_53
| ~ spl13_116 ),
inference(resolution,[],[f991,f661]) ).
fof(f1657,plain,
( spl13_193
| ~ spl13_80
| ~ spl13_104 ),
inference(avatar_split_clause,[],[f942,f901,f782,f1655]) ).
fof(f942,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl13_80
| ~ spl13_104 ),
inference(resolution,[],[f902,f783]) ).
fof(f1622,plain,
( ~ spl13_192
| spl13_14
| ~ spl13_40
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1012,f990,f570,f412,f1619]) ).
fof(f1012,plain,
( sK3 = sK6
| ~ leq(sK3,sK6)
| ~ spl13_40
| ~ spl13_116 ),
inference(resolution,[],[f991,f572]) ).
fof(f1609,plain,
( spl13_191
| ~ spl13_72
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1133,f1107,f741,f1607]) ).
fof(f741,plain,
( spl13_72
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f1133,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl13_72
| ~ spl13_128 ),
inference(superposition,[],[f742,f1108]) ).
fof(f742,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl13_72 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f1605,plain,
( spl13_190
| ~ spl13_73
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1068,f1030,f745,f1603]) ).
fof(f1068,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl13_73
| ~ spl13_119 ),
inference(superposition,[],[f746,f1031]) ).
fof(f1601,plain,
( spl13_189
| ~ spl13_72
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1060,f1026,f741,f1599]) ).
fof(f1060,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl13_72
| ~ spl13_118 ),
inference(superposition,[],[f742,f1027]) ).
fof(f1597,plain,
( spl13_188
| ~ spl13_51
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1019,f994,f651,f1595]) ).
fof(f1019,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl13_51
| ~ spl13_117 ),
inference(resolution,[],[f995,f653]) ).
fof(f1593,plain,
( spl13_187
| ~ spl13_53
| ~ spl13_117 ),
inference(avatar_split_clause,[],[f1018,f994,f660,f1591]) ).
fof(f1018,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl13_53
| ~ spl13_117 ),
inference(resolution,[],[f995,f661]) ).
fof(f1589,plain,
( spl13_186
| ~ spl13_94
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f946,f913,f847,f1587]) ).
fof(f1587,plain,
( spl13_186
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_186])]) ).
fof(f946,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl13_94
| ~ spl13_107 ),
inference(resolution,[],[f914,f848]) ).
fof(f1585,plain,
( spl13_185
| ~ spl13_95
| ~ spl13_104 ),
inference(avatar_split_clause,[],[f940,f901,f851,f1583]) ).
fof(f940,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl13_95
| ~ spl13_104 ),
inference(resolution,[],[f902,f852]) ).
fof(f1577,plain,
( spl13_184
| ~ spl13_90
| ~ spl13_94 ),
inference(avatar_split_clause,[],[f868,f847,f831,f1575]) ).
fof(f1575,plain,
( spl13_184
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_184])]) ).
fof(f868,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl13_90
| ~ spl13_94 ),
inference(resolution,[],[f848,f832]) ).
fof(f1573,plain,
( spl13_183
| ~ spl13_77
| ~ spl13_89 ),
inference(avatar_split_clause,[],[f856,f827,f769,f1571]) ).
fof(f1571,plain,
( spl13_183
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_183])]) ).
fof(f856,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl13_77
| ~ spl13_89 ),
inference(superposition,[],[f770,f828]) ).
fof(f1569,plain,
( spl13_182
| ~ spl13_78
| ~ spl13_89 ),
inference(avatar_split_clause,[],[f855,f827,f773,f1567]) ).
fof(f1567,plain,
( spl13_182
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_182])]) ).
fof(f855,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl13_78
| ~ spl13_89 ),
inference(superposition,[],[f774,f828]) ).
fof(f1561,plain,
( spl13_181
| ~ spl13_52
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f870,f851,f656,f1559]) ).
fof(f870,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_52
| ~ spl13_95 ),
inference(resolution,[],[f852,f657]) ).
fof(f1503,plain,
( spl13_180
| ~ spl13_6
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1189,f1177,f370,f1501]) ).
fof(f1177,plain,
( spl13_135
<=> ! [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,[spl13_135])]) ).
fof(f1189,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),X1)
| leq(sK8,X0)
| ~ ordered(cons(m_Halt(sK8),X1)) )
| ~ spl13_6
| ~ spl13_135 ),
inference(superposition,[],[f1178,f372]) ).
fof(f1178,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl13_135 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1499,plain,
( spl13_179
| ~ spl13_5
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1188,f1177,f365,f1497]) ).
fof(f1497,plain,
( spl13_179
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_179])]) ).
fof(f1188,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK6,X0)
| ~ ordered(cons(m_Halt(sK6),X1)) )
| ~ spl13_5
| ~ spl13_135 ),
inference(superposition,[],[f1178,f367]) ).
fof(f1495,plain,
( spl13_178
| ~ spl13_10
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1187,f1177,f392,f1493]) ).
fof(f1187,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK4,X0)
| ~ ordered(cons(m_Halt(sK4),X1)) )
| ~ spl13_10
| ~ spl13_135 ),
inference(superposition,[],[f1178,f394]) ).
fof(f1491,plain,
( spl13_177
| ~ spl13_11
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1186,f1177,f397,f1489]) ).
fof(f1186,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl13_11
| ~ spl13_135 ),
inference(superposition,[],[f1178,f399]) ).
fof(f1487,plain,
( spl13_176
| ~ spl13_6
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1184,f1177,f370,f1485]) ).
fof(f1184,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),X1)
| leq(X0,sK8)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_6
| ~ spl13_135 ),
inference(superposition,[],[f1178,f372]) ).
fof(f1483,plain,
( spl13_175
| ~ spl13_5
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1183,f1177,f365,f1481]) ).
fof(f1183,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),X1)
| leq(X0,sK6)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_5
| ~ spl13_135 ),
inference(superposition,[],[f1178,f367]) ).
fof(f1479,plain,
( ~ spl13_173
| spl13_174
| ~ spl13_46
| ~ spl13_116 ),
inference(avatar_split_clause,[],[f1011,f990,f595,f1476,f1472]) ).
fof(f1011,plain,
( sK3 = sK4
| ~ leq(sK3,sK4)
| ~ spl13_46
| ~ spl13_116 ),
inference(resolution,[],[f991,f597]) ).
fof(f1470,plain,
( spl13_172
| ~ spl13_10
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1182,f1177,f392,f1468]) ).
fof(f1182,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),X1)
| leq(X0,sK4)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_10
| ~ spl13_135 ),
inference(superposition,[],[f1178,f394]) ).
fof(f1462,plain,
( spl13_171
| ~ spl13_52
| ~ spl13_80 ),
inference(avatar_split_clause,[],[f816,f782,f656,f1460]) ).
fof(f816,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl13_52
| ~ spl13_80 ),
inference(resolution,[],[f783,f657]) ).
fof(f1453,plain,
( ~ spl13_18
| spl13_170
| ~ spl13_6
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f642,f604,f370,f1451,f431]) ).
fof(f1451,plain,
( spl13_170
<=> ! [X0] :
( host(X0) != host(sK9)
| sK8 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_170])]) ).
fof(f642,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK8,alive)
| ~ setIn(X0,alive)
| sK8 = X0 )
| ~ spl13_6
| ~ spl13_48 ),
inference(superposition,[],[f605,f372]) ).
fof(f1442,plain,
( ~ spl13_15
| spl13_169
| ~ spl13_5
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f641,f604,f365,f1440,f417]) ).
fof(f1440,plain,
( spl13_169
<=> ! [X0] :
( host(X0) != host(sK7)
| sK6 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_169])]) ).
fof(f641,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| sK6 = X0 )
| ~ spl13_5
| ~ spl13_48 ),
inference(superposition,[],[f605,f367]) ).
fof(f1431,plain,
( ~ spl13_1
| spl13_168
| ~ spl13_10
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f640,f604,f392,f1429,f345]) ).
fof(f640,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| sK4 = X0 )
| ~ spl13_10
| ~ spl13_48 ),
inference(superposition,[],[f605,f394]) ).
fof(f1421,plain,
( ~ spl13_18
| spl13_167
| ~ spl13_6
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f636,f600,f370,f1419,f431]) ).
fof(f636,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ setIn(sK8,alive)
| ~ leq(sK8,X0)
| setIn(X0,alive) )
| ~ spl13_6
| ~ spl13_47 ),
inference(superposition,[],[f601,f372]) ).
fof(f1409,plain,
( ~ spl13_15
| spl13_166
| ~ spl13_5
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f635,f600,f365,f1407,f417]) ).
fof(f635,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(sK6,alive)
| ~ leq(sK6,X0)
| setIn(X0,alive) )
| ~ spl13_5
| ~ spl13_47 ),
inference(superposition,[],[f601,f367]) ).
fof(f1397,plain,
( ~ spl13_1
| spl13_165
| ~ spl13_10
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f634,f600,f392,f1395,f345]) ).
fof(f634,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(sK4,alive)
| ~ leq(sK4,X0)
| setIn(X0,alive) )
| ~ spl13_10
| ~ spl13_47 ),
inference(superposition,[],[f601,f394]) ).
fof(f1385,plain,
( ~ spl13_20
| spl13_164
| ~ spl13_11
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f633,f600,f397,f1383,f446]) ).
fof(f633,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(sK3,alive)
| ~ leq(sK3,X0)
| setIn(X0,alive) )
| ~ spl13_11
| ~ spl13_47 ),
inference(superposition,[],[f601,f399]) ).
fof(f1381,plain,
( spl13_20
| spl13_163
| ~ spl13_11
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f628,f600,f397,f1379,f446]) ).
fof(f628,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ setIn(X0,alive)
| ~ leq(X0,sK3)
| setIn(sK3,alive) )
| ~ spl13_11
| ~ spl13_47 ),
inference(superposition,[],[f601,f399]) ).
fof(f1377,plain,
( spl13_162
| ~ spl13_139
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1234,f1231,f1221,f1375]) ).
fof(f1375,plain,
( spl13_162
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_162])]) ).
fof(f1231,plain,
( spl13_140
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_140])]) ).
fof(f1234,plain,
( ! [X0] : ~ elem(m_Ack(sK3,X0),sK2)
| ~ spl13_139
| ~ spl13_140 ),
inference(resolution,[],[f1232,f1222]) ).
fof(f1232,plain,
( ! [X0] : ~ elem(m_Ack(sK3,X0),queue(host(sK7)))
| ~ spl13_140 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1372,plain,
( spl13_161
| ~ spl13_49
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1083,f1038,f608,f1370]) ).
fof(f1370,plain,
( spl13_161
<=> ! [X0] :
( ~ elem(m_Ack(index(elid,host(sK7)),X0),queue(host(sK5)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_161])]) ).
fof(f608,plain,
( spl13_49
<=> host(sK5) = host(index(elid,host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f1083,plain,
( ! [X0] :
( ~ elem(m_Ack(index(elid,host(sK7)),X0),queue(host(sK5)))
| setIn(X0,pids) )
| ~ spl13_49
| ~ spl13_121 ),
inference(superposition,[],[f1039,f610]) ).
fof(f610,plain,
( host(sK5) = host(index(elid,host(sK7)))
| ~ spl13_49 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f1368,plain,
( spl13_160
| ~ spl13_41
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f945,f909,f575,f1366]) ).
fof(f1366,plain,
( spl13_160
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_160])]) ).
fof(f945,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl13_41
| ~ spl13_106 ),
inference(resolution,[],[f910,f576]) ).
fof(f1364,plain,
( spl13_159
| ~ spl13_54
| ~ spl13_92 ),
inference(avatar_split_clause,[],[f866,f839,f664,f1362]) ).
fof(f1362,plain,
( spl13_159
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_159])]) ).
fof(f664,plain,
( spl13_54
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).
fof(f866,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl13_54
| ~ spl13_92 ),
inference(resolution,[],[f840,f665]) ).
fof(f665,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl13_54 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f1346,plain,
( spl13_158
| ~ spl13_24
| ~ spl13_130 ),
inference(avatar_split_clause,[],[f1153,f1116,f465,f1344]) ).
fof(f465,plain,
( spl13_24
<=> cons(m_Down(sK5),sK2) = queue(host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f1153,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK7)))
| m_Down(sK5) = X0
| elem(X0,sK2) )
| ~ spl13_24
| ~ spl13_130 ),
inference(superposition,[],[f1117,f467]) ).
fof(f467,plain,
( cons(m_Down(sK5),sK2) = queue(host(sK7))
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f1342,plain,
( spl13_157
| ~ spl13_24
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1130,f1107,f465,f1340]) ).
fof(f1130,plain,
( ! [X0] : cons(m_Down(sK5),snoc(sK2,X0)) = snoc(queue(host(sK7)),X0)
| ~ spl13_24
| ~ spl13_128 ),
inference(superposition,[],[f1108,f467]) ).
fof(f1302,plain,
( spl13_155
| ~ spl13_156
| ~ spl13_23
| ~ spl13_49 ),
inference(avatar_split_clause,[],[f626,f608,f461,f1299,f1295]) ).
fof(f1299,plain,
( spl13_156
<=> host(sK5) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_156])]) ).
fof(f461,plain,
( spl13_23
<=> ! [X8] :
( host(X8) != host(sK7)
| leq(X8,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f626,plain,
( host(sK5) != host(sK7)
| leq(index(elid,host(sK7)),sK3)
| ~ spl13_23
| ~ spl13_49 ),
inference(superposition,[],[f462,f610]) ).
fof(f462,plain,
( ! [X8] :
( host(X8) != host(sK7)
| leq(X8,sK3) )
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f1293,plain,
( ~ spl13_154
| ~ spl13_88
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1227,f1221,f823,f1290]) ).
fof(f1290,plain,
( spl13_154
<=> elem(m_Down(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_154])]) ).
fof(f1227,plain,
( ~ elem(m_Down(sK7),sK2)
| ~ spl13_88
| ~ spl13_139 ),
inference(resolution,[],[f1222,f824]) ).
fof(f1288,plain,
( spl13_153
| ~ spl13_6
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f505,f491,f370,f1286]) ).
fof(f1286,plain,
( spl13_153
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_153])]) ).
fof(f491,plain,
( spl13_27
<=> ! [X27,X26] :
( host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f505,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK8),queue(host(X0))) )
| ~ spl13_6
| ~ spl13_27 ),
inference(superposition,[],[f492,f372]) ).
fof(f492,plain,
( ! [X26,X27] :
( host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26))) )
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f1284,plain,
( spl13_152
| ~ spl13_5
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f504,f491,f365,f1282]) ).
fof(f1282,plain,
( spl13_152
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_152])]) ).
fof(f504,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK6),queue(host(X0))) )
| ~ spl13_5
| ~ spl13_27 ),
inference(superposition,[],[f492,f367]) ).
fof(f1280,plain,
( spl13_151
| ~ spl13_10
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f503,f491,f392,f1278]) ).
fof(f1278,plain,
( spl13_151
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_151])]) ).
fof(f503,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl13_10
| ~ spl13_27 ),
inference(superposition,[],[f492,f394]) ).
fof(f1276,plain,
( spl13_150
| ~ spl13_11
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f502,f491,f397,f1274]) ).
fof(f1274,plain,
( spl13_150
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_150])]) ).
fof(f502,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(sK3),queue(host(X0))) )
| ~ spl13_11
| ~ spl13_27 ),
inference(superposition,[],[f492,f399]) ).
fof(f1270,plain,
( spl13_149
| ~ spl13_6
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1087,f1038,f370,f1268]) ).
fof(f1268,plain,
( spl13_149
<=> ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK9)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_149])]) ).
fof(f1087,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK9)))
| setIn(X0,pids) )
| ~ spl13_6
| ~ spl13_121 ),
inference(superposition,[],[f1039,f372]) ).
fof(f1266,plain,
( spl13_148
| ~ spl13_5
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1086,f1038,f365,f1264]) ).
fof(f1264,plain,
( spl13_148
<=> ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK7)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_148])]) ).
fof(f1086,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK7)))
| setIn(X0,pids) )
| ~ spl13_5
| ~ spl13_121 ),
inference(superposition,[],[f1039,f367]) ).
fof(f1262,plain,
( spl13_147
| ~ spl13_10
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1085,f1038,f392,f1260]) ).
fof(f1085,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK7)))
| setIn(X0,pids) )
| ~ spl13_10
| ~ spl13_121 ),
inference(superposition,[],[f1039,f394]) ).
fof(f1258,plain,
( spl13_145
| spl13_146
| ~ spl13_6
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1082,f1034,f370,f1256,f1252]) ).
fof(f1252,plain,
( spl13_145
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_145])]) ).
fof(f1256,plain,
( spl13_146
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),queue(host(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_146])]) ).
fof(f1082,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(host(sK9)))
| setIn(sK8,pids) )
| ~ spl13_6
| ~ spl13_120 ),
inference(superposition,[],[f1035,f372]) ).
fof(f1250,plain,
( spl13_143
| spl13_144
| ~ spl13_5
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1081,f1034,f365,f1248,f1244]) ).
fof(f1081,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK7)))
| setIn(sK6,pids) )
| ~ spl13_5
| ~ spl13_120 ),
inference(superposition,[],[f1035,f367]) ).
fof(f1242,plain,
( spl13_141
| spl13_142
| ~ spl13_10
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1080,f1034,f392,f1240,f1236]) ).
fof(f1240,plain,
( spl13_142
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_142])]) ).
fof(f1080,plain,
( ! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(host(sK7)))
| setIn(sK4,pids) )
| ~ spl13_10
| ~ spl13_120 ),
inference(superposition,[],[f1035,f394]) ).
fof(f1233,plain,
( spl13_2
| spl13_140
| ~ spl13_11
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1079,f1034,f397,f1231,f350]) ).
fof(f1079,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK7)))
| setIn(sK3,pids) )
| ~ spl13_11
| ~ spl13_120 ),
inference(superposition,[],[f1035,f399]) ).
fof(f1223,plain,
( spl13_139
| ~ spl13_24
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f950,f921,f465,f1221]) ).
fof(f950,plain,
( ! [X0] :
( elem(X0,queue(host(sK7)))
| ~ elem(X0,sK2) )
| ~ spl13_24
| ~ spl13_109 ),
inference(superposition,[],[f922,f467]) ).
fof(f1217,plain,
( spl13_138
| ~ spl13_24
| ~ spl13_75 ),
inference(avatar_split_clause,[],[f813,f761,f465,f1214]) ).
fof(f1214,plain,
( spl13_138
<=> m_Down(sK5) = head(queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_138])]) ).
fof(f813,plain,
( m_Down(sK5) = head(queue(host(sK7)))
| ~ spl13_24
| ~ spl13_75 ),
inference(superposition,[],[f762,f467]) ).
fof(f1198,plain,
spl13_137,
inference(avatar_split_clause,[],[f281,f1196]) ).
fof(f281,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(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(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,[sK12])],[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(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(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(f1194,plain,
spl13_136,
inference(avatar_split_clause,[],[f272,f1192]) ).
fof(f272,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(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(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,[sK11])],[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(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(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(f1179,plain,
spl13_135,
inference(avatar_split_clause,[],[f304,f1177]) ).
fof(f304,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f1175,plain,
( ~ spl13_134
| ~ spl13_26
| ~ spl13_96 ),
inference(avatar_split_clause,[],[f1114,f862,f483,f1172]) ).
fof(f1172,plain,
( spl13_134
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).
fof(f862,plain,
( spl13_96
<=> elem(m_Down(sK5),queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f1114,plain,
( ~ setIn(sK5,alive)
| ~ spl13_26
| ~ spl13_96 ),
inference(resolution,[],[f864,f484]) ).
fof(f864,plain,
( elem(m_Down(sK5),queue(host(sK7)))
| ~ spl13_96 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f1166,plain,
spl13_133,
inference(avatar_split_clause,[],[f285,f1164]) ).
fof(f285,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1162,plain,
spl13_132,
inference(avatar_split_clause,[],[f276,f1160]) ).
fof(f276,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1158,plain,
spl13_131,
inference(avatar_split_clause,[],[f235,f1156]) ).
fof(f235,plain,
! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(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(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f153,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK10(X0)) = X0
| m_Halt(sK10(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/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(f1118,plain,
spl13_130,
inference(avatar_split_clause,[],[f308,f1116]) ).
fof(f308,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/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f1113,plain,
spl13_129,
inference(avatar_split_clause,[],[f305,f1111]) ).
fof(f305,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/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f1109,plain,
spl13_128,
inference(avatar_split_clause,[],[f301,f1107]) ).
fof(f301,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f1105,plain,
spl13_127,
inference(avatar_split_clause,[],[f290,f1103]) ).
fof(f290,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/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f1101,plain,
spl13_126,
inference(avatar_split_clause,[],[f257,f1099]) ).
fof(f1099,plain,
( spl13_126
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).
fof(f257,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_01) ).
fof(f1056,plain,
spl13_125,
inference(avatar_split_clause,[],[f312,f1054]) ).
fof(f1054,plain,
( spl13_125
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).
fof(f312,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/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f1052,plain,
spl13_124,
inference(avatar_split_clause,[],[f311,f1050]) ).
fof(f1050,plain,
( spl13_124
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).
fof(f311,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/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f1048,plain,
spl13_123,
inference(avatar_split_clause,[],[f286,f1046]) ).
fof(f286,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1044,plain,
spl13_122,
inference(avatar_split_clause,[],[f277,f1042]) ).
fof(f277,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1040,plain,
spl13_121,
inference(avatar_split_clause,[],[f259,f1038]) ).
fof(f259,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f1036,plain,
spl13_120,
inference(avatar_split_clause,[],[f258,f1034]) ).
fof(f258,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1032,plain,
spl13_119,
inference(avatar_split_clause,[],[f234,f1030]) ).
fof(f234,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/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(f1028,plain,
spl13_118,
inference(avatar_split_clause,[],[f233,f1026]) ).
fof(f233,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/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f996,plain,
spl13_117,
inference(avatar_split_clause,[],[f303,f994]) ).
fof(f303,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f992,plain,
spl13_116,
inference(avatar_split_clause,[],[f293,f990]) ).
fof(f293,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/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f988,plain,
spl13_115,
inference(avatar_split_clause,[],[f289,f986]) ).
fof(f289,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/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(f984,plain,
spl13_114,
inference(avatar_split_clause,[],[f280,f982]) ).
fof(f280,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/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(f969,plain,
spl13_113,
inference(avatar_split_clause,[],[f189,f967]) ).
fof(f189,plain,
! [X10,X11,X9,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X10) != host(X9)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( setIn(host(sK7),index(down,host(sK8)))
& elem(m_Down(sK9),sK2)
& host(sK8) = host(sK9)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) )
& host(sK4) != host(sK8)
& host(sK3) != host(sK8)
& host(sK4) = host(sK6)
& s(zero) != host(sK3)
& host(sK4) = host(sK3)
& ~ setIn(sK3,pids)
& ! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK4) )
& ( ( host(sK5) = host(index(elid,host(sK4)))
& wait = index(status,host(sK4)) )
| ( norm = index(status,host(sK4))
& host(sK5) = index(ldr,host(sK4)) ) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X10) != host(X9)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| X17 = X18 )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| host(X19) != host(X20)
| ~ leq(X20,X19)
| setIn(X19,alive) )
& ! [X21,X22,X23] :
( ~ leq(host(X21),host(X23))
| ~ elem(m_Ack(X23,X21),queue(host(X22))) )
& ! [X24,X25] :
( ~ leq(host(X24),host(X25))
| ~ elem(m_Halt(X25),queue(host(X24))) )
& ! [X26,X27] :
( host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26))) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X29),queue(host(X28))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f146,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( setIn(host(X5),index(down,host(X6)))
& elem(m_Down(X7),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X2 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X2 != X4 ) ) )
& host(X2) != host(X6)
& host(X1) != host(X6) )
& host(X2) = host(X4) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X2) != host(X8) )
& ( ( 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)
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X10) != host(X9)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| X17 = X18 )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| host(X19) != host(X20)
| ~ leq(X20,X19)
| setIn(X19,alive) )
& ! [X21,X22,X23] :
( ~ leq(host(X21),host(X23))
| ~ elem(m_Ack(X23,X21),queue(host(X22))) )
& ! [X24,X25] :
( ~ leq(host(X24),host(X25))
| ~ elem(m_Halt(X25),queue(host(X24))) )
& ! [X26,X27] :
( host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26))) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X29),queue(host(X28))) ) )
=> ( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( setIn(host(X5),index(down,host(X6)))
& elem(m_Down(X7),sK2)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = X4
| ( setIn(X4,alive)
& sK4 != X4 ) ) )
& host(X6) != host(sK4)
& host(X6) != host(sK3) )
& host(X4) = host(sK4) )
& s(zero) != host(sK3)
& host(sK4) = host(sK3)
& ~ setIn(sK3,pids)
& ! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK4) )
& ( ( host(sK5) = host(index(elid,host(sK4)))
& wait = index(status,host(sK4)) )
| ( norm = index(status,host(sK4))
& host(sK5) = index(ldr,host(sK4)) ) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK2)
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X10) != host(X9)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| X17 = X18 )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| host(X19) != host(X20)
| ~ leq(X20,X19)
| setIn(X19,alive) )
& ! [X21,X22,X23] :
( ~ leq(host(X21),host(X23))
| ~ elem(m_Ack(X23,X21),queue(host(X22))) )
& ! [X24,X25] :
( ~ leq(host(X24),host(X25))
| ~ elem(m_Halt(X25),queue(host(X24))) )
& ! [X26,X27] :
( host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26))) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X29),queue(host(X28))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( setIn(host(X5),index(down,host(X6)))
& elem(m_Down(X7),sK2)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = X4
| ( setIn(X4,alive)
& sK4 != X4 ) ) )
& host(X6) != host(sK4)
& host(X6) != host(sK3) )
& host(X4) = host(sK4) )
=> ( ? [X6,X5] :
( ? [X7] :
( setIn(host(X5),index(down,host(X6)))
& elem(m_Down(X7),sK2)
& host(X6) = host(X7)
& host(X5) = host(sK6)
& host(X6) != host(sK6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
& host(X6) != host(sK4)
& host(X6) != host(sK3) )
& host(sK4) = host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X6,X5] :
( ? [X7] :
( setIn(host(X5),index(down,host(X6)))
& elem(m_Down(X7),sK2)
& host(X6) = host(X7)
& host(X5) = host(sK6)
& host(X6) != host(sK6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK4 != X6 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
& host(X6) != host(sK4)
& host(X6) != host(sK3) )
=> ( ? [X7] :
( setIn(host(sK7),index(down,host(sK8)))
& elem(m_Down(X7),sK2)
& host(X7) = host(sK8)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
& host(sK4) != host(sK8)
& host(sK3) != host(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X7] :
( setIn(host(sK7),index(down,host(sK8)))
& elem(m_Down(X7),sK2)
& host(X7) = host(sK8)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) )
=> ( setIn(host(sK7),index(down,host(sK8)))
& elem(m_Down(sK9),sK2)
& host(sK8) = host(sK9)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK4 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK4 != sK6 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( setIn(host(X5),index(down,host(X6)))
& elem(m_Down(X7),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X2 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X2 != X4 ) ) )
& host(X2) != host(X6)
& host(X1) != host(X6) )
& host(X2) = host(X4) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X2) != host(X8) )
& ( ( 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)
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X10) != host(X9)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| X17 = X18 )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| host(X19) != host(X20)
| ~ leq(X20,X19)
| setIn(X19,alive) )
& ! [X21,X22,X23] :
( ~ leq(host(X21),host(X23))
| ~ elem(m_Ack(X23,X21),queue(host(X22))) )
& ! [X24,X25] :
( ~ leq(host(X24),host(X25))
| ~ elem(m_Halt(X25),queue(host(X24))) )
& ! [X26,X27] :
( host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26))) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X29),queue(host(X28))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X26] :
( ? [X27,X28] :
( ? [X29] :
( setIn(host(X27),index(down,host(X28)))
& elem(m_Down(X29),X0)
& host(X28) = host(X29)
& host(X26) = host(X27)
& host(X26) != host(X28)
& ( X1 = X28
| ( setIn(X28,alive)
& X2 != X28 ) )
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) ) )
& host(X2) != host(X28)
& host(X1) != host(X28) )
& host(X2) = host(X26) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X25] :
( leq(X25,X1)
| host(X2) != host(X25) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ setIn(host(X5),index(down,host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X11) != host(X10)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X10) = host(X8) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X26] :
( ? [X27,X28] :
( ? [X29] :
( setIn(host(X27),index(down,host(X28)))
& elem(m_Down(X29),X0)
& host(X28) = host(X29)
& host(X26) = host(X27)
& host(X26) != host(X28)
& ( X1 = X28
| ( setIn(X28,alive)
& X2 != X28 ) )
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) ) )
& host(X2) != host(X28)
& host(X1) != host(X28) )
& host(X2) = host(X26) )
& s(zero) != host(X1)
& host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X25] :
( leq(X25,X1)
| host(X2) != host(X25) )
& ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ setIn(host(X5),index(down,host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X11) != host(X10)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X10) = host(X8) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = host(X7)
& host(X4) = host(X5)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X4) != host(X6) )
=> ~ ( setIn(host(X5),index(down,host(X6)))
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X8,X9,X10,X11] :
( ( host(X11) = host(X10)
& host(X8) = host(X9)
& setIn(X10,alive)
& setIn(X8,alive)
& host(X10) != host(X8) )
=> ~ ( elem(m_Down(X9),queue(host(X10)))
& elem(m_Down(X11),queue(host(X8))) ) )
& ! [X12,X13] :
( ( host(X13) = host(X12)
& X12 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X12,alive) ) )
& ! [X14,X15] :
( ( host(X14) = host(X15)
& leq(X15,X14)
& ~ setIn(X14,alive) )
=> ~ setIn(X15,alive) )
& ! [X16,X17,X18] :
( elem(m_Ack(X18,X16),queue(host(X17)))
=> ~ leq(host(X16),host(X18)) )
& ! [X19,X20] :
( elem(m_Halt(X20),queue(host(X19)))
=> ~ leq(host(X19),host(X20)) )
& ! [X21,X22] :
( elem(m_Down(X22),queue(host(X21)))
=> host(X21) != host(X22) )
& ! [X23,X24] :
( elem(m_Down(X24),queue(host(X23)))
=> ~ setIn(X24,alive) ) )
=> ( 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)) ) )
=> ( ( host(X2) = host(X1)
& ~ setIn(X1,pids)
& ! [X25] :
( host(X2) = host(X25)
=> leq(X25,X1) ) )
=> ( s(zero) != host(X1)
=> ! [X26] :
( host(X2) = host(X26)
=> ! [X27,X28] :
( host(X1) != host(X28)
=> ( host(X2) != host(X28)
=> ! [X29] :
( ( host(X28) = host(X29)
& host(X26) = host(X27)
& host(X26) != host(X28)
& ( X1 = X28
| ( setIn(X28,alive)
& X2 != X28 ) )
& ( X1 = X26
| ( setIn(X26,alive)
& X2 != X26 ) ) )
=> ~ ( setIn(host(X27),index(down,host(X28)))
& elem(m_Down(X29),X0) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) ) )
=> ( 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)) ) )
=> ( ( host(X4) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X4) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) != host(X12)
=> ! [X6] :
( host(X4) = host(X6)
=> ! [X16,X17] :
( host(X12) != host(X17)
=> ( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X4 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X4 != X6 ) ) )
=> ~ ( setIn(host(X16),index(down,host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) ) )
=> ( 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)) ) )
=> ( ( host(X4) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X4) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) != host(X12)
=> ! [X6] :
( host(X4) = host(X6)
=> ! [X16,X17] :
( host(X12) != host(X17)
=> ( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X4 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X4 != X6 ) ) )
=> ~ ( setIn(host(X16),index(down,host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f954,plain,
spl13_112,
inference(avatar_split_clause,[],[f188,f952]) ).
fof(f188,plain,
! [X16,X14,X15,X13] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) ),
inference(cnf_transformation,[],[f151]) ).
fof(f936,plain,
( spl13_110
| ~ spl13_111
| ~ spl13_24
| ~ spl13_81 ),
inference(avatar_split_clause,[],[f821,f786,f465,f933,f929]) ).
fof(f929,plain,
( spl13_110
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).
fof(f933,plain,
( spl13_111
<=> ordered(queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).
fof(f821,plain,
( ~ ordered(queue(host(sK7)))
| ordered(sK2)
| ~ spl13_24
| ~ spl13_81 ),
inference(superposition,[],[f787,f467]) ).
fof(f923,plain,
spl13_109,
inference(avatar_split_clause,[],[f310,f921]) ).
fof(f310,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f919,plain,
spl13_108,
inference(avatar_split_clause,[],[f307,f917]) ).
fof(f307,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f915,plain,
spl13_107,
inference(avatar_split_clause,[],[f302,f913]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(f911,plain,
spl13_106,
inference(avatar_split_clause,[],[f282,f909]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f907,plain,
spl13_105,
inference(avatar_split_clause,[],[f273,f905]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f903,plain,
spl13_104,
inference(avatar_split_clause,[],[f271,f901]) ).
fof(f271,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/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f899,plain,
( spl13_103
| ~ spl13_24
| ~ spl13_76 ),
inference(avatar_split_clause,[],[f814,f765,f465,f896]) ).
fof(f896,plain,
( spl13_103
<=> sK2 = tail(queue(host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).
fof(f814,plain,
( sK2 = tail(queue(host(sK7)))
| ~ spl13_24
| ~ spl13_76 ),
inference(superposition,[],[f766,f467]) ).
fof(f894,plain,
spl13_102,
inference(avatar_split_clause,[],[f270,f892]) ).
fof(f270,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f890,plain,
spl13_101,
inference(avatar_split_clause,[],[f268,f888]) ).
fof(f268,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/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f886,plain,
spl13_100,
inference(avatar_split_clause,[],[f266,f884]) ).
fof(f884,plain,
( spl13_100
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f266,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/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f882,plain,
spl13_99,
inference(avatar_split_clause,[],[f264,f880]) ).
fof(f880,plain,
( spl13_99
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f264,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/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f878,plain,
spl13_98,
inference(avatar_split_clause,[],[f262,f876]) ).
fof(f876,plain,
( spl13_98
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).
fof(f262,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/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f874,plain,
spl13_97,
inference(avatar_split_clause,[],[f260,f872]) ).
fof(f872,plain,
( spl13_97
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).
fof(f260,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/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f865,plain,
( spl13_96
| ~ spl13_24
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f759,f745,f465,f862]) ).
fof(f759,plain,
( elem(m_Down(sK5),queue(host(sK7)))
| ~ spl13_24
| ~ spl13_73 ),
inference(superposition,[],[f746,f467]) ).
fof(f853,plain,
spl13_95,
inference(avatar_split_clause,[],[f292,f851]) ).
fof(f292,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f849,plain,
spl13_94,
inference(avatar_split_clause,[],[f288,f847]) ).
fof(f288,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f845,plain,
spl13_93,
inference(avatar_split_clause,[],[f284,f843]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f841,plain,
spl13_92,
inference(avatar_split_clause,[],[f279,f839]) ).
fof(f279,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f837,plain,
spl13_91,
inference(avatar_split_clause,[],[f275,f835]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f833,plain,
spl13_90,
inference(avatar_split_clause,[],[f255,f831]) ).
fof(f255,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f829,plain,
spl13_89,
inference(avatar_split_clause,[],[f230,f827]) ).
fof(f230,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f825,plain,
( spl13_88
| ~ spl13_27 ),
inference(avatar_split_clause,[],[f506,f491,f823]) ).
fof(f506,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_27 ),
inference(equality_resolution,[],[f492]) ).
fof(f812,plain,
spl13_87,
inference(avatar_split_clause,[],[f300,f810]) ).
fof(f810,plain,
( spl13_87
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f300,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f808,plain,
spl13_86,
inference(avatar_split_clause,[],[f299,f806]) ).
fof(f806,plain,
( spl13_86
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).
fof(f299,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f804,plain,
spl13_85,
inference(avatar_split_clause,[],[f298,f802]) ).
fof(f802,plain,
( spl13_85
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).
fof(f298,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f800,plain,
spl13_84,
inference(avatar_split_clause,[],[f297,f798]) ).
fof(f798,plain,
( spl13_84
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).
fof(f297,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f796,plain,
spl13_83,
inference(avatar_split_clause,[],[f296,f794]) ).
fof(f794,plain,
( spl13_83
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).
fof(f296,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f792,plain,
spl13_82,
inference(avatar_split_clause,[],[f287,f790]) ).
fof(f287,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f788,plain,
spl13_81,
inference(avatar_split_clause,[],[f278,f786]) ).
fof(f278,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f784,plain,
spl13_80,
inference(avatar_split_clause,[],[f254,f782]) ).
fof(f254,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f780,plain,
( ~ spl13_79
| ~ spl13_24
| ~ spl13_69 ),
inference(avatar_split_clause,[],[f758,f729,f465,f777]) ).
fof(f729,plain,
( spl13_69
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f758,plain,
( q_nil != queue(host(sK7))
| ~ spl13_24
| ~ spl13_69 ),
inference(superposition,[],[f730,f467]) ).
fof(f730,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl13_69 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f775,plain,
spl13_78,
inference(avatar_split_clause,[],[f253,f773]) ).
fof(f253,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
fof(f771,plain,
spl13_77,
inference(avatar_split_clause,[],[f252,f769]) ).
fof(f252,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f767,plain,
spl13_76,
inference(avatar_split_clause,[],[f251,f765]) ).
fof(f251,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f763,plain,
spl13_75,
inference(avatar_split_clause,[],[f250,f761]) ).
fof(f250,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(f757,plain,
( ~ spl13_74
| spl13_4
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f406,f397,f360,f754]) ).
fof(f754,plain,
( spl13_74
<=> s(zero) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f406,plain,
( s(zero) != host(sK7)
| spl13_4
| ~ spl13_11 ),
inference(superposition,[],[f362,f399]) ).
fof(f747,plain,
spl13_73,
inference(avatar_split_clause,[],[f325,f745]) ).
fof(f325,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f309]) ).
fof(f309,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f743,plain,
spl13_72,
inference(avatar_split_clause,[],[f324,f741]) ).
fof(f324,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f306]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f179]) ).
fof(f739,plain,
spl13_71,
inference(avatar_split_clause,[],[f283,f737]) ).
fof(f283,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f735,plain,
spl13_70,
inference(avatar_split_clause,[],[f274,f733]) ).
fof(f274,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f731,plain,
spl13_69,
inference(avatar_split_clause,[],[f249,f729]) ).
fof(f249,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/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f727,plain,
spl13_68,
inference(avatar_split_clause,[],[f248,f725]) ).
fof(f725,plain,
( spl13_68
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f248,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/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f723,plain,
spl13_67,
inference(avatar_split_clause,[],[f247,f721]) ).
fof(f721,plain,
( spl13_67
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).
fof(f247,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f719,plain,
spl13_66,
inference(avatar_split_clause,[],[f246,f717]) ).
fof(f717,plain,
( spl13_66
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).
fof(f246,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f715,plain,
spl13_65,
inference(avatar_split_clause,[],[f245,f713]) ).
fof(f713,plain,
( spl13_65
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).
fof(f245,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f711,plain,
spl13_64,
inference(avatar_split_clause,[],[f244,f709]) ).
fof(f244,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f707,plain,
spl13_63,
inference(avatar_split_clause,[],[f243,f705]) ).
fof(f705,plain,
( spl13_63
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f243,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f703,plain,
spl13_62,
inference(avatar_split_clause,[],[f242,f701]) ).
fof(f701,plain,
( spl13_62
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f242,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f699,plain,
spl13_61,
inference(avatar_split_clause,[],[f241,f697]) ).
fof(f697,plain,
( spl13_61
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f241,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f695,plain,
spl13_60,
inference(avatar_split_clause,[],[f240,f693]) ).
fof(f693,plain,
( spl13_60
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f240,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f691,plain,
spl13_59,
inference(avatar_split_clause,[],[f239,f689]) ).
fof(f689,plain,
( spl13_59
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).
fof(f239,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f687,plain,
spl13_58,
inference(avatar_split_clause,[],[f238,f685]) ).
fof(f685,plain,
( spl13_58
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f238,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f683,plain,
spl13_57,
inference(avatar_split_clause,[],[f229,f681]) ).
fof(f229,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f679,plain,
spl13_56,
inference(avatar_split_clause,[],[f228,f677]) ).
fof(f228,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f675,plain,
spl13_55,
inference(avatar_split_clause,[],[f227,f673]) ).
fof(f227,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f666,plain,
spl13_54,
inference(avatar_split_clause,[],[f343,f664]) ).
fof(f343,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f232,f230]) ).
fof(f232,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f662,plain,
spl13_53,
inference(avatar_split_clause,[],[f226,f660]) ).
fof(f226,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f658,plain,
spl13_52,
inference(avatar_split_clause,[],[f225,f656]) ).
fof(f225,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f654,plain,
spl13_51,
inference(avatar_split_clause,[],[f221,f651]) ).
fof(f221,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
fof(f619,plain,
( spl13_30
| spl13_50 ),
inference(avatar_split_clause,[],[f340,f616,f516]) ).
fof(f516,plain,
( spl13_30
<=> wait = index(status,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f616,plain,
( spl13_50
<=> host(sK5) = index(ldr,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).
fof(f340,plain,
( host(sK5) = index(ldr,host(sK7))
| wait = index(status,host(sK7)) ),
inference(forward_demodulation,[],[f339,f330]) ).
fof(f330,plain,
host(sK4) = host(sK7),
inference(forward_demodulation,[],[f201,f209]) ).
fof(f209,plain,
host(sK6) = host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f201,plain,
host(sK4) = host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f339,plain,
( wait = index(status,host(sK7))
| host(sK5) = index(ldr,host(sK4)) ),
inference(forward_demodulation,[],[f193,f330]) ).
fof(f193,plain,
( wait = index(status,host(sK4))
| host(sK5) = index(ldr,host(sK4)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f613,plain,
( spl13_38
| ~ spl13_30
| ~ spl13_31 ),
inference(avatar_split_clause,[],[f612,f520,f516,f560]) ).
fof(f560,plain,
( spl13_38
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f520,plain,
( spl13_31
<=> norm = index(status,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f612,plain,
( wait = norm
| ~ spl13_30
| ~ spl13_31 ),
inference(forward_demodulation,[],[f522,f518]) ).
fof(f518,plain,
( wait = index(status,host(sK7))
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f522,plain,
( norm = index(status,host(sK7))
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f611,plain,
( spl13_49
| spl13_31 ),
inference(avatar_split_clause,[],[f334,f520,f608]) ).
fof(f334,plain,
( norm = index(status,host(sK7))
| host(sK5) = host(index(elid,host(sK7))) ),
inference(forward_demodulation,[],[f333,f330]) ).
fof(f333,plain,
( host(sK5) = host(index(elid,host(sK7)))
| norm = index(status,host(sK4)) ),
inference(forward_demodulation,[],[f196,f330]) ).
fof(f196,plain,
( host(sK5) = host(index(elid,host(sK4)))
| norm = index(status,host(sK4)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f606,plain,
spl13_48,
inference(avatar_split_clause,[],[f187,f604]) ).
fof(f187,plain,
! [X18,X17] :
( ~ setIn(X18,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X18)
| X17 = X18 ),
inference(cnf_transformation,[],[f151]) ).
fof(f602,plain,
spl13_47,
inference(avatar_split_clause,[],[f186,f600]) ).
fof(f186,plain,
! [X19,X20] :
( ~ setIn(X20,alive)
| host(X19) != host(X20)
| ~ leq(X20,X19)
| setIn(X19,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f598,plain,
( spl13_46
| ~ spl13_10
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f475,f461,f392,f595]) ).
fof(f475,plain,
( leq(sK4,sK3)
| ~ spl13_10
| ~ spl13_23 ),
inference(trivial_inequality_removal,[],[f470]) ).
fof(f470,plain,
( host(sK7) != host(sK7)
| leq(sK4,sK3)
| ~ spl13_10
| ~ spl13_23 ),
inference(superposition,[],[f462,f394]) ).
fof(f593,plain,
spl13_45,
inference(avatar_split_clause,[],[f314,f591]) ).
fof(f314,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f589,plain,
spl13_44,
inference(avatar_split_clause,[],[f313,f587]) ).
fof(f313,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f585,plain,
spl13_43,
inference(avatar_split_clause,[],[f224,f583]) ).
fof(f224,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f581,plain,
spl13_42,
inference(avatar_split_clause,[],[f223,f579]) ).
fof(f579,plain,
( spl13_42
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f223,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f577,plain,
spl13_41,
inference(avatar_split_clause,[],[f222,f575]) ).
fof(f222,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f573,plain,
( spl13_40
| ~ spl13_5
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f474,f461,f365,f570]) ).
fof(f474,plain,
( leq(sK6,sK3)
| ~ spl13_5
| ~ spl13_23 ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f471,plain,
( host(sK7) != host(sK7)
| leq(sK6,sK3)
| ~ spl13_5
| ~ spl13_23 ),
inference(superposition,[],[f462,f367]) ).
fof(f568,plain,
~ spl13_39,
inference(avatar_split_clause,[],[f220,f565]) ).
fof(f565,plain,
( spl13_39
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f220,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f563,plain,
~ spl13_38,
inference(avatar_split_clause,[],[f219,f560]) ).
fof(f219,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f558,plain,
~ spl13_37,
inference(avatar_split_clause,[],[f218,f555]) ).
fof(f555,plain,
( spl13_37
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f218,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
fof(f553,plain,
~ spl13_36,
inference(avatar_split_clause,[],[f217,f550]) ).
fof(f550,plain,
( spl13_36
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f217,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f548,plain,
~ spl13_35,
inference(avatar_split_clause,[],[f216,f545]) ).
fof(f545,plain,
( spl13_35
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f216,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
fof(f543,plain,
~ spl13_34,
inference(avatar_split_clause,[],[f215,f540]) ).
fof(f540,plain,
( spl13_34
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f215,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
fof(f538,plain,
~ spl13_33,
inference(avatar_split_clause,[],[f214,f535]) ).
fof(f535,plain,
( spl13_33
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f214,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).
fof(f528,plain,
( spl13_32
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f473,f461,f525]) ).
fof(f473,plain,
( leq(sK7,sK3)
| ~ spl13_23 ),
inference(equality_resolution,[],[f462]) ).
fof(f523,plain,
( spl13_30
| spl13_31 ),
inference(avatar_split_clause,[],[f338,f520,f516]) ).
fof(f338,plain,
( norm = index(status,host(sK7))
| wait = index(status,host(sK7)) ),
inference(forward_demodulation,[],[f337,f330]) ).
fof(f337,plain,
( wait = index(status,host(sK7))
| norm = index(status,host(sK4)) ),
inference(forward_demodulation,[],[f194,f330]) ).
fof(f194,plain,
( wait = index(status,host(sK4))
| norm = index(status,host(sK4)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f514,plain,
spl13_29,
inference(avatar_split_clause,[],[f185,f512]) ).
fof(f185,plain,
! [X21,X22,X23] :
( ~ leq(host(X21),host(X23))
| ~ elem(m_Ack(X23,X21),queue(host(X22))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f497,plain,
spl13_28,
inference(avatar_split_clause,[],[f184,f495]) ).
fof(f184,plain,
! [X24,X25] :
( ~ leq(host(X24),host(X25))
| ~ elem(m_Halt(X25),queue(host(X24))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f493,plain,
spl13_27,
inference(avatar_split_clause,[],[f183,f491]) ).
fof(f183,plain,
! [X26,X27] :
( host(X26) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f485,plain,
spl13_26,
inference(avatar_split_clause,[],[f182,f483]) ).
fof(f182,plain,
! [X28,X29] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X29),queue(host(X28))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f481,plain,
spl13_25,
inference(avatar_split_clause,[],[f213,f478]) ).
fof(f478,plain,
( spl13_25
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f213,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f468,plain,
spl13_24,
inference(avatar_split_clause,[],[f342,f465]) ).
fof(f342,plain,
cons(m_Down(sK5),sK2) = queue(host(sK7)),
inference(forward_demodulation,[],[f190,f330]) ).
fof(f190,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f463,plain,
spl13_23,
inference(avatar_split_clause,[],[f332,f461]) ).
fof(f332,plain,
! [X8] :
( host(X8) != host(sK7)
| leq(X8,sK3) ),
inference(forward_demodulation,[],[f197,f330]) ).
fof(f197,plain,
! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK4) ),
inference(cnf_transformation,[],[f151]) ).
fof(f459,plain,
( spl13_22
| ~ spl13_6
| ~ spl13_19 ),
inference(avatar_split_clause,[],[f443,f439,f370,f456]) ).
fof(f439,plain,
( spl13_19
<=> setIn(host(sK7),index(down,host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f443,plain,
( setIn(host(sK7),index(down,host(sK9)))
| ~ spl13_6
| ~ spl13_19 ),
inference(forward_demodulation,[],[f441,f372]) ).
fof(f441,plain,
( setIn(host(sK7),index(down,host(sK8)))
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f454,plain,
( spl13_21
| ~ spl13_6
| ~ spl13_11
| ~ spl13_17
| ~ spl13_19 ),
inference(avatar_split_clause,[],[f444,f439,f426,f397,f370,f451]) ).
fof(f451,plain,
( spl13_21
<=> setIn(host(sK7),index(down,host(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f444,plain,
( setIn(host(sK7),index(down,host(sK7)))
| ~ spl13_6
| ~ spl13_11
| ~ spl13_17
| ~ spl13_19 ),
inference(forward_demodulation,[],[f443,f436]) ).
fof(f449,plain,
( ~ spl13_20
| ~ spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f437,f431,f426,f446]) ).
fof(f437,plain,
( ~ setIn(sK3,alive)
| ~ spl13_17
| spl13_18 ),
inference(superposition,[],[f432,f428]) ).
fof(f432,plain,
( ~ setIn(sK8,alive)
| spl13_18 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f442,plain,
spl13_19,
inference(avatar_split_clause,[],[f212,f439]) ).
fof(f212,plain,
setIn(host(sK7),index(down,host(sK8))),
inference(cnf_transformation,[],[f151]) ).
fof(f434,plain,
( spl13_18
| spl13_17 ),
inference(avatar_split_clause,[],[f207,f426,f431]) ).
fof(f207,plain,
( sK3 = sK8
| setIn(sK8,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f429,plain,
( ~ spl13_16
| spl13_17 ),
inference(avatar_split_clause,[],[f206,f426,f422]) ).
fof(f206,plain,
( sK3 = sK8
| sK4 != sK8 ),
inference(cnf_transformation,[],[f151]) ).
fof(f420,plain,
( spl13_15
| spl13_14 ),
inference(avatar_split_clause,[],[f205,f412,f417]) ).
fof(f205,plain,
( sK3 = sK6
| setIn(sK6,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f415,plain,
( ~ spl13_13
| spl13_14 ),
inference(avatar_split_clause,[],[f204,f412,f408]) ).
fof(f204,plain,
( sK3 = sK6
| sK4 != sK6 ),
inference(cnf_transformation,[],[f151]) ).
fof(f405,plain,
~ spl13_12,
inference(avatar_split_clause,[],[f341,f402]) ).
fof(f402,plain,
( spl13_12
<=> leq(host(sK7),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f341,plain,
~ leq(host(sK7),host(sK5)),
inference(forward_demodulation,[],[f192,f330]) ).
fof(f192,plain,
~ leq(host(sK4),host(sK5)),
inference(cnf_transformation,[],[f151]) ).
fof(f400,plain,
spl13_11,
inference(avatar_split_clause,[],[f331,f397]) ).
fof(f331,plain,
host(sK3) = host(sK7),
inference(forward_demodulation,[],[f199,f330]) ).
fof(f199,plain,
host(sK4) = host(sK3),
inference(cnf_transformation,[],[f151]) ).
fof(f395,plain,
spl13_10,
inference(avatar_split_clause,[],[f330,f392]) ).
fof(f389,plain,
~ spl13_9,
inference(avatar_split_clause,[],[f329,f386]) ).
fof(f386,plain,
( spl13_9
<=> host(sK3) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f329,plain,
host(sK3) != host(sK9),
inference(forward_demodulation,[],[f202,f210]) ).
fof(f210,plain,
host(sK8) = host(sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f202,plain,
host(sK3) != host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f383,plain,
~ spl13_8,
inference(avatar_split_clause,[],[f328,f380]) ).
fof(f380,plain,
( spl13_8
<=> host(sK4) = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f328,plain,
host(sK4) != host(sK9),
inference(forward_demodulation,[],[f203,f210]) ).
fof(f203,plain,
host(sK4) != host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f378,plain,
~ spl13_7,
inference(avatar_split_clause,[],[f327,f375]) ).
fof(f327,plain,
host(sK7) != host(sK9),
inference(forward_demodulation,[],[f326,f209]) ).
fof(f326,plain,
host(sK6) != host(sK9),
inference(forward_demodulation,[],[f208,f210]) ).
fof(f208,plain,
host(sK6) != host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f373,plain,
spl13_6,
inference(avatar_split_clause,[],[f210,f370]) ).
fof(f368,plain,
spl13_5,
inference(avatar_split_clause,[],[f209,f365]) ).
fof(f363,plain,
~ spl13_4,
inference(avatar_split_clause,[],[f200,f360]) ).
fof(f200,plain,
s(zero) != host(sK3),
inference(cnf_transformation,[],[f151]) ).
fof(f358,plain,
spl13_3,
inference(avatar_split_clause,[],[f211,f355]) ).
fof(f211,plain,
elem(m_Down(sK9),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f353,plain,
~ spl13_2,
inference(avatar_split_clause,[],[f198,f350]) ).
fof(f198,plain,
~ setIn(sK3,pids),
inference(cnf_transformation,[],[f151]) ).
fof(f348,plain,
spl13_1,
inference(avatar_split_clause,[],[f191,f345]) ).
fof(f191,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV456+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:15:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (31187)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (31190)WARNING: value z3 for option sas not known
% 0.14/0.37 % (31188)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (31189)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (31190)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (31191)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (31192)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (31193)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (31194)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [4]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 TRYING [4]
% 0.20/0.40 Detected minimum model sizes of [4]
% 0.20/0.40 Detected maximum model sizes of [max]
% 0.20/0.40 TRYING [4]
% 0.20/0.42 TRYING [5]
% 0.20/0.50 TRYING [6]
% 1.39/0.55 TRYING [5]
% 1.39/0.58 TRYING [7]
% 2.45/0.70 % (31192)First to succeed.
% 2.45/0.72 % (31192)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31187"
% 2.45/0.72 % (31192)Refutation found. Thanks to Tanya!
% 2.45/0.72 % SZS status Theorem for theBenchmark
% 2.45/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.73 % (31192)------------------------------
% 2.45/0.73 % (31192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.45/0.73 % (31192)Termination reason: Refutation
% 2.45/0.73
% 2.45/0.73 % (31192)Memory used [KB]: 5535
% 2.45/0.73 % (31192)Time elapsed: 0.349 s
% 2.45/0.73 % (31192)Instructions burned: 921 (million)
% 2.45/0.73 % (31187)Success in time 0.37 s
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