TSTP Solution File: SWV460+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV460+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 : n025.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 10:58:43 EDT 2024
% Result : Theorem 8.03s 1.48s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 656
% Syntax : Number of formulae : 2307 ( 254 unt; 0 def)
% Number of atoms : 8283 (1421 equ)
% Maximal formula atoms : 144 ( 3 avg)
% Number of connectives : 10289 (4313 ~;4834 |; 435 &)
% ( 616 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 591 ( 589 usr; 583 prp; 0-2 aty)
% Number of functors : 41 ( 41 usr; 21 con; 0-2 aty)
% Number of variables : 3042 (3005 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18043,plain,
$false,
inference(avatar_sat_refutation,[],[f338,f343,f348,f353,f358,f363,f369,f374,f379,f384,f389,f394,f400,f405,f410,f414,f419,f425,f430,f435,f440,f445,f450,f455,f459,f463,f467,f471,f475,f479,f488,f497,f505,f509,f524,f528,f538,f542,f546,f550,f555,f559,f563,f567,f571,f575,f579,f583,f587,f592,f596,f600,f604,f608,f612,f616,f620,f624,f628,f632,f636,f642,f650,f654,f658,f662,f666,f670,f674,f678,f682,f686,f690,f695,f699,f719,f723,f732,f741,f745,f749,f753,f757,f761,f765,f779,f786,f790,f794,f813,f823,f827,f831,f835,f839,f843,f847,f851,f855,f859,f863,f872,f876,f880,f902,f906,f910,f914,f942,f946,f950,f954,f958,f962,f966,f970,f1005,f1009,f1015,f1019,f1023,f1058,f1062,f1067,f1071,f1079,f1090,f1094,f1112,f1121,f1125,f1132,f1139,f1143,f1148,f1166,f1170,f1174,f1179,f1191,f1198,f1206,f1213,f1222,f1229,f1233,f1242,f1251,f1257,f1261,f1265,f1272,f1278,f1287,f1291,f1295,f1299,f1303,f1307,f1313,f1355,f1364,f1373,f1377,f1381,f1385,f1389,f1412,f1427,f1444,f1448,f1452,f1456,f1460,f1467,f1471,f1475,f1479,f1528,f1555,f1559,f1563,f1567,f1571,f1575,f1579,f1587,f1591,f1595,f1662,f1666,f1670,f1704,f1708,f1712,f1716,f1759,f1763,f1767,f1771,f1775,f1848,f1852,f1883,f1887,f1891,f1896,f1962,f1966,f1972,f1976,f1980,f1984,f1988,f1992,f1996,f2000,f2004,f2018,f2037,f2063,f2068,f2072,f2076,f2081,f2114,f2128,f2132,f2136,f2140,f2171,f2176,f2184,f2190,f2194,f2198,f2223,f2229,f2242,f2246,f2250,f2254,f2316,f2321,f2331,f2350,f2354,f2358,f2362,f2376,f2386,f2390,f2394,f2410,f2414,f2442,f2448,f2469,f2492,f2497,f2504,f2509,f2589,f2596,f2606,f2616,f2620,f2624,f2628,f2632,f2636,f2640,f2686,f2792,f2796,f2800,f2804,f2809,f2813,f2817,f2821,f2825,f2997,f3001,f3005,f3009,f3014,f3018,f3022,f3026,f3030,f3034,f3038,f3341,f3345,f3349,f3353,f3357,f3361,f3365,f3369,f3374,f3546,f3550,f3555,f3559,f3563,f3567,f3571,f3575,f3579,f3583,f3587,f3591,f3595,f3600,f3604,f3608,f4039,f4126,f4130,f4134,f4138,f4143,f4147,f4151,f4155,f4159,f4163,f4167,f4171,f4175,f4179,f4183,f4188,f4192,f4196,f4200,f4204,f4208,f4572,f4576,f4580,f4584,f4588,f4592,f4596,f4614,f4618,f4622,f4626,f4630,f4634,f4638,f4642,f4646,f4650,f4660,f5298,f5303,f5307,f5311,f5315,f5319,f5323,f5327,f5331,f5335,f5339,f5343,f5352,f5356,f5360,f5364,f5368,f5372,f5993,f5997,f6001,f6005,f6009,f6013,f6017,f6021,f6025,f6356,f6357,f6362,f6366,f6436,f6440,f6444,f6448,f6488,f6621,f6625,f6629,f6633,f6637,f6641,f6645,f6649,f6654,f6658,f6662,f6901,f6921,f6925,f6929,f6933,f7115,f7119,f7123,f7127,f7132,f7137,f7200,f7225,f7229,f7233,f7237,f7241,f7245,f7249,f7253,f7257,f7261,f7265,f7270,f7454,f7458,f7502,f7506,f7510,f7514,f7518,f7522,f7539,f7543,f8088,f8092,f8140,f8144,f8238,f8242,f8246,f8250,f8254,f8258,f8262,f8266,f8792,f8796,f8800,f8804,f9121,f9125,f9130,f9260,f9265,f9270,f9276,f9282,f9288,f9293,f9299,f9304,f9313,f9318,f9323,f9327,f9353,f9358,f9471,f9582,f9588,f9594,f9599,f9604,f9609,f9614,f9619,f9627,f9631,f9635,f9639,f9644,f9658,f9663,f9788,f9794,f9799,f9805,f9810,f9815,f9820,f9824,f9828,f9832,f9836,f9840,f9845,f9849,f9853,f9857,f9862,f9905,f10018,f10233,f10239,f10244,f10249,f10253,f10257,f10261,f10265,f10269,f10273,f10277,f10281,f10285,f10289,f10298,f10381,f11333,f11344,f11435,f11598,f11602,f11606,f11610,f11614,f11618,f11622,f11626,f11630,f11634,f11638,f11642,f11646,f11650,f11654,f11658,f11662,f11967,f12146,f12151,f12155,f12161,f12167,f14035,f14039,f14043,f14047,f14051,f14055,f14063,f14067,f14075,f14082,f14083,f14087,f14089,f14314,f14316,f14317,f14319,f14390,f14430,f14469,f14483,f14503,f14513,f14517,f14521,f14535,f14647,f14819,f14822,f14825,f14826,f14843,f14856,f14857,f14859,f14869,f14873,f14909,f14913,f16572,f17201,f17602,f17603,f17608,f17879,f17880,f17932,f17990,f18014,f18019,f18042]) ).
fof(f18042,plain,
( ~ spl10_39
| ~ spl10_581 ),
inference(avatar_contradiction_clause,[],[f18023]) ).
fof(f18023,plain,
( $false
| ~ spl10_39
| ~ spl10_581 ),
inference(resolution,[],[f18013,f541]) ).
fof(f541,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl10_39 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl10_39
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_39])]) ).
fof(f18013,plain,
( leq(s(host(sK5)),host(sK5))
| ~ spl10_581 ),
inference(avatar_component_clause,[],[f18011]) ).
fof(f18011,plain,
( spl10_581
<=> leq(s(host(sK5)),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_581])]) ).
fof(f18019,plain,
( spl10_582
| ~ spl10_267
| ~ spl10_269
| ~ spl10_288 ),
inference(avatar_split_clause,[],[f17971,f2823,f2586,f2501,f18016]) ).
fof(f18016,plain,
( spl10_582
<=> leq(s(host(sK5)),s(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_582])]) ).
fof(f2501,plain,
( spl10_267
<=> s(host(sK5)) = index(pendack,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_267])]) ).
fof(f2586,plain,
( spl10_269
<=> leq(index(pendack,host(sK4)),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_269])]) ).
fof(f2823,plain,
( spl10_288
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_288])]) ).
fof(f17971,plain,
( leq(s(host(sK5)),s(nbr_proc))
| ~ spl10_267
| ~ spl10_269
| ~ spl10_288 ),
inference(forward_demodulation,[],[f17953,f2502]) ).
fof(f2502,plain,
( s(host(sK5)) = index(pendack,host(sK4))
| ~ spl10_267 ),
inference(avatar_component_clause,[],[f2501]) ).
fof(f17953,plain,
( leq(index(pendack,host(sK4)),s(nbr_proc))
| ~ spl10_269
| ~ spl10_288 ),
inference(resolution,[],[f2587,f2824]) ).
fof(f2824,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl10_288 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f2587,plain,
( leq(index(pendack,host(sK4)),host(sK5))
| ~ spl10_269 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f18014,plain,
( spl10_581
| ~ spl10_267
| ~ spl10_269 ),
inference(avatar_split_clause,[],[f17968,f2586,f2501,f18011]) ).
fof(f17968,plain,
( leq(s(host(sK5)),host(sK5))
| ~ spl10_267
| ~ spl10_269 ),
inference(superposition,[],[f2587,f2502]) ).
fof(f17990,plain,
( spl10_266
| ~ spl10_160
| ~ spl10_267
| ~ spl10_269 ),
inference(avatar_split_clause,[],[f17972,f2586,f2501,f1297,f2494]) ).
fof(f2494,plain,
( spl10_266
<=> leq(s(host(sK5)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_266])]) ).
fof(f1297,plain,
( spl10_160
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_160])]) ).
fof(f17972,plain,
( leq(s(host(sK5)),nbr_proc)
| ~ spl10_160
| ~ spl10_267
| ~ spl10_269 ),
inference(forward_demodulation,[],[f17954,f2502]) ).
fof(f17954,plain,
( leq(index(pendack,host(sK4)),nbr_proc)
| ~ spl10_160
| ~ spl10_269 ),
inference(resolution,[],[f2587,f1298]) ).
fof(f1298,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl10_160 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f17932,plain,
( spl10_267
| ~ spl10_143
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f17887,f2439,f1188,f2501]) ).
fof(f1188,plain,
( spl10_143
<=> index(pendack,host(sK6)) = s(host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_143])]) ).
fof(f2439,plain,
( spl10_263
<=> host(sK4) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_263])]) ).
fof(f17887,plain,
( s(host(sK5)) = index(pendack,host(sK4))
| ~ spl10_143
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1190,f2441]) ).
fof(f2441,plain,
( host(sK4) = host(sK6)
| ~ spl10_263 ),
inference(avatar_component_clause,[],[f2439]) ).
fof(f1190,plain,
( index(pendack,host(sK6)) = s(host(sK5))
| ~ spl10_143 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f17880,plain,
( ~ spl10_87
| ~ spl10_2
| spl10_269
| ~ spl10_576 ),
inference(avatar_split_clause,[],[f14921,f14911,f2586,f340,f776]) ).
fof(f776,plain,
( spl10_87
<=> elem(m_Down(sK4),queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_87])]) ).
fof(f340,plain,
( spl10_2
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f14911,plain,
( spl10_576
<=> ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_576])]) ).
fof(f14921,plain,
( ~ setIn(sK5,alive)
| ~ elem(m_Down(sK4),queue(host(sK5)))
| spl10_269
| ~ spl10_576 ),
inference(resolution,[],[f14912,f2588]) ).
fof(f2588,plain,
( ~ leq(index(pendack,host(sK4)),host(sK5))
| spl10_269 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f14912,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl10_576 ),
inference(avatar_component_clause,[],[f14911]) ).
fof(f17879,plain,
( spl10_580
| ~ spl10_146
| ~ spl10_463 ),
inference(avatar_split_clause,[],[f9208,f9123,f1211,f17876]) ).
fof(f17876,plain,
( spl10_580
<=> leq(host(sK4),s(s(host(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_580])]) ).
fof(f1211,plain,
( spl10_146
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_146])]) ).
fof(f9123,plain,
( spl10_463
<=> ! [X0] :
( leq(host(sK4),X0)
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_463])]) ).
fof(f9208,plain,
( leq(host(sK4),s(s(host(sK5))))
| ~ spl10_146
| ~ spl10_463 ),
inference(resolution,[],[f9124,f1212]) ).
fof(f1212,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl10_146 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f9124,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(X0,host(sK5)) )
| ~ spl10_463 ),
inference(avatar_component_clause,[],[f9123]) ).
fof(f17608,plain,
( spl10_579
| ~ spl10_280
| ~ spl10_424 ),
inference(avatar_split_clause,[],[f8703,f7222,f2790,f17605]) ).
fof(f17605,plain,
( spl10_579
<=> leq(zero,s(index(pendack,host(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_579])]) ).
fof(f2790,plain,
( spl10_280
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_280])]) ).
fof(f7222,plain,
( spl10_424
<=> leq(s(zero),index(pendack,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_424])]) ).
fof(f8703,plain,
( leq(zero,s(index(pendack,host(sK4))))
| ~ spl10_280
| ~ spl10_424 ),
inference(resolution,[],[f7224,f2791]) ).
fof(f2791,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,s(X1)) )
| ~ spl10_280 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f7224,plain,
( leq(s(zero),index(pendack,host(sK4)))
| ~ spl10_424 ),
inference(avatar_component_clause,[],[f7222]) ).
fof(f17603,plain,
( spl10_462
| ~ spl10_256
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14270,f2439,f2373,f9118]) ).
fof(f9118,plain,
( spl10_462
<=> leq(host(sK5),s(index(pendack,host(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_462])]) ).
fof(f2373,plain,
( spl10_256
<=> leq(host(sK5),s(index(pendack,host(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_256])]) ).
fof(f14270,plain,
( leq(host(sK5),s(index(pendack,host(sK4))))
| ~ spl10_256
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2375,f2441]) ).
fof(f2375,plain,
( leq(host(sK5),s(index(pendack,host(sK6))))
| ~ spl10_256 ),
inference(avatar_component_clause,[],[f2373]) ).
fof(f17602,plain,
( ~ spl10_578
| spl10_249
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14256,f2439,f2318,f17599]) ).
fof(f17599,plain,
( spl10_578
<=> leq(s(index(pendack,host(sK4))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_578])]) ).
fof(f2318,plain,
( spl10_249
<=> leq(s(index(pendack,host(sK6))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_249])]) ).
fof(f14256,plain,
( ~ leq(s(index(pendack,host(sK4))),host(sK5))
| spl10_249
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2320,f2441]) ).
fof(f2320,plain,
( ~ leq(s(index(pendack,host(sK6))),host(sK5))
| spl10_249 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f17201,plain,
( ~ spl10_577
| ~ spl10_226
| ~ spl10_532 ),
inference(avatar_split_clause,[],[f16844,f10295,f2061,f17198]) ).
fof(f17198,plain,
( spl10_577
<=> elem(m_Ack(sK5,sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_577])]) ).
fof(f2061,plain,
( spl10_226
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_226])]) ).
fof(f10295,plain,
( spl10_532
<=> leq(host(sK4),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_532])]) ).
fof(f16844,plain,
( ~ elem(m_Ack(sK5,sK4),sK2)
| ~ spl10_226
| ~ spl10_532 ),
inference(resolution,[],[f10297,f2062]) ).
fof(f2062,plain,
( ! [X0,X1] :
( ~ leq(host(X1),host(X0))
| ~ elem(m_Ack(X0,X1),sK2) )
| ~ spl10_226 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f10297,plain,
( leq(host(sK4),host(sK5))
| ~ spl10_532 ),
inference(avatar_component_clause,[],[f10295]) ).
fof(f16572,plain,
( spl10_8
| ~ spl10_69
| spl10_532 ),
inference(avatar_split_clause,[],[f10306,f10295,f668,f371]) ).
fof(f371,plain,
( spl10_8
<=> leq(host(sK5),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f668,plain,
( spl10_69
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_69])]) ).
fof(f10306,plain,
( leq(host(sK5),host(sK4))
| ~ spl10_69
| spl10_532 ),
inference(resolution,[],[f10296,f669]) ).
fof(f669,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl10_69 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f10296,plain,
( ~ leq(host(sK4),host(sK5))
| spl10_532 ),
inference(avatar_component_clause,[],[f10295]) ).
fof(f14913,plain,
( spl10_576
| ~ spl10_570 ),
inference(avatar_split_clause,[],[f14530,f14519,f14911]) ).
fof(f14519,plain,
( spl10_570
<=> ! [X0,X1] :
( leq(index(pendack,host(sK4)),host(X0))
| host(X1) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_570])]) ).
fof(f14530,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl10_570 ),
inference(equality_resolution,[],[f14520]) ).
fof(f14520,plain,
( ! [X0,X1] :
( host(X1) != host(sK4)
| leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl10_570 ),
inference(avatar_component_clause,[],[f14519]) ).
fof(f14909,plain,
( spl10_575
| ~ spl10_247
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14304,f2439,f2252,f14907]) ).
fof(f14907,plain,
( spl10_575
<=> ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_575])]) ).
fof(f2252,plain,
( spl10_247
<=> ! [X0] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK6)),host(X0))
| ~ elem(m_Down(sK6),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_247])]) ).
fof(f14304,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0))) )
| ~ spl10_247
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2253,f2441]) ).
fof(f2253,plain,
( ! [X0] :
( leq(index(pendack,host(sK6)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0))) )
| ~ spl10_247 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f14873,plain,
( spl10_574
| ~ spl10_567 ),
inference(avatar_split_clause,[],[f14504,f14501,f14871]) ).
fof(f14871,plain,
( spl10_574
<=> ! [X0] :
( leq(host(sK4),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_574])]) ).
fof(f14501,plain,
( spl10_567
<=> ! [X0,X1] :
( leq(host(sK4),host(X1))
| host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_567])]) ).
fof(f14504,plain,
( ! [X0] :
( leq(host(sK4),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(X0))) )
| ~ spl10_567 ),
inference(equality_resolution,[],[f14502]) ).
fof(f14502,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| leq(host(sK4),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl10_567 ),
inference(avatar_component_clause,[],[f14501]) ).
fof(f14869,plain,
( spl10_573
| ~ spl10_240
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14303,f2439,f2192,f14867]) ).
fof(f14867,plain,
( spl10_573
<=> ! [X0] :
( leq(host(sK4),host(X0))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_573])]) ).
fof(f2192,plain,
( spl10_240
<=> ! [X0] :
( leq(host(sK6),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_240])]) ).
fof(f14303,plain,
( ! [X0] :
( leq(host(sK4),host(X0))
| ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive) )
| ~ spl10_240
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2193,f2441]) ).
fof(f2193,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| leq(host(sK6),host(X0)) )
| ~ spl10_240 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f14859,plain,
( spl10_519
| ~ spl10_235
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14262,f2439,f2138,f10242]) ).
fof(f10242,plain,
( spl10_519
<=> ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| ~ leq(X0,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_519])]) ).
fof(f2138,plain,
( spl10_235
<=> ! [X0] :
( ~ leq(X0,s(host(sK5)))
| leq(X0,s(index(pendack,host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_235])]) ).
fof(f14262,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_235
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2139,f2441]) ).
fof(f2139,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK6))))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_235 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f14857,plain,
( spl10_505
| ~ spl10_231
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14264,f2439,f2112,f9822]) ).
fof(f9822,plain,
( spl10_505
<=> ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| leq(s(host(sK5)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_505])]) ).
fof(f2112,plain,
( spl10_231
<=> ! [X0] :
( leq(s(host(sK5)),X0)
| leq(X0,index(pendack,host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_231])]) ).
fof(f14264,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| leq(s(host(sK5)),X0) )
| ~ spl10_231
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2113,f2441]) ).
fof(f2113,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| leq(s(host(sK5)),X0) )
| ~ spl10_231 ),
inference(avatar_component_clause,[],[f2112]) ).
fof(f14856,plain,
( ~ spl10_489
| spl10_230
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14267,f2439,f2078,f9616]) ).
fof(f9616,plain,
( spl10_489
<=> leq(s(s(index(pendack,host(sK4)))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_489])]) ).
fof(f2078,plain,
( spl10_230
<=> leq(s(s(index(pendack,host(sK6)))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_230])]) ).
fof(f14267,plain,
( ~ leq(s(s(index(pendack,host(sK4)))),s(host(sK5)))
| spl10_230
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2080,f2441]) ).
fof(f2080,plain,
( ~ leq(s(s(index(pendack,host(sK6)))),s(host(sK5)))
| spl10_230 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f14843,plain,
( ~ spl10_472
| spl10_224
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14269,f2439,f2015,f9296]) ).
fof(f9296,plain,
( spl10_472
<=> leq(s(index(pendack,host(sK4))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_472])]) ).
fof(f2015,plain,
( spl10_224
<=> leq(s(index(pendack,host(sK6))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_224])]) ).
fof(f14269,plain,
( ~ leq(s(index(pendack,host(sK4))),s(host(sK5)))
| spl10_224
| ~ spl10_263 ),
inference(forward_demodulation,[],[f2017,f2441]) ).
fof(f2017,plain,
( ~ leq(s(index(pendack,host(sK6))),s(host(sK5)))
| spl10_224 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f14826,plain,
( spl10_409
| ~ spl10_148
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14272,f2439,f1226,f6651]) ).
fof(f6651,plain,
( spl10_409
<=> leq(host(sK4),index(pendack,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_409])]) ).
fof(f1226,plain,
( spl10_148
<=> leq(host(sK6),index(pendack,host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_148])]) ).
fof(f14272,plain,
( leq(host(sK4),index(pendack,host(sK4)))
| ~ spl10_148
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1228,f2441]) ).
fof(f1228,plain,
( leq(host(sK6),index(pendack,host(sK6)))
| ~ spl10_148 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f14825,plain,
( spl10_412
| ~ spl10_172
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14271,f2439,f1409,f6898]) ).
fof(f6898,plain,
( spl10_412
<=> leq(host(sK5),index(pendack,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_412])]) ).
fof(f1409,plain,
( spl10_172
<=> leq(host(sK5),index(pendack,host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_172])]) ).
fof(f14271,plain,
( leq(host(sK5),index(pendack,host(sK4)))
| ~ spl10_172
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1411,f2441]) ).
fof(f1411,plain,
( leq(host(sK5),index(pendack,host(sK6)))
| ~ spl10_172 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f14822,plain,
( ~ spl10_325
| ~ spl10_263
| spl10_264 ),
inference(avatar_split_clause,[],[f14279,f2466,f2439,f4036]) ).
fof(f4036,plain,
( spl10_325
<=> leq(s(host(sK5)),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_325])]) ).
fof(f2466,plain,
( spl10_264
<=> leq(s(host(sK5)),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_264])]) ).
fof(f14279,plain,
( ~ leq(s(host(sK5)),host(sK4))
| ~ spl10_263
| spl10_264 ),
inference(forward_demodulation,[],[f2468,f2441]) ).
fof(f2468,plain,
( ~ leq(s(host(sK5)),host(sK6))
| spl10_264 ),
inference(avatar_component_clause,[],[f2466]) ).
fof(f14819,plain,
( spl10_510
| ~ spl10_252
| ~ spl10_495 ),
inference(avatar_split_clause,[],[f14131,f9641,f2347,f9842]) ).
fof(f9842,plain,
( spl10_510
<=> m_Down(sK4) = last(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_510])]) ).
fof(f2347,plain,
( spl10_252
<=> m_Down(sK4) = last(queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_252])]) ).
fof(f9641,plain,
( spl10_495
<=> last(queue(host(sK5))) = last(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_495])]) ).
fof(f14131,plain,
( m_Down(sK4) = last(sK2)
| ~ spl10_252
| ~ spl10_495 ),
inference(forward_demodulation,[],[f2349,f9643]) ).
fof(f9643,plain,
( last(queue(host(sK5))) = last(sK2)
| ~ spl10_495 ),
inference(avatar_component_clause,[],[f9641]) ).
fof(f2349,plain,
( m_Down(sK4) = last(queue(host(sK5)))
| ~ spl10_252 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f14647,plain,
( ~ spl10_572
| ~ spl10_465
| spl10_532 ),
inference(avatar_split_clause,[],[f10299,f10295,f9258,f14644]) ).
fof(f14644,plain,
( spl10_572
<=> elem(m_Halt(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_572])]) ).
fof(f9258,plain,
( spl10_465
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| leq(host(X0),host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_465])]) ).
fof(f10299,plain,
( ~ elem(m_Halt(sK4),sK2)
| ~ spl10_465
| spl10_532 ),
inference(resolution,[],[f10296,f9259]) ).
fof(f9259,plain,
( ! [X0] :
( leq(host(X0),host(sK5))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl10_465 ),
inference(avatar_component_clause,[],[f9258]) ).
fof(f14535,plain,
( spl10_571
| ~ spl10_156
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14289,f2439,f1276,f14533]) ).
fof(f14533,plain,
( spl10_571
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| leq(host(X0),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_571])]) ).
fof(f1276,plain,
( spl10_156
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK6)))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_156])]) ).
fof(f14289,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| leq(host(X0),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_156
| ~ spl10_263 ),
inference(forward_demodulation,[],[f14288,f2441]) ).
fof(f14288,plain,
( ! [X0] :
( leq(host(X0),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK6))) )
| ~ spl10_156
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1277,f2441]) ).
fof(f1277,plain,
( ! [X0] :
( elec_2 != index(status,host(X0))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK6))) )
| ~ spl10_156 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f14521,plain,
( spl10_570
| ~ spl10_151
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14313,f2439,f1249,f14519]) ).
fof(f1249,plain,
( spl10_151
<=> ! [X0,X1] :
( leq(index(pendack,host(sK6)),host(X0))
| ~ setIn(X0,alive)
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_151])]) ).
fof(f14313,plain,
( ! [X0,X1] :
( leq(index(pendack,host(sK4)),host(X0))
| host(X1) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl10_151
| ~ spl10_263 ),
inference(forward_demodulation,[],[f14312,f2441]) ).
fof(f14312,plain,
( ! [X0,X1] :
( host(X1) != host(sK4)
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK6)),host(X0))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl10_151
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1250,f2441]) ).
fof(f1250,plain,
( ! [X0,X1] :
( host(X1) != host(sK6)
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK6)),host(X0))
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl10_151 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f14517,plain,
( spl10_569
| ~ spl10_150
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14300,f2439,f1240,f14515]) ).
fof(f14515,plain,
( spl10_569
<=> ! [X0,X1] :
( host(X1) != host(sK4)
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_569])]) ).
fof(f1240,plain,
( spl10_150
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X1) != host(sK6)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_150])]) ).
fof(f14300,plain,
( ! [X0,X1] :
( host(X1) != host(sK4)
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) )
| ~ spl10_150
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1241,f2441]) ).
fof(f1241,plain,
( ! [X0,X1] :
( elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| host(X1) != host(sK6)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) )
| ~ spl10_150 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f14513,plain,
( spl10_568
| ~ spl10_149
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14291,f2439,f1231,f14511]) ).
fof(f14511,plain,
( spl10_568
<=> ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| leq(host(X0),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_568])]) ).
fof(f1231,plain,
( spl10_149
<=> ! [X0] :
( leq(index(pendack,host(sK6)),host(X0))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_149])]) ).
fof(f14291,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| leq(host(X0),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) )
| ~ spl10_149
| ~ spl10_263 ),
inference(forward_demodulation,[],[f14290,f2441]) ).
fof(f14290,plain,
( ! [X0] :
( leq(host(X0),host(sK4))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK6)),host(X0)) )
| ~ spl10_149
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1232,f2441]) ).
fof(f1232,plain,
( ! [X0] :
( elec_2 != index(status,host(X0))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK6)),host(X0)) )
| ~ spl10_149 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f14503,plain,
( spl10_567
| ~ spl10_147
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14311,f2439,f1220,f14501]) ).
fof(f1220,plain,
( spl10_147
<=> ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| leq(host(sK6),host(X1))
| ~ setIn(X1,alive)
| host(X0) != host(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_147])]) ).
fof(f14311,plain,
( ! [X0,X1] :
( leq(host(sK4),host(X1))
| host(X0) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl10_147
| ~ spl10_263 ),
inference(forward_demodulation,[],[f14310,f2441]) ).
fof(f14310,plain,
( ! [X0,X1] :
( host(X0) != host(sK4)
| leq(host(sK6),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl10_147
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1221,f2441]) ).
fof(f1221,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| leq(host(sK6),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl10_147 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f14483,plain,
( spl10_504
| ~ spl10_134
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14265,f2439,f1130,f9818]) ).
fof(f9818,plain,
( spl10_504
<=> ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| ~ leq(X0,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_504])]) ).
fof(f1130,plain,
( spl10_134
<=> ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_134])]) ).
fof(f14265,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_134
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1131,f2441]) ).
fof(f1131,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_134 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f14469,plain,
( spl10_104
| ~ spl10_563 ),
inference(avatar_contradiction_clause,[],[f14468]) ).
fof(f14468,plain,
( $false
| spl10_104
| ~ spl10_563 ),
inference(resolution,[],[f871,f14074]) ).
fof(f14074,plain,
( ! [X0] : ordered(X0)
| ~ spl10_563 ),
inference(avatar_component_clause,[],[f14073]) ).
fof(f14073,plain,
( spl10_563
<=> ! [X0] : ordered(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_563])]) ).
fof(f871,plain,
( ~ ordered(queue(host(sK5)))
| spl10_104 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f869,plain,
( spl10_104
<=> ordered(queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_104])]) ).
fof(f14430,plain,
( spl10_566
| ~ spl10_85
| ~ spl10_563 ),
inference(avatar_split_clause,[],[f14362,f14073,f759,f14428]) ).
fof(f14428,plain,
( spl10_566
<=> ! [X0,X1] : sP1(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_566])]) ).
fof(f759,plain,
( spl10_85
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_85])]) ).
fof(f14362,plain,
( ! [X0,X1] : sP1(X0,X1)
| ~ spl10_85
| ~ spl10_563 ),
inference(resolution,[],[f760,f14074]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl10_85 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f14390,plain,
( spl10_565
| ~ spl10_83
| ~ spl10_563 ),
inference(avatar_split_clause,[],[f14360,f14073,f751,f14388]) ).
fof(f14388,plain,
( spl10_565
<=> ! [X0,X1] : sP0(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_565])]) ).
fof(f751,plain,
( spl10_83
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_83])]) ).
fof(f14360,plain,
( ! [X0,X1] : sP0(X0,X1)
| ~ spl10_83
| ~ spl10_563 ),
inference(resolution,[],[f752,f14074]) ).
fof(f752,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl10_83 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f14319,plain,
( spl10_270
| ~ spl10_14
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14280,f2439,f402,f2593]) ).
fof(f2593,plain,
( spl10_270
<=> leq(s(host(sK5)),index(pendack,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_270])]) ).
fof(f402,plain,
( spl10_14
<=> leq(s(host(sK5)),index(pendack,host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f14280,plain,
( leq(s(host(sK5)),index(pendack,host(sK4)))
| ~ spl10_14
| ~ spl10_263 ),
inference(forward_demodulation,[],[f404,f2441]) ).
fof(f404,plain,
( leq(s(host(sK5)),index(pendack,host(sK6)))
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f14317,plain,
( ~ spl10_8
| spl10_7
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f14281,f2439,f366,f371]) ).
fof(f366,plain,
( spl10_7
<=> leq(host(sK5),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f14281,plain,
( ~ leq(host(sK5),host(sK4))
| spl10_7
| ~ spl10_263 ),
inference(forward_demodulation,[],[f368,f2441]) ).
fof(f368,plain,
( ~ leq(host(sK5),host(sK6))
| spl10_7 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f14316,plain,
( spl10_103
| ~ spl10_563 ),
inference(avatar_contradiction_clause,[],[f14315]) ).
fof(f14315,plain,
( $false
| spl10_103
| ~ spl10_563 ),
inference(resolution,[],[f866,f14074]) ).
fof(f866,plain,
( ~ ordered(sK2)
| spl10_103 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f865,plain,
( spl10_103
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_103])]) ).
fof(f14314,plain,
( spl10_2
| ~ spl10_1
| ~ spl10_64 ),
inference(avatar_split_clause,[],[f14136,f647,f335,f340]) ).
fof(f335,plain,
( spl10_1
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f647,plain,
( spl10_64
<=> sK3 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_64])]) ).
fof(f14136,plain,
( setIn(sK5,alive)
| ~ spl10_1
| ~ spl10_64 ),
inference(forward_demodulation,[],[f337,f649]) ).
fof(f649,plain,
( sK3 = sK5
| ~ spl10_64 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f337,plain,
( setIn(sK3,alive)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f14089,plain,
( ~ spl10_563
| ~ spl10_564 ),
inference(avatar_contradiction_clause,[],[f14088]) ).
fof(f14088,plain,
( $false
| ~ spl10_563
| ~ spl10_564 ),
inference(resolution,[],[f14086,f14074]) ).
fof(f14086,plain,
( ! [X0] : ~ ordered(X0)
| ~ spl10_564 ),
inference(avatar_component_clause,[],[f14085]) ).
fof(f14085,plain,
( spl10_564
<=> ! [X0] : ~ ordered(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_564])]) ).
fof(f14087,plain,
( spl10_564
| spl10_104
| ~ spl10_549 ),
inference(avatar_split_clause,[],[f14080,f11644,f869,f14085]) ).
fof(f11644,plain,
( spl10_549
<=> ! [X0,X1] : X0 = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_549])]) ).
fof(f14080,plain,
( ! [X0] : ~ ordered(X0)
| spl10_104
| ~ spl10_549 ),
inference(superposition,[],[f871,f11645]) ).
fof(f11645,plain,
( ! [X0,X1] : X0 = X1
| ~ spl10_549 ),
inference(avatar_component_clause,[],[f11644]) ).
fof(f14083,plain,
( spl10_563
| ~ spl10_41
| ~ spl10_549 ),
inference(avatar_split_clause,[],[f12669,f11644,f548,f14073]) ).
fof(f548,plain,
( spl10_41
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_41])]) ).
fof(f12669,plain,
( ! [X1] : ordered(X1)
| ~ spl10_41
| ~ spl10_549 ),
inference(superposition,[],[f549,f11645]) ).
fof(f549,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl10_41 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f14082,plain,
( spl10_563
| ~ spl10_103
| ~ spl10_549 ),
inference(avatar_split_clause,[],[f13844,f11644,f865,f14073]) ).
fof(f13844,plain,
( ! [X0] : ordered(X0)
| ~ spl10_103
| ~ spl10_549 ),
inference(superposition,[],[f867,f11645]) ).
fof(f867,plain,
( ordered(sK2)
| ~ spl10_103 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f14075,plain,
( spl10_563
| ~ spl10_104
| ~ spl10_549 ),
inference(avatar_split_clause,[],[f12409,f11644,f869,f14073]) ).
fof(f12409,plain,
( ! [X0] : ordered(X0)
| ~ spl10_104
| ~ spl10_549 ),
inference(superposition,[],[f870,f11645]) ).
fof(f870,plain,
( ordered(queue(host(sK5)))
| ~ spl10_104 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f14067,plain,
~ spl10_562,
inference(avatar_contradiction_clause,[],[f14066]) ).
fof(f14066,plain,
( $false
| ~ spl10_562 ),
inference(equality_resolution,[],[f14046]) ).
fof(f14046,plain,
( ! [X0,X1] : m_Ldr(X1) != X0
| ~ spl10_562 ),
inference(avatar_component_clause,[],[f14045]) ).
fof(f14045,plain,
( spl10_562
<=> ! [X0,X1] : m_Ldr(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_562])]) ).
fof(f14063,plain,
~ spl10_561,
inference(avatar_contradiction_clause,[],[f14062]) ).
fof(f14062,plain,
( $false
| ~ spl10_561 ),
inference(equality_resolution,[],[f14042]) ).
fof(f14042,plain,
( ! [X0,X1] : m_NormQ(X1) != X0
| ~ spl10_561 ),
inference(avatar_component_clause,[],[f14041]) ).
fof(f14041,plain,
( spl10_561
<=> ! [X0,X1] : m_NormQ(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_561])]) ).
fof(f14055,plain,
~ spl10_560,
inference(avatar_contradiction_clause,[],[f14054]) ).
fof(f14054,plain,
( $false
| ~ spl10_560 ),
inference(equality_resolution,[],[f14038]) ).
fof(f14038,plain,
( ! [X0,X1] : m_NotNorm(X1) != X0
| ~ spl10_560 ),
inference(avatar_component_clause,[],[f14037]) ).
fof(f14037,plain,
( spl10_560
<=> ! [X0,X1] : m_NotNorm(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_560])]) ).
fof(f14051,plain,
~ spl10_559,
inference(avatar_contradiction_clause,[],[f14050]) ).
fof(f14050,plain,
( $false
| ~ spl10_559 ),
inference(equality_resolution,[],[f14034]) ).
fof(f14034,plain,
( ! [X0,X1] : m_Halt(X1) != X0
| ~ spl10_559 ),
inference(avatar_component_clause,[],[f14033]) ).
fof(f14033,plain,
( spl10_559
<=> ! [X0,X1] : m_Halt(X1) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_559])]) ).
fof(f14047,plain,
( spl10_562
| ~ spl10_56
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10396,f10376,f610,f14045]) ).
fof(f610,plain,
( spl10_56
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_56])]) ).
fof(f10376,plain,
( spl10_533
<=> ! [X1] : m_Down(sK4) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_533])]) ).
fof(f10396,plain,
( ! [X0,X1] : m_Ldr(X1) != X0
| ~ spl10_56
| ~ spl10_533 ),
inference(superposition,[],[f611,f10377]) ).
fof(f10377,plain,
( ! [X1] : m_Down(sK4) = X1
| ~ spl10_533 ),
inference(avatar_component_clause,[],[f10376]) ).
fof(f611,plain,
( ! [X0,X1] : m_Down(X0) != m_Ldr(X1)
| ~ spl10_56 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f14043,plain,
( spl10_561
| ~ spl10_55
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10395,f10376,f606,f14041]) ).
fof(f606,plain,
( spl10_55
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_55])]) ).
fof(f10395,plain,
( ! [X0,X1] : m_NormQ(X1) != X0
| ~ spl10_55
| ~ spl10_533 ),
inference(superposition,[],[f607,f10377]) ).
fof(f607,plain,
( ! [X0,X1] : m_Down(X0) != m_NormQ(X1)
| ~ spl10_55 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f14039,plain,
( spl10_560
| ~ spl10_54
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10394,f10376,f602,f14037]) ).
fof(f602,plain,
( spl10_54
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_54])]) ).
fof(f10394,plain,
( ! [X0,X1] : m_NotNorm(X1) != X0
| ~ spl10_54
| ~ spl10_533 ),
inference(superposition,[],[f603,f10377]) ).
fof(f603,plain,
( ! [X0,X1] : m_Down(X0) != m_NotNorm(X1)
| ~ spl10_54 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f14035,plain,
( spl10_559
| ~ spl10_53
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10393,f10376,f598,f14033]) ).
fof(f598,plain,
( spl10_53
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_53])]) ).
fof(f10393,plain,
( ! [X0,X1] : m_Halt(X1) != X0
| ~ spl10_53
| ~ spl10_533 ),
inference(superposition,[],[f599,f10377]) ).
fof(f599,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl10_53 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f12167,plain,
( ~ spl10_104
| spl10_558
| ~ spl10_81
| ~ spl10_232 ),
inference(avatar_split_clause,[],[f2141,f2126,f743,f12165,f869]) ).
fof(f12165,plain,
( spl10_558
<=> ! [X0] : sP0(m_Down(sK4),snoc(sK2,m_Ldr(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_558])]) ).
fof(f743,plain,
( spl10_81
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_81])]) ).
fof(f2126,plain,
( spl10_232
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK5)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_232])]) ).
fof(f2141,plain,
( ! [X0] :
( sP0(m_Down(sK4),snoc(sK2,m_Ldr(X0)))
| ~ ordered(queue(host(sK5))) )
| ~ spl10_81
| ~ spl10_232 ),
inference(resolution,[],[f2127,f744]) ).
fof(f744,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl10_81 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f2127,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK5)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) )
| ~ spl10_232 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f12161,plain,
( spl10_557
| ~ spl10_104
| ~ spl10_13
| ~ spl10_306 ),
inference(avatar_split_clause,[],[f3525,f3363,f397,f869,f12159]) ).
fof(f12159,plain,
( spl10_557
<=> ! [X0,X1] : ordered(snoc(sK2,m_Ack(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_557])]) ).
fof(f397,plain,
( spl10_13
<=> cons(m_Down(sK4),sK2) = queue(host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f3363,plain,
( spl10_306
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_306])]) ).
fof(f3525,plain,
( ! [X0,X1] :
( ~ ordered(queue(host(sK5)))
| ordered(snoc(sK2,m_Ack(X0,X1))) )
| ~ spl10_13
| ~ spl10_306 ),
inference(superposition,[],[f3364,f399]) ).
fof(f399,plain,
( cons(m_Down(sK4),sK2) = queue(host(sK5))
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f3364,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl10_306 ),
inference(avatar_component_clause,[],[f3363]) ).
fof(f12155,plain,
( spl10_556
| ~ spl10_104
| ~ spl10_13
| ~ spl10_298 ),
inference(avatar_split_clause,[],[f3322,f3032,f397,f869,f12153]) ).
fof(f12153,plain,
( spl10_556
<=> ! [X0] : ordered(snoc(sK2,m_Ldr(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_556])]) ).
fof(f3032,plain,
( spl10_298
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_298])]) ).
fof(f3322,plain,
( ! [X0] :
( ~ ordered(queue(host(sK5)))
| ordered(snoc(sK2,m_Ldr(X0))) )
| ~ spl10_13
| ~ spl10_298 ),
inference(superposition,[],[f3033,f399]) ).
fof(f3033,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl10_298 ),
inference(avatar_component_clause,[],[f3032]) ).
fof(f12151,plain,
( spl10_555
| ~ spl10_104
| ~ spl10_13
| ~ spl10_83 ),
inference(avatar_split_clause,[],[f774,f751,f397,f869,f12148]) ).
fof(f12148,plain,
( spl10_555
<=> sP0(m_Down(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_555])]) ).
fof(f774,plain,
( ~ ordered(queue(host(sK5)))
| sP0(m_Down(sK4),sK2)
| ~ spl10_13
| ~ spl10_83 ),
inference(superposition,[],[f752,f399]) ).
fof(f12146,plain,
( spl10_554
| ~ spl10_41
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10948,f10376,f548,f11964]) ).
fof(f11964,plain,
( spl10_554
<=> ordered(m_Down(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_554])]) ).
fof(f10948,plain,
( ordered(m_Down(sK4))
| ~ spl10_41
| ~ spl10_533 ),
inference(superposition,[],[f549,f10377]) ).
fof(f11967,plain,
( ~ spl10_554
| spl10_104
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10659,f10376,f869,f11964]) ).
fof(f10659,plain,
( ~ ordered(m_Down(sK4))
| spl10_104
| ~ spl10_533 ),
inference(superposition,[],[f871,f10377]) ).
fof(f11662,plain,
( spl10_553
| ~ spl10_14
| ~ spl10_263
| ~ spl10_317 ),
inference(avatar_split_clause,[],[f4033,f3577,f2439,f402,f11660]) ).
fof(f11660,plain,
( spl10_553
<=> ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| ~ leq(X0,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_553])]) ).
fof(f3577,plain,
( spl10_317
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_317])]) ).
fof(f4033,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_14
| ~ spl10_263
| ~ spl10_317 ),
inference(forward_demodulation,[],[f4020,f2441]) ).
fof(f4020,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK6))))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_14
| ~ spl10_317 ),
inference(resolution,[],[f3578,f404]) ).
fof(f3578,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| leq(s(X0),s(X1))
| ~ leq(X0,X2) )
| ~ spl10_317 ),
inference(avatar_component_clause,[],[f3577]) ).
fof(f11658,plain,
( spl10_552
| ~ spl10_14
| ~ spl10_263
| ~ spl10_316 ),
inference(avatar_split_clause,[],[f3980,f3573,f2439,f402,f11656]) ).
fof(f11656,plain,
( spl10_552
<=> ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| leq(s(host(sK5)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_552])]) ).
fof(f3573,plain,
( spl10_316
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_316])]) ).
fof(f3980,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| leq(s(host(sK5)),X0) )
| ~ spl10_14
| ~ spl10_263
| ~ spl10_316 ),
inference(forward_demodulation,[],[f3967,f2441]) ).
fof(f3967,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK6))))
| leq(s(host(sK5)),X0) )
| ~ spl10_14
| ~ spl10_316 ),
inference(resolution,[],[f3574,f404]) ).
fof(f3574,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| leq(s(X0),s(X1))
| leq(X2,X0) )
| ~ spl10_316 ),
inference(avatar_component_clause,[],[f3573]) ).
fof(f11654,plain,
( spl10_551
| ~ spl10_14
| ~ spl10_263
| ~ spl10_313 ),
inference(avatar_split_clause,[],[f3893,f3561,f2439,f402,f11652]) ).
fof(f11652,plain,
( spl10_551
<=> ! [X0] :
( leq(X0,s(s(index(pendack,host(sK4)))))
| ~ leq(X0,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_551])]) ).
fof(f3561,plain,
( spl10_313
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_313])]) ).
fof(f3893,plain,
( ! [X0] :
( leq(X0,s(s(index(pendack,host(sK4)))))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_14
| ~ spl10_263
| ~ spl10_313 ),
inference(forward_demodulation,[],[f3881,f2441]) ).
fof(f3881,plain,
( ! [X0] :
( leq(X0,s(s(index(pendack,host(sK6)))))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_14
| ~ spl10_313 ),
inference(resolution,[],[f3562,f404]) ).
fof(f3562,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,s(s(X2)))
| ~ leq(X0,X1) )
| ~ spl10_313 ),
inference(avatar_component_clause,[],[f3561]) ).
fof(f11650,plain,
( spl10_550
| spl10_230
| ~ spl10_263
| ~ spl10_310 ),
inference(avatar_split_clause,[],[f3768,f3548,f2439,f2078,f11648]) ).
fof(f11648,plain,
( spl10_550
<=> ! [X0] :
( leq(s(X0),s(s(index(pendack,host(sK4)))))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_550])]) ).
fof(f3548,plain,
( spl10_310
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_310])]) ).
fof(f3768,plain,
( ! [X0] :
( leq(s(X0),s(s(index(pendack,host(sK4)))))
| leq(host(sK5),X0) )
| spl10_230
| ~ spl10_263
| ~ spl10_310 ),
inference(forward_demodulation,[],[f3674,f2441]) ).
fof(f3674,plain,
( ! [X0] :
( leq(s(X0),s(s(index(pendack,host(sK6)))))
| leq(host(sK5),X0) )
| spl10_230
| ~ spl10_310 ),
inference(resolution,[],[f3549,f2080]) ).
fof(f3549,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl10_310 ),
inference(avatar_component_clause,[],[f3548]) ).
fof(f11646,plain,
( spl10_549
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10382,f10376,f11644]) ).
fof(f10382,plain,
( ! [X0,X1] : X0 = X1
| ~ spl10_533 ),
inference(superposition,[],[f10377,f10377]) ).
fof(f11642,plain,
( spl10_548
| spl10_268
| ~ spl10_310 ),
inference(avatar_split_clause,[],[f3741,f3548,f2506,f11640]) ).
fof(f11640,plain,
( spl10_548
<=> ! [X0] :
( leq(s(s(host(sK5))),X0)
| leq(X0,s(index(pendack,host(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_548])]) ).
fof(f2506,plain,
( spl10_268
<=> leq(index(pendack,host(sK4)),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_268])]) ).
fof(f3741,plain,
( ! [X0] :
( leq(s(s(host(sK5))),X0)
| leq(X0,s(index(pendack,host(sK4)))) )
| spl10_268
| ~ spl10_310 ),
inference(resolution,[],[f3549,f2508]) ).
fof(f2508,plain,
( ~ leq(index(pendack,host(sK4)),s(host(sK5)))
| spl10_268 ),
inference(avatar_component_clause,[],[f2506]) ).
fof(f11638,plain,
( spl10_547
| ~ spl10_135
| ~ spl10_298 ),
inference(avatar_split_clause,[],[f3323,f3032,f1137,f11636]) ).
fof(f11636,plain,
( spl10_547
<=> ! [X0,X1] :
( ~ ordered(snoc(queue(host(sK5)),X0))
| ordered(snoc(snoc(sK2,X0),m_Ldr(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_547])]) ).
fof(f1137,plain,
( spl10_135
<=> ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK5)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_135])]) ).
fof(f3323,plain,
( ! [X0,X1] :
( ~ ordered(snoc(queue(host(sK5)),X0))
| ordered(snoc(snoc(sK2,X0),m_Ldr(X1))) )
| ~ spl10_135
| ~ spl10_298 ),
inference(superposition,[],[f3033,f1138]) ).
fof(f1138,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK5)),X0)
| ~ spl10_135 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f11634,plain,
( spl10_546
| ~ spl10_239
| ~ spl10_263
| ~ spl10_297 ),
inference(avatar_split_clause,[],[f3295,f3028,f2439,f2188,f11632]) ).
fof(f11632,plain,
( spl10_546
<=> ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| ~ leq(X0,s(zero))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_546])]) ).
fof(f2188,plain,
( spl10_239
<=> ! [X0,X1] :
( ~ leq(X0,s(host(sK5)))
| leq(X1,index(pendack,host(sK6)))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_239])]) ).
fof(f3028,plain,
( spl10_297
<=> ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_297])]) ).
fof(f3295,plain,
( ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| ~ leq(X0,s(zero))
| ~ leq(X1,X0) )
| ~ spl10_239
| ~ spl10_263
| ~ spl10_297 ),
inference(forward_demodulation,[],[f3266,f2441]) ).
fof(f3266,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X1,index(pendack,host(sK6)))
| ~ leq(X1,X0) )
| ~ spl10_239
| ~ spl10_297 ),
inference(resolution,[],[f3029,f2189]) ).
fof(f2189,plain,
( ! [X0,X1] :
( ~ leq(X0,s(host(sK5)))
| leq(X1,index(pendack,host(sK6)))
| ~ leq(X1,X0) )
| ~ spl10_239 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f3029,plain,
( ! [X0,X1] :
( leq(X0,s(host(X1)))
| ~ leq(X0,s(zero)) )
| ~ spl10_297 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f11630,plain,
( spl10_545
| ~ spl10_241
| ~ spl10_263
| ~ spl10_297 ),
inference(avatar_split_clause,[],[f3294,f3028,f2439,f2196,f11628]) ).
fof(f11628,plain,
( spl10_545
<=> ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| ~ leq(X0,s(zero))
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_545])]) ).
fof(f2196,plain,
( spl10_241
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,index(pendack,host(sK6)))
| ~ leq(X0,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_241])]) ).
fof(f3294,plain,
( ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| ~ leq(X0,s(zero))
| leq(X0,X1) )
| ~ spl10_241
| ~ spl10_263
| ~ spl10_297 ),
inference(forward_demodulation,[],[f3265,f2441]) ).
fof(f3265,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X1,index(pendack,host(sK6)))
| leq(X0,X1) )
| ~ spl10_241
| ~ spl10_297 ),
inference(resolution,[],[f3029,f2197]) ).
fof(f2197,plain,
( ! [X0,X1] :
( ~ leq(X0,s(host(sK5)))
| leq(X1,index(pendack,host(sK6)))
| leq(X0,X1) )
| ~ spl10_241 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f11626,plain,
( spl10_544
| spl10_230
| ~ spl10_263
| ~ spl10_296 ),
inference(avatar_split_clause,[],[f3228,f3024,f2439,f2078,f11624]) ).
fof(f11624,plain,
( spl10_544
<=> ! [X0] :
( leq(X0,s(s(index(pendack,host(sK4)))))
| leq(s(host(sK5)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_544])]) ).
fof(f3024,plain,
( spl10_296
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_296])]) ).
fof(f3228,plain,
( ! [X0] :
( leq(X0,s(s(index(pendack,host(sK4)))))
| leq(s(host(sK5)),X0) )
| spl10_230
| ~ spl10_263
| ~ spl10_296 ),
inference(forward_demodulation,[],[f3094,f2441]) ).
fof(f3094,plain,
( ! [X0] :
( leq(s(host(sK5)),X0)
| leq(X0,s(s(index(pendack,host(sK6))))) )
| spl10_230
| ~ spl10_296 ),
inference(resolution,[],[f3025,f2080]) ).
fof(f3025,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl10_296 ),
inference(avatar_component_clause,[],[f3024]) ).
fof(f11622,plain,
( spl10_543
| ~ spl10_226
| ~ spl10_296 ),
inference(avatar_split_clause,[],[f3079,f3024,f2061,f11620]) ).
fof(f11620,plain,
( spl10_543
<=> ! [X2,X0,X1] :
( leq(host(X1),X2)
| leq(X2,host(X0))
| ~ elem(m_Ack(X1,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_543])]) ).
fof(f3079,plain,
( ! [X2,X0,X1] :
( leq(host(X1),X2)
| leq(X2,host(X0))
| ~ elem(m_Ack(X1,X0),sK2) )
| ~ spl10_226
| ~ spl10_296 ),
inference(resolution,[],[f3025,f2062]) ).
fof(f11618,plain,
( spl10_542
| ~ spl10_231
| ~ spl10_263
| ~ spl10_280 ),
inference(avatar_split_clause,[],[f2849,f2790,f2439,f2112,f11616]) ).
fof(f11616,plain,
( spl10_542
<=> ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| leq(s(host(sK5)),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_542])]) ).
fof(f2849,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| leq(s(host(sK5)),s(X0)) )
| ~ spl10_231
| ~ spl10_263
| ~ spl10_280 ),
inference(forward_demodulation,[],[f2846,f2441]) ).
fof(f2846,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK6))))
| leq(s(host(sK5)),s(X0)) )
| ~ spl10_231
| ~ spl10_280 ),
inference(resolution,[],[f2791,f2113]) ).
fof(f11614,plain,
( spl10_541
| ~ spl10_239
| ~ spl10_263
| ~ spl10_272 ),
inference(avatar_split_clause,[],[f2673,f2614,f2439,f2188,f11612]) ).
fof(f11612,plain,
( spl10_541
<=> ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| leq(host(sK5),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_541])]) ).
fof(f2614,plain,
( spl10_272
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_272])]) ).
fof(f2673,plain,
( ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| leq(host(sK5),X0)
| ~ leq(X1,X0) )
| ~ spl10_239
| ~ spl10_263
| ~ spl10_272 ),
inference(forward_demodulation,[],[f2647,f2441]) ).
fof(f2647,plain,
( ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X1,index(pendack,host(sK6)))
| ~ leq(X1,X0) )
| ~ spl10_239
| ~ spl10_272 ),
inference(resolution,[],[f2615,f2189]) ).
fof(f2615,plain,
( ! [X0,X1] :
( leq(X1,s(X0))
| leq(X0,X1) )
| ~ spl10_272 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f11610,plain,
( spl10_540
| ~ spl10_241
| ~ spl10_263
| ~ spl10_272 ),
inference(avatar_split_clause,[],[f2672,f2614,f2439,f2196,f11608]) ).
fof(f11608,plain,
( spl10_540
<=> ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| leq(host(sK5),X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_540])]) ).
fof(f2672,plain,
( ! [X0,X1] :
( leq(X1,index(pendack,host(sK4)))
| leq(host(sK5),X0)
| leq(X0,X1) )
| ~ spl10_241
| ~ spl10_263
| ~ spl10_272 ),
inference(forward_demodulation,[],[f2646,f2441]) ).
fof(f2646,plain,
( ! [X0,X1] :
( leq(host(sK5),X0)
| leq(X1,index(pendack,host(sK6)))
| leq(X0,X1) )
| ~ spl10_241
| ~ spl10_272 ),
inference(resolution,[],[f2615,f2197]) ).
fof(f11606,plain,
( spl10_539
| ~ spl10_86
| ~ spl10_241 ),
inference(avatar_split_clause,[],[f2211,f2196,f763,f11604]) ).
fof(f11604,plain,
( spl10_539
<=> ! [X0,X1] :
( leq(X0,index(pendack,host(sK6)))
| leq(X1,X0)
| ~ leq(X1,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_539])]) ).
fof(f763,plain,
( spl10_86
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_86])]) ).
fof(f2211,plain,
( ! [X0,X1] :
( leq(X0,index(pendack,host(sK6)))
| leq(X1,X0)
| ~ leq(X1,host(sK5)) )
| ~ spl10_86
| ~ spl10_241 ),
inference(resolution,[],[f2197,f764]) ).
fof(f764,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl10_86 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f11602,plain,
( spl10_538
| ~ spl10_86
| ~ spl10_239 ),
inference(avatar_split_clause,[],[f2199,f2188,f763,f11600]) ).
fof(f11600,plain,
( spl10_538
<=> ! [X0,X1] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,X1)
| ~ leq(X1,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_538])]) ).
fof(f2199,plain,
( ! [X0,X1] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,X1)
| ~ leq(X1,host(sK5)) )
| ~ spl10_86
| ~ spl10_239 ),
inference(resolution,[],[f2189,f764]) ).
fof(f11598,plain,
( spl10_537
| ~ spl10_157
| ~ spl10_235 ),
inference(avatar_split_clause,[],[f2166,f2138,f1285,f11596]) ).
fof(f11596,plain,
( spl10_537
<=> ! [X0] :
( ~ leq(s(X0),s(host(sK5)))
| leq(X0,s(index(pendack,host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_537])]) ).
fof(f1285,plain,
( spl10_157
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_157])]) ).
fof(f2166,plain,
( ! [X0] :
( ~ leq(s(X0),s(host(sK5)))
| leq(X0,s(index(pendack,host(sK6)))) )
| ~ spl10_157
| ~ spl10_235 ),
inference(resolution,[],[f2139,f1286]) ).
fof(f1286,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl10_157 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f11435,plain,
( spl10_536
| ~ spl10_28
| ~ spl10_533 ),
inference(avatar_split_clause,[],[f10391,f10376,f469,f11433]) ).
fof(f11433,plain,
( spl10_536
<=> ! [X0] : pidElem(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_536])]) ).
fof(f469,plain,
( spl10_28
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
fof(f10391,plain,
( ! [X0] : pidElem(X0)
| ~ spl10_28
| ~ spl10_533 ),
inference(superposition,[],[f470,f10377]) ).
fof(f470,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f11344,plain,
( ~ spl10_535
| ~ spl10_263
| spl10_518 ),
inference(avatar_split_clause,[],[f10240,f10236,f2439,f11341]) ).
fof(f11341,plain,
( spl10_535
<=> leq(s(s(s(s(index(pendack,host(sK4)))))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_535])]) ).
fof(f10236,plain,
( spl10_518
<=> leq(s(s(s(s(index(pendack,host(sK6)))))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_518])]) ).
fof(f10240,plain,
( ~ leq(s(s(s(s(index(pendack,host(sK4)))))),s(host(sK5)))
| ~ spl10_263
| spl10_518 ),
inference(forward_demodulation,[],[f10238,f2441]) ).
fof(f10238,plain,
( ~ leq(s(s(s(s(index(pendack,host(sK6)))))),s(host(sK5)))
| spl10_518 ),
inference(avatar_component_clause,[],[f10236]) ).
fof(f11333,plain,
( spl10_252
| ~ spl10_533 ),
inference(avatar_contradiction_clause,[],[f11332]) ).
fof(f11332,plain,
( $false
| spl10_252
| ~ spl10_533 ),
inference(trivial_inequality_removal,[],[f11125]) ).
fof(f11125,plain,
( m_Down(sK4) != m_Down(sK4)
| spl10_252
| ~ spl10_533 ),
inference(superposition,[],[f2348,f10377]) ).
fof(f2348,plain,
( m_Down(sK4) != last(queue(host(sK5)))
| spl10_252 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f10381,plain,
( spl10_533
| spl10_534
| ~ spl10_201
| ~ spl10_364 ),
inference(avatar_split_clause,[],[f5259,f4658,f1714,f10379,f10376]) ).
fof(f10379,plain,
( spl10_534
<=> ! [X0] : elem(m_Down(sK4),cons(X0,queue(host(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_534])]) ).
fof(f1714,plain,
( spl10_201
<=> ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK5)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_201])]) ).
fof(f4658,plain,
( spl10_364
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_364])]) ).
fof(f5259,plain,
( ! [X0,X1] :
( elem(m_Down(sK4),cons(X0,queue(host(sK5))))
| m_Down(sK4) = X1 )
| ~ spl10_201
| ~ spl10_364 ),
inference(resolution,[],[f4659,f1715]) ).
fof(f1715,plain,
( ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK5)),X0))
| ~ spl10_201 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f4659,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X1,snoc(X3,X0))
| elem(X1,cons(X2,X3))
| X0 = X1 )
| ~ spl10_364 ),
inference(avatar_component_clause,[],[f4658]) ).
fof(f10298,plain,
( spl10_531
| spl10_532
| ~ spl10_263
| spl10_264
| ~ spl10_326 ),
inference(avatar_split_clause,[],[f4249,f4124,f2466,f2439,f10295,f10291]) ).
fof(f10291,plain,
( spl10_531
<=> s(host(sK5)) = s(host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_531])]) ).
fof(f4124,plain,
( spl10_326
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_326])]) ).
fof(f4249,plain,
( leq(host(sK4),host(sK5))
| s(host(sK5)) = s(host(sK4))
| ~ spl10_263
| spl10_264
| ~ spl10_326 ),
inference(forward_demodulation,[],[f4248,f2441]) ).
fof(f4248,plain,
( s(host(sK5)) = s(host(sK4))
| leq(host(sK6),host(sK5))
| ~ spl10_263
| spl10_264
| ~ spl10_326 ),
inference(forward_demodulation,[],[f4227,f2441]) ).
fof(f4227,plain,
( s(host(sK5)) = s(host(sK6))
| leq(host(sK6),host(sK5))
| spl10_264
| ~ spl10_326 ),
inference(resolution,[],[f4125,f2468]) ).
fof(f4125,plain,
( ! [X0,X1] :
( leq(s(X1),X0)
| s(X0) = s(X1)
| leq(X0,X1) )
| ~ spl10_326 ),
inference(avatar_component_clause,[],[f4124]) ).
fof(f10289,plain,
( spl10_530
| ~ spl10_172
| ~ spl10_263
| ~ spl10_317 ),
inference(avatar_split_clause,[],[f4032,f3577,f2439,f1409,f10287]) ).
fof(f10287,plain,
( spl10_530
<=> ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_530])]) ).
fof(f4032,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| ~ leq(X0,host(sK5)) )
| ~ spl10_172
| ~ spl10_263
| ~ spl10_317 ),
inference(forward_demodulation,[],[f4005,f2441]) ).
fof(f4005,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK6))))
| ~ leq(X0,host(sK5)) )
| ~ spl10_172
| ~ spl10_317 ),
inference(resolution,[],[f3578,f1411]) ).
fof(f10285,plain,
( spl10_529
| ~ spl10_148
| ~ spl10_263
| ~ spl10_317 ),
inference(avatar_split_clause,[],[f4031,f3577,f2439,f1226,f10283]) ).
fof(f10283,plain,
( spl10_529
<=> ! [X0] :
( ~ leq(X0,host(sK4))
| leq(s(X0),s(index(pendack,host(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_529])]) ).
fof(f4031,plain,
( ! [X0] :
( ~ leq(X0,host(sK4))
| leq(s(X0),s(index(pendack,host(sK4)))) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_317 ),
inference(forward_demodulation,[],[f4030,f2441]) ).
fof(f4030,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| ~ leq(X0,host(sK6)) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_317 ),
inference(forward_demodulation,[],[f4004,f2441]) ).
fof(f4004,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK6))))
| ~ leq(X0,host(sK6)) )
| ~ spl10_148
| ~ spl10_317 ),
inference(resolution,[],[f3578,f1228]) ).
fof(f10281,plain,
( spl10_528
| ~ spl10_148
| ~ spl10_263
| ~ spl10_316 ),
inference(avatar_split_clause,[],[f3978,f3573,f2439,f1226,f10279]) ).
fof(f10279,plain,
( spl10_528
<=> ! [X0] :
( leq(host(sK4),X0)
| leq(s(X0),s(index(pendack,host(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_528])]) ).
fof(f3978,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(s(X0),s(index(pendack,host(sK4)))) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_316 ),
inference(forward_demodulation,[],[f3977,f2441]) ).
fof(f3977,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| leq(host(sK6),X0) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_316 ),
inference(forward_demodulation,[],[f3951,f2441]) ).
fof(f3951,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK6))))
| leq(host(sK6),X0) )
| ~ spl10_148
| ~ spl10_316 ),
inference(resolution,[],[f3574,f1228]) ).
fof(f10277,plain,
( spl10_527
| ~ spl10_172
| ~ spl10_263
| ~ spl10_313 ),
inference(avatar_split_clause,[],[f3892,f3561,f2439,f1409,f10275]) ).
fof(f10275,plain,
( spl10_527
<=> ! [X0] :
( leq(X0,s(s(index(pendack,host(sK4)))))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_527])]) ).
fof(f3892,plain,
( ! [X0] :
( leq(X0,s(s(index(pendack,host(sK4)))))
| ~ leq(X0,host(sK5)) )
| ~ spl10_172
| ~ spl10_263
| ~ spl10_313 ),
inference(forward_demodulation,[],[f3866,f2441]) ).
fof(f3866,plain,
( ! [X0] :
( leq(X0,s(s(index(pendack,host(sK6)))))
| ~ leq(X0,host(sK5)) )
| ~ spl10_172
| ~ spl10_313 ),
inference(resolution,[],[f3562,f1411]) ).
fof(f10273,plain,
( spl10_526
| ~ spl10_148
| ~ spl10_263
| ~ spl10_313 ),
inference(avatar_split_clause,[],[f3891,f3561,f2439,f1226,f10271]) ).
fof(f10271,plain,
( spl10_526
<=> ! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,s(s(index(pendack,host(sK4))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_526])]) ).
fof(f3891,plain,
( ! [X0] :
( ~ leq(X0,host(sK4))
| leq(X0,s(s(index(pendack,host(sK4))))) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_313 ),
inference(forward_demodulation,[],[f3890,f2441]) ).
fof(f3890,plain,
( ! [X0] :
( leq(X0,s(s(index(pendack,host(sK4)))))
| ~ leq(X0,host(sK6)) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_313 ),
inference(forward_demodulation,[],[f3865,f2441]) ).
fof(f3865,plain,
( ! [X0] :
( leq(X0,s(s(index(pendack,host(sK6)))))
| ~ leq(X0,host(sK6)) )
| ~ spl10_148
| ~ spl10_313 ),
inference(resolution,[],[f3562,f1228]) ).
fof(f10269,plain,
( spl10_525
| spl10_36
| ~ spl10_263
| ~ spl10_310 ),
inference(avatar_split_clause,[],[f3783,f3548,f2439,f521,f10267]) ).
fof(f10267,plain,
( spl10_525
<=> ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| leq(s(host(sK4)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_525])]) ).
fof(f521,plain,
( spl10_36
<=> leq(index(pendack,host(sK6)),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_36])]) ).
fof(f3783,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| leq(s(host(sK4)),X0) )
| spl10_36
| ~ spl10_263
| ~ spl10_310 ),
inference(forward_demodulation,[],[f3782,f2441]) ).
fof(f3782,plain,
( ! [X0] :
( leq(s(host(sK4)),X0)
| leq(X0,s(index(pendack,host(sK6)))) )
| spl10_36
| ~ spl10_263
| ~ spl10_310 ),
inference(forward_demodulation,[],[f3726,f2441]) ).
fof(f3726,plain,
( ! [X0] :
( leq(s(host(sK6)),X0)
| leq(X0,s(index(pendack,host(sK6)))) )
| spl10_36
| ~ spl10_310 ),
inference(resolution,[],[f3549,f523]) ).
fof(f523,plain,
( ~ leq(index(pendack,host(sK6)),host(sK6))
| spl10_36 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f10265,plain,
( spl10_524
| spl10_224
| ~ spl10_263
| ~ spl10_310 ),
inference(avatar_split_clause,[],[f3767,f3548,f2439,f2015,f10263]) ).
fof(f10263,plain,
( spl10_524
<=> ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_524])]) ).
fof(f3767,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK4))))
| leq(host(sK5),X0) )
| spl10_224
| ~ spl10_263
| ~ spl10_310 ),
inference(forward_demodulation,[],[f3673,f2441]) ).
fof(f3673,plain,
( ! [X0] :
( leq(s(X0),s(index(pendack,host(sK6))))
| leq(host(sK5),X0) )
| spl10_224
| ~ spl10_310 ),
inference(resolution,[],[f3549,f2017]) ).
fof(f10261,plain,
( spl10_523
| ~ spl10_270
| ~ spl10_303 ),
inference(avatar_split_clause,[],[f3493,f3351,f2593,f10259]) ).
fof(f10259,plain,
( spl10_523
<=> ! [X0] :
( leq(s(host(sK5)),s(X0))
| leq(X0,index(pendack,host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_523])]) ).
fof(f3351,plain,
( spl10_303
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_303])]) ).
fof(f3493,plain,
( ! [X0] :
( leq(s(host(sK5)),s(X0))
| leq(X0,index(pendack,host(sK4))) )
| ~ spl10_270
| ~ spl10_303 ),
inference(resolution,[],[f3352,f2595]) ).
fof(f2595,plain,
( leq(s(host(sK5)),index(pendack,host(sK4)))
| ~ spl10_270 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f3352,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl10_303 ),
inference(avatar_component_clause,[],[f3351]) ).
fof(f10257,plain,
( spl10_522
| spl10_224
| ~ spl10_263
| ~ spl10_296 ),
inference(avatar_split_clause,[],[f3227,f3024,f2439,f2015,f10255]) ).
fof(f10255,plain,
( spl10_522
<=> ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| leq(s(host(sK5)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_522])]) ).
fof(f3227,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| leq(s(host(sK5)),X0) )
| spl10_224
| ~ spl10_263
| ~ spl10_296 ),
inference(forward_demodulation,[],[f3093,f2441]) ).
fof(f3093,plain,
( ! [X0] :
( leq(s(host(sK5)),X0)
| leq(X0,s(index(pendack,host(sK6)))) )
| spl10_224
| ~ spl10_296 ),
inference(resolution,[],[f3025,f2017]) ).
fof(f10253,plain,
( spl10_521
| ~ spl10_216
| ~ spl10_296 ),
inference(avatar_split_clause,[],[f3078,f3024,f1974,f10251]) ).
fof(f10251,plain,
( spl10_521
<=> ! [X0,X1] :
( leq(host(X0),X1)
| leq(X1,host(sK5))
| ~ elem(m_Halt(X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_521])]) ).
fof(f1974,plain,
( spl10_216
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK5),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_216])]) ).
fof(f3078,plain,
( ! [X0,X1] :
( leq(host(X0),X1)
| leq(X1,host(sK5))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl10_216
| ~ spl10_296 ),
inference(resolution,[],[f3025,f1975]) ).
fof(f1975,plain,
( ! [X0] :
( ~ leq(host(sK5),host(X0))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl10_216 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f10249,plain,
( ~ spl10_520
| ~ spl10_27
| ~ spl10_493 ),
inference(avatar_split_clause,[],[f9714,f9633,f465,f10246]) ).
fof(f10246,plain,
( spl10_520
<=> elem(m_Ack(sK4,sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_520])]) ).
fof(f465,plain,
( spl10_27
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).
fof(f9633,plain,
( spl10_493
<=> ! [X0] :
( ~ leq(host(sK4),host(X0))
| ~ elem(m_Ack(X0,sK6),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_493])]) ).
fof(f9714,plain,
( ~ elem(m_Ack(sK4,sK6),sK2)
| ~ spl10_27
| ~ spl10_493 ),
inference(resolution,[],[f9634,f466]) ).
fof(f466,plain,
( ! [X0] : leq(X0,X0)
| ~ spl10_27 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f9634,plain,
( ! [X0] :
( ~ leq(host(sK4),host(X0))
| ~ elem(m_Ack(X0,sK6),sK2) )
| ~ spl10_493 ),
inference(avatar_component_clause,[],[f9633]) ).
fof(f10244,plain,
( spl10_519
| ~ spl10_235
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2528,f2439,f2138,f10242]) ).
fof(f2528,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_235
| ~ spl10_263 ),
inference(superposition,[],[f2139,f2441]) ).
fof(f10239,plain,
( ~ spl10_518
| ~ spl10_235
| ~ spl10_260 ),
inference(avatar_split_clause,[],[f2426,f2408,f2138,f10236]) ).
fof(f2408,plain,
( spl10_260
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_260])]) ).
fof(f2426,plain,
( ~ leq(s(s(s(s(index(pendack,host(sK6)))))),s(host(sK5)))
| ~ spl10_235
| ~ spl10_260 ),
inference(resolution,[],[f2409,f2139]) ).
fof(f2409,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl10_260 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f10233,plain,
( spl10_517
| ~ spl10_157
| ~ spl10_231 ),
inference(avatar_split_clause,[],[f2124,f2112,f1285,f10231]) ).
fof(f10231,plain,
( spl10_517
<=> ! [X0] :
( leq(s(host(sK5)),s(X0))
| leq(X0,index(pendack,host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_517])]) ).
fof(f2124,plain,
( ! [X0] :
( leq(s(host(sK5)),s(X0))
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_157
| ~ spl10_231 ),
inference(resolution,[],[f2113,f1286]) ).
fof(f10018,plain,
( ~ spl10_516
| ~ spl10_27
| ~ spl10_492 ),
inference(avatar_split_clause,[],[f9696,f9629,f465,f10015]) ).
fof(f10015,plain,
( spl10_516
<=> elem(m_Ack(sK6,sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_516])]) ).
fof(f9629,plain,
( spl10_492
<=> ! [X0] :
( ~ leq(host(X0),host(sK4))
| ~ elem(m_Ack(sK6,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_492])]) ).
fof(f9696,plain,
( ~ elem(m_Ack(sK6,sK4),sK2)
| ~ spl10_27
| ~ spl10_492 ),
inference(resolution,[],[f9630,f466]) ).
fof(f9630,plain,
( ! [X0] :
( ~ leq(host(X0),host(sK4))
| ~ elem(m_Ack(sK6,X0),sK2) )
| ~ spl10_492 ),
inference(avatar_component_clause,[],[f9629]) ).
fof(f9905,plain,
( spl10_515
| ~ spl10_263
| ~ spl10_503 ),
inference(avatar_split_clause,[],[f9816,f9812,f2439,f9902]) ).
fof(f9902,plain,
( spl10_515
<=> leq(s(host(sK5)),s(s(s(index(pendack,host(sK4)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_515])]) ).
fof(f9812,plain,
( spl10_503
<=> leq(s(host(sK5)),s(s(s(index(pendack,host(sK6)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_503])]) ).
fof(f9816,plain,
( leq(s(host(sK5)),s(s(s(index(pendack,host(sK4))))))
| ~ spl10_263
| ~ spl10_503 ),
inference(forward_demodulation,[],[f9814,f2441]) ).
fof(f9814,plain,
( leq(s(host(sK5)),s(s(s(index(pendack,host(sK6))))))
| ~ spl10_503 ),
inference(avatar_component_clause,[],[f9812]) ).
fof(f9862,plain,
( ~ spl10_514
| ~ spl10_263
| spl10_501 ),
inference(avatar_split_clause,[],[f9806,f9802,f2439,f9859]) ).
fof(f9859,plain,
( spl10_514
<=> leq(s(s(s(index(pendack,host(sK4))))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_514])]) ).
fof(f9802,plain,
( spl10_501
<=> leq(s(s(s(index(pendack,host(sK6))))),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_501])]) ).
fof(f9806,plain,
( ~ leq(s(s(s(index(pendack,host(sK4))))),s(host(sK5)))
| ~ spl10_263
| spl10_501 ),
inference(forward_demodulation,[],[f9804,f2441]) ).
fof(f9804,plain,
( ~ leq(s(s(s(index(pendack,host(sK6))))),s(host(sK5)))
| spl10_501 ),
inference(avatar_component_clause,[],[f9802]) ).
fof(f9857,plain,
( spl10_513
| ~ spl10_263
| ~ spl10_500 ),
inference(avatar_split_clause,[],[f9800,f9797,f2439,f9855]) ).
fof(f9855,plain,
( spl10_513
<=> ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| ~ leq(s(X0),host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_513])]) ).
fof(f9797,plain,
( spl10_500
<=> ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(s(X0),host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_500])]) ).
fof(f9800,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| ~ leq(s(X0),host(sK5)) )
| ~ spl10_263
| ~ spl10_500 ),
inference(forward_demodulation,[],[f9798,f2441]) ).
fof(f9798,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(s(X0),host(sK5)) )
| ~ spl10_500 ),
inference(avatar_component_clause,[],[f9797]) ).
fof(f9853,plain,
( spl10_512
| ~ spl10_263
| spl10_264
| ~ spl10_310 ),
inference(avatar_split_clause,[],[f3781,f3548,f2466,f2439,f9851]) ).
fof(f9851,plain,
( spl10_512
<=> ! [X0] :
( leq(s(host(sK4)),X0)
| leq(X0,s(s(host(sK5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_512])]) ).
fof(f3781,plain,
( ! [X0] :
( leq(s(host(sK4)),X0)
| leq(X0,s(s(host(sK5)))) )
| ~ spl10_263
| spl10_264
| ~ spl10_310 ),
inference(forward_demodulation,[],[f3723,f2441]) ).
fof(f3723,plain,
( ! [X0] :
( leq(s(host(sK6)),X0)
| leq(X0,s(s(host(sK5)))) )
| spl10_264
| ~ spl10_310 ),
inference(resolution,[],[f3549,f2468]) ).
fof(f9849,plain,
( spl10_511
| spl10_268
| ~ spl10_310 ),
inference(avatar_split_clause,[],[f3678,f3548,f2506,f9847]) ).
fof(f9847,plain,
( spl10_511
<=> ! [X0] :
( leq(s(X0),index(pendack,host(sK4)))
| leq(host(sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_511])]) ).
fof(f3678,plain,
( ! [X0] :
( leq(s(X0),index(pendack,host(sK4)))
| leq(host(sK5),X0) )
| spl10_268
| ~ spl10_310 ),
inference(resolution,[],[f3549,f2508]) ).
fof(f9845,plain,
( ~ spl10_510
| spl10_252
| ~ spl10_495 ),
inference(avatar_split_clause,[],[f9645,f9641,f2347,f9842]) ).
fof(f9645,plain,
( m_Down(sK4) != last(sK2)
| spl10_252
| ~ spl10_495 ),
inference(superposition,[],[f2348,f9643]) ).
fof(f9840,plain,
( spl10_509
| ~ spl10_148
| ~ spl10_263
| ~ spl10_303 ),
inference(avatar_split_clause,[],[f3503,f3351,f2439,f1226,f9838]) ).
fof(f9838,plain,
( spl10_509
<=> ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| leq(host(sK4),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_509])]) ).
fof(f3503,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| leq(host(sK4),s(X0)) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_303 ),
inference(forward_demodulation,[],[f3502,f2441]) ).
fof(f3502,plain,
( ! [X0] :
( leq(host(sK4),s(X0))
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_303 ),
inference(forward_demodulation,[],[f3477,f2441]) ).
fof(f3477,plain,
( ! [X0] :
( leq(host(sK6),s(X0))
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_148
| ~ spl10_303 ),
inference(resolution,[],[f3352,f1228]) ).
fof(f9836,plain,
( spl10_508
| ~ spl10_148
| ~ spl10_263
| ~ spl10_302 ),
inference(avatar_split_clause,[],[f3455,f3347,f2439,f1226,f9834]) ).
fof(f9834,plain,
( spl10_508
<=> ! [X0] :
( leq(host(sK4),X0)
| leq(X0,s(index(pendack,host(sK4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_508])]) ).
fof(f3347,plain,
( spl10_302
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_302])]) ).
fof(f3455,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(X0,s(index(pendack,host(sK4)))) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_302 ),
inference(forward_demodulation,[],[f3454,f2441]) ).
fof(f3454,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK4))))
| leq(host(sK6),X0) )
| ~ spl10_148
| ~ spl10_263
| ~ spl10_302 ),
inference(forward_demodulation,[],[f3430,f2441]) ).
fof(f3430,plain,
( ! [X0] :
( leq(X0,s(index(pendack,host(sK6))))
| leq(host(sK6),X0) )
| ~ spl10_148
| ~ spl10_302 ),
inference(resolution,[],[f3348,f1228]) ).
fof(f3348,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X1,s(X2))
| leq(X0,X1) )
| ~ spl10_302 ),
inference(avatar_component_clause,[],[f3347]) ).
fof(f9832,plain,
( spl10_507
| ~ spl10_234
| ~ spl10_263
| ~ spl10_297 ),
inference(avatar_split_clause,[],[f3298,f3028,f2439,f2134,f9830]) ).
fof(f9830,plain,
( spl10_507
<=> ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| ~ leq(s(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_507])]) ).
fof(f2134,plain,
( spl10_234
<=> ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(s(X0),s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_234])]) ).
fof(f3298,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| ~ leq(s(X0),s(zero)) )
| ~ spl10_234
| ~ spl10_263
| ~ spl10_297 ),
inference(forward_demodulation,[],[f3269,f2441]) ).
fof(f3269,plain,
( ! [X0] :
( ~ leq(s(X0),s(zero))
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_234
| ~ spl10_297 ),
inference(resolution,[],[f3029,f2135]) ).
fof(f2135,plain,
( ! [X0] :
( ~ leq(s(X0),s(host(sK5)))
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_234 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f9828,plain,
( spl10_506
| ~ spl10_234
| ~ spl10_263
| ~ spl10_272 ),
inference(avatar_split_clause,[],[f2675,f2614,f2439,f2134,f9826]) ).
fof(f9826,plain,
( spl10_506
<=> ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| leq(host(sK5),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_506])]) ).
fof(f2675,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| leq(host(sK5),s(X0)) )
| ~ spl10_234
| ~ spl10_263
| ~ spl10_272 ),
inference(forward_demodulation,[],[f2650,f2441]) ).
fof(f2650,plain,
( ! [X0] :
( leq(host(sK5),s(X0))
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_234
| ~ spl10_272 ),
inference(resolution,[],[f2615,f2135]) ).
fof(f9824,plain,
( spl10_505
| ~ spl10_231
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2527,f2439,f2112,f9822]) ).
fof(f2527,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| leq(s(host(sK5)),X0) )
| ~ spl10_231
| ~ spl10_263 ),
inference(superposition,[],[f2113,f2441]) ).
fof(f9820,plain,
( spl10_504
| ~ spl10_134
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2519,f2439,f1130,f9818]) ).
fof(f2519,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK4)))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_134
| ~ spl10_263 ),
inference(superposition,[],[f1131,f2441]) ).
fof(f9815,plain,
( spl10_503
| ~ spl10_231
| ~ spl10_260 ),
inference(avatar_split_clause,[],[f2427,f2408,f2112,f9812]) ).
fof(f2427,plain,
( leq(s(host(sK5)),s(s(s(index(pendack,host(sK6))))))
| ~ spl10_231
| ~ spl10_260 ),
inference(resolution,[],[f2409,f2113]) ).
fof(f9810,plain,
( spl10_502
| ~ spl10_65
| ~ spl10_245 ),
inference(avatar_split_clause,[],[f2271,f2244,f652,f9808]) ).
fof(f9808,plain,
( spl10_502
<=> ! [X0,X1] : m_Down(sK4) = head(snoc(snoc(queue(host(sK5)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_502])]) ).
fof(f652,plain,
( spl10_65
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_65])]) ).
fof(f2244,plain,
( spl10_245
<=> ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK5)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_245])]) ).
fof(f2271,plain,
( ! [X0,X1] : m_Down(sK4) = head(snoc(snoc(queue(host(sK5)),X0),X1))
| ~ spl10_65
| ~ spl10_245 ),
inference(superposition,[],[f653,f2245]) ).
fof(f2245,plain,
( ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK5)),X0),X1)
| ~ spl10_245 ),
inference(avatar_component_clause,[],[f2244]) ).
fof(f653,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl10_65 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f9805,plain,
( ~ spl10_501
| ~ spl10_146
| ~ spl10_235 ),
inference(avatar_split_clause,[],[f2158,f2138,f1211,f9802]) ).
fof(f2158,plain,
( ~ leq(s(s(s(index(pendack,host(sK6))))),s(host(sK5)))
| ~ spl10_146
| ~ spl10_235 ),
inference(resolution,[],[f2139,f1212]) ).
fof(f9799,plain,
( spl10_500
| ~ spl10_86
| ~ spl10_234 ),
inference(avatar_split_clause,[],[f2149,f2134,f763,f9797]) ).
fof(f2149,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(s(X0),host(sK5)) )
| ~ spl10_86
| ~ spl10_234 ),
inference(resolution,[],[f2135,f764]) ).
fof(f9794,plain,
( spl10_499
| ~ spl10_172
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1497,f1446,f1409,f9792]) ).
fof(f9792,plain,
( spl10_499
<=> ! [X0] :
( ~ leq(X0,host(sK5))
| leq(X0,s(index(pendack,host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_499])]) ).
fof(f1446,plain,
( spl10_175
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_175])]) ).
fof(f1497,plain,
( ! [X0] :
( ~ leq(X0,host(sK5))
| leq(X0,s(index(pendack,host(sK6)))) )
| ~ spl10_172
| ~ spl10_175 ),
inference(resolution,[],[f1447,f1411]) ).
fof(f1447,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl10_175 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f9788,plain,
( spl10_498
| ~ spl10_148
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1496,f1446,f1226,f9786]) ).
fof(f9786,plain,
( spl10_498
<=> ! [X0] :
( ~ leq(X0,host(sK6))
| leq(X0,s(index(pendack,host(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_498])]) ).
fof(f1496,plain,
( ! [X0] :
( ~ leq(X0,host(sK6))
| leq(X0,s(index(pendack,host(sK6)))) )
| ~ spl10_148
| ~ spl10_175 ),
inference(resolution,[],[f1447,f1228]) ).
fof(f9663,plain,
( spl10_497
| ~ spl10_263
| ~ spl10_487 ),
inference(avatar_split_clause,[],[f9610,f9606,f2439,f9660]) ).
fof(f9660,plain,
( spl10_497
<=> leq(s(host(sK5)),s(s(index(pendack,host(sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_497])]) ).
fof(f9606,plain,
( spl10_487
<=> leq(s(host(sK5)),s(s(index(pendack,host(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_487])]) ).
fof(f9610,plain,
( leq(s(host(sK5)),s(s(index(pendack,host(sK4)))))
| ~ spl10_263
| ~ spl10_487 ),
inference(forward_demodulation,[],[f9608,f2441]) ).
fof(f9608,plain,
( leq(s(host(sK5)),s(s(index(pendack,host(sK6)))))
| ~ spl10_487 ),
inference(avatar_component_clause,[],[f9606]) ).
fof(f9658,plain,
( spl10_496
| ~ spl10_251
| ~ spl10_495 ),
inference(avatar_split_clause,[],[f9646,f9641,f2343,f9655]) ).
fof(f9655,plain,
( spl10_496
<=> elem(last(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_496])]) ).
fof(f2343,plain,
( spl10_251
<=> elem(last(queue(host(sK5))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_251])]) ).
fof(f9646,plain,
( elem(last(sK2),sK2)
| ~ spl10_251
| ~ spl10_495 ),
inference(superposition,[],[f2345,f9643]) ).
fof(f2345,plain,
( elem(last(queue(host(sK5))),sK2)
| ~ spl10_251 ),
inference(avatar_component_clause,[],[f2343]) ).
fof(f9644,plain,
( spl10_474
| spl10_495
| ~ spl10_13
| ~ spl10_300 ),
inference(avatar_split_clause,[],[f3376,f3339,f397,f9641,f9306]) ).
fof(f9306,plain,
( spl10_474
<=> q_nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_474])]) ).
fof(f3339,plain,
( spl10_300
<=> ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_300])]) ).
fof(f3376,plain,
( last(queue(host(sK5))) = last(sK2)
| q_nil = sK2
| ~ spl10_13
| ~ spl10_300 ),
inference(superposition,[],[f3340,f399]) ).
fof(f3340,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl10_300 ),
inference(avatar_component_clause,[],[f3339]) ).
fof(f9639,plain,
( spl10_494
| spl10_269
| ~ spl10_296 ),
inference(avatar_split_clause,[],[f3085,f3024,f2586,f9637]) ).
fof(f9637,plain,
( spl10_494
<=> ! [X0] :
( leq(host(sK5),X0)
| leq(X0,index(pendack,host(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_494])]) ).
fof(f3085,plain,
( ! [X0] :
( leq(host(sK5),X0)
| leq(X0,index(pendack,host(sK4))) )
| spl10_269
| ~ spl10_296 ),
inference(resolution,[],[f3025,f2588]) ).
fof(f9635,plain,
( spl10_493
| ~ spl10_226
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2571,f2439,f2061,f9633]) ).
fof(f2571,plain,
( ! [X0] :
( ~ leq(host(sK4),host(X0))
| ~ elem(m_Ack(X0,sK6),sK2) )
| ~ spl10_226
| ~ spl10_263 ),
inference(superposition,[],[f2062,f2441]) ).
fof(f9631,plain,
( spl10_492
| ~ spl10_226
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2570,f2439,f2061,f9629]) ).
fof(f2570,plain,
( ! [X0] :
( ~ leq(host(X0),host(sK4))
| ~ elem(m_Ack(sK6,X0),sK2) )
| ~ spl10_226
| ~ spl10_263 ),
inference(superposition,[],[f2062,f2441]) ).
fof(f9627,plain,
( spl10_490
| spl10_491
| ~ spl10_113
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2553,f2439,f948,f9625,f9621]) ).
fof(f9621,plain,
( spl10_490
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_490])]) ).
fof(f9625,plain,
( spl10_491
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_491])]) ).
fof(f948,plain,
( spl10_113
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_113])]) ).
fof(f2553,plain,
( ! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(host(sK4)))
| setIn(sK6,pids) )
| ~ spl10_113
| ~ spl10_263 ),
inference(superposition,[],[f949,f2441]) ).
fof(f949,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl10_113 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f9619,plain,
( ~ spl10_489
| spl10_230
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2526,f2439,f2078,f9616]) ).
fof(f2526,plain,
( ~ leq(s(s(index(pendack,host(sK4)))),s(host(sK5)))
| spl10_230
| ~ spl10_263 ),
inference(superposition,[],[f2080,f2441]) ).
fof(f9614,plain,
( spl10_488
| ~ spl10_62
| ~ spl10_245 ),
inference(avatar_split_clause,[],[f2270,f2244,f634,f9612]) ).
fof(f9612,plain,
( spl10_488
<=> ! [X0,X1] : elem(m_Down(sK4),snoc(snoc(queue(host(sK5)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_488])]) ).
fof(f634,plain,
( spl10_62
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_62])]) ).
fof(f2270,plain,
( ! [X0,X1] : elem(m_Down(sK4),snoc(snoc(queue(host(sK5)),X0),X1))
| ~ spl10_62
| ~ spl10_245 ),
inference(superposition,[],[f635,f2245]) ).
fof(f635,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl10_62 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f9609,plain,
( spl10_487
| ~ spl10_69
| spl10_230 ),
inference(avatar_split_clause,[],[f2109,f2078,f668,f9606]) ).
fof(f2109,plain,
( leq(s(host(sK5)),s(s(index(pendack,host(sK6)))))
| ~ spl10_69
| spl10_230 ),
inference(resolution,[],[f2080,f669]) ).
fof(f9604,plain,
( spl10_486
| ~ spl10_69
| ~ spl10_226 ),
inference(avatar_split_clause,[],[f2083,f2061,f668,f9602]) ).
fof(f9602,plain,
( spl10_486
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| leq(host(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_486])]) ).
fof(f2083,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| leq(host(X0),host(X1)) )
| ~ spl10_69
| ~ spl10_226 ),
inference(resolution,[],[f2062,f669]) ).
fof(f9599,plain,
( spl10_485
| ~ spl10_110
| ~ spl10_172 ),
inference(avatar_split_clause,[],[f1462,f1409,f912,f9597]) ).
fof(f9597,plain,
( spl10_485
<=> ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_485])]) ).
fof(f912,plain,
( spl10_110
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_110])]) ).
fof(f1462,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,host(sK5)) )
| ~ spl10_110
| ~ spl10_172 ),
inference(resolution,[],[f1411,f913]) ).
fof(f913,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl10_110 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f9594,plain,
( spl10_484
| ~ spl10_172
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1461,f1425,f1409,f9592]) ).
fof(f9592,plain,
( spl10_484
<=> ! [X0] :
( leq(host(sK5),X0)
| leq(X0,index(pendack,host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_484])]) ).
fof(f1425,plain,
( spl10_173
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_173])]) ).
fof(f1461,plain,
( ! [X0] :
( leq(host(sK5),X0)
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_172
| ~ spl10_173 ),
inference(resolution,[],[f1411,f1426]) ).
fof(f1426,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl10_173 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f9588,plain,
( spl10_483
| ~ spl10_148
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1440,f1425,f1226,f9586]) ).
fof(f9586,plain,
( spl10_483
<=> ! [X0] :
( leq(host(sK6),X0)
| leq(X0,index(pendack,host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_483])]) ).
fof(f1440,plain,
( ! [X0] :
( leq(host(sK6),X0)
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_148
| ~ spl10_173 ),
inference(resolution,[],[f1426,f1228]) ).
fof(f9582,plain,
( spl10_482
| ~ spl10_110
| ~ spl10_148 ),
inference(avatar_split_clause,[],[f1308,f1226,f912,f9580]) ).
fof(f9580,plain,
( spl10_482
<=> ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,host(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_482])]) ).
fof(f1308,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,host(sK6)) )
| ~ spl10_110
| ~ spl10_148 ),
inference(resolution,[],[f1228,f913]) ).
fof(f9471,plain,
( ~ spl10_481
| ~ spl10_131
| spl10_471 ),
inference(avatar_split_clause,[],[f9294,f9290,f1110,f9468]) ).
fof(f9468,plain,
( spl10_481
<=> elem(m_Down(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_481])]) ).
fof(f1110,plain,
( spl10_131
<=> ! [X0] :
( elem(X0,queue(host(sK5)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_131])]) ).
fof(f9290,plain,
( spl10_471
<=> elem(m_Down(sK6),queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_471])]) ).
fof(f9294,plain,
( ~ elem(m_Down(sK6),sK2)
| ~ spl10_131
| spl10_471 ),
inference(resolution,[],[f9292,f1111]) ).
fof(f1111,plain,
( ! [X0] :
( elem(X0,queue(host(sK5)))
| ~ elem(X0,sK2) )
| ~ spl10_131 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f9292,plain,
( ~ elem(m_Down(sK6),queue(host(sK5)))
| spl10_471 ),
inference(avatar_component_clause,[],[f9290]) ).
fof(f9358,plain,
( ~ spl10_480
| ~ spl10_263
| spl10_468 ),
inference(avatar_split_clause,[],[f9277,f9273,f2439,f9355]) ).
fof(f9355,plain,
( spl10_480
<=> leq(s(s(index(pendack,host(sK4)))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_480])]) ).
fof(f9273,plain,
( spl10_468
<=> leq(s(s(index(pendack,host(sK6)))),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_468])]) ).
fof(f9277,plain,
( ~ leq(s(s(index(pendack,host(sK4)))),host(sK5))
| ~ spl10_263
| spl10_468 ),
inference(forward_demodulation,[],[f9275,f2441]) ).
fof(f9275,plain,
( ~ leq(s(s(index(pendack,host(sK6)))),host(sK5))
| spl10_468 ),
inference(avatar_component_clause,[],[f9273]) ).
fof(f9353,plain,
( spl10_479
| ~ spl10_263
| ~ spl10_467 ),
inference(avatar_split_clause,[],[f9271,f9267,f2439,f9350]) ).
fof(f9350,plain,
( spl10_479
<=> leq(s(host(sK5)),s(index(pendack,host(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_479])]) ).
fof(f9267,plain,
( spl10_467
<=> leq(s(host(sK5)),s(index(pendack,host(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_467])]) ).
fof(f9271,plain,
( leq(s(host(sK5)),s(index(pendack,host(sK4))))
| ~ spl10_263
| ~ spl10_467 ),
inference(forward_demodulation,[],[f9269,f2441]) ).
fof(f9269,plain,
( leq(s(host(sK5)),s(index(pendack,host(sK6))))
| ~ spl10_467 ),
inference(avatar_component_clause,[],[f9267]) ).
fof(f9327,plain,
( spl10_478
| ~ spl10_263
| spl10_264
| ~ spl10_310 ),
inference(avatar_split_clause,[],[f3758,f3548,f2466,f2439,f9325]) ).
fof(f9325,plain,
( spl10_478
<=> ! [X0] :
( leq(host(sK4),s(X0))
| leq(X0,host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_478])]) ).
fof(f3758,plain,
( ! [X0] :
( leq(host(sK4),s(X0))
| leq(X0,host(sK5)) )
| ~ spl10_263
| spl10_264
| ~ spl10_310 ),
inference(forward_demodulation,[],[f3644,f2441]) ).
fof(f3644,plain,
( ! [X0] :
( leq(host(sK6),s(X0))
| leq(X0,host(sK5)) )
| spl10_264
| ~ spl10_310 ),
inference(resolution,[],[f3549,f2468]) ).
fof(f9323,plain,
( ~ spl10_477
| spl10_230
| ~ spl10_263
| ~ spl10_297 ),
inference(avatar_split_clause,[],[f3297,f3028,f2439,f2078,f9320]) ).
fof(f9320,plain,
( spl10_477
<=> leq(s(s(index(pendack,host(sK4)))),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_477])]) ).
fof(f3297,plain,
( ~ leq(s(s(index(pendack,host(sK4)))),s(zero))
| spl10_230
| ~ spl10_263
| ~ spl10_297 ),
inference(forward_demodulation,[],[f3268,f2441]) ).
fof(f3268,plain,
( ~ leq(s(s(index(pendack,host(sK6)))),s(zero))
| spl10_230
| ~ spl10_297 ),
inference(resolution,[],[f3029,f2080]) ).
fof(f9318,plain,
( spl10_476
| ~ spl10_263
| spl10_264
| ~ spl10_296 ),
inference(avatar_split_clause,[],[f3223,f3024,f2466,f2439,f9316]) ).
fof(f9316,plain,
( spl10_476
<=> ! [X0] :
( leq(host(sK4),X0)
| leq(X0,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_476])]) ).
fof(f3223,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(X0,s(host(sK5))) )
| ~ spl10_263
| spl10_264
| ~ spl10_296 ),
inference(forward_demodulation,[],[f3081,f2441]) ).
fof(f3081,plain,
( ! [X0] :
( leq(host(sK6),X0)
| leq(X0,s(host(sK5))) )
| spl10_264
| ~ spl10_296 ),
inference(resolution,[],[f3025,f2468]) ).
fof(f9313,plain,
( spl10_474
| spl10_475
| ~ spl10_13
| ~ spl10_294 ),
inference(avatar_split_clause,[],[f3045,f3016,f397,f9310,f9306]) ).
fof(f9310,plain,
( spl10_475
<=> elem(last(sK2),queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_475])]) ).
fof(f3016,plain,
( spl10_294
<=> ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_294])]) ).
fof(f3045,plain,
( elem(last(sK2),queue(host(sK5)))
| q_nil = sK2
| ~ spl10_13
| ~ spl10_294 ),
inference(superposition,[],[f3017,f399]) ).
fof(f3017,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl10_294 ),
inference(avatar_component_clause,[],[f3016]) ).
fof(f9304,plain,
( spl10_473
| spl10_230
| ~ spl10_263
| ~ spl10_272 ),
inference(avatar_split_clause,[],[f2674,f2614,f2439,f2078,f9301]) ).
fof(f9301,plain,
( spl10_473
<=> leq(host(sK5),s(s(index(pendack,host(sK4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_473])]) ).
fof(f2674,plain,
( leq(host(sK5),s(s(index(pendack,host(sK4)))))
| spl10_230
| ~ spl10_263
| ~ spl10_272 ),
inference(forward_demodulation,[],[f2649,f2441]) ).
fof(f2649,plain,
( leq(host(sK5),s(s(index(pendack,host(sK6)))))
| spl10_230
| ~ spl10_272 ),
inference(resolution,[],[f2615,f2080]) ).
fof(f9299,plain,
( ~ spl10_472
| spl10_224
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2525,f2439,f2015,f9296]) ).
fof(f2525,plain,
( ~ leq(s(index(pendack,host(sK4))),s(host(sK5)))
| spl10_224
| ~ spl10_263 ),
inference(superposition,[],[f2017,f2441]) ).
fof(f9293,plain,
( ~ spl10_471
| ~ spl10_2
| spl10_155
| ~ spl10_247 ),
inference(avatar_split_clause,[],[f2305,f2252,f1269,f340,f9290]) ).
fof(f1269,plain,
( spl10_155
<=> leq(index(pendack,host(sK6)),host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_155])]) ).
fof(f2305,plain,
( ~ setIn(sK5,alive)
| ~ elem(m_Down(sK6),queue(host(sK5)))
| spl10_155
| ~ spl10_247 ),
inference(resolution,[],[f2253,f1271]) ).
fof(f1271,plain,
( ~ leq(index(pendack,host(sK6)),host(sK5))
| spl10_155 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f9288,plain,
( ~ spl10_470
| ~ spl10_263
| spl10_469 ),
inference(avatar_split_clause,[],[f9283,f9279,f2439,f9285]) ).
fof(f9285,plain,
( spl10_470
<=> elem(m_Down(sK6),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_470])]) ).
fof(f9279,plain,
( spl10_469
<=> elem(m_Down(sK6),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_469])]) ).
fof(f9283,plain,
( ~ elem(m_Down(sK6),queue(host(sK4)))
| ~ spl10_263
| spl10_469 ),
inference(forward_demodulation,[],[f9281,f2441]) ).
fof(f9281,plain,
( ~ elem(m_Down(sK6),queue(host(sK6)))
| spl10_469 ),
inference(avatar_component_clause,[],[f9279]) ).
fof(f9282,plain,
( ~ spl10_469
| ~ spl10_3
| spl10_36
| ~ spl10_247 ),
inference(avatar_split_clause,[],[f2304,f2252,f521,f345,f9279]) ).
fof(f345,plain,
( spl10_3
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f2304,plain,
( ~ setIn(sK6,alive)
| ~ elem(m_Down(sK6),queue(host(sK6)))
| spl10_36
| ~ spl10_247 ),
inference(resolution,[],[f2253,f523]) ).
fof(f9276,plain,
( ~ spl10_468
| ~ spl10_86
| spl10_230 ),
inference(avatar_split_clause,[],[f2108,f2078,f763,f9273]) ).
fof(f2108,plain,
( ~ leq(s(s(index(pendack,host(sK6)))),host(sK5))
| ~ spl10_86
| spl10_230 ),
inference(resolution,[],[f2080,f764]) ).
fof(f9270,plain,
( spl10_467
| ~ spl10_69
| spl10_224 ),
inference(avatar_split_clause,[],[f2048,f2015,f668,f9267]) ).
fof(f2048,plain,
( leq(s(host(sK5)),s(index(pendack,host(sK6))))
| ~ spl10_69
| spl10_224 ),
inference(resolution,[],[f2017,f669]) ).
fof(f9265,plain,
( ~ spl10_466
| spl10_249
| ~ spl10_263
| ~ spl10_278 ),
inference(avatar_split_clause,[],[f2785,f2638,f2439,f2318,f9262]) ).
fof(f9262,plain,
( spl10_466
<=> leq(s(index(pendack,host(sK4))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_466])]) ).
fof(f2638,plain,
( spl10_278
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_278])]) ).
fof(f2785,plain,
( ~ leq(s(index(pendack,host(sK4))),zero)
| spl10_249
| ~ spl10_263
| ~ spl10_278 ),
inference(forward_demodulation,[],[f2764,f2441]) ).
fof(f2764,plain,
( ~ leq(s(index(pendack,host(sK6))),zero)
| spl10_249
| ~ spl10_278 ),
inference(resolution,[],[f2639,f2320]) ).
fof(f2639,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl10_278 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f9260,plain,
( spl10_465
| ~ spl10_69
| ~ spl10_216 ),
inference(avatar_split_clause,[],[f2039,f1974,f668,f9258]) ).
fof(f2039,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| leq(host(X0),host(sK5)) )
| ~ spl10_69
| ~ spl10_216 ),
inference(resolution,[],[f1975,f669]) ).
fof(f9130,plain,
( ~ spl10_464
| spl10_224
| ~ spl10_263
| ~ spl10_297 ),
inference(avatar_split_clause,[],[f3296,f3028,f2439,f2015,f9127]) ).
fof(f9127,plain,
( spl10_464
<=> leq(s(index(pendack,host(sK4))),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_464])]) ).
fof(f3296,plain,
( ~ leq(s(index(pendack,host(sK4))),s(zero))
| spl10_224
| ~ spl10_263
| ~ spl10_297 ),
inference(forward_demodulation,[],[f3267,f2441]) ).
fof(f3267,plain,
( ~ leq(s(index(pendack,host(sK6))),s(zero))
| spl10_224
| ~ spl10_297 ),
inference(resolution,[],[f3029,f2017]) ).
fof(f9125,plain,
( spl10_463
| spl10_7
| ~ spl10_263
| ~ spl10_296 ),
inference(avatar_split_clause,[],[f3221,f3024,f2439,f366,f9123]) ).
fof(f3221,plain,
( ! [X0] :
( leq(host(sK4),X0)
| leq(X0,host(sK5)) )
| spl10_7
| ~ spl10_263
| ~ spl10_296 ),
inference(forward_demodulation,[],[f3076,f2441]) ).
fof(f3076,plain,
( ! [X0] :
( leq(host(sK6),X0)
| leq(X0,host(sK5)) )
| spl10_7
| ~ spl10_296 ),
inference(resolution,[],[f3025,f368]) ).
fof(f9121,plain,
( spl10_462
| ~ spl10_270
| ~ spl10_280 ),
inference(avatar_split_clause,[],[f2836,f2790,f2593,f9118]) ).
fof(f2836,plain,
( leq(host(sK5),s(index(pendack,host(sK4))))
| ~ spl10_270
| ~ spl10_280 ),
inference(resolution,[],[f2791,f2595]) ).
fof(f8804,plain,
( spl10_461
| ~ spl10_208
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1950,f1894,f1850,f8802]) ).
fof(f8802,plain,
( spl10_461
<=> ! [X4,X0,X3,X2,X1] :
( sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_461])]) ).
fof(f1850,plain,
( spl10_208
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_208])]) ).
fof(f1894,plain,
( spl10_212
<=> ! [X2,X0,X1] :
( sK9(X0,cons(X1,X2)) = X1
| elem(sK9(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_212])]) ).
fof(f1950,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP1(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK9(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl10_208
| ~ spl10_212 ),
inference(resolution,[],[f1895,f1851]) ).
fof(f1851,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl10_208 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f1895,plain,
( ! [X2,X0,X1] :
( elem(sK9(X0,cons(X1,X2)),X2)
| sK9(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl10_212 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f8800,plain,
( spl10_460
| ~ spl10_208
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1939,f1889,f1850,f8798]) ).
fof(f8798,plain,
( spl10_460
<=> ! [X4,X0,X3,X2,X1] :
( sK8(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK8(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK8(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_460])]) ).
fof(f1889,plain,
( spl10_211
<=> ! [X2,X0,X1] :
( sK8(X0,cons(X1,X2)) = X1
| elem(sK8(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_211])]) ).
fof(f1939,plain,
( ! [X2,X3,X0,X1,X4] :
( sK8(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X1
| sP0(X0,cons(X1,cons(X2,snoc(X3,X4))))
| sK8(X0,cons(X1,cons(X2,snoc(X3,X4)))) = X4
| elem(sK8(X0,cons(X1,cons(X2,snoc(X3,X4)))),cons(X2,X3)) )
| ~ spl10_208
| ~ spl10_211 ),
inference(resolution,[],[f1890,f1851]) ).
fof(f1890,plain,
( ! [X2,X0,X1] :
( elem(sK8(X0,cons(X1,X2)),X2)
| sK8(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl10_211 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f8796,plain,
( spl10_459
| ~ spl10_121
| ~ spl10_208
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1934,f1885,f1850,f1013,f8794]) ).
fof(f8794,plain,
( spl10_459
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_459])]) ).
fof(f1013,plain,
( spl10_121
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_121])]) ).
fof(f1885,plain,
( spl10_210
<=> ! [X2,X0,X1] :
( sK9(X0,snoc(X1,X2)) = X2
| elem(sK9(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_210])]) ).
fof(f1934,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1933,f1014]) ).
fof(f1014,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl10_121 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1933,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1932,f1014]) ).
fof(f1932,plain,
( ! [X2,X3,X0,X1,X4] :
( sP1(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1931,f1014]) ).
fof(f1931,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1919,f1014]) ).
fof(f1919,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP1(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK9(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_208
| ~ spl10_210 ),
inference(resolution,[],[f1886,f1851]) ).
fof(f1886,plain,
( ! [X2,X0,X1] :
( elem(sK9(X0,snoc(X1,X2)),X1)
| sK9(X0,snoc(X1,X2)) = X2
| sP1(X0,snoc(X1,X2)) )
| ~ spl10_210 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f8792,plain,
( spl10_458
| ~ spl10_121
| ~ spl10_208
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1914,f1881,f1850,f1013,f8790]) ).
fof(f8790,plain,
( spl10_458
<=> ! [X4,X0,X3,X2,X1] :
( elem(sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_458])]) ).
fof(f1881,plain,
( spl10_209
<=> ! [X2,X0,X1] :
( sK8(X0,snoc(X1,X2)) = X2
| elem(sK8(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_209])]) ).
fof(f1914,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))),cons(X1,X2))
| sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4 )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1913,f1014]) ).
fof(f1913,plain,
( ! [X2,X3,X0,X1,X4] :
( sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X3
| sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| elem(sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1912,f1014]) ).
fof(f1912,plain,
( ! [X2,X3,X0,X1,X4] :
( sP0(X0,cons(X1,snoc(snoc(X2,X3),X4)))
| sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1911,f1014]) ).
fof(f1911,plain,
( ! [X2,X3,X0,X1,X4] :
( sK8(X0,cons(X1,snoc(snoc(X2,X3),X4))) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_121
| ~ spl10_208
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1899,f1014]) ).
fof(f1899,plain,
( ! [X2,X3,X0,X1,X4] :
( sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X4
| sP0(X0,snoc(cons(X1,snoc(X2,X3)),X4))
| sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)) = X3
| elem(sK8(X0,snoc(cons(X1,snoc(X2,X3)),X4)),cons(X1,X2)) )
| ~ spl10_208
| ~ spl10_209 ),
inference(resolution,[],[f1882,f1851]) ).
fof(f1882,plain,
( ! [X2,X0,X1] :
( elem(sK8(X0,snoc(X1,X2)),X1)
| sK8(X0,snoc(X1,X2)) = X2
| sP0(X0,snoc(X1,X2)) )
| ~ spl10_209 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f8266,plain,
( spl10_457
| ~ spl10_199
| ~ spl10_214 ),
inference(avatar_split_clause,[],[f1968,f1964,f1706,f8264]) ).
fof(f8264,plain,
( spl10_457
<=> ! [X0] :
( sK9(last(X0),init(X0)) = m_Down(sK7(sK9(last(X0),init(X0))))
| sK9(last(X0),init(X0)) = m_Halt(sK7(sK9(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_457])]) ).
fof(f1706,plain,
( spl10_199
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_199])]) ).
fof(f1964,plain,
( spl10_214
<=> ! [X0,X1] :
( sK9(X0,X1) = m_Halt(sK7(sK9(X0,X1)))
| sK9(X0,X1) = m_Down(sK7(sK9(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_214])]) ).
fof(f1968,plain,
( ! [X0] :
( sK9(last(X0),init(X0)) = m_Down(sK7(sK9(last(X0),init(X0))))
| sK9(last(X0),init(X0)) = m_Halt(sK7(sK9(last(X0),init(X0))))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl10_199
| ~ spl10_214 ),
inference(resolution,[],[f1965,f1707]) ).
fof(f1707,plain,
( ! [X0] :
( ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl10_199 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f1965,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| sK9(X0,X1) = m_Down(sK7(sK9(X0,X1)))
| sK9(X0,X1) = m_Halt(sK7(sK9(X0,X1))) )
| ~ spl10_214 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f8262,plain,
( spl10_456
| ~ spl10_200
| ~ spl10_213 ),
inference(avatar_split_clause,[],[f1967,f1960,f1710,f8260]) ).
fof(f8260,plain,
( spl10_456
<=> ! [X0] :
( sK8(head(X0),tail(X0)) = m_Down(sK7(sK8(head(X0),tail(X0))))
| sK8(head(X0),tail(X0)) = m_Halt(sK7(sK8(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_456])]) ).
fof(f1710,plain,
( spl10_200
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_200])]) ).
fof(f1960,plain,
( spl10_213
<=> ! [X0,X1] :
( sK8(X0,X1) = m_Halt(sK7(sK8(X0,X1)))
| sK8(X0,X1) = m_Down(sK7(sK8(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_213])]) ).
fof(f1967,plain,
( ! [X0] :
( sK8(head(X0),tail(X0)) = m_Down(sK7(sK8(head(X0),tail(X0))))
| sK8(head(X0),tail(X0)) = m_Halt(sK7(sK8(head(X0),tail(X0))))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl10_200
| ~ spl10_213 ),
inference(resolution,[],[f1961,f1711]) ).
fof(f1711,plain,
( ! [X0] :
( ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl10_200 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f1961,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| sK8(X0,X1) = m_Down(sK7(sK8(X0,X1)))
| sK8(X0,X1) = m_Halt(sK7(sK8(X0,X1))) )
| ~ spl10_213 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f8258,plain,
( spl10_455
| ~ spl10_123
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1949,f1894,f1021,f8256]) ).
fof(f8256,plain,
( spl10_455
<=> ! [X0,X3,X2,X1] :
( sK9(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK9(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK9(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_455])]) ).
fof(f1021,plain,
( spl10_123
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_123])]) ).
fof(f1949,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,cons(X1,cons(X2,X3))) = X1
| sP1(X0,cons(X1,cons(X2,X3)))
| sK9(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK9(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl10_123
| ~ spl10_212 ),
inference(resolution,[],[f1895,f1022]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl10_123 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f8254,plain,
( spl10_454
| ~ spl10_123
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1938,f1889,f1021,f8252]) ).
fof(f8252,plain,
( spl10_454
<=> ! [X0,X3,X2,X1] :
( sK8(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK8(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK8(X0,cons(X1,cons(X2,X3))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_454])]) ).
fof(f1938,plain,
( ! [X2,X3,X0,X1] :
( sK8(X0,cons(X1,cons(X2,X3))) = X1
| sP0(X0,cons(X1,cons(X2,X3)))
| sK8(X0,cons(X1,cons(X2,X3))) = X2
| elem(sK8(X0,cons(X1,cons(X2,X3))),X3) )
| ~ spl10_123
| ~ spl10_211 ),
inference(resolution,[],[f1890,f1022]) ).
fof(f8250,plain,
( spl10_453
| ~ spl10_121
| ~ spl10_123
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1930,f1885,f1021,f1013,f8248]) ).
fof(f8248,plain,
( spl10_453
<=> ! [X0,X3,X2,X1] :
( elem(sK9(X0,cons(X1,snoc(X2,X3))),X2)
| sK9(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_453])]) ).
fof(f1930,plain,
( ! [X2,X3,X0,X1] :
( elem(sK9(X0,cons(X1,snoc(X2,X3))),X2)
| sK9(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3 )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1929,f1014]) ).
fof(f1929,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,cons(X1,snoc(X2,X3))) = X1
| sP1(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1928,f1014]) ).
fof(f1928,plain,
( ! [X2,X3,X0,X1] :
( sP1(X0,cons(X1,snoc(X2,X3)))
| sK9(X0,cons(X1,snoc(X2,X3))) = X3
| sK9(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1927,f1014]) ).
fof(f1927,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,cons(X1,snoc(X2,X3))) = X3
| sP1(X0,snoc(cons(X1,X2),X3))
| sK9(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1918,f1014]) ).
fof(f1918,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,snoc(cons(X1,X2),X3)) = X3
| sP1(X0,snoc(cons(X1,X2),X3))
| sK9(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK9(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_123
| ~ spl10_210 ),
inference(resolution,[],[f1886,f1022]) ).
fof(f8246,plain,
( spl10_452
| ~ spl10_122
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1921,f1885,f1017,f8244]) ).
fof(f8244,plain,
( spl10_452
<=> ! [X0,X3,X2,X1] :
( sK9(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK9(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK9(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_452])]) ).
fof(f1017,plain,
( spl10_122
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_122])]) ).
fof(f1921,plain,
( ! [X2,X3,X0,X1] :
( sK9(X0,snoc(snoc(X1,X2),X3)) = X3
| sP1(X0,snoc(snoc(X1,X2),X3))
| sK9(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK9(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl10_122
| ~ spl10_210 ),
inference(resolution,[],[f1886,f1018]) ).
fof(f1018,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl10_122 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f8242,plain,
( spl10_451
| ~ spl10_121
| ~ spl10_123
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1910,f1881,f1021,f1013,f8240]) ).
fof(f8240,plain,
( spl10_451
<=> ! [X0,X3,X2,X1] :
( elem(sK8(X0,cons(X1,snoc(X2,X3))),X2)
| sK8(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK8(X0,cons(X1,snoc(X2,X3))) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_451])]) ).
fof(f1910,plain,
( ! [X2,X3,X0,X1] :
( elem(sK8(X0,cons(X1,snoc(X2,X3))),X2)
| sK8(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK8(X0,cons(X1,snoc(X2,X3))) = X3 )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1909,f1014]) ).
fof(f1909,plain,
( ! [X2,X3,X0,X1] :
( sK8(X0,cons(X1,snoc(X2,X3))) = X1
| sP0(X0,cons(X1,snoc(X2,X3)))
| sK8(X0,cons(X1,snoc(X2,X3))) = X3
| elem(sK8(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1908,f1014]) ).
fof(f1908,plain,
( ! [X2,X3,X0,X1] :
( sP0(X0,cons(X1,snoc(X2,X3)))
| sK8(X0,cons(X1,snoc(X2,X3))) = X3
| sK8(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK8(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1907,f1014]) ).
fof(f1907,plain,
( ! [X2,X3,X0,X1] :
( sK8(X0,cons(X1,snoc(X2,X3))) = X3
| sP0(X0,snoc(cons(X1,X2),X3))
| sK8(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK8(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_121
| ~ spl10_123
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1898,f1014]) ).
fof(f1898,plain,
( ! [X2,X3,X0,X1] :
( sK8(X0,snoc(cons(X1,X2),X3)) = X3
| sP0(X0,snoc(cons(X1,X2),X3))
| sK8(X0,snoc(cons(X1,X2),X3)) = X1
| elem(sK8(X0,snoc(cons(X1,X2),X3)),X2) )
| ~ spl10_123
| ~ spl10_209 ),
inference(resolution,[],[f1882,f1022]) ).
fof(f8238,plain,
( spl10_450
| ~ spl10_122
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1901,f1881,f1017,f8236]) ).
fof(f8236,plain,
( spl10_450
<=> ! [X0,X3,X2,X1] :
( sK8(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK8(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK8(X0,snoc(snoc(X1,X2),X3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_450])]) ).
fof(f1901,plain,
( ! [X2,X3,X0,X1] :
( sK8(X0,snoc(snoc(X1,X2),X3)) = X3
| sP0(X0,snoc(snoc(X1,X2),X3))
| sK8(X0,snoc(snoc(X1,X2),X3)) = X2
| elem(sK8(X0,snoc(snoc(X1,X2),X3)),X1) )
| ~ spl10_122
| ~ spl10_209 ),
inference(resolution,[],[f1882,f1018]) ).
fof(f8144,plain,
( spl10_449
| ~ spl10_101
| ~ spl10_208 ),
inference(avatar_split_clause,[],[f1871,f1850,f857,f8142]) ).
fof(f8142,plain,
( spl10_449
<=> ! [X0,X3,X2,X1] :
( sK9(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK9(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_449])]) ).
fof(f857,plain,
( spl10_101
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK9(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_101])]) ).
fof(f1871,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK9(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP1(X1,cons(X2,snoc(X3,X0))) )
| ~ spl10_101
| ~ spl10_208 ),
inference(resolution,[],[f1851,f858]) ).
fof(f858,plain,
( ! [X0,X1] :
( elem(sK9(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl10_101 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f8140,plain,
( spl10_448
| ~ spl10_100
| ~ spl10_208 ),
inference(avatar_split_clause,[],[f1870,f1850,f853,f8138]) ).
fof(f8138,plain,
( spl10_448
<=> ! [X0,X3,X2,X1] :
( sK8(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK8(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_448])]) ).
fof(f853,plain,
( spl10_100
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK8(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_100])]) ).
fof(f1870,plain,
( ! [X2,X3,X0,X1] :
( sK8(X1,cons(X2,snoc(X3,X0))) = X0
| elem(sK8(X1,cons(X2,snoc(X3,X0))),cons(X2,X3))
| sP0(X1,cons(X2,snoc(X3,X0))) )
| ~ spl10_100
| ~ spl10_208 ),
inference(resolution,[],[f1851,f854]) ).
fof(f854,plain,
( ! [X0,X1] :
( elem(sK8(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl10_100 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f8092,plain,
( spl10_447
| ~ spl10_202
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1958,f1894,f1757,f8090]) ).
fof(f8090,plain,
( spl10_447
<=> ! [X2,X0,X1] :
( elem(sK9(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK9(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_447])]) ).
fof(f1757,plain,
( spl10_202
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_202])]) ).
fof(f1958,plain,
( ! [X2,X0,X1] :
( elem(sK9(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK9(X2,snoc(X0,X1))
| sP1(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl10_202
| ~ spl10_212 ),
inference(superposition,[],[f1895,f1758]) ).
fof(f1758,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl10_202 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f8088,plain,
( spl10_446
| ~ spl10_202
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1947,f1889,f1757,f8086]) ).
fof(f8086,plain,
( spl10_446
<=> ! [X2,X0,X1] :
( elem(sK8(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK8(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_446])]) ).
fof(f1947,plain,
( ! [X2,X0,X1] :
( elem(sK8(X2,snoc(X0,X1)),snoc(tail(X0),X1))
| head(X0) = sK8(X2,snoc(X0,X1))
| sP0(X2,snoc(X0,X1))
| q_nil = X0 )
| ~ spl10_202
| ~ spl10_211 ),
inference(superposition,[],[f1890,f1758]) ).
fof(f7543,plain,
( spl10_445
| ~ spl10_177
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1953,f1894,f1454,f7541]) ).
fof(f7541,plain,
( spl10_445
<=> ! [X2,X0,X1] :
( sK9(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK9(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_445])]) ).
fof(f1454,plain,
( spl10_177
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_177])]) ).
fof(f1953,plain,
( ! [X2,X0,X1] :
( sK9(X0,cons(X1,init(X2))) = X1
| sP1(X0,cons(X1,init(X2)))
| elem(sK9(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl10_177
| ~ spl10_212 ),
inference(resolution,[],[f1895,f1455]) ).
fof(f1455,plain,
( ! [X0,X1] :
( ~ elem(X1,init(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl10_177 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f7539,plain,
( spl10_444
| ~ spl10_179
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1951,f1894,f1465,f7537]) ).
fof(f7537,plain,
( spl10_444
<=> ! [X2,X0,X1] :
( sK9(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK9(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_444])]) ).
fof(f1465,plain,
( spl10_179
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_179])]) ).
fof(f1951,plain,
( ! [X2,X0,X1] :
( sK9(X0,cons(X1,tail(X2))) = X1
| sP1(X0,cons(X1,tail(X2)))
| elem(sK9(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl10_179
| ~ spl10_212 ),
inference(resolution,[],[f1895,f1466]) ).
fof(f1466,plain,
( ! [X0,X1] :
( ~ elem(X1,tail(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl10_179 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f7522,plain,
( spl10_443
| ~ spl10_177
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1942,f1889,f1454,f7520]) ).
fof(f7520,plain,
( spl10_443
<=> ! [X2,X0,X1] :
( sK8(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK8(X0,cons(X1,init(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_443])]) ).
fof(f1942,plain,
( ! [X2,X0,X1] :
( sK8(X0,cons(X1,init(X2))) = X1
| sP0(X0,cons(X1,init(X2)))
| elem(sK8(X0,cons(X1,init(X2))),X2)
| q_nil = X2 )
| ~ spl10_177
| ~ spl10_211 ),
inference(resolution,[],[f1890,f1455]) ).
fof(f7518,plain,
( spl10_442
| ~ spl10_179
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1940,f1889,f1465,f7516]) ).
fof(f7516,plain,
( spl10_442
<=> ! [X2,X0,X1] :
( sK8(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK8(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_442])]) ).
fof(f1940,plain,
( ! [X2,X0,X1] :
( sK8(X0,cons(X1,tail(X2))) = X1
| sP0(X0,cons(X1,tail(X2)))
| elem(sK8(X0,cons(X1,tail(X2))),X2)
| q_nil = X2 )
| ~ spl10_179
| ~ spl10_211 ),
inference(resolution,[],[f1890,f1466]) ).
fof(f7514,plain,
( spl10_441
| ~ spl10_177
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1922,f1885,f1454,f7512]) ).
fof(f7512,plain,
( spl10_441
<=> ! [X2,X0,X1] :
( sK9(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK9(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_441])]) ).
fof(f1922,plain,
( ! [X2,X0,X1] :
( sK9(X0,snoc(init(X1),X2)) = X2
| sP1(X0,snoc(init(X1),X2))
| elem(sK9(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl10_177
| ~ spl10_210 ),
inference(resolution,[],[f1886,f1455]) ).
fof(f7510,plain,
( spl10_440
| ~ spl10_179
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1920,f1885,f1465,f7508]) ).
fof(f7508,plain,
( spl10_440
<=> ! [X2,X0,X1] :
( sK9(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK9(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_440])]) ).
fof(f1920,plain,
( ! [X2,X0,X1] :
( sK9(X0,snoc(tail(X1),X2)) = X2
| sP1(X0,snoc(tail(X1),X2))
| elem(sK9(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl10_179
| ~ spl10_210 ),
inference(resolution,[],[f1886,f1466]) ).
fof(f7506,plain,
( spl10_439
| ~ spl10_177
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1902,f1881,f1454,f7504]) ).
fof(f7504,plain,
( spl10_439
<=> ! [X2,X0,X1] :
( sK8(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK8(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_439])]) ).
fof(f1902,plain,
( ! [X2,X0,X1] :
( sK8(X0,snoc(init(X1),X2)) = X2
| sP0(X0,snoc(init(X1),X2))
| elem(sK8(X0,snoc(init(X1),X2)),X1)
| q_nil = X1 )
| ~ spl10_177
| ~ spl10_209 ),
inference(resolution,[],[f1882,f1455]) ).
fof(f7502,plain,
( spl10_438
| ~ spl10_179
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1900,f1881,f1465,f7500]) ).
fof(f7500,plain,
( spl10_438
<=> ! [X2,X0,X1] :
( sK8(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK8(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_438])]) ).
fof(f1900,plain,
( ! [X2,X0,X1] :
( sK8(X0,snoc(tail(X1),X2)) = X2
| sP0(X0,snoc(tail(X1),X2))
| elem(sK8(X0,snoc(tail(X1),X2)),X1)
| q_nil = X1 )
| ~ spl10_179
| ~ spl10_209 ),
inference(resolution,[],[f1882,f1466]) ).
fof(f7458,plain,
( spl10_437
| ~ spl10_187
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1686,f1660,f1565,f7456]) ).
fof(f7456,plain,
( spl10_437
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK8(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK8(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_437])]) ).
fof(f1565,plain,
( spl10_187
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK8(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_187])]) ).
fof(f1660,plain,
( spl10_195
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_195])]) ).
fof(f1686,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK8(m_Down(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK8(m_Down(s(X0)),X1)))
| sP0(m_Down(s(X0)),X1) )
| ~ spl10_187
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1566]) ).
fof(f1566,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK8(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl10_187 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1661,plain,
( ! [X0,X1] :
( leq(s(X1),X0)
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl10_195 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f7454,plain,
( spl10_436
| ~ spl10_186
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1685,f1660,f1561,f7452]) ).
fof(f7452,plain,
( spl10_436
<=> ! [X0,X1] :
( s(X0) = s(pidMsg(sK8(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK8(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_436])]) ).
fof(f1561,plain,
( spl10_186
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK8(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_186])]) ).
fof(f1685,plain,
( ! [X0,X1] :
( s(X0) = s(pidMsg(sK8(m_Halt(s(X0)),X1)))
| ~ leq(X0,pidMsg(sK8(m_Halt(s(X0)),X1)))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl10_186
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1562]) ).
fof(f1562,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK8(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl10_186 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f7270,plain,
( ~ spl10_435
| spl10_268
| ~ spl10_297 ),
inference(avatar_split_clause,[],[f3272,f3028,f2506,f7267]) ).
fof(f7267,plain,
( spl10_435
<=> leq(index(pendack,host(sK4)),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_435])]) ).
fof(f3272,plain,
( ~ leq(index(pendack,host(sK4)),s(zero))
| spl10_268
| ~ spl10_297 ),
inference(resolution,[],[f3029,f2508]) ).
fof(f7265,plain,
( spl10_434
| ~ spl10_44
| ~ spl10_221 ),
inference(avatar_split_clause,[],[f2026,f1994,f561,f7263]) ).
fof(f7263,plain,
( spl10_434
<=> ! [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,[spl10_434])]) ).
fof(f561,plain,
( spl10_44
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_44])]) ).
fof(f1994,plain,
( spl10_221
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_221])]) ).
fof(f2026,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) )
| ~ spl10_44
| ~ spl10_221 ),
inference(superposition,[],[f1995,f562]) ).
fof(f562,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl10_44 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f1995,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) )
| ~ spl10_221 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f7261,plain,
( spl10_433
| ~ spl10_43
| ~ spl10_221 ),
inference(avatar_split_clause,[],[f2025,f1994,f557,f7259]) ).
fof(f7259,plain,
( spl10_433
<=> ! [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,[spl10_433])]) ).
fof(f557,plain,
( spl10_43
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_43])]) ).
fof(f2025,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) )
| ~ spl10_43
| ~ spl10_221 ),
inference(superposition,[],[f1995,f558]) ).
fof(f558,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl10_43 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f7257,plain,
( spl10_432
| ~ spl10_44
| ~ spl10_220 ),
inference(avatar_split_clause,[],[f2023,f1990,f561,f7255]) ).
fof(f7255,plain,
( spl10_432
<=> ! [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,[spl10_432])]) ).
fof(f1990,plain,
( spl10_220
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_220])]) ).
fof(f2023,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) )
| ~ spl10_44
| ~ spl10_220 ),
inference(superposition,[],[f1991,f562]) ).
fof(f1991,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) )
| ~ spl10_220 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f7253,plain,
( spl10_431
| ~ spl10_43
| ~ spl10_220 ),
inference(avatar_split_clause,[],[f2022,f1990,f557,f7251]) ).
fof(f7251,plain,
( spl10_431
<=> ! [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,[spl10_431])]) ).
fof(f2022,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) )
| ~ spl10_43
| ~ spl10_220 ),
inference(superposition,[],[f1991,f558]) ).
fof(f7249,plain,
( spl10_430
| ~ spl10_44
| ~ spl10_217 ),
inference(avatar_split_clause,[],[f2009,f1978,f561,f7247]) ).
fof(f7247,plain,
( spl10_430
<=> ! [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,[spl10_430])]) ).
fof(f1978,plain,
( spl10_217
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_217])]) ).
fof(f2009,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) )
| ~ spl10_44
| ~ spl10_217 ),
inference(superposition,[],[f1979,f562]) ).
fof(f1979,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) )
| ~ spl10_217 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f7245,plain,
( spl10_429
| ~ spl10_43
| ~ spl10_217 ),
inference(avatar_split_clause,[],[f2008,f1978,f557,f7243]) ).
fof(f7243,plain,
( spl10_429
<=> ! [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,[spl10_429])]) ).
fof(f2008,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) )
| ~ spl10_43
| ~ spl10_217 ),
inference(superposition,[],[f1979,f558]) ).
fof(f7241,plain,
( spl10_428
| ~ spl10_44
| ~ spl10_215 ),
inference(avatar_split_clause,[],[f2006,f1970,f561,f7239]) ).
fof(f7239,plain,
( spl10_428
<=> ! [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,[spl10_428])]) ).
fof(f1970,plain,
( spl10_215
<=> ! [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,[spl10_215])]) ).
fof(f2006,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) )
| ~ spl10_44
| ~ spl10_215 ),
inference(superposition,[],[f1971,f562]) ).
fof(f1971,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) )
| ~ spl10_215 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f7237,plain,
( spl10_427
| ~ spl10_43
| ~ spl10_215 ),
inference(avatar_split_clause,[],[f2005,f1970,f557,f7235]) ).
fof(f7235,plain,
( spl10_427
<=> ! [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,[spl10_427])]) ).
fof(f2005,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) )
| ~ spl10_43
| ~ spl10_215 ),
inference(superposition,[],[f1971,f558]) ).
fof(f7233,plain,
( spl10_426
| ~ spl10_187
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1641,f1577,f1565,f7231]) ).
fof(f7231,plain,
( spl10_426
<=> ! [X0,X1] :
( leq(pidMsg(sK8(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK8(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_426])]) ).
fof(f1577,plain,
( spl10_190
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_190])]) ).
fof(f1641,plain,
( ! [X0,X1] :
( leq(pidMsg(sK8(m_Down(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK8(m_Down(s(X0)),X1))
| sP0(m_Down(s(X0)),X1) )
| ~ spl10_187
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1566]) ).
fof(f1578,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| leq(X1,X0)
| s(X0) = X1 )
| ~ spl10_190 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f7229,plain,
( spl10_425
| ~ spl10_186
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1640,f1577,f1561,f7227]) ).
fof(f7227,plain,
( spl10_425
<=> ! [X0,X1] :
( leq(pidMsg(sK8(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK8(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_425])]) ).
fof(f1640,plain,
( ! [X0,X1] :
( leq(pidMsg(sK8(m_Halt(s(X0)),X1)),X0)
| s(X0) = pidMsg(sK8(m_Halt(s(X0)),X1))
| sP0(m_Halt(s(X0)),X1) )
| ~ spl10_186
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1562]) ).
fof(f7225,plain,
( spl10_424
| spl10_36
| ~ spl10_263
| ~ spl10_283 ),
inference(avatar_split_clause,[],[f2932,f2802,f2439,f521,f7222]) ).
fof(f2802,plain,
( spl10_283
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_283])]) ).
fof(f2932,plain,
( leq(s(zero),index(pendack,host(sK4)))
| spl10_36
| ~ spl10_263
| ~ spl10_283 ),
inference(forward_demodulation,[],[f2891,f2441]) ).
fof(f2891,plain,
( leq(s(zero),index(pendack,host(sK6)))
| spl10_36
| ~ spl10_283 ),
inference(resolution,[],[f2803,f523]) ).
fof(f2803,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl10_283 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f7200,plain,
( spl10_423
| ~ spl10_121
| ~ spl10_207 ),
inference(avatar_split_clause,[],[f1859,f1846,f1013,f7198]) ).
fof(f7198,plain,
( spl10_423
<=> ! [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,[spl10_423])]) ).
fof(f1846,plain,
( spl10_207
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_207])]) ).
fof(f1859,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))) )
| ~ spl10_121
| ~ spl10_207 ),
inference(superposition,[],[f1847,f1014]) ).
fof(f1847,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl10_207 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f7137,plain,
( spl10_422
| ~ spl10_202
| ~ spl10_207 ),
inference(avatar_split_clause,[],[f1861,f1846,f1757,f7135]) ).
fof(f7135,plain,
( spl10_422
<=> ! [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,[spl10_422])]) ).
fof(f1861,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP1(X1,cons(head(X0),tail(X0)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl10_202
| ~ spl10_207 ),
inference(superposition,[],[f1847,f1758]) ).
fof(f7132,plain,
( spl10_421
| ~ spl10_189
| ~ spl10_206 ),
inference(avatar_split_clause,[],[f1841,f1773,f1573,f7130]) ).
fof(f7130,plain,
( spl10_421
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Down(X0),X1)),sK7(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_421])]) ).
fof(f1573,plain,
( spl10_189
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_189])]) ).
fof(f1773,plain,
( spl10_206
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK7(m_Down(X0)))
| m_Down(X0) = m_Down(sK7(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_206])]) ).
fof(f1841,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Down(X0),X1)),sK7(m_Down(X0)))
| sP1(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) )
| ~ spl10_189
| ~ spl10_206 ),
inference(superposition,[],[f1574,f1774]) ).
fof(f1774,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK7(m_Down(X0)))
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) )
| ~ spl10_206 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f1574,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl10_189 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f7127,plain,
( spl10_420
| ~ spl10_187
| ~ spl10_206 ),
inference(avatar_split_clause,[],[f1840,f1773,f1565,f7125]) ).
fof(f7125,plain,
( spl10_420
<=> ! [X0,X1] :
( ~ leq(sK7(m_Down(X0)),pidMsg(sK8(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_420])]) ).
fof(f1840,plain,
( ! [X0,X1] :
( ~ leq(sK7(m_Down(X0)),pidMsg(sK8(m_Down(X0),X1)))
| sP0(m_Down(X0),X1)
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) )
| ~ spl10_187
| ~ spl10_206 ),
inference(superposition,[],[f1566,f1774]) ).
fof(f7123,plain,
( spl10_419
| ~ spl10_125
| ~ spl10_200 ),
inference(avatar_split_clause,[],[f1744,f1710,f1060,f7121]) ).
fof(f7121,plain,
( spl10_419
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK8(head(X0),tail(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_419])]) ).
fof(f1060,plain,
( spl10_125
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK8(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_125])]) ).
fof(f1744,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| host(pidMsg(head(X0))) = host(pidMsg(sK8(head(X0),tail(X0)))) )
| ~ spl10_125
| ~ spl10_200 ),
inference(resolution,[],[f1711,f1061]) ).
fof(f1061,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK8(X0,X1))) )
| ~ spl10_125 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f7119,plain,
( spl10_418
| ~ spl10_127
| ~ spl10_199 ),
inference(avatar_split_clause,[],[f1728,f1706,f1069,f7117]) ).
fof(f7117,plain,
( spl10_418
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK9(last(X0),init(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_418])]) ).
fof(f1069,plain,
( spl10_127
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_127])]) ).
fof(f1728,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| host(pidMsg(last(X0))) = host(pidMsg(sK9(last(X0),init(X0)))) )
| ~ spl10_127
| ~ spl10_199 ),
inference(resolution,[],[f1707,f1070]) ).
fof(f1070,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) )
| ~ spl10_127 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f7115,plain,
( ~ spl10_417
| ~ spl10_133
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2558,f2439,f1123,f7112]) ).
fof(f7112,plain,
( spl10_417
<=> elem(m_Ack(sK6,sK6),queue(host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_417])]) ).
fof(f1123,plain,
( spl10_133
<=> ! [X0] : ~ elem(m_Ack(X0,sK6),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_133])]) ).
fof(f2558,plain,
( ~ elem(m_Ack(sK6,sK6),queue(host(sK4)))
| ~ spl10_133
| ~ spl10_263 ),
inference(superposition,[],[f1124,f2441]) ).
fof(f1124,plain,
( ! [X0] : ~ elem(m_Ack(X0,sK6),queue(host(X0)))
| ~ spl10_133 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f6933,plain,
( spl10_416
| ~ spl10_121
| ~ spl10_208 ),
inference(avatar_split_clause,[],[f1874,f1850,f1013,f6931]) ).
fof(f6931,plain,
( spl10_416
<=> ! [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,[spl10_416])]) ).
fof(f1874,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| X2 = X3
| elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl10_121
| ~ spl10_208 ),
inference(superposition,[],[f1851,f1014]) ).
fof(f6929,plain,
( spl10_415
| ~ spl10_111
| ~ spl10_207 ),
inference(avatar_split_clause,[],[f1858,f1846,f940,f6927]) ).
fof(f6927,plain,
( spl10_415
<=> ! [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,[spl10_415])]) ).
fof(f940,plain,
( spl10_111
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_111])]) ).
fof(f1858,plain,
( ! [X0,X1] :
( ordered(cons(X1,X0))
| ~ sP1(last(X0),cons(X1,init(X0)))
| ~ ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_207 ),
inference(superposition,[],[f1847,f941]) ).
fof(f941,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl10_111 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f6925,plain,
( spl10_414
| ~ spl10_107
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1795,f1757,f900,f6923]) ).
fof(f6923,plain,
( spl10_414
<=> ! [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,[spl10_414])]) ).
fof(f900,plain,
( spl10_107
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_107])]) ).
fof(f1795,plain,
( ! [X0,X1] :
( ordered(snoc(X0,X1))
| ~ sP0(head(X0),snoc(tail(X0),X1))
| ~ ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl10_107
| ~ spl10_202 ),
inference(superposition,[],[f901,f1758]) ).
fof(f901,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl10_107 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f6921,plain,
( spl10_413
| ~ spl10_120
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1682,f1660,f1007,f6919]) ).
fof(f6919,plain,
( spl10_413
<=> ! [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,[spl10_413])]) ).
fof(f1007,plain,
( spl10_120
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_120])]) ).
fof(f1682,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl10_120
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1008]) ).
fof(f1008,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl10_120 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f6901,plain,
( spl10_412
| ~ spl10_172
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2524,f2439,f1409,f6898]) ).
fof(f2524,plain,
( leq(host(sK5),index(pendack,host(sK4)))
| ~ spl10_172
| ~ spl10_263 ),
inference(superposition,[],[f1411,f2441]) ).
fof(f6662,plain,
( spl10_411
| ~ spl10_112
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1957,f1894,f944,f6660]) ).
fof(f6660,plain,
( spl10_411
<=> ! [X0,X1] :
( elem(sK9(X1,X0),tail(X0))
| head(X0) = sK9(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_411])]) ).
fof(f944,plain,
( spl10_112
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_112])]) ).
fof(f1957,plain,
( ! [X0,X1] :
( elem(sK9(X1,X0),tail(X0))
| head(X0) = sK9(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl10_112
| ~ spl10_212 ),
inference(superposition,[],[f1895,f945]) ).
fof(f945,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl10_112 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f6658,plain,
( spl10_410
| ~ spl10_112
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1946,f1889,f944,f6656]) ).
fof(f6656,plain,
( spl10_410
<=> ! [X0,X1] :
( elem(sK8(X1,X0),tail(X0))
| head(X0) = sK8(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_410])]) ).
fof(f1946,plain,
( ! [X0,X1] :
( elem(sK8(X1,X0),tail(X0))
| head(X0) = sK8(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl10_112
| ~ spl10_211 ),
inference(superposition,[],[f1890,f945]) ).
fof(f6654,plain,
( spl10_409
| ~ spl10_148
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2522,f2439,f1226,f6651]) ).
fof(f2522,plain,
( leq(host(sK4),index(pendack,host(sK4)))
| ~ spl10_148
| ~ spl10_263 ),
inference(superposition,[],[f1228,f2441]) ).
fof(f6649,plain,
( spl10_408
| ~ spl10_111
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1925,f1885,f940,f6647]) ).
fof(f6647,plain,
( spl10_408
<=> ! [X0,X1] :
( elem(sK9(X1,X0),init(X0))
| last(X0) = sK9(X1,X0)
| sP1(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_408])]) ).
fof(f1925,plain,
( ! [X0,X1] :
( elem(sK9(X1,X0),init(X0))
| last(X0) = sK9(X1,X0)
| sP1(X1,X0)
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_210 ),
inference(superposition,[],[f1886,f941]) ).
fof(f6645,plain,
( spl10_407
| ~ spl10_111
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1905,f1881,f940,f6643]) ).
fof(f6643,plain,
( spl10_407
<=> ! [X0,X1] :
( elem(sK8(X1,X0),init(X0))
| last(X0) = sK8(X1,X0)
| sP0(X1,X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_407])]) ).
fof(f1905,plain,
( ! [X0,X1] :
( elem(sK8(X1,X0),init(X0))
| last(X0) = sK8(X1,X0)
| sP0(X1,X0)
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_209 ),
inference(superposition,[],[f1882,f941]) ).
fof(f6641,plain,
( spl10_406
| ~ spl10_202
| ~ spl10_208 ),
inference(avatar_split_clause,[],[f1876,f1850,f1757,f6639]) ).
fof(f6639,plain,
( spl10_406
<=> ! [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,[spl10_406])]) ).
fof(f1876,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| X1 = X2
| elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl10_202
| ~ spl10_208 ),
inference(superposition,[],[f1851,f1758]) ).
fof(f6637,plain,
( spl10_405
| ~ spl10_111
| ~ spl10_208 ),
inference(avatar_split_clause,[],[f1873,f1850,f940,f6635]) ).
fof(f6635,plain,
( spl10_405
<=> ! [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,[spl10_405])]) ).
fof(f1873,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,X0))
| last(X0) = X1
| elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_208 ),
inference(superposition,[],[f1851,f941]) ).
fof(f6633,plain,
( spl10_404
| ~ spl10_123
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1797,f1757,f1021,f6631]) ).
fof(f6631,plain,
( spl10_404
<=> ! [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,[spl10_404])]) ).
fof(f1797,plain,
( ! [X2,X0,X1] :
( ~ elem(X2,snoc(X0,X1))
| head(X0) = X2
| elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl10_123
| ~ spl10_202 ),
inference(superposition,[],[f1022,f1758]) ).
fof(f6629,plain,
( spl10_403
| ~ spl10_121
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1796,f1757,f1013,f6627]) ).
fof(f6627,plain,
( spl10_403
<=> ! [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,[spl10_403])]) ).
fof(f1796,plain,
( ! [X2,X0,X1] :
( cons(head(X0),snoc(snoc(tail(X0),X1),X2)) = snoc(snoc(X0,X1),X2)
| q_nil = X0 )
| ~ spl10_121
| ~ spl10_202 ),
inference(superposition,[],[f1014,f1758]) ).
fof(f6625,plain,
( spl10_402
| ~ spl10_195
| ~ spl10_198 ),
inference(avatar_split_clause,[],[f1719,f1702,f1660,f6623]) ).
fof(f6623,plain,
( spl10_402
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_402])]) ).
fof(f1702,plain,
( spl10_198
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_198])]) ).
fof(f1719,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X0) = s(s(X1))
| ~ leq(X0,s(X1)) )
| ~ spl10_195
| ~ spl10_198 ),
inference(resolution,[],[f1703,f1661]) ).
fof(f1703,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl10_198 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f6621,plain,
( spl10_401
| ~ spl10_185
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1681,f1660,f1557,f6619]) ).
fof(f6619,plain,
( spl10_401
<=> ! [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,[spl10_401])]) ).
fof(f1557,plain,
( spl10_185
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_185])]) ).
fof(f1681,plain,
( ! [X2,X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl10_185
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1558]) ).
fof(f1558,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X2))
| leq(X0,s(X1))
| ~ leq(X2,X1) )
| ~ spl10_185 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f6488,plain,
( ~ spl10_400
| spl10_36
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2517,f2439,f521,f6485]) ).
fof(f6485,plain,
( spl10_400
<=> leq(index(pendack,host(sK4)),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_400])]) ).
fof(f2517,plain,
( ~ leq(index(pendack,host(sK4)),host(sK4))
| spl10_36
| ~ spl10_263 ),
inference(superposition,[],[f523,f2441]) ).
fof(f6448,plain,
( spl10_399
| ~ spl10_97
| ~ spl10_206 ),
inference(avatar_split_clause,[],[f1838,f1773,f841,f6446]) ).
fof(f6446,plain,
( spl10_399
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK7(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_399])]) ).
fof(f841,plain,
( spl10_97
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_97])]) ).
fof(f1838,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| sK7(m_Down(X0)) = X1
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) )
| ~ spl10_97
| ~ spl10_206 ),
inference(superposition,[],[f842,f1774]) ).
fof(f842,plain,
( ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 )
| ~ spl10_97 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f6444,plain,
( spl10_398
| ~ spl10_185
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1636,f1577,f1557,f6442]) ).
fof(f6442,plain,
( spl10_398
<=> ! [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,[spl10_398])]) ).
fof(f1636,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),s(X2))
| ~ leq(X0,X2) )
| ~ spl10_185
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1558]) ).
fof(f6440,plain,
( spl10_397
| ~ spl10_122
| ~ spl10_162 ),
inference(avatar_split_clause,[],[f1343,f1305,f1017,f6438]) ).
fof(f6438,plain,
( spl10_397
<=> ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_397])]) ).
fof(f1305,plain,
( spl10_162
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_162])]) ).
fof(f1343,plain,
( ! [X0,X1] :
( q_nil = snoc(X0,X1)
| head(snoc(X0,X1)) = X1
| elem(head(snoc(X0,X1)),X0) )
| ~ spl10_122
| ~ spl10_162 ),
inference(resolution,[],[f1306,f1018]) ).
fof(f1306,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl10_162 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f6436,plain,
( spl10_396
| ~ spl10_123
| ~ spl10_161 ),
inference(avatar_split_clause,[],[f1336,f1301,f1021,f6434]) ).
fof(f6434,plain,
( spl10_396
<=> ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_396])]) ).
fof(f1301,plain,
( spl10_161
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_161])]) ).
fof(f1336,plain,
( ! [X0,X1] :
( q_nil = cons(X0,X1)
| last(cons(X0,X1)) = X0
| elem(last(cons(X0,X1)),X1) )
| ~ spl10_123
| ~ spl10_161 ),
inference(resolution,[],[f1302,f1022]) ).
fof(f1302,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl10_161 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f6366,plain,
( spl10_395
| ~ spl10_121
| ~ spl10_197 ),
inference(avatar_split_clause,[],[f1698,f1668,f1013,f6364]) ).
fof(f6364,plain,
( spl10_395
<=> ! [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,[spl10_395])]) ).
fof(f1668,plain,
( spl10_197
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_197])]) ).
fof(f1698,plain,
( ! [X2,X3,X0,X1,X4] :
( ordered(cons(X4,cons(X0,snoc(X1,m_Ack(X2,X3)))))
| ~ ordered(cons(X4,cons(X0,X1))) )
| ~ spl10_121
| ~ spl10_197 ),
inference(superposition,[],[f1669,f1014]) ).
fof(f1669,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl10_197 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f6362,plain,
( spl10_394
| ~ spl10_121
| ~ spl10_196 ),
inference(avatar_split_clause,[],[f1690,f1664,f1013,f6360]) ).
fof(f6360,plain,
( spl10_394
<=> ! [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,[spl10_394])]) ).
fof(f1664,plain,
( spl10_196
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_196])]) ).
fof(f1690,plain,
( ! [X2,X3,X0,X1,X4] :
( elem(X3,cons(X4,cons(X0,snoc(X1,X2))))
| ~ elem(X3,cons(X4,cons(X0,X1))) )
| ~ spl10_121
| ~ spl10_196 ),
inference(superposition,[],[f1665,f1014]) ).
fof(f1665,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl10_196 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f6357,plain,
( ~ spl10_155
| ~ spl10_98
| spl10_224 ),
inference(avatar_split_clause,[],[f2044,f2015,f845,f1269]) ).
fof(f845,plain,
( spl10_98
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_98])]) ).
fof(f2044,plain,
( ~ leq(index(pendack,host(sK6)),host(sK5))
| ~ spl10_98
| spl10_224 ),
inference(resolution,[],[f2017,f846]) ).
fof(f846,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl10_98 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f6356,plain,
( spl10_393
| ~ spl10_109
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1678,f1660,f908,f6354]) ).
fof(f6354,plain,
( spl10_393
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_393])]) ).
fof(f908,plain,
( spl10_109
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_109])]) ).
fof(f1678,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| s(X1) = X0
| ~ leq(X0,s(X1)) )
| ~ spl10_109
| ~ spl10_195 ),
inference(resolution,[],[f1661,f909]) ).
fof(f909,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl10_109 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f6025,plain,
( spl10_392
| ~ spl10_80
| ~ spl10_208 ),
inference(avatar_split_clause,[],[f1872,f1850,f739,f6023]) ).
fof(f6023,plain,
( spl10_392
<=> ! [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,[spl10_392])]) ).
fof(f739,plain,
( spl10_80
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_80])]) ).
fof(f1872,plain,
( ! [X2,X0,X1] :
( ~ elem(X1,cons(X2,cons(X0,q_nil)))
| X0 = X1
| elem(X1,cons(X2,q_nil)) )
| ~ spl10_80
| ~ spl10_208 ),
inference(superposition,[],[f1851,f740]) ).
fof(f740,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl10_80 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f6021,plain,
( spl10_391
| ~ spl10_80
| ~ spl10_207 ),
inference(avatar_split_clause,[],[f1857,f1846,f739,f6019]) ).
fof(f6019,plain,
( spl10_391
<=> ! [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,[spl10_391])]) ).
fof(f1857,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(X0,q_nil)))
| ~ sP1(X0,cons(X1,q_nil))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl10_80
| ~ spl10_207 ),
inference(superposition,[],[f1847,f740]) ).
fof(f6017,plain,
( spl10_390
| ~ spl10_197
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1787,f1757,f1668,f6015]) ).
fof(f6015,plain,
( spl10_390
<=> ! [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,[spl10_390])]) ).
fof(f1787,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl10_197
| ~ spl10_202 ),
inference(superposition,[],[f1669,f1758]) ).
fof(f6013,plain,
( spl10_389
| ~ spl10_196
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1780,f1757,f1664,f6011]) ).
fof(f6011,plain,
( spl10_389
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_389])]) ).
fof(f1780,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl10_196
| ~ spl10_202 ),
inference(superposition,[],[f1665,f1758]) ).
fof(f6009,plain,
( spl10_388
| ~ spl10_168
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1683,f1660,f1375,f6007]) ).
fof(f6007,plain,
( spl10_388
<=> ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_388])]) ).
fof(f1375,plain,
( spl10_168
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_168])]) ).
fof(f1683,plain,
( ! [X0,X1] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),host(X1)) )
| ~ spl10_168
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1376]) ).
fof(f1376,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl10_168 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f6005,plain,
( spl10_387
| ~ spl10_110
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1677,f1660,f912,f6003]) ).
fof(f6003,plain,
( spl10_387
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_387])]) ).
fof(f1677,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl10_110
| ~ spl10_195 ),
inference(resolution,[],[f1661,f913]) ).
fof(f6001,plain,
( spl10_386
| ~ spl10_173
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1676,f1660,f1425,f5999]) ).
fof(f5999,plain,
( spl10_386
<=> ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_386])]) ).
fof(f1676,plain,
( ! [X2,X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl10_173
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1426]) ).
fof(f5997,plain,
( spl10_385
| ~ spl10_121
| ~ spl10_194 ),
inference(avatar_split_clause,[],[f1656,f1593,f1013,f5995]) ).
fof(f5995,plain,
( spl10_385
<=> ! [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,[spl10_385])]) ).
fof(f1593,plain,
( spl10_194
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_194])]) ).
fof(f1656,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X3,cons(X0,snoc(X1,m_Ldr(X2)))))
| ~ ordered(cons(X3,cons(X0,X1))) )
| ~ spl10_121
| ~ spl10_194 ),
inference(superposition,[],[f1594,f1014]) ).
fof(f1594,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl10_194 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f5993,plain,
( spl10_384
| ~ spl10_121
| ~ spl10_193 ),
inference(avatar_split_clause,[],[f1648,f1589,f1013,f5991]) ).
fof(f5991,plain,
( spl10_384
<=> ! [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,[spl10_384])]) ).
fof(f1589,plain,
( spl10_193
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_193])]) ).
fof(f1648,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| sP1(X2,cons(X3,cons(X0,X1))) )
| ~ spl10_121
| ~ spl10_193 ),
inference(superposition,[],[f1590,f1014]) ).
fof(f1590,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl10_193 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f5372,plain,
( spl10_383
| ~ spl10_83
| ~ spl10_207 ),
inference(avatar_split_clause,[],[f1855,f1846,f751,f5370]) ).
fof(f5370,plain,
( spl10_383
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_383])]) ).
fof(f1855,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| sP0(X1,snoc(X2,X0)) )
| ~ spl10_83
| ~ spl10_207 ),
inference(resolution,[],[f1847,f752]) ).
fof(f5368,plain,
( spl10_382
| ~ spl10_106
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1794,f1757,f878,f5366]) ).
fof(f5366,plain,
( spl10_382
<=> ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_382])]) ).
fof(f878,plain,
( spl10_106
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_106])]) ).
fof(f1794,plain,
( ! [X2,X0,X1] :
( elem(X2,snoc(X0,X1))
| ~ elem(X2,snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl10_106
| ~ spl10_202 ),
inference(superposition,[],[f879,f1758]) ).
fof(f879,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl10_106 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f5364,plain,
( spl10_381
| ~ spl10_83
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1793,f1757,f751,f5362]) ).
fof(f5362,plain,
( spl10_381
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_381])]) ).
fof(f1793,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP0(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl10_83
| ~ spl10_202 ),
inference(superposition,[],[f752,f1758]) ).
fof(f5360,plain,
( spl10_380
| ~ spl10_194
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1786,f1757,f1593,f5358]) ).
fof(f5358,plain,
( spl10_380
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_380])]) ).
fof(f1786,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl10_194
| ~ spl10_202 ),
inference(superposition,[],[f1594,f1758]) ).
fof(f5356,plain,
( spl10_379
| ~ spl10_193
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1781,f1757,f1589,f5354]) ).
fof(f5354,plain,
( spl10_379
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_379])]) ).
fof(f1781,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| sP1(X1,cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl10_193
| ~ spl10_202 ),
inference(superposition,[],[f1590,f1758]) ).
fof(f5352,plain,
( ~ spl10_377
| spl10_378
| ~ spl10_35
| ~ spl10_311
| ~ spl10_322 ),
inference(avatar_split_clause,[],[f4375,f3597,f3552,f507,f5349,f5345]) ).
fof(f5345,plain,
( spl10_377
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_377])]) ).
fof(f5349,plain,
( spl10_378
<=> sK4 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_378])]) ).
fof(f507,plain,
( spl10_35
<=> ! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| elec_2 != index(status,host(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_35])]) ).
fof(f3552,plain,
( spl10_311
<=> elec_2 = index(status,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_311])]) ).
fof(f3597,plain,
( spl10_322
<=> sK6 = index(elid,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_322])]) ).
fof(f4375,plain,
( sK4 = sK6
| ~ setIn(sK4,alive)
| ~ spl10_35
| ~ spl10_311
| ~ spl10_322 ),
inference(forward_demodulation,[],[f4373,f3599]) ).
fof(f3599,plain,
( sK6 = index(elid,host(sK4))
| ~ spl10_322 ),
inference(avatar_component_clause,[],[f3597]) ).
fof(f4373,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl10_35
| ~ spl10_311 ),
inference(trivial_inequality_removal,[],[f4352]) ).
fof(f4352,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl10_35
| ~ spl10_311 ),
inference(superposition,[],[f508,f3554]) ).
fof(f3554,plain,
( elec_2 = index(status,host(sK4))
| ~ spl10_311 ),
inference(avatar_component_clause,[],[f3552]) ).
fof(f508,plain,
( ! [X21] :
( elec_2 != index(status,host(X21))
| ~ setIn(X21,alive)
| index(elid,host(X21)) = X21 )
| ~ spl10_35 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f5343,plain,
( spl10_376
| ~ spl10_111
| ~ spl10_196 ),
inference(avatar_split_clause,[],[f1689,f1664,f940,f5341]) ).
fof(f5341,plain,
( spl10_376
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_376])]) ).
fof(f1689,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,X0))
| ~ elem(X1,cons(X2,init(X0)))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_196 ),
inference(superposition,[],[f1665,f941]) ).
fof(f5339,plain,
( spl10_375
| ~ spl10_159
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1684,f1660,f1293,f5337]) ).
fof(f5337,plain,
( spl10_375
<=> ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_375])]) ).
fof(f1293,plain,
( spl10_159
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_159])]) ).
fof(f1684,plain,
( ! [X0] :
( s(X0) = s(s(zero))
| ~ leq(X0,s(zero))
| leq(s(X0),nbr_proc) )
| ~ spl10_159
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1294]) ).
fof(f1294,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl10_159 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f5335,plain,
( spl10_374
| ~ spl10_160
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1679,f1660,f1297,f5333]) ).
fof(f5333,plain,
( spl10_374
<=> ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_374])]) ).
fof(f1679,plain,
( ! [X0,X1] :
( s(host(X0)) = s(X1)
| ~ leq(X1,host(X0))
| leq(s(X1),nbr_proc) )
| ~ spl10_160
| ~ spl10_195 ),
inference(resolution,[],[f1661,f1298]) ).
fof(f5331,plain,
( spl10_373
| ~ spl10_111
| ~ spl10_193 ),
inference(avatar_split_clause,[],[f1647,f1589,f940,f5329]) ).
fof(f5329,plain,
( spl10_373
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_373])]) ).
fof(f1647,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| sP1(last(X0),cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_193 ),
inference(superposition,[],[f1590,f941]) ).
fof(f5327,plain,
( spl10_372
| ~ spl10_107
| ~ spl10_193 ),
inference(avatar_split_clause,[],[f1645,f1589,f900,f5325]) ).
fof(f5325,plain,
( spl10_372
<=> ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_372])]) ).
fof(f1645,plain,
( ! [X2,X0,X1] :
( sP1(X0,cons(X1,X2))
| ~ sP0(X1,snoc(X2,X0))
| ~ ordered(snoc(X2,X0)) )
| ~ spl10_107
| ~ spl10_193 ),
inference(resolution,[],[f1590,f901]) ).
fof(f5323,plain,
( spl10_371
| ~ spl10_168
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1638,f1577,f1375,f5321]) ).
fof(f5321,plain,
( spl10_371
<=> ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_371])]) ).
fof(f1638,plain,
( ! [X0,X1] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),host(X1)) )
| ~ spl10_168
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1376]) ).
fof(f5319,plain,
( spl10_370
| ~ spl10_110
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1632,f1577,f912,f5317]) ).
fof(f5317,plain,
( spl10_370
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_370])]) ).
fof(f1632,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(X2,X0)
| ~ leq(X2,s(X1)) )
| ~ spl10_110
| ~ spl10_190 ),
inference(resolution,[],[f1578,f913]) ).
fof(f5315,plain,
( spl10_369
| ~ spl10_173
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1631,f1577,f1425,f5313]) ).
fof(f5313,plain,
( spl10_369
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_369])]) ).
fof(f1631,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| leq(s(X1),X2)
| leq(X2,X0) )
| ~ spl10_173
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1426]) ).
fof(f5311,plain,
( spl10_368
| ~ spl10_121
| ~ spl10_182 ),
inference(avatar_split_clause,[],[f1549,f1477,f1013,f5309]) ).
fof(f5309,plain,
( spl10_368
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_368])]) ).
fof(f1477,plain,
( spl10_182
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_182])]) ).
fof(f1549,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X3,cons(X0,snoc(X1,X2))))
| ordered(cons(X3,cons(X0,X1))) )
| ~ spl10_121
| ~ spl10_182 ),
inference(superposition,[],[f1478,f1014]) ).
fof(f1478,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl10_182 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f5307,plain,
( spl10_367
| ~ spl10_121
| ~ spl10_181 ),
inference(avatar_split_clause,[],[f1537,f1473,f1013,f5305]) ).
fof(f5305,plain,
( spl10_367
<=> ! [X0,X3,X2,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_367])]) ).
fof(f1473,plain,
( spl10_181
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_181])]) ).
fof(f1537,plain,
( ! [X2,X3,X0,X1] : cons(X3,cons(X0,X1)) = init(cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl10_121
| ~ spl10_181 ),
inference(superposition,[],[f1474,f1014]) ).
fof(f1474,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl10_181 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f5303,plain,
( spl10_366
| spl10_249
| ~ spl10_263
| ~ spl10_281 ),
inference(avatar_split_clause,[],[f2865,f2794,f2439,f2318,f5300]) ).
fof(f5300,plain,
( spl10_366
<=> leq(zero,index(pendack,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_366])]) ).
fof(f2794,plain,
( spl10_281
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_281])]) ).
fof(f2865,plain,
( leq(zero,index(pendack,host(sK4)))
| spl10_249
| ~ spl10_263
| ~ spl10_281 ),
inference(forward_demodulation,[],[f2850,f2441]) ).
fof(f2850,plain,
( leq(zero,index(pendack,host(sK6)))
| spl10_249
| ~ spl10_281 ),
inference(resolution,[],[f2795,f2320]) ).
fof(f2795,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl10_281 ),
inference(avatar_component_clause,[],[f2794]) ).
fof(f5298,plain,
( spl10_365
| ~ spl10_175
| ~ spl10_180 ),
inference(avatar_split_clause,[],[f1529,f1469,f1446,f5296]) ).
fof(f5296,plain,
( spl10_365
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK9(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_365])]) ).
fof(f1469,plain,
( spl10_180
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK9(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_180])]) ).
fof(f1529,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| ~ leq(X2,pidMsg(X0))
| leq(X2,s(pidMsg(sK9(X0,X1)))) )
| ~ spl10_175
| ~ spl10_180 ),
inference(resolution,[],[f1470,f1447]) ).
fof(f1470,plain,
( ! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK9(X0,X1)))
| sP1(X0,X1) )
| ~ spl10_180 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f4660,plain,
( spl10_364
| ~ spl10_106
| ~ spl10_208 ),
inference(avatar_split_clause,[],[f1867,f1850,f878,f4658]) ).
fof(f1867,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| elem(X1,cons(X2,X3))
| ~ elem(X1,snoc(X3,X0)) )
| ~ spl10_106
| ~ spl10_208 ),
inference(resolution,[],[f1851,f879]) ).
fof(f4650,plain,
( spl10_363
| ~ spl10_70
| ~ spl10_207 ),
inference(avatar_split_clause,[],[f1856,f1846,f672,f4648]) ).
fof(f4648,plain,
( spl10_363
<=> ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_363])]) ).
fof(f672,plain,
( spl10_70
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_70])]) ).
fof(f1856,plain,
( ! [X2,X0,X1] :
( ~ sP1(X0,cons(X1,X2))
| ~ ordered(cons(X1,X2))
| ordered(snoc(X2,X0)) )
| ~ spl10_70
| ~ spl10_207 ),
inference(resolution,[],[f1847,f673]) ).
fof(f673,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl10_70 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f4646,plain,
( spl10_362
| ~ spl10_182
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1782,f1757,f1477,f4644]) ).
fof(f4644,plain,
( spl10_362
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_362])]) ).
fof(f1782,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(cons(head(X0),tail(X0)))
| q_nil = X0 )
| ~ spl10_182
| ~ spl10_202 ),
inference(superposition,[],[f1478,f1758]) ).
fof(f4642,plain,
( spl10_361
| ~ spl10_123
| ~ spl10_196 ),
inference(avatar_split_clause,[],[f1687,f1664,f1021,f4640]) ).
fof(f4640,plain,
( spl10_361
<=> ! [X0,X3,X2,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_361])]) ).
fof(f1687,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,snoc(X2,X3)) )
| ~ spl10_123
| ~ spl10_196 ),
inference(resolution,[],[f1665,f1022]) ).
fof(f4638,plain,
( spl10_360
| ~ spl10_99
| ~ spl10_195 ),
inference(avatar_split_clause,[],[f1680,f1660,f849,f4636]) ).
fof(f4636,plain,
( spl10_360
<=> ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_360])]) ).
fof(f849,plain,
( spl10_99
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_99])]) ).
fof(f1680,plain,
( ! [X0,X1] :
( s(X1) = s(s(X0))
| ~ leq(X1,s(X0))
| leq(X1,X0) )
| ~ spl10_99
| ~ spl10_195 ),
inference(resolution,[],[f1661,f850]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl10_99 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f4634,plain,
( spl10_359
| ~ spl10_120
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1642,f1577,f1007,f4632]) ).
fof(f4632,plain,
( spl10_359
<=> ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_359])]) ).
fof(f1642,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl10_120
| ~ spl10_190 ),
inference(duplicate_literal_removal,[],[f1637]) ).
fof(f1637,plain,
( ! [X0,X1] :
( leq(s(X0),X1)
| s(X0) = s(X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl10_120
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1008]) ).
fof(f4630,plain,
( spl10_358
| ~ spl10_159
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1639,f1577,f1293,f4628]) ).
fof(f4628,plain,
( spl10_358
<=> ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_358])]) ).
fof(f1639,plain,
( ! [X0] :
( leq(s(zero),X0)
| s(zero) = s(X0)
| leq(s(X0),nbr_proc) )
| ~ spl10_159
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1294]) ).
fof(f4626,plain,
( spl10_357
| ~ spl10_160
| ~ spl10_190 ),
inference(avatar_split_clause,[],[f1634,f1577,f1297,f4624]) ).
fof(f4624,plain,
( spl10_357
<=> ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_357])]) ).
fof(f1634,plain,
( ! [X0,X1] :
( leq(host(X0),X1)
| host(X0) = s(X1)
| leq(s(X1),nbr_proc) )
| ~ spl10_160
| ~ spl10_190 ),
inference(resolution,[],[f1578,f1298]) ).
fof(f4622,plain,
( spl10_356
| ~ spl10_86
| ~ spl10_189 ),
inference(avatar_split_clause,[],[f1624,f1573,f763,f4620]) ).
fof(f4620,plain,
( spl10_356
<=> ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK9(m_Down(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_356])]) ).
fof(f1624,plain,
( ! [X0,X1] :
( sP1(m_Down(s(X0)),X1)
| ~ leq(pidMsg(sK9(m_Down(s(X0)),X1)),X0) )
| ~ spl10_86
| ~ spl10_189 ),
inference(resolution,[],[f1574,f764]) ).
fof(f4618,plain,
( spl10_355
| ~ spl10_86
| ~ spl10_188 ),
inference(avatar_split_clause,[],[f1620,f1569,f763,f4616]) ).
fof(f4616,plain,
( spl10_355
<=> ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK9(m_Halt(s(X0)),X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_355])]) ).
fof(f1569,plain,
( spl10_188
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_188])]) ).
fof(f1620,plain,
( ! [X0,X1] :
( sP1(m_Halt(s(X0)),X1)
| ~ leq(pidMsg(sK9(m_Halt(s(X0)),X1)),X0) )
| ~ spl10_86
| ~ spl10_188 ),
inference(resolution,[],[f1570,f764]) ).
fof(f1570,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl10_188 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f4614,plain,
( spl10_354
| ~ spl10_86
| ~ spl10_184 ),
inference(avatar_split_clause,[],[f1604,f1553,f763,f4612]) ).
fof(f4612,plain,
( spl10_354
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_354])]) ).
fof(f1553,plain,
( spl10_184
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_184])]) ).
fof(f1604,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(s(X0),X1) )
| ~ spl10_86
| ~ spl10_184 ),
inference(resolution,[],[f1554,f764]) ).
fof(f1554,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) )
| ~ spl10_184 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f4596,plain,
( spl10_353
| ~ spl10_107
| ~ spl10_182 ),
inference(avatar_split_clause,[],[f1546,f1477,f900,f4594]) ).
fof(f4594,plain,
( spl10_353
<=> ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_353])]) ).
fof(f1546,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,snoc(X1,X2))
| ~ ordered(snoc(X1,X2)) )
| ~ spl10_107
| ~ spl10_182 ),
inference(resolution,[],[f1478,f901]) ).
fof(f4592,plain,
( spl10_352
| ~ spl10_110
| ~ spl10_180 ),
inference(avatar_split_clause,[],[f1531,f1469,f912,f4590]) ).
fof(f4590,plain,
( spl10_352
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK9(X0,X1)))
| ~ leq(X2,pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_352])]) ).
fof(f1531,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(X2,pidMsg(sK9(X0,X1)))
| ~ leq(X2,pidMsg(X0)) )
| ~ spl10_110
| ~ spl10_180 ),
inference(resolution,[],[f1470,f913]) ).
fof(f4588,plain,
( spl10_351
| ~ spl10_173
| ~ spl10_180 ),
inference(avatar_split_clause,[],[f1530,f1469,f1425,f4586]) ).
fof(f4586,plain,
( spl10_351
<=> ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK9(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_351])]) ).
fof(f1530,plain,
( ! [X2,X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),X2)
| leq(X2,pidMsg(sK9(X0,X1))) )
| ~ spl10_173
| ~ spl10_180 ),
inference(resolution,[],[f1470,f1426]) ).
fof(f4584,plain,
( spl10_350
| ~ spl10_101
| ~ spl10_179 ),
inference(avatar_split_clause,[],[f1522,f1465,f857,f4582]) ).
fof(f4582,plain,
( spl10_350
<=> ! [X0,X1] :
( elem(sK9(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_350])]) ).
fof(f1522,plain,
( ! [X0,X1] :
( elem(sK9(X0,tail(X1)),X1)
| q_nil = X1
| sP1(X0,tail(X1)) )
| ~ spl10_101
| ~ spl10_179 ),
inference(resolution,[],[f1466,f858]) ).
fof(f4580,plain,
( spl10_349
| ~ spl10_100
| ~ spl10_179 ),
inference(avatar_split_clause,[],[f1521,f1465,f853,f4578]) ).
fof(f4578,plain,
( spl10_349
<=> ! [X0,X1] :
( elem(sK8(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_349])]) ).
fof(f1521,plain,
( ! [X0,X1] :
( elem(sK8(X0,tail(X1)),X1)
| q_nil = X1
| sP0(X0,tail(X1)) )
| ~ spl10_100
| ~ spl10_179 ),
inference(resolution,[],[f1466,f854]) ).
fof(f4576,plain,
( spl10_348
| ~ spl10_101
| ~ spl10_177 ),
inference(avatar_split_clause,[],[f1510,f1454,f857,f4574]) ).
fof(f4574,plain,
( spl10_348
<=> ! [X0,X1] :
( elem(sK9(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_348])]) ).
fof(f1510,plain,
( ! [X0,X1] :
( elem(sK9(X0,init(X1)),X1)
| q_nil = X1
| sP1(X0,init(X1)) )
| ~ spl10_101
| ~ spl10_177 ),
inference(resolution,[],[f1455,f858]) ).
fof(f4572,plain,
( spl10_347
| ~ spl10_100
| ~ spl10_177 ),
inference(avatar_split_clause,[],[f1509,f1454,f853,f4570]) ).
fof(f4570,plain,
( spl10_347
<=> ! [X0,X1] :
( elem(sK8(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_347])]) ).
fof(f1509,plain,
( ! [X0,X1] :
( elem(sK8(X0,init(X1)),X1)
| q_nil = X1
| sP0(X0,init(X1)) )
| ~ spl10_100
| ~ spl10_177 ),
inference(resolution,[],[f1455,f854]) ).
fof(f4208,plain,
( spl10_346
| ~ spl10_25
| ~ spl10_80
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1936,f1885,f739,f457,f4206]) ).
fof(f4206,plain,
( spl10_346
<=> ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK9(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_346])]) ).
fof(f457,plain,
( spl10_25
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
fof(f1936,plain,
( ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK9(X0,cons(X1,q_nil)) = X1 )
| ~ spl10_25
| ~ spl10_80
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1935,f740]) ).
fof(f1935,plain,
( ! [X0,X1] :
( sK9(X0,cons(X1,q_nil)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl10_25
| ~ spl10_80
| ~ spl10_210 ),
inference(forward_demodulation,[],[f1923,f740]) ).
fof(f1923,plain,
( ! [X0,X1] :
( sK9(X0,snoc(q_nil,X1)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl10_25
| ~ spl10_210 ),
inference(resolution,[],[f1886,f458]) ).
fof(f458,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f4204,plain,
( spl10_345
| ~ spl10_25
| ~ spl10_80
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1916,f1881,f739,f457,f4202]) ).
fof(f4202,plain,
( spl10_345
<=> ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK8(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_345])]) ).
fof(f1916,plain,
( ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK8(X0,cons(X1,q_nil)) = X1 )
| ~ spl10_25
| ~ spl10_80
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1915,f740]) ).
fof(f1915,plain,
( ! [X0,X1] :
( sK8(X0,cons(X1,q_nil)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl10_25
| ~ spl10_80
| ~ spl10_209 ),
inference(forward_demodulation,[],[f1903,f740]) ).
fof(f1903,plain,
( ! [X0,X1] :
( sK8(X0,snoc(q_nil,X1)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl10_25
| ~ spl10_209 ),
inference(resolution,[],[f1882,f458]) ).
fof(f4200,plain,
( spl10_344
| ~ spl10_44
| ~ spl10_206 ),
inference(avatar_split_clause,[],[f1844,f1773,f561,f4198]) ).
fof(f4198,plain,
( spl10_344
<=> ! [X0] :
( sK7(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_344])]) ).
fof(f1844,plain,
( ! [X0] :
( sK7(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) )
| ~ spl10_44
| ~ spl10_206 ),
inference(forward_demodulation,[],[f1832,f562]) ).
fof(f1832,plain,
( ! [X0] :
( pidMsg(m_Down(X0)) = sK7(m_Down(X0))
| m_Down(X0) = m_Halt(sK7(m_Down(X0))) )
| ~ spl10_44
| ~ spl10_206 ),
inference(superposition,[],[f562,f1774]) ).
fof(f4196,plain,
( spl10_343
| ~ spl10_43
| ~ spl10_44
| ~ spl10_205 ),
inference(avatar_split_clause,[],[f1828,f1769,f561,f557,f4194]) ).
fof(f4194,plain,
( spl10_343
<=> ! [X0] :
( sK7(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK7(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_343])]) ).
fof(f1769,plain,
( spl10_205
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK7(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK7(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_205])]) ).
fof(f1828,plain,
( ! [X0] :
( sK7(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK7(m_Halt(X0))) )
| ~ spl10_43
| ~ spl10_44
| ~ spl10_205 ),
inference(forward_demodulation,[],[f1818,f558]) ).
fof(f1818,plain,
( ! [X0] :
( pidMsg(m_Halt(X0)) = sK7(m_Halt(X0))
| m_Halt(X0) = m_Halt(sK7(m_Halt(X0))) )
| ~ spl10_44
| ~ spl10_205 ),
inference(superposition,[],[f562,f1770]) ).
fof(f1770,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK7(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK7(m_Halt(X0))) )
| ~ spl10_205 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f4192,plain,
( spl10_342
| ~ spl10_53
| ~ spl10_205 ),
inference(avatar_split_clause,[],[f1819,f1769,f598,f4190]) ).
fof(f4190,plain,
( spl10_342
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK7(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_342])]) ).
fof(f1819,plain,
( ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK7(m_Halt(X0))) )
| ~ spl10_53
| ~ spl10_205 ),
inference(superposition,[],[f599,f1770]) ).
fof(f4188,plain,
( spl10_341
| ~ spl10_263
| ~ spl10_308 ),
inference(avatar_split_clause,[],[f3375,f3371,f2439,f4185]) ).
fof(f4185,plain,
( spl10_341
<=> leq(host(sK4),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_341])]) ).
fof(f3371,plain,
( spl10_308
<=> leq(host(sK6),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_308])]) ).
fof(f3375,plain,
( leq(host(sK4),s(host(sK5)))
| ~ spl10_263
| ~ spl10_308 ),
inference(forward_demodulation,[],[f3373,f2441]) ).
fof(f3373,plain,
( leq(host(sK6),s(host(sK5)))
| ~ spl10_308 ),
inference(avatar_component_clause,[],[f3371]) ).
fof(f4183,plain,
( spl10_340
| ~ spl10_70
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1792,f1757,f672,f4181]) ).
fof(f4181,plain,
( spl10_340
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_340])]) ).
fof(f1792,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl10_70
| ~ spl10_202 ),
inference(superposition,[],[f673,f1758]) ).
fof(f4179,plain,
( spl10_339
| ~ spl10_66
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1791,f1757,f656,f4177]) ).
fof(f4177,plain,
( spl10_339
<=> ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_339])]) ).
fof(f656,plain,
( spl10_66
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_66])]) ).
fof(f1791,plain,
( ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 )
| ~ spl10_66
| ~ spl10_202 ),
inference(superposition,[],[f657,f1758]) ).
fof(f657,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl10_66 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f4175,plain,
( spl10_338
| ~ spl10_80
| ~ spl10_197 ),
inference(avatar_split_clause,[],[f1697,f1668,f739,f4173]) ).
fof(f4173,plain,
( spl10_338
<=> ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_338])]) ).
fof(f1697,plain,
( ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) )
| ~ spl10_80
| ~ spl10_197 ),
inference(superposition,[],[f1669,f740]) ).
fof(f4171,plain,
( spl10_337
| ~ spl10_80
| ~ spl10_196 ),
inference(avatar_split_clause,[],[f1688,f1664,f739,f4169]) ).
fof(f4169,plain,
( spl10_337
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_337])]) ).
fof(f1688,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) )
| ~ spl10_80
| ~ spl10_196 ),
inference(superposition,[],[f1665,f740]) ).
fof(f4167,plain,
( spl10_336
| ~ spl10_98
| ~ spl10_184 ),
inference(avatar_split_clause,[],[f1598,f1553,f845,f4165]) ).
fof(f4165,plain,
( spl10_336
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_336])]) ).
fof(f1598,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) )
| ~ spl10_98
| ~ spl10_184 ),
inference(resolution,[],[f1554,f846]) ).
fof(f4163,plain,
( spl10_335
| ~ spl10_111
| ~ spl10_182 ),
inference(avatar_split_clause,[],[f1548,f1477,f940,f4161]) ).
fof(f4161,plain,
( spl10_335
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_335])]) ).
fof(f1548,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_182 ),
inference(superposition,[],[f1478,f941]) ).
fof(f4159,plain,
( spl10_334
| ~ spl10_111
| ~ spl10_181 ),
inference(avatar_split_clause,[],[f1536,f1473,f940,f4157]) ).
fof(f4157,plain,
( spl10_334
<=> ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_334])]) ).
fof(f1536,plain,
( ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_181 ),
inference(superposition,[],[f1474,f941]) ).
fof(f4155,plain,
( spl10_333
| ~ spl10_161
| ~ spl10_179 ),
inference(avatar_split_clause,[],[f1520,f1465,f1301,f4153]) ).
fof(f4153,plain,
( spl10_333
<=> ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_333])]) ).
fof(f1520,plain,
( ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl10_161
| ~ spl10_179 ),
inference(resolution,[],[f1466,f1302]) ).
fof(f4151,plain,
( spl10_332
| ~ spl10_162
| ~ spl10_179 ),
inference(avatar_split_clause,[],[f1519,f1465,f1305,f4149]) ).
fof(f4149,plain,
( spl10_332
<=> ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_332])]) ).
fof(f1519,plain,
( ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl10_162
| ~ spl10_179 ),
inference(resolution,[],[f1466,f1306]) ).
fof(f4147,plain,
( spl10_331
| ~ spl10_161
| ~ spl10_177 ),
inference(avatar_split_clause,[],[f1508,f1454,f1301,f4145]) ).
fof(f4145,plain,
( spl10_331
<=> ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_331])]) ).
fof(f1508,plain,
( ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl10_161
| ~ spl10_177 ),
inference(resolution,[],[f1455,f1302]) ).
fof(f4143,plain,
( ~ spl10_330
| spl10_36
| ~ spl10_263
| ~ spl10_278 ),
inference(avatar_split_clause,[],[f2786,f2638,f2439,f521,f4140]) ).
fof(f4140,plain,
( spl10_330
<=> leq(index(pendack,host(sK4)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_330])]) ).
fof(f2786,plain,
( ~ leq(index(pendack,host(sK4)),zero)
| spl10_36
| ~ spl10_263
| ~ spl10_278 ),
inference(forward_demodulation,[],[f2768,f2441]) ).
fof(f2768,plain,
( ~ leq(index(pendack,host(sK6)),zero)
| spl10_36
| ~ spl10_278 ),
inference(resolution,[],[f2639,f523]) ).
fof(f4138,plain,
( spl10_329
| ~ spl10_162
| ~ spl10_177 ),
inference(avatar_split_clause,[],[f1507,f1454,f1305,f4136]) ).
fof(f4136,plain,
( spl10_329
<=> ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_329])]) ).
fof(f1507,plain,
( ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl10_162
| ~ spl10_177 ),
inference(resolution,[],[f1455,f1306]) ).
fof(f4134,plain,
( spl10_328
| ~ spl10_98
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1486,f1446,f845,f4132]) ).
fof(f4132,plain,
( spl10_328
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_328])]) ).
fof(f1486,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl10_98
| ~ spl10_175 ),
inference(resolution,[],[f1447,f846]) ).
fof(f4130,plain,
( spl10_327
| ~ spl10_164
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1485,f1446,f1353,f4128]) ).
fof(f4128,plain,
( spl10_327
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_327])]) ).
fof(f1353,plain,
( spl10_164
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_164])]) ).
fof(f1485,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) )
| ~ spl10_164
| ~ spl10_175 ),
inference(resolution,[],[f1447,f1354]) ).
fof(f1354,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl10_164 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f4126,plain,
( spl10_326
| ~ spl10_120
| ~ spl10_164 ),
inference(avatar_split_clause,[],[f1391,f1353,f1007,f4124]) ).
fof(f1391,plain,
( ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl10_120
| ~ spl10_164 ),
inference(resolution,[],[f1354,f1008]) ).
fof(f4039,plain,
( ~ spl10_325
| ~ spl10_263
| spl10_264 ),
inference(avatar_split_clause,[],[f2536,f2466,f2439,f4036]) ).
fof(f2536,plain,
( ~ leq(s(host(sK5)),host(sK4))
| ~ spl10_263
| spl10_264 ),
inference(superposition,[],[f2468,f2441]) ).
fof(f3608,plain,
( spl10_324
| ~ spl10_59
| ~ spl10_200 ),
inference(avatar_split_clause,[],[f1745,f1710,f622,f3606]) ).
fof(f3606,plain,
( spl10_324
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_324])]) ).
fof(f622,plain,
( spl10_59
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_59])]) ).
fof(f1745,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) )
| ~ spl10_59
| ~ spl10_200 ),
inference(resolution,[],[f1711,f623]) ).
fof(f623,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl10_59 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f3604,plain,
( spl10_323
| ~ spl10_60
| ~ spl10_199 ),
inference(avatar_split_clause,[],[f1729,f1706,f626,f3602]) ).
fof(f3602,plain,
( spl10_323
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_323])]) ).
fof(f626,plain,
( spl10_60
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_60])]) ).
fof(f1729,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) )
| ~ spl10_60
| ~ spl10_199 ),
inference(resolution,[],[f1707,f627]) ).
fof(f627,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) )
| ~ spl10_60 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f3600,plain,
( spl10_322
| ~ spl10_132
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2518,f2439,f1118,f3597]) ).
fof(f1118,plain,
( spl10_132
<=> sK6 = index(elid,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_132])]) ).
fof(f2518,plain,
( sK6 = index(elid,host(sK4))
| ~ spl10_132
| ~ spl10_263 ),
inference(superposition,[],[f1120,f2441]) ).
fof(f1120,plain,
( sK6 = index(elid,host(sK6))
| ~ spl10_132 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f3595,plain,
( spl10_321
| ~ spl10_98
| ~ spl10_198 ),
inference(avatar_split_clause,[],[f1718,f1702,f845,f3593]) ).
fof(f3593,plain,
( spl10_321
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_321])]) ).
fof(f1718,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
| ~ spl10_98
| ~ spl10_198 ),
inference(resolution,[],[f1703,f846]) ).
fof(f3591,plain,
( spl10_320
| ~ spl10_83
| ~ spl10_197 ),
inference(avatar_split_clause,[],[f1695,f1668,f751,f3589]) ).
fof(f3589,plain,
( spl10_320
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_320])]) ).
fof(f1695,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) )
| ~ spl10_83
| ~ spl10_197 ),
inference(resolution,[],[f1669,f752]) ).
fof(f3587,plain,
( spl10_319
| ~ spl10_80
| ~ spl10_194 ),
inference(avatar_split_clause,[],[f1655,f1593,f739,f3585]) ).
fof(f3585,plain,
( spl10_319
<=> ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_319])]) ).
fof(f1655,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl10_80
| ~ spl10_194 ),
inference(superposition,[],[f1594,f740]) ).
fof(f3583,plain,
( spl10_318
| ~ spl10_80
| ~ spl10_193 ),
inference(avatar_split_clause,[],[f1646,f1589,f739,f3581]) ).
fof(f3581,plain,
( spl10_318
<=> ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_318])]) ).
fof(f1646,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) )
| ~ spl10_80
| ~ spl10_193 ),
inference(superposition,[],[f1590,f740]) ).
fof(f3579,plain,
( spl10_317
| ~ spl10_98
| ~ spl10_185 ),
inference(avatar_split_clause,[],[f1613,f1557,f845,f3577]) ).
fof(f1613,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) )
| ~ spl10_98
| ~ spl10_185 ),
inference(resolution,[],[f1558,f846]) ).
fof(f3575,plain,
( spl10_316
| ~ spl10_164
| ~ spl10_185 ),
inference(avatar_split_clause,[],[f1612,f1557,f1353,f3573]) ).
fof(f1612,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) )
| ~ spl10_164
| ~ spl10_185 ),
inference(resolution,[],[f1558,f1354]) ).
fof(f3571,plain,
( spl10_315
| ~ spl10_44
| ~ spl10_180 ),
inference(avatar_split_clause,[],[f1534,f1469,f561,f3569]) ).
fof(f3569,plain,
( spl10_315
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK9(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_315])]) ).
fof(f1534,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK9(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) )
| ~ spl10_44
| ~ spl10_180 ),
inference(superposition,[],[f1470,f562]) ).
fof(f3567,plain,
( spl10_314
| ~ spl10_43
| ~ spl10_180 ),
inference(avatar_split_clause,[],[f1533,f1469,f557,f3565]) ).
fof(f3565,plain,
( spl10_314
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK9(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_314])]) ).
fof(f1533,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK9(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) )
| ~ spl10_43
| ~ spl10_180 ),
inference(superposition,[],[f1470,f558]) ).
fof(f3563,plain,
( spl10_313
| ~ spl10_86
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1492,f1446,f763,f3561]) ).
fof(f1492,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl10_86
| ~ spl10_175 ),
inference(resolution,[],[f1447,f764]) ).
fof(f3559,plain,
( spl10_312
| ~ spl10_98
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1430,f1425,f845,f3557]) ).
fof(f3557,plain,
( spl10_312
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_312])]) ).
fof(f1430,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl10_98
| ~ spl10_173 ),
inference(resolution,[],[f1426,f846]) ).
fof(f3555,plain,
( spl10_311
| ~ spl10_10
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2515,f2439,f381,f3552]) ).
fof(f381,plain,
( spl10_10
<=> elec_2 = index(status,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f2515,plain,
( elec_2 = index(status,host(sK4))
| ~ spl10_10
| ~ spl10_263 ),
inference(superposition,[],[f383,f2441]) ).
fof(f383,plain,
( elec_2 = index(status,host(sK6))
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f3550,plain,
( spl10_310
| ~ spl10_164
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1429,f1425,f1353,f3548]) ).
fof(f1429,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl10_164
| ~ spl10_173 ),
inference(resolution,[],[f1426,f1354]) ).
fof(f3546,plain,
( spl10_309
| ~ spl10_110
| ~ spl10_164 ),
inference(avatar_split_clause,[],[f1396,f1353,f912,f3544]) ).
fof(f3544,plain,
( spl10_309
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_309])]) ).
fof(f1396,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) )
| ~ spl10_110
| ~ spl10_164 ),
inference(resolution,[],[f1354,f913]) ).
fof(f3374,plain,
( spl10_308
| ~ spl10_69
| spl10_264 ),
inference(avatar_split_clause,[],[f2473,f2466,f668,f3371]) ).
fof(f2473,plain,
( leq(host(sK6),s(host(sK5)))
| ~ spl10_69
| spl10_264 ),
inference(resolution,[],[f2468,f669]) ).
fof(f3369,plain,
( spl10_307
| ~ spl10_65
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1790,f1757,f652,f3367]) ).
fof(f3367,plain,
( spl10_307
<=> ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_307])]) ).
fof(f1790,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl10_65
| ~ spl10_202 ),
inference(superposition,[],[f653,f1758]) ).
fof(f3365,plain,
( spl10_306
| ~ spl10_70
| ~ spl10_197 ),
inference(avatar_split_clause,[],[f1696,f1668,f672,f3363]) ).
fof(f1696,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl10_70
| ~ spl10_197 ),
inference(resolution,[],[f1669,f673]) ).
fof(f3361,plain,
( spl10_305
| ~ spl10_83
| ~ spl10_194 ),
inference(avatar_split_clause,[],[f1653,f1593,f751,f3359]) ).
fof(f3359,plain,
( spl10_305
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_305])]) ).
fof(f1653,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) )
| ~ spl10_83
| ~ spl10_194 ),
inference(resolution,[],[f1594,f752]) ).
fof(f3357,plain,
( spl10_304
| ~ spl10_80
| ~ spl10_181 ),
inference(avatar_split_clause,[],[f1535,f1473,f739,f3355]) ).
fof(f3355,plain,
( spl10_304
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_304])]) ).
fof(f1535,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl10_80
| ~ spl10_181 ),
inference(superposition,[],[f1474,f740]) ).
fof(f3353,plain,
( spl10_303
| ~ spl10_69
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1490,f1446,f668,f3351]) ).
fof(f1490,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl10_69
| ~ spl10_175 ),
inference(resolution,[],[f1447,f669]) ).
fof(f3349,plain,
( spl10_302
| ~ spl10_86
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1436,f1425,f763,f3347]) ).
fof(f1436,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl10_86
| ~ spl10_173 ),
inference(resolution,[],[f1426,f764]) ).
fof(f3345,plain,
( spl10_301
| ~ spl10_121
| ~ spl10_171 ),
inference(avatar_split_clause,[],[f1419,f1387,f1013,f3343]) ).
fof(f3343,plain,
( spl10_301
<=> ! [X2,X0,X1,X3] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_301])]) ).
fof(f1387,plain,
( spl10_171
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_171])]) ).
fof(f1419,plain,
( ! [X2,X3,X0,X1] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2
| ~ spl10_121
| ~ spl10_171 ),
inference(superposition,[],[f1388,f1014]) ).
fof(f1388,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl10_171 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f3341,plain,
( spl10_300
| ~ spl10_111
| ~ spl10_171 ),
inference(avatar_split_clause,[],[f1418,f1387,f940,f3339]) ).
fof(f1418,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_171 ),
inference(superposition,[],[f1388,f941]) ).
fof(f3038,plain,
( spl10_299
| ~ spl10_62
| ~ spl10_202 ),
inference(avatar_split_clause,[],[f1789,f1757,f634,f3036]) ).
fof(f3036,plain,
( spl10_299
<=> ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_299])]) ).
fof(f1789,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl10_62
| ~ spl10_202 ),
inference(superposition,[],[f635,f1758]) ).
fof(f3034,plain,
( spl10_298
| ~ spl10_70
| ~ spl10_194 ),
inference(avatar_split_clause,[],[f1654,f1593,f672,f3032]) ).
fof(f1654,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl10_70
| ~ spl10_194 ),
inference(resolution,[],[f1594,f673]) ).
fof(f3030,plain,
( spl10_297
| ~ spl10_45
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1484,f1446,f565,f3028]) ).
fof(f565,plain,
( spl10_45
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_45])]) ).
fof(f1484,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) )
| ~ spl10_45
| ~ spl10_175 ),
inference(resolution,[],[f1447,f566]) ).
fof(f566,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl10_45 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f3026,plain,
( spl10_296
| ~ spl10_69
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1434,f1425,f668,f3024]) ).
fof(f1434,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl10_69
| ~ spl10_173 ),
inference(resolution,[],[f1426,f669]) ).
fof(f3022,plain,
( spl10_295
| ~ spl10_121
| ~ spl10_163 ),
inference(avatar_split_clause,[],[f1350,f1311,f1013,f3020]) ).
fof(f3020,plain,
( spl10_295
<=> ! [X0,X3,X2,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_295])]) ).
fof(f1311,plain,
( spl10_163
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_163])]) ).
fof(f1350,plain,
( ! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl10_121
| ~ spl10_163 ),
inference(superposition,[],[f1312,f1014]) ).
fof(f1312,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl10_163 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f3018,plain,
( spl10_294
| ~ spl10_111
| ~ spl10_163 ),
inference(avatar_split_clause,[],[f1349,f1311,f940,f3016]) ).
fof(f1349,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_163 ),
inference(superposition,[],[f1312,f941]) ).
fof(f3014,plain,
( spl10_293
| ~ spl10_69
| spl10_266 ),
inference(avatar_split_clause,[],[f2609,f2494,f668,f3011]) ).
fof(f3011,plain,
( spl10_293
<=> leq(nbr_proc,s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_293])]) ).
fof(f2609,plain,
( leq(nbr_proc,s(host(sK5)))
| ~ spl10_69
| spl10_266 ),
inference(resolution,[],[f2495,f669]) ).
fof(f2495,plain,
( ~ leq(s(host(sK5)),nbr_proc)
| spl10_266 ),
inference(avatar_component_clause,[],[f2494]) ).
fof(f3009,plain,
( spl10_292
| ~ spl10_136
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1948,f1894,f1141,f3007]) ).
fof(f3007,plain,
( spl10_292
<=> ! [X0,X1] :
( sK9(X0,cons(X1,queue(host(sK5)))) = X1
| sP1(X0,cons(X1,queue(host(sK5))))
| m_Down(sK4) = sK9(X0,cons(X1,queue(host(sK5))))
| elem(sK9(X0,cons(X1,queue(host(sK5)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_292])]) ).
fof(f1141,plain,
( spl10_136
<=> ! [X0] :
( ~ elem(X0,queue(host(sK5)))
| m_Down(sK4) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_136])]) ).
fof(f1948,plain,
( ! [X0,X1] :
( sK9(X0,cons(X1,queue(host(sK5)))) = X1
| sP1(X0,cons(X1,queue(host(sK5))))
| m_Down(sK4) = sK9(X0,cons(X1,queue(host(sK5))))
| elem(sK9(X0,cons(X1,queue(host(sK5)))),sK2) )
| ~ spl10_136
| ~ spl10_212 ),
inference(resolution,[],[f1895,f1142]) ).
fof(f1142,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK5)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl10_136 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f3005,plain,
( spl10_291
| ~ spl10_136
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1937,f1889,f1141,f3003]) ).
fof(f3003,plain,
( spl10_291
<=> ! [X0,X1] :
( sK8(X0,cons(X1,queue(host(sK5)))) = X1
| sP0(X0,cons(X1,queue(host(sK5))))
| m_Down(sK4) = sK8(X0,cons(X1,queue(host(sK5))))
| elem(sK8(X0,cons(X1,queue(host(sK5)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_291])]) ).
fof(f1937,plain,
( ! [X0,X1] :
( sK8(X0,cons(X1,queue(host(sK5)))) = X1
| sP0(X0,cons(X1,queue(host(sK5))))
| m_Down(sK4) = sK8(X0,cons(X1,queue(host(sK5))))
| elem(sK8(X0,cons(X1,queue(host(sK5)))),sK2) )
| ~ spl10_136
| ~ spl10_211 ),
inference(resolution,[],[f1890,f1142]) ).
fof(f3001,plain,
( spl10_290
| ~ spl10_136
| ~ spl10_210 ),
inference(avatar_split_clause,[],[f1917,f1885,f1141,f2999]) ).
fof(f2999,plain,
( spl10_290
<=> ! [X0,X1] :
( sK9(X0,snoc(queue(host(sK5)),X1)) = X1
| sP1(X0,snoc(queue(host(sK5)),X1))
| m_Down(sK4) = sK9(X0,snoc(queue(host(sK5)),X1))
| elem(sK9(X0,snoc(queue(host(sK5)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_290])]) ).
fof(f1917,plain,
( ! [X0,X1] :
( sK9(X0,snoc(queue(host(sK5)),X1)) = X1
| sP1(X0,snoc(queue(host(sK5)),X1))
| m_Down(sK4) = sK9(X0,snoc(queue(host(sK5)),X1))
| elem(sK9(X0,snoc(queue(host(sK5)),X1)),sK2) )
| ~ spl10_136
| ~ spl10_210 ),
inference(resolution,[],[f1886,f1142]) ).
fof(f2997,plain,
( spl10_289
| ~ spl10_136
| ~ spl10_209 ),
inference(avatar_split_clause,[],[f1897,f1881,f1141,f2995]) ).
fof(f2995,plain,
( spl10_289
<=> ! [X0,X1] :
( sK8(X0,snoc(queue(host(sK5)),X1)) = X1
| sP0(X0,snoc(queue(host(sK5)),X1))
| m_Down(sK4) = sK8(X0,snoc(queue(host(sK5)),X1))
| elem(sK8(X0,snoc(queue(host(sK5)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_289])]) ).
fof(f1897,plain,
( ! [X0,X1] :
( sK8(X0,snoc(queue(host(sK5)),X1)) = X1
| sP0(X0,snoc(queue(host(sK5)),X1))
| m_Down(sK4) = sK8(X0,snoc(queue(host(sK5)),X1))
| elem(sK8(X0,snoc(queue(host(sK5)),X1)),sK2) )
| ~ spl10_136
| ~ spl10_209 ),
inference(resolution,[],[f1882,f1142]) ).
fof(f2825,plain,
( spl10_288
| ~ spl10_40
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1495,f1446,f544,f2823]) ).
fof(f544,plain,
( spl10_40
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_40])]) ).
fof(f1495,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl10_40
| ~ spl10_175 ),
inference(resolution,[],[f1447,f545]) ).
fof(f545,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl10_40 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f2821,plain,
( spl10_287
| ~ spl10_144
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1493,f1446,f1196,f2819]) ).
fof(f2819,plain,
( spl10_287
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_287])]) ).
fof(f1196,plain,
( spl10_144
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_144])]) ).
fof(f1493,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl10_144
| ~ spl10_175 ),
inference(resolution,[],[f1447,f1197]) ).
fof(f1197,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl10_144 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f2817,plain,
( spl10_286
| ~ spl10_38
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1487,f1446,f535,f2815]) ).
fof(f2815,plain,
( spl10_286
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_286])]) ).
fof(f535,plain,
( spl10_38
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_38])]) ).
fof(f1487,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl10_38
| ~ spl10_175 ),
inference(resolution,[],[f1447,f537]) ).
fof(f537,plain,
( leq(s(zero),nbr_proc)
| ~ spl10_38 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f2813,plain,
( spl10_285
| ~ spl10_80
| ~ spl10_171 ),
inference(avatar_split_clause,[],[f1417,f1387,f739,f2811]) ).
fof(f2811,plain,
( spl10_285
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_285])]) ).
fof(f1417,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl10_80
| ~ spl10_171 ),
inference(superposition,[],[f1388,f740]) ).
fof(f2809,plain,
( ~ spl10_284
| spl10_266
| ~ spl10_273 ),
inference(avatar_split_clause,[],[f2687,f2618,f2494,f2806]) ).
fof(f2806,plain,
( spl10_284
<=> leq(host(sK5),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_284])]) ).
fof(f2618,plain,
( spl10_273
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_273])]) ).
fof(f2687,plain,
( ~ leq(host(sK5),zero)
| spl10_266
| ~ spl10_273 ),
inference(resolution,[],[f2619,f2495]) ).
fof(f2619,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl10_273 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2804,plain,
( spl10_283
| ~ spl10_69
| ~ spl10_168 ),
inference(avatar_split_clause,[],[f1406,f1375,f668,f2802]) ).
fof(f1406,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl10_69
| ~ spl10_168 ),
inference(resolution,[],[f1376,f669]) ).
fof(f2800,plain,
( spl10_282
| ~ spl10_98
| ~ spl10_168 ),
inference(avatar_split_clause,[],[f1402,f1375,f845,f2798]) ).
fof(f2798,plain,
( spl10_282
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_282])]) ).
fof(f1402,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl10_98
| ~ spl10_168 ),
inference(resolution,[],[f1376,f846]) ).
fof(f2796,plain,
( spl10_281
| ~ spl10_164
| ~ spl10_168 ),
inference(avatar_split_clause,[],[f1401,f1375,f1353,f2794]) ).
fof(f1401,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl10_164
| ~ spl10_168 ),
inference(resolution,[],[f1376,f1354]) ).
fof(f2792,plain,
( spl10_280
| ~ spl10_86
| ~ spl10_157 ),
inference(avatar_split_clause,[],[f1321,f1285,f763,f2790]) ).
fof(f1321,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl10_86
| ~ spl10_157 ),
inference(resolution,[],[f1286,f764]) ).
fof(f2686,plain,
( ~ spl10_279
| spl10_9
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2514,f2439,f376,f2683]) ).
fof(f2683,plain,
( spl10_279
<=> host(sK4) = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_279])]) ).
fof(f376,plain,
( spl10_9
<=> host(sK5) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f2514,plain,
( host(sK4) != host(sK5)
| spl10_9
| ~ spl10_263 ),
inference(superposition,[],[f378,f2441]) ).
fof(f378,plain,
( host(sK5) != host(sK6)
| spl10_9 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f2640,plain,
( spl10_278
| ~ spl10_86
| ~ spl10_168 ),
inference(avatar_split_clause,[],[f1403,f1375,f763,f2638]) ).
fof(f1403,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl10_86
| ~ spl10_168 ),
inference(resolution,[],[f1376,f764]) ).
fof(f2636,plain,
( spl10_277
| ~ spl10_159
| ~ spl10_164 ),
inference(avatar_split_clause,[],[f1392,f1353,f1293,f2634]) ).
fof(f2634,plain,
( spl10_277
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_277])]) ).
fof(f1392,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl10_159
| ~ spl10_164 ),
inference(resolution,[],[f1354,f1294]) ).
fof(f2632,plain,
( spl10_276
| ~ spl10_80
| ~ spl10_163 ),
inference(avatar_split_clause,[],[f1348,f1311,f739,f2630]) ).
fof(f2630,plain,
( spl10_276
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_276])]) ).
fof(f1348,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl10_80
| ~ spl10_163 ),
inference(superposition,[],[f1312,f740]) ).
fof(f2628,plain,
( spl10_275
| ~ spl10_69
| ~ spl10_160 ),
inference(avatar_split_clause,[],[f1332,f1297,f668,f2626]) ).
fof(f2626,plain,
( spl10_275
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_275])]) ).
fof(f1332,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl10_69
| ~ spl10_160 ),
inference(resolution,[],[f1298,f669]) ).
fof(f2624,plain,
( spl10_274
| ~ spl10_69
| ~ spl10_159 ),
inference(avatar_split_clause,[],[f1328,f1293,f668,f2622]) ).
fof(f2622,plain,
( spl10_274
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_274])]) ).
fof(f1328,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl10_69
| ~ spl10_159 ),
inference(resolution,[],[f1294,f669]) ).
fof(f2620,plain,
( spl10_273
| ~ spl10_98
| ~ spl10_159 ),
inference(avatar_split_clause,[],[f1324,f1293,f845,f2618]) ).
fof(f1324,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl10_98
| ~ spl10_159 ),
inference(resolution,[],[f1294,f846]) ).
fof(f2616,plain,
( spl10_272
| ~ spl10_69
| ~ spl10_157 ),
inference(avatar_split_clause,[],[f1319,f1285,f668,f2614]) ).
fof(f1319,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl10_69
| ~ spl10_157 ),
inference(resolution,[],[f1286,f669]) ).
fof(f2606,plain,
( spl10_271
| ~ spl10_135
| ~ spl10_212 ),
inference(avatar_split_clause,[],[f1956,f1894,f1137,f2604]) ).
fof(f2604,plain,
( spl10_271
<=> ! [X0,X1] :
( elem(sK9(X1,snoc(queue(host(sK5)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK9(X1,snoc(queue(host(sK5)),X0))
| sP1(X1,snoc(queue(host(sK5)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_271])]) ).
fof(f1956,plain,
( ! [X0,X1] :
( elem(sK9(X1,snoc(queue(host(sK5)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK9(X1,snoc(queue(host(sK5)),X0))
| sP1(X1,snoc(queue(host(sK5)),X0)) )
| ~ spl10_135
| ~ spl10_212 ),
inference(superposition,[],[f1895,f1138]) ).
fof(f2596,plain,
( spl10_270
| ~ spl10_69
| spl10_268 ),
inference(avatar_split_clause,[],[f2511,f2506,f668,f2593]) ).
fof(f2511,plain,
( leq(s(host(sK5)),index(pendack,host(sK4)))
| ~ spl10_69
| spl10_268 ),
inference(resolution,[],[f2508,f669]) ).
fof(f2589,plain,
( ~ spl10_269
| ~ spl10_86
| spl10_268 ),
inference(avatar_split_clause,[],[f2510,f2506,f763,f2586]) ).
fof(f2510,plain,
( ~ leq(index(pendack,host(sK4)),host(sK5))
| ~ spl10_86
| spl10_268 ),
inference(resolution,[],[f2508,f764]) ).
fof(f2509,plain,
( ~ spl10_268
| spl10_142
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2499,f2439,f1184,f2506]) ).
fof(f1184,plain,
( spl10_142
<=> leq(index(pendack,host(sK6)),s(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_142])]) ).
fof(f2499,plain,
( ~ leq(index(pendack,host(sK4)),s(host(sK5)))
| spl10_142
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1186,f2441]) ).
fof(f1186,plain,
( ~ leq(index(pendack,host(sK6)),s(host(sK5)))
| spl10_142 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f2504,plain,
( ~ spl10_267
| spl10_143
| ~ spl10_263 ),
inference(avatar_split_clause,[],[f2498,f2439,f1188,f2501]) ).
fof(f2498,plain,
( s(host(sK5)) != index(pendack,host(sK4))
| spl10_143
| ~ spl10_263 ),
inference(forward_demodulation,[],[f1189,f2441]) ).
fof(f1189,plain,
( index(pendack,host(sK6)) != s(host(sK5))
| spl10_143 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f2497,plain,
( spl10_266
| ~ spl10_143
| ~ spl10_155
| ~ spl10_160 ),
inference(avatar_split_clause,[],[f2482,f1297,f1269,f1188,f2494]) ).
fof(f2482,plain,
( leq(s(host(sK5)),nbr_proc)
| ~ spl10_143
| ~ spl10_155
| ~ spl10_160 ),
inference(forward_demodulation,[],[f2474,f1190]) ).
fof(f2474,plain,
( leq(index(pendack,host(sK6)),nbr_proc)
| ~ spl10_155
| ~ spl10_160 ),
inference(resolution,[],[f1270,f1298]) ).
fof(f1270,plain,
( leq(index(pendack,host(sK6)),host(sK5))
| ~ spl10_155 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f2492,plain,
( spl10_265
| ~ spl10_135
| ~ spl10_211 ),
inference(avatar_split_clause,[],[f1945,f1889,f1137,f2490]) ).
fof(f2490,plain,
( spl10_265
<=> ! [X0,X1] :
( elem(sK8(X1,snoc(queue(host(sK5)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK8(X1,snoc(queue(host(sK5)),X0))
| sP0(X1,snoc(queue(host(sK5)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_265])]) ).
fof(f1945,plain,
( ! [X0,X1] :
( elem(sK8(X1,snoc(queue(host(sK5)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK8(X1,snoc(queue(host(sK5)),X0))
| sP0(X1,snoc(queue(host(sK5)),X0)) )
| ~ spl10_135
| ~ spl10_211 ),
inference(superposition,[],[f1890,f1138]) ).
fof(f2469,plain,
( ~ spl10_264
| spl10_36
| ~ spl10_143 ),
inference(avatar_split_clause,[],[f2451,f1188,f521,f2466]) ).
fof(f2451,plain,
( ~ leq(s(host(sK5)),host(sK6))
| spl10_36
| ~ spl10_143 ),
inference(superposition,[],[f523,f1190]) ).
fof(f2448,plain,
( ~ spl10_45
| spl10_262 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
fof(f2443,plain,
( $false
| ~ spl10_45
| spl10_262 ),
inference(resolution,[],[f2437,f566]) ).
fof(f2437,plain,
( ~ leq(s(zero),host(sK6))
| spl10_262 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f2435,plain,
( spl10_262
<=> leq(s(zero),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_262])]) ).
fof(f2442,plain,
( ~ spl10_262
| spl10_263
| spl10_7
| spl10_155
| ~ spl10_2
| ~ spl10_42
| ~ spl10_145 ),
inference(avatar_split_clause,[],[f1207,f1204,f553,f340,f1269,f366,f2439,f2435]) ).
fof(f553,plain,
( spl10_42
<=> ! [X5] :
( leq(host(sK5),X5)
| setIn(X5,index(down,host(sK5)))
| host(sK4) = X5
| ~ leq(s(zero),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_42])]) ).
fof(f1204,plain,
( spl10_145
<=> ! [X0] :
( leq(index(pendack,host(sK6)),host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK6),index(down,host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_145])]) ).
fof(f1207,plain,
( ~ setIn(sK5,alive)
| leq(index(pendack,host(sK6)),host(sK5))
| leq(host(sK5),host(sK6))
| host(sK4) = host(sK6)
| ~ leq(s(zero),host(sK6))
| ~ spl10_42
| ~ spl10_145 ),
inference(resolution,[],[f1205,f554]) ).
fof(f554,plain,
( ! [X5] :
( setIn(X5,index(down,host(sK5)))
| leq(host(sK5),X5)
| host(sK4) = X5
| ~ leq(s(zero),X5) )
| ~ spl10_42 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f1205,plain,
( ! [X0] :
( ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(sK6)),host(X0)) )
| ~ spl10_145 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f2414,plain,
( spl10_261
| ~ spl10_86
| ~ spl10_159 ),
inference(avatar_split_clause,[],[f1325,f1293,f763,f2412]) ).
fof(f2412,plain,
( spl10_261
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_261])]) ).
fof(f1325,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl10_86
| ~ spl10_159 ),
inference(resolution,[],[f1294,f764]) ).
fof(f2410,plain,
( spl10_260
| ~ spl10_86
| ~ spl10_146 ),
inference(avatar_split_clause,[],[f1217,f1211,f763,f2408]) ).
fof(f1217,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl10_86
| ~ spl10_146 ),
inference(resolution,[],[f1212,f764]) ).
fof(f2394,plain,
( spl10_259
| ~ spl10_69
| ~ spl10_146 ),
inference(avatar_split_clause,[],[f1215,f1211,f668,f2392]) ).
fof(f2392,plain,
( spl10_259
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_259])]) ).
fof(f1215,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl10_69
| ~ spl10_146 ),
inference(resolution,[],[f1212,f669]) ).
fof(f2390,plain,
( spl10_258
| ~ spl10_101
| ~ spl10_136 ),
inference(avatar_split_clause,[],[f1162,f1141,f857,f2388]) ).
fof(f2388,plain,
( spl10_258
<=> ! [X0] :
( m_Down(sK4) = sK9(X0,queue(host(sK5)))
| elem(sK9(X0,queue(host(sK5))),sK2)
| sP1(X0,queue(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_258])]) ).
fof(f1162,plain,
( ! [X0] :
( m_Down(sK4) = sK9(X0,queue(host(sK5)))
| elem(sK9(X0,queue(host(sK5))),sK2)
| sP1(X0,queue(host(sK5))) )
| ~ spl10_101
| ~ spl10_136 ),
inference(resolution,[],[f1142,f858]) ).
fof(f2386,plain,
( spl10_257
| ~ spl10_100
| ~ spl10_136 ),
inference(avatar_split_clause,[],[f1161,f1141,f853,f2384]) ).
fof(f2384,plain,
( spl10_257
<=> ! [X0] :
( m_Down(sK4) = sK8(X0,queue(host(sK5)))
| elem(sK8(X0,queue(host(sK5))),sK2)
| sP0(X0,queue(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_257])]) ).
fof(f1161,plain,
( ! [X0] :
( m_Down(sK4) = sK8(X0,queue(host(sK5)))
| elem(sK8(X0,queue(host(sK5))),sK2)
| sP0(X0,queue(host(sK5))) )
| ~ spl10_100
| ~ spl10_136 ),
inference(resolution,[],[f1142,f854]) ).
fof(f2376,plain,
( spl10_256
| ~ spl10_164
| spl10_230 ),
inference(avatar_split_clause,[],[f2104,f2078,f1353,f2373]) ).
fof(f2104,plain,
( leq(host(sK5),s(index(pendack,host(sK6))))
| ~ spl10_164
| spl10_230 ),
inference(resolution,[],[f2080,f1354]) ).
fof(f2362,plain,
( spl10_255
| ~ spl10_134
| ~ spl10_189 ),
inference(avatar_split_clause,[],[f1625,f1573,f1130,f2360]) ).
fof(f2360,plain,
( spl10_255
<=> ! [X0] :
( sP1(m_Down(index(pendack,host(sK6))),X0)
| ~ leq(pidMsg(sK9(m_Down(index(pendack,host(sK6))),X0)),s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_255])]) ).
fof(f1625,plain,
( ! [X0] :
( sP1(m_Down(index(pendack,host(sK6))),X0)
| ~ leq(pidMsg(sK9(m_Down(index(pendack,host(sK6))),X0)),s(host(sK5))) )
| ~ spl10_134
| ~ spl10_189 ),
inference(resolution,[],[f1574,f1131]) ).
fof(f2358,plain,
( spl10_254
| ~ spl10_134
| ~ spl10_188 ),
inference(avatar_split_clause,[],[f1621,f1569,f1130,f2356]) ).
fof(f2356,plain,
( spl10_254
<=> ! [X0] :
( sP1(m_Halt(index(pendack,host(sK6))),X0)
| ~ leq(pidMsg(sK9(m_Halt(index(pendack,host(sK6))),X0)),s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_254])]) ).
fof(f1621,plain,
( ! [X0] :
( sP1(m_Halt(index(pendack,host(sK6))),X0)
| ~ leq(pidMsg(sK9(m_Halt(index(pendack,host(sK6))),X0)),s(host(sK5))) )
| ~ spl10_134
| ~ spl10_188 ),
inference(resolution,[],[f1570,f1131]) ).
fof(f2354,plain,
( spl10_253
| ~ spl10_134
| ~ spl10_184 ),
inference(avatar_split_clause,[],[f1606,f1553,f1130,f2352]) ).
fof(f2352,plain,
( spl10_253
<=> ! [X0] :
( s(X0) = index(pendack,host(sK6))
| ~ leq(index(pendack,host(sK6)),X0)
| ~ leq(s(X0),s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_253])]) ).
fof(f1606,plain,
( ! [X0] :
( s(X0) = index(pendack,host(sK6))
| ~ leq(index(pendack,host(sK6)),X0)
| ~ leq(s(X0),s(host(sK5))) )
| ~ spl10_134
| ~ spl10_184 ),
inference(resolution,[],[f1554,f1131]) ).
fof(f2350,plain,
( spl10_251
| spl10_252
| spl10_77
| ~ spl10_136
| ~ spl10_161 ),
inference(avatar_split_clause,[],[f1335,f1301,f1141,f716,f2347,f2343]) ).
fof(f716,plain,
( spl10_77
<=> q_nil = queue(host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_77])]) ).
fof(f1335,plain,
( q_nil = queue(host(sK5))
| m_Down(sK4) = last(queue(host(sK5)))
| elem(last(queue(host(sK5))),sK2)
| ~ spl10_136
| ~ spl10_161 ),
inference(resolution,[],[f1302,f1142]) ).
fof(f2331,plain,
( spl10_250
| ~ spl10_109
| ~ spl10_134 ),
inference(avatar_split_clause,[],[f1135,f1130,f908,f2329]) ).
fof(f2329,plain,
( spl10_250
<=> ! [X0] :
( ~ leq(X0,s(host(sK5)))
| index(pendack,host(sK6)) = X0
| ~ leq(index(pendack,host(sK6)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_250])]) ).
fof(f1135,plain,
( ! [X0] :
( ~ leq(X0,s(host(sK5)))
| index(pendack,host(sK6)) = X0
| ~ leq(index(pendack,host(sK6)),X0) )
| ~ spl10_109
| ~ spl10_134 ),
inference(resolution,[],[f1131,f909]) ).
fof(f2321,plain,
( ~ spl10_249
| ~ spl10_86
| spl10_224 ),
inference(avatar_split_clause,[],[f2047,f2015,f763,f2318]) ).
fof(f2047,plain,
( ~ leq(s(index(pendack,host(sK6))),host(sK5))
| ~ spl10_86
| spl10_224 ),
inference(resolution,[],[f2017,f764]) ).
fof(f2316,plain,
( spl10_248
| ~ spl10_45
| ~ spl10_157 ),
inference(avatar_split_clause,[],[f1314,f1285,f565,f2314]) ).
fof(f2314,plain,
( spl10_248
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_248])]) ).
fof(f1314,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl10_45
| ~ spl10_157 ),
inference(resolution,[],[f1286,f566]) ).
fof(f2254,plain,
( spl10_247
| ~ spl10_151 ),
inference(avatar_split_clause,[],[f1253,f1249,f2252]) ).
fof(f1253,plain,
( ! [X0] :
( ~ setIn(X0,alive)
| leq(index(pendack,host(sK6)),host(X0))
| ~ elem(m_Down(sK6),queue(host(X0))) )
| ~ spl10_151 ),
inference(equality_resolution,[],[f1250]) ).
fof(f2250,plain,
( spl10_246
| ~ spl10_123
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1158,f1137,f1021,f2248]) ).
fof(f2248,plain,
( spl10_246
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK5)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_246])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK5)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl10_123
| ~ spl10_135 ),
inference(superposition,[],[f1022,f1138]) ).
fof(f2246,plain,
( spl10_245
| ~ spl10_121
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1157,f1137,f1013,f2244]) ).
fof(f1157,plain,
( ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK5)),X0),X1)
| ~ spl10_121
| ~ spl10_135 ),
inference(superposition,[],[f1014,f1138]) ).
fof(f2242,plain,
( spl10_244
| ~ spl10_107
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1156,f1137,f900,f2240]) ).
fof(f2240,plain,
( spl10_244
<=> ! [X0] :
( ordered(snoc(queue(host(sK5)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_244])]) ).
fof(f1156,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK5)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl10_107
| ~ spl10_135 ),
inference(superposition,[],[f901,f1138]) ).
fof(f2229,plain,
( spl10_243
| ~ spl10_134
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1494,f1446,f1130,f2227]) ).
fof(f2227,plain,
( spl10_243
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(index(pendack,host(sK6))))
| ~ leq(X1,s(host(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_243])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(index(pendack,host(sK6))))
| ~ leq(X1,s(host(sK5))) )
| ~ spl10_134
| ~ spl10_175 ),
inference(resolution,[],[f1447,f1131]) ).
fof(f2223,plain,
( spl10_242
| ~ spl10_3
| ~ spl10_10
| ~ spl10_150 ),
inference(avatar_split_clause,[],[f1246,f1240,f381,f345,f2221]) ).
fof(f2221,plain,
( spl10_242
<=> ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Ack(sK6,X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_242])]) ).
fof(f1246,plain,
( ! [X0] :
( ~ setIn(sK6,alive)
| host(X0) != host(sK6)
| ~ elem(m_Ack(sK6,X0),queue(host(sK6))) )
| ~ spl10_10
| ~ spl10_150 ),
inference(trivial_inequality_removal,[],[f1244]) ).
fof(f1244,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ setIn(sK6,alive)
| host(X0) != host(sK6)
| ~ elem(m_Ack(sK6,X0),queue(host(sK6))) )
| ~ spl10_10
| ~ spl10_150 ),
inference(superposition,[],[f1241,f383]) ).
fof(f2198,plain,
( spl10_241
| ~ spl10_134
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1438,f1425,f1130,f2196]) ).
fof(f1438,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,index(pendack,host(sK6)))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_134
| ~ spl10_173 ),
inference(resolution,[],[f1426,f1131]) ).
fof(f2194,plain,
( spl10_240
| ~ spl10_147 ),
inference(avatar_split_clause,[],[f1224,f1220,f2192]) ).
fof(f1224,plain,
( ! [X0] :
( leq(host(sK6),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0))) )
| ~ spl10_147 ),
inference(equality_resolution,[],[f1221]) ).
fof(f2190,plain,
( spl10_239
| ~ spl10_110
| ~ spl10_134 ),
inference(avatar_split_clause,[],[f1134,f1130,f912,f2188]) ).
fof(f1134,plain,
( ! [X0,X1] :
( ~ leq(X0,s(host(sK5)))
| leq(X1,index(pendack,host(sK6)))
| ~ leq(X1,X0) )
| ~ spl10_110
| ~ spl10_134 ),
inference(resolution,[],[f1131,f913]) ).
fof(f2184,plain,
( spl10_238
| ~ spl10_27
| ~ spl10_226 ),
inference(avatar_split_clause,[],[f2082,f2061,f465,f2182]) ).
fof(f2182,plain,
( spl10_238
<=> ! [X0] : ~ elem(m_Ack(X0,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_238])]) ).
fof(f2082,plain,
( ! [X0] : ~ elem(m_Ack(X0,X0),sK2)
| ~ spl10_27
| ~ spl10_226 ),
inference(resolution,[],[f2062,f466]) ).
fof(f2176,plain,
( ~ spl10_237
| ~ spl10_86
| spl10_165 ),
inference(avatar_split_clause,[],[f1367,f1357,f763,f2173]) ).
fof(f2173,plain,
( spl10_237
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_237])]) ).
fof(f1357,plain,
( spl10_165
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_165])]) ).
fof(f1367,plain,
( ~ leq(nbr_proc,zero)
| ~ spl10_86
| spl10_165 ),
inference(resolution,[],[f1359,f764]) ).
fof(f1359,plain,
( ~ leq(nbr_proc,s(zero))
| spl10_165 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f2171,plain,
( spl10_236
| ~ spl10_38
| ~ spl10_157 ),
inference(avatar_split_clause,[],[f1316,f1285,f535,f2168]) ).
fof(f2168,plain,
( spl10_236
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_236])]) ).
fof(f1316,plain,
( leq(zero,nbr_proc)
| ~ spl10_38
| ~ spl10_157 ),
inference(resolution,[],[f1286,f537]) ).
fof(f2140,plain,
( spl10_235
| ~ spl10_14
| ~ spl10_175 ),
inference(avatar_split_clause,[],[f1488,f1446,f402,f2138]) ).
fof(f1488,plain,
( ! [X0] :
( ~ leq(X0,s(host(sK5)))
| leq(X0,s(index(pendack,host(sK6)))) )
| ~ spl10_14
| ~ spl10_175 ),
inference(resolution,[],[f1447,f404]) ).
fof(f2136,plain,
( spl10_234
| ~ spl10_134
| ~ spl10_157 ),
inference(avatar_split_clause,[],[f1323,f1285,f1130,f2134]) ).
fof(f1323,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(s(X0),s(host(sK5))) )
| ~ spl10_134
| ~ spl10_157 ),
inference(resolution,[],[f1286,f1131]) ).
fof(f2132,plain,
( spl10_233
| ~ spl10_106
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1155,f1137,f878,f2130]) ).
fof(f2130,plain,
( spl10_233
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK5)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_233])]) ).
fof(f1155,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK5)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl10_106
| ~ spl10_135 ),
inference(superposition,[],[f879,f1138]) ).
fof(f2128,plain,
( spl10_232
| ~ spl10_83
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1154,f1137,f751,f2126]) ).
fof(f1154,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK5)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) )
| ~ spl10_83
| ~ spl10_135 ),
inference(superposition,[],[f752,f1138]) ).
fof(f2114,plain,
( spl10_231
| ~ spl10_14
| ~ spl10_173 ),
inference(avatar_split_clause,[],[f1432,f1425,f402,f2112]) ).
fof(f1432,plain,
( ! [X0] :
( leq(s(host(sK5)),X0)
| leq(X0,index(pendack,host(sK6))) )
| ~ spl10_14
| ~ spl10_173 ),
inference(resolution,[],[f1426,f404]) ).
fof(f2081,plain,
( ~ spl10_230
| ~ spl10_134
| ~ spl10_146 ),
inference(avatar_split_clause,[],[f1218,f1211,f1130,f2078]) ).
fof(f1218,plain,
( ~ leq(s(s(index(pendack,host(sK6)))),s(host(sK5)))
| ~ spl10_134
| ~ spl10_146 ),
inference(resolution,[],[f1212,f1131]) ).
fof(f2076,plain,
( spl10_229
| ~ spl10_70
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1153,f1137,f672,f2074]) ).
fof(f2074,plain,
( spl10_229
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK5)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_229])]) ).
fof(f1153,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK5)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl10_70
| ~ spl10_135 ),
inference(superposition,[],[f673,f1138]) ).
fof(f2072,plain,
( spl10_228
| ~ spl10_66
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1152,f1137,f656,f2070]) ).
fof(f2070,plain,
( spl10_228
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK5)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_228])]) ).
fof(f1152,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK5)),X0))
| ~ spl10_66
| ~ spl10_135 ),
inference(superposition,[],[f657,f1138]) ).
fof(f2068,plain,
( ~ spl10_227
| ~ spl10_27
| ~ spl10_216 ),
inference(avatar_split_clause,[],[f2038,f1974,f465,f2065]) ).
fof(f2065,plain,
( spl10_227
<=> elem(m_Halt(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_227])]) ).
fof(f2038,plain,
( ~ elem(m_Halt(sK5),sK2)
| ~ spl10_27
| ~ spl10_216 ),
inference(resolution,[],[f1975,f466]) ).
fof(f2063,plain,
( spl10_226
| ~ spl10_17
| ~ spl10_131 ),
inference(avatar_split_clause,[],[f1114,f1110,f417,f2061]) ).
fof(f417,plain,
( spl10_17
<=> ! [X27,X28,X26] :
( ~ leq(host(X26),host(X28))
| ~ elem(m_Ack(X28,X26),queue(host(X27))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f1114,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) )
| ~ spl10_17
| ~ spl10_131 ),
inference(resolution,[],[f1111,f418]) ).
fof(f418,plain,
( ! [X28,X26,X27] :
( ~ elem(m_Ack(X28,X26),queue(host(X27)))
| ~ leq(host(X26),host(X28)) )
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f2037,plain,
( spl10_225
| ~ spl10_65
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1151,f1137,f652,f2035]) ).
fof(f2035,plain,
( spl10_225
<=> ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK5)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_225])]) ).
fof(f1151,plain,
( ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK5)),X0))
| ~ spl10_65
| ~ spl10_135 ),
inference(superposition,[],[f653,f1138]) ).
fof(f2018,plain,
( ~ spl10_224
| ~ spl10_39
| ~ spl10_134 ),
inference(avatar_split_clause,[],[f1133,f1130,f540,f2015]) ).
fof(f1133,plain,
( ~ leq(s(index(pendack,host(sK6))),s(host(sK5)))
| ~ spl10_39
| ~ spl10_134 ),
inference(resolution,[],[f1131,f541]) ).
fof(f2004,plain,
( spl10_223
| ~ spl10_44
| ~ spl10_130 ),
inference(avatar_split_clause,[],[f1104,f1092,f561,f2002]) ).
fof(f2002,plain,
( spl10_223
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_223])]) ).
fof(f1092,plain,
( spl10_130
<=> ! [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,[spl10_130])]) ).
fof(f1104,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) )
| ~ spl10_44
| ~ spl10_130 ),
inference(superposition,[],[f1093,f562]) ).
fof(f1093,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) )
| ~ spl10_130 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f2000,plain,
( spl10_222
| ~ spl10_43
| ~ spl10_130 ),
inference(avatar_split_clause,[],[f1103,f1092,f557,f1998]) ).
fof(f1998,plain,
( spl10_222
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_222])]) ).
fof(f1103,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) )
| ~ spl10_43
| ~ spl10_130 ),
inference(superposition,[],[f1093,f558]) ).
fof(f1996,plain,
( spl10_221
| ~ spl10_44
| ~ spl10_130 ),
inference(avatar_split_clause,[],[f1102,f1092,f561,f1994]) ).
fof(f1102,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) )
| ~ spl10_44
| ~ spl10_130 ),
inference(superposition,[],[f1093,f562]) ).
fof(f1992,plain,
( spl10_220
| ~ spl10_43
| ~ spl10_130 ),
inference(avatar_split_clause,[],[f1101,f1092,f557,f1990]) ).
fof(f1101,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) )
| ~ spl10_43
| ~ spl10_130 ),
inference(superposition,[],[f1093,f558]) ).
fof(f1988,plain,
( spl10_219
| ~ spl10_44
| ~ spl10_129 ),
inference(avatar_split_clause,[],[f1098,f1088,f561,f1986]) ).
fof(f1986,plain,
( spl10_219
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_219])]) ).
fof(f1088,plain,
( spl10_129
<=> ! [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,[spl10_129])]) ).
fof(f1098,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) )
| ~ spl10_44
| ~ spl10_129 ),
inference(superposition,[],[f1089,f562]) ).
fof(f1089,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) )
| ~ spl10_129 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1984,plain,
( spl10_218
| ~ spl10_43
| ~ spl10_129 ),
inference(avatar_split_clause,[],[f1097,f1088,f557,f1982]) ).
fof(f1982,plain,
( spl10_218
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_218])]) ).
fof(f1097,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) )
| ~ spl10_43
| ~ spl10_129 ),
inference(superposition,[],[f1089,f558]) ).
fof(f1980,plain,
( spl10_217
| ~ spl10_44
| ~ spl10_129 ),
inference(avatar_split_clause,[],[f1096,f1088,f561,f1978]) ).
fof(f1096,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) )
| ~ spl10_44
| ~ spl10_129 ),
inference(superposition,[],[f1089,f562]) ).
fof(f1976,plain,
( spl10_216
| ~ spl10_16
| ~ spl10_131 ),
inference(avatar_split_clause,[],[f1113,f1110,f412,f1974]) ).
fof(f412,plain,
( spl10_16
<=> ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Halt(X31),queue(host(X30))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f1113,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK5),host(X0)) )
| ~ spl10_16
| ~ spl10_131 ),
inference(resolution,[],[f1111,f413]) ).
fof(f413,plain,
( ! [X31,X30] :
( ~ elem(m_Halt(X31),queue(host(X30)))
| ~ leq(host(X30),host(X31)) )
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f1972,plain,
( spl10_215
| ~ spl10_43
| ~ spl10_129 ),
inference(avatar_split_clause,[],[f1095,f1088,f557,f1970]) ).
fof(f1095,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) )
| ~ spl10_43
| ~ spl10_129 ),
inference(superposition,[],[f1089,f558]) ).
fof(f1966,plain,
( spl10_214
| ~ spl10_84
| ~ spl10_124 ),
inference(avatar_split_clause,[],[f1075,f1056,f755,f1964]) ).
fof(f755,plain,
( spl10_84
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_84])]) ).
fof(f1056,plain,
( spl10_124
<=> ! [X0] :
( m_Down(sK7(X0)) = X0
| m_Halt(sK7(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_124])]) ).
fof(f1075,plain,
( ! [X0,X1] :
( sK9(X0,X1) = m_Halt(sK7(sK9(X0,X1)))
| sK9(X0,X1) = m_Down(sK7(sK9(X0,X1)))
| sP1(X0,X1) )
| ~ spl10_84
| ~ spl10_124 ),
inference(resolution,[],[f1057,f756]) ).
fof(f756,plain,
( ! [X0,X1] :
( pidElem(sK9(X0,X1))
| sP1(X0,X1) )
| ~ spl10_84 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f1057,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK7(X0)) = X0
| m_Down(sK7(X0)) = X0 )
| ~ spl10_124 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1962,plain,
( spl10_213
| ~ spl10_82
| ~ spl10_124 ),
inference(avatar_split_clause,[],[f1074,f1056,f747,f1960]) ).
fof(f747,plain,
( spl10_82
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_82])]) ).
fof(f1074,plain,
( ! [X0,X1] :
( sK8(X0,X1) = m_Halt(sK7(sK8(X0,X1)))
| sK8(X0,X1) = m_Down(sK7(sK8(X0,X1)))
| sP0(X0,X1) )
| ~ spl10_82
| ~ spl10_124 ),
inference(resolution,[],[f1057,f748]) ).
fof(f748,plain,
( ! [X0,X1] :
( pidElem(sK8(X0,X1))
| sP0(X0,X1) )
| ~ spl10_82 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f1896,plain,
( spl10_212
| ~ spl10_101
| ~ spl10_123 ),
inference(avatar_split_clause,[],[f1052,f1021,f857,f1894]) ).
fof(f1052,plain,
( ! [X2,X0,X1] :
( sK9(X0,cons(X1,X2)) = X1
| elem(sK9(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl10_101
| ~ spl10_123 ),
inference(resolution,[],[f1022,f858]) ).
fof(f1891,plain,
( spl10_211
| ~ spl10_100
| ~ spl10_123 ),
inference(avatar_split_clause,[],[f1051,f1021,f853,f1889]) ).
fof(f1051,plain,
( ! [X2,X0,X1] :
( sK8(X0,cons(X1,X2)) = X1
| elem(sK8(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl10_100
| ~ spl10_123 ),
inference(resolution,[],[f1022,f854]) ).
fof(f1887,plain,
( spl10_210
| ~ spl10_101
| ~ spl10_122 ),
inference(avatar_split_clause,[],[f1045,f1017,f857,f1885]) ).
fof(f1045,plain,
( ! [X2,X0,X1] :
( sK9(X0,snoc(X1,X2)) = X2
| elem(sK9(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl10_101
| ~ spl10_122 ),
inference(resolution,[],[f1018,f858]) ).
fof(f1883,plain,
( spl10_209
| ~ spl10_100
| ~ spl10_122 ),
inference(avatar_split_clause,[],[f1044,f1017,f853,f1881]) ).
fof(f1044,plain,
( ! [X2,X0,X1] :
( sK8(X0,snoc(X1,X2)) = X2
| elem(sK8(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl10_100
| ~ spl10_122 ),
inference(resolution,[],[f1018,f854]) ).
fof(f1852,plain,
( spl10_208
| ~ spl10_121
| ~ spl10_122 ),
inference(avatar_split_clause,[],[f1048,f1017,f1013,f1850]) ).
fof(f1048,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl10_121
| ~ spl10_122 ),
inference(superposition,[],[f1018,f1014]) ).
fof(f1848,plain,
( spl10_207
| ~ spl10_108
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1039,f1013,f904,f1846]) ).
fof(f904,plain,
( spl10_108
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_108])]) ).
fof(f1039,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl10_108
| ~ spl10_121 ),
inference(superposition,[],[f905,f1014]) ).
fof(f905,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl10_108 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f1775,plain,
( spl10_206
| ~ spl10_28
| ~ spl10_124 ),
inference(avatar_split_clause,[],[f1073,f1056,f469,f1773]) ).
fof(f1073,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK7(m_Down(X0)))
| m_Down(X0) = m_Down(sK7(m_Down(X0))) )
| ~ spl10_28
| ~ spl10_124 ),
inference(resolution,[],[f1057,f470]) ).
fof(f1771,plain,
( spl10_205
| ~ spl10_29
| ~ spl10_124 ),
inference(avatar_split_clause,[],[f1072,f1056,f473,f1769]) ).
fof(f473,plain,
( spl10_29
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
fof(f1072,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK7(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK7(m_Halt(X0))) )
| ~ spl10_29
| ~ spl10_124 ),
inference(resolution,[],[f1057,f474]) ).
fof(f474,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f1767,plain,
( spl10_204
| ~ spl10_112
| ~ spl10_123 ),
inference(avatar_split_clause,[],[f1054,f1021,f944,f1765]) ).
fof(f1765,plain,
( spl10_204
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_204])]) ).
fof(f1054,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl10_112
| ~ spl10_123 ),
inference(superposition,[],[f1022,f945]) ).
fof(f1763,plain,
( spl10_203
| ~ spl10_111
| ~ spl10_122 ),
inference(avatar_split_clause,[],[f1047,f1017,f940,f1761]) ).
fof(f1761,plain,
( spl10_203
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_203])]) ).
fof(f1047,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl10_111
| ~ spl10_122 ),
inference(superposition,[],[f1018,f941]) ).
fof(f1759,plain,
( spl10_202
| ~ spl10_112
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1031,f1013,f944,f1757]) ).
fof(f1031,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl10_112
| ~ spl10_121 ),
inference(superposition,[],[f1014,f945]) ).
fof(f1716,plain,
( spl10_201
| ~ spl10_62
| ~ spl10_135 ),
inference(avatar_split_clause,[],[f1150,f1137,f634,f1714]) ).
fof(f1150,plain,
( ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK5)),X0))
| ~ spl10_62
| ~ spl10_135 ),
inference(superposition,[],[f635,f1138]) ).
fof(f1712,plain,
( spl10_200
| ~ spl10_107
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f986,f944,f900,f1710]) ).
fof(f986,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl10_107
| ~ spl10_112 ),
inference(superposition,[],[f901,f945]) ).
fof(f1708,plain,
( spl10_199
| ~ spl10_108
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f978,f940,f904,f1706]) ).
fof(f978,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl10_108
| ~ spl10_111 ),
inference(superposition,[],[f905,f941]) ).
fof(f1704,plain,
( spl10_198
| ~ spl10_98
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f922,f908,f845,f1702]) ).
fof(f922,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl10_98
| ~ spl10_109 ),
inference(resolution,[],[f909,f846]) ).
fof(f1670,plain,
( spl10_197
| ~ spl10_102
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1041,f1013,f861,f1668]) ).
fof(f861,plain,
( spl10_102
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_102])]) ).
fof(f1041,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl10_102
| ~ spl10_121 ),
inference(superposition,[],[f862,f1014]) ).
fof(f862,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl10_102 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f1666,plain,
( spl10_196
| ~ spl10_105
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1038,f1013,f874,f1664]) ).
fof(f874,plain,
( spl10_105
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_105])]) ).
fof(f1038,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl10_105
| ~ spl10_121 ),
inference(superposition,[],[f875,f1014]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl10_105 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f1662,plain,
( spl10_195
| ~ spl10_98
| ~ spl10_120 ),
inference(avatar_split_clause,[],[f1025,f1007,f845,f1660]) ).
fof(f1025,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl10_98
| ~ spl10_120 ),
inference(resolution,[],[f1008,f846]) ).
fof(f1595,plain,
( spl10_194
| ~ spl10_81
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1040,f1013,f743,f1593]) ).
fof(f1040,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl10_81
| ~ spl10_121 ),
inference(superposition,[],[f744,f1014]) ).
fof(f1591,plain,
( spl10_193
| ~ spl10_85
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1037,f1013,f759,f1589]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl10_85
| ~ spl10_121 ),
inference(superposition,[],[f760,f1014]) ).
fof(f1587,plain,
( spl10_191
| spl10_192
| ~ spl10_113
| ~ spl10_131 ),
inference(avatar_split_clause,[],[f1116,f1110,f948,f1585,f1581]) ).
fof(f1581,plain,
( spl10_191
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_191])]) ).
fof(f1585,plain,
( spl10_192
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_192])]) ).
fof(f1116,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),sK2)
| setIn(sK5,pids) )
| ~ spl10_113
| ~ spl10_131 ),
inference(resolution,[],[f1111,f949]) ).
fof(f1579,plain,
( spl10_190
| ~ spl10_69
| ~ spl10_120 ),
inference(avatar_split_clause,[],[f1028,f1007,f668,f1577]) ).
fof(f1028,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl10_69
| ~ spl10_120 ),
inference(resolution,[],[f1008,f669]) ).
fof(f1575,plain,
( spl10_189
| ~ spl10_44
| ~ spl10_116 ),
inference(avatar_split_clause,[],[f999,f960,f561,f1573]) ).
fof(f960,plain,
( spl10_116
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK9(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_116])]) ).
fof(f999,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl10_44
| ~ spl10_116 ),
inference(superposition,[],[f961,f562]) ).
fof(f961,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK9(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl10_116 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f1571,plain,
( spl10_188
| ~ spl10_43
| ~ spl10_116 ),
inference(avatar_split_clause,[],[f998,f960,f557,f1569]) ).
fof(f998,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK9(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl10_43
| ~ spl10_116 ),
inference(superposition,[],[f961,f558]) ).
fof(f1567,plain,
( spl10_187
| ~ spl10_44
| ~ spl10_115 ),
inference(avatar_split_clause,[],[f995,f956,f561,f1565]) ).
fof(f956,plain,
( spl10_115
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK8(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_115])]) ).
fof(f995,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK8(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl10_44
| ~ spl10_115 ),
inference(superposition,[],[f957,f562]) ).
fof(f957,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK8(X0,X1)))
| sP0(X0,X1) )
| ~ spl10_115 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f1563,plain,
( spl10_186
| ~ spl10_43
| ~ spl10_115 ),
inference(avatar_split_clause,[],[f994,f956,f557,f1561]) ).
fof(f994,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK8(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl10_43
| ~ spl10_115 ),
inference(superposition,[],[f957,f558]) ).
fof(f1559,plain,
( spl10_185
| ~ spl10_98
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f931,f912,f845,f1557]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl10_98
| ~ spl10_110 ),
inference(resolution,[],[f913,f846]) ).
fof(f1555,plain,
( spl10_184
| ~ spl10_86
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f928,f908,f763,f1553]) ).
fof(f928,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl10_86
| ~ spl10_109 ),
inference(resolution,[],[f909,f764]) ).
fof(f1528,plain,
( spl10_183
| ~ spl10_114
| ~ spl10_131 ),
inference(avatar_split_clause,[],[f1115,f1110,f952,f1526]) ).
fof(f1526,plain,
( spl10_183
<=> ! [X0] :
( ~ elem(m_Ack(sK5,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_183])]) ).
fof(f952,plain,
( spl10_114
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_114])]) ).
fof(f1115,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),sK2)
| setIn(X0,pids) )
| ~ spl10_114
| ~ spl10_131 ),
inference(resolution,[],[f1111,f953]) ).
fof(f953,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl10_114 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f1479,plain,
( spl10_182
| ~ spl10_71
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1036,f1013,f676,f1477]) ).
fof(f676,plain,
( spl10_71
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_71])]) ).
fof(f1036,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl10_71
| ~ spl10_121 ),
inference(superposition,[],[f677,f1014]) ).
fof(f677,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl10_71 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1475,plain,
( spl10_181
| ~ spl10_68
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1035,f1013,f664,f1473]) ).
fof(f664,plain,
( spl10_68
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_68])]) ).
fof(f1035,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl10_68
| ~ spl10_121 ),
inference(superposition,[],[f665,f1014]) ).
fof(f665,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl10_68 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f1471,plain,
( spl10_180
| ~ spl10_69
| ~ spl10_116 ),
inference(avatar_split_clause,[],[f996,f960,f668,f1469]) ).
fof(f996,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK9(X0,X1))) )
| ~ spl10_69
| ~ spl10_116 ),
inference(resolution,[],[f961,f669]) ).
fof(f1467,plain,
( spl10_179
| ~ spl10_106
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f985,f944,f878,f1465]) ).
fof(f985,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl10_106
| ~ spl10_112 ),
inference(superposition,[],[f879,f945]) ).
fof(f1460,plain,
( spl10_178
| ~ spl10_83
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f984,f944,f751,f1458]) ).
fof(f1458,plain,
( spl10_178
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_178])]) ).
fof(f984,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl10_83
| ~ spl10_112 ),
inference(superposition,[],[f752,f945]) ).
fof(f1456,plain,
( spl10_177
| ~ spl10_105
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f977,f940,f874,f1454]) ).
fof(f977,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl10_105
| ~ spl10_111 ),
inference(superposition,[],[f875,f941]) ).
fof(f1452,plain,
( spl10_176
| ~ spl10_85
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f976,f940,f759,f1450]) ).
fof(f1450,plain,
( spl10_176
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_176])]) ).
fof(f976,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl10_85
| ~ spl10_111 ),
inference(superposition,[],[f760,f941]) ).
fof(f1448,plain,
( spl10_175
| ~ spl10_86
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f937,f912,f763,f1446]) ).
fof(f937,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl10_86
| ~ spl10_110 ),
inference(resolution,[],[f913,f764]) ).
fof(f1444,plain,
( spl10_174
| ~ spl10_45
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f921,f908,f565,f1442]) ).
fof(f1442,plain,
( spl10_174
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_174])]) ).
fof(f921,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl10_45
| ~ spl10_109 ),
inference(resolution,[],[f909,f566]) ).
fof(f1427,plain,
( spl10_173
| ~ spl10_69
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f935,f912,f668,f1425]) ).
fof(f935,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl10_69
| ~ spl10_110 ),
inference(resolution,[],[f913,f669]) ).
fof(f1412,plain,
( spl10_172
| ~ spl10_14
| ~ spl10_157 ),
inference(avatar_split_clause,[],[f1317,f1285,f402,f1409]) ).
fof(f1317,plain,
( leq(host(sK5),index(pendack,host(sK6)))
| ~ spl10_14
| ~ spl10_157 ),
inference(resolution,[],[f1286,f404]) ).
fof(f1389,plain,
( spl10_171
| ~ spl10_67
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1034,f1013,f660,f1387]) ).
fof(f660,plain,
( spl10_67
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_67])]) ).
fof(f1034,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl10_67
| ~ spl10_121 ),
inference(superposition,[],[f661,f1014]) ).
fof(f661,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl10_67 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f1385,plain,
( spl10_170
| ~ spl10_70
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f983,f944,f672,f1383]) ).
fof(f1383,plain,
( spl10_170
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_170])]) ).
fof(f983,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl10_70
| ~ spl10_112 ),
inference(superposition,[],[f673,f945]) ).
fof(f1381,plain,
( spl10_169
| ~ spl10_71
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f975,f940,f676,f1379]) ).
fof(f1379,plain,
( spl10_169
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_169])]) ).
fof(f975,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl10_71
| ~ spl10_111 ),
inference(superposition,[],[f677,f941]) ).
fof(f1377,plain,
( spl10_168
| ~ spl10_45
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f930,f912,f565,f1375]) ).
fof(f930,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl10_45
| ~ spl10_110 ),
inference(resolution,[],[f913,f566]) ).
fof(f1373,plain,
( spl10_167
| ~ spl10_40
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f929,f908,f544,f1371]) ).
fof(f1371,plain,
( spl10_167
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_167])]) ).
fof(f929,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl10_40
| ~ spl10_109 ),
inference(resolution,[],[f909,f545]) ).
fof(f1364,plain,
( ~ spl10_165
| spl10_166
| ~ spl10_38
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f923,f908,f535,f1361,f1357]) ).
fof(f1361,plain,
( spl10_166
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl10_166])]) ).
fof(f923,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl10_38
| ~ spl10_109 ),
inference(resolution,[],[f909,f537]) ).
fof(f1355,plain,
( spl10_164
| ~ spl10_69
| ~ spl10_99 ),
inference(avatar_split_clause,[],[f890,f849,f668,f1353]) ).
fof(f890,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl10_69
| ~ spl10_99 ),
inference(resolution,[],[f850,f669]) ).
fof(f1313,plain,
( spl10_163
| ~ spl10_61
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1033,f1013,f630,f1311]) ).
fof(f630,plain,
( spl10_61
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_61])]) ).
fof(f1033,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl10_61
| ~ spl10_121 ),
inference(superposition,[],[f631,f1014]) ).
fof(f631,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl10_61 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f1307,plain,
( spl10_162
| ~ spl10_62
| ~ spl10_112 ),
inference(avatar_split_clause,[],[f982,f944,f634,f1305]) ).
fof(f982,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl10_62
| ~ spl10_112 ),
inference(superposition,[],[f635,f945]) ).
fof(f1303,plain,
( spl10_161
| ~ spl10_61
| ~ spl10_111 ),
inference(avatar_split_clause,[],[f974,f940,f630,f1301]) ).
fof(f974,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl10_61
| ~ spl10_111 ),
inference(superposition,[],[f631,f941]) ).
fof(f1299,plain,
( spl10_160
| ~ spl10_40
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f938,f912,f544,f1297]) ).
fof(f938,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl10_40
| ~ spl10_110 ),
inference(resolution,[],[f913,f545]) ).
fof(f1295,plain,
( spl10_159
| ~ spl10_38
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f932,f912,f535,f1293]) ).
fof(f932,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl10_38
| ~ spl10_110 ),
inference(resolution,[],[f913,f537]) ).
fof(f1291,plain,
( spl10_158
| ~ spl10_85
| ~ spl10_102 ),
inference(avatar_split_clause,[],[f894,f861,f759,f1289]) ).
fof(f1289,plain,
( spl10_158
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_158])]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl10_85
| ~ spl10_102 ),
inference(resolution,[],[f862,f760]) ).
fof(f1287,plain,
( spl10_157
| ~ spl10_86
| ~ spl10_99 ),
inference(avatar_split_clause,[],[f888,f849,f763,f1285]) ).
fof(f888,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl10_86
| ~ spl10_99 ),
inference(resolution,[],[f850,f764]) ).
fof(f1278,plain,
( ~ spl10_3
| spl10_156
| ~ spl10_10
| ~ spl10_91 ),
inference(avatar_split_clause,[],[f817,f811,f381,f1276,f345]) ).
fof(f811,plain,
( spl10_91
<=> ! [X6,X7] :
( ~ leq(index(pendack,host(X6)),index(pendack,host(X7)))
| elec_2 != index(status,host(X7))
| elec_2 != index(status,host(X6))
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| leq(host(X6),host(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_91])]) ).
fof(f817,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK6)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl10_10
| ~ spl10_91 ),
inference(trivial_inequality_removal,[],[f815]) ).
fof(f815,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK6)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl10_10
| ~ spl10_91 ),
inference(superposition,[],[f812,f383]) ).
fof(f812,plain,
( ! [X6,X7] :
( elec_2 != index(status,host(X7))
| ~ leq(index(pendack,host(X6)),index(pendack,host(X7)))
| elec_2 != index(status,host(X6))
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| leq(host(X6),host(X7)) )
| ~ spl10_91 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f1272,plain,
( ~ spl10_155
| ~ spl10_86
| spl10_142 ),
inference(avatar_split_clause,[],[f1192,f1184,f763,f1269]) ).
fof(f1192,plain,
( ~ leq(index(pendack,host(sK6)),host(sK5))
| ~ spl10_86
| spl10_142 ),
inference(resolution,[],[f1186,f764]) ).
fof(f1265,plain,
( spl10_154
| ~ spl10_81
| ~ spl10_85 ),
inference(avatar_split_clause,[],[f780,f759,f743,f1263]) ).
fof(f1263,plain,
( spl10_154
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_154])]) ).
fof(f780,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl10_81
| ~ spl10_85 ),
inference(resolution,[],[f760,f744]) ).
fof(f1261,plain,
( spl10_153
| ~ spl10_67
| ~ spl10_80 ),
inference(avatar_split_clause,[],[f768,f739,f660,f1259]) ).
fof(f1259,plain,
( spl10_153
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_153])]) ).
fof(f768,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl10_67
| ~ spl10_80 ),
inference(superposition,[],[f661,f740]) ).
fof(f1257,plain,
( spl10_152
| ~ spl10_68
| ~ spl10_80 ),
inference(avatar_split_clause,[],[f767,f739,f664,f1255]) ).
fof(f1255,plain,
( spl10_152
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_152])]) ).
fof(f767,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl10_68
| ~ spl10_80 ),
inference(superposition,[],[f665,f740]) ).
fof(f1251,plain,
( ~ spl10_3
| spl10_151
| ~ spl10_10
| ~ spl10_90 ),
inference(avatar_split_clause,[],[f808,f792,f381,f1249,f345]) ).
fof(f792,plain,
( spl10_90
<=> ! [X9,X8,X10] :
( leq(index(pendack,host(X10)),host(X8))
| elec_2 != index(status,host(X10))
| host(X9) != host(X10)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X10,alive)
| ~ setIn(X8,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_90])]) ).
fof(f808,plain,
( ! [X0,X1] :
( leq(index(pendack,host(sK6)),host(X0))
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive) )
| ~ spl10_10
| ~ spl10_90 ),
inference(trivial_inequality_removal,[],[f806]) ).
fof(f806,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| leq(index(pendack,host(sK6)),host(X0))
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive) )
| ~ spl10_10
| ~ spl10_90 ),
inference(superposition,[],[f793,f383]) ).
fof(f793,plain,
( ! [X10,X8,X9] :
( elec_2 != index(status,host(X10))
| leq(index(pendack,host(X10)),host(X8))
| host(X9) != host(X10)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X10,alive)
| ~ setIn(X8,alive) )
| ~ spl10_90 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1242,plain,
( ~ spl10_3
| spl10_150
| ~ spl10_10
| ~ spl10_89 ),
inference(avatar_split_clause,[],[f803,f788,f381,f1240,f345]) ).
fof(f788,plain,
( spl10_89
<=> ! [X13,X12,X11] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X11))
| host(X13) != host(X12)
| ~ setIn(X13,alive)
| ~ setIn(X11,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_89])]) ).
fof(f803,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK6)
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive) )
| ~ spl10_10
| ~ spl10_89 ),
inference(trivial_inequality_removal,[],[f801]) ).
fof(f801,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK6)
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive) )
| ~ spl10_10
| ~ spl10_89 ),
inference(superposition,[],[f789,f383]) ).
fof(f789,plain,
( ! [X11,X12,X13] :
( elec_2 != index(status,host(X13))
| ~ elem(m_Ack(X11,X12),queue(host(X11)))
| elec_2 != index(status,host(X11))
| host(X13) != host(X12)
| ~ setIn(X13,alive)
| ~ setIn(X11,alive) )
| ~ spl10_89 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f1233,plain,
( ~ spl10_3
| spl10_149
| ~ spl10_10
| ~ spl10_88 ),
inference(avatar_split_clause,[],[f798,f784,f381,f1231,f345]) ).
fof(f784,plain,
( spl10_88
<=> ! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_88])]) ).
fof(f798,plain,
( ! [X0] :
( leq(index(pendack,host(sK6)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl10_10
| ~ spl10_88 ),
inference(trivial_inequality_removal,[],[f796]) ).
fof(f796,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK6)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl10_10
| ~ spl10_88 ),
inference(superposition,[],[f785,f383]) ).
fof(f785,plain,
( ! [X14,X15] :
( elec_2 != index(status,host(X15))
| leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
| ~ spl10_88 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f1229,plain,
( spl10_148
| spl10_36
| ~ spl10_69 ),
inference(avatar_split_clause,[],[f705,f668,f521,f1226]) ).
fof(f705,plain,
( leq(host(sK6),index(pendack,host(sK6)))
| spl10_36
| ~ spl10_69 ),
inference(resolution,[],[f669,f523]) ).
fof(f1222,plain,
( ~ spl10_3
| spl10_147
| ~ spl10_10
| ~ spl10_79 ),
inference(avatar_split_clause,[],[f736,f730,f381,f1220,f345]) ).
fof(f730,plain,
( spl10_79
<=> ! [X18,X16,X17] :
( ~ elem(m_Down(X17),queue(host(X16)))
| elec_2 != index(status,host(X18))
| host(X18) != host(X17)
| ~ setIn(X18,alive)
| ~ setIn(X16,alive)
| leq(host(X18),host(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_79])]) ).
fof(f736,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK6)
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| leq(host(sK6),host(X1)) )
| ~ spl10_10
| ~ spl10_79 ),
inference(trivial_inequality_removal,[],[f734]) ).
fof(f734,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK6)
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| leq(host(sK6),host(X1)) )
| ~ spl10_10
| ~ spl10_79 ),
inference(superposition,[],[f731,f383]) ).
fof(f731,plain,
( ! [X18,X16,X17] :
( elec_2 != index(status,host(X18))
| ~ elem(m_Down(X17),queue(host(X16)))
| host(X18) != host(X17)
| ~ setIn(X18,alive)
| ~ setIn(X16,alive)
| leq(host(X18),host(X16)) )
| ~ spl10_79 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f1213,plain,
( spl10_146
| ~ spl10_39
| ~ spl10_86 ),
inference(avatar_split_clause,[],[f782,f763,f540,f1211]) ).
fof(f782,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl10_39
| ~ spl10_86 ),
inference(resolution,[],[f764,f541]) ).
fof(f1206,plain,
( ~ spl10_3
| spl10_145
| ~ spl10_10
| ~ spl10_78 ),
inference(avatar_split_clause,[],[f727,f721,f381,f1204,f345]) ).
fof(f721,plain,
( spl10_78
<=> ! [X20,X19] :
( leq(index(pendack,host(X20)),host(X19))
| elec_2 != index(status,host(X20))
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_78])]) ).
fof(f727,plain,
( ! [X0] :
( leq(index(pendack,host(sK6)),host(X0))
| ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive) )
| ~ spl10_10
| ~ spl10_78 ),
inference(trivial_inequality_removal,[],[f725]) ).
fof(f725,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK6)),host(X0))
| ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive) )
| ~ spl10_10
| ~ spl10_78 ),
inference(superposition,[],[f722,f383]) ).
fof(f722,plain,
( ! [X19,X20] :
( elec_2 != index(status,host(X20))
| leq(index(pendack,host(X20)),host(X19))
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) )
| ~ spl10_78 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f1198,plain,
( spl10_144
| ~ spl10_39
| ~ spl10_69 ),
inference(avatar_split_clause,[],[f706,f668,f540,f1196]) ).
fof(f706,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl10_39
| ~ spl10_69 ),
inference(resolution,[],[f669,f541]) ).
fof(f1191,plain,
( ~ spl10_142
| spl10_143
| ~ spl10_14
| ~ spl10_109 ),
inference(avatar_split_clause,[],[f924,f908,f402,f1188,f1184]) ).
fof(f924,plain,
( index(pendack,host(sK6)) = s(host(sK5))
| ~ leq(index(pendack,host(sK6)),s(host(sK5)))
| ~ spl10_14
| ~ spl10_109 ),
inference(resolution,[],[f909,f404]) ).
fof(f1179,plain,
( spl10_141
| ~ spl10_64
| ~ spl10_140 ),
inference(avatar_split_clause,[],[f1175,f1172,f647,f1177]) ).
fof(f1177,plain,
( spl10_141
<=> ! [X0] :
( sK5 = X0
| host(X0) != host(sK5)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_141])]) ).
fof(f1172,plain,
( spl10_140
<=> ! [X0] :
( host(X0) != host(sK5)
| sK3 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_140])]) ).
fof(f1175,plain,
( ! [X0] :
( sK5 = X0
| host(X0) != host(sK5)
| ~ setIn(X0,alive) )
| ~ spl10_64
| ~ spl10_140 ),
inference(forward_demodulation,[],[f1173,f649]) ).
fof(f1173,plain,
( ! [X0] :
( host(X0) != host(sK5)
| sK3 = X0
| ~ setIn(X0,alive) )
| ~ spl10_140 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1174,plain,
( ~ spl10_1
| spl10_140
| ~ spl10_5
| ~ spl10_33 ),
inference(avatar_split_clause,[],[f498,f495,f355,f1172,f335]) ).
fof(f355,plain,
( spl10_5
<=> host(sK3) = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f495,plain,
( spl10_33
<=> ! [X25,X24] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X25) != host(X24)
| X24 = X25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_33])]) ).
fof(f498,plain,
( ! [X0] :
( host(X0) != host(sK5)
| ~ setIn(X0,alive)
| ~ setIn(sK3,alive)
| sK3 = X0 )
| ~ spl10_5
| ~ spl10_33 ),
inference(superposition,[],[f496,f357]) ).
fof(f357,plain,
( host(sK3) = host(sK5)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f496,plain,
( ! [X24,X25] :
( host(X25) != host(X24)
| ~ setIn(X24,alive)
| ~ setIn(X25,alive)
| X24 = X25 )
| ~ spl10_33 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1170,plain,
( spl10_139
| ~ spl10_25
| ~ spl10_101 ),
inference(avatar_split_clause,[],[f893,f857,f457,f1168]) ).
fof(f1168,plain,
( spl10_139
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_139])]) ).
fof(f893,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl10_25
| ~ spl10_101 ),
inference(resolution,[],[f858,f458]) ).
fof(f1166,plain,
( spl10_138
| ~ spl10_41
| ~ spl10_83 ),
inference(avatar_split_clause,[],[f773,f751,f548,f1164]) ).
fof(f1164,plain,
( spl10_138
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_138])]) ).
fof(f773,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl10_41
| ~ spl10_83 ),
inference(resolution,[],[f752,f549]) ).
fof(f1148,plain,
( ~ spl10_137
| ~ spl10_131
| ~ spl10_133 ),
inference(avatar_split_clause,[],[f1126,f1123,f1110,f1145]) ).
fof(f1145,plain,
( spl10_137
<=> elem(m_Ack(sK5,sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_137])]) ).
fof(f1126,plain,
( ~ elem(m_Ack(sK5,sK6),sK2)
| ~ spl10_131
| ~ spl10_133 ),
inference(resolution,[],[f1124,f1111]) ).
fof(f1143,plain,
( spl10_136
| ~ spl10_13
| ~ spl10_123 ),
inference(avatar_split_clause,[],[f1053,f1021,f397,f1141]) ).
fof(f1053,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK5)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl10_13
| ~ spl10_123 ),
inference(superposition,[],[f1022,f399]) ).
fof(f1139,plain,
( spl10_135
| ~ spl10_13
| ~ spl10_121 ),
inference(avatar_split_clause,[],[f1030,f1013,f397,f1137]) ).
fof(f1030,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK5)),X0)
| ~ spl10_13
| ~ spl10_121 ),
inference(superposition,[],[f1014,f399]) ).
fof(f1132,plain,
( spl10_134
| ~ spl10_14
| ~ spl10_110 ),
inference(avatar_split_clause,[],[f933,f912,f402,f1130]) ).
fof(f933,plain,
( ! [X0] :
( leq(X0,index(pendack,host(sK6)))
| ~ leq(X0,s(host(sK5))) )
| ~ spl10_14
| ~ spl10_110 ),
inference(resolution,[],[f913,f404]) ).
fof(f1125,plain,
( ~ spl10_3
| spl10_133
| ~ spl10_10
| ~ spl10_37 ),
inference(avatar_split_clause,[],[f532,f526,f381,f1123,f345]) ).
fof(f526,plain,
( spl10_37
<=> ! [X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X23))
| ~ setIn(X23,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_37])]) ).
fof(f532,plain,
( ! [X0] :
( ~ elem(m_Ack(X0,sK6),queue(host(X0)))
| ~ setIn(sK6,alive) )
| ~ spl10_10
| ~ spl10_37 ),
inference(trivial_inequality_removal,[],[f530]) ).
fof(f530,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,sK6),queue(host(X0)))
| ~ setIn(sK6,alive) )
| ~ spl10_10
| ~ spl10_37 ),
inference(superposition,[],[f527,f383]) ).
fof(f527,plain,
( ! [X22,X23] :
( elec_2 != index(status,host(X23))
| ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ~ setIn(X23,alive) )
| ~ spl10_37 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1121,plain,
( spl10_132
| ~ spl10_3
| ~ spl10_10
| ~ spl10_35 ),
inference(avatar_split_clause,[],[f519,f507,f381,f345,f1118]) ).
fof(f519,plain,
( ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6))
| ~ spl10_10
| ~ spl10_35 ),
inference(trivial_inequality_removal,[],[f517]) ).
fof(f517,plain,
( elec_2 != elec_2
| ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6))
| ~ spl10_10
| ~ spl10_35 ),
inference(superposition,[],[f508,f383]) ).
fof(f1112,plain,
( spl10_131
| ~ spl10_13
| ~ spl10_106 ),
inference(avatar_split_clause,[],[f898,f878,f397,f1110]) ).
fof(f898,plain,
( ! [X0] :
( elem(X0,queue(host(sK5)))
| ~ elem(X0,sK2) )
| ~ spl10_13
| ~ spl10_106 ),
inference(superposition,[],[f879,f399]) ).
fof(f1094,plain,
spl10_130,
inference(avatar_split_clause,[],[f277,f1092]) ).
fof(f277,plain,
! [X3,X0,X1] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK9(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1)))
& pidElem(sK9(X0,X1))
& pidElem(X0)
& elem(sK9(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,[sK9])],[f168,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK9(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1)))
& pidElem(sK9(X0,X1))
& pidElem(X0)
& elem(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
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) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f167]) ).
fof(f167,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(f1090,plain,
spl10_129,
inference(avatar_split_clause,[],[f268,f1088]) ).
fof(f268,plain,
! [X3,X0,X1] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK8(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK8(X0,X1)))
& pidElem(sK8(X0,X1))
& pidElem(X0)
& elem(sK8(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,[sK8])],[f162,f163]) ).
fof(f163,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(sK8(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK8(X0,X1)))
& pidElem(sK8(X0,X1))
& pidElem(X0)
& elem(sK8(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
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) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f161]) ).
fof(f161,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(f1079,plain,
spl10_128,
inference(avatar_split_clause,[],[f300,f1077]) ).
fof(f1077,plain,
( spl10_128
<=> ! [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,[spl10_128])]) ).
fof(f300,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(f1071,plain,
spl10_127,
inference(avatar_split_clause,[],[f281,f1069]) ).
fof(f281,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK9(X0,X1))) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1067,plain,
( spl10_126
| ~ spl10_13
| ~ spl10_65 ),
inference(avatar_split_clause,[],[f700,f652,f397,f1064]) ).
fof(f1064,plain,
( spl10_126
<=> m_Down(sK4) = head(queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_126])]) ).
fof(f700,plain,
( m_Down(sK4) = head(queue(host(sK5)))
| ~ spl10_13
| ~ spl10_65 ),
inference(superposition,[],[f653,f399]) ).
fof(f1062,plain,
spl10_125,
inference(avatar_split_clause,[],[f272,f1060]) ).
fof(f272,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK8(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f1058,plain,
spl10_124,
inference(avatar_split_clause,[],[f231,f1056]) ).
fof(f231,plain,
! [X0] :
( m_Down(sK7(X0)) = X0
| m_Halt(sK7(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK7(X0)) = X0
| m_Halt(sK7(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f152,f153]) ).
fof(f153,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK7(X0)) = X0
| m_Halt(sK7(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f152,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,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
fof(f1023,plain,
spl10_123,
inference(avatar_split_clause,[],[f304,f1021]) ).
fof(f304,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f1019,plain,
spl10_122,
inference(avatar_split_clause,[],[f301,f1017]) ).
fof(f301,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[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(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f1015,plain,
spl10_121,
inference(avatar_split_clause,[],[f297,f1013]) ).
fof(f297,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(f1009,plain,
spl10_120,
inference(avatar_split_clause,[],[f286,f1007]) ).
fof(f286,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[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(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f1005,plain,
spl10_119,
inference(avatar_split_clause,[],[f253,f1003]) ).
fof(f1003,plain,
( spl10_119
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_119])]) ).
fof(f253,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
fof(f970,plain,
spl10_118,
inference(avatar_split_clause,[],[f308,f968]) ).
fof(f968,plain,
( spl10_118
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_118])]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f966,plain,
spl10_117,
inference(avatar_split_clause,[],[f307,f964]) ).
fof(f964,plain,
( spl10_117
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_117])]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f962,plain,
spl10_116,
inference(avatar_split_clause,[],[f282,f960]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK9(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f958,plain,
spl10_115,
inference(avatar_split_clause,[],[f273,f956]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK8(X0,X1))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f954,plain,
spl10_114,
inference(avatar_split_clause,[],[f255,f952]) ).
fof(f255,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f950,plain,
spl10_113,
inference(avatar_split_clause,[],[f254,f948]) ).
fof(f254,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f946,plain,
spl10_112,
inference(avatar_split_clause,[],[f230,f944]) ).
fof(f230,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3] :
( cons(head(X3),tail(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(f942,plain,
spl10_111,
inference(avatar_split_clause,[],[f229,f940]) ).
fof(f229,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(f914,plain,
spl10_110,
inference(avatar_split_clause,[],[f299,f912]) ).
fof(f299,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f910,plain,
spl10_109,
inference(avatar_split_clause,[],[f289,f908]) ).
fof(f289,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f906,plain,
spl10_108,
inference(avatar_split_clause,[],[f285,f904]) ).
fof(f285,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
fof(f902,plain,
spl10_107,
inference(avatar_split_clause,[],[f276,f900]) ).
fof(f276,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f880,plain,
spl10_106,
inference(avatar_split_clause,[],[f306,f878]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f876,plain,
spl10_105,
inference(avatar_split_clause,[],[f303,f874]) ).
fof(f303,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f872,plain,
( spl10_103
| ~ spl10_104
| ~ spl10_13
| ~ spl10_70 ),
inference(avatar_split_clause,[],[f714,f672,f397,f869,f865]) ).
fof(f714,plain,
( ~ ordered(queue(host(sK5)))
| ordered(sK2)
| ~ spl10_13
| ~ spl10_70 ),
inference(superposition,[],[f673,f399]) ).
fof(f863,plain,
spl10_102,
inference(avatar_split_clause,[],[f298,f861]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(f859,plain,
spl10_101,
inference(avatar_split_clause,[],[f278,f857]) ).
fof(f278,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f855,plain,
spl10_100,
inference(avatar_split_clause,[],[f269,f853]) ).
fof(f269,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f851,plain,
spl10_99,
inference(avatar_split_clause,[],[f267,f849]) ).
fof(f267,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f847,plain,
spl10_98,
inference(avatar_split_clause,[],[f266,f845]) ).
fof(f266,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f843,plain,
spl10_97,
inference(avatar_split_clause,[],[f264,f841]) ).
fof(f264,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f839,plain,
spl10_96,
inference(avatar_split_clause,[],[f262,f837]) ).
fof(f837,plain,
( spl10_96
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_96])]) ).
fof(f262,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f835,plain,
spl10_95,
inference(avatar_split_clause,[],[f260,f833]) ).
fof(f833,plain,
( spl10_95
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_95])]) ).
fof(f260,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f831,plain,
spl10_94,
inference(avatar_split_clause,[],[f258,f829]) ).
fof(f829,plain,
( spl10_94
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_94])]) ).
fof(f258,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f827,plain,
spl10_93,
inference(avatar_split_clause,[],[f256,f825]) ).
fof(f825,plain,
( spl10_93
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_93])]) ).
fof(f256,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f823,plain,
( spl10_92
| ~ spl10_13
| ~ spl10_66 ),
inference(avatar_split_clause,[],[f701,f656,f397,f820]) ).
fof(f820,plain,
( spl10_92
<=> sK2 = tail(queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_92])]) ).
fof(f701,plain,
( sK2 = tail(queue(host(sK5)))
| ~ spl10_13
| ~ spl10_66 ),
inference(superposition,[],[f657,f399]) ).
fof(f813,plain,
spl10_91,
inference(avatar_split_clause,[],[f193,f811]) ).
fof(f193,plain,
! [X6,X7] :
( ~ leq(index(pendack,host(X6)),index(pendack,host(X7)))
| elec_2 != index(status,host(X7))
| elec_2 != index(status,host(X6))
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| leq(host(X6),host(X7)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( leq(s(host(sK3)),index(pendack,host(sK6)))
& elec_2 = index(status,host(sK6))
& setIn(sK6,alive)
& setIn(sK5,alive)
& ~ leq(host(sK5),host(sK6))
& host(sK3) != host(sK6)
& host(sK3) = host(sK5)
& ~ leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X5] :
( host(sK4) = X5
| setIn(X5,index(down,host(sK3)))
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X6,X7] :
( ~ leq(index(pendack,host(X6)),index(pendack,host(X7)))
| elec_2 != index(status,host(X7))
| elec_2 != index(status,host(X6))
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| leq(host(X6),host(X7)) )
& ! [X8,X9,X10] :
( leq(index(pendack,host(X10)),host(X8))
| elec_2 != index(status,host(X10))
| host(X9) != host(X10)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X10,alive)
| ~ setIn(X8,alive) )
& ! [X11,X12,X13] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X11))
| host(X13) != host(X12)
| ~ setIn(X13,alive)
| ~ setIn(X11,alive) )
& ! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X17),queue(host(X16)))
| elec_2 != index(status,host(X18))
| host(X18) != host(X17)
| ~ setIn(X18,alive)
| ~ setIn(X16,alive)
| leq(host(X18),host(X16)) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| elec_2 != index(status,host(X20))
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) )
& ! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| ( elec_2 != index(status,host(X21))
& elec_1 != index(status,host(X21)) ) )
& ! [X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X23))
| ~ setIn(X23,alive) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X25) != host(X24)
| X24 = X25 )
& ! [X26,X27,X28] :
( ~ leq(host(X26),host(X28))
| ~ elem(m_Ack(X28,X26),queue(host(X27))) )
& ! [X29] :
( ~ leq(index(pendack,host(X29)),host(X29))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Halt(X31),queue(host(X30))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f146,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( leq(s(host(X1)),index(pendack,host(X4)))
& elec_2 = index(status,host(X4))
& setIn(X4,alive)
& setIn(X3,alive)
& ~ leq(host(X3),host(X4))
& host(X1) != host(X4) )
& host(X3) = host(X1) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X5] :
( host(X2) = X5
| setIn(X5,index(down,host(X1)))
| ~ leq(s(zero),X5)
| leq(host(X1),X5) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X6,X7] :
( ~ leq(index(pendack,host(X6)),index(pendack,host(X7)))
| elec_2 != index(status,host(X7))
| elec_2 != index(status,host(X6))
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| leq(host(X6),host(X7)) )
& ! [X8,X9,X10] :
( leq(index(pendack,host(X10)),host(X8))
| elec_2 != index(status,host(X10))
| host(X9) != host(X10)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X10,alive)
| ~ setIn(X8,alive) )
& ! [X11,X12,X13] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X11))
| host(X13) != host(X12)
| ~ setIn(X13,alive)
| ~ setIn(X11,alive) )
& ! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X17),queue(host(X16)))
| elec_2 != index(status,host(X18))
| host(X18) != host(X17)
| ~ setIn(X18,alive)
| ~ setIn(X16,alive)
| leq(host(X18),host(X16)) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| elec_2 != index(status,host(X20))
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) )
& ! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| ( elec_2 != index(status,host(X21))
& elec_1 != index(status,host(X21)) ) )
& ! [X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X23))
| ~ setIn(X23,alive) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X25) != host(X24)
| X24 = X25 )
& ! [X26,X27,X28] :
( ~ leq(host(X26),host(X28))
| ~ elem(m_Ack(X28,X26),queue(host(X27))) )
& ! [X29] :
( ~ leq(index(pendack,host(X29)),host(X29))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Halt(X31),queue(host(X30))) ) )
=> ( ? [X3] :
( ? [X4] :
( leq(s(host(sK3)),index(pendack,host(X4)))
& elec_2 = index(status,host(X4))
& setIn(X4,alive)
& setIn(X3,alive)
& ~ leq(host(X3),host(X4))
& host(X4) != host(sK3) )
& host(X3) = host(sK3) )
& ~ leq(nbr_proc,host(sK3))
& elec_1 = index(status,host(sK3))
& ! [X5] :
( host(sK4) = X5
| setIn(X5,index(down,host(sK3)))
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X6,X7] :
( ~ leq(index(pendack,host(X6)),index(pendack,host(X7)))
| elec_2 != index(status,host(X7))
| elec_2 != index(status,host(X6))
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| leq(host(X6),host(X7)) )
& ! [X8,X9,X10] :
( leq(index(pendack,host(X10)),host(X8))
| elec_2 != index(status,host(X10))
| host(X9) != host(X10)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X10,alive)
| ~ setIn(X8,alive) )
& ! [X11,X12,X13] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X11))
| host(X13) != host(X12)
| ~ setIn(X13,alive)
| ~ setIn(X11,alive) )
& ! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X17),queue(host(X16)))
| elec_2 != index(status,host(X18))
| host(X18) != host(X17)
| ~ setIn(X18,alive)
| ~ setIn(X16,alive)
| leq(host(X18),host(X16)) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| elec_2 != index(status,host(X20))
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) )
& ! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| ( elec_2 != index(status,host(X21))
& elec_1 != index(status,host(X21)) ) )
& ! [X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X23))
| ~ setIn(X23,alive) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X25) != host(X24)
| X24 = X25 )
& ! [X26,X27,X28] :
( ~ leq(host(X26),host(X28))
| ~ elem(m_Ack(X28,X26),queue(host(X27))) )
& ! [X29] :
( ~ leq(index(pendack,host(X29)),host(X29))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Halt(X31),queue(host(X30))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ? [X4] :
( leq(s(host(sK3)),index(pendack,host(X4)))
& elec_2 = index(status,host(X4))
& setIn(X4,alive)
& setIn(X3,alive)
& ~ leq(host(X3),host(X4))
& host(X4) != host(sK3) )
& host(X3) = host(sK3) )
=> ( ? [X4] :
( leq(s(host(sK3)),index(pendack,host(X4)))
& elec_2 = index(status,host(X4))
& setIn(X4,alive)
& setIn(sK5,alive)
& ~ leq(host(sK5),host(X4))
& host(X4) != host(sK3) )
& host(sK3) = host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X4] :
( leq(s(host(sK3)),index(pendack,host(X4)))
& elec_2 = index(status,host(X4))
& setIn(X4,alive)
& setIn(sK5,alive)
& ~ leq(host(sK5),host(X4))
& host(X4) != host(sK3) )
=> ( leq(s(host(sK3)),index(pendack,host(sK6)))
& elec_2 = index(status,host(sK6))
& setIn(sK6,alive)
& setIn(sK5,alive)
& ~ leq(host(sK5),host(sK6))
& host(sK3) != host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( leq(s(host(X1)),index(pendack,host(X4)))
& elec_2 = index(status,host(X4))
& setIn(X4,alive)
& setIn(X3,alive)
& ~ leq(host(X3),host(X4))
& host(X1) != host(X4) )
& host(X3) = host(X1) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X5] :
( host(X2) = X5
| setIn(X5,index(down,host(X1)))
| ~ leq(s(zero),X5)
| leq(host(X1),X5) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X6,X7] :
( ~ leq(index(pendack,host(X6)),index(pendack,host(X7)))
| elec_2 != index(status,host(X7))
| elec_2 != index(status,host(X6))
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| leq(host(X6),host(X7)) )
& ! [X8,X9,X10] :
( leq(index(pendack,host(X10)),host(X8))
| elec_2 != index(status,host(X10))
| host(X9) != host(X10)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X10,alive)
| ~ setIn(X8,alive) )
& ! [X11,X12,X13] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X11))
| host(X13) != host(X12)
| ~ setIn(X13,alive)
| ~ setIn(X11,alive) )
& ! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X17),queue(host(X16)))
| elec_2 != index(status,host(X18))
| host(X18) != host(X17)
| ~ setIn(X18,alive)
| ~ setIn(X16,alive)
| leq(host(X18),host(X16)) )
& ! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| elec_2 != index(status,host(X20))
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) )
& ! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| ( elec_2 != index(status,host(X21))
& elec_1 != index(status,host(X21)) ) )
& ! [X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X23))
| ~ setIn(X23,alive) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X25) != host(X24)
| X24 = X25 )
& ! [X26,X27,X28] :
( ~ leq(host(X26),host(X28))
| ~ elem(m_Ack(X28,X26),queue(host(X27))) )
& ! [X29] :
( ~ leq(index(pendack,host(X29)),host(X29))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Halt(X31),queue(host(X30))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X2,X3] :
( ? [X31] :
( ? [X32] :
( leq(s(host(X2)),index(pendack,host(X32)))
& elec_2 = index(status,host(X32))
& setIn(X32,alive)
& setIn(X31,alive)
& ~ leq(host(X31),host(X32))
& host(X2) != host(X32) )
& host(X2) = host(X31) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X30] :
( host(X3) = X30
| setIn(X30,index(down,host(X2)))
| ~ leq(s(zero),X30)
| leq(host(X2),X30) )
& ( 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] :
( ~ leq(index(pendack,host(X4)),index(pendack,host(X5)))
| elec_2 != index(status,host(X5))
| elec_2 != index(status,host(X4))
| ~ setIn(X5,alive)
| ~ setIn(X4,alive)
| leq(host(X4),host(X5)) )
& ! [X6,X7,X8] :
( leq(index(pendack,host(X8)),host(X6))
| elec_2 != index(status,host(X8))
| host(X8) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6)))
| ~ setIn(X8,alive)
| ~ setIn(X6,alive) )
& ! [X9,X10,X11] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_2 != index(status,host(X11))
| elec_2 != index(status,host(X9))
| host(X11) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive) )
& ! [X12,X13] :
( leq(index(pendack,host(X13)),host(X12))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) )
& ! [X14,X15,X16] :
( ~ elem(m_Down(X15),queue(host(X14)))
| elec_2 != index(status,host(X16))
| host(X15) != host(X16)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| leq(host(X16),host(X14)) )
& ! [X17,X18] :
( leq(index(pendack,host(X18)),host(X17))
| elec_2 != index(status,host(X18))
| ~ setIn(host(X18),index(down,host(X17)))
| ~ setIn(X18,alive)
| ~ setIn(X17,alive) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ~ setIn(X19,alive)
| ( elec_2 != index(status,host(X19))
& elec_1 != index(status,host(X19)) ) )
& ! [X20,X21] :
( ~ elem(m_Ack(X20,X21),queue(host(X20)))
| elec_2 != index(status,host(X21))
| ~ setIn(X21,alive) )
& ! [X22,X23] :
( ~ setIn(X23,alive)
| ~ setIn(X22,alive)
| host(X22) != host(X23)
| X22 = X23 )
& ! [X24,X25,X26] :
( ~ leq(host(X24),host(X26))
| ~ elem(m_Ack(X26,X24),queue(host(X25))) )
& ! [X27] :
( ~ leq(index(pendack,host(X27)),host(X27))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(host(X28),host(X29))
| ~ elem(m_Halt(X29),queue(host(X28))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X2,X3] :
( ? [X31] :
( ? [X32] :
( leq(s(host(X2)),index(pendack,host(X32)))
& elec_2 = index(status,host(X32))
& setIn(X32,alive)
& setIn(X31,alive)
& ~ leq(host(X31),host(X32))
& host(X2) != host(X32) )
& host(X2) = host(X31) )
& ~ leq(nbr_proc,host(X2))
& elec_1 = index(status,host(X2))
& ! [X30] :
( host(X3) = X30
| setIn(X30,index(down,host(X2)))
| ~ leq(s(zero),X30)
| leq(host(X2),X30) )
& ( 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] :
( ~ leq(index(pendack,host(X4)),index(pendack,host(X5)))
| elec_2 != index(status,host(X5))
| elec_2 != index(status,host(X4))
| ~ setIn(X5,alive)
| ~ setIn(X4,alive)
| leq(host(X4),host(X5)) )
& ! [X6,X7,X8] :
( leq(index(pendack,host(X8)),host(X6))
| elec_2 != index(status,host(X8))
| host(X8) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6)))
| ~ setIn(X8,alive)
| ~ setIn(X6,alive) )
& ! [X9,X10,X11] :
( ~ elem(m_Ack(X9,X10),queue(host(X9)))
| elec_2 != index(status,host(X11))
| elec_2 != index(status,host(X9))
| host(X11) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive) )
& ! [X12,X13] :
( leq(index(pendack,host(X13)),host(X12))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X12))
| ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| leq(host(X12),host(X13)) )
& ! [X14,X15,X16] :
( ~ elem(m_Down(X15),queue(host(X14)))
| elec_2 != index(status,host(X16))
| host(X15) != host(X16)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| leq(host(X16),host(X14)) )
& ! [X17,X18] :
( leq(index(pendack,host(X18)),host(X17))
| elec_2 != index(status,host(X18))
| ~ setIn(host(X18),index(down,host(X17)))
| ~ setIn(X18,alive)
| ~ setIn(X17,alive) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ~ setIn(X19,alive)
| ( elec_2 != index(status,host(X19))
& elec_1 != index(status,host(X19)) ) )
& ! [X20,X21] :
( ~ elem(m_Ack(X20,X21),queue(host(X20)))
| elec_2 != index(status,host(X21))
| ~ setIn(X21,alive) )
& ! [X22,X23] :
( ~ setIn(X23,alive)
| ~ setIn(X22,alive)
| host(X22) != host(X23)
| X22 = X23 )
& ! [X24,X25,X26] :
( ~ leq(host(X24),host(X26))
| ~ elem(m_Ack(X26,X24),queue(host(X25))) )
& ! [X27] :
( ~ leq(index(pendack,host(X27)),host(X27))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(host(X28),host(X29))
| ~ elem(m_Halt(X29),queue(host(X28))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5] :
( ( elec_2 = index(status,host(X5))
& elec_2 = index(status,host(X4))
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X6,X7,X8] :
( ( elec_2 = index(status,host(X8))
& host(X8) = host(X7)
& elem(m_Down(X7),queue(host(X6)))
& setIn(X8,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X8)),host(X6)) )
& ! [X9,X10,X11] :
( ( elec_2 = index(status,host(X11))
& elec_2 = index(status,host(X9))
& host(X11) = host(X10)
& setIn(X11,alive)
& setIn(X9,alive) )
=> ~ elem(m_Ack(X9,X10),queue(host(X9))) )
& ! [X12,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X12))
& setIn(X13,alive)
& setIn(X12,alive)
& ~ leq(host(X12),host(X13)) )
=> leq(index(pendack,host(X13)),host(X12)) )
& ! [X14,X15,X16] :
( ( elec_2 = index(status,host(X16))
& host(X15) = host(X16)
& setIn(X16,alive)
& setIn(X14,alive)
& ~ leq(host(X16),host(X14)) )
=> ~ elem(m_Down(X15),queue(host(X14))) )
& ! [X17,X18] :
( ( elec_2 = index(status,host(X18))
& setIn(host(X18),index(down,host(X17)))
& setIn(X18,alive)
& setIn(X17,alive) )
=> leq(index(pendack,host(X18)),host(X17)) )
& ! [X19] :
( ( setIn(X19,alive)
& ( elec_2 = index(status,host(X19))
| elec_1 = index(status,host(X19)) ) )
=> index(elid,host(X19)) = X19 )
& ! [X20,X21] :
( ( elec_2 = index(status,host(X21))
& setIn(X21,alive) )
=> ~ elem(m_Ack(X20,X21),queue(host(X20))) )
& ! [X22,X23] :
( ( host(X22) = host(X23)
& X22 != X23 )
=> ( ~ setIn(X23,alive)
| ~ setIn(X22,alive) ) )
& ! [X24,X25,X26] :
( elem(m_Ack(X26,X24),queue(host(X25)))
=> ~ leq(host(X24),host(X26)) )
& ! [X27] :
( elec_2 = index(status,host(X27))
=> ~ leq(index(pendack,host(X27)),host(X27)) )
& ! [X28,X29] :
( elem(m_Halt(X29),queue(host(X28)))
=> ~ leq(host(X28),host(X29)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ( elec_1 = index(status,host(X2))
& ! [X30] :
( ( leq(s(zero),X30)
& ~ leq(host(X2),X30) )
=> ( host(X3) = X30
| setIn(X30,index(down,host(X2))) ) ) )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X31] :
( host(X2) = host(X31)
=> ! [X32] :
( host(X2) != host(X32)
=> ( ( elec_2 = index(status,host(X32))
& setIn(X32,alive)
& setIn(X31,alive)
& ~ leq(host(X31),host(X32)) )
=> ~ leq(s(host(X2)),index(pendack,host(X32))) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6] :
( elec_2 = index(status,host(X6))
=> ~ leq(index(pendack,host(X6)),host(X6)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X4) = host(X6)
=> ! [X15] :
( host(X4) != host(X15)
=> ( ( elec_2 = index(status,host(X15))
& setIn(X15,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X15)) )
=> ~ leq(s(host(X4)),index(pendack,host(X15))) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& elem(m_Down(X14),queue(host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X13),host(X6)) )
=> ~ elem(m_Down(X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(host(X13),index(down,host(X6)))
& setIn(X13,alive)
& setIn(X6,alive) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X6,X13),queue(host(X6))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6] :
( elec_2 = index(status,host(X6))
=> ~ leq(index(pendack,host(X6)),host(X6)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X4) = host(X6)
=> ! [X15] :
( host(X4) != host(X15)
=> ( ( elec_2 = index(status,host(X15))
& setIn(X15,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X15)) )
=> ~ leq(s(host(X4)),index(pendack,host(X15))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f794,plain,
spl10_90,
inference(avatar_split_clause,[],[f192,f792]) ).
fof(f192,plain,
! [X10,X8,X9] :
( leq(index(pendack,host(X10)),host(X8))
| elec_2 != index(status,host(X10))
| host(X9) != host(X10)
| ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X10,alive)
| ~ setIn(X8,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f790,plain,
spl10_89,
inference(avatar_split_clause,[],[f191,f788]) ).
fof(f191,plain,
! [X11,X12,X13] :
( ~ elem(m_Ack(X11,X12),queue(host(X11)))
| elec_2 != index(status,host(X13))
| elec_2 != index(status,host(X11))
| host(X13) != host(X12)
| ~ setIn(X13,alive)
| ~ setIn(X11,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f786,plain,
spl10_88,
inference(avatar_split_clause,[],[f190,f784]) ).
fof(f190,plain,
! [X14,X15] :
( leq(index(pendack,host(X15)),host(X14))
| elec_2 != index(status,host(X15))
| elec_2 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(host(X14),host(X15)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f779,plain,
( spl10_87
| ~ spl10_13
| ~ spl10_62 ),
inference(avatar_split_clause,[],[f645,f634,f397,f776]) ).
fof(f645,plain,
( elem(m_Down(sK4),queue(host(sK5)))
| ~ spl10_13
| ~ spl10_62 ),
inference(superposition,[],[f635,f399]) ).
fof(f765,plain,
spl10_86,
inference(avatar_split_clause,[],[f288,f763]) ).
fof(f288,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f761,plain,
spl10_85,
inference(avatar_split_clause,[],[f284,f759]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f757,plain,
spl10_84,
inference(avatar_split_clause,[],[f280,f755]) ).
fof(f280,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f753,plain,
spl10_83,
inference(avatar_split_clause,[],[f275,f751]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f749,plain,
spl10_82,
inference(avatar_split_clause,[],[f271,f747]) ).
fof(f271,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f745,plain,
spl10_81,
inference(avatar_split_clause,[],[f251,f743]) ).
fof(f251,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
fof(f741,plain,
spl10_80,
inference(avatar_split_clause,[],[f226,f739]) ).
fof(f226,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(f732,plain,
spl10_79,
inference(avatar_split_clause,[],[f189,f730]) ).
fof(f189,plain,
! [X18,X16,X17] :
( ~ elem(m_Down(X17),queue(host(X16)))
| elec_2 != index(status,host(X18))
| host(X18) != host(X17)
| ~ setIn(X18,alive)
| ~ setIn(X16,alive)
| leq(host(X18),host(X16)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f723,plain,
spl10_78,
inference(avatar_split_clause,[],[f188,f721]) ).
fof(f188,plain,
! [X19,X20] :
( leq(index(pendack,host(X20)),host(X19))
| elec_2 != index(status,host(X20))
| ~ setIn(host(X20),index(down,host(X19)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f719,plain,
( ~ spl10_77
| ~ spl10_13
| ~ spl10_58 ),
inference(avatar_split_clause,[],[f644,f618,f397,f716]) ).
fof(f618,plain,
( spl10_58
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_58])]) ).
fof(f644,plain,
( q_nil != queue(host(sK5))
| ~ spl10_13
| ~ spl10_58 ),
inference(superposition,[],[f619,f399]) ).
fof(f619,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl10_58 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f699,plain,
spl10_76,
inference(avatar_split_clause,[],[f296,f697]) ).
fof(f697,plain,
( spl10_76
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_76])]) ).
fof(f296,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f695,plain,
spl10_75,
inference(avatar_split_clause,[],[f295,f693]) ).
fof(f693,plain,
( spl10_75
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_75])]) ).
fof(f295,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f690,plain,
spl10_74,
inference(avatar_split_clause,[],[f294,f688]) ).
fof(f688,plain,
( spl10_74
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_74])]) ).
fof(f294,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f686,plain,
spl10_73,
inference(avatar_split_clause,[],[f293,f684]) ).
fof(f684,plain,
( spl10_73
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_73])]) ).
fof(f293,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f682,plain,
spl10_72,
inference(avatar_split_clause,[],[f292,f680]) ).
fof(f680,plain,
( spl10_72
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_72])]) ).
fof(f292,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f678,plain,
spl10_71,
inference(avatar_split_clause,[],[f283,f676]) ).
fof(f283,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f674,plain,
spl10_70,
inference(avatar_split_clause,[],[f274,f672]) ).
fof(f274,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f670,plain,
spl10_69,
inference(avatar_split_clause,[],[f250,f668]) ).
fof(f250,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f666,plain,
spl10_68,
inference(avatar_split_clause,[],[f249,f664]) ).
fof(f249,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
fof(f662,plain,
spl10_67,
inference(avatar_split_clause,[],[f248,f660]) ).
fof(f248,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f658,plain,
spl10_66,
inference(avatar_split_clause,[],[f247,f656]) ).
fof(f247,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f654,plain,
spl10_65,
inference(avatar_split_clause,[],[f246,f652]) ).
fof(f246,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(f650,plain,
( spl10_64
| ~ spl10_51
| ~ spl10_63 ),
inference(avatar_split_clause,[],[f643,f639,f589,f647]) ).
fof(f589,plain,
( spl10_51
<=> sK5 = index(elid,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_51])]) ).
fof(f639,plain,
( spl10_63
<=> sK3 = index(elid,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_63])]) ).
fof(f643,plain,
( sK3 = sK5
| ~ spl10_51
| ~ spl10_63 ),
inference(forward_demodulation,[],[f641,f591]) ).
fof(f591,plain,
( sK5 = index(elid,host(sK5))
| ~ spl10_51 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f641,plain,
( sK3 = index(elid,host(sK5))
| ~ spl10_63 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f642,plain,
( spl10_63
| ~ spl10_1
| ~ spl10_5
| ~ spl10_11
| ~ spl10_34 ),
inference(avatar_split_clause,[],[f515,f503,f386,f355,f335,f639]) ).
fof(f386,plain,
( spl10_11
<=> elec_1 = index(status,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f503,plain,
( spl10_34
<=> ! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
fof(f515,plain,
( ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK5))
| ~ spl10_5
| ~ spl10_11
| ~ spl10_34 ),
inference(trivial_inequality_removal,[],[f514]) ).
fof(f514,plain,
( elec_1 != elec_1
| ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK5))
| ~ spl10_5
| ~ spl10_11
| ~ spl10_34 ),
inference(forward_demodulation,[],[f510,f388]) ).
fof(f388,plain,
( elec_1 = index(status,host(sK5))
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f510,plain,
( elec_1 != index(status,host(sK5))
| ~ setIn(sK3,alive)
| sK3 = index(elid,host(sK5))
| ~ spl10_5
| ~ spl10_34 ),
inference(superposition,[],[f504,f357]) ).
fof(f504,plain,
( ! [X21] :
( elec_1 != index(status,host(X21))
| ~ setIn(X21,alive)
| index(elid,host(X21)) = X21 )
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f636,plain,
spl10_62,
inference(avatar_split_clause,[],[f321,f634]) ).
fof(f321,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f632,plain,
spl10_61,
inference(avatar_split_clause,[],[f320,f630]) ).
fof(f320,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f302]) ).
fof(f302,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f178]) ).
fof(f628,plain,
spl10_60,
inference(avatar_split_clause,[],[f279,f626]) ).
fof(f279,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f624,plain,
spl10_59,
inference(avatar_split_clause,[],[f270,f622]) ).
fof(f270,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f620,plain,
spl10_58,
inference(avatar_split_clause,[],[f245,f618]) ).
fof(f245,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X4,X3] : cons(X4,X3) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(f616,plain,
spl10_57,
inference(avatar_split_clause,[],[f244,f614]) ).
fof(f614,plain,
( spl10_57
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_57])]) ).
fof(f244,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X5,X3] : snoc(X3,X5) != q_nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
fof(f612,plain,
spl10_56,
inference(avatar_split_clause,[],[f243,f610]) ).
fof(f243,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f608,plain,
spl10_55,
inference(avatar_split_clause,[],[f242,f606]) ).
fof(f242,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f604,plain,
spl10_54,
inference(avatar_split_clause,[],[f241,f602]) ).
fof(f241,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f600,plain,
spl10_53,
inference(avatar_split_clause,[],[f240,f598]) ).
fof(f240,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f596,plain,
spl10_52,
inference(avatar_split_clause,[],[f239,f594]) ).
fof(f594,plain,
( spl10_52
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_52])]) ).
fof(f239,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f592,plain,
( spl10_51
| ~ spl10_2
| ~ spl10_11
| ~ spl10_34 ),
inference(avatar_split_clause,[],[f513,f503,f386,f340,f589]) ).
fof(f513,plain,
( ~ setIn(sK5,alive)
| sK5 = index(elid,host(sK5))
| ~ spl10_11
| ~ spl10_34 ),
inference(trivial_inequality_removal,[],[f512]) ).
fof(f512,plain,
( elec_1 != elec_1
| ~ setIn(sK5,alive)
| sK5 = index(elid,host(sK5))
| ~ spl10_11
| ~ spl10_34 ),
inference(superposition,[],[f504,f388]) ).
fof(f587,plain,
spl10_50,
inference(avatar_split_clause,[],[f238,f585]) ).
fof(f585,plain,
( spl10_50
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_50])]) ).
fof(f238,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f583,plain,
spl10_49,
inference(avatar_split_clause,[],[f237,f581]) ).
fof(f581,plain,
( spl10_49
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_49])]) ).
fof(f237,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(f579,plain,
spl10_48,
inference(avatar_split_clause,[],[f236,f577]) ).
fof(f577,plain,
( spl10_48
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_48])]) ).
fof(f236,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f575,plain,
spl10_47,
inference(avatar_split_clause,[],[f235,f573]) ).
fof(f573,plain,
( spl10_47
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_47])]) ).
fof(f235,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f571,plain,
spl10_46,
inference(avatar_split_clause,[],[f234,f569]) ).
fof(f569,plain,
( spl10_46
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_46])]) ).
fof(f234,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(f567,plain,
spl10_45,
inference(avatar_split_clause,[],[f225,f565]) ).
fof(f225,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f563,plain,
spl10_44,
inference(avatar_split_clause,[],[f224,f561]) ).
fof(f224,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
fof(f559,plain,
spl10_43,
inference(avatar_split_clause,[],[f223,f557]) ).
fof(f223,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f555,plain,
spl10_42,
inference(avatar_split_clause,[],[f325,f553]) ).
fof(f325,plain,
! [X5] :
( leq(host(sK5),X5)
| setIn(X5,index(down,host(sK5)))
| host(sK4) = X5
| ~ leq(s(zero),X5) ),
inference(forward_demodulation,[],[f324,f202]) ).
fof(f202,plain,
host(sK3) = host(sK5),
inference(cnf_transformation,[],[f150]) ).
fof(f324,plain,
! [X5] :
( setIn(X5,index(down,host(sK5)))
| host(sK4) = X5
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) ),
inference(forward_demodulation,[],[f199,f202]) ).
fof(f199,plain,
! [X5] :
( host(sK4) = X5
| setIn(X5,index(down,host(sK3)))
| ~ leq(s(zero),X5)
| leq(host(sK3),X5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f550,plain,
spl10_41,
inference(avatar_split_clause,[],[f333,f548]) ).
fof(f333,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f228,f226]) ).
fof(f228,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
fof(f546,plain,
spl10_40,
inference(avatar_split_clause,[],[f222,f544]) ).
fof(f222,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f542,plain,
spl10_39,
inference(avatar_split_clause,[],[f221,f540]) ).
fof(f221,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f538,plain,
spl10_38,
inference(avatar_split_clause,[],[f217,f535]) ).
fof(f217,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
fof(f528,plain,
spl10_37,
inference(avatar_split_clause,[],[f185,f526]) ).
fof(f185,plain,
! [X22,X23] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| elec_2 != index(status,host(X23))
| ~ setIn(X23,alive) ),
inference(cnf_transformation,[],[f150]) ).
fof(f524,plain,
( ~ spl10_36
| ~ spl10_10
| ~ spl10_30 ),
inference(avatar_split_clause,[],[f493,f477,f381,f521]) ).
fof(f477,plain,
( spl10_30
<=> ! [X29] :
( ~ leq(index(pendack,host(X29)),host(X29))
| elec_2 != index(status,host(X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).
fof(f493,plain,
( ~ leq(index(pendack,host(sK6)),host(sK6))
| ~ spl10_10
| ~ spl10_30 ),
inference(trivial_inequality_removal,[],[f491]) ).
fof(f491,plain,
( elec_2 != elec_2
| ~ leq(index(pendack,host(sK6)),host(sK6))
| ~ spl10_10
| ~ spl10_30 ),
inference(superposition,[],[f478,f383]) ).
fof(f478,plain,
( ! [X29] :
( elec_2 != index(status,host(X29))
| ~ leq(index(pendack,host(X29)),host(X29)) )
| ~ spl10_30 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f509,plain,
spl10_35,
inference(avatar_split_clause,[],[f187,f507]) ).
fof(f187,plain,
! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| elec_2 != index(status,host(X21)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f505,plain,
spl10_34,
inference(avatar_split_clause,[],[f186,f503]) ).
fof(f186,plain,
! [X21] :
( index(elid,host(X21)) = X21
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f497,plain,
spl10_33,
inference(avatar_split_clause,[],[f184,f495]) ).
fof(f184,plain,
! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X25) != host(X24)
| X24 = X25 ),
inference(cnf_transformation,[],[f150]) ).
fof(f488,plain,
( ~ spl10_31
| ~ spl10_32 ),
inference(avatar_split_clause,[],[f330,f485,f481]) ).
fof(f481,plain,
( spl10_31
<=> norm = index(status,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
fof(f485,plain,
( spl10_32
<=> host(sK4) = index(ldr,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).
fof(f330,plain,
( host(sK4) != index(ldr,host(sK5))
| norm != index(status,host(sK5)) ),
inference(forward_demodulation,[],[f329,f202]) ).
fof(f329,plain,
( norm != index(status,host(sK5))
| host(sK4) != index(ldr,host(sK3)) ),
inference(forward_demodulation,[],[f197,f202]) ).
fof(f197,plain,
( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f479,plain,
spl10_30,
inference(avatar_split_clause,[],[f182,f477]) ).
fof(f182,plain,
! [X29] :
( ~ leq(index(pendack,host(X29)),host(X29))
| elec_2 != index(status,host(X29)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f475,plain,
spl10_29,
inference(avatar_split_clause,[],[f310,f473]) ).
fof(f310,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f471,plain,
spl10_28,
inference(avatar_split_clause,[],[f309,f469]) ).
fof(f309,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f154]) ).
fof(f467,plain,
spl10_27,
inference(avatar_split_clause,[],[f220,f465]) ).
fof(f220,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f463,plain,
spl10_26,
inference(avatar_split_clause,[],[f219,f461]) ).
fof(f461,plain,
( spl10_26
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).
fof(f219,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(f459,plain,
spl10_25,
inference(avatar_split_clause,[],[f218,f457]) ).
fof(f218,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
fof(f455,plain,
~ spl10_24,
inference(avatar_split_clause,[],[f216,f452]) ).
fof(f452,plain,
( spl10_24
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f216,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f450,plain,
~ spl10_23,
inference(avatar_split_clause,[],[f215,f447]) ).
fof(f447,plain,
( spl10_23
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f215,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
fof(f445,plain,
~ spl10_22,
inference(avatar_split_clause,[],[f214,f442]) ).
fof(f442,plain,
( spl10_22
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f214,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
fof(f440,plain,
~ spl10_21,
inference(avatar_split_clause,[],[f213,f437]) ).
fof(f437,plain,
( spl10_21
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
fof(f213,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
fof(f435,plain,
~ spl10_20,
inference(avatar_split_clause,[],[f212,f432]) ).
fof(f432,plain,
( spl10_20
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f212,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
fof(f430,plain,
~ spl10_19,
inference(avatar_split_clause,[],[f211,f427]) ).
fof(f427,plain,
( spl10_19
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f211,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
fof(f425,plain,
~ spl10_18,
inference(avatar_split_clause,[],[f210,f422]) ).
fof(f422,plain,
( spl10_18
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f210,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f419,plain,
spl10_17,
inference(avatar_split_clause,[],[f183,f417]) ).
fof(f183,plain,
! [X28,X26,X27] :
( ~ leq(host(X26),host(X28))
| ~ elem(m_Ack(X28,X26),queue(host(X27))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f414,plain,
spl10_16,
inference(avatar_split_clause,[],[f181,f412]) ).
fof(f181,plain,
! [X31,X30] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Halt(X31),queue(host(X30))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f410,plain,
spl10_15,
inference(avatar_split_clause,[],[f209,f407]) ).
fof(f407,plain,
( spl10_15
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f209,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f405,plain,
( spl10_14
| ~ spl10_5
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f395,f391,f355,f402]) ).
fof(f391,plain,
( spl10_12
<=> leq(s(host(sK3)),index(pendack,host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f395,plain,
( leq(s(host(sK5)),index(pendack,host(sK6)))
| ~ spl10_5
| ~ spl10_12 ),
inference(forward_demodulation,[],[f393,f357]) ).
fof(f393,plain,
( leq(s(host(sK3)),index(pendack,host(sK6)))
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f400,plain,
spl10_13,
inference(avatar_split_clause,[],[f332,f397]) ).
fof(f332,plain,
cons(m_Down(sK4),sK2) = queue(host(sK5)),
inference(forward_demodulation,[],[f194,f202]) ).
fof(f194,plain,
queue(host(sK3)) = cons(m_Down(sK4),sK2),
inference(cnf_transformation,[],[f150]) ).
fof(f394,plain,
spl10_12,
inference(avatar_split_clause,[],[f208,f391]) ).
fof(f208,plain,
leq(s(host(sK3)),index(pendack,host(sK6))),
inference(cnf_transformation,[],[f150]) ).
fof(f389,plain,
spl10_11,
inference(avatar_split_clause,[],[f323,f386]) ).
fof(f323,plain,
elec_1 = index(status,host(sK5)),
inference(forward_demodulation,[],[f200,f202]) ).
fof(f200,plain,
elec_1 = index(status,host(sK3)),
inference(cnf_transformation,[],[f150]) ).
fof(f384,plain,
spl10_10,
inference(avatar_split_clause,[],[f207,f381]) ).
fof(f207,plain,
elec_2 = index(status,host(sK6)),
inference(cnf_transformation,[],[f150]) ).
fof(f379,plain,
( ~ spl10_9
| ~ spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f364,f360,f355,f376]) ).
fof(f360,plain,
( spl10_6
<=> host(sK3) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f364,plain,
( host(sK5) != host(sK6)
| ~ spl10_5
| spl10_6 ),
inference(forward_demodulation,[],[f362,f357]) ).
fof(f362,plain,
( host(sK3) != host(sK6)
| spl10_6 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f374,plain,
~ spl10_8,
inference(avatar_split_clause,[],[f331,f371]) ).
fof(f331,plain,
~ leq(host(sK5),host(sK4)),
inference(forward_demodulation,[],[f196,f202]) ).
fof(f196,plain,
~ leq(host(sK3),host(sK4)),
inference(cnf_transformation,[],[f150]) ).
fof(f369,plain,
~ spl10_7,
inference(avatar_split_clause,[],[f204,f366]) ).
fof(f204,plain,
~ leq(host(sK5),host(sK6)),
inference(cnf_transformation,[],[f150]) ).
fof(f363,plain,
~ spl10_6,
inference(avatar_split_clause,[],[f203,f360]) ).
fof(f203,plain,
host(sK3) != host(sK6),
inference(cnf_transformation,[],[f150]) ).
fof(f358,plain,
spl10_5,
inference(avatar_split_clause,[],[f202,f355]) ).
fof(f353,plain,
~ spl10_4,
inference(avatar_split_clause,[],[f322,f350]) ).
fof(f350,plain,
( spl10_4
<=> leq(nbr_proc,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f322,plain,
~ leq(nbr_proc,host(sK5)),
inference(forward_demodulation,[],[f201,f202]) ).
fof(f201,plain,
~ leq(nbr_proc,host(sK3)),
inference(cnf_transformation,[],[f150]) ).
fof(f348,plain,
spl10_3,
inference(avatar_split_clause,[],[f206,f345]) ).
fof(f206,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f343,plain,
spl10_2,
inference(avatar_split_clause,[],[f205,f340]) ).
fof(f205,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f150]) ).
fof(f338,plain,
spl10_1,
inference(avatar_split_clause,[],[f195,f335]) ).
fof(f195,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SWV460+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 20:59:08 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (2808)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (2811)WARNING: value z3 for option sas not known
% 0.10/0.34 % (2812)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.34 % (2810)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34 % (2815)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)
% 0.10/0.34 % (2813)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)
% 0.10/0.34 % (2814)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)
% 0.10/0.34 % (2811)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.35 % (2809)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35 Detected minimum model sizes of [4]
% 0.17/0.35 Detected maximum model sizes of [max]
% 0.17/0.35 TRYING [4]
% 0.17/0.38 Detected minimum model sizes of [4]
% 0.17/0.38 Detected maximum model sizes of [max]
% 0.17/0.39 TRYING [5]
% 0.17/0.39 TRYING [4]
% 0.17/0.47 TRYING [6]
% 1.75/0.57 TRYING [5]
% 1.94/0.62 TRYING [7]
% 3.10/0.84 TRYING [8]
% 4.83/1.01 Detected minimum model sizes of [4]
% 4.83/1.01 Detected maximum model sizes of [max]
% 4.83/1.01 TRYING [4]
% 4.83/1.05 TRYING [5]
% 5.27/1.13 TRYING [6]
% 6.46/1.29 TRYING [7]
% 6.46/1.29 TRYING [9]
% 6.46/1.31 TRYING [6]
% 7.53/1.44 % (2813)First to succeed.
% 8.03/1.47 % (2813)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2808"
% 8.03/1.48 % (2813)Refutation found. Thanks to Tanya!
% 8.03/1.48 % SZS status Theorem for theBenchmark
% 8.03/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 8.03/1.49 % (2813)------------------------------
% 8.03/1.49 % (2813)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.03/1.49 % (2813)Termination reason: Refutation
% 8.03/1.49
% 8.03/1.49 % (2813)Memory used [KB]: 7375
% 8.03/1.49 % (2813)Time elapsed: 1.135 s
% 8.03/1.49 % (2813)Instructions burned: 2387 (million)
% 8.03/1.49 % (2808)Success in time 1.154 s
%------------------------------------------------------------------------------