TSTP Solution File: SWV191+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Sat Sep 2 12:55:57 EDT 2023
% Result : Theorem 3.10s 0.87s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 801
% Syntax : Number of formulae : 2776 ( 341 unt; 0 def)
% Number of atoms : 9348 (1483 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 11297 (4725 ~;4987 |; 782 &)
% ( 693 <=>; 110 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 708 ( 706 usr; 690 prp; 0-4 aty)
% Number of functors : 64 ( 64 usr; 19 con; 0-4 aty)
% Number of variables : 3409 (;3250 !; 159 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14558,plain,
$false,
inference(avatar_sat_refutation,[],[f460,f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f675,f680,f685,f690,f695,f700,f705,f710,f715,f720,f725,f730,f734,f738,f743,f748,f752,f757,f762,f767,f772,f782,f786,f797,f803,f823,f827,f831,f835,f840,f844,f848,f852,f856,f861,f865,f933,f937,f941,f945,f949,f953,f957,f961,f965,f1065,f1071,f1076,f1081,f1087,f1091,f1095,f1100,f1104,f1109,f1113,f1118,f1122,f1127,f1131,f1137,f1141,f1145,f1149,f1153,f1157,f1162,f1166,f1171,f1175,f1180,f1185,f1189,f1194,f1198,f1203,f1207,f1212,f1216,f1221,f1225,f1230,f1235,f1239,f1244,f1248,f1253,f1257,f1262,f1266,f1271,f1275,f1280,f1285,f1290,f1294,f1299,f1303,f1308,f1312,f1317,f1321,f1326,f1331,f1335,f1339,f1343,f1347,f1351,f1357,f1363,f1370,f1376,f1382,f1438,f1444,f1450,f1456,f1462,f1469,f1475,f1481,f1487,f1493,f1500,f1504,f1510,f1516,f1522,f1528,f1535,f1539,f1545,f1551,f1595,f1612,f1631,f1638,f1642,f1646,f1650,f1654,f1659,f1687,f1692,f1722,f1922,f1926,f1932,f1958,f1964,f1988,f1994,f1999,f2004,f2008,f2012,f2016,f2020,f2033,f2077,f2083,f2087,f2189,f2232,f2236,f2242,f2278,f2282,f2286,f2290,f2294,f2298,f2303,f2307,f2311,f2315,f2319,f2325,f2330,f2334,f2338,f2342,f2351,f2356,f2360,f2446,f2453,f2489,f2494,f2499,f2505,f2541,f2557,f2563,f2599,f2672,f2678,f2684,f2688,f2756,f2762,f2798,f2804,f2810,f2814,f2882,f2888,f2894,f2898,f2968,f2975,f3011,f3017,f3058,f3066,f3075,f3096,f3112,f3117,f3122,f3127,f3133,f3142,f3172,f3266,f3270,f3276,f3280,f3298,f3303,f3308,f3313,f3318,f3323,f3329,f3335,f3377,f3382,f3387,f3392,f3397,f3402,f3407,f3413,f3418,f3423,f3428,f3433,f3438,f3443,f3448,f3453,f3458,f3463,f3483,f3491,f3496,f3501,f3506,f3511,f3516,f3566,f3571,f3576,f3581,f3586,f3591,f3596,f3601,f3609,f3614,f3619,f3624,f3629,f3634,f3639,f3644,f3649,f3654,f3659,f3664,f3669,f3673,f3946,f3954,f3958,f3962,f3966,f3970,f3974,f3979,f3983,f3987,f3991,f3995,f3999,f4003,f4007,f4011,f4015,f4019,f4030,f4034,f4038,f4042,f4046,f4050,f4054,f4058,f4082,f4097,f4104,f4110,f4116,f4121,f4126,f4131,f4135,f4140,f4145,f4149,f4153,f4157,f4162,f4167,f4331,f4335,f4339,f4348,f4353,f4358,f4363,f4368,f4373,f4378,f4399,f4403,f4407,f4411,f4416,f4453,f4457,f4462,f4466,f4470,f4474,f4478,f4482,f4486,f4490,f4494,f4498,f4502,f4506,f4510,f4514,f4519,f4523,f4527,f4531,f4535,f4539,f4543,f4547,f4551,f4555,f4559,f4563,f4567,f4572,f4576,f4580,f4584,f4588,f4592,f4596,f4600,f4604,f4608,f4612,f4616,f4620,f4624,f4628,f4632,f4636,f4640,f4644,f4648,f4693,f4706,f4710,f4714,f4718,f4729,f5224,f5353,f5439,f5652,f5656,f5661,f5669,f5674,f5678,f5682,f5683,f5687,f5691,f5695,f5699,f5703,f5707,f5711,f5715,f5719,f5723,f5728,f5732,f5736,f5740,f5744,f5748,f5752,f5756,f5760,f5764,f5768,f5773,f5778,f5782,f5786,f5790,f5794,f5798,f5802,f5806,f5810,f5814,f5819,f5823,f5827,f5831,f5835,f5839,f5843,f5847,f5851,f5855,f5860,f5874,f5878,f5882,f6041,f6233,f6901,f6905,f6909,f6913,f6917,f6921,f6925,f6929,f6933,f6937,f6950,f6954,f6958,f6962,f6966,f6970,f6974,f6978,f6982,f6986,f6987,f6992,f6996,f7000,f7004,f7008,f7012,f7016,f7020,f7024,f7028,f7033,f7193,f7197,f7201,f7205,f7209,f7215,f7257,f7264,f7268,f7290,f7294,f7298,f7302,f7306,f7310,f7314,f7318,f7323,f7327,f7331,f7335,f7339,f7343,f7347,f7351,f7355,f7359,f7363,f7368,f7372,f7376,f7380,f7384,f7388,f7392,f7396,f7400,f7404,f7409,f7562,f7568,f7574,f7645,f8699,f8783,f8798,f8809,f8817,f8822,f8829,f8833,f8929,f8934,f8940,f9012,f9017,f9023,f9119,f9123,f9128,f9134,f9282,f9286,f9290,f9294,f9427,f9684,f9910,f10039,f10613,f10617,f10621,f10625,f10629,f10633,f10637,f10641,f10645,f10649,f10653,f10657,f10661,f10665,f10669,f10673,f10677,f10681,f10685,f10689,f10693,f10697,f10702,f10706,f10710,f10714,f10718,f10722,f10726,f10730,f10734,f10738,f10742,f10747,f10751,f10756,f10761,f10765,f10769,f10773,f10777,f10782,f10829,f10835,f10839,f10881,f10885,f10889,f10893,f10897,f10901,f10906,f10938,f10942,f10947,f10951,f10955,f10959,f10963,f10968,f11004,f11009,f11014,f11042,f11046,f11050,f11054,f11058,f11062,f11066,f11070,f11074,f11079,f11083,f11087,f11091,f11095,f11099,f11103,f11107,f11111,f11115,f11119,f11124,f12096,f12551,f13138,f13662,f14532,f14536,f14540,f14544,f14548,f14552,f14557]) ).
fof(f14557,plain,
( ~ spl42_56
| ~ spl42_574 ),
inference(avatar_contradiction_clause,[],[f14553]) ).
fof(f14553,plain,
( $false
| ~ spl42_56
| ~ spl42_574 ),
inference(resolution,[],[f8782,f733]) ).
fof(f733,plain,
( ! [X0] : ~ gt(X0,X0)
| ~ spl42_56 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f732,plain,
( spl42_56
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).
fof(f8782,plain,
( gt(tptp_minus_1,tptp_minus_1)
| ~ spl42_574 ),
inference(avatar_component_clause,[],[f8780]) ).
fof(f8780,plain,
( spl42_574
<=> gt(tptp_minus_1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_574])]) ).
fof(f14552,plain,
( spl42_688
| ~ spl42_106
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1582,f1333,f1143,f14550]) ).
fof(f14550,plain,
( spl42_688
<=> ! [X16,X15] :
( ~ leq(succ(X16),plus(n3,X15))
| leq(X16,plus(n2,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_688])]) ).
fof(f1143,plain,
( spl42_106
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_106])]) ).
fof(f1333,plain,
( spl42_148
<=> ! [X0] : plus(n3,X0) = succ(plus(n2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_148])]) ).
fof(f1582,plain,
( ! [X16,X15] :
( ~ leq(succ(X16),plus(n3,X15))
| leq(X16,plus(n2,X15)) )
| ~ spl42_106
| ~ spl42_148 ),
inference(superposition,[],[f1144,f1334]) ).
fof(f1334,plain,
( ! [X0] : plus(n3,X0) = succ(plus(n2,X0))
| ~ spl42_148 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1144,plain,
( ! [X0,X1] :
( ~ leq(succ(X0),succ(X1))
| leq(X0,X1) )
| ~ spl42_106 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f14548,plain,
( spl42_687
| ~ spl42_106
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1581,f1333,f1143,f14546]) ).
fof(f14546,plain,
( spl42_687
<=> ! [X13,X14] :
( ~ leq(plus(n3,X13),succ(X14))
| leq(plus(n2,X13),X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_687])]) ).
fof(f1581,plain,
( ! [X14,X13] :
( ~ leq(plus(n3,X13),succ(X14))
| leq(plus(n2,X13),X14) )
| ~ spl42_106
| ~ spl42_148 ),
inference(superposition,[],[f1144,f1334]) ).
fof(f14544,plain,
( spl42_686
| ~ spl42_107
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1566,f1329,f1147,f14542]) ).
fof(f14542,plain,
( spl42_686
<=> ! [X18,X19] :
( leq(succ(X19),plus(X18,n3))
| ~ leq(X19,plus(n2,X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_686])]) ).
fof(f1147,plain,
( spl42_107
<=> ! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).
fof(f1329,plain,
( spl42_147
<=> ! [X0] : plus(X0,n3) = succ(plus(n2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).
fof(f1566,plain,
( ! [X18,X19] :
( leq(succ(X19),plus(X18,n3))
| ~ leq(X19,plus(n2,X18)) )
| ~ spl42_107
| ~ spl42_147 ),
inference(superposition,[],[f1148,f1330]) ).
fof(f1330,plain,
( ! [X0] : plus(X0,n3) = succ(plus(n2,X0))
| ~ spl42_147 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1148,plain,
( ! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
| ~ spl42_107 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f14540,plain,
( spl42_685
| ~ spl42_107
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1565,f1329,f1147,f14538]) ).
fof(f14538,plain,
( spl42_685
<=> ! [X16,X17] :
( leq(plus(X16,n3),succ(X17))
| ~ leq(plus(n2,X16),X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_685])]) ).
fof(f1565,plain,
( ! [X16,X17] :
( leq(plus(X16,n3),succ(X17))
| ~ leq(plus(n2,X16),X17) )
| ~ spl42_107
| ~ spl42_147 ),
inference(superposition,[],[f1148,f1330]) ).
fof(f14536,plain,
( spl42_684
| ~ spl42_106
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1564,f1329,f1143,f14534]) ).
fof(f14534,plain,
( spl42_684
<=> ! [X14,X15] :
( ~ leq(succ(X15),plus(X14,n3))
| leq(X15,plus(n2,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_684])]) ).
fof(f1564,plain,
( ! [X14,X15] :
( ~ leq(succ(X15),plus(X14,n3))
| leq(X15,plus(n2,X14)) )
| ~ spl42_106
| ~ spl42_147 ),
inference(superposition,[],[f1144,f1330]) ).
fof(f14532,plain,
( spl42_683
| ~ spl42_106
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1563,f1329,f1143,f14530]) ).
fof(f14530,plain,
( spl42_683
<=> ! [X13,X12] :
( ~ leq(plus(X12,n3),succ(X13))
| leq(plus(n2,X12),X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_683])]) ).
fof(f1563,plain,
( ! [X12,X13] :
( ~ leq(plus(X12,n3),succ(X13))
| leq(plus(n2,X12),X13) )
| ~ spl42_106
| ~ spl42_147 ),
inference(superposition,[],[f1144,f1330]) ).
fof(f13662,plain,
( spl42_682
| ~ spl42_73
| ~ spl42_573 ),
inference(avatar_split_clause,[],[f8719,f8696,f838,f13659]) ).
fof(f13659,plain,
( spl42_682
<=> leq(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_682])]) ).
fof(f838,plain,
( spl42_73
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).
fof(f8696,plain,
( spl42_573
<=> gt(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_573])]) ).
fof(f8719,plain,
( leq(n5,n4)
| ~ spl42_73
| ~ spl42_573 ),
inference(resolution,[],[f8698,f839]) ).
fof(f839,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl42_73 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f8698,plain,
( gt(n4,n5)
| ~ spl42_573 ),
inference(avatar_component_clause,[],[f8696]) ).
fof(f13138,plain,
( spl42_681
| ~ spl42_75
| ~ spl42_573 ),
inference(avatar_split_clause,[],[f8718,f8696,f846,f13135]) ).
fof(f13135,plain,
( spl42_681
<=> lt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_681])]) ).
fof(f846,plain,
( spl42_75
<=> ! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_75])]) ).
fof(f8718,plain,
( lt(n5,n4)
| ~ spl42_75
| ~ spl42_573 ),
inference(resolution,[],[f8698,f847]) ).
fof(f847,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| lt(X0,X1) )
| ~ spl42_75 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f12551,plain,
( spl42_680
| ~ spl42_434
| ~ spl42_573 ),
inference(avatar_split_clause,[],[f8712,f8696,f4634,f12548]) ).
fof(f12548,plain,
( spl42_680
<=> gt(n4,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_680])]) ).
fof(f4634,plain,
( spl42_434
<=> ! [X31] :
( gt(X31,n4)
| ~ gt(X31,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_434])]) ).
fof(f8712,plain,
( gt(n4,n4)
| ~ spl42_434
| ~ spl42_573 ),
inference(resolution,[],[f8698,f4635]) ).
fof(f4635,plain,
( ! [X31] :
( ~ gt(X31,n5)
| gt(X31,n4) )
| ~ spl42_434 ),
inference(avatar_component_clause,[],[f4634]) ).
fof(f12096,plain,
( spl42_679
| ~ spl42_414
| ~ spl42_573 ),
inference(avatar_split_clause,[],[f8710,f8696,f4553,f12093]) ).
fof(f12093,plain,
( spl42_679
<=> leq(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_679])]) ).
fof(f4553,plain,
( spl42_414
<=> ! [X10] :
( ~ gt(n4,X10)
| leq(X10,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_414])]) ).
fof(f8710,plain,
( leq(n5,n3)
| ~ spl42_414
| ~ spl42_573 ),
inference(resolution,[],[f8698,f4554]) ).
fof(f4554,plain,
( ! [X10] :
( ~ gt(n4,X10)
| leq(X10,n3) )
| ~ spl42_414 ),
inference(avatar_component_clause,[],[f4553]) ).
fof(f11124,plain,
( spl42_678
| ~ spl42_77
| ~ spl42_498 ),
inference(avatar_split_clause,[],[f6946,f6230,f854,f11121]) ).
fof(f11121,plain,
( spl42_678
<=> geq(n1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_678])]) ).
fof(f854,plain,
( spl42_77
<=> ! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_77])]) ).
fof(f6230,plain,
( spl42_498
<=> leq(sK13,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_498])]) ).
fof(f6946,plain,
( geq(n1,sK13)
| ~ spl42_77
| ~ spl42_498 ),
inference(resolution,[],[f6232,f855]) ).
fof(f855,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| geq(X0,X1) )
| ~ spl42_77 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f6232,plain,
( leq(sK13,n1)
| ~ spl42_498 ),
inference(avatar_component_clause,[],[f6230]) ).
fof(f11119,plain,
( spl42_677
| ~ spl42_86
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1979,f1962,f955,f11117]) ).
fof(f11117,plain,
( spl42_677
<=> ! [X11,X12] :
( ~ gt(plus(n5,X11),X12)
| leq(X12,plus(X11,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_677])]) ).
fof(f955,plain,
( spl42_86
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f1962,plain,
( spl42_194
<=> ! [X0] : plus(n5,X0) = succ(plus(X0,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).
fof(f1979,plain,
( ! [X11,X12] :
( ~ gt(plus(n5,X11),X12)
| leq(X12,plus(X11,n4)) )
| ~ spl42_86
| ~ spl42_194 ),
inference(superposition,[],[f956,f1963]) ).
fof(f1963,plain,
( ! [X0] : plus(n5,X0) = succ(plus(X0,n4))
| ~ spl42_194 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f956,plain,
( ! [X0,X1] :
( ~ gt(succ(X1),X0)
| leq(X0,X1) )
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f11115,plain,
( spl42_676
| ~ spl42_85
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1978,f1962,f951,f11113]) ).
fof(f11113,plain,
( spl42_676
<=> ! [X9,X10] :
( gt(plus(n5,X9),X10)
| ~ leq(X10,plus(X9,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_676])]) ).
fof(f951,plain,
( spl42_85
<=> ! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).
fof(f1978,plain,
( ! [X10,X9] :
( gt(plus(n5,X9),X10)
| ~ leq(X10,plus(X9,n4)) )
| ~ spl42_85
| ~ spl42_194 ),
inference(superposition,[],[f952,f1963]) ).
fof(f952,plain,
( ! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) )
| ~ spl42_85 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f11111,plain,
( spl42_675
| ~ spl42_84
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1977,f1962,f947,f11109]) ).
fof(f11109,plain,
( spl42_675
<=> ! [X8,X7] :
( ~ leq(plus(n5,X7),X8)
| gt(X8,plus(X7,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_675])]) ).
fof(f947,plain,
( spl42_84
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).
fof(f1977,plain,
( ! [X8,X7] :
( ~ leq(plus(n5,X7),X8)
| gt(X8,plus(X7,n4)) )
| ~ spl42_84
| ~ spl42_194 ),
inference(superposition,[],[f948,f1963]) ).
fof(f948,plain,
( ! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) )
| ~ spl42_84 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f11107,plain,
( spl42_674
| ~ spl42_83
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1976,f1962,f943,f11105]) ).
fof(f11105,plain,
( spl42_674
<=> ! [X6,X5] :
( leq(X6,plus(n5,X5))
| ~ leq(X6,plus(X5,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_674])]) ).
fof(f943,plain,
( spl42_83
<=> ! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).
fof(f1976,plain,
( ! [X6,X5] :
( leq(X6,plus(n5,X5))
| ~ leq(X6,plus(X5,n4)) )
| ~ spl42_83
| ~ spl42_194 ),
inference(superposition,[],[f944,f1963]) ).
fof(f944,plain,
( ! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) )
| ~ spl42_83 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f11103,plain,
( spl42_673
| ~ spl42_82
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1975,f1962,f939,f11101]) ).
fof(f11101,plain,
( spl42_673
<=> ! [X4] : plus(plus(X4,n4),n2) = succ(plus(n5,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_673])]) ).
fof(f939,plain,
( spl42_82
<=> ! [X0] : plus(X0,n2) = succ(succ(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).
fof(f1975,plain,
( ! [X4] : plus(plus(X4,n4),n2) = succ(plus(n5,X4))
| ~ spl42_82
| ~ spl42_194 ),
inference(superposition,[],[f940,f1963]) ).
fof(f940,plain,
( ! [X0] : plus(X0,n2) = succ(succ(X0))
| ~ spl42_82 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f11099,plain,
( spl42_672
| ~ spl42_81
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1974,f1962,f935,f11097]) ).
fof(f11097,plain,
( spl42_672
<=> ! [X3] : plus(n2,plus(X3,n4)) = succ(plus(n5,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_672])]) ).
fof(f935,plain,
( spl42_81
<=> ! [X0] : succ(succ(X0)) = plus(n2,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).
fof(f1974,plain,
( ! [X3] : plus(n2,plus(X3,n4)) = succ(plus(n5,X3))
| ~ spl42_81
| ~ spl42_194 ),
inference(superposition,[],[f936,f1963]) ).
fof(f936,plain,
( ! [X0] : succ(succ(X0)) = plus(n2,X0)
| ~ spl42_81 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f11095,plain,
( spl42_671
| ~ spl42_86
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1945,f1930,f955,f11093]) ).
fof(f11093,plain,
( spl42_671
<=> ! [X11,X10] :
( ~ gt(plus(X10,n5),X11)
| leq(X11,plus(X10,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_671])]) ).
fof(f1930,plain,
( spl42_192
<=> ! [X0] : plus(X0,n5) = succ(plus(X0,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_192])]) ).
fof(f1945,plain,
( ! [X10,X11] :
( ~ gt(plus(X10,n5),X11)
| leq(X11,plus(X10,n4)) )
| ~ spl42_86
| ~ spl42_192 ),
inference(superposition,[],[f956,f1931]) ).
fof(f1931,plain,
( ! [X0] : plus(X0,n5) = succ(plus(X0,n4))
| ~ spl42_192 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f11091,plain,
( spl42_670
| ~ spl42_85
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1944,f1930,f951,f11089]) ).
fof(f11089,plain,
( spl42_670
<=> ! [X9,X8] :
( gt(plus(X8,n5),X9)
| ~ leq(X9,plus(X8,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_670])]) ).
fof(f1944,plain,
( ! [X8,X9] :
( gt(plus(X8,n5),X9)
| ~ leq(X9,plus(X8,n4)) )
| ~ spl42_85
| ~ spl42_192 ),
inference(superposition,[],[f952,f1931]) ).
fof(f11087,plain,
( spl42_669
| ~ spl42_84
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1943,f1930,f947,f11085]) ).
fof(f11085,plain,
( spl42_669
<=> ! [X6,X7] :
( ~ leq(plus(X6,n5),X7)
| gt(X7,plus(X6,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_669])]) ).
fof(f1943,plain,
( ! [X6,X7] :
( ~ leq(plus(X6,n5),X7)
| gt(X7,plus(X6,n4)) )
| ~ spl42_84
| ~ spl42_192 ),
inference(superposition,[],[f948,f1931]) ).
fof(f11083,plain,
( spl42_668
| ~ spl42_83
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1942,f1930,f943,f11081]) ).
fof(f11081,plain,
( spl42_668
<=> ! [X4,X5] :
( leq(X5,plus(X4,n5))
| ~ leq(X5,plus(X4,n4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_668])]) ).
fof(f1942,plain,
( ! [X4,X5] :
( leq(X5,plus(X4,n5))
| ~ leq(X5,plus(X4,n4)) )
| ~ spl42_83
| ~ spl42_192 ),
inference(superposition,[],[f944,f1931]) ).
fof(f11079,plain,
( spl42_667
| ~ spl42_75
| ~ spl42_484 ),
inference(avatar_split_clause,[],[f6896,f5816,f846,f11076]) ).
fof(f11076,plain,
( spl42_667
<=> lt(sK13,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_667])]) ).
fof(f5816,plain,
( spl42_484
<=> gt(n3,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_484])]) ).
fof(f6896,plain,
( lt(sK13,n3)
| ~ spl42_75
| ~ spl42_484 ),
inference(resolution,[],[f5818,f847]) ).
fof(f5818,plain,
( gt(n3,sK13)
| ~ spl42_484 ),
inference(avatar_component_clause,[],[f5816]) ).
fof(f11074,plain,
( spl42_666
| ~ spl42_82
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1941,f1930,f939,f11072]) ).
fof(f11072,plain,
( spl42_666
<=> ! [X3] : plus(plus(X3,n4),n2) = succ(plus(X3,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_666])]) ).
fof(f1941,plain,
( ! [X3] : plus(plus(X3,n4),n2) = succ(plus(X3,n5))
| ~ spl42_82
| ~ spl42_192 ),
inference(superposition,[],[f940,f1931]) ).
fof(f11070,plain,
( spl42_665
| ~ spl42_81
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1940,f1930,f935,f11068]) ).
fof(f11068,plain,
( spl42_665
<=> ! [X2] : plus(n2,plus(X2,n4)) = succ(plus(X2,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_665])]) ).
fof(f1940,plain,
( ! [X2] : plus(n2,plus(X2,n4)) = succ(plus(X2,n5))
| ~ spl42_81
| ~ spl42_192 ),
inference(superposition,[],[f936,f1931]) ).
fof(f11066,plain,
( spl42_664
| ~ spl42_88
| ~ spl42_184 ),
inference(avatar_split_clause,[],[f1829,f1648,f963,f11064]) ).
fof(f11064,plain,
( spl42_664
<=> ! [X6,X5,X7] :
( leq(X5,pred(X6))
| ~ leq(X5,X7)
| ~ gt(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_664])]) ).
fof(f963,plain,
( spl42_88
<=> ! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).
fof(f1648,plain,
( spl42_184
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).
fof(f1829,plain,
( ! [X6,X7,X5] :
( leq(X5,pred(X6))
| ~ leq(X5,X7)
| ~ gt(X6,X7) )
| ~ spl42_88
| ~ spl42_184 ),
inference(resolution,[],[f1649,f964]) ).
fof(f964,plain,
( ! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) )
| ~ spl42_88 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1649,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl42_184 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f11062,plain,
( spl42_663
| ~ spl42_83
| ~ spl42_184 ),
inference(avatar_split_clause,[],[f1828,f1648,f943,f11060]) ).
fof(f11060,plain,
( spl42_663
<=> ! [X2,X4,X3] :
( leq(X2,succ(X3))
| ~ leq(X2,X4)
| ~ leq(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_663])]) ).
fof(f1828,plain,
( ! [X2,X3,X4] :
( leq(X2,succ(X3))
| ~ leq(X2,X4)
| ~ leq(X4,X3) )
| ~ spl42_83
| ~ spl42_184 ),
inference(resolution,[],[f1649,f944]) ).
fof(f11058,plain,
( spl42_662
| ~ spl42_85
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1799,f1644,f951,f11056]) ).
fof(f11056,plain,
( spl42_662
<=> ! [X9,X8,X10] :
( gt(X8,X9)
| ~ gt(X8,succ(X10))
| ~ leq(X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_662])]) ).
fof(f1644,plain,
( spl42_183
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).
fof(f1799,plain,
( ! [X10,X8,X9] :
( gt(X8,X9)
| ~ gt(X8,succ(X10))
| ~ leq(X9,X10) )
| ~ spl42_85
| ~ spl42_183 ),
inference(resolution,[],[f1645,f952]) ).
fof(f1645,plain,
( ! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) )
| ~ spl42_183 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f11054,plain,
( spl42_661
| ~ spl42_86
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1707,f1690,f955,f11052]) ).
fof(f11052,plain,
( spl42_661
<=> ! [X11,X12] :
( ~ gt(plus(n4,X11),X12)
| leq(X12,plus(X11,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_661])]) ).
fof(f1690,plain,
( spl42_188
<=> ! [X0] : plus(n4,X0) = succ(plus(X0,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).
fof(f1707,plain,
( ! [X11,X12] :
( ~ gt(plus(n4,X11),X12)
| leq(X12,plus(X11,n3)) )
| ~ spl42_86
| ~ spl42_188 ),
inference(superposition,[],[f956,f1691]) ).
fof(f1691,plain,
( ! [X0] : plus(n4,X0) = succ(plus(X0,n3))
| ~ spl42_188 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f11050,plain,
( spl42_660
| ~ spl42_85
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1706,f1690,f951,f11048]) ).
fof(f11048,plain,
( spl42_660
<=> ! [X9,X10] :
( gt(plus(n4,X9),X10)
| ~ leq(X10,plus(X9,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_660])]) ).
fof(f1706,plain,
( ! [X10,X9] :
( gt(plus(n4,X9),X10)
| ~ leq(X10,plus(X9,n3)) )
| ~ spl42_85
| ~ spl42_188 ),
inference(superposition,[],[f952,f1691]) ).
fof(f11046,plain,
( spl42_659
| ~ spl42_84
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1705,f1690,f947,f11044]) ).
fof(f11044,plain,
( spl42_659
<=> ! [X8,X7] :
( ~ leq(plus(n4,X7),X8)
| gt(X8,plus(X7,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_659])]) ).
fof(f1705,plain,
( ! [X8,X7] :
( ~ leq(plus(n4,X7),X8)
| gt(X8,plus(X7,n3)) )
| ~ spl42_84
| ~ spl42_188 ),
inference(superposition,[],[f948,f1691]) ).
fof(f11042,plain,
( spl42_658
| ~ spl42_83
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1704,f1690,f943,f11040]) ).
fof(f11040,plain,
( spl42_658
<=> ! [X6,X5] :
( leq(X6,plus(n4,X5))
| ~ leq(X6,plus(X5,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_658])]) ).
fof(f1704,plain,
( ! [X6,X5] :
( leq(X6,plus(n4,X5))
| ~ leq(X6,plus(X5,n3)) )
| ~ spl42_83
| ~ spl42_188 ),
inference(superposition,[],[f944,f1691]) ).
fof(f11014,plain,
( spl42_657
| ~ spl42_75
| ~ spl42_462 ),
inference(avatar_split_clause,[],[f6725,f5725,f846,f11011]) ).
fof(f11011,plain,
( spl42_657
<=> lt(tptp_minus_1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_657])]) ).
fof(f5725,plain,
( spl42_462
<=> gt(sK13,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_462])]) ).
fof(f6725,plain,
( lt(tptp_minus_1,sK13)
| ~ spl42_75
| ~ spl42_462 ),
inference(resolution,[],[f5727,f847]) ).
fof(f5727,plain,
( gt(sK13,tptp_minus_1)
| ~ spl42_462 ),
inference(avatar_component_clause,[],[f5725]) ).
fof(f11009,plain,
( spl42_656
| ~ spl42_194
| ~ spl42_490
| ~ spl42_655 ),
inference(avatar_split_clause,[],[f11005,f11002,f5841,f1962,f11007]) ).
fof(f11007,plain,
( spl42_656
<=> ! [X4] : plus(plus(X4,n3),n2) = plus(n5,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_656])]) ).
fof(f5841,plain,
( spl42_490
<=> ! [X1] : plus(X1,n4) = plus(n4,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_490])]) ).
fof(f11002,plain,
( spl42_655
<=> ! [X4] : plus(plus(X4,n3),n2) = succ(plus(n4,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_655])]) ).
fof(f11005,plain,
( ! [X4] : plus(plus(X4,n3),n2) = plus(n5,X4)
| ~ spl42_194
| ~ spl42_490
| ~ spl42_655 ),
inference(forward_demodulation,[],[f11003,f6779]) ).
fof(f6779,plain,
( ! [X1] : plus(n5,X1) = succ(plus(n4,X1))
| ~ spl42_194
| ~ spl42_490 ),
inference(superposition,[],[f1963,f5842]) ).
fof(f5842,plain,
( ! [X1] : plus(X1,n4) = plus(n4,X1)
| ~ spl42_490 ),
inference(avatar_component_clause,[],[f5841]) ).
fof(f11003,plain,
( ! [X4] : plus(plus(X4,n3),n2) = succ(plus(n4,X4))
| ~ spl42_655 ),
inference(avatar_component_clause,[],[f11002]) ).
fof(f11004,plain,
( spl42_655
| ~ spl42_82
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1703,f1690,f939,f11002]) ).
fof(f1703,plain,
( ! [X4] : plus(plus(X4,n3),n2) = succ(plus(n4,X4))
| ~ spl42_82
| ~ spl42_188 ),
inference(superposition,[],[f940,f1691]) ).
fof(f10968,plain,
( spl42_654
| ~ spl42_194
| ~ spl42_490
| ~ spl42_653 ),
inference(avatar_split_clause,[],[f10964,f10961,f5841,f1962,f10966]) ).
fof(f10966,plain,
( spl42_654
<=> ! [X3] : plus(n2,plus(X3,n3)) = plus(n5,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_654])]) ).
fof(f10961,plain,
( spl42_653
<=> ! [X3] : plus(n2,plus(X3,n3)) = succ(plus(n4,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_653])]) ).
fof(f10964,plain,
( ! [X3] : plus(n2,plus(X3,n3)) = plus(n5,X3)
| ~ spl42_194
| ~ spl42_490
| ~ spl42_653 ),
inference(forward_demodulation,[],[f10962,f6779]) ).
fof(f10962,plain,
( ! [X3] : plus(n2,plus(X3,n3)) = succ(plus(n4,X3))
| ~ spl42_653 ),
inference(avatar_component_clause,[],[f10961]) ).
fof(f10963,plain,
( spl42_653
| ~ spl42_81
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1702,f1690,f935,f10961]) ).
fof(f1702,plain,
( ! [X3] : plus(n2,plus(X3,n3)) = succ(plus(n4,X3))
| ~ spl42_81
| ~ spl42_188 ),
inference(superposition,[],[f936,f1691]) ).
fof(f10959,plain,
( spl42_652
| ~ spl42_86
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1672,f1657,f955,f10957]) ).
fof(f10957,plain,
( spl42_652
<=> ! [X11,X10] :
( ~ gt(plus(X10,n4),X11)
| leq(X11,plus(X10,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_652])]) ).
fof(f1657,plain,
( spl42_186
<=> ! [X0] : plus(X0,n4) = succ(plus(X0,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_186])]) ).
fof(f1672,plain,
( ! [X10,X11] :
( ~ gt(plus(X10,n4),X11)
| leq(X11,plus(X10,n3)) )
| ~ spl42_86
| ~ spl42_186 ),
inference(superposition,[],[f956,f1658]) ).
fof(f1658,plain,
( ! [X0] : plus(X0,n4) = succ(plus(X0,n3))
| ~ spl42_186 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f10955,plain,
( spl42_651
| ~ spl42_85
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1671,f1657,f951,f10953]) ).
fof(f10953,plain,
( spl42_651
<=> ! [X9,X8] :
( gt(plus(X8,n4),X9)
| ~ leq(X9,plus(X8,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_651])]) ).
fof(f1671,plain,
( ! [X8,X9] :
( gt(plus(X8,n4),X9)
| ~ leq(X9,plus(X8,n3)) )
| ~ spl42_85
| ~ spl42_186 ),
inference(superposition,[],[f952,f1658]) ).
fof(f10951,plain,
( spl42_650
| ~ spl42_84
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1670,f1657,f947,f10949]) ).
fof(f10949,plain,
( spl42_650
<=> ! [X6,X7] :
( ~ leq(plus(X6,n4),X7)
| gt(X7,plus(X6,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_650])]) ).
fof(f1670,plain,
( ! [X6,X7] :
( ~ leq(plus(X6,n4),X7)
| gt(X7,plus(X6,n3)) )
| ~ spl42_84
| ~ spl42_186 ),
inference(superposition,[],[f948,f1658]) ).
fof(f10947,plain,
( spl42_649
| ~ spl42_83
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1669,f1657,f943,f10945]) ).
fof(f10945,plain,
( spl42_649
<=> ! [X4,X5] :
( leq(X5,plus(X4,n4))
| ~ leq(X5,plus(X4,n3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_649])]) ).
fof(f1669,plain,
( ! [X4,X5] :
( leq(X5,plus(X4,n4))
| ~ leq(X5,plus(X4,n3)) )
| ~ spl42_83
| ~ spl42_186 ),
inference(superposition,[],[f944,f1658]) ).
fof(f10942,plain,
( spl42_648
| ~ spl42_82
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1668,f1657,f939,f10940]) ).
fof(f10940,plain,
( spl42_648
<=> ! [X3] : plus(plus(X3,n3),n2) = succ(plus(X3,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_648])]) ).
fof(f1668,plain,
( ! [X3] : plus(plus(X3,n3),n2) = succ(plus(X3,n4))
| ~ spl42_82
| ~ spl42_186 ),
inference(superposition,[],[f940,f1658]) ).
fof(f10938,plain,
( spl42_529
| ~ spl42_75
| ~ spl42_445 ),
inference(avatar_split_clause,[],[f6443,f5436,f846,f7030]) ).
fof(f7030,plain,
( spl42_529
<=> lt(tptp_float_0_0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_529])]) ).
fof(f5436,plain,
( spl42_445
<=> gt(tptp_minus_1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_445])]) ).
fof(f6443,plain,
( lt(tptp_float_0_0,tptp_minus_1)
| ~ spl42_75
| ~ spl42_445 ),
inference(resolution,[],[f5438,f847]) ).
fof(f5438,plain,
( gt(tptp_minus_1,tptp_float_0_0)
| ~ spl42_445 ),
inference(avatar_component_clause,[],[f5436]) ).
fof(f10906,plain,
( spl42_647
| ~ spl42_192
| ~ spl42_646 ),
inference(avatar_split_clause,[],[f10902,f10899,f1930,f10904]) ).
fof(f10904,plain,
( spl42_647
<=> ! [X2] : plus(n2,plus(X2,n3)) = plus(X2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_647])]) ).
fof(f10899,plain,
( spl42_646
<=> ! [X2] : plus(n2,plus(X2,n3)) = succ(plus(X2,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_646])]) ).
fof(f10902,plain,
( ! [X2] : plus(n2,plus(X2,n3)) = plus(X2,n5)
| ~ spl42_192
| ~ spl42_646 ),
inference(forward_demodulation,[],[f10900,f1931]) ).
fof(f10900,plain,
( ! [X2] : plus(n2,plus(X2,n3)) = succ(plus(X2,n4))
| ~ spl42_646 ),
inference(avatar_component_clause,[],[f10899]) ).
fof(f10901,plain,
( spl42_646
| ~ spl42_81
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1667,f1657,f935,f10899]) ).
fof(f1667,plain,
( ! [X2] : plus(n2,plus(X2,n3)) = succ(plus(X2,n4))
| ~ spl42_81
| ~ spl42_186 ),
inference(superposition,[],[f936,f1658]) ).
fof(f10897,plain,
( spl42_645
| ~ spl42_87
| ~ spl42_150 ),
inference(avatar_split_clause,[],[f1590,f1341,f959,f10895]) ).
fof(f10895,plain,
( spl42_645
<=> ! [X2,X3] :
( ~ leq(tptp_float_0_0,pred(X2))
| gt(X2,uniform_int_rnd(X3,pred(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_645])]) ).
fof(f959,plain,
( spl42_87
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).
fof(f1341,plain,
( spl42_150
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).
fof(f1590,plain,
( ! [X2,X3] :
( ~ leq(tptp_float_0_0,pred(X2))
| gt(X2,uniform_int_rnd(X3,pred(X2))) )
| ~ spl42_87
| ~ spl42_150 ),
inference(resolution,[],[f1342,f960]) ).
fof(f960,plain,
( ! [X0,X1] :
( ~ leq(X0,pred(X1))
| gt(X1,X0) )
| ~ spl42_87 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f1342,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(tptp_float_0_0,X0) )
| ~ spl42_150 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f10893,plain,
( spl42_644
| ~ spl42_86
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1580,f1333,f955,f10891]) ).
fof(f10891,plain,
( spl42_644
<=> ! [X11,X12] :
( ~ gt(plus(n3,X11),X12)
| leq(X12,plus(n2,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_644])]) ).
fof(f1580,plain,
( ! [X11,X12] :
( ~ gt(plus(n3,X11),X12)
| leq(X12,plus(n2,X11)) )
| ~ spl42_86
| ~ spl42_148 ),
inference(superposition,[],[f956,f1334]) ).
fof(f10889,plain,
( spl42_643
| ~ spl42_85
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1579,f1333,f951,f10887]) ).
fof(f10887,plain,
( spl42_643
<=> ! [X9,X10] :
( gt(plus(n3,X9),X10)
| ~ leq(X10,plus(n2,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_643])]) ).
fof(f1579,plain,
( ! [X10,X9] :
( gt(plus(n3,X9),X10)
| ~ leq(X10,plus(n2,X9)) )
| ~ spl42_85
| ~ spl42_148 ),
inference(superposition,[],[f952,f1334]) ).
fof(f10885,plain,
( spl42_642
| ~ spl42_84
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1578,f1333,f947,f10883]) ).
fof(f10883,plain,
( spl42_642
<=> ! [X8,X7] :
( ~ leq(plus(n3,X7),X8)
| gt(X8,plus(n2,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_642])]) ).
fof(f1578,plain,
( ! [X8,X7] :
( ~ leq(plus(n3,X7),X8)
| gt(X8,plus(n2,X7)) )
| ~ spl42_84
| ~ spl42_148 ),
inference(superposition,[],[f948,f1334]) ).
fof(f10881,plain,
( spl42_641
| ~ spl42_83
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1577,f1333,f943,f10879]) ).
fof(f10879,plain,
( spl42_641
<=> ! [X6,X5] :
( leq(X6,plus(n3,X5))
| ~ leq(X6,plus(n2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_641])]) ).
fof(f1577,plain,
( ! [X6,X5] :
( leq(X6,plus(n3,X5))
| ~ leq(X6,plus(n2,X5)) )
| ~ spl42_83
| ~ spl42_148 ),
inference(superposition,[],[f944,f1334]) ).
fof(f10839,plain,
( spl42_640
| ~ spl42_188
| ~ spl42_487
| ~ spl42_638 ),
inference(avatar_split_clause,[],[f10830,f10827,f5829,f1690,f10837]) ).
fof(f10837,plain,
( spl42_640
<=> ! [X4] : plus(plus(n2,X4),n2) = plus(n4,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_640])]) ).
fof(f5829,plain,
( spl42_487
<=> ! [X1] : plus(X1,n3) = plus(n3,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_487])]) ).
fof(f10827,plain,
( spl42_638
<=> ! [X4] : plus(plus(n2,X4),n2) = succ(plus(n3,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_638])]) ).
fof(f10830,plain,
( ! [X4] : plus(plus(n2,X4),n2) = plus(n4,X4)
| ~ spl42_188
| ~ spl42_487
| ~ spl42_638 ),
inference(forward_demodulation,[],[f10828,f6710]) ).
fof(f6710,plain,
( ! [X1] : plus(n4,X1) = succ(plus(n3,X1))
| ~ spl42_188
| ~ spl42_487 ),
inference(superposition,[],[f1691,f5830]) ).
fof(f5830,plain,
( ! [X1] : plus(X1,n3) = plus(n3,X1)
| ~ spl42_487 ),
inference(avatar_component_clause,[],[f5829]) ).
fof(f10828,plain,
( ! [X4] : plus(plus(n2,X4),n2) = succ(plus(n3,X4))
| ~ spl42_638 ),
inference(avatar_component_clause,[],[f10827]) ).
fof(f10835,plain,
( spl42_639
| ~ spl42_77
| ~ spl42_444 ),
inference(avatar_split_clause,[],[f5869,f5221,f854,f10832]) ).
fof(f10832,plain,
( spl42_639
<=> geq(n3,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_639])]) ).
fof(f5221,plain,
( spl42_444
<=> leq(sK13,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_444])]) ).
fof(f5869,plain,
( geq(n3,sK13)
| ~ spl42_77
| ~ spl42_444 ),
inference(resolution,[],[f5223,f855]) ).
fof(f5223,plain,
( leq(sK13,n3)
| ~ spl42_444 ),
inference(avatar_component_clause,[],[f5221]) ).
fof(f10829,plain,
( spl42_638
| ~ spl42_82
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1576,f1333,f939,f10827]) ).
fof(f1576,plain,
( ! [X4] : plus(plus(n2,X4),n2) = succ(plus(n3,X4))
| ~ spl42_82
| ~ spl42_148 ),
inference(superposition,[],[f940,f1334]) ).
fof(f10782,plain,
( spl42_637
| ~ spl42_188
| ~ spl42_487
| ~ spl42_636 ),
inference(avatar_split_clause,[],[f10778,f10775,f5829,f1690,f10780]) ).
fof(f10780,plain,
( spl42_637
<=> ! [X3] : plus(n2,plus(n2,X3)) = plus(n4,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_637])]) ).
fof(f10775,plain,
( spl42_636
<=> ! [X3] : plus(n2,plus(n2,X3)) = succ(plus(n3,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_636])]) ).
fof(f10778,plain,
( ! [X3] : plus(n2,plus(n2,X3)) = plus(n4,X3)
| ~ spl42_188
| ~ spl42_487
| ~ spl42_636 ),
inference(forward_demodulation,[],[f10776,f6710]) ).
fof(f10776,plain,
( ! [X3] : plus(n2,plus(n2,X3)) = succ(plus(n3,X3))
| ~ spl42_636 ),
inference(avatar_component_clause,[],[f10775]) ).
fof(f10777,plain,
( spl42_636
| ~ spl42_81
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1575,f1333,f935,f10775]) ).
fof(f1575,plain,
( ! [X3] : plus(n2,plus(n2,X3)) = succ(plus(n3,X3))
| ~ spl42_81
| ~ spl42_148 ),
inference(superposition,[],[f936,f1334]) ).
fof(f10773,plain,
( spl42_635
| ~ spl42_86
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1562,f1329,f955,f10771]) ).
fof(f10771,plain,
( spl42_635
<=> ! [X11,X10] :
( ~ gt(plus(X10,n3),X11)
| leq(X11,plus(n2,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_635])]) ).
fof(f1562,plain,
( ! [X10,X11] :
( ~ gt(plus(X10,n3),X11)
| leq(X11,plus(n2,X10)) )
| ~ spl42_86
| ~ spl42_147 ),
inference(superposition,[],[f956,f1330]) ).
fof(f10769,plain,
( spl42_634
| ~ spl42_85
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1561,f1329,f951,f10767]) ).
fof(f10767,plain,
( spl42_634
<=> ! [X9,X8] :
( gt(plus(X8,n3),X9)
| ~ leq(X9,plus(n2,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_634])]) ).
fof(f1561,plain,
( ! [X8,X9] :
( gt(plus(X8,n3),X9)
| ~ leq(X9,plus(n2,X8)) )
| ~ spl42_85
| ~ spl42_147 ),
inference(superposition,[],[f952,f1330]) ).
fof(f10765,plain,
( spl42_633
| ~ spl42_84
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1560,f1329,f947,f10763]) ).
fof(f10763,plain,
( spl42_633
<=> ! [X6,X7] :
( ~ leq(plus(X6,n3),X7)
| gt(X7,plus(n2,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_633])]) ).
fof(f1560,plain,
( ! [X6,X7] :
( ~ leq(plus(X6,n3),X7)
| gt(X7,plus(n2,X6)) )
| ~ spl42_84
| ~ spl42_147 ),
inference(superposition,[],[f948,f1330]) ).
fof(f10761,plain,
( spl42_632
| ~ spl42_83
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1559,f1329,f943,f10759]) ).
fof(f10759,plain,
( spl42_632
<=> ! [X4,X5] :
( leq(X5,plus(X4,n3))
| ~ leq(X5,plus(n2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_632])]) ).
fof(f1559,plain,
( ! [X4,X5] :
( leq(X5,plus(X4,n3))
| ~ leq(X5,plus(n2,X4)) )
| ~ spl42_83
| ~ spl42_147 ),
inference(superposition,[],[f944,f1330]) ).
fof(f10756,plain,
( spl42_631
| ~ spl42_82
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1558,f1329,f939,f10754]) ).
fof(f10754,plain,
( spl42_631
<=> ! [X3] : plus(plus(n2,X3),n2) = succ(plus(X3,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_631])]) ).
fof(f1558,plain,
( ! [X3] : plus(plus(n2,X3),n2) = succ(plus(X3,n3))
| ~ spl42_82
| ~ spl42_147 ),
inference(superposition,[],[f940,f1330]) ).
fof(f10751,plain,
( spl42_630
| ~ spl42_81
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1557,f1329,f935,f10749]) ).
fof(f10749,plain,
( spl42_630
<=> ! [X2] : plus(n2,plus(n2,X2)) = succ(plus(X2,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_630])]) ).
fof(f1557,plain,
( ! [X2] : plus(n2,plus(n2,X2)) = succ(plus(X2,n3))
| ~ spl42_81
| ~ spl42_147 ),
inference(superposition,[],[f936,f1330]) ).
fof(f10747,plain,
( spl42_629
| ~ spl42_395
| ~ spl42_444 ),
inference(avatar_split_clause,[],[f5862,f5221,f4476,f10744]) ).
fof(f10744,plain,
( spl42_629
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_629])]) ).
fof(f4476,plain,
( spl42_395
<=> ! [X10] :
( leq(X10,n4)
| ~ leq(X10,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_395])]) ).
fof(f5862,plain,
( leq(sK13,n4)
| ~ spl42_395
| ~ spl42_444 ),
inference(resolution,[],[f5223,f4477]) ).
fof(f4477,plain,
( ! [X10] :
( ~ leq(X10,n3)
| leq(X10,n4) )
| ~ spl42_395 ),
inference(avatar_component_clause,[],[f4476]) ).
fof(f10742,plain,
( spl42_628
| ~ spl42_87
| ~ spl42_146 ),
inference(avatar_split_clause,[],[f1553,f1324,f959,f10740]) ).
fof(f10740,plain,
( spl42_628
<=> ! [X2,X3] :
( ~ sP10(X2,pred(X3))
| gt(X3,sK41(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_628])]) ).
fof(f1324,plain,
( spl42_146
<=> ! [X0,X1] :
( leq(sK41(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).
fof(f1553,plain,
( ! [X2,X3] :
( ~ sP10(X2,pred(X3))
| gt(X3,sK41(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_146 ),
inference(resolution,[],[f1325,f960]) ).
fof(f1325,plain,
( ! [X0,X1] :
( leq(sK41(X0,X1),X1)
| ~ sP10(X0,X1) )
| ~ spl42_146 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f10738,plain,
( spl42_627
| ~ spl42_87
| ~ spl42_144 ),
inference(avatar_split_clause,[],[f1547,f1315,f959,f10736]) ).
fof(f10736,plain,
( spl42_627
<=> ! [X2,X3] :
( ~ sP10(X2,pred(X3))
| gt(X3,sK40(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_627])]) ).
fof(f1315,plain,
( spl42_144
<=> ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).
fof(f1547,plain,
( ! [X2,X3] :
( ~ sP10(X2,pred(X3))
| gt(X3,sK40(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_144 ),
inference(resolution,[],[f1316,f960]) ).
fof(f1316,plain,
( ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) )
| ~ spl42_144 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f10734,plain,
( spl42_626
| ~ spl42_87
| ~ spl42_142 ),
inference(avatar_split_clause,[],[f1541,f1306,f959,f10732]) ).
fof(f10732,plain,
( spl42_626
<=> ! [X2,X3] :
( ~ sP11(X2,pred(X3))
| gt(X3,sK39(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_626])]) ).
fof(f1306,plain,
( spl42_142
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).
fof(f1541,plain,
( ! [X2,X3] :
( ~ sP11(X2,pred(X3))
| gt(X3,sK39(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_142 ),
inference(resolution,[],[f1307,f960]) ).
fof(f1307,plain,
( ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP11(X0,X1) )
| ~ spl42_142 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f10730,plain,
( spl42_625
| ~ spl42_87
| ~ spl42_140 ),
inference(avatar_split_clause,[],[f1530,f1297,f959,f10728]) ).
fof(f10728,plain,
( spl42_625
<=> ! [X2,X3] :
( ~ sP11(X2,pred(X3))
| gt(X3,sK38(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_625])]) ).
fof(f1297,plain,
( spl42_140
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_140])]) ).
fof(f1530,plain,
( ! [X2,X3] :
( ~ sP11(X2,pred(X3))
| gt(X3,sK38(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_140 ),
inference(resolution,[],[f1298,f960]) ).
fof(f1298,plain,
( ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) )
| ~ spl42_140 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f10726,plain,
( spl42_624
| ~ spl42_87
| ~ spl42_138 ),
inference(avatar_split_clause,[],[f1524,f1288,f959,f10724]) ).
fof(f10724,plain,
( spl42_624
<=> ! [X2,X3] :
( ~ sP12(X2,pred(X3))
| gt(X3,sK37(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_624])]) ).
fof(f1288,plain,
( spl42_138
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_138])]) ).
fof(f1524,plain,
( ! [X2,X3] :
( ~ sP12(X2,pred(X3))
| gt(X3,sK37(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_138 ),
inference(resolution,[],[f1289,f960]) ).
fof(f1289,plain,
( ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP12(X0,X1) )
| ~ spl42_138 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f10722,plain,
( spl42_623
| ~ spl42_87
| ~ spl42_136 ),
inference(avatar_split_clause,[],[f1518,f1278,f959,f10720]) ).
fof(f10720,plain,
( spl42_623
<=> ! [X2,X3] :
( ~ sP12(X2,pred(X3))
| gt(X3,sK36(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_623])]) ).
fof(f1278,plain,
( spl42_136
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_136])]) ).
fof(f1518,plain,
( ! [X2,X3] :
( ~ sP12(X2,pred(X3))
| gt(X3,sK36(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_136 ),
inference(resolution,[],[f1279,f960]) ).
fof(f1279,plain,
( ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) )
| ~ spl42_136 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f10718,plain,
( spl42_622
| ~ spl42_87
| ~ spl42_134 ),
inference(avatar_split_clause,[],[f1512,f1269,f959,f10716]) ).
fof(f10716,plain,
( spl42_622
<=> ! [X2,X3] :
( ~ sP8(X2,pred(X3))
| gt(X3,sK33(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_622])]) ).
fof(f1269,plain,
( spl42_134
<=> ! [X0,X1] :
( leq(sK33(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_134])]) ).
fof(f1512,plain,
( ! [X2,X3] :
( ~ sP8(X2,pred(X3))
| gt(X3,sK33(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_134 ),
inference(resolution,[],[f1270,f960]) ).
fof(f1270,plain,
( ! [X0,X1] :
( leq(sK33(X0,X1),X1)
| ~ sP8(X0,X1) )
| ~ spl42_134 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f10714,plain,
( spl42_621
| ~ spl42_87
| ~ spl42_132 ),
inference(avatar_split_clause,[],[f1506,f1260,f959,f10712]) ).
fof(f10712,plain,
( spl42_621
<=> ! [X2,X3] :
( ~ sP8(X2,pred(X3))
| gt(X3,sK32(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_621])]) ).
fof(f1260,plain,
( spl42_132
<=> ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_132])]) ).
fof(f1506,plain,
( ! [X2,X3] :
( ~ sP8(X2,pred(X3))
| gt(X3,sK32(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_132 ),
inference(resolution,[],[f1261,f960]) ).
fof(f1261,plain,
( ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) )
| ~ spl42_132 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f10710,plain,
( spl42_620
| ~ spl42_87
| ~ spl42_130 ),
inference(avatar_split_clause,[],[f1495,f1251,f959,f10708]) ).
fof(f10708,plain,
( spl42_620
<=> ! [X2,X3] :
( ~ sP7(X2,pred(X3))
| gt(X3,sK30(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_620])]) ).
fof(f1251,plain,
( spl42_130
<=> ! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_130])]) ).
fof(f1495,plain,
( ! [X2,X3] :
( ~ sP7(X2,pred(X3))
| gt(X3,sK30(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_130 ),
inference(resolution,[],[f1252,f960]) ).
fof(f1252,plain,
( ! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP7(X0,X1) )
| ~ spl42_130 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f10706,plain,
( spl42_619
| ~ spl42_87
| ~ spl42_128 ),
inference(avatar_split_clause,[],[f1489,f1242,f959,f10704]) ).
fof(f10704,plain,
( spl42_619
<=> ! [X2,X3] :
( ~ sP7(X2,pred(X3))
| gt(X3,sK29(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_619])]) ).
fof(f1242,plain,
( spl42_128
<=> ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_128])]) ).
fof(f1489,plain,
( ! [X2,X3] :
( ~ sP7(X2,pred(X3))
| gt(X3,sK29(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_128 ),
inference(resolution,[],[f1243,f960]) ).
fof(f1243,plain,
( ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) )
| ~ spl42_128 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f10702,plain,
( spl42_618
| ~ spl42_408
| ~ spl42_444 ),
inference(avatar_split_clause,[],[f5861,f5221,f4529,f10699]) ).
fof(f10699,plain,
( spl42_618
<=> gt(n4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_618])]) ).
fof(f4529,plain,
( spl42_408
<=> ! [X10] :
( gt(n4,X10)
| ~ leq(X10,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_408])]) ).
fof(f5861,plain,
( gt(n4,sK13)
| ~ spl42_408
| ~ spl42_444 ),
inference(resolution,[],[f5223,f4530]) ).
fof(f4530,plain,
( ! [X10] :
( ~ leq(X10,n3)
| gt(n4,X10) )
| ~ spl42_408 ),
inference(avatar_component_clause,[],[f4529]) ).
fof(f10697,plain,
( spl42_617
| ~ spl42_87
| ~ spl42_125 ),
inference(avatar_split_clause,[],[f1483,f1228,f959,f10695]) ).
fof(f10695,plain,
( spl42_617
<=> ! [X2,X3] :
( ~ sP5(X2,pred(X3))
| gt(X3,sK28(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_617])]) ).
fof(f1228,plain,
( spl42_125
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_125])]) ).
fof(f1483,plain,
( ! [X2,X3] :
( ~ sP5(X2,pred(X3))
| gt(X3,sK28(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_125 ),
inference(resolution,[],[f1229,f960]) ).
fof(f1229,plain,
( ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP5(X0,X1) )
| ~ spl42_125 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f10693,plain,
( spl42_616
| ~ spl42_87
| ~ spl42_123 ),
inference(avatar_split_clause,[],[f1477,f1219,f959,f10691]) ).
fof(f10691,plain,
( spl42_616
<=> ! [X2,X3] :
( ~ sP5(X2,pred(X3))
| gt(X3,sK27(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_616])]) ).
fof(f1219,plain,
( spl42_123
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_123])]) ).
fof(f1477,plain,
( ! [X2,X3] :
( ~ sP5(X2,pred(X3))
| gt(X3,sK27(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_123 ),
inference(resolution,[],[f1220,f960]) ).
fof(f1220,plain,
( ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) )
| ~ spl42_123 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f10689,plain,
( spl42_615
| ~ spl42_87
| ~ spl42_121 ),
inference(avatar_split_clause,[],[f1471,f1210,f959,f10687]) ).
fof(f10687,plain,
( spl42_615
<=> ! [X2,X3] :
( ~ sP6(X2,pred(X3))
| gt(X3,sK26(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_615])]) ).
fof(f1210,plain,
( spl42_121
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_121])]) ).
fof(f1471,plain,
( ! [X2,X3] :
( ~ sP6(X2,pred(X3))
| gt(X3,sK26(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_121 ),
inference(resolution,[],[f1211,f960]) ).
fof(f1211,plain,
( ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP6(X0,X1) )
| ~ spl42_121 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f10685,plain,
( spl42_614
| ~ spl42_87
| ~ spl42_119 ),
inference(avatar_split_clause,[],[f1464,f1201,f959,f10683]) ).
fof(f10683,plain,
( spl42_614
<=> ! [X2,X3] :
( ~ sP6(X2,pred(X3))
| gt(X3,sK25(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_614])]) ).
fof(f1201,plain,
( spl42_119
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_119])]) ).
fof(f1464,plain,
( ! [X2,X3] :
( ~ sP6(X2,pred(X3))
| gt(X3,sK25(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_119 ),
inference(resolution,[],[f1202,f960]) ).
fof(f1202,plain,
( ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) )
| ~ spl42_119 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f10681,plain,
( spl42_613
| ~ spl42_87
| ~ spl42_117 ),
inference(avatar_split_clause,[],[f1458,f1192,f959,f10679]) ).
fof(f10679,plain,
( spl42_613
<=> ! [X2,X3] :
( ~ sP3(X2,pred(X3))
| gt(X3,sK24(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_613])]) ).
fof(f1192,plain,
( spl42_117
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_117])]) ).
fof(f1458,plain,
( ! [X2,X3] :
( ~ sP3(X2,pred(X3))
| gt(X3,sK24(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_117 ),
inference(resolution,[],[f1193,f960]) ).
fof(f1193,plain,
( ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP3(X0,X1) )
| ~ spl42_117 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f10677,plain,
( spl42_612
| ~ spl42_87
| ~ spl42_114 ),
inference(avatar_split_clause,[],[f1452,f1178,f959,f10675]) ).
fof(f10675,plain,
( spl42_612
<=> ! [X2,X3] :
( ~ sP3(X2,pred(X3))
| gt(X3,sK23(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_612])]) ).
fof(f1178,plain,
( spl42_114
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_114])]) ).
fof(f1452,plain,
( ! [X2,X3] :
( ~ sP3(X2,pred(X3))
| gt(X3,sK23(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_114 ),
inference(resolution,[],[f1179,f960]) ).
fof(f1179,plain,
( ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) )
| ~ spl42_114 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f10673,plain,
( spl42_611
| ~ spl42_87
| ~ spl42_112 ),
inference(avatar_split_clause,[],[f1446,f1169,f959,f10671]) ).
fof(f10671,plain,
( spl42_611
<=> ! [X2,X3] :
( ~ sP4(X2,pred(X3))
| gt(X3,sK22(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_611])]) ).
fof(f1169,plain,
( spl42_112
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_112])]) ).
fof(f1446,plain,
( ! [X2,X3] :
( ~ sP4(X2,pred(X3))
| gt(X3,sK22(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_112 ),
inference(resolution,[],[f1170,f960]) ).
fof(f1170,plain,
( ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP4(X0,X1) )
| ~ spl42_112 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f10669,plain,
( spl42_610
| ~ spl42_87
| ~ spl42_110 ),
inference(avatar_split_clause,[],[f1440,f1160,f959,f10667]) ).
fof(f10667,plain,
( spl42_610
<=> ! [X2,X3] :
( ~ sP4(X2,pred(X3))
| gt(X3,sK21(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_610])]) ).
fof(f1160,plain,
( spl42_110
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_110])]) ).
fof(f1440,plain,
( ! [X2,X3] :
( ~ sP4(X2,pred(X3))
| gt(X3,sK21(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_110 ),
inference(resolution,[],[f1161,f960]) ).
fof(f1161,plain,
( ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) )
| ~ spl42_110 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f10665,plain,
( spl42_609
| ~ spl42_81
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1423,f1147,f935,f10663]) ).
fof(f10663,plain,
( spl42_609
<=> ! [X4,X5] :
( leq(succ(X5),plus(n2,X4))
| ~ leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_609])]) ).
fof(f1423,plain,
( ! [X4,X5] :
( leq(succ(X5),plus(n2,X4))
| ~ leq(X5,succ(X4)) )
| ~ spl42_81
| ~ spl42_107 ),
inference(superposition,[],[f1148,f936]) ).
fof(f10661,plain,
( spl42_608
| ~ spl42_82
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1422,f1147,f939,f10659]) ).
fof(f10659,plain,
( spl42_608
<=> ! [X2,X3] :
( leq(succ(X3),plus(X2,n2))
| ~ leq(X3,succ(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_608])]) ).
fof(f1422,plain,
( ! [X2,X3] :
( leq(succ(X3),plus(X2,n2))
| ~ leq(X3,succ(X2)) )
| ~ spl42_82
| ~ spl42_107 ),
inference(superposition,[],[f1148,f940]) ).
fof(f10657,plain,
( spl42_607
| ~ spl42_81
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1414,f1147,f935,f10655]) ).
fof(f10655,plain,
( spl42_607
<=> ! [X4,X5] :
( leq(plus(n2,X4),succ(X5))
| ~ leq(succ(X4),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_607])]) ).
fof(f1414,plain,
( ! [X4,X5] :
( leq(plus(n2,X4),succ(X5))
| ~ leq(succ(X4),X5) )
| ~ spl42_81
| ~ spl42_107 ),
inference(superposition,[],[f1148,f936]) ).
fof(f10653,plain,
( spl42_606
| ~ spl42_82
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1413,f1147,f939,f10651]) ).
fof(f10651,plain,
( spl42_606
<=> ! [X2,X3] :
( leq(plus(X2,n2),succ(X3))
| ~ leq(succ(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_606])]) ).
fof(f1413,plain,
( ! [X2,X3] :
( leq(plus(X2,n2),succ(X3))
| ~ leq(succ(X2),X3) )
| ~ spl42_82
| ~ spl42_107 ),
inference(superposition,[],[f1148,f940]) ).
fof(f10649,plain,
( spl42_605
| ~ spl42_81
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1398,f1143,f935,f10647]) ).
fof(f10647,plain,
( spl42_605
<=> ! [X4,X5] :
( ~ leq(succ(X5),plus(n2,X4))
| leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_605])]) ).
fof(f1398,plain,
( ! [X4,X5] :
( ~ leq(succ(X5),plus(n2,X4))
| leq(X5,succ(X4)) )
| ~ spl42_81
| ~ spl42_106 ),
inference(superposition,[],[f1144,f936]) ).
fof(f10645,plain,
( spl42_604
| ~ spl42_82
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1397,f1143,f939,f10643]) ).
fof(f10643,plain,
( spl42_604
<=> ! [X2,X3] :
( ~ leq(succ(X3),plus(X2,n2))
| leq(X3,succ(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_604])]) ).
fof(f1397,plain,
( ! [X2,X3] :
( ~ leq(succ(X3),plus(X2,n2))
| leq(X3,succ(X2)) )
| ~ spl42_82
| ~ spl42_106 ),
inference(superposition,[],[f1144,f940]) ).
fof(f10641,plain,
( spl42_603
| ~ spl42_81
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1389,f1143,f935,f10639]) ).
fof(f10639,plain,
( spl42_603
<=> ! [X4,X5] :
( ~ leq(plus(n2,X4),succ(X5))
| leq(succ(X4),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_603])]) ).
fof(f1389,plain,
( ! [X4,X5] :
( ~ leq(plus(n2,X4),succ(X5))
| leq(succ(X4),X5) )
| ~ spl42_81
| ~ spl42_106 ),
inference(superposition,[],[f1144,f936]) ).
fof(f10637,plain,
( spl42_602
| ~ spl42_82
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1388,f1143,f939,f10635]) ).
fof(f10635,plain,
( spl42_602
<=> ! [X2,X3] :
( ~ leq(plus(X2,n2),succ(X3))
| leq(succ(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_602])]) ).
fof(f1388,plain,
( ! [X2,X3] :
( ~ leq(plus(X2,n2),succ(X3))
| leq(succ(X2),X3) )
| ~ spl42_82
| ~ spl42_106 ),
inference(superposition,[],[f1144,f940]) ).
fof(f10633,plain,
( spl42_601
| ~ spl42_87
| ~ spl42_105 ),
inference(avatar_split_clause,[],[f1384,f1139,f959,f10631]) ).
fof(f10631,plain,
( spl42_601
<=> ! [X2,X3] :
( ~ sP2(X2,pred(X3))
| gt(X3,sK20(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_601])]) ).
fof(f1139,plain,
( spl42_105
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_105])]) ).
fof(f1384,plain,
( ! [X2,X3] :
( ~ sP2(X2,pred(X3))
| gt(X3,sK20(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_105 ),
inference(resolution,[],[f1140,f960]) ).
fof(f1140,plain,
( ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP2(X0,X1) )
| ~ spl42_105 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f10629,plain,
( spl42_600
| ~ spl42_87
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f1378,f1125,f959,f10627]) ).
fof(f10627,plain,
( spl42_600
<=> ! [X2,X3] :
( ~ sP2(X2,pred(X3))
| gt(X3,sK19(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_600])]) ).
fof(f1125,plain,
( spl42_102
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).
fof(f1378,plain,
( ! [X2,X3] :
( ~ sP2(X2,pred(X3))
| gt(X3,sK19(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_102 ),
inference(resolution,[],[f1126,f960]) ).
fof(f1126,plain,
( ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) )
| ~ spl42_102 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f10625,plain,
( spl42_599
| ~ spl42_87
| ~ spl42_100 ),
inference(avatar_split_clause,[],[f1372,f1116,f959,f10623]) ).
fof(f10623,plain,
( spl42_599
<=> ! [X2,X3] :
( ~ sP1(X2,pred(X3))
| gt(X3,sK18(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_599])]) ).
fof(f1116,plain,
( spl42_100
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_100])]) ).
fof(f1372,plain,
( ! [X2,X3] :
( ~ sP1(X2,pred(X3))
| gt(X3,sK18(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_100 ),
inference(resolution,[],[f1117,f960]) ).
fof(f1117,plain,
( ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP1(X0,X1) )
| ~ spl42_100 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f10621,plain,
( spl42_598
| ~ spl42_87
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f1366,f1107,f959,f10619]) ).
fof(f10619,plain,
( spl42_598
<=> ! [X2,X3] :
( ~ sP1(X2,pred(X3))
| gt(X3,sK17(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_598])]) ).
fof(f1107,plain,
( spl42_98
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).
fof(f1366,plain,
( ! [X2,X3] :
( ~ sP1(X2,pred(X3))
| gt(X3,sK17(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_98 ),
inference(resolution,[],[f1108,f960]) ).
fof(f1108,plain,
( ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) )
| ~ spl42_98 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f10617,plain,
( spl42_597
| ~ spl42_87
| ~ spl42_96 ),
inference(avatar_split_clause,[],[f1359,f1098,f959,f10615]) ).
fof(f10615,plain,
( spl42_597
<=> ! [X2,X3] :
( ~ sP0(X2,pred(X3))
| gt(X3,sK16(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_597])]) ).
fof(f1098,plain,
( spl42_96
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).
fof(f1359,plain,
( ! [X2,X3] :
( ~ sP0(X2,pred(X3))
| gt(X3,sK16(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_96 ),
inference(resolution,[],[f1099,f960]) ).
fof(f1099,plain,
( ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP0(X0,X1) )
| ~ spl42_96 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f10613,plain,
( spl42_596
| ~ spl42_87
| ~ spl42_94 ),
inference(avatar_split_clause,[],[f1353,f1089,f959,f10611]) ).
fof(f10611,plain,
( spl42_596
<=> ! [X2,X3] :
( ~ sP0(X2,pred(X3))
| gt(X3,sK15(X2,pred(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_596])]) ).
fof(f1089,plain,
( spl42_94
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f1353,plain,
( ! [X2,X3] :
( ~ sP0(X2,pred(X3))
| gt(X3,sK15(X2,pred(X3))) )
| ~ spl42_87
| ~ spl42_94 ),
inference(resolution,[],[f1090,f960]) ).
fof(f1090,plain,
( ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) )
| ~ spl42_94 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f10039,plain,
( spl42_595
| ~ spl42_148
| ~ spl42_451
| ~ spl42_576 ),
inference(avatar_split_clause,[],[f8810,f8807,f5680,f1333,f10037]) ).
fof(f10037,plain,
( spl42_595
<=> ! [X1] : plus(succ(X1),n2) = plus(n3,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_595])]) ).
fof(f5680,plain,
( spl42_451
<=> ! [X1] : plus(n2,X1) = plus(X1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_451])]) ).
fof(f8807,plain,
( spl42_576
<=> ! [X1] : plus(succ(X1),n2) = succ(plus(X1,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_576])]) ).
fof(f8810,plain,
( ! [X1] : plus(succ(X1),n2) = plus(n3,X1)
| ~ spl42_148
| ~ spl42_451
| ~ spl42_576 ),
inference(forward_demodulation,[],[f8808,f5943]) ).
fof(f5943,plain,
( ! [X2] : plus(n3,X2) = succ(plus(X2,n2))
| ~ spl42_148
| ~ spl42_451 ),
inference(superposition,[],[f1334,f5681]) ).
fof(f5681,plain,
( ! [X1] : plus(n2,X1) = plus(X1,n2)
| ~ spl42_451 ),
inference(avatar_component_clause,[],[f5680]) ).
fof(f8808,plain,
( ! [X1] : plus(succ(X1),n2) = succ(plus(X1,n2))
| ~ spl42_576 ),
inference(avatar_component_clause,[],[f8807]) ).
fof(f9910,plain,
( spl42_571
| ~ spl42_65
| ~ spl42_70
| ~ spl42_558
| ~ spl42_572 ),
inference(avatar_split_clause,[],[f9683,f7643,f7365,f825,f780,f7572]) ).
fof(f7572,plain,
( spl42_571
<=> ! [X1] : plus(X1,n4) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_571])]) ).
fof(f780,plain,
( spl42_65
<=> ! [X0] : pred(succ(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_65])]) ).
fof(f825,plain,
( spl42_70
<=> ! [X0] : succ(X0) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_70])]) ).
fof(f7365,plain,
( spl42_558
<=> n1 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_558])]) ).
fof(f7643,plain,
( spl42_572
<=> ! [X2] : plus(X2,n4) = pred(plus(n5,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_572])]) ).
fof(f9683,plain,
( ! [X2] : plus(X2,n4) = X2
| ~ spl42_65
| ~ spl42_70
| ~ spl42_558
| ~ spl42_572 ),
inference(forward_demodulation,[],[f9682,f781]) ).
fof(f781,plain,
( ! [X0] : pred(succ(X0)) = X0
| ~ spl42_65 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f9682,plain,
( ! [X2] : plus(X2,n4) = pred(succ(X2))
| ~ spl42_70
| ~ spl42_558
| ~ spl42_572 ),
inference(forward_demodulation,[],[f7644,f8578]) ).
fof(f8578,plain,
( ! [X1] : succ(X1) = plus(n5,X1)
| ~ spl42_70
| ~ spl42_558 ),
inference(superposition,[],[f826,f7367]) ).
fof(f7367,plain,
( n1 = n5
| ~ spl42_558 ),
inference(avatar_component_clause,[],[f7365]) ).
fof(f826,plain,
( ! [X0] : succ(X0) = plus(n1,X0)
| ~ spl42_70 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f7644,plain,
( ! [X2] : plus(X2,n4) = pred(plus(n5,X2))
| ~ spl42_572 ),
inference(avatar_component_clause,[],[f7643]) ).
fof(f9684,plain,
( spl42_571
| ~ spl42_65
| ~ spl42_147
| ~ spl42_192
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_569
| ~ spl42_570 ),
inference(avatar_split_clause,[],[f9583,f7566,f7560,f7261,f5841,f5672,f1930,f1329,f780,f7572]) ).
fof(f5672,plain,
( spl42_449
<=> ! [X0] : succ(X0) = pred(plus(n2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_449])]) ).
fof(f7261,plain,
( spl42_537
<=> n2 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_537])]) ).
fof(f7560,plain,
( spl42_569
<=> ! [X2] : plus(X2,n3) = pred(plus(n4,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_569])]) ).
fof(f7566,plain,
( spl42_570
<=> ! [X1] : plus(X1,n4) = pred(plus(X1,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_570])]) ).
fof(f9583,plain,
( ! [X1] : plus(X1,n4) = X1
| ~ spl42_65
| ~ spl42_147
| ~ spl42_192
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_569
| ~ spl42_570 ),
inference(forward_demodulation,[],[f9582,f781]) ).
fof(f9582,plain,
( ! [X1] : plus(X1,n4) = pred(succ(X1))
| ~ spl42_147
| ~ spl42_192
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_569
| ~ spl42_570 ),
inference(forward_demodulation,[],[f7567,f9557]) ).
fof(f9557,plain,
( ! [X0] : succ(X0) = plus(X0,n5)
| ~ spl42_147
| ~ spl42_192
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_569 ),
inference(forward_demodulation,[],[f7479,f7563]) ).
fof(f7563,plain,
( ! [X2] : succ(X2) = plus(X2,n3)
| ~ spl42_449
| ~ spl42_537
| ~ spl42_569 ),
inference(forward_demodulation,[],[f7561,f7466]) ).
fof(f7466,plain,
( ! [X19] : succ(X19) = pred(plus(n4,X19))
| ~ spl42_449
| ~ spl42_537 ),
inference(superposition,[],[f5673,f7263]) ).
fof(f7263,plain,
( n2 = n4
| ~ spl42_537 ),
inference(avatar_component_clause,[],[f7261]) ).
fof(f5673,plain,
( ! [X0] : succ(X0) = pred(plus(n2,X0))
| ~ spl42_449 ),
inference(avatar_component_clause,[],[f5672]) ).
fof(f7561,plain,
( ! [X2] : plus(X2,n3) = pred(plus(n4,X2))
| ~ spl42_569 ),
inference(avatar_component_clause,[],[f7560]) ).
fof(f7479,plain,
( ! [X0] : plus(X0,n3) = plus(X0,n5)
| ~ spl42_147
| ~ spl42_192
| ~ spl42_490
| ~ spl42_537 ),
inference(forward_demodulation,[],[f7424,f6780]) ).
fof(f6780,plain,
( ! [X2] : plus(X2,n5) = succ(plus(n4,X2))
| ~ spl42_192
| ~ spl42_490 ),
inference(superposition,[],[f1931,f5842]) ).
fof(f7424,plain,
( ! [X0] : plus(X0,n3) = succ(plus(n4,X0))
| ~ spl42_147
| ~ spl42_537 ),
inference(superposition,[],[f1330,f7263]) ).
fof(f7567,plain,
( ! [X1] : plus(X1,n4) = pred(plus(X1,n5))
| ~ spl42_570 ),
inference(avatar_component_clause,[],[f7566]) ).
fof(f9427,plain,
( ~ spl42_56
| ~ spl42_587 ),
inference(avatar_contradiction_clause,[],[f9393]) ).
fof(f9393,plain,
( $false
| ~ spl42_56
| ~ spl42_587 ),
inference(resolution,[],[f9118,f733]) ).
fof(f9118,plain,
( ! [X2] : gt(X2,X2)
| ~ spl42_587 ),
inference(avatar_component_clause,[],[f9117]) ).
fof(f9117,plain,
( spl42_587
<=> ! [X2] : gt(X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_587])]) ).
fof(f9294,plain,
( spl42_594
| ~ spl42_73
| ~ spl42_181 ),
inference(avatar_split_clause,[],[f1725,f1636,f838,f9292]) ).
fof(f9292,plain,
( spl42_594
<=> ! [X4,X3] :
( gt(X4,X3)
| X3 = X4
| leq(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_594])]) ).
fof(f1636,plain,
( spl42_181
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).
fof(f1725,plain,
( ! [X3,X4] :
( gt(X4,X3)
| X3 = X4
| leq(X4,X3) )
| ~ spl42_73
| ~ spl42_181 ),
inference(resolution,[],[f1637,f839]) ).
fof(f1637,plain,
( ! [X0,X1] :
( gt(X1,X0)
| gt(X0,X1)
| X0 = X1 )
| ~ spl42_181 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f9290,plain,
( spl42_593
| ~ spl42_75
| ~ spl42_181 ),
inference(avatar_split_clause,[],[f1724,f1636,f846,f9288]) ).
fof(f9288,plain,
( spl42_593
<=> ! [X2,X1] :
( gt(X2,X1)
| X1 = X2
| lt(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_593])]) ).
fof(f1724,plain,
( ! [X2,X1] :
( gt(X2,X1)
| X1 = X2
| lt(X2,X1) )
| ~ spl42_75
| ~ spl42_181 ),
inference(resolution,[],[f1637,f847]) ).
fof(f9286,plain,
( spl42_592
| ~ spl42_88
| ~ spl42_151 ),
inference(avatar_split_clause,[],[f1597,f1345,f963,f9284]) ).
fof(f9284,plain,
( spl42_592
<=> ! [X2,X3] :
( leq(tptp_float_0_0,X2)
| ~ gt(X3,minus(pred(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_592])]) ).
fof(f1345,plain,
( spl42_151
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_151])]) ).
fof(f1597,plain,
( ! [X2,X3] :
( leq(tptp_float_0_0,X2)
| ~ gt(X3,minus(pred(X3),X2)) )
| ~ spl42_88
| ~ spl42_151 ),
inference(resolution,[],[f1346,f964]) ).
fof(f1346,plain,
( ! [X0,X1] :
( ~ leq(minus(X0,X1),X0)
| leq(tptp_float_0_0,X1) )
| ~ spl42_151 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f9282,plain,
( spl42_591
| ~ spl42_83
| ~ spl42_151 ),
inference(avatar_split_clause,[],[f1596,f1345,f943,f9280]) ).
fof(f9280,plain,
( spl42_591
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X0)
| ~ leq(minus(succ(X1),X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_591])]) ).
fof(f1596,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X0)
| ~ leq(minus(succ(X1),X0),X1) )
| ~ spl42_83
| ~ spl42_151 ),
inference(resolution,[],[f1346,f944]) ).
fof(f9134,plain,
( spl42_590
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_589 ),
inference(avatar_split_clause,[],[f9130,f9126,f7572,f7261,f5841,f9132]) ).
fof(f9132,plain,
( spl42_590
<=> ! [X4,X5] :
( ~ gt(X4,X5)
| leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_590])]) ).
fof(f9126,plain,
( spl42_589
<=> ! [X4,X5] :
( ~ gt(plus(n2,X4),X5)
| leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_589])]) ).
fof(f9130,plain,
( ! [X4,X5] :
( ~ gt(X4,X5)
| leq(X5,succ(X4)) )
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_589 ),
inference(forward_demodulation,[],[f9129,f7575]) ).
fof(f7575,plain,
( ! [X1] : plus(n4,X1) = X1
| ~ spl42_490
| ~ spl42_571 ),
inference(superposition,[],[f7573,f5842]) ).
fof(f7573,plain,
( ! [X1] : plus(X1,n4) = X1
| ~ spl42_571 ),
inference(avatar_component_clause,[],[f7572]) ).
fof(f9129,plain,
( ! [X4,X5] :
( ~ gt(plus(n4,X4),X5)
| leq(X5,succ(X4)) )
| ~ spl42_537
| ~ spl42_589 ),
inference(forward_demodulation,[],[f9127,f7263]) ).
fof(f9127,plain,
( ! [X4,X5] :
( ~ gt(plus(n2,X4),X5)
| leq(X5,succ(X4)) )
| ~ spl42_589 ),
inference(avatar_component_clause,[],[f9126]) ).
fof(f9128,plain,
( spl42_589
| ~ spl42_81
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1047,f955,f935,f9126]) ).
fof(f1047,plain,
( ! [X4,X5] :
( ~ gt(plus(n2,X4),X5)
| leq(X5,succ(X4)) )
| ~ spl42_81
| ~ spl42_86 ),
inference(superposition,[],[f956,f936]) ).
fof(f9123,plain,
( spl42_588
| ~ spl42_82
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1046,f955,f939,f9121]) ).
fof(f9121,plain,
( spl42_588
<=> ! [X2,X3] :
( ~ gt(plus(X2,n2),X3)
| leq(X3,succ(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_588])]) ).
fof(f1046,plain,
( ! [X2,X3] :
( ~ gt(plus(X2,n2),X3)
| leq(X3,succ(X2)) )
| ~ spl42_82
| ~ spl42_86 ),
inference(superposition,[],[f956,f940]) ).
fof(f9119,plain,
( spl42_587
| ~ spl42_369
| ~ spl42_586 ),
inference(avatar_split_clause,[],[f9025,f9021,f4147,f9117]) ).
fof(f4147,plain,
( spl42_369
<=> ! [X0] : leq(X0,succ(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_369])]) ).
fof(f9021,plain,
( spl42_586
<=> ! [X4,X5] :
( gt(X4,X5)
| ~ leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_586])]) ).
fof(f9025,plain,
( ! [X2] : gt(X2,X2)
| ~ spl42_369
| ~ spl42_586 ),
inference(resolution,[],[f9022,f4148]) ).
fof(f4148,plain,
( ! [X0] : leq(X0,succ(X0))
| ~ spl42_369 ),
inference(avatar_component_clause,[],[f4147]) ).
fof(f9022,plain,
( ! [X4,X5] :
( ~ leq(X5,succ(X4))
| gt(X4,X5) )
| ~ spl42_586 ),
inference(avatar_component_clause,[],[f9021]) ).
fof(f9023,plain,
( spl42_586
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_585 ),
inference(avatar_split_clause,[],[f9019,f9015,f7572,f7261,f5841,f9021]) ).
fof(f9015,plain,
( spl42_585
<=> ! [X4,X5] :
( gt(plus(n2,X4),X5)
| ~ leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_585])]) ).
fof(f9019,plain,
( ! [X4,X5] :
( gt(X4,X5)
| ~ leq(X5,succ(X4)) )
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_585 ),
inference(forward_demodulation,[],[f9018,f7575]) ).
fof(f9018,plain,
( ! [X4,X5] :
( gt(plus(n4,X4),X5)
| ~ leq(X5,succ(X4)) )
| ~ spl42_537
| ~ spl42_585 ),
inference(forward_demodulation,[],[f9016,f7263]) ).
fof(f9016,plain,
( ! [X4,X5] :
( gt(plus(n2,X4),X5)
| ~ leq(X5,succ(X4)) )
| ~ spl42_585 ),
inference(avatar_component_clause,[],[f9015]) ).
fof(f9017,plain,
( spl42_585
| ~ spl42_81
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1034,f951,f935,f9015]) ).
fof(f1034,plain,
( ! [X4,X5] :
( gt(plus(n2,X4),X5)
| ~ leq(X5,succ(X4)) )
| ~ spl42_81
| ~ spl42_85 ),
inference(superposition,[],[f952,f936]) ).
fof(f9012,plain,
( spl42_584
| ~ spl42_82
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1033,f951,f939,f9010]) ).
fof(f9010,plain,
( spl42_584
<=> ! [X2,X3] :
( gt(plus(X2,n2),X3)
| ~ leq(X3,succ(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_584])]) ).
fof(f1033,plain,
( ! [X2,X3] :
( gt(plus(X2,n2),X3)
| ~ leq(X3,succ(X2)) )
| ~ spl42_82
| ~ spl42_85 ),
inference(superposition,[],[f952,f940]) ).
fof(f8940,plain,
( spl42_583
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_582 ),
inference(avatar_split_clause,[],[f8936,f8932,f7572,f7261,f5841,f8938]) ).
fof(f8938,plain,
( spl42_583
<=> ! [X4,X5] :
( ~ leq(X4,X5)
| gt(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_583])]) ).
fof(f8932,plain,
( spl42_582
<=> ! [X4,X5] :
( ~ leq(plus(n2,X4),X5)
| gt(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_582])]) ).
fof(f8936,plain,
( ! [X4,X5] :
( ~ leq(X4,X5)
| gt(X5,succ(X4)) )
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_582 ),
inference(forward_demodulation,[],[f8935,f7575]) ).
fof(f8935,plain,
( ! [X4,X5] :
( ~ leq(plus(n4,X4),X5)
| gt(X5,succ(X4)) )
| ~ spl42_537
| ~ spl42_582 ),
inference(forward_demodulation,[],[f8933,f7263]) ).
fof(f8933,plain,
( ! [X4,X5] :
( ~ leq(plus(n2,X4),X5)
| gt(X5,succ(X4)) )
| ~ spl42_582 ),
inference(avatar_component_clause,[],[f8932]) ).
fof(f8934,plain,
( spl42_582
| ~ spl42_81
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1020,f947,f935,f8932]) ).
fof(f1020,plain,
( ! [X4,X5] :
( ~ leq(plus(n2,X4),X5)
| gt(X5,succ(X4)) )
| ~ spl42_81
| ~ spl42_84 ),
inference(superposition,[],[f948,f936]) ).
fof(f8929,plain,
( spl42_581
| ~ spl42_82
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1019,f947,f939,f8927]) ).
fof(f8927,plain,
( spl42_581
<=> ! [X2,X3] :
( ~ leq(plus(X2,n2),X3)
| gt(X3,succ(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_581])]) ).
fof(f1019,plain,
( ! [X2,X3] :
( ~ leq(plus(X2,n2),X3)
| gt(X3,succ(X2)) )
| ~ spl42_82
| ~ spl42_84 ),
inference(superposition,[],[f948,f940]) ).
fof(f8833,plain,
( spl42_580
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_578 ),
inference(avatar_split_clause,[],[f8824,f8820,f7572,f7261,f5841,f8831]) ).
fof(f8831,plain,
( spl42_580
<=> ! [X4,X5] :
( leq(X5,X4)
| ~ leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_580])]) ).
fof(f8820,plain,
( spl42_578
<=> ! [X4,X5] :
( leq(X5,plus(n2,X4))
| ~ leq(X5,succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_578])]) ).
fof(f8824,plain,
( ! [X4,X5] :
( leq(X5,X4)
| ~ leq(X5,succ(X4)) )
| ~ spl42_490
| ~ spl42_537
| ~ spl42_571
| ~ spl42_578 ),
inference(forward_demodulation,[],[f8823,f7575]) ).
fof(f8823,plain,
( ! [X4,X5] :
( leq(X5,plus(n4,X4))
| ~ leq(X5,succ(X4)) )
| ~ spl42_537
| ~ spl42_578 ),
inference(forward_demodulation,[],[f8821,f7263]) ).
fof(f8821,plain,
( ! [X4,X5] :
( leq(X5,plus(n2,X4))
| ~ leq(X5,succ(X4)) )
| ~ spl42_578 ),
inference(avatar_component_clause,[],[f8820]) ).
fof(f8829,plain,
( spl42_579
| ~ spl42_264
| ~ spl42_302 ),
inference(avatar_split_clause,[],[f5367,f3460,f3089,f8826]) ).
fof(f8826,plain,
( spl42_579
<=> lt(tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_579])]) ).
fof(f3089,plain,
( spl42_264
<=> tptp_float_0_0 = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_264])]) ).
fof(f3460,plain,
( spl42_302
<=> lt(tptp_float_0_0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_302])]) ).
fof(f5367,plain,
( lt(tptp_float_0_0,tptp_float_0_0)
| ~ spl42_264
| ~ spl42_302 ),
inference(superposition,[],[f3462,f3091]) ).
fof(f3091,plain,
( tptp_float_0_0 = sK14
| ~ spl42_264 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f3462,plain,
( lt(tptp_float_0_0,sK14)
| ~ spl42_302 ),
inference(avatar_component_clause,[],[f3460]) ).
fof(f8822,plain,
( spl42_578
| ~ spl42_81
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1007,f943,f935,f8820]) ).
fof(f1007,plain,
( ! [X4,X5] :
( leq(X5,plus(n2,X4))
| ~ leq(X5,succ(X4)) )
| ~ spl42_81
| ~ spl42_83 ),
inference(superposition,[],[f944,f936]) ).
fof(f8817,plain,
( spl42_577
| ~ spl42_82
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1006,f943,f939,f8815]) ).
fof(f8815,plain,
( spl42_577
<=> ! [X2,X3] :
( leq(X3,plus(X2,n2))
| ~ leq(X3,succ(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_577])]) ).
fof(f1006,plain,
( ! [X2,X3] :
( leq(X3,plus(X2,n2))
| ~ leq(X3,succ(X2)) )
| ~ spl42_82
| ~ spl42_83 ),
inference(superposition,[],[f944,f940]) ).
fof(f8809,plain,
( spl42_576
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f983,f939,f8807]) ).
fof(f983,plain,
( ! [X1] : plus(succ(X1),n2) = succ(plus(X1,n2))
| ~ spl42_82 ),
inference(superposition,[],[f940,f940]) ).
fof(f8798,plain,
( spl42_575
| ~ spl42_326
| ~ spl42_411 ),
inference(avatar_split_clause,[],[f5256,f4541,f3646,f8795]) ).
fof(f8795,plain,
( spl42_575
<=> gt(tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_575])]) ).
fof(f3646,plain,
( spl42_326
<=> leq(tptp_float_0_0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_326])]) ).
fof(f4541,plain,
( spl42_411
<=> ! [X7] :
( gt(tptp_float_0_0,X7)
| ~ leq(X7,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_411])]) ).
fof(f5256,plain,
( gt(tptp_float_0_0,tptp_float_0_0)
| ~ spl42_326
| ~ spl42_411 ),
inference(resolution,[],[f4542,f3648]) ).
fof(f3648,plain,
( leq(tptp_float_0_0,tptp_minus_1)
| ~ spl42_326 ),
inference(avatar_component_clause,[],[f3646]) ).
fof(f4542,plain,
( ! [X7] :
( ~ leq(X7,tptp_minus_1)
| gt(tptp_float_0_0,X7) )
| ~ spl42_411 ),
inference(avatar_component_clause,[],[f4541]) ).
fof(f8783,plain,
( spl42_574
| ~ spl42_326
| ~ spl42_404 ),
inference(avatar_split_clause,[],[f5054,f4512,f3646,f8780]) ).
fof(f4512,plain,
( spl42_404
<=> ! [X7] :
( ~ leq(tptp_float_0_0,X7)
| gt(X7,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_404])]) ).
fof(f5054,plain,
( gt(tptp_minus_1,tptp_minus_1)
| ~ spl42_326
| ~ spl42_404 ),
inference(resolution,[],[f4513,f3648]) ).
fof(f4513,plain,
( ! [X7] :
( ~ leq(tptp_float_0_0,X7)
| gt(X7,tptp_minus_1) )
| ~ spl42_404 ),
inference(avatar_component_clause,[],[f4512]) ).
fof(f8699,plain,
( spl42_573
| ~ spl42_64
| ~ spl42_390
| ~ spl42_537
| ~ spl42_571 ),
inference(avatar_split_clause,[],[f7616,f7572,f7261,f4455,f769,f8696]) ).
fof(f769,plain,
( spl42_64
<=> n5 = succ(n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).
fof(f4455,plain,
( spl42_390
<=> ! [X1] : gt(plus(n2,X1),succ(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_390])]) ).
fof(f7616,plain,
( gt(n4,n5)
| ~ spl42_64
| ~ spl42_390
| ~ spl42_537
| ~ spl42_571 ),
inference(forward_demodulation,[],[f7615,f7263]) ).
fof(f7615,plain,
( gt(n2,n5)
| ~ spl42_64
| ~ spl42_390
| ~ spl42_571 ),
inference(forward_demodulation,[],[f7592,f771]) ).
fof(f771,plain,
( n5 = succ(n4)
| ~ spl42_64 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f7592,plain,
( gt(n2,succ(n4))
| ~ spl42_390
| ~ spl42_571 ),
inference(superposition,[],[f4456,f7573]) ).
fof(f4456,plain,
( ! [X1] : gt(plus(n2,X1),succ(X1))
| ~ spl42_390 ),
inference(avatar_component_clause,[],[f4455]) ).
fof(f7645,plain,
( spl42_572
| ~ spl42_65
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1973,f1962,f780,f7643]) ).
fof(f1973,plain,
( ! [X2] : plus(X2,n4) = pred(plus(n5,X2))
| ~ spl42_65
| ~ spl42_194 ),
inference(superposition,[],[f781,f1963]) ).
fof(f7574,plain,
( spl42_571
| ~ spl42_65
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_568
| ~ spl42_570 ),
inference(avatar_split_clause,[],[f7570,f7566,f7407,f7261,f5841,f5672,f780,f7572]) ).
fof(f7407,plain,
( spl42_568
<=> ! [X1] : pred(plus(X1,n4)) = plus(X1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_568])]) ).
fof(f7570,plain,
( ! [X1] : plus(X1,n4) = X1
| ~ spl42_65
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_568
| ~ spl42_570 ),
inference(forward_demodulation,[],[f7569,f781]) ).
fof(f7569,plain,
( ! [X1] : plus(X1,n4) = pred(succ(X1))
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_568
| ~ spl42_570 ),
inference(forward_demodulation,[],[f7567,f7521]) ).
fof(f7521,plain,
( ! [X0] : succ(X0) = plus(X0,n5)
| ~ spl42_449
| ~ spl42_490
| ~ spl42_537
| ~ spl42_568 ),
inference(forward_demodulation,[],[f7501,f7466]) ).
fof(f7501,plain,
( ! [X0] : plus(X0,n5) = pred(plus(n4,X0))
| ~ spl42_490
| ~ spl42_568 ),
inference(superposition,[],[f7408,f5842]) ).
fof(f7408,plain,
( ! [X1] : pred(plus(X1,n4)) = plus(X1,n5)
| ~ spl42_568 ),
inference(avatar_component_clause,[],[f7407]) ).
fof(f7568,plain,
( spl42_570
| ~ spl42_65
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1939,f1930,f780,f7566]) ).
fof(f1939,plain,
( ! [X1] : plus(X1,n4) = pred(plus(X1,n5))
| ~ spl42_65
| ~ spl42_192 ),
inference(superposition,[],[f781,f1931]) ).
fof(f7562,plain,
( spl42_569
| ~ spl42_65
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1701,f1690,f780,f7560]) ).
fof(f1701,plain,
( ! [X2] : plus(X2,n3) = pred(plus(n4,X2))
| ~ spl42_65
| ~ spl42_188 ),
inference(superposition,[],[f781,f1691]) ).
fof(f7409,plain,
( spl42_568
| ~ spl42_547
| ~ spl42_567 ),
inference(avatar_split_clause,[],[f7405,f7402,f7320,f7407]) ).
fof(f7320,plain,
( spl42_547
<=> n3 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_547])]) ).
fof(f7402,plain,
( spl42_567
<=> ! [X1] : plus(X1,n3) = pred(plus(X1,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_567])]) ).
fof(f7405,plain,
( ! [X1] : pred(plus(X1,n4)) = plus(X1,n5)
| ~ spl42_547
| ~ spl42_567 ),
inference(forward_demodulation,[],[f7403,f7322]) ).
fof(f7322,plain,
( n3 = n5
| ~ spl42_547 ),
inference(avatar_component_clause,[],[f7320]) ).
fof(f7403,plain,
( ! [X1] : plus(X1,n3) = pred(plus(X1,n4))
| ~ spl42_567 ),
inference(avatar_component_clause,[],[f7402]) ).
fof(f7404,plain,
( spl42_567
| ~ spl42_65
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1666,f1657,f780,f7402]) ).
fof(f1666,plain,
( ! [X1] : plus(X1,n3) = pred(plus(X1,n4))
| ~ spl42_65
| ~ spl42_186 ),
inference(superposition,[],[f781,f1658]) ).
fof(f7400,plain,
( spl42_566
| ~ spl42_77
| ~ spl42_177 ),
inference(avatar_split_clause,[],[f1627,f1549,f854,f7398]) ).
fof(f7398,plain,
( spl42_566
<=> ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(sK41(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_566])]) ).
fof(f1549,plain,
( spl42_177
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK41(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).
fof(f1627,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(sK41(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_177 ),
inference(resolution,[],[f1550,f855]) ).
fof(f1550,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK41(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl42_177 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f7396,plain,
( spl42_565
| ~ spl42_77
| ~ spl42_176 ),
inference(avatar_split_clause,[],[f1626,f1543,f854,f7394]) ).
fof(f7394,plain,
( spl42_565
<=> ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(sK40(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_565])]) ).
fof(f1543,plain,
( spl42_176
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).
fof(f1626,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(sK40(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_176 ),
inference(resolution,[],[f1544,f855]) ).
fof(f1544,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl42_176 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f7392,plain,
( spl42_564
| ~ spl42_77
| ~ spl42_175 ),
inference(avatar_split_clause,[],[f1625,f1537,f854,f7390]) ).
fof(f7390,plain,
( spl42_564
<=> ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(sK39(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_564])]) ).
fof(f1537,plain,
( spl42_175
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).
fof(f1625,plain,
( ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(sK39(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_175 ),
inference(resolution,[],[f1538,f855]) ).
fof(f1538,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl42_175 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f7388,plain,
( spl42_563
| ~ spl42_77
| ~ spl42_173 ),
inference(avatar_split_clause,[],[f1624,f1526,f854,f7386]) ).
fof(f7386,plain,
( spl42_563
<=> ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(sK38(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_563])]) ).
fof(f1526,plain,
( spl42_173
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_173])]) ).
fof(f1624,plain,
( ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(sK38(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_173 ),
inference(resolution,[],[f1527,f855]) ).
fof(f1527,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl42_173 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f7384,plain,
( spl42_562
| ~ spl42_77
| ~ spl42_172 ),
inference(avatar_split_clause,[],[f1623,f1520,f854,f7382]) ).
fof(f7382,plain,
( spl42_562
<=> ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(sK37(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_562])]) ).
fof(f1520,plain,
( spl42_172
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).
fof(f1623,plain,
( ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(sK37(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_172 ),
inference(resolution,[],[f1521,f855]) ).
fof(f1521,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl42_172 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f7380,plain,
( spl42_561
| ~ spl42_77
| ~ spl42_171 ),
inference(avatar_split_clause,[],[f1622,f1514,f854,f7378]) ).
fof(f7378,plain,
( spl42_561
<=> ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(sK36(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_561])]) ).
fof(f1514,plain,
( spl42_171
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).
fof(f1622,plain,
( ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(sK36(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_171 ),
inference(resolution,[],[f1515,f855]) ).
fof(f1515,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl42_171 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f7376,plain,
( spl42_560
| ~ spl42_77
| ~ spl42_170 ),
inference(avatar_split_clause,[],[f1621,f1508,f854,f7374]) ).
fof(f7374,plain,
( spl42_560
<=> ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(sK33(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_560])]) ).
fof(f1508,plain,
( spl42_170
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).
fof(f1621,plain,
( ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(sK33(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_170 ),
inference(resolution,[],[f1509,f855]) ).
fof(f1509,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl42_170 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f7372,plain,
( spl42_559
| ~ spl42_77
| ~ spl42_169 ),
inference(avatar_split_clause,[],[f1620,f1502,f854,f7370]) ).
fof(f7370,plain,
( spl42_559
<=> ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(sK32(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_559])]) ).
fof(f1502,plain,
( spl42_169
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_169])]) ).
fof(f1620,plain,
( ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(sK32(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_169 ),
inference(resolution,[],[f1503,f855]) ).
fof(f1503,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl42_169 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f7368,plain,
( spl42_558
| ~ spl42_62
| ~ spl42_64
| ~ spl42_69
| ~ spl42_147
| ~ spl42_362
| ~ spl42_364
| ~ spl42_367
| ~ spl42_377
| ~ spl42_448 ),
inference(avatar_split_clause,[],[f7222,f5659,f4345,f4137,f4123,f4113,f1329,f821,f769,f759,f7365]) ).
fof(f759,plain,
( spl42_62
<=> n3 = succ(n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_62])]) ).
fof(f821,plain,
( spl42_69
<=> ! [X0] : succ(X0) = plus(X0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_69])]) ).
fof(f4113,plain,
( spl42_362
<=> n1 = pred(n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_362])]) ).
fof(f4123,plain,
( spl42_364
<=> n3 = pred(n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_364])]) ).
fof(f4137,plain,
( spl42_367
<=> n1 = succ(tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_367])]) ).
fof(f4345,plain,
( spl42_377
<=> n2 = plus(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_377])]) ).
fof(f5659,plain,
( spl42_448
<=> ! [X0] : succ(X0) = plus(tptp_float_0_0,pred(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_448])]) ).
fof(f7222,plain,
( n1 = n5
| ~ spl42_62
| ~ spl42_64
| ~ spl42_69
| ~ spl42_147
| ~ spl42_362
| ~ spl42_364
| ~ spl42_367
| ~ spl42_377
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7179,f7185]) ).
fof(f7185,plain,
( n3 = n5
| ~ spl42_62
| ~ spl42_64
| ~ spl42_147
| ~ spl42_364
| ~ spl42_377
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7184,f771]) ).
fof(f7184,plain,
( n3 = succ(n4)
| ~ spl42_62
| ~ spl42_147
| ~ spl42_364
| ~ spl42_377
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7169,f4382]) ).
fof(f4382,plain,
( n3 = plus(tptp_float_0_0,n3)
| ~ spl42_62
| ~ spl42_147
| ~ spl42_377 ),
inference(forward_demodulation,[],[f4380,f761]) ).
fof(f761,plain,
( n3 = succ(n2)
| ~ spl42_62 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f4380,plain,
( succ(n2) = plus(tptp_float_0_0,n3)
| ~ spl42_147
| ~ spl42_377 ),
inference(superposition,[],[f1330,f4347]) ).
fof(f4347,plain,
( n2 = plus(n2,tptp_float_0_0)
| ~ spl42_377 ),
inference(avatar_component_clause,[],[f4345]) ).
fof(f7169,plain,
( succ(n4) = plus(tptp_float_0_0,n3)
| ~ spl42_364
| ~ spl42_448 ),
inference(superposition,[],[f5660,f4125]) ).
fof(f4125,plain,
( n3 = pred(n4)
| ~ spl42_364 ),
inference(avatar_component_clause,[],[f4123]) ).
fof(f5660,plain,
( ! [X0] : succ(X0) = plus(tptp_float_0_0,pred(X0))
| ~ spl42_448 ),
inference(avatar_component_clause,[],[f5659]) ).
fof(f7179,plain,
( n1 = n3
| ~ spl42_62
| ~ spl42_69
| ~ spl42_362
| ~ spl42_367
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7178,f761]) ).
fof(f7178,plain,
( n1 = succ(n2)
| ~ spl42_69
| ~ spl42_362
| ~ spl42_367
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7177,f4139]) ).
fof(f4139,plain,
( n1 = succ(tptp_float_0_0)
| ~ spl42_367 ),
inference(avatar_component_clause,[],[f4137]) ).
fof(f7177,plain,
( succ(n2) = succ(tptp_float_0_0)
| ~ spl42_69
| ~ spl42_362
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7167,f822]) ).
fof(f822,plain,
( ! [X0] : succ(X0) = plus(X0,n1)
| ~ spl42_69 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f7167,plain,
( succ(n2) = plus(tptp_float_0_0,n1)
| ~ spl42_362
| ~ spl42_448 ),
inference(superposition,[],[f5660,f4115]) ).
fof(f4115,plain,
( n1 = pred(n2)
| ~ spl42_362 ),
inference(avatar_component_clause,[],[f4113]) ).
fof(f7363,plain,
( spl42_557
| ~ spl42_77
| ~ spl42_167 ),
inference(avatar_split_clause,[],[f1619,f1491,f854,f7361]) ).
fof(f7361,plain,
( spl42_557
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(sK30(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_557])]) ).
fof(f1491,plain,
( spl42_167
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).
fof(f1619,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(sK30(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_167 ),
inference(resolution,[],[f1492,f855]) ).
fof(f1492,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl42_167 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f7359,plain,
( spl42_556
| ~ spl42_77
| ~ spl42_166 ),
inference(avatar_split_clause,[],[f1618,f1485,f854,f7357]) ).
fof(f7357,plain,
( spl42_556
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(sK29(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_556])]) ).
fof(f1485,plain,
( spl42_166
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_166])]) ).
fof(f1618,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(sK29(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_166 ),
inference(resolution,[],[f1486,f855]) ).
fof(f1486,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl42_166 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f7355,plain,
( spl42_555
| ~ spl42_77
| ~ spl42_165 ),
inference(avatar_split_clause,[],[f1617,f1479,f854,f7353]) ).
fof(f7353,plain,
( spl42_555
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(sK28(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_555])]) ).
fof(f1479,plain,
( spl42_165
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_165])]) ).
fof(f1617,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(sK28(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_165 ),
inference(resolution,[],[f1480,f855]) ).
fof(f1480,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl42_165 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f7351,plain,
( spl42_554
| ~ spl42_77
| ~ spl42_164 ),
inference(avatar_split_clause,[],[f1616,f1473,f854,f7349]) ).
fof(f7349,plain,
( spl42_554
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(sK27(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_554])]) ).
fof(f1473,plain,
( spl42_164
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).
fof(f1616,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(sK27(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_164 ),
inference(resolution,[],[f1474,f855]) ).
fof(f1474,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl42_164 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f7347,plain,
( spl42_553
| ~ spl42_77
| ~ spl42_163 ),
inference(avatar_split_clause,[],[f1615,f1467,f854,f7345]) ).
fof(f7345,plain,
( spl42_553
<=> ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(sK26(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_553])]) ).
fof(f1467,plain,
( spl42_163
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).
fof(f1615,plain,
( ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(sK26(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_163 ),
inference(resolution,[],[f1468,f855]) ).
fof(f1468,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl42_163 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f7343,plain,
( spl42_552
| ~ spl42_77
| ~ spl42_162 ),
inference(avatar_split_clause,[],[f1614,f1460,f854,f7341]) ).
fof(f7341,plain,
( spl42_552
<=> ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(sK25(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_552])]) ).
fof(f1460,plain,
( spl42_162
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).
fof(f1614,plain,
( ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(sK25(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_162 ),
inference(resolution,[],[f1461,f855]) ).
fof(f1461,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl42_162 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f7339,plain,
( spl42_551
| ~ spl42_77
| ~ spl42_161 ),
inference(avatar_split_clause,[],[f1613,f1454,f854,f7337]) ).
fof(f7337,plain,
( spl42_551
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(sK24(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_551])]) ).
fof(f1454,plain,
( spl42_161
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).
fof(f1613,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(sK24(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_161 ),
inference(resolution,[],[f1455,f855]) ).
fof(f1455,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl42_161 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f7335,plain,
( spl42_550
| ~ spl42_77
| ~ spl42_160 ),
inference(avatar_split_clause,[],[f1607,f1448,f854,f7333]) ).
fof(f7333,plain,
( spl42_550
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(sK23(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_550])]) ).
fof(f1448,plain,
( spl42_160
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_160])]) ).
fof(f1607,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(sK23(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_160 ),
inference(resolution,[],[f1449,f855]) ).
fof(f1449,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl42_160 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f7331,plain,
( spl42_549
| ~ spl42_77
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f1606,f1442,f854,f7329]) ).
fof(f7329,plain,
( spl42_549
<=> ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(sK22(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_549])]) ).
fof(f1442,plain,
( spl42_159
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).
fof(f1606,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(sK22(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_159 ),
inference(resolution,[],[f1443,f855]) ).
fof(f1443,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl42_159 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f7327,plain,
( spl42_548
| ~ spl42_77
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f1605,f1436,f854,f7325]) ).
fof(f7325,plain,
( spl42_548
<=> ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(sK21(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_548])]) ).
fof(f1436,plain,
( spl42_158
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).
fof(f1605,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(sK21(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_158 ),
inference(resolution,[],[f1437,f855]) ).
fof(f1437,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl42_158 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f7323,plain,
( spl42_547
| ~ spl42_62
| ~ spl42_64
| ~ spl42_147
| ~ spl42_364
| ~ spl42_377
| ~ spl42_448 ),
inference(avatar_split_clause,[],[f7185,f5659,f4345,f4123,f1329,f769,f759,f7320]) ).
fof(f7318,plain,
( spl42_546
| ~ spl42_77
| ~ spl42_157 ),
inference(avatar_split_clause,[],[f1604,f1380,f854,f7316]) ).
fof(f7316,plain,
( spl42_546
<=> ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(sK20(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_546])]) ).
fof(f1380,plain,
( spl42_157
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_157])]) ).
fof(f1604,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(sK20(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_157 ),
inference(resolution,[],[f1381,f855]) ).
fof(f1381,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl42_157 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f7314,plain,
( spl42_545
| ~ spl42_77
| ~ spl42_156 ),
inference(avatar_split_clause,[],[f1603,f1374,f854,f7312]) ).
fof(f7312,plain,
( spl42_545
<=> ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(sK19(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_545])]) ).
fof(f1374,plain,
( spl42_156
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).
fof(f1603,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(sK19(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_156 ),
inference(resolution,[],[f1375,f855]) ).
fof(f1375,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl42_156 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f7310,plain,
( spl42_544
| ~ spl42_77
| ~ spl42_155 ),
inference(avatar_split_clause,[],[f1602,f1368,f854,f7308]) ).
fof(f7308,plain,
( spl42_544
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(sK18(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_544])]) ).
fof(f1368,plain,
( spl42_155
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).
fof(f1602,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(sK18(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_155 ),
inference(resolution,[],[f1369,f855]) ).
fof(f1369,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl42_155 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f7306,plain,
( spl42_543
| ~ spl42_77
| ~ spl42_154 ),
inference(avatar_split_clause,[],[f1601,f1361,f854,f7304]) ).
fof(f7304,plain,
( spl42_543
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(sK17(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_543])]) ).
fof(f1361,plain,
( spl42_154
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).
fof(f1601,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(sK17(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_154 ),
inference(resolution,[],[f1362,f855]) ).
fof(f1362,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl42_154 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f7302,plain,
( spl42_542
| ~ spl42_77
| ~ spl42_153 ),
inference(avatar_split_clause,[],[f1600,f1355,f854,f7300]) ).
fof(f7300,plain,
( spl42_542
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(sK16(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_542])]) ).
fof(f1355,plain,
( spl42_153
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).
fof(f1600,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(sK16(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_153 ),
inference(resolution,[],[f1356,f855]) ).
fof(f1356,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl42_153 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f7298,plain,
( spl42_541
| ~ spl42_77
| ~ spl42_152 ),
inference(avatar_split_clause,[],[f1599,f1349,f854,f7296]) ).
fof(f7296,plain,
( spl42_541
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(sK15(X0,X1),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_541])]) ).
fof(f1349,plain,
( spl42_152
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_152])]) ).
fof(f1599,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(sK15(X0,X1),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_152 ),
inference(resolution,[],[f1350,f855]) ).
fof(f1350,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl42_152 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f7294,plain,
( spl42_540
| ~ spl42_77
| ~ spl42_150 ),
inference(avatar_split_clause,[],[f1589,f1341,f854,f7292]) ).
fof(f7292,plain,
( spl42_540
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| geq(X0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_540])]) ).
fof(f1589,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| geq(X0,uniform_int_rnd(X1,X0)) )
| ~ spl42_77
| ~ spl42_150 ),
inference(resolution,[],[f1342,f855]) ).
fof(f7290,plain,
( spl42_539
| ~ spl42_77
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f1588,f1337,f854,f7288]) ).
fof(f7288,plain,
( spl42_539
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| geq(uniform_int_rnd(X1,X0),tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_539])]) ).
fof(f1337,plain,
( spl42_149
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).
fof(f1588,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| geq(uniform_int_rnd(X1,X0),tptp_float_0_0) )
| ~ spl42_77
| ~ spl42_149 ),
inference(resolution,[],[f1338,f855]) ).
fof(f1338,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(tptp_float_0_0,X0) )
| ~ spl42_149 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f7268,plain,
( spl42_538
| ~ spl42_62
| ~ spl42_63
| ~ spl42_64
| ~ spl42_147
| ~ spl42_363
| ~ spl42_364
| ~ spl42_377
| ~ spl42_381
| ~ spl42_448
| ~ spl42_536 ),
inference(avatar_split_clause,[],[f7259,f7255,f5659,f4365,f4345,f4123,f4118,f1329,f769,f764,f759,f7266]) ).
fof(f7266,plain,
( spl42_538
<=> ! [X2] : plus(n4,X2) = pred(plus(n5,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_538])]) ).
fof(f764,plain,
( spl42_63
<=> n4 = succ(n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).
fof(f4118,plain,
( spl42_363
<=> n2 = pred(n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_363])]) ).
fof(f4365,plain,
( spl42_381
<=> n2 = plus(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_381])]) ).
fof(f7255,plain,
( spl42_536
<=> ! [X2] : plus(n2,X2) = pred(plus(n3,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_536])]) ).
fof(f7259,plain,
( ! [X2] : plus(n4,X2) = pred(plus(n5,X2))
| ~ spl42_62
| ~ spl42_63
| ~ spl42_64
| ~ spl42_147
| ~ spl42_363
| ~ spl42_364
| ~ spl42_377
| ~ spl42_381
| ~ spl42_448
| ~ spl42_536 ),
inference(forward_demodulation,[],[f7258,f7182]) ).
fof(f7182,plain,
( n2 = n4
| ~ spl42_63
| ~ spl42_363
| ~ spl42_381
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7181,f766]) ).
fof(f766,plain,
( n4 = succ(n3)
| ~ spl42_63 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f7181,plain,
( n2 = succ(n3)
| ~ spl42_363
| ~ spl42_381
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7168,f4367]) ).
fof(f4367,plain,
( n2 = plus(tptp_float_0_0,n2)
| ~ spl42_381 ),
inference(avatar_component_clause,[],[f4365]) ).
fof(f7168,plain,
( succ(n3) = plus(tptp_float_0_0,n2)
| ~ spl42_363
| ~ spl42_448 ),
inference(superposition,[],[f5660,f4120]) ).
fof(f4120,plain,
( n2 = pred(n3)
| ~ spl42_363 ),
inference(avatar_component_clause,[],[f4118]) ).
fof(f7258,plain,
( ! [X2] : plus(n2,X2) = pred(plus(n5,X2))
| ~ spl42_62
| ~ spl42_64
| ~ spl42_147
| ~ spl42_364
| ~ spl42_377
| ~ spl42_448
| ~ spl42_536 ),
inference(forward_demodulation,[],[f7256,f7185]) ).
fof(f7256,plain,
( ! [X2] : plus(n2,X2) = pred(plus(n3,X2))
| ~ spl42_536 ),
inference(avatar_component_clause,[],[f7255]) ).
fof(f7264,plain,
( spl42_537
| ~ spl42_63
| ~ spl42_363
| ~ spl42_381
| ~ spl42_448 ),
inference(avatar_split_clause,[],[f7182,f5659,f4365,f4118,f764,f7261]) ).
fof(f7257,plain,
( spl42_536
| ~ spl42_65
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1574,f1333,f780,f7255]) ).
fof(f1574,plain,
( ! [X2] : plus(n2,X2) = pred(plus(n3,X2))
| ~ spl42_65
| ~ spl42_148 ),
inference(superposition,[],[f781,f1334]) ).
fof(f7215,plain,
( spl42_535
| ~ spl42_59
| ~ spl42_62
| ~ spl42_68
| ~ spl42_69
| ~ spl42_271
| ~ spl42_362
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382
| ~ spl42_448
| ~ spl42_534 ),
inference(avatar_split_clause,[],[f7211,f7207,f5659,f4370,f4365,f4137,f4113,f3139,f821,f800,f759,f745,f7213]) ).
fof(f7213,plain,
( spl42_535
<=> ! [X1] : pred(plus(X1,tptp_float_0_0)) = plus(tptp_float_0_0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_535])]) ).
fof(f745,plain,
( spl42_59
<=> n0 = succ(tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_59])]) ).
fof(f800,plain,
( spl42_68
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_68])]) ).
fof(f3139,plain,
( spl42_271
<=> tptp_minus_1 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_271])]) ).
fof(f4370,plain,
( spl42_382
<=> n1 = plus(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_382])]) ).
fof(f7207,plain,
( spl42_534
<=> ! [X1] : plus(n2,X1) = pred(plus(X1,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_534])]) ).
fof(f7211,plain,
( ! [X1] : pred(plus(X1,tptp_float_0_0)) = plus(tptp_float_0_0,X1)
| ~ spl42_59
| ~ spl42_62
| ~ spl42_68
| ~ spl42_69
| ~ spl42_271
| ~ spl42_362
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382
| ~ spl42_448
| ~ spl42_534 ),
inference(forward_demodulation,[],[f7210,f7034]) ).
fof(f7034,plain,
( tptp_float_0_0 = n2
| ~ spl42_59
| ~ spl42_68
| ~ spl42_271
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382 ),
inference(forward_demodulation,[],[f5664,f802]) ).
fof(f802,plain,
( n0 = tptp_float_0_0
| ~ spl42_68 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f5664,plain,
( n0 = n2
| ~ spl42_59
| ~ spl42_271
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382 ),
inference(forward_demodulation,[],[f5527,f5534]) ).
fof(f5534,plain,
( n1 = n2
| ~ spl42_271
| ~ spl42_381
| ~ spl42_382 ),
inference(forward_demodulation,[],[f5522,f4367]) ).
fof(f5522,plain,
( n1 = plus(tptp_float_0_0,n2)
| ~ spl42_271
| ~ spl42_382 ),
inference(superposition,[],[f4372,f3141]) ).
fof(f3141,plain,
( tptp_minus_1 = tptp_float_0_0
| ~ spl42_271 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f4372,plain,
( n1 = plus(tptp_minus_1,n2)
| ~ spl42_382 ),
inference(avatar_component_clause,[],[f4370]) ).
fof(f5527,plain,
( n0 = n1
| ~ spl42_59
| ~ spl42_271
| ~ spl42_367 ),
inference(forward_demodulation,[],[f5497,f4139]) ).
fof(f5497,plain,
( n0 = succ(tptp_float_0_0)
| ~ spl42_59
| ~ spl42_271 ),
inference(superposition,[],[f747,f3141]) ).
fof(f747,plain,
( n0 = succ(tptp_minus_1)
| ~ spl42_59 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f7210,plain,
( ! [X1] : plus(n2,X1) = pred(plus(X1,tptp_float_0_0))
| ~ spl42_59
| ~ spl42_62
| ~ spl42_68
| ~ spl42_69
| ~ spl42_271
| ~ spl42_362
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382
| ~ spl42_448
| ~ spl42_534 ),
inference(forward_demodulation,[],[f7208,f7180]) ).
fof(f7180,plain,
( tptp_float_0_0 = n3
| ~ spl42_59
| ~ spl42_62
| ~ spl42_68
| ~ spl42_69
| ~ spl42_271
| ~ spl42_362
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382
| ~ spl42_448 ),
inference(forward_demodulation,[],[f7179,f7035]) ).
fof(f7035,plain,
( tptp_float_0_0 = n1
| ~ spl42_59
| ~ spl42_68
| ~ spl42_271
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382 ),
inference(forward_demodulation,[],[f5534,f7034]) ).
fof(f7208,plain,
( ! [X1] : plus(n2,X1) = pred(plus(X1,n3))
| ~ spl42_534 ),
inference(avatar_component_clause,[],[f7207]) ).
fof(f7209,plain,
( spl42_534
| ~ spl42_65
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1556,f1329,f780,f7207]) ).
fof(f1556,plain,
( ! [X1] : plus(n2,X1) = pred(plus(X1,n3))
| ~ spl42_65
| ~ spl42_147 ),
inference(superposition,[],[f781,f1330]) ).
fof(f7205,plain,
( spl42_533
| ~ spl42_77
| ~ spl42_146 ),
inference(avatar_split_clause,[],[f1552,f1324,f854,f7203]) ).
fof(f7203,plain,
( spl42_533
<=> ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(X1,sK41(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_533])]) ).
fof(f1552,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(X1,sK41(X0,X1)) )
| ~ spl42_77
| ~ spl42_146 ),
inference(resolution,[],[f1325,f855]) ).
fof(f7201,plain,
( spl42_532
| ~ spl42_77
| ~ spl42_144 ),
inference(avatar_split_clause,[],[f1546,f1315,f854,f7199]) ).
fof(f7199,plain,
( spl42_532
<=> ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(X1,sK40(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_532])]) ).
fof(f1546,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| geq(X1,sK40(X0,X1)) )
| ~ spl42_77
| ~ spl42_144 ),
inference(resolution,[],[f1316,f855]) ).
fof(f7197,plain,
( spl42_531
| ~ spl42_77
| ~ spl42_142 ),
inference(avatar_split_clause,[],[f1540,f1306,f854,f7195]) ).
fof(f7195,plain,
( spl42_531
<=> ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(X1,sK39(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_531])]) ).
fof(f1540,plain,
( ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(X1,sK39(X0,X1)) )
| ~ spl42_77
| ~ spl42_142 ),
inference(resolution,[],[f1307,f855]) ).
fof(f7193,plain,
( spl42_530
| ~ spl42_77
| ~ spl42_140 ),
inference(avatar_split_clause,[],[f1529,f1297,f854,f7191]) ).
fof(f7191,plain,
( spl42_530
<=> ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(X1,sK38(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_530])]) ).
fof(f1529,plain,
( ! [X0,X1] :
( ~ sP11(X0,X1)
| geq(X1,sK38(X0,X1)) )
| ~ spl42_77
| ~ spl42_140 ),
inference(resolution,[],[f1298,f855]) ).
fof(f7033,plain,
( spl42_529
| ~ spl42_264
| ~ spl42_270 ),
inference(avatar_split_clause,[],[f3473,f3130,f3089,f7030]) ).
fof(f3130,plain,
( spl42_270
<=> lt(sK14,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_270])]) ).
fof(f3473,plain,
( lt(tptp_float_0_0,tptp_minus_1)
| ~ spl42_264
| ~ spl42_270 ),
inference(superposition,[],[f3132,f3091]) ).
fof(f3132,plain,
( lt(sK14,tptp_minus_1)
| ~ spl42_270 ),
inference(avatar_component_clause,[],[f3130]) ).
fof(f7028,plain,
( spl42_528
| ~ spl42_77
| ~ spl42_138 ),
inference(avatar_split_clause,[],[f1523,f1288,f854,f7026]) ).
fof(f7026,plain,
( spl42_528
<=> ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(X1,sK37(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_528])]) ).
fof(f1523,plain,
( ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(X1,sK37(X0,X1)) )
| ~ spl42_77
| ~ spl42_138 ),
inference(resolution,[],[f1289,f855]) ).
fof(f7024,plain,
( spl42_527
| ~ spl42_77
| ~ spl42_136 ),
inference(avatar_split_clause,[],[f1517,f1278,f854,f7022]) ).
fof(f7022,plain,
( spl42_527
<=> ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(X1,sK36(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_527])]) ).
fof(f1517,plain,
( ! [X0,X1] :
( ~ sP12(X0,X1)
| geq(X1,sK36(X0,X1)) )
| ~ spl42_77
| ~ spl42_136 ),
inference(resolution,[],[f1279,f855]) ).
fof(f7020,plain,
( spl42_526
| ~ spl42_77
| ~ spl42_134 ),
inference(avatar_split_clause,[],[f1511,f1269,f854,f7018]) ).
fof(f7018,plain,
( spl42_526
<=> ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(X1,sK33(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_526])]) ).
fof(f1511,plain,
( ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(X1,sK33(X0,X1)) )
| ~ spl42_77
| ~ spl42_134 ),
inference(resolution,[],[f1270,f855]) ).
fof(f7016,plain,
( spl42_525
| ~ spl42_77
| ~ spl42_132 ),
inference(avatar_split_clause,[],[f1505,f1260,f854,f7014]) ).
fof(f7014,plain,
( spl42_525
<=> ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(X1,sK32(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_525])]) ).
fof(f1505,plain,
( ! [X0,X1] :
( ~ sP8(X0,X1)
| geq(X1,sK32(X0,X1)) )
| ~ spl42_77
| ~ spl42_132 ),
inference(resolution,[],[f1261,f855]) ).
fof(f7012,plain,
( spl42_524
| ~ spl42_77
| ~ spl42_130 ),
inference(avatar_split_clause,[],[f1494,f1251,f854,f7010]) ).
fof(f7010,plain,
( spl42_524
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(X1,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_524])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(X1,sK30(X0,X1)) )
| ~ spl42_77
| ~ spl42_130 ),
inference(resolution,[],[f1252,f855]) ).
fof(f7008,plain,
( spl42_523
| ~ spl42_77
| ~ spl42_128 ),
inference(avatar_split_clause,[],[f1488,f1242,f854,f7006]) ).
fof(f7006,plain,
( spl42_523
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(X1,sK29(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_523])]) ).
fof(f1488,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| geq(X1,sK29(X0,X1)) )
| ~ spl42_77
| ~ spl42_128 ),
inference(resolution,[],[f1243,f855]) ).
fof(f7004,plain,
( spl42_522
| ~ spl42_77
| ~ spl42_125 ),
inference(avatar_split_clause,[],[f1482,f1228,f854,f7002]) ).
fof(f7002,plain,
( spl42_522
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(X1,sK28(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_522])]) ).
fof(f1482,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(X1,sK28(X0,X1)) )
| ~ spl42_77
| ~ spl42_125 ),
inference(resolution,[],[f1229,f855]) ).
fof(f7000,plain,
( spl42_521
| ~ spl42_77
| ~ spl42_123 ),
inference(avatar_split_clause,[],[f1476,f1219,f854,f6998]) ).
fof(f6998,plain,
( spl42_521
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(X1,sK27(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_521])]) ).
fof(f1476,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| geq(X1,sK27(X0,X1)) )
| ~ spl42_77
| ~ spl42_123 ),
inference(resolution,[],[f1220,f855]) ).
fof(f6996,plain,
( spl42_520
| ~ spl42_77
| ~ spl42_121 ),
inference(avatar_split_clause,[],[f1470,f1210,f854,f6994]) ).
fof(f6994,plain,
( spl42_520
<=> ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(X1,sK26(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_520])]) ).
fof(f1470,plain,
( ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(X1,sK26(X0,X1)) )
| ~ spl42_77
| ~ spl42_121 ),
inference(resolution,[],[f1211,f855]) ).
fof(f6992,plain,
( spl42_519
| ~ spl42_77
| ~ spl42_119 ),
inference(avatar_split_clause,[],[f1463,f1201,f854,f6990]) ).
fof(f6990,plain,
( spl42_519
<=> ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(X1,sK25(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_519])]) ).
fof(f1463,plain,
( ! [X0,X1] :
( ~ sP6(X0,X1)
| geq(X1,sK25(X0,X1)) )
| ~ spl42_77
| ~ spl42_119 ),
inference(resolution,[],[f1202,f855]) ).
fof(f6987,plain,
( spl42_259
| ~ spl42_74
| ~ spl42_270 ),
inference(avatar_split_clause,[],[f3408,f3130,f842,f3051]) ).
fof(f3051,plain,
( spl42_259
<=> gt(tptp_minus_1,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).
fof(f842,plain,
( spl42_74
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).
fof(f3408,plain,
( gt(tptp_minus_1,sK14)
| ~ spl42_74
| ~ spl42_270 ),
inference(resolution,[],[f3132,f843]) ).
fof(f843,plain,
( ! [X0,X1] :
( ~ lt(X0,X1)
| gt(X1,X0) )
| ~ spl42_74 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f6986,plain,
( spl42_518
| ~ spl42_77
| ~ spl42_117 ),
inference(avatar_split_clause,[],[f1457,f1192,f854,f6984]) ).
fof(f6984,plain,
( spl42_518
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(X1,sK24(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_518])]) ).
fof(f1457,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(X1,sK24(X0,X1)) )
| ~ spl42_77
| ~ spl42_117 ),
inference(resolution,[],[f1193,f855]) ).
fof(f6982,plain,
( spl42_517
| ~ spl42_77
| ~ spl42_114 ),
inference(avatar_split_clause,[],[f1451,f1178,f854,f6980]) ).
fof(f6980,plain,
( spl42_517
<=> ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(X1,sK23(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_517])]) ).
fof(f1451,plain,
( ! [X0,X1] :
( ~ sP3(X0,X1)
| geq(X1,sK23(X0,X1)) )
| ~ spl42_77
| ~ spl42_114 ),
inference(resolution,[],[f1179,f855]) ).
fof(f6978,plain,
( spl42_516
| ~ spl42_77
| ~ spl42_112 ),
inference(avatar_split_clause,[],[f1445,f1169,f854,f6976]) ).
fof(f6976,plain,
( spl42_516
<=> ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(X1,sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_516])]) ).
fof(f1445,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(X1,sK22(X0,X1)) )
| ~ spl42_77
| ~ spl42_112 ),
inference(resolution,[],[f1170,f855]) ).
fof(f6974,plain,
( spl42_515
| ~ spl42_77
| ~ spl42_110 ),
inference(avatar_split_clause,[],[f1439,f1160,f854,f6972]) ).
fof(f6972,plain,
( spl42_515
<=> ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(X1,sK21(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_515])]) ).
fof(f1439,plain,
( ! [X0,X1] :
( ~ sP4(X0,X1)
| geq(X1,sK21(X0,X1)) )
| ~ spl42_77
| ~ spl42_110 ),
inference(resolution,[],[f1161,f855]) ).
fof(f6970,plain,
( spl42_514
| ~ spl42_66
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1421,f1147,f784,f6968]) ).
fof(f6968,plain,
( spl42_514
<=> ! [X0,X1] :
( leq(succ(X1),X0)
| ~ leq(X1,pred(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_514])]) ).
fof(f784,plain,
( spl42_66
<=> ! [X0] : succ(pred(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_66])]) ).
fof(f1421,plain,
( ! [X0,X1] :
( leq(succ(X1),X0)
| ~ leq(X1,pred(X0)) )
| ~ spl42_66
| ~ spl42_107 ),
inference(superposition,[],[f1148,f785]) ).
fof(f785,plain,
( ! [X0] : succ(pred(X0)) = X0
| ~ spl42_66 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f6966,plain,
( spl42_513
| ~ spl42_66
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1412,f1147,f784,f6964]) ).
fof(f6964,plain,
( spl42_513
<=> ! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(pred(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_513])]) ).
fof(f1412,plain,
( ! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(pred(X0),X1) )
| ~ spl42_66
| ~ spl42_107 ),
inference(superposition,[],[f1148,f785]) ).
fof(f6962,plain,
( spl42_512
| ~ spl42_77
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1411,f1147,f854,f6960]) ).
fof(f6960,plain,
( spl42_512
<=> ! [X4,X5] :
( ~ leq(X4,X5)
| geq(succ(X5),succ(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_512])]) ).
fof(f1411,plain,
( ! [X4,X5] :
( ~ leq(X4,X5)
| geq(succ(X5),succ(X4)) )
| ~ spl42_77
| ~ spl42_107 ),
inference(resolution,[],[f1148,f855]) ).
fof(f6958,plain,
( spl42_511
| ~ spl42_66
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1396,f1143,f784,f6956]) ).
fof(f6956,plain,
( spl42_511
<=> ! [X0,X1] :
( ~ leq(succ(X1),X0)
| leq(X1,pred(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_511])]) ).
fof(f1396,plain,
( ! [X0,X1] :
( ~ leq(succ(X1),X0)
| leq(X1,pred(X0)) )
| ~ spl42_66
| ~ spl42_106 ),
inference(superposition,[],[f1144,f785]) ).
fof(f6954,plain,
( spl42_510
| ~ spl42_66
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1387,f1143,f784,f6952]) ).
fof(f6952,plain,
( spl42_510
<=> ! [X0,X1] :
( ~ leq(X0,succ(X1))
| leq(pred(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_510])]) ).
fof(f1387,plain,
( ! [X0,X1] :
( ~ leq(X0,succ(X1))
| leq(pred(X0),X1) )
| ~ spl42_66
| ~ spl42_106 ),
inference(superposition,[],[f1144,f785]) ).
fof(f6950,plain,
( spl42_509
| ~ spl42_77
| ~ spl42_105 ),
inference(avatar_split_clause,[],[f1383,f1139,f854,f6948]) ).
fof(f6948,plain,
( spl42_509
<=> ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(X1,sK20(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_509])]) ).
fof(f1383,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(X1,sK20(X0,X1)) )
| ~ spl42_77
| ~ spl42_105 ),
inference(resolution,[],[f1140,f855]) ).
fof(f6937,plain,
( spl42_508
| ~ spl42_77
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f1377,f1125,f854,f6935]) ).
fof(f6935,plain,
( spl42_508
<=> ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(X1,sK19(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_508])]) ).
fof(f1377,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| geq(X1,sK19(X0,X1)) )
| ~ spl42_77
| ~ spl42_102 ),
inference(resolution,[],[f1126,f855]) ).
fof(f6933,plain,
( spl42_507
| ~ spl42_77
| ~ spl42_100 ),
inference(avatar_split_clause,[],[f1371,f1116,f854,f6931]) ).
fof(f6931,plain,
( spl42_507
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(X1,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_507])]) ).
fof(f1371,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(X1,sK18(X0,X1)) )
| ~ spl42_77
| ~ spl42_100 ),
inference(resolution,[],[f1117,f855]) ).
fof(f6929,plain,
( spl42_506
| ~ spl42_77
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f1365,f1107,f854,f6927]) ).
fof(f6927,plain,
( spl42_506
<=> ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(X1,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_506])]) ).
fof(f1365,plain,
( ! [X0,X1] :
( ~ sP1(X0,X1)
| geq(X1,sK17(X0,X1)) )
| ~ spl42_77
| ~ spl42_98 ),
inference(resolution,[],[f1108,f855]) ).
fof(f6925,plain,
( spl42_505
| ~ spl42_77
| ~ spl42_96 ),
inference(avatar_split_clause,[],[f1358,f1098,f854,f6923]) ).
fof(f6923,plain,
( spl42_505
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(X1,sK16(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_505])]) ).
fof(f1358,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(X1,sK16(X0,X1)) )
| ~ spl42_77
| ~ spl42_96 ),
inference(resolution,[],[f1099,f855]) ).
fof(f6921,plain,
( spl42_504
| ~ spl42_77
| ~ spl42_94 ),
inference(avatar_split_clause,[],[f1352,f1089,f854,f6919]) ).
fof(f6919,plain,
( spl42_504
<=> ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(X1,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_504])]) ).
fof(f1352,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| geq(X1,sK15(X0,X1)) )
| ~ spl42_77
| ~ spl42_94 ),
inference(resolution,[],[f1090,f855]) ).
fof(f6917,plain,
( spl42_503
| ~ spl42_84
| ~ spl42_88 ),
inference(avatar_split_clause,[],[f1060,f963,f947,f6915]) ).
fof(f6915,plain,
( spl42_503
<=> ! [X4,X5] :
( ~ gt(X4,succ(X5))
| gt(pred(X4),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_503])]) ).
fof(f1060,plain,
( ! [X4,X5] :
( ~ gt(X4,succ(X5))
| gt(pred(X4),X5) )
| ~ spl42_84
| ~ spl42_88 ),
inference(resolution,[],[f964,f948]) ).
fof(f6913,plain,
( spl42_502
| ~ spl42_83
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1017,f947,f943,f6911]) ).
fof(f6911,plain,
( spl42_502
<=> ! [X2,X1] :
( gt(succ(X1),X2)
| ~ leq(succ(X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_502])]) ).
fof(f1017,plain,
( ! [X2,X1] :
( gt(succ(X1),X2)
| ~ leq(succ(X2),X1) )
| ~ spl42_83
| ~ spl42_84 ),
inference(resolution,[],[f948,f944]) ).
fof(f6909,plain,
( spl42_501
| ~ spl42_81
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f1002,f939,f935,f6907]) ).
fof(f6907,plain,
( spl42_501
<=> ! [X1] : plus(X1,n3) = succ(plus(X1,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_501])]) ).
fof(f1002,plain,
( ! [X1] : plus(X1,n3) = succ(plus(X1,n2))
| ~ spl42_81
| ~ spl42_82 ),
inference(forward_demodulation,[],[f993,f976]) ).
fof(f976,plain,
( ! [X1] : plus(n2,succ(X1)) = plus(X1,n3)
| ~ spl42_81 ),
inference(forward_demodulation,[],[f967,f448]) ).
fof(f448,plain,
! [X0] : plus(X0,n3) = succ(plus(n2,X0)),
inference(forward_demodulation,[],[f323,f321]) ).
fof(f321,plain,
! [X0] : succ(succ(X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : succ(succ(X0)) = plus(n2,X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_2_l) ).
fof(f323,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_3_r) ).
fof(f967,plain,
( ! [X1] : plus(n2,succ(X1)) = succ(plus(n2,X1))
| ~ spl42_81 ),
inference(superposition,[],[f936,f936]) ).
fof(f993,plain,
( ! [X1] : plus(n2,succ(X1)) = succ(plus(X1,n2))
| ~ spl42_81
| ~ spl42_82 ),
inference(superposition,[],[f936,f940]) ).
fof(f6905,plain,
( spl42_500
| ~ spl42_81
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f996,f939,f935,f6903]) ).
fof(f6903,plain,
( spl42_500
<=> ! [X2] : plus(succ(X2),n2) = plus(X2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_500])]) ).
fof(f996,plain,
( ! [X2] : plus(succ(X2),n2) = plus(X2,n3)
| ~ spl42_81
| ~ spl42_82 ),
inference(forward_demodulation,[],[f984,f448]) ).
fof(f984,plain,
( ! [X2] : plus(succ(X2),n2) = succ(plus(n2,X2))
| ~ spl42_81
| ~ spl42_82 ),
inference(superposition,[],[f940,f936]) ).
fof(f6901,plain,
( spl42_499
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f976,f935,f6899]) ).
fof(f6899,plain,
( spl42_499
<=> ! [X1] : plus(n2,succ(X1)) = plus(X1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_499])]) ).
fof(f6233,plain,
( spl42_498
| ~ spl42_227
| ~ spl42_412 ),
inference(avatar_split_clause,[],[f5288,f4545,f2344,f6230]) ).
fof(f2344,plain,
( spl42_227
<=> gt(n2,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_227])]) ).
fof(f4545,plain,
( spl42_412
<=> ! [X8] :
( ~ gt(n2,X8)
| leq(X8,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_412])]) ).
fof(f5288,plain,
( leq(sK13,n1)
| ~ spl42_227
| ~ spl42_412 ),
inference(resolution,[],[f4546,f2346]) ).
fof(f2346,plain,
( gt(n2,sK13)
| ~ spl42_227 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f4546,plain,
( ! [X8] :
( ~ gt(n2,X8)
| leq(X8,n1) )
| ~ spl42_412 ),
inference(avatar_component_clause,[],[f4545]) ).
fof(f6041,plain,
( spl42_438
| ~ spl42_4
| ~ spl42_411 ),
inference(avatar_split_clause,[],[f5257,f4541,f472,f4690]) ).
fof(f4690,plain,
( spl42_438
<=> gt(tptp_float_0_0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_438])]) ).
fof(f472,plain,
( spl42_4
<=> leq(sK14,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f5257,plain,
( gt(tptp_float_0_0,sK14)
| ~ spl42_4
| ~ spl42_411 ),
inference(resolution,[],[f4542,f474]) ).
fof(f474,plain,
( leq(sK14,tptp_minus_1)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f5882,plain,
( spl42_497
| ~ spl42_60
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1972,f1962,f750,f5880]) ).
fof(f5880,plain,
( spl42_497
<=> ! [X1] : gt(plus(n5,X1),plus(X1,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_497])]) ).
fof(f750,plain,
( spl42_60
<=> ! [X0] : gt(succ(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_60])]) ).
fof(f1972,plain,
( ! [X1] : gt(plus(n5,X1),plus(X1,n4))
| ~ spl42_60
| ~ spl42_194 ),
inference(superposition,[],[f751,f1963]) ).
fof(f751,plain,
( ! [X0] : gt(succ(X0),X0)
| ~ spl42_60 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f5878,plain,
( spl42_496
| ~ spl42_192
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1968,f1962,f1930,f5876]) ).
fof(f5876,plain,
( spl42_496
<=> ! [X1] : plus(X1,n5) = plus(n5,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_496])]) ).
fof(f1968,plain,
( ! [X1] : plus(X1,n5) = plus(n5,X1)
| ~ spl42_192
| ~ spl42_194 ),
inference(superposition,[],[f1963,f1931]) ).
fof(f5874,plain,
( spl42_495
| ~ spl42_81
| ~ spl42_82
| ~ spl42_147
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1952,f1930,f1329,f939,f935,f5871]) ).
fof(f5871,plain,
( spl42_495
<=> plus(n4,n3) = plus(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_495])]) ).
fof(f1952,plain,
( plus(n4,n3) = plus(n5,n2)
| ~ spl42_81
| ~ spl42_82
| ~ spl42_147
| ~ spl42_192 ),
inference(forward_demodulation,[],[f1935,f991]) ).
fof(f991,plain,
( ! [X1] : plus(n2,X1) = plus(X1,n2)
| ~ spl42_81
| ~ spl42_82 ),
inference(superposition,[],[f940,f936]) ).
fof(f1935,plain,
( plus(n2,n5) = plus(n4,n3)
| ~ spl42_147
| ~ spl42_192 ),
inference(superposition,[],[f1931,f1330]) ).
fof(f5860,plain,
( spl42_494
| ~ spl42_81
| ~ spl42_82
| ~ spl42_148
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1951,f1930,f1333,f939,f935,f5857]) ).
fof(f5857,plain,
( spl42_494
<=> plus(n3,n4) = plus(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_494])]) ).
fof(f1951,plain,
( plus(n3,n4) = plus(n5,n2)
| ~ spl42_81
| ~ spl42_82
| ~ spl42_148
| ~ spl42_192 ),
inference(forward_demodulation,[],[f1934,f991]) ).
fof(f1934,plain,
( plus(n3,n4) = plus(n2,n5)
| ~ spl42_148
| ~ spl42_192 ),
inference(superposition,[],[f1931,f1334]) ).
fof(f5855,plain,
( spl42_493
| ~ spl42_60
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f1938,f1930,f750,f5853]) ).
fof(f5853,plain,
( spl42_493
<=> ! [X0] : gt(plus(X0,n5),plus(X0,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_493])]) ).
fof(f1938,plain,
( ! [X0] : gt(plus(X0,n5),plus(X0,n4))
| ~ spl42_60
| ~ spl42_192 ),
inference(superposition,[],[f751,f1931]) ).
fof(f5851,plain,
( spl42_492
| ~ spl42_60
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1798,f1644,f750,f5849]) ).
fof(f5849,plain,
( spl42_492
<=> ! [X6,X7] :
( gt(X6,X7)
| ~ gt(X6,succ(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_492])]) ).
fof(f1798,plain,
( ! [X6,X7] :
( gt(X6,X7)
| ~ gt(X6,succ(X7)) )
| ~ spl42_60
| ~ spl42_183 ),
inference(resolution,[],[f1645,f751]) ).
fof(f5847,plain,
( spl42_491
| ~ spl42_60
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1700,f1690,f750,f5845]) ).
fof(f5845,plain,
( spl42_491
<=> ! [X1] : gt(plus(n4,X1),plus(X1,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_491])]) ).
fof(f1700,plain,
( ! [X1] : gt(plus(n4,X1),plus(X1,n3))
| ~ spl42_60
| ~ spl42_188 ),
inference(superposition,[],[f751,f1691]) ).
fof(f5843,plain,
( spl42_490
| ~ spl42_186
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f1696,f1690,f1657,f5841]) ).
fof(f1696,plain,
( ! [X1] : plus(X1,n4) = plus(n4,X1)
| ~ spl42_186
| ~ spl42_188 ),
inference(superposition,[],[f1691,f1658]) ).
fof(f5839,plain,
( spl42_489
| ~ spl42_60
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1665,f1657,f750,f5837]) ).
fof(f5837,plain,
( spl42_489
<=> ! [X0] : gt(plus(X0,n4),plus(X0,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_489])]) ).
fof(f1665,plain,
( ! [X0] : gt(plus(X0,n4),plus(X0,n3))
| ~ spl42_60
| ~ spl42_186 ),
inference(superposition,[],[f751,f1658]) ).
fof(f5835,plain,
( spl42_488
| ~ spl42_60
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1573,f1333,f750,f5833]) ).
fof(f5833,plain,
( spl42_488
<=> ! [X1] : gt(plus(n3,X1),plus(n2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_488])]) ).
fof(f1573,plain,
( ! [X1] : gt(plus(n3,X1),plus(n2,X1))
| ~ spl42_60
| ~ spl42_148 ),
inference(superposition,[],[f751,f1334]) ).
fof(f5831,plain,
( spl42_487
| ~ spl42_147
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f1571,f1333,f1329,f5829]) ).
fof(f1571,plain,
( ! [X1] : plus(X1,n3) = plus(n3,X1)
| ~ spl42_147
| ~ spl42_148 ),
inference(superposition,[],[f1334,f1330]) ).
fof(f5827,plain,
( spl42_486
| ~ spl42_60
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f1555,f1329,f750,f5825]) ).
fof(f5825,plain,
( spl42_486
<=> ! [X0] : gt(plus(X0,n3),plus(n2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_486])]) ).
fof(f1555,plain,
( ! [X0] : gt(plus(X0,n3),plus(n2,X0))
| ~ spl42_60
| ~ spl42_147 ),
inference(superposition,[],[f751,f1330]) ).
fof(f5823,plain,
( spl42_485
| ~ spl42_59
| ~ spl42_68
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1433,f1147,f800,f745,f5821]) ).
fof(f5821,plain,
( spl42_485
<=> ! [X7] :
( leq(succ(X7),tptp_float_0_0)
| ~ leq(X7,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_485])]) ).
fof(f1433,plain,
( ! [X7] :
( leq(succ(X7),tptp_float_0_0)
| ~ leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_107 ),
inference(forward_demodulation,[],[f1425,f802]) ).
fof(f1425,plain,
( ! [X7] :
( leq(succ(X7),n0)
| ~ leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_107 ),
inference(superposition,[],[f1148,f747]) ).
fof(f5819,plain,
( spl42_484
| ~ spl42_3
| ~ spl42_407 ),
inference(avatar_split_clause,[],[f5128,f4525,f467,f5816]) ).
fof(f467,plain,
( spl42_3
<=> leq(sK13,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f4525,plain,
( spl42_407
<=> ! [X9] :
( gt(n3,X9)
| ~ leq(X9,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_407])]) ).
fof(f5128,plain,
( gt(n3,sK13)
| ~ spl42_3
| ~ spl42_407 ),
inference(resolution,[],[f4526,f469]) ).
fof(f469,plain,
( leq(sK13,n2)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f4526,plain,
( ! [X9] :
( ~ leq(X9,n2)
| gt(n3,X9) )
| ~ spl42_407 ),
inference(avatar_component_clause,[],[f4525]) ).
fof(f5814,plain,
( spl42_483
| ~ spl42_58
| ~ spl42_68
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1432,f1147,f800,f740,f5812]) ).
fof(f5812,plain,
( spl42_483
<=> ! [X6] :
( ~ leq(X6,tptp_float_0_0)
| leq(succ(X6),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_483])]) ).
fof(f740,plain,
( spl42_58
<=> n1 = succ(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_58])]) ).
fof(f1432,plain,
( ! [X6] :
( ~ leq(X6,tptp_float_0_0)
| leq(succ(X6),n1) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_107 ),
inference(forward_demodulation,[],[f1424,f802]) ).
fof(f1424,plain,
( ! [X6] :
( leq(succ(X6),n1)
| ~ leq(X6,n0) )
| ~ spl42_58
| ~ spl42_107 ),
inference(superposition,[],[f1148,f742]) ).
fof(f742,plain,
( n1 = succ(n0)
| ~ spl42_58 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f5810,plain,
( spl42_482
| ~ spl42_59
| ~ spl42_68
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1431,f1147,f800,f745,f5808]) ).
fof(f5808,plain,
( spl42_482
<=> ! [X7] :
( leq(tptp_float_0_0,succ(X7))
| ~ leq(tptp_minus_1,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_482])]) ).
fof(f1431,plain,
( ! [X7] :
( leq(tptp_float_0_0,succ(X7))
| ~ leq(tptp_minus_1,X7) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_107 ),
inference(forward_demodulation,[],[f1416,f802]) ).
fof(f1416,plain,
( ! [X7] :
( leq(n0,succ(X7))
| ~ leq(tptp_minus_1,X7) )
| ~ spl42_59
| ~ spl42_107 ),
inference(superposition,[],[f1148,f747]) ).
fof(f5806,plain,
( spl42_481
| ~ spl42_58
| ~ spl42_68
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1430,f1147,f800,f740,f5804]) ).
fof(f5804,plain,
( spl42_481
<=> ! [X6] :
( ~ leq(tptp_float_0_0,X6)
| leq(n1,succ(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_481])]) ).
fof(f1430,plain,
( ! [X6] :
( ~ leq(tptp_float_0_0,X6)
| leq(n1,succ(X6)) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_107 ),
inference(forward_demodulation,[],[f1415,f802]) ).
fof(f1415,plain,
( ! [X6] :
( leq(n1,succ(X6))
| ~ leq(n0,X6) )
| ~ spl42_58
| ~ spl42_107 ),
inference(superposition,[],[f1148,f742]) ).
fof(f5802,plain,
( spl42_480
| ~ spl42_64
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1429,f1147,f769,f5800]) ).
fof(f5800,plain,
( spl42_480
<=> ! [X11] :
( leq(succ(X11),n5)
| ~ leq(X11,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_480])]) ).
fof(f1429,plain,
( ! [X11] :
( leq(succ(X11),n5)
| ~ leq(X11,n4) )
| ~ spl42_64
| ~ spl42_107 ),
inference(superposition,[],[f1148,f771]) ).
fof(f5798,plain,
( spl42_479
| ~ spl42_63
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1428,f1147,f764,f5796]) ).
fof(f5796,plain,
( spl42_479
<=> ! [X10] :
( leq(succ(X10),n4)
| ~ leq(X10,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_479])]) ).
fof(f1428,plain,
( ! [X10] :
( leq(succ(X10),n4)
| ~ leq(X10,n3) )
| ~ spl42_63
| ~ spl42_107 ),
inference(superposition,[],[f1148,f766]) ).
fof(f5794,plain,
( spl42_478
| ~ spl42_62
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1427,f1147,f759,f5792]) ).
fof(f5792,plain,
( spl42_478
<=> ! [X9] :
( leq(succ(X9),n3)
| ~ leq(X9,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_478])]) ).
fof(f1427,plain,
( ! [X9] :
( leq(succ(X9),n3)
| ~ leq(X9,n2) )
| ~ spl42_62
| ~ spl42_107 ),
inference(superposition,[],[f1148,f761]) ).
fof(f5790,plain,
( spl42_477
| ~ spl42_61
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1426,f1147,f754,f5788]) ).
fof(f5788,plain,
( spl42_477
<=> ! [X8] :
( leq(succ(X8),n2)
| ~ leq(X8,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_477])]) ).
fof(f754,plain,
( spl42_61
<=> n2 = succ(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_61])]) ).
fof(f1426,plain,
( ! [X8] :
( leq(succ(X8),n2)
| ~ leq(X8,n1) )
| ~ spl42_61
| ~ spl42_107 ),
inference(superposition,[],[f1148,f756]) ).
fof(f756,plain,
( n2 = succ(n1)
| ~ spl42_61 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f5786,plain,
( spl42_476
| ~ spl42_64
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1420,f1147,f769,f5784]) ).
fof(f5784,plain,
( spl42_476
<=> ! [X11] :
( leq(n5,succ(X11))
| ~ leq(n4,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_476])]) ).
fof(f1420,plain,
( ! [X11] :
( leq(n5,succ(X11))
| ~ leq(n4,X11) )
| ~ spl42_64
| ~ spl42_107 ),
inference(superposition,[],[f1148,f771]) ).
fof(f5782,plain,
( spl42_475
| ~ spl42_63
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1419,f1147,f764,f5780]) ).
fof(f5780,plain,
( spl42_475
<=> ! [X10] :
( leq(n4,succ(X10))
| ~ leq(n3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_475])]) ).
fof(f1419,plain,
( ! [X10] :
( leq(n4,succ(X10))
| ~ leq(n3,X10) )
| ~ spl42_63
| ~ spl42_107 ),
inference(superposition,[],[f1148,f766]) ).
fof(f5778,plain,
( spl42_474
| ~ spl42_62
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1418,f1147,f759,f5776]) ).
fof(f5776,plain,
( spl42_474
<=> ! [X9] :
( leq(n3,succ(X9))
| ~ leq(n2,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_474])]) ).
fof(f1418,plain,
( ! [X9] :
( leq(n3,succ(X9))
| ~ leq(n2,X9) )
| ~ spl42_62
| ~ spl42_107 ),
inference(superposition,[],[f1148,f761]) ).
fof(f5773,plain,
( spl42_473
| ~ spl42_80
| ~ spl42_404 ),
inference(avatar_split_clause,[],[f5061,f4512,f930,f5770]) ).
fof(f5770,plain,
( spl42_473
<=> gt(sK14,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_473])]) ).
fof(f930,plain,
( spl42_80
<=> leq(tptp_float_0_0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).
fof(f5061,plain,
( gt(sK14,tptp_minus_1)
| ~ spl42_80
| ~ spl42_404 ),
inference(resolution,[],[f4513,f932]) ).
fof(f932,plain,
( leq(tptp_float_0_0,sK14)
| ~ spl42_80 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f5768,plain,
( spl42_472
| ~ spl42_61
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f1417,f1147,f754,f5766]) ).
fof(f5766,plain,
( spl42_472
<=> ! [X8] :
( leq(n2,succ(X8))
| ~ leq(n1,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_472])]) ).
fof(f1417,plain,
( ! [X8] :
( leq(n2,succ(X8))
| ~ leq(n1,X8) )
| ~ spl42_61
| ~ spl42_107 ),
inference(superposition,[],[f1148,f756]) ).
fof(f5764,plain,
( spl42_471
| ~ spl42_59
| ~ spl42_68
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1408,f1143,f800,f745,f5762]) ).
fof(f5762,plain,
( spl42_471
<=> ! [X7] :
( ~ leq(succ(X7),tptp_float_0_0)
| leq(X7,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_471])]) ).
fof(f1408,plain,
( ! [X7] :
( ~ leq(succ(X7),tptp_float_0_0)
| leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_106 ),
inference(forward_demodulation,[],[f1400,f802]) ).
fof(f1400,plain,
( ! [X7] :
( ~ leq(succ(X7),n0)
| leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_106 ),
inference(superposition,[],[f1144,f747]) ).
fof(f5760,plain,
( spl42_470
| ~ spl42_58
| ~ spl42_68
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1407,f1143,f800,f740,f5758]) ).
fof(f5758,plain,
( spl42_470
<=> ! [X6] :
( leq(X6,tptp_float_0_0)
| ~ leq(succ(X6),n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_470])]) ).
fof(f1407,plain,
( ! [X6] :
( leq(X6,tptp_float_0_0)
| ~ leq(succ(X6),n1) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_106 ),
inference(forward_demodulation,[],[f1399,f802]) ).
fof(f1399,plain,
( ! [X6] :
( ~ leq(succ(X6),n1)
| leq(X6,n0) )
| ~ spl42_58
| ~ spl42_106 ),
inference(superposition,[],[f1144,f742]) ).
fof(f5756,plain,
( spl42_469
| ~ spl42_59
| ~ spl42_68
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1406,f1143,f800,f745,f5754]) ).
fof(f5754,plain,
( spl42_469
<=> ! [X7] :
( ~ leq(tptp_float_0_0,succ(X7))
| leq(tptp_minus_1,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_469])]) ).
fof(f1406,plain,
( ! [X7] :
( ~ leq(tptp_float_0_0,succ(X7))
| leq(tptp_minus_1,X7) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_106 ),
inference(forward_demodulation,[],[f1391,f802]) ).
fof(f1391,plain,
( ! [X7] :
( ~ leq(n0,succ(X7))
| leq(tptp_minus_1,X7) )
| ~ spl42_59
| ~ spl42_106 ),
inference(superposition,[],[f1144,f747]) ).
fof(f5752,plain,
( spl42_468
| ~ spl42_58
| ~ spl42_68
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1405,f1143,f800,f740,f5750]) ).
fof(f5750,plain,
( spl42_468
<=> ! [X6] :
( leq(tptp_float_0_0,X6)
| ~ leq(n1,succ(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_468])]) ).
fof(f1405,plain,
( ! [X6] :
( leq(tptp_float_0_0,X6)
| ~ leq(n1,succ(X6)) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_106 ),
inference(forward_demodulation,[],[f1390,f802]) ).
fof(f1390,plain,
( ! [X6] :
( ~ leq(n1,succ(X6))
| leq(n0,X6) )
| ~ spl42_58
| ~ spl42_106 ),
inference(superposition,[],[f1144,f742]) ).
fof(f5748,plain,
( spl42_467
| ~ spl42_64
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1404,f1143,f769,f5746]) ).
fof(f5746,plain,
( spl42_467
<=> ! [X11] :
( ~ leq(succ(X11),n5)
| leq(X11,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_467])]) ).
fof(f1404,plain,
( ! [X11] :
( ~ leq(succ(X11),n5)
| leq(X11,n4) )
| ~ spl42_64
| ~ spl42_106 ),
inference(superposition,[],[f1144,f771]) ).
fof(f5744,plain,
( spl42_466
| ~ spl42_63
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1403,f1143,f764,f5742]) ).
fof(f5742,plain,
( spl42_466
<=> ! [X10] :
( ~ leq(succ(X10),n4)
| leq(X10,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_466])]) ).
fof(f1403,plain,
( ! [X10] :
( ~ leq(succ(X10),n4)
| leq(X10,n3) )
| ~ spl42_63
| ~ spl42_106 ),
inference(superposition,[],[f1144,f766]) ).
fof(f5740,plain,
( spl42_465
| ~ spl42_62
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1402,f1143,f759,f5738]) ).
fof(f5738,plain,
( spl42_465
<=> ! [X9] :
( ~ leq(succ(X9),n3)
| leq(X9,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_465])]) ).
fof(f1402,plain,
( ! [X9] :
( ~ leq(succ(X9),n3)
| leq(X9,n2) )
| ~ spl42_62
| ~ spl42_106 ),
inference(superposition,[],[f1144,f761]) ).
fof(f5736,plain,
( spl42_464
| ~ spl42_61
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1401,f1143,f754,f5734]) ).
fof(f5734,plain,
( spl42_464
<=> ! [X8] :
( ~ leq(succ(X8),n2)
| leq(X8,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_464])]) ).
fof(f1401,plain,
( ! [X8] :
( ~ leq(succ(X8),n2)
| leq(X8,n1) )
| ~ spl42_61
| ~ spl42_106 ),
inference(superposition,[],[f1144,f756]) ).
fof(f5732,plain,
( spl42_463
| ~ spl42_64
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1395,f1143,f769,f5730]) ).
fof(f5730,plain,
( spl42_463
<=> ! [X11] :
( ~ leq(n5,succ(X11))
| leq(n4,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_463])]) ).
fof(f1395,plain,
( ! [X11] :
( ~ leq(n5,succ(X11))
| leq(n4,X11) )
| ~ spl42_64
| ~ spl42_106 ),
inference(superposition,[],[f1144,f771]) ).
fof(f5728,plain,
( spl42_462
| ~ spl42_78
| ~ spl42_404 ),
inference(avatar_split_clause,[],[f5060,f4512,f858,f5725]) ).
fof(f858,plain,
( spl42_78
<=> leq(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).
fof(f5060,plain,
( gt(sK13,tptp_minus_1)
| ~ spl42_78
| ~ spl42_404 ),
inference(resolution,[],[f4513,f860]) ).
fof(f860,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl42_78 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f5723,plain,
( spl42_461
| ~ spl42_63
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1394,f1143,f764,f5721]) ).
fof(f5721,plain,
( spl42_461
<=> ! [X10] :
( ~ leq(n4,succ(X10))
| leq(n3,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_461])]) ).
fof(f1394,plain,
( ! [X10] :
( ~ leq(n4,succ(X10))
| leq(n3,X10) )
| ~ spl42_63
| ~ spl42_106 ),
inference(superposition,[],[f1144,f766]) ).
fof(f5719,plain,
( spl42_460
| ~ spl42_62
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1393,f1143,f759,f5717]) ).
fof(f5717,plain,
( spl42_460
<=> ! [X9] :
( ~ leq(n3,succ(X9))
| leq(n2,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_460])]) ).
fof(f1393,plain,
( ! [X9] :
( ~ leq(n3,succ(X9))
| leq(n2,X9) )
| ~ spl42_62
| ~ spl42_106 ),
inference(superposition,[],[f1144,f761]) ).
fof(f5715,plain,
( spl42_459
| ~ spl42_61
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1392,f1143,f754,f5713]) ).
fof(f5713,plain,
( spl42_459
<=> ! [X8] :
( ~ leq(n2,succ(X8))
| leq(n1,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_459])]) ).
fof(f1392,plain,
( ! [X8] :
( ~ leq(n2,succ(X8))
| leq(n1,X8) )
| ~ spl42_61
| ~ spl42_106 ),
inference(superposition,[],[f1144,f756]) ).
fof(f5711,plain,
( spl42_458
| ~ spl42_83
| ~ spl42_106 ),
inference(avatar_split_clause,[],[f1385,f1143,f943,f5709]) ).
fof(f5709,plain,
( spl42_458
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_458])]) ).
fof(f1385,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),X1) )
| ~ spl42_83
| ~ spl42_106 ),
inference(resolution,[],[f1144,f944]) ).
fof(f5707,plain,
( spl42_457
| ~ spl42_77
| ~ spl42_88 ),
inference(avatar_split_clause,[],[f1059,f963,f854,f5705]) ).
fof(f5705,plain,
( spl42_457
<=> ! [X2,X3] :
( ~ gt(X2,X3)
| geq(pred(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_457])]) ).
fof(f1059,plain,
( ! [X2,X3] :
( ~ gt(X2,X3)
| geq(pred(X2),X3) )
| ~ spl42_77
| ~ spl42_88 ),
inference(resolution,[],[f964,f855]) ).
fof(f5703,plain,
( spl42_456
| ~ spl42_75
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1030,f951,f846,f5701]) ).
fof(f5701,plain,
( spl42_456
<=> ! [X2,X1] :
( ~ leq(X1,X2)
| lt(X1,succ(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_456])]) ).
fof(f1030,plain,
( ! [X2,X1] :
( ~ leq(X1,X2)
| lt(X1,succ(X2)) )
| ~ spl42_75
| ~ spl42_85 ),
inference(resolution,[],[f952,f847]) ).
fof(f5699,plain,
( spl42_455
| ~ spl42_66
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1018,f947,f784,f5697]) ).
fof(f5697,plain,
( spl42_455
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| gt(X1,pred(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_455])]) ).
fof(f1018,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| gt(X1,pred(X0)) )
| ~ spl42_66
| ~ spl42_84 ),
inference(superposition,[],[f948,f785]) ).
fof(f5695,plain,
( spl42_454
| ~ spl42_66
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1005,f943,f784,f5693]) ).
fof(f5693,plain,
( spl42_454
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ leq(X1,pred(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_454])]) ).
fof(f1005,plain,
( ! [X0,X1] :
( leq(X1,X0)
| ~ leq(X1,pred(X0)) )
| ~ spl42_66
| ~ spl42_83 ),
inference(superposition,[],[f944,f785]) ).
fof(f5691,plain,
( spl42_453
| ~ spl42_77
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1004,f943,f854,f5689]) ).
fof(f5689,plain,
( spl42_453
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| geq(succ(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_453])]) ).
fof(f1004,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| geq(succ(X1),X0) )
| ~ spl42_77
| ~ spl42_83 ),
inference(resolution,[],[f944,f855]) ).
fof(f5687,plain,
( spl42_452
| ~ spl42_65
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f994,f939,f780,f5685]) ).
fof(f5685,plain,
( spl42_452
<=> ! [X2] : succ(X2) = pred(plus(X2,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_452])]) ).
fof(f994,plain,
( ! [X2] : succ(X2) = pred(plus(X2,n2))
| ~ spl42_65
| ~ spl42_82 ),
inference(superposition,[],[f781,f940]) ).
fof(f5683,plain,
( spl42_445
| ~ spl42_259
| ~ spl42_264 ),
inference(avatar_split_clause,[],[f3103,f3089,f3051,f5436]) ).
fof(f3103,plain,
( gt(tptp_minus_1,tptp_float_0_0)
| ~ spl42_259
| ~ spl42_264 ),
inference(superposition,[],[f3053,f3091]) ).
fof(f3053,plain,
( gt(tptp_minus_1,sK14)
| ~ spl42_259 ),
inference(avatar_component_clause,[],[f3051]) ).
fof(f5682,plain,
( spl42_451
| ~ spl42_81
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f991,f939,f935,f5680]) ).
fof(f5678,plain,
( spl42_450
| ~ spl42_66
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f982,f939,f784,f5676]) ).
fof(f5676,plain,
( spl42_450
<=> ! [X0] : succ(X0) = plus(pred(X0),n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_450])]) ).
fof(f982,plain,
( ! [X0] : succ(X0) = plus(pred(X0),n2)
| ~ spl42_66
| ~ spl42_82 ),
inference(superposition,[],[f940,f785]) ).
fof(f5674,plain,
( spl42_449
| ~ spl42_65
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f974,f935,f780,f5672]) ).
fof(f974,plain,
( ! [X0] : succ(X0) = pred(plus(n2,X0))
| ~ spl42_65
| ~ spl42_81 ),
inference(superposition,[],[f781,f936]) ).
fof(f5669,plain,
( ~ spl42_271
| spl42_260
| ~ spl42_264 ),
inference(avatar_split_clause,[],[f5667,f3089,f3055,f3139]) ).
fof(f3055,plain,
( spl42_260
<=> tptp_minus_1 = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_260])]) ).
fof(f5667,plain,
( tptp_minus_1 != tptp_float_0_0
| spl42_260
| ~ spl42_264 ),
inference(forward_demodulation,[],[f3056,f3091]) ).
fof(f3056,plain,
( tptp_minus_1 != sK14
| spl42_260 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f5661,plain,
( spl42_448
| ~ spl42_59
| ~ spl42_68
| ~ spl42_260
| ~ spl42_264
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382
| ~ spl42_447 ),
inference(avatar_split_clause,[],[f5657,f5654,f4370,f4365,f4137,f3089,f3055,f800,f745,f5659]) ).
fof(f5654,plain,
( spl42_447
<=> ! [X0] : succ(X0) = plus(n2,pred(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_447])]) ).
fof(f5657,plain,
( ! [X0] : succ(X0) = plus(tptp_float_0_0,pred(X0))
| ~ spl42_59
| ~ spl42_68
| ~ spl42_260
| ~ spl42_264
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382
| ~ spl42_447 ),
inference(forward_demodulation,[],[f5655,f5469]) ).
fof(f5469,plain,
( tptp_float_0_0 = n2
| ~ spl42_59
| ~ spl42_68
| ~ spl42_260
| ~ spl42_264
| ~ spl42_367
| ~ spl42_381
| ~ spl42_382 ),
inference(forward_demodulation,[],[f5468,f5464]) ).
fof(f5464,plain,
( tptp_float_0_0 = n1
| ~ spl42_59
| ~ spl42_68
| ~ spl42_260
| ~ spl42_264
| ~ spl42_367 ),
inference(forward_demodulation,[],[f5463,f802]) ).
fof(f5463,plain,
( n0 = n1
| ~ spl42_59
| ~ spl42_260
| ~ spl42_264
| ~ spl42_367 ),
inference(forward_demodulation,[],[f5462,f4139]) ).
fof(f5462,plain,
( n0 = succ(tptp_float_0_0)
| ~ spl42_59
| ~ spl42_260
| ~ spl42_264 ),
inference(forward_demodulation,[],[f4659,f3091]) ).
fof(f4659,plain,
( n0 = succ(sK14)
| ~ spl42_59
| ~ spl42_260 ),
inference(superposition,[],[f747,f3057]) ).
fof(f3057,plain,
( tptp_minus_1 = sK14
| ~ spl42_260 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f5468,plain,
( n1 = n2
| ~ spl42_260
| ~ spl42_264
| ~ spl42_381
| ~ spl42_382 ),
inference(forward_demodulation,[],[f5467,f4367]) ).
fof(f5467,plain,
( n1 = plus(tptp_float_0_0,n2)
| ~ spl42_260
| ~ spl42_264
| ~ spl42_382 ),
inference(forward_demodulation,[],[f4685,f3091]) ).
fof(f4685,plain,
( n1 = plus(sK14,n2)
| ~ spl42_260
| ~ spl42_382 ),
inference(superposition,[],[f4372,f3057]) ).
fof(f5655,plain,
( ! [X0] : succ(X0) = plus(n2,pred(X0))
| ~ spl42_447 ),
inference(avatar_component_clause,[],[f5654]) ).
fof(f5656,plain,
( spl42_447
| ~ spl42_66
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f966,f935,f784,f5654]) ).
fof(f966,plain,
( ! [X0] : succ(X0) = plus(n2,pred(X0))
| ~ spl42_66
| ~ spl42_81 ),
inference(superposition,[],[f936,f785]) ).
fof(f5652,plain,
( spl42_446
| ~ spl42_83
| ~ spl42_232 ),
inference(avatar_split_clause,[],[f2484,f2451,f943,f5650]) ).
fof(f5650,plain,
( spl42_446
<=> ! [X58] :
( tptp_float_0_0 = succ(X58)
| sK13 = succ(X58)
| n4 = succ(X58)
| n3 = succ(X58)
| n1 = succ(X58)
| ~ leq(succ(X58),n4)
| ~ leq(tptp_float_0_0,X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_446])]) ).
fof(f2451,plain,
( spl42_232
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| sK13 = X0
| n4 = X0
| n3 = X0
| n1 = X0
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_232])]) ).
fof(f2484,plain,
( ! [X58] :
( tptp_float_0_0 = succ(X58)
| sK13 = succ(X58)
| n4 = succ(X58)
| n3 = succ(X58)
| n1 = succ(X58)
| ~ leq(succ(X58),n4)
| ~ leq(tptp_float_0_0,X58) )
| ~ spl42_83
| ~ spl42_232 ),
inference(resolution,[],[f2452,f944]) ).
fof(f2452,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| sK13 = X0
| n4 = X0
| n3 = X0
| n1 = X0
| ~ leq(X0,n4) )
| ~ spl42_232 ),
inference(avatar_component_clause,[],[f2451]) ).
fof(f5439,plain,
( spl42_445
| ~ spl42_259
| ~ spl42_264 ),
inference(avatar_split_clause,[],[f3103,f3089,f3051,f5436]) ).
fof(f5353,plain,
( spl42_405
| ~ spl42_4
| ~ spl42_398 ),
inference(avatar_split_clause,[],[f4992,f4488,f472,f4516]) ).
fof(f4516,plain,
( spl42_405
<=> leq(sK14,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_405])]) ).
fof(f4488,plain,
( spl42_398
<=> ! [X7] :
( leq(X7,tptp_float_0_0)
| ~ leq(X7,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_398])]) ).
fof(f4992,plain,
( leq(sK14,tptp_float_0_0)
| ~ spl42_4
| ~ spl42_398 ),
inference(resolution,[],[f4489,f474]) ).
fof(f4489,plain,
( ! [X7] :
( ~ leq(X7,tptp_minus_1)
| leq(X7,tptp_float_0_0) )
| ~ spl42_398 ),
inference(avatar_component_clause,[],[f4488]) ).
fof(f5224,plain,
( spl42_444
| ~ spl42_3
| ~ spl42_394 ),
inference(avatar_split_clause,[],[f4868,f4472,f467,f5221]) ).
fof(f4472,plain,
( spl42_394
<=> ! [X9] :
( leq(X9,n3)
| ~ leq(X9,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_394])]) ).
fof(f4868,plain,
( leq(sK13,n3)
| ~ spl42_3
| ~ spl42_394 ),
inference(resolution,[],[f4473,f469]) ).
fof(f4473,plain,
( ! [X9] :
( ~ leq(X9,n2)
| leq(X9,n3) )
| ~ spl42_394 ),
inference(avatar_component_clause,[],[f4472]) ).
fof(f4729,plain,
( spl42_443
| ~ spl42_77
| ~ spl42_284 ),
inference(avatar_split_clause,[],[f4700,f3332,f854,f4726]) ).
fof(f4726,plain,
( spl42_443
<=> geq(n1,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_443])]) ).
fof(f3332,plain,
( spl42_284
<=> leq(sK14,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_284])]) ).
fof(f4700,plain,
( geq(n1,sK14)
| ~ spl42_77
| ~ spl42_284 ),
inference(resolution,[],[f3334,f855]) ).
fof(f3334,plain,
( leq(sK14,n1)
| ~ spl42_284 ),
inference(avatar_component_clause,[],[f3332]) ).
fof(f4718,plain,
( spl42_442
| ~ spl42_40
| ~ spl42_68
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1826,f1644,f800,f652,f4716]) ).
fof(f4716,plain,
( spl42_442
<=> ! [X26] :
( gt(X26,tptp_float_0_0)
| ~ gt(X26,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_442])]) ).
fof(f652,plain,
( spl42_40
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_40])]) ).
fof(f1826,plain,
( ! [X26] :
( gt(X26,tptp_float_0_0)
| ~ gt(X26,n5) )
| ~ spl42_40
| ~ spl42_68
| ~ spl42_183 ),
inference(forward_demodulation,[],[f1815,f802]) ).
fof(f1815,plain,
( ! [X26] :
( gt(X26,n0)
| ~ gt(X26,n5) )
| ~ spl42_40
| ~ spl42_183 ),
inference(resolution,[],[f1645,f654]) ).
fof(f654,plain,
( gt(n5,n0)
| ~ spl42_40 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f4714,plain,
( spl42_441
| ~ spl42_45
| ~ spl42_68
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1825,f1644,f800,f677,f4712]) ).
fof(f4712,plain,
( spl42_441
<=> ! [X21] :
( gt(X21,tptp_float_0_0)
| ~ gt(X21,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_441])]) ).
fof(f677,plain,
( spl42_45
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_45])]) ).
fof(f1825,plain,
( ! [X21] :
( gt(X21,tptp_float_0_0)
| ~ gt(X21,n4) )
| ~ spl42_45
| ~ spl42_68
| ~ spl42_183 ),
inference(forward_demodulation,[],[f1810,f802]) ).
fof(f1810,plain,
( ! [X21] :
( gt(X21,n0)
| ~ gt(X21,n4) )
| ~ spl42_45
| ~ spl42_183 ),
inference(resolution,[],[f1645,f679]) ).
fof(f679,plain,
( gt(n4,n0)
| ~ spl42_45 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f4710,plain,
( spl42_440
| ~ spl42_49
| ~ spl42_68
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1824,f1644,f800,f697,f4708]) ).
fof(f4708,plain,
( spl42_440
<=> ! [X17] :
( gt(X17,tptp_float_0_0)
| ~ gt(X17,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_440])]) ).
fof(f697,plain,
( spl42_49
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_49])]) ).
fof(f1824,plain,
( ! [X17] :
( gt(X17,tptp_float_0_0)
| ~ gt(X17,n3) )
| ~ spl42_49
| ~ spl42_68
| ~ spl42_183 ),
inference(forward_demodulation,[],[f1806,f802]) ).
fof(f1806,plain,
( ! [X17] :
( gt(X17,n0)
| ~ gt(X17,n3) )
| ~ spl42_49
| ~ spl42_183 ),
inference(resolution,[],[f1645,f699]) ).
fof(f699,plain,
( gt(n3,n0)
| ~ spl42_49 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f4706,plain,
( spl42_439
| ~ spl42_52
| ~ spl42_68
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1823,f1644,f800,f712,f4704]) ).
fof(f4704,plain,
( spl42_439
<=> ! [X16] :
( gt(X16,tptp_float_0_0)
| ~ gt(X16,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_439])]) ).
fof(f712,plain,
( spl42_52
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_52])]) ).
fof(f1823,plain,
( ! [X16] :
( gt(X16,tptp_float_0_0)
| ~ gt(X16,n2) )
| ~ spl42_52
| ~ spl42_68
| ~ spl42_183 ),
inference(forward_demodulation,[],[f1805,f802]) ).
fof(f1805,plain,
( ! [X16] :
( gt(X16,n0)
| ~ gt(X16,n2) )
| ~ spl42_52
| ~ spl42_183 ),
inference(resolution,[],[f1645,f714]) ).
fof(f714,plain,
( gt(n2,n0)
| ~ spl42_52 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f4693,plain,
( spl42_438
| ~ spl42_260
| ~ spl42_282 ),
inference(avatar_split_clause,[],[f3324,f3320,f3055,f4690]) ).
fof(f3320,plain,
( spl42_282
<=> gt(tptp_float_0_0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_282])]) ).
fof(f3324,plain,
( gt(tptp_float_0_0,sK14)
| ~ spl42_260
| ~ spl42_282 ),
inference(forward_demodulation,[],[f3322,f3057]) ).
fof(f3322,plain,
( gt(tptp_float_0_0,tptp_minus_1)
| ~ spl42_282 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f4648,plain,
( spl42_437
| ~ spl42_183
| ~ spl42_259 ),
inference(avatar_split_clause,[],[f3059,f3051,f1644,f4646]) ).
fof(f4646,plain,
( spl42_437
<=> ! [X0] :
( gt(X0,sK14)
| ~ gt(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_437])]) ).
fof(f3059,plain,
( ! [X0] :
( gt(X0,sK14)
| ~ gt(X0,tptp_minus_1) )
| ~ spl42_183
| ~ spl42_259 ),
inference(resolution,[],[f3053,f1645]) ).
fof(f4644,plain,
( spl42_436
| ~ spl42_54
| ~ spl42_68
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1822,f1644,f800,f722,f4642]) ).
fof(f4642,plain,
( spl42_436
<=> ! [X13] :
( gt(X13,tptp_float_0_0)
| ~ gt(X13,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_436])]) ).
fof(f722,plain,
( spl42_54
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_54])]) ).
fof(f1822,plain,
( ! [X13] :
( gt(X13,tptp_float_0_0)
| ~ gt(X13,n1) )
| ~ spl42_54
| ~ spl42_68
| ~ spl42_183 ),
inference(forward_demodulation,[],[f1802,f802]) ).
fof(f1802,plain,
( ! [X13] :
( gt(X13,n0)
| ~ gt(X13,n1) )
| ~ spl42_54
| ~ spl42_183 ),
inference(resolution,[],[f1645,f724]) ).
fof(f724,plain,
( gt(n1,n0)
| ~ spl42_54 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f4640,plain,
( spl42_435
| ~ spl42_55
| ~ spl42_68
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1821,f1644,f800,f727,f4638]) ).
fof(f4638,plain,
( spl42_435
<=> ! [X11] :
( ~ gt(X11,tptp_float_0_0)
| gt(X11,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_435])]) ).
fof(f727,plain,
( spl42_55
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).
fof(f1821,plain,
( ! [X11] :
( ~ gt(X11,tptp_float_0_0)
| gt(X11,tptp_minus_1) )
| ~ spl42_55
| ~ spl42_68
| ~ spl42_183 ),
inference(forward_demodulation,[],[f1800,f802]) ).
fof(f1800,plain,
( ! [X11] :
( gt(X11,tptp_minus_1)
| ~ gt(X11,n0) )
| ~ spl42_55
| ~ spl42_183 ),
inference(resolution,[],[f1645,f729]) ).
fof(f729,plain,
( gt(n0,tptp_minus_1)
| ~ spl42_55 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f4636,plain,
( spl42_434
| ~ spl42_36
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1820,f1644,f632,f4634]) ).
fof(f632,plain,
( spl42_36
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_36])]) ).
fof(f1820,plain,
( ! [X31] :
( gt(X31,n4)
| ~ gt(X31,n5) )
| ~ spl42_36
| ~ spl42_183 ),
inference(resolution,[],[f1645,f634]) ).
fof(f634,plain,
( gt(n5,n4)
| ~ spl42_36 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f4632,plain,
( spl42_433
| ~ spl42_37
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1819,f1644,f637,f4630]) ).
fof(f4630,plain,
( spl42_433
<=> ! [X30] :
( gt(X30,n3)
| ~ gt(X30,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_433])]) ).
fof(f637,plain,
( spl42_37
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_37])]) ).
fof(f1819,plain,
( ! [X30] :
( gt(X30,n3)
| ~ gt(X30,n5) )
| ~ spl42_37
| ~ spl42_183 ),
inference(resolution,[],[f1645,f639]) ).
fof(f639,plain,
( gt(n5,n3)
| ~ spl42_37 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f4628,plain,
( spl42_432
| ~ spl42_38
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1818,f1644,f642,f4626]) ).
fof(f4626,plain,
( spl42_432
<=> ! [X29] :
( gt(X29,n2)
| ~ gt(X29,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_432])]) ).
fof(f642,plain,
( spl42_38
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_38])]) ).
fof(f1818,plain,
( ! [X29] :
( gt(X29,n2)
| ~ gt(X29,n5) )
| ~ spl42_38
| ~ spl42_183 ),
inference(resolution,[],[f1645,f644]) ).
fof(f644,plain,
( gt(n5,n2)
| ~ spl42_38 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f4624,plain,
( spl42_431
| ~ spl42_39
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1817,f1644,f647,f4622]) ).
fof(f4622,plain,
( spl42_431
<=> ! [X28] :
( gt(X28,n1)
| ~ gt(X28,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_431])]) ).
fof(f647,plain,
( spl42_39
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_39])]) ).
fof(f1817,plain,
( ! [X28] :
( gt(X28,n1)
| ~ gt(X28,n5) )
| ~ spl42_39
| ~ spl42_183 ),
inference(resolution,[],[f1645,f649]) ).
fof(f649,plain,
( gt(n5,n1)
| ~ spl42_39 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f4620,plain,
( spl42_430
| ~ spl42_35
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1816,f1644,f627,f4618]) ).
fof(f4618,plain,
( spl42_430
<=> ! [X27] :
( gt(X27,tptp_minus_1)
| ~ gt(X27,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_430])]) ).
fof(f627,plain,
( spl42_35
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_35])]) ).
fof(f1816,plain,
( ! [X27] :
( gt(X27,tptp_minus_1)
| ~ gt(X27,n5) )
| ~ spl42_35
| ~ spl42_183 ),
inference(resolution,[],[f1645,f629]) ).
fof(f629,plain,
( gt(n5,tptp_minus_1)
| ~ spl42_35 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f4616,plain,
( spl42_429
| ~ spl42_42
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1814,f1644,f662,f4614]) ).
fof(f4614,plain,
( spl42_429
<=> ! [X25] :
( gt(X25,n3)
| ~ gt(X25,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_429])]) ).
fof(f662,plain,
( spl42_42
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_42])]) ).
fof(f1814,plain,
( ! [X25] :
( gt(X25,n3)
| ~ gt(X25,n4) )
| ~ spl42_42
| ~ spl42_183 ),
inference(resolution,[],[f1645,f664]) ).
fof(f664,plain,
( gt(n4,n3)
| ~ spl42_42 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f4612,plain,
( spl42_428
| ~ spl42_43
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1813,f1644,f667,f4610]) ).
fof(f4610,plain,
( spl42_428
<=> ! [X24] :
( gt(X24,n2)
| ~ gt(X24,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_428])]) ).
fof(f667,plain,
( spl42_43
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_43])]) ).
fof(f1813,plain,
( ! [X24] :
( gt(X24,n2)
| ~ gt(X24,n4) )
| ~ spl42_43
| ~ spl42_183 ),
inference(resolution,[],[f1645,f669]) ).
fof(f669,plain,
( gt(n4,n2)
| ~ spl42_43 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f4608,plain,
( spl42_427
| ~ spl42_44
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1812,f1644,f672,f4606]) ).
fof(f4606,plain,
( spl42_427
<=> ! [X23] :
( gt(X23,n1)
| ~ gt(X23,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_427])]) ).
fof(f672,plain,
( spl42_44
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_44])]) ).
fof(f1812,plain,
( ! [X23] :
( gt(X23,n1)
| ~ gt(X23,n4) )
| ~ spl42_44
| ~ spl42_183 ),
inference(resolution,[],[f1645,f674]) ).
fof(f674,plain,
( gt(n4,n1)
| ~ spl42_44 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f4604,plain,
( spl42_426
| ~ spl42_183
| ~ spl42_227 ),
inference(avatar_split_clause,[],[f2666,f2344,f1644,f4602]) ).
fof(f4602,plain,
( spl42_426
<=> ! [X0] :
( gt(X0,sK13)
| ~ gt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_426])]) ).
fof(f2666,plain,
( ! [X0] :
( gt(X0,sK13)
| ~ gt(X0,n2) )
| ~ spl42_183
| ~ spl42_227 ),
inference(resolution,[],[f2346,f1645]) ).
fof(f4600,plain,
( spl42_425
| ~ spl42_41
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1811,f1644,f657,f4598]) ).
fof(f4598,plain,
( spl42_425
<=> ! [X22] :
( gt(X22,tptp_minus_1)
| ~ gt(X22,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_425])]) ).
fof(f657,plain,
( spl42_41
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_41])]) ).
fof(f1811,plain,
( ! [X22] :
( gt(X22,tptp_minus_1)
| ~ gt(X22,n4) )
| ~ spl42_41
| ~ spl42_183 ),
inference(resolution,[],[f1645,f659]) ).
fof(f659,plain,
( gt(n4,tptp_minus_1)
| ~ spl42_41 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f4596,plain,
( spl42_424
| ~ spl42_47
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1809,f1644,f687,f4594]) ).
fof(f4594,plain,
( spl42_424
<=> ! [X20] :
( gt(X20,n2)
| ~ gt(X20,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_424])]) ).
fof(f687,plain,
( spl42_47
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_47])]) ).
fof(f1809,plain,
( ! [X20] :
( gt(X20,n2)
| ~ gt(X20,n3) )
| ~ spl42_47
| ~ spl42_183 ),
inference(resolution,[],[f1645,f689]) ).
fof(f689,plain,
( gt(n3,n2)
| ~ spl42_47 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f4592,plain,
( spl42_423
| ~ spl42_48
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1808,f1644,f692,f4590]) ).
fof(f4590,plain,
( spl42_423
<=> ! [X19] :
( gt(X19,n1)
| ~ gt(X19,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_423])]) ).
fof(f692,plain,
( spl42_48
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_48])]) ).
fof(f1808,plain,
( ! [X19] :
( gt(X19,n1)
| ~ gt(X19,n3) )
| ~ spl42_48
| ~ spl42_183 ),
inference(resolution,[],[f1645,f694]) ).
fof(f694,plain,
( gt(n3,n1)
| ~ spl42_48 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f4588,plain,
( spl42_422
| ~ spl42_46
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1807,f1644,f682,f4586]) ).
fof(f4586,plain,
( spl42_422
<=> ! [X18] :
( gt(X18,tptp_minus_1)
| ~ gt(X18,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_422])]) ).
fof(f682,plain,
( spl42_46
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_46])]) ).
fof(f1807,plain,
( ! [X18] :
( gt(X18,tptp_minus_1)
| ~ gt(X18,n3) )
| ~ spl42_46
| ~ spl42_183 ),
inference(resolution,[],[f1645,f684]) ).
fof(f684,plain,
( gt(n3,tptp_minus_1)
| ~ spl42_46 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f4584,plain,
( spl42_421
| ~ spl42_51
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1804,f1644,f707,f4582]) ).
fof(f4582,plain,
( spl42_421
<=> ! [X15] :
( gt(X15,n1)
| ~ gt(X15,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_421])]) ).
fof(f707,plain,
( spl42_51
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_51])]) ).
fof(f1804,plain,
( ! [X15] :
( gt(X15,n1)
| ~ gt(X15,n2) )
| ~ spl42_51
| ~ spl42_183 ),
inference(resolution,[],[f1645,f709]) ).
fof(f709,plain,
( gt(n2,n1)
| ~ spl42_51 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f4580,plain,
( spl42_420
| ~ spl42_50
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1803,f1644,f702,f4578]) ).
fof(f4578,plain,
( spl42_420
<=> ! [X14] :
( gt(X14,tptp_minus_1)
| ~ gt(X14,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_420])]) ).
fof(f702,plain,
( spl42_50
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_50])]) ).
fof(f1803,plain,
( ! [X14] :
( gt(X14,tptp_minus_1)
| ~ gt(X14,n2) )
| ~ spl42_50
| ~ spl42_183 ),
inference(resolution,[],[f1645,f704]) ).
fof(f704,plain,
( gt(n2,tptp_minus_1)
| ~ spl42_50 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f4576,plain,
( spl42_419
| ~ spl42_53
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f1801,f1644,f717,f4574]) ).
fof(f4574,plain,
( spl42_419
<=> ! [X12] :
( gt(X12,tptp_minus_1)
| ~ gt(X12,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_419])]) ).
fof(f717,plain,
( spl42_53
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_53])]) ).
fof(f1801,plain,
( ! [X12] :
( gt(X12,tptp_minus_1)
| ~ gt(X12,n1) )
| ~ spl42_53
| ~ spl42_183 ),
inference(resolution,[],[f1645,f719]) ).
fof(f719,plain,
( gt(n1,tptp_minus_1)
| ~ spl42_53 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f4572,plain,
( spl42_418
| ~ spl42_64
| ~ spl42_81
| ~ spl42_148
| ~ spl42_186 ),
inference(avatar_split_clause,[],[f1680,f1657,f1333,f935,f769,f4569]) ).
fof(f4569,plain,
( spl42_418
<=> succ(n5) = plus(n3,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_418])]) ).
fof(f1680,plain,
( succ(n5) = plus(n3,n3)
| ~ spl42_64
| ~ spl42_81
| ~ spl42_148
| ~ spl42_186 ),
inference(forward_demodulation,[],[f1661,f973]) ).
fof(f973,plain,
( plus(n2,n4) = succ(n5)
| ~ spl42_64
| ~ spl42_81 ),
inference(superposition,[],[f936,f771]) ).
fof(f1661,plain,
( plus(n2,n4) = plus(n3,n3)
| ~ spl42_148
| ~ spl42_186 ),
inference(superposition,[],[f1658,f1334]) ).
fof(f4567,plain,
( spl42_417
| ~ spl42_59
| ~ spl42_68
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1055,f955,f800,f745,f4565]) ).
fof(f4565,plain,
( spl42_417
<=> ! [X7] :
( ~ gt(tptp_float_0_0,X7)
| leq(X7,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_417])]) ).
fof(f1055,plain,
( ! [X7] :
( ~ gt(tptp_float_0_0,X7)
| leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_86 ),
inference(forward_demodulation,[],[f1049,f802]) ).
fof(f1049,plain,
( ! [X7] :
( ~ gt(n0,X7)
| leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_86 ),
inference(superposition,[],[f956,f747]) ).
fof(f4563,plain,
( spl42_416
| ~ spl42_58
| ~ spl42_68
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1054,f955,f800,f740,f4561]) ).
fof(f4561,plain,
( spl42_416
<=> ! [X6] :
( leq(X6,tptp_float_0_0)
| ~ gt(n1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_416])]) ).
fof(f1054,plain,
( ! [X6] :
( leq(X6,tptp_float_0_0)
| ~ gt(n1,X6) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_86 ),
inference(forward_demodulation,[],[f1048,f802]) ).
fof(f1048,plain,
( ! [X6] :
( ~ gt(n1,X6)
| leq(X6,n0) )
| ~ spl42_58
| ~ spl42_86 ),
inference(superposition,[],[f956,f742]) ).
fof(f4559,plain,
( spl42_415
| ~ spl42_64
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1053,f955,f769,f4557]) ).
fof(f4557,plain,
( spl42_415
<=> ! [X11] :
( ~ gt(n5,X11)
| leq(X11,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_415])]) ).
fof(f1053,plain,
( ! [X11] :
( ~ gt(n5,X11)
| leq(X11,n4) )
| ~ spl42_64
| ~ spl42_86 ),
inference(superposition,[],[f956,f771]) ).
fof(f4555,plain,
( spl42_414
| ~ spl42_63
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1052,f955,f764,f4553]) ).
fof(f1052,plain,
( ! [X10] :
( ~ gt(n4,X10)
| leq(X10,n3) )
| ~ spl42_63
| ~ spl42_86 ),
inference(superposition,[],[f956,f766]) ).
fof(f4551,plain,
( spl42_413
| ~ spl42_62
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1051,f955,f759,f4549]) ).
fof(f4549,plain,
( spl42_413
<=> ! [X9] :
( ~ gt(n3,X9)
| leq(X9,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_413])]) ).
fof(f1051,plain,
( ! [X9] :
( ~ gt(n3,X9)
| leq(X9,n2) )
| ~ spl42_62
| ~ spl42_86 ),
inference(superposition,[],[f956,f761]) ).
fof(f4547,plain,
( spl42_412
| ~ spl42_61
| ~ spl42_86 ),
inference(avatar_split_clause,[],[f1050,f955,f754,f4545]) ).
fof(f1050,plain,
( ! [X8] :
( ~ gt(n2,X8)
| leq(X8,n1) )
| ~ spl42_61
| ~ spl42_86 ),
inference(superposition,[],[f956,f756]) ).
fof(f4543,plain,
( spl42_411
| ~ spl42_59
| ~ spl42_68
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1042,f951,f800,f745,f4541]) ).
fof(f1042,plain,
( ! [X7] :
( gt(tptp_float_0_0,X7)
| ~ leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_85 ),
inference(forward_demodulation,[],[f1036,f802]) ).
fof(f1036,plain,
( ! [X7] :
( gt(n0,X7)
| ~ leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_85 ),
inference(superposition,[],[f952,f747]) ).
fof(f4539,plain,
( spl42_410
| ~ spl42_58
| ~ spl42_68
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1041,f951,f800,f740,f4537]) ).
fof(f4537,plain,
( spl42_410
<=> ! [X6] :
( ~ leq(X6,tptp_float_0_0)
| gt(n1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_410])]) ).
fof(f1041,plain,
( ! [X6] :
( ~ leq(X6,tptp_float_0_0)
| gt(n1,X6) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_85 ),
inference(forward_demodulation,[],[f1035,f802]) ).
fof(f1035,plain,
( ! [X6] :
( gt(n1,X6)
| ~ leq(X6,n0) )
| ~ spl42_58
| ~ spl42_85 ),
inference(superposition,[],[f952,f742]) ).
fof(f4535,plain,
( spl42_409
| ~ spl42_64
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1040,f951,f769,f4533]) ).
fof(f4533,plain,
( spl42_409
<=> ! [X11] :
( gt(n5,X11)
| ~ leq(X11,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_409])]) ).
fof(f1040,plain,
( ! [X11] :
( gt(n5,X11)
| ~ leq(X11,n4) )
| ~ spl42_64
| ~ spl42_85 ),
inference(superposition,[],[f952,f771]) ).
fof(f4531,plain,
( spl42_408
| ~ spl42_63
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1039,f951,f764,f4529]) ).
fof(f1039,plain,
( ! [X10] :
( gt(n4,X10)
| ~ leq(X10,n3) )
| ~ spl42_63
| ~ spl42_85 ),
inference(superposition,[],[f952,f766]) ).
fof(f4527,plain,
( spl42_407
| ~ spl42_62
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1038,f951,f759,f4525]) ).
fof(f1038,plain,
( ! [X9] :
( gt(n3,X9)
| ~ leq(X9,n2) )
| ~ spl42_62
| ~ spl42_85 ),
inference(superposition,[],[f952,f761]) ).
fof(f4523,plain,
( spl42_406
| ~ spl42_61
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1037,f951,f754,f4521]) ).
fof(f4521,plain,
( spl42_406
<=> ! [X8] :
( gt(n2,X8)
| ~ leq(X8,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_406])]) ).
fof(f1037,plain,
( ! [X8] :
( gt(n2,X8)
| ~ leq(X8,n1) )
| ~ spl42_61
| ~ spl42_85 ),
inference(superposition,[],[f952,f756]) ).
fof(f4519,plain,
( spl42_264
| ~ spl42_405
| ~ spl42_80
| ~ spl42_189 ),
inference(avatar_split_clause,[],[f1891,f1720,f930,f4516,f3089]) ).
fof(f1720,plain,
( spl42_189
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).
fof(f1891,plain,
( ~ leq(sK14,tptp_float_0_0)
| tptp_float_0_0 = sK14
| ~ spl42_80
| ~ spl42_189 ),
inference(resolution,[],[f1721,f932]) ).
fof(f1721,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl42_189 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f4514,plain,
( spl42_404
| ~ spl42_59
| ~ spl42_68
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1028,f947,f800,f745,f4512]) ).
fof(f1028,plain,
( ! [X7] :
( ~ leq(tptp_float_0_0,X7)
| gt(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_84 ),
inference(forward_demodulation,[],[f1022,f802]) ).
fof(f1022,plain,
( ! [X7] :
( ~ leq(n0,X7)
| gt(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_84 ),
inference(superposition,[],[f948,f747]) ).
fof(f4510,plain,
( spl42_403
| ~ spl42_58
| ~ spl42_68
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1027,f947,f800,f740,f4508]) ).
fof(f4508,plain,
( spl42_403
<=> ! [X6] :
( gt(X6,tptp_float_0_0)
| ~ leq(n1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_403])]) ).
fof(f1027,plain,
( ! [X6] :
( gt(X6,tptp_float_0_0)
| ~ leq(n1,X6) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_84 ),
inference(forward_demodulation,[],[f1021,f802]) ).
fof(f1021,plain,
( ! [X6] :
( ~ leq(n1,X6)
| gt(X6,n0) )
| ~ spl42_58
| ~ spl42_84 ),
inference(superposition,[],[f948,f742]) ).
fof(f4506,plain,
( spl42_402
| ~ spl42_64
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1026,f947,f769,f4504]) ).
fof(f4504,plain,
( spl42_402
<=> ! [X11] :
( ~ leq(n5,X11)
| gt(X11,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_402])]) ).
fof(f1026,plain,
( ! [X11] :
( ~ leq(n5,X11)
| gt(X11,n4) )
| ~ spl42_64
| ~ spl42_84 ),
inference(superposition,[],[f948,f771]) ).
fof(f4502,plain,
( spl42_401
| ~ spl42_63
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1025,f947,f764,f4500]) ).
fof(f4500,plain,
( spl42_401
<=> ! [X10] :
( ~ leq(n4,X10)
| gt(X10,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_401])]) ).
fof(f1025,plain,
( ! [X10] :
( ~ leq(n4,X10)
| gt(X10,n3) )
| ~ spl42_63
| ~ spl42_84 ),
inference(superposition,[],[f948,f766]) ).
fof(f4498,plain,
( spl42_400
| ~ spl42_62
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1024,f947,f759,f4496]) ).
fof(f4496,plain,
( spl42_400
<=> ! [X9] :
( ~ leq(n3,X9)
| gt(X9,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_400])]) ).
fof(f1024,plain,
( ! [X9] :
( ~ leq(n3,X9)
| gt(X9,n2) )
| ~ spl42_62
| ~ spl42_84 ),
inference(superposition,[],[f948,f761]) ).
fof(f4494,plain,
( spl42_399
| ~ spl42_61
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f1023,f947,f754,f4492]) ).
fof(f4492,plain,
( spl42_399
<=> ! [X8] :
( ~ leq(n2,X8)
| gt(X8,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_399])]) ).
fof(f1023,plain,
( ! [X8] :
( ~ leq(n2,X8)
| gt(X8,n1) )
| ~ spl42_61
| ~ spl42_84 ),
inference(superposition,[],[f948,f756]) ).
fof(f4490,plain,
( spl42_398
| ~ spl42_59
| ~ spl42_68
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1015,f943,f800,f745,f4488]) ).
fof(f1015,plain,
( ! [X7] :
( leq(X7,tptp_float_0_0)
| ~ leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_68
| ~ spl42_83 ),
inference(forward_demodulation,[],[f1009,f802]) ).
fof(f1009,plain,
( ! [X7] :
( leq(X7,n0)
| ~ leq(X7,tptp_minus_1) )
| ~ spl42_59
| ~ spl42_83 ),
inference(superposition,[],[f944,f747]) ).
fof(f4486,plain,
( spl42_397
| ~ spl42_58
| ~ spl42_68
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1014,f943,f800,f740,f4484]) ).
fof(f4484,plain,
( spl42_397
<=> ! [X6] :
( ~ leq(X6,tptp_float_0_0)
| leq(X6,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_397])]) ).
fof(f1014,plain,
( ! [X6] :
( ~ leq(X6,tptp_float_0_0)
| leq(X6,n1) )
| ~ spl42_58
| ~ spl42_68
| ~ spl42_83 ),
inference(forward_demodulation,[],[f1008,f802]) ).
fof(f1008,plain,
( ! [X6] :
( leq(X6,n1)
| ~ leq(X6,n0) )
| ~ spl42_58
| ~ spl42_83 ),
inference(superposition,[],[f944,f742]) ).
fof(f4482,plain,
( spl42_396
| ~ spl42_64
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1013,f943,f769,f4480]) ).
fof(f4480,plain,
( spl42_396
<=> ! [X11] :
( leq(X11,n5)
| ~ leq(X11,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_396])]) ).
fof(f1013,plain,
( ! [X11] :
( leq(X11,n5)
| ~ leq(X11,n4) )
| ~ spl42_64
| ~ spl42_83 ),
inference(superposition,[],[f944,f771]) ).
fof(f4478,plain,
( spl42_395
| ~ spl42_63
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1012,f943,f764,f4476]) ).
fof(f1012,plain,
( ! [X10] :
( leq(X10,n4)
| ~ leq(X10,n3) )
| ~ spl42_63
| ~ spl42_83 ),
inference(superposition,[],[f944,f766]) ).
fof(f4474,plain,
( spl42_394
| ~ spl42_62
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1011,f943,f759,f4472]) ).
fof(f1011,plain,
( ! [X9] :
( leq(X9,n3)
| ~ leq(X9,n2) )
| ~ spl42_62
| ~ spl42_83 ),
inference(superposition,[],[f944,f761]) ).
fof(f4470,plain,
( spl42_393
| ~ spl42_61
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f1010,f943,f754,f4468]) ).
fof(f4468,plain,
( spl42_393
<=> ! [X8] :
( leq(X8,n2)
| ~ leq(X8,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_393])]) ).
fof(f1010,plain,
( ! [X8] :
( leq(X8,n2)
| ~ leq(X8,n1) )
| ~ spl42_61
| ~ spl42_83 ),
inference(superposition,[],[f944,f756]) ).
fof(f4466,plain,
( spl42_392
| ~ spl42_60
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f995,f939,f750,f4464]) ).
fof(f4464,plain,
( spl42_392
<=> ! [X3] : gt(plus(X3,n2),succ(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_392])]) ).
fof(f995,plain,
( ! [X3] : gt(plus(X3,n2),succ(X3))
| ~ spl42_60
| ~ spl42_82 ),
inference(superposition,[],[f751,f940]) ).
fof(f4462,plain,
( spl42_391
| ~ spl42_64
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f990,f939,f769,f4459]) ).
fof(f4459,plain,
( spl42_391
<=> succ(n5) = plus(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_391])]) ).
fof(f990,plain,
( succ(n5) = plus(n4,n2)
| ~ spl42_64
| ~ spl42_82 ),
inference(superposition,[],[f940,f771]) ).
fof(f4457,plain,
( spl42_390
| ~ spl42_60
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f975,f935,f750,f4455]) ).
fof(f975,plain,
( ! [X1] : gt(plus(n2,X1),succ(X1))
| ~ spl42_60
| ~ spl42_81 ),
inference(superposition,[],[f751,f936]) ).
fof(f4453,plain,
( spl42_389
| ~ spl42_64
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f973,f935,f769,f4450]) ).
fof(f4450,plain,
( spl42_389
<=> plus(n2,n4) = succ(n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_389])]) ).
fof(f4416,plain,
( spl42_262
| ~ spl42_388
| ~ spl42_78
| ~ spl42_189 ),
inference(avatar_split_clause,[],[f1890,f1720,f858,f4413,f3068]) ).
fof(f3068,plain,
( spl42_262
<=> tptp_float_0_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).
fof(f4413,plain,
( spl42_388
<=> leq(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_388])]) ).
fof(f1890,plain,
( ~ leq(sK13,tptp_float_0_0)
| tptp_float_0_0 = sK13
| ~ spl42_78
| ~ spl42_189 ),
inference(resolution,[],[f1721,f860]) ).
fof(f4411,plain,
( spl42_387
| ~ spl42_2
| ~ spl42_68
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f2665,f2597,f800,f462,f4409]) ).
fof(f4409,plain,
( spl42_387
<=> ! [X35,X33,X34,X36,X32] :
( a_select3(tptp_const_array2(dim(X33,X34),dim(tptp_float_0_0,X32),X35),X36,sK14) = X35
| ~ leq(sK14,X32)
| ~ leq(X36,X34)
| ~ leq(X33,X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_387])]) ).
fof(f462,plain,
( spl42_2
<=> leq(n0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f2597,plain,
( spl42_240
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_240])]) ).
fof(f2665,plain,
( ! [X36,X34,X35,X32,X33] :
( a_select3(tptp_const_array2(dim(X33,X34),dim(tptp_float_0_0,X32),X35),X36,sK14) = X35
| ~ leq(sK14,X32)
| ~ leq(X36,X34)
| ~ leq(X33,X36) )
| ~ spl42_2
| ~ spl42_68
| ~ spl42_240 ),
inference(forward_demodulation,[],[f2605,f802]) ).
fof(f2605,plain,
( ! [X36,X34,X35,X32,X33] :
( ~ leq(sK14,X32)
| a_select3(tptp_const_array2(dim(X33,X34),dim(n0,X32),X35),X36,sK14) = X35
| ~ leq(X36,X34)
| ~ leq(X33,X36) )
| ~ spl42_2
| ~ spl42_240 ),
inference(resolution,[],[f2598,f464]) ).
fof(f464,plain,
( leq(n0,sK14)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f2598,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ leq(X4,X3)
| ~ leq(X3,X5)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X0,X2)
| ~ leq(X1,X0) )
| ~ spl42_240 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f4407,plain,
( spl42_386
| ~ spl42_1
| ~ spl42_68
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f2664,f2597,f800,f457,f4405]) ).
fof(f4405,plain,
( spl42_386
<=> ! [X31,X29,X27,X28,X30] :
( a_select3(tptp_const_array2(dim(X28,X29),dim(tptp_float_0_0,X27),X30),X31,sK13) = X30
| ~ leq(sK13,X27)
| ~ leq(X31,X29)
| ~ leq(X28,X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_386])]) ).
fof(f457,plain,
( spl42_1
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f2664,plain,
( ! [X31,X28,X29,X27,X30] :
( a_select3(tptp_const_array2(dim(X28,X29),dim(tptp_float_0_0,X27),X30),X31,sK13) = X30
| ~ leq(sK13,X27)
| ~ leq(X31,X29)
| ~ leq(X28,X31) )
| ~ spl42_1
| ~ spl42_68
| ~ spl42_240 ),
inference(forward_demodulation,[],[f2604,f802]) ).
fof(f2604,plain,
( ! [X31,X28,X29,X27,X30] :
( ~ leq(sK13,X27)
| a_select3(tptp_const_array2(dim(X28,X29),dim(n0,X27),X30),X31,sK13) = X30
| ~ leq(X31,X29)
| ~ leq(X28,X31) )
| ~ spl42_1
| ~ spl42_240 ),
inference(resolution,[],[f2598,f459]) ).
fof(f459,plain,
( leq(n0,sK13)
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f4403,plain,
( spl42_385
| ~ spl42_4
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f2637,f2597,f472,f4401]) ).
fof(f4401,plain,
( spl42_385
<=> ! [X253,X254,X252,X255,X256] :
( ~ leq(tptp_minus_1,X252)
| a_select3(tptp_const_array2(dim(X253,X254),dim(sK14,X252),X255),X256,tptp_minus_1) = X255
| ~ leq(X256,X254)
| ~ leq(X253,X256) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_385])]) ).
fof(f2637,plain,
( ! [X253,X254,X256,X255,X252] :
( ~ leq(tptp_minus_1,X252)
| a_select3(tptp_const_array2(dim(X253,X254),dim(sK14,X252),X255),X256,tptp_minus_1) = X255
| ~ leq(X256,X254)
| ~ leq(X253,X256) )
| ~ spl42_4
| ~ spl42_240 ),
inference(resolution,[],[f2598,f474]) ).
fof(f4399,plain,
( spl42_384
| ~ spl42_3
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f2636,f2597,f467,f4397]) ).
fof(f4397,plain,
( spl42_384
<=> ! [X251,X247,X249,X250,X248] :
( ~ leq(n2,X247)
| a_select3(tptp_const_array2(dim(X248,X249),dim(sK13,X247),X250),X251,n2) = X250
| ~ leq(X251,X249)
| ~ leq(X248,X251) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_384])]) ).
fof(f2636,plain,
( ! [X250,X251,X248,X249,X247] :
( ~ leq(n2,X247)
| a_select3(tptp_const_array2(dim(X248,X249),dim(sK13,X247),X250),X251,n2) = X250
| ~ leq(X251,X249)
| ~ leq(X248,X251) )
| ~ spl42_3
| ~ spl42_240 ),
inference(resolution,[],[f2598,f469]) ).
fof(f4378,plain,
( spl42_383
| ~ spl42_63
| ~ spl42_64
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f1001,f939,f769,f764,f4375]) ).
fof(f4375,plain,
( spl42_383
<=> n5 = plus(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_383])]) ).
fof(f1001,plain,
( n5 = plus(n3,n2)
| ~ spl42_63
| ~ spl42_64
| ~ spl42_82 ),
inference(forward_demodulation,[],[f989,f771]) ).
fof(f989,plain,
( succ(n4) = plus(n3,n2)
| ~ spl42_63
| ~ spl42_82 ),
inference(superposition,[],[f940,f766]) ).
fof(f4373,plain,
( spl42_382
| ~ spl42_58
| ~ spl42_59
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f999,f939,f745,f740,f4370]) ).
fof(f999,plain,
( n1 = plus(tptp_minus_1,n2)
| ~ spl42_58
| ~ spl42_59
| ~ spl42_82 ),
inference(forward_demodulation,[],[f986,f742]) ).
fof(f986,plain,
( succ(n0) = plus(tptp_minus_1,n2)
| ~ spl42_59
| ~ spl42_82 ),
inference(superposition,[],[f940,f747]) ).
fof(f4368,plain,
( spl42_381
| ~ spl42_58
| ~ spl42_61
| ~ spl42_68
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f998,f939,f800,f754,f740,f4365]) ).
fof(f998,plain,
( n2 = plus(tptp_float_0_0,n2)
| ~ spl42_58
| ~ spl42_61
| ~ spl42_68
| ~ spl42_82 ),
inference(forward_demodulation,[],[f997,f756]) ).
fof(f997,plain,
( succ(n1) = plus(tptp_float_0_0,n2)
| ~ spl42_58
| ~ spl42_68
| ~ spl42_82 ),
inference(forward_demodulation,[],[f985,f802]) ).
fof(f985,plain,
( succ(n1) = plus(n0,n2)
| ~ spl42_58
| ~ spl42_82 ),
inference(superposition,[],[f940,f742]) ).
fof(f4363,plain,
( spl42_380
| ~ spl42_63
| ~ spl42_64
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f981,f935,f769,f764,f4360]) ).
fof(f4360,plain,
( spl42_380
<=> n5 = plus(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_380])]) ).
fof(f981,plain,
( n5 = plus(n2,n3)
| ~ spl42_63
| ~ spl42_64
| ~ spl42_81 ),
inference(forward_demodulation,[],[f972,f771]) ).
fof(f972,plain,
( succ(n4) = plus(n2,n3)
| ~ spl42_63
| ~ spl42_81 ),
inference(superposition,[],[f936,f766]) ).
fof(f4358,plain,
( spl42_379
| ~ spl42_62
| ~ spl42_63
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f980,f935,f764,f759,f4355]) ).
fof(f4355,plain,
( spl42_379
<=> n4 = plus(n2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_379])]) ).
fof(f980,plain,
( n4 = plus(n2,n2)
| ~ spl42_62
| ~ spl42_63
| ~ spl42_81 ),
inference(forward_demodulation,[],[f971,f766]) ).
fof(f971,plain,
( succ(n3) = plus(n2,n2)
| ~ spl42_62
| ~ spl42_81 ),
inference(superposition,[],[f936,f761]) ).
fof(f4353,plain,
( spl42_378
| ~ spl42_58
| ~ spl42_59
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f979,f935,f745,f740,f4350]) ).
fof(f4350,plain,
( spl42_378
<=> n1 = plus(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_378])]) ).
fof(f979,plain,
( n1 = plus(n2,tptp_minus_1)
| ~ spl42_58
| ~ spl42_59
| ~ spl42_81 ),
inference(forward_demodulation,[],[f969,f742]) ).
fof(f969,plain,
( succ(n0) = plus(n2,tptp_minus_1)
| ~ spl42_59
| ~ spl42_81 ),
inference(superposition,[],[f936,f747]) ).
fof(f4348,plain,
( spl42_377
| ~ spl42_58
| ~ spl42_61
| ~ spl42_68
| ~ spl42_81 ),
inference(avatar_split_clause,[],[f978,f935,f800,f754,f740,f4345]) ).
fof(f978,plain,
( n2 = plus(n2,tptp_float_0_0)
| ~ spl42_58
| ~ spl42_61
| ~ spl42_68
| ~ spl42_81 ),
inference(forward_demodulation,[],[f977,f756]) ).
fof(f977,plain,
( succ(n1) = plus(n2,tptp_float_0_0)
| ~ spl42_58
| ~ spl42_68
| ~ spl42_81 ),
inference(forward_demodulation,[],[f968,f802]) ).
fof(f968,plain,
( succ(n1) = plus(n2,n0)
| ~ spl42_58
| ~ spl42_81 ),
inference(superposition,[],[f936,f742]) ).
fof(f4339,plain,
( spl42_376
| ~ spl42_32
| ~ spl42_68
| ~ spl42_234 ),
inference(avatar_split_clause,[],[f2553,f2492,f800,f612,f4337]) ).
fof(f4337,plain,
( spl42_376
<=> ! [X10,X11,X9,X8] :
( tptp_float_0_0 != X10
| a_select3(tptp_update3(u_defuse,X9,X10,X11),n2,tptp_float_0_0) = X8
| use != X8
| n2 = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_376])]) ).
fof(f612,plain,
( spl42_32
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_32])]) ).
fof(f2492,plain,
( spl42_234
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).
fof(f2553,plain,
( ! [X10,X11,X8,X9] :
( tptp_float_0_0 != X10
| a_select3(tptp_update3(u_defuse,X9,X10,X11),n2,tptp_float_0_0) = X8
| use != X8
| n2 = X9 )
| ~ spl42_32
| ~ spl42_68
| ~ spl42_234 ),
inference(forward_demodulation,[],[f2552,f802]) ).
fof(f2552,plain,
( ! [X10,X11,X8,X9] :
( a_select3(tptp_update3(u_defuse,X9,X10,X11),n2,tptp_float_0_0) = X8
| use != X8
| n0 != X10
| n2 = X9 )
| ~ spl42_32
| ~ spl42_68
| ~ spl42_234 ),
inference(forward_demodulation,[],[f2544,f802]) ).
fof(f2544,plain,
( ! [X10,X11,X8,X9] :
( use != X8
| a_select3(tptp_update3(u_defuse,X9,X10,X11),n2,n0) = X8
| n0 != X10
| n2 = X9 )
| ~ spl42_32
| ~ spl42_234 ),
inference(superposition,[],[f2493,f614]) ).
fof(f614,plain,
( use = a_select3(u_defuse,n2,n0)
| ~ spl42_32 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f2493,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(X4,X2,X3) != X5
| a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| X1 != X3
| X0 = X2 )
| ~ spl42_234 ),
inference(avatar_component_clause,[],[f2492]) ).
fof(f4335,plain,
( spl42_375
| ~ spl42_31
| ~ spl42_68
| ~ spl42_234 ),
inference(avatar_split_clause,[],[f2551,f2492,f800,f607,f4333]) ).
fof(f4333,plain,
( spl42_375
<=> ! [X5,X4,X7,X6] :
( tptp_float_0_0 != X6
| a_select3(tptp_update3(u_defuse,X5,X6,X7),n1,tptp_float_0_0) = X4
| use != X4
| n1 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_375])]) ).
fof(f607,plain,
( spl42_31
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_31])]) ).
fof(f2551,plain,
( ! [X6,X7,X4,X5] :
( tptp_float_0_0 != X6
| a_select3(tptp_update3(u_defuse,X5,X6,X7),n1,tptp_float_0_0) = X4
| use != X4
| n1 = X5 )
| ~ spl42_31
| ~ spl42_68
| ~ spl42_234 ),
inference(forward_demodulation,[],[f2550,f802]) ).
fof(f2550,plain,
( ! [X6,X7,X4,X5] :
( a_select3(tptp_update3(u_defuse,X5,X6,X7),n1,tptp_float_0_0) = X4
| use != X4
| n0 != X6
| n1 = X5 )
| ~ spl42_31
| ~ spl42_68
| ~ spl42_234 ),
inference(forward_demodulation,[],[f2543,f802]) ).
fof(f2543,plain,
( ! [X6,X7,X4,X5] :
( use != X4
| a_select3(tptp_update3(u_defuse,X5,X6,X7),n1,n0) = X4
| n0 != X6
| n1 = X5 )
| ~ spl42_31
| ~ spl42_234 ),
inference(superposition,[],[f2493,f609]) ).
fof(f609,plain,
( use = a_select3(u_defuse,n1,n0)
| ~ spl42_31 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f4331,plain,
( spl42_374
| ~ spl42_30
| ~ spl42_68
| ~ spl42_234 ),
inference(avatar_split_clause,[],[f2549,f2492,f800,f602,f4329]) ).
fof(f4329,plain,
( spl42_374
<=> ! [X0,X3,X2,X1] :
( tptp_float_0_0 = X1
| tptp_float_0_0 != X2
| a_select3(tptp_update3(u_defuse,X1,X2,X3),tptp_float_0_0,tptp_float_0_0) = X0
| use != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_374])]) ).
fof(f602,plain,
( spl42_30
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).
fof(f2549,plain,
( ! [X2,X3,X0,X1] :
( tptp_float_0_0 = X1
| tptp_float_0_0 != X2
| a_select3(tptp_update3(u_defuse,X1,X2,X3),tptp_float_0_0,tptp_float_0_0) = X0
| use != X0 )
| ~ spl42_30
| ~ spl42_68
| ~ spl42_234 ),
inference(forward_demodulation,[],[f2548,f802]) ).
fof(f2548,plain,
( ! [X2,X3,X0,X1] :
( tptp_float_0_0 != X2
| a_select3(tptp_update3(u_defuse,X1,X2,X3),tptp_float_0_0,tptp_float_0_0) = X0
| use != X0
| n0 = X1 )
| ~ spl42_30
| ~ spl42_68
| ~ spl42_234 ),
inference(forward_demodulation,[],[f2547,f802]) ).
fof(f2547,plain,
( ! [X2,X3,X0,X1] :
( a_select3(tptp_update3(u_defuse,X1,X2,X3),tptp_float_0_0,tptp_float_0_0) = X0
| use != X0
| n0 != X2
| n0 = X1 )
| ~ spl42_30
| ~ spl42_68
| ~ spl42_234 ),
inference(forward_demodulation,[],[f2542,f802]) ).
fof(f2542,plain,
( ! [X2,X3,X0,X1] :
( use != X0
| a_select3(tptp_update3(u_defuse,X1,X2,X3),n0,n0) = X0
| n0 != X2
| n0 = X1 )
| ~ spl42_30
| ~ spl42_234 ),
inference(superposition,[],[f2493,f604]) ).
fof(f604,plain,
( use = a_select3(u_defuse,n0,n0)
| ~ spl42_30 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f4167,plain,
( spl42_373
| ~ spl42_68
| ~ spl42_361 ),
inference(avatar_split_clause,[],[f4111,f4107,f800,f4164]) ).
fof(f4164,plain,
( spl42_373
<=> tptp_minus_1 = pred(tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_373])]) ).
fof(f4107,plain,
( spl42_361
<=> tptp_minus_1 = pred(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_361])]) ).
fof(f4111,plain,
( tptp_minus_1 = pred(tptp_float_0_0)
| ~ spl42_68
| ~ spl42_361 ),
inference(forward_demodulation,[],[f4109,f802]) ).
fof(f4109,plain,
( tptp_minus_1 = pred(n0)
| ~ spl42_361 ),
inference(avatar_component_clause,[],[f4107]) ).
fof(f4162,plain,
( spl42_372
| ~ spl42_68
| ~ spl42_360 ),
inference(avatar_split_clause,[],[f4105,f4101,f800,f4159]) ).
fof(f4159,plain,
( spl42_372
<=> tptp_float_0_0 = pred(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_372])]) ).
fof(f4101,plain,
( spl42_360
<=> n0 = pred(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_360])]) ).
fof(f4105,plain,
( tptp_float_0_0 = pred(n1)
| ~ spl42_68
| ~ spl42_360 ),
inference(forward_demodulation,[],[f4103,f802]) ).
fof(f4103,plain,
( n0 = pred(n1)
| ~ spl42_360 ),
inference(avatar_component_clause,[],[f4101]) ).
fof(f4157,plain,
( spl42_371
| ~ spl42_56
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f1029,f951,f732,f4155]) ).
fof(f4155,plain,
( spl42_371
<=> ! [X0] : ~ leq(succ(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_371])]) ).
fof(f1029,plain,
( ! [X0] : ~ leq(succ(X0),X0)
| ~ spl42_56
| ~ spl42_85 ),
inference(resolution,[],[f952,f733]) ).
fof(f4153,plain,
( spl42_370
| ~ spl42_60
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f894,f846,f750,f4151]) ).
fof(f4151,plain,
( spl42_370
<=> ! [X0] : lt(X0,succ(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_370])]) ).
fof(f894,plain,
( ! [X0] : lt(X0,succ(X0))
| ~ spl42_60
| ~ spl42_75 ),
inference(resolution,[],[f847,f751]) ).
fof(f4149,plain,
( spl42_369
| ~ spl42_60
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f866,f838,f750,f4147]) ).
fof(f866,plain,
( ! [X0] : leq(X0,succ(X0))
| ~ spl42_60
| ~ spl42_73 ),
inference(resolution,[],[f839,f751]) ).
fof(f4145,plain,
( spl42_368
| ~ spl42_77
| ~ spl42_339 ),
inference(avatar_split_clause,[],[f4067,f3976,f854,f4142]) ).
fof(f4142,plain,
( spl42_368
<=> geq(sK13,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_368])]) ).
fof(f3976,plain,
( spl42_339
<=> leq(tptp_minus_1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_339])]) ).
fof(f4067,plain,
( geq(sK13,tptp_minus_1)
| ~ spl42_77
| ~ spl42_339 ),
inference(resolution,[],[f3978,f855]) ).
fof(f3978,plain,
( leq(tptp_minus_1,sK13)
| ~ spl42_339 ),
inference(avatar_component_clause,[],[f3976]) ).
fof(f4140,plain,
( spl42_367
| ~ spl42_58
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f819,f800,f740,f4137]) ).
fof(f819,plain,
( n1 = succ(tptp_float_0_0)
| ~ spl42_58
| ~ spl42_68 ),
inference(superposition,[],[f742,f802]) ).
fof(f4135,plain,
( spl42_366
| ~ spl42_60
| ~ spl42_66 ),
inference(avatar_split_clause,[],[f793,f784,f750,f4133]) ).
fof(f4133,plain,
( spl42_366
<=> ! [X1] : gt(X1,pred(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_366])]) ).
fof(f793,plain,
( ! [X1] : gt(X1,pred(X1))
| ~ spl42_60
| ~ spl42_66 ),
inference(superposition,[],[f751,f785]) ).
fof(f4131,plain,
( spl42_365
| ~ spl42_64
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f792,f780,f769,f4128]) ).
fof(f4128,plain,
( spl42_365
<=> n4 = pred(n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_365])]) ).
fof(f792,plain,
( n4 = pred(n5)
| ~ spl42_64
| ~ spl42_65 ),
inference(superposition,[],[f781,f771]) ).
fof(f4126,plain,
( spl42_364
| ~ spl42_63
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f791,f780,f764,f4123]) ).
fof(f791,plain,
( n3 = pred(n4)
| ~ spl42_63
| ~ spl42_65 ),
inference(superposition,[],[f781,f766]) ).
fof(f4121,plain,
( spl42_363
| ~ spl42_62
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f790,f780,f759,f4118]) ).
fof(f790,plain,
( n2 = pred(n3)
| ~ spl42_62
| ~ spl42_65 ),
inference(superposition,[],[f781,f761]) ).
fof(f4116,plain,
( spl42_362
| ~ spl42_61
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f789,f780,f754,f4113]) ).
fof(f789,plain,
( n1 = pred(n2)
| ~ spl42_61
| ~ spl42_65 ),
inference(superposition,[],[f781,f756]) ).
fof(f4110,plain,
( spl42_361
| ~ spl42_59
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f788,f780,f745,f4107]) ).
fof(f788,plain,
( tptp_minus_1 = pred(n0)
| ~ spl42_59
| ~ spl42_65 ),
inference(superposition,[],[f781,f747]) ).
fof(f4104,plain,
( spl42_360
| ~ spl42_58
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f787,f780,f740,f4101]) ).
fof(f787,plain,
( n0 = pred(n1)
| ~ spl42_58
| ~ spl42_65 ),
inference(superposition,[],[f781,f742]) ).
fof(f4097,plain,
( spl42_359
| ~ spl42_77
| ~ spl42_332 ),
inference(avatar_split_clause,[],[f4026,f3943,f854,f4094]) ).
fof(f4094,plain,
( spl42_359
<=> geq(sK14,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_359])]) ).
fof(f3943,plain,
( spl42_332
<=> leq(tptp_minus_1,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_332])]) ).
fof(f4026,plain,
( geq(sK14,tptp_minus_1)
| ~ spl42_77
| ~ spl42_332 ),
inference(resolution,[],[f3945,f855]) ).
fof(f3945,plain,
( leq(tptp_minus_1,sK14)
| ~ spl42_332 ),
inference(avatar_component_clause,[],[f3943]) ).
fof(f4082,plain,
( spl42_358
| ~ spl42_77
| ~ spl42_326 ),
inference(avatar_split_clause,[],[f3931,f3646,f854,f4079]) ).
fof(f4079,plain,
( spl42_358
<=> geq(tptp_minus_1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_358])]) ).
fof(f3931,plain,
( geq(tptp_minus_1,tptp_float_0_0)
| ~ spl42_77
| ~ spl42_326 ),
inference(resolution,[],[f3648,f855]) ).
fof(f4058,plain,
( spl42_357
| ~ spl42_24
| ~ spl42_68
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2227,f2187,f800,f572,f4056]) ).
fof(f4056,plain,
( spl42_357
<=> ! [X70,X69,X71] :
( tptp_float_0_0 = X70
| a_select2(tptp_update2(xinit_noise_defuse,X70,X71),tptp_float_0_0) = X69
| use != X69 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_357])]) ).
fof(f572,plain,
( spl42_24
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f2187,plain,
( spl42_207
<=> ! [X2,X4,X0,X3,X1] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).
fof(f2227,plain,
( ! [X70,X71,X69] :
( tptp_float_0_0 = X70
| a_select2(tptp_update2(xinit_noise_defuse,X70,X71),tptp_float_0_0) = X69
| use != X69 )
| ~ spl42_24
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2226,f802]) ).
fof(f2226,plain,
( ! [X70,X71,X69] :
( a_select2(tptp_update2(xinit_noise_defuse,X70,X71),tptp_float_0_0) = X69
| use != X69
| n0 = X70 )
| ~ spl42_24
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2212,f802]) ).
fof(f2212,plain,
( ! [X70,X71,X69] :
( use != X69
| a_select2(tptp_update2(xinit_noise_defuse,X70,X71),n0) = X69
| n0 = X70 )
| ~ spl42_24
| ~ spl42_207 ),
inference(superposition,[],[f2188,f574]) ).
fof(f574,plain,
( use = a_select2(xinit_noise_defuse,n0)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f2188,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select2(X2,X1) != X3
| a_select2(tptp_update2(X2,X0,X4),X1) = X3
| X0 = X1 )
| ~ spl42_207 ),
inference(avatar_component_clause,[],[f2187]) ).
fof(f4054,plain,
( spl42_356
| ~ spl42_18
| ~ spl42_68
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2225,f2187,f800,f542,f4052]) ).
fof(f4052,plain,
( spl42_356
<=> ! [X50,X48,X49] :
( tptp_float_0_0 = X49
| a_select2(tptp_update2(xinit_mean_defuse,X49,X50),tptp_float_0_0) = X48
| use != X48 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_356])]) ).
fof(f542,plain,
( spl42_18
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_18])]) ).
fof(f2225,plain,
( ! [X50,X48,X49] :
( tptp_float_0_0 = X49
| a_select2(tptp_update2(xinit_mean_defuse,X49,X50),tptp_float_0_0) = X48
| use != X48 )
| ~ spl42_18
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2224,f802]) ).
fof(f2224,plain,
( ! [X50,X48,X49] :
( a_select2(tptp_update2(xinit_mean_defuse,X49,X50),tptp_float_0_0) = X48
| use != X48
| n0 = X49 )
| ~ spl42_18
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2205,f802]) ).
fof(f2205,plain,
( ! [X50,X48,X49] :
( use != X48
| a_select2(tptp_update2(xinit_mean_defuse,X49,X50),n0) = X48
| n0 = X49 )
| ~ spl42_18
| ~ spl42_207 ),
inference(superposition,[],[f2188,f544]) ).
fof(f544,plain,
( use = a_select2(xinit_mean_defuse,n0)
| ~ spl42_18 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f4050,plain,
( spl42_355
| ~ spl42_9
| ~ spl42_68
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2223,f2187,f800,f497,f4048]) ).
fof(f4048,plain,
( spl42_355
<=> ! [X20,X18,X19] :
( tptp_float_0_0 = X19
| a_select2(tptp_update2(sigma_defuse,X19,X20),tptp_float_0_0) = X18
| use != X18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_355])]) ).
fof(f497,plain,
( spl42_9
<=> use = a_select2(sigma_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_9])]) ).
fof(f2223,plain,
( ! [X18,X19,X20] :
( tptp_float_0_0 = X19
| a_select2(tptp_update2(sigma_defuse,X19,X20),tptp_float_0_0) = X18
| use != X18 )
| ~ spl42_9
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2222,f802]) ).
fof(f2222,plain,
( ! [X18,X19,X20] :
( a_select2(tptp_update2(sigma_defuse,X19,X20),tptp_float_0_0) = X18
| use != X18
| n0 = X19 )
| ~ spl42_9
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2195,f802]) ).
fof(f2195,plain,
( ! [X18,X19,X20] :
( use != X18
| a_select2(tptp_update2(sigma_defuse,X19,X20),n0) = X18
| n0 = X19 )
| ~ spl42_9
| ~ spl42_207 ),
inference(superposition,[],[f2188,f499]) ).
fof(f499,plain,
( use = a_select2(sigma_defuse,n0)
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f4046,plain,
( spl42_354
| ~ spl42_6
| ~ spl42_68
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2221,f2187,f800,f482,f4044]) ).
fof(f4044,plain,
( spl42_354
<=> ! [X6,X7,X8] :
( tptp_float_0_0 = X7
| a_select2(tptp_update2(rho_defuse,X7,X8),tptp_float_0_0) = X6
| use != X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_354])]) ).
fof(f482,plain,
( spl42_6
<=> use = a_select2(rho_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).
fof(f2221,plain,
( ! [X8,X6,X7] :
( tptp_float_0_0 = X7
| a_select2(tptp_update2(rho_defuse,X7,X8),tptp_float_0_0) = X6
| use != X6 )
| ~ spl42_6
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2220,f802]) ).
fof(f2220,plain,
( ! [X8,X6,X7] :
( a_select2(tptp_update2(rho_defuse,X7,X8),tptp_float_0_0) = X6
| use != X6
| n0 = X7 )
| ~ spl42_6
| ~ spl42_68
| ~ spl42_207 ),
inference(forward_demodulation,[],[f2191,f802]) ).
fof(f2191,plain,
( ! [X8,X6,X7] :
( use != X6
| a_select2(tptp_update2(rho_defuse,X7,X8),n0) = X6
| n0 = X7 )
| ~ spl42_6
| ~ spl42_207 ),
inference(superposition,[],[f2188,f484]) ).
fof(f484,plain,
( use = a_select2(rho_defuse,n0)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f4042,plain,
( spl42_353
| ~ spl42_29
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2218,f2187,f597,f4040]) ).
fof(f4040,plain,
( spl42_353
<=> ! [X89,X87,X88] :
( use != X87
| a_select2(tptp_update2(xinit_noise_defuse,X88,X89),n5) = X87
| n5 = X88 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_353])]) ).
fof(f597,plain,
( spl42_29
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_29])]) ).
fof(f2218,plain,
( ! [X88,X89,X87] :
( use != X87
| a_select2(tptp_update2(xinit_noise_defuse,X88,X89),n5) = X87
| n5 = X88 )
| ~ spl42_29
| ~ spl42_207 ),
inference(superposition,[],[f2188,f599]) ).
fof(f599,plain,
( use = a_select2(xinit_noise_defuse,n5)
| ~ spl42_29 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f4038,plain,
( spl42_352
| ~ spl42_28
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2217,f2187,f592,f4036]) ).
fof(f4036,plain,
( spl42_352
<=> ! [X86,X84,X85] :
( use != X84
| a_select2(tptp_update2(xinit_noise_defuse,X85,X86),n4) = X84
| n4 = X85 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_352])]) ).
fof(f592,plain,
( spl42_28
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).
fof(f2217,plain,
( ! [X86,X84,X85] :
( use != X84
| a_select2(tptp_update2(xinit_noise_defuse,X85,X86),n4) = X84
| n4 = X85 )
| ~ spl42_28
| ~ spl42_207 ),
inference(superposition,[],[f2188,f594]) ).
fof(f594,plain,
( use = a_select2(xinit_noise_defuse,n4)
| ~ spl42_28 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f4034,plain,
( spl42_351
| ~ spl42_27
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2216,f2187,f587,f4032]) ).
fof(f4032,plain,
( spl42_351
<=> ! [X82,X81,X83] :
( use != X81
| a_select2(tptp_update2(xinit_noise_defuse,X82,X83),n3) = X81
| n3 = X82 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_351])]) ).
fof(f587,plain,
( spl42_27
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).
fof(f2216,plain,
( ! [X82,X83,X81] :
( use != X81
| a_select2(tptp_update2(xinit_noise_defuse,X82,X83),n3) = X81
| n3 = X82 )
| ~ spl42_27
| ~ spl42_207 ),
inference(superposition,[],[f2188,f589]) ).
fof(f589,plain,
( use = a_select2(xinit_noise_defuse,n3)
| ~ spl42_27 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f4030,plain,
( spl42_350
| ~ spl42_26
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2215,f2187,f582,f4028]) ).
fof(f4028,plain,
( spl42_350
<=> ! [X80,X78,X79] :
( use != X78
| a_select2(tptp_update2(xinit_noise_defuse,X79,X80),n2) = X78
| n2 = X79 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_350])]) ).
fof(f582,plain,
( spl42_26
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).
fof(f2215,plain,
( ! [X80,X78,X79] :
( use != X78
| a_select2(tptp_update2(xinit_noise_defuse,X79,X80),n2) = X78
| n2 = X79 )
| ~ spl42_26
| ~ spl42_207 ),
inference(superposition,[],[f2188,f584]) ).
fof(f584,plain,
( use = a_select2(xinit_noise_defuse,n2)
| ~ spl42_26 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f4019,plain,
( spl42_349
| ~ spl42_25
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2214,f2187,f577,f4017]) ).
fof(f4017,plain,
( spl42_349
<=> ! [X77,X76,X75] :
( use != X75
| a_select2(tptp_update2(xinit_noise_defuse,X76,X77),n1) = X75
| n1 = X76 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_349])]) ).
fof(f577,plain,
( spl42_25
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).
fof(f2214,plain,
( ! [X76,X77,X75] :
( use != X75
| a_select2(tptp_update2(xinit_noise_defuse,X76,X77),n1) = X75
| n1 = X76 )
| ~ spl42_25
| ~ spl42_207 ),
inference(superposition,[],[f2188,f579]) ).
fof(f579,plain,
( use = a_select2(xinit_noise_defuse,n1)
| ~ spl42_25 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f4015,plain,
( spl42_348
| ~ spl42_23
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2211,f2187,f567,f4013]) ).
fof(f4013,plain,
( spl42_348
<=> ! [X66,X67,X68] :
( use != X66
| a_select2(tptp_update2(xinit_mean_defuse,X67,X68),n5) = X66
| n5 = X67 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_348])]) ).
fof(f567,plain,
( spl42_23
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_23])]) ).
fof(f2211,plain,
( ! [X68,X66,X67] :
( use != X66
| a_select2(tptp_update2(xinit_mean_defuse,X67,X68),n5) = X66
| n5 = X67 )
| ~ spl42_23
| ~ spl42_207 ),
inference(superposition,[],[f2188,f569]) ).
fof(f569,plain,
( use = a_select2(xinit_mean_defuse,n5)
| ~ spl42_23 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f4011,plain,
( spl42_347
| ~ spl42_22
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2210,f2187,f562,f4009]) ).
fof(f4009,plain,
( spl42_347
<=> ! [X64,X65,X63] :
( use != X63
| a_select2(tptp_update2(xinit_mean_defuse,X64,X65),n4) = X63
| n4 = X64 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_347])]) ).
fof(f562,plain,
( spl42_22
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_22])]) ).
fof(f2210,plain,
( ! [X65,X63,X64] :
( use != X63
| a_select2(tptp_update2(xinit_mean_defuse,X64,X65),n4) = X63
| n4 = X64 )
| ~ spl42_22
| ~ spl42_207 ),
inference(superposition,[],[f2188,f564]) ).
fof(f564,plain,
( use = a_select2(xinit_mean_defuse,n4)
| ~ spl42_22 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f4007,plain,
( spl42_346
| ~ spl42_21
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2209,f2187,f557,f4005]) ).
fof(f4005,plain,
( spl42_346
<=> ! [X61,X60,X62] :
( use != X60
| a_select2(tptp_update2(xinit_mean_defuse,X61,X62),n3) = X60
| n3 = X61 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_346])]) ).
fof(f557,plain,
( spl42_21
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).
fof(f2209,plain,
( ! [X62,X60,X61] :
( use != X60
| a_select2(tptp_update2(xinit_mean_defuse,X61,X62),n3) = X60
| n3 = X61 )
| ~ spl42_21
| ~ spl42_207 ),
inference(superposition,[],[f2188,f559]) ).
fof(f559,plain,
( use = a_select2(xinit_mean_defuse,n3)
| ~ spl42_21 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f4003,plain,
( spl42_345
| ~ spl42_20
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2208,f2187,f552,f4001]) ).
fof(f4001,plain,
( spl42_345
<=> ! [X57,X59,X58] :
( use != X57
| a_select2(tptp_update2(xinit_mean_defuse,X58,X59),n2) = X57
| n2 = X58 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_345])]) ).
fof(f552,plain,
( spl42_20
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_20])]) ).
fof(f2208,plain,
( ! [X58,X59,X57] :
( use != X57
| a_select2(tptp_update2(xinit_mean_defuse,X58,X59),n2) = X57
| n2 = X58 )
| ~ spl42_20
| ~ spl42_207 ),
inference(superposition,[],[f2188,f554]) ).
fof(f554,plain,
( use = a_select2(xinit_mean_defuse,n2)
| ~ spl42_20 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f3999,plain,
( spl42_344
| ~ spl42_19
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2207,f2187,f547,f3997]) ).
fof(f3997,plain,
( spl42_344
<=> ! [X54,X55,X56] :
( use != X54
| a_select2(tptp_update2(xinit_mean_defuse,X55,X56),n1) = X54
| n1 = X55 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_344])]) ).
fof(f547,plain,
( spl42_19
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_19])]) ).
fof(f2207,plain,
( ! [X56,X54,X55] :
( use != X54
| a_select2(tptp_update2(xinit_mean_defuse,X55,X56),n1) = X54
| n1 = X55 )
| ~ spl42_19
| ~ spl42_207 ),
inference(superposition,[],[f2188,f549]) ).
fof(f549,plain,
( use = a_select2(xinit_mean_defuse,n1)
| ~ spl42_19 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f3995,plain,
( spl42_343
| ~ spl42_17
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2204,f2187,f537,f3993]) ).
fof(f3993,plain,
( spl42_343
<=> ! [X45,X46,X47] :
( use != X45
| a_select2(tptp_update2(xinit_defuse,X46,X47),n5) = X45
| n5 = X46 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_343])]) ).
fof(f537,plain,
( spl42_17
<=> use = a_select2(xinit_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).
fof(f2204,plain,
( ! [X46,X47,X45] :
( use != X45
| a_select2(tptp_update2(xinit_defuse,X46,X47),n5) = X45
| n5 = X46 )
| ~ spl42_17
| ~ spl42_207 ),
inference(superposition,[],[f2188,f539]) ).
fof(f539,plain,
( use = a_select2(xinit_defuse,n5)
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f3991,plain,
( spl42_342
| ~ spl42_16
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2203,f2187,f532,f3989]) ).
fof(f3989,plain,
( spl42_342
<=> ! [X44,X43,X42] :
( use != X42
| a_select2(tptp_update2(xinit_defuse,X43,X44),n4) = X42
| n4 = X43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_342])]) ).
fof(f532,plain,
( spl42_16
<=> use = a_select2(xinit_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f2203,plain,
( ! [X44,X42,X43] :
( use != X42
| a_select2(tptp_update2(xinit_defuse,X43,X44),n4) = X42
| n4 = X43 )
| ~ spl42_16
| ~ spl42_207 ),
inference(superposition,[],[f2188,f534]) ).
fof(f534,plain,
( use = a_select2(xinit_defuse,n4)
| ~ spl42_16 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f3987,plain,
( spl42_341
| ~ spl42_15
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2202,f2187,f527,f3985]) ).
fof(f3985,plain,
( spl42_341
<=> ! [X41,X40,X39] :
( use != X39
| a_select2(tptp_update2(xinit_defuse,X40,X41),n3) = X39
| n3 = X40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_341])]) ).
fof(f527,plain,
( spl42_15
<=> use = a_select2(xinit_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_15])]) ).
fof(f2202,plain,
( ! [X40,X41,X39] :
( use != X39
| a_select2(tptp_update2(xinit_defuse,X40,X41),n3) = X39
| n3 = X40 )
| ~ spl42_15
| ~ spl42_207 ),
inference(superposition,[],[f2188,f529]) ).
fof(f529,plain,
( use = a_select2(xinit_defuse,n3)
| ~ spl42_15 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f3983,plain,
( spl42_340
| ~ spl42_14
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2201,f2187,f522,f3981]) ).
fof(f3981,plain,
( spl42_340
<=> ! [X38,X36,X37] :
( use != X36
| a_select2(tptp_update2(sigma_defuse,X37,X38),n5) = X36
| n5 = X37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_340])]) ).
fof(f522,plain,
( spl42_14
<=> use = a_select2(sigma_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_14])]) ).
fof(f2201,plain,
( ! [X38,X36,X37] :
( use != X36
| a_select2(tptp_update2(sigma_defuse,X37,X38),n5) = X36
| n5 = X37 )
| ~ spl42_14
| ~ spl42_207 ),
inference(superposition,[],[f2188,f524]) ).
fof(f524,plain,
( use = a_select2(sigma_defuse,n5)
| ~ spl42_14 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f3979,plain,
( spl42_339
| ~ spl42_268
| ~ spl42_299 ),
inference(avatar_split_clause,[],[f3779,f3445,f3120,f3976]) ).
fof(f3120,plain,
( spl42_268
<=> ! [X11] :
( ~ leq(X11,tptp_float_0_0)
| leq(X11,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_268])]) ).
fof(f3445,plain,
( spl42_299
<=> leq(tptp_minus_1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_299])]) ).
fof(f3779,plain,
( leq(tptp_minus_1,sK13)
| ~ spl42_268
| ~ spl42_299 ),
inference(resolution,[],[f3447,f3121]) ).
fof(f3121,plain,
( ! [X11] :
( ~ leq(X11,tptp_float_0_0)
| leq(X11,sK13) )
| ~ spl42_268 ),
inference(avatar_component_clause,[],[f3120]) ).
fof(f3447,plain,
( leq(tptp_minus_1,tptp_float_0_0)
| ~ spl42_299 ),
inference(avatar_component_clause,[],[f3445]) ).
fof(f3974,plain,
( spl42_338
| ~ spl42_13
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2200,f2187,f517,f3972]) ).
fof(f3972,plain,
( spl42_338
<=> ! [X34,X35,X33] :
( use != X33
| a_select2(tptp_update2(sigma_defuse,X34,X35),n4) = X33
| n4 = X34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_338])]) ).
fof(f517,plain,
( spl42_13
<=> use = a_select2(sigma_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_13])]) ).
fof(f2200,plain,
( ! [X34,X35,X33] :
( use != X33
| a_select2(tptp_update2(sigma_defuse,X34,X35),n4) = X33
| n4 = X34 )
| ~ spl42_13
| ~ spl42_207 ),
inference(superposition,[],[f2188,f519]) ).
fof(f519,plain,
( use = a_select2(sigma_defuse,n4)
| ~ spl42_13 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f3970,plain,
( spl42_337
| ~ spl42_12
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2199,f2187,f512,f3968]) ).
fof(f3968,plain,
( spl42_337
<=> ! [X32,X30,X31] :
( use != X30
| a_select2(tptp_update2(sigma_defuse,X31,X32),n3) = X30
| n3 = X31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_337])]) ).
fof(f512,plain,
( spl42_12
<=> use = a_select2(sigma_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).
fof(f2199,plain,
( ! [X31,X32,X30] :
( use != X30
| a_select2(tptp_update2(sigma_defuse,X31,X32),n3) = X30
| n3 = X31 )
| ~ spl42_12
| ~ spl42_207 ),
inference(superposition,[],[f2188,f514]) ).
fof(f514,plain,
( use = a_select2(sigma_defuse,n3)
| ~ spl42_12 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f3966,plain,
( spl42_336
| ~ spl42_11
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2198,f2187,f507,f3964]) ).
fof(f3964,plain,
( spl42_336
<=> ! [X29,X27,X28] :
( use != X27
| a_select2(tptp_update2(sigma_defuse,X28,X29),n2) = X27
| n2 = X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_336])]) ).
fof(f507,plain,
( spl42_11
<=> use = a_select2(sigma_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).
fof(f2198,plain,
( ! [X28,X29,X27] :
( use != X27
| a_select2(tptp_update2(sigma_defuse,X28,X29),n2) = X27
| n2 = X28 )
| ~ spl42_11
| ~ spl42_207 ),
inference(superposition,[],[f2188,f509]) ).
fof(f509,plain,
( use = a_select2(sigma_defuse,n2)
| ~ spl42_11 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f3962,plain,
( spl42_335
| ~ spl42_10
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2197,f2187,f502,f3960]) ).
fof(f3960,plain,
( spl42_335
<=> ! [X25,X24,X26] :
( use != X24
| a_select2(tptp_update2(sigma_defuse,X25,X26),n1) = X24
| n1 = X25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_335])]) ).
fof(f502,plain,
( spl42_10
<=> use = a_select2(sigma_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_10])]) ).
fof(f2197,plain,
( ! [X26,X24,X25] :
( use != X24
| a_select2(tptp_update2(sigma_defuse,X25,X26),n1) = X24
| n1 = X25 )
| ~ spl42_10
| ~ spl42_207 ),
inference(superposition,[],[f2188,f504]) ).
fof(f504,plain,
( use = a_select2(sigma_defuse,n1)
| ~ spl42_10 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f3958,plain,
( spl42_334
| ~ spl42_8
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2194,f2187,f492,f3956]) ).
fof(f3956,plain,
( spl42_334
<=> ! [X16,X17,X15] :
( use != X15
| a_select2(tptp_update2(rho_defuse,X16,X17),n2) = X15
| n2 = X16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_334])]) ).
fof(f492,plain,
( spl42_8
<=> use = a_select2(rho_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).
fof(f2194,plain,
( ! [X16,X17,X15] :
( use != X15
| a_select2(tptp_update2(rho_defuse,X16,X17),n2) = X15
| n2 = X16 )
| ~ spl42_8
| ~ spl42_207 ),
inference(superposition,[],[f2188,f494]) ).
fof(f494,plain,
( use = a_select2(rho_defuse,n2)
| ~ spl42_8 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f3954,plain,
( spl42_333
| ~ spl42_7
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f2193,f2187,f487,f3952]) ).
fof(f3952,plain,
( spl42_333
<=> ! [X13,X12,X14] :
( use != X12
| a_select2(tptp_update2(rho_defuse,X13,X14),n1) = X12
| n1 = X13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_333])]) ).
fof(f487,plain,
( spl42_7
<=> use = a_select2(rho_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_7])]) ).
fof(f2193,plain,
( ! [X14,X12,X13] :
( use != X12
| a_select2(tptp_update2(rho_defuse,X13,X14),n1) = X12
| n1 = X13 )
| ~ spl42_7
| ~ spl42_207 ),
inference(superposition,[],[f2188,f489]) ).
fof(f489,plain,
( use = a_select2(rho_defuse,n1)
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f3946,plain,
( spl42_332
| ~ spl42_269
| ~ spl42_299 ),
inference(avatar_split_clause,[],[f3778,f3445,f3125,f3943]) ).
fof(f3125,plain,
( spl42_269
<=> ! [X12] :
( ~ leq(X12,tptp_float_0_0)
| leq(X12,sK14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_269])]) ).
fof(f3778,plain,
( leq(tptp_minus_1,sK14)
| ~ spl42_269
| ~ spl42_299 ),
inference(resolution,[],[f3447,f3126]) ).
fof(f3126,plain,
( ! [X12] :
( ~ leq(X12,tptp_float_0_0)
| leq(X12,sK14) )
| ~ spl42_269 ),
inference(avatar_component_clause,[],[f3125]) ).
fof(f3673,plain,
( spl42_331
| ~ spl42_57
| ~ spl42_77 ),
inference(avatar_split_clause,[],[f922,f854,f736,f3671]) ).
fof(f3671,plain,
( spl42_331
<=> ! [X0] : geq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_331])]) ).
fof(f736,plain,
( spl42_57
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_57])]) ).
fof(f922,plain,
( ! [X0] : geq(X0,X0)
| ~ spl42_57
| ~ spl42_77 ),
inference(resolution,[],[f855,f737]) ).
fof(f737,plain,
( ! [X0] : leq(X0,X0)
| ~ spl42_57 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f3669,plain,
( spl42_330
| ~ spl42_40
| ~ spl42_68
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f921,f846,f800,f652,f3666]) ).
fof(f3666,plain,
( spl42_330
<=> lt(tptp_float_0_0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_330])]) ).
fof(f921,plain,
( lt(tptp_float_0_0,n5)
| ~ spl42_40
| ~ spl42_68
| ~ spl42_75 ),
inference(forward_demodulation,[],[f910,f802]) ).
fof(f910,plain,
( lt(n0,n5)
| ~ spl42_40
| ~ spl42_75 ),
inference(resolution,[],[f847,f654]) ).
fof(f3664,plain,
( spl42_329
| ~ spl42_45
| ~ spl42_68
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f920,f846,f800,f677,f3661]) ).
fof(f3661,plain,
( spl42_329
<=> lt(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_329])]) ).
fof(f920,plain,
( lt(tptp_float_0_0,n4)
| ~ spl42_45
| ~ spl42_68
| ~ spl42_75 ),
inference(forward_demodulation,[],[f905,f802]) ).
fof(f905,plain,
( lt(n0,n4)
| ~ spl42_45
| ~ spl42_75 ),
inference(resolution,[],[f847,f679]) ).
fof(f3659,plain,
( spl42_328
| ~ spl42_49
| ~ spl42_68
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f919,f846,f800,f697,f3656]) ).
fof(f3656,plain,
( spl42_328
<=> lt(tptp_float_0_0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_328])]) ).
fof(f919,plain,
( lt(tptp_float_0_0,n3)
| ~ spl42_49
| ~ spl42_68
| ~ spl42_75 ),
inference(forward_demodulation,[],[f901,f802]) ).
fof(f901,plain,
( lt(n0,n3)
| ~ spl42_49
| ~ spl42_75 ),
inference(resolution,[],[f847,f699]) ).
fof(f3654,plain,
( spl42_327
| ~ spl42_52
| ~ spl42_68
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f918,f846,f800,f712,f3651]) ).
fof(f3651,plain,
( spl42_327
<=> lt(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_327])]) ).
fof(f918,plain,
( lt(tptp_float_0_0,n2)
| ~ spl42_52
| ~ spl42_68
| ~ spl42_75 ),
inference(forward_demodulation,[],[f900,f802]) ).
fof(f900,plain,
( lt(n0,n2)
| ~ spl42_52
| ~ spl42_75 ),
inference(resolution,[],[f847,f714]) ).
fof(f3649,plain,
( spl42_326
| ~ spl42_2
| ~ spl42_68
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f3369,f3115,f800,f462,f3646]) ).
fof(f3115,plain,
( spl42_267
<=> ! [X94] :
( leq(X94,tptp_minus_1)
| ~ leq(X94,sK14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_267])]) ).
fof(f3369,plain,
( leq(tptp_float_0_0,tptp_minus_1)
| ~ spl42_2
| ~ spl42_68
| ~ spl42_267 ),
inference(forward_demodulation,[],[f3340,f802]) ).
fof(f3340,plain,
( leq(n0,tptp_minus_1)
| ~ spl42_2
| ~ spl42_267 ),
inference(resolution,[],[f3116,f464]) ).
fof(f3116,plain,
( ! [X94] :
( ~ leq(X94,sK14)
| leq(X94,tptp_minus_1) )
| ~ spl42_267 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f3644,plain,
( spl42_325
| ~ spl42_54
| ~ spl42_68
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f917,f846,f800,f722,f3641]) ).
fof(f3641,plain,
( spl42_325
<=> lt(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_325])]) ).
fof(f917,plain,
( lt(tptp_float_0_0,n1)
| ~ spl42_54
| ~ spl42_68
| ~ spl42_75 ),
inference(forward_demodulation,[],[f897,f802]) ).
fof(f897,plain,
( lt(n0,n1)
| ~ spl42_54
| ~ spl42_75 ),
inference(resolution,[],[f847,f724]) ).
fof(f3639,plain,
( spl42_324
| ~ spl42_55
| ~ spl42_68
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f916,f846,f800,f727,f3636]) ).
fof(f3636,plain,
( spl42_324
<=> lt(tptp_minus_1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_324])]) ).
fof(f916,plain,
( lt(tptp_minus_1,tptp_float_0_0)
| ~ spl42_55
| ~ spl42_68
| ~ spl42_75 ),
inference(forward_demodulation,[],[f895,f802]) ).
fof(f895,plain,
( lt(tptp_minus_1,n0)
| ~ spl42_55
| ~ spl42_75 ),
inference(resolution,[],[f847,f729]) ).
fof(f3634,plain,
( spl42_323
| ~ spl42_36
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f915,f846,f632,f3631]) ).
fof(f3631,plain,
( spl42_323
<=> lt(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_323])]) ).
fof(f915,plain,
( lt(n4,n5)
| ~ spl42_36
| ~ spl42_75 ),
inference(resolution,[],[f847,f634]) ).
fof(f3629,plain,
( spl42_322
| ~ spl42_37
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f914,f846,f637,f3626]) ).
fof(f3626,plain,
( spl42_322
<=> lt(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_322])]) ).
fof(f914,plain,
( lt(n3,n5)
| ~ spl42_37
| ~ spl42_75 ),
inference(resolution,[],[f847,f639]) ).
fof(f3624,plain,
( spl42_321
| ~ spl42_38
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f913,f846,f642,f3621]) ).
fof(f3621,plain,
( spl42_321
<=> lt(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_321])]) ).
fof(f913,plain,
( lt(n2,n5)
| ~ spl42_38
| ~ spl42_75 ),
inference(resolution,[],[f847,f644]) ).
fof(f3619,plain,
( spl42_320
| ~ spl42_39
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f912,f846,f647,f3616]) ).
fof(f3616,plain,
( spl42_320
<=> lt(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_320])]) ).
fof(f912,plain,
( lt(n1,n5)
| ~ spl42_39
| ~ spl42_75 ),
inference(resolution,[],[f847,f649]) ).
fof(f3614,plain,
( spl42_319
| ~ spl42_35
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f911,f846,f627,f3611]) ).
fof(f3611,plain,
( spl42_319
<=> lt(tptp_minus_1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_319])]) ).
fof(f911,plain,
( lt(tptp_minus_1,n5)
| ~ spl42_35
| ~ spl42_75 ),
inference(resolution,[],[f847,f629]) ).
fof(f3609,plain,
( spl42_318
| ~ spl42_42
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f909,f846,f662,f3606]) ).
fof(f3606,plain,
( spl42_318
<=> lt(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_318])]) ).
fof(f909,plain,
( lt(n3,n4)
| ~ spl42_42
| ~ spl42_75 ),
inference(resolution,[],[f847,f664]) ).
fof(f3601,plain,
( spl42_317
| ~ spl42_93
| ~ spl42_262 ),
inference(avatar_split_clause,[],[f3080,f3068,f1084,f3598]) ).
fof(f3598,plain,
( spl42_317
<=> geq(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_317])]) ).
fof(f1084,plain,
( spl42_93
<=> geq(n2,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).
fof(f3080,plain,
( geq(n2,tptp_float_0_0)
| ~ spl42_93
| ~ spl42_262 ),
inference(superposition,[],[f1086,f3070]) ).
fof(f3070,plain,
( tptp_float_0_0 = sK13
| ~ spl42_262 ),
inference(avatar_component_clause,[],[f3068]) ).
fof(f1086,plain,
( geq(n2,sK13)
| ~ spl42_93 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f3596,plain,
( spl42_316
| ~ spl42_43
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f908,f846,f667,f3593]) ).
fof(f3593,plain,
( spl42_316
<=> lt(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_316])]) ).
fof(f908,plain,
( lt(n2,n4)
| ~ spl42_43
| ~ spl42_75 ),
inference(resolution,[],[f847,f669]) ).
fof(f3591,plain,
( spl42_315
| ~ spl42_44
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f907,f846,f672,f3588]) ).
fof(f3588,plain,
( spl42_315
<=> lt(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_315])]) ).
fof(f907,plain,
( lt(n1,n4)
| ~ spl42_44
| ~ spl42_75 ),
inference(resolution,[],[f847,f674]) ).
fof(f3586,plain,
( spl42_314
| ~ spl42_41
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f906,f846,f657,f3583]) ).
fof(f3583,plain,
( spl42_314
<=> lt(tptp_minus_1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_314])]) ).
fof(f906,plain,
( lt(tptp_minus_1,n4)
| ~ spl42_41
| ~ spl42_75 ),
inference(resolution,[],[f847,f659]) ).
fof(f3581,plain,
( spl42_313
| ~ spl42_47
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f904,f846,f687,f3578]) ).
fof(f3578,plain,
( spl42_313
<=> lt(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_313])]) ).
fof(f904,plain,
( lt(n2,n3)
| ~ spl42_47
| ~ spl42_75 ),
inference(resolution,[],[f847,f689]) ).
fof(f3576,plain,
( spl42_312
| ~ spl42_48
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f903,f846,f692,f3573]) ).
fof(f3573,plain,
( spl42_312
<=> lt(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_312])]) ).
fof(f903,plain,
( lt(n1,n3)
| ~ spl42_48
| ~ spl42_75 ),
inference(resolution,[],[f847,f694]) ).
fof(f3571,plain,
( spl42_311
| ~ spl42_46
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f902,f846,f682,f3568]) ).
fof(f3568,plain,
( spl42_311
<=> lt(tptp_minus_1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_311])]) ).
fof(f902,plain,
( lt(tptp_minus_1,n3)
| ~ spl42_46
| ~ spl42_75 ),
inference(resolution,[],[f847,f684]) ).
fof(f3566,plain,
( spl42_310
| ~ spl42_51
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f899,f846,f707,f3563]) ).
fof(f3563,plain,
( spl42_310
<=> lt(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_310])]) ).
fof(f899,plain,
( lt(n1,n2)
| ~ spl42_51
| ~ spl42_75 ),
inference(resolution,[],[f847,f709]) ).
fof(f3516,plain,
( spl42_309
| ~ spl42_75
| ~ spl42_263 ),
inference(avatar_split_clause,[],[f3174,f3072,f846,f3513]) ).
fof(f3513,plain,
( spl42_309
<=> lt(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_309])]) ).
fof(f3072,plain,
( spl42_263
<=> gt(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_263])]) ).
fof(f3174,plain,
( lt(tptp_float_0_0,sK13)
| ~ spl42_75
| ~ spl42_263 ),
inference(resolution,[],[f3074,f847]) ).
fof(f3074,plain,
( gt(sK13,tptp_float_0_0)
| ~ spl42_263 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f3511,plain,
( spl42_308
| ~ spl42_50
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f898,f846,f702,f3508]) ).
fof(f3508,plain,
( spl42_308
<=> lt(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_308])]) ).
fof(f898,plain,
( lt(tptp_minus_1,n2)
| ~ spl42_50
| ~ spl42_75 ),
inference(resolution,[],[f847,f704]) ).
fof(f3506,plain,
( spl42_307
| ~ spl42_53
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f896,f846,f717,f3503]) ).
fof(f3503,plain,
( spl42_307
<=> lt(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_307])]) ).
fof(f896,plain,
( lt(tptp_minus_1,n1)
| ~ spl42_53
| ~ spl42_75 ),
inference(resolution,[],[f847,f719]) ).
fof(f3501,plain,
( spl42_306
| ~ spl42_40
| ~ spl42_68
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f893,f838,f800,f652,f3498]) ).
fof(f3498,plain,
( spl42_306
<=> leq(tptp_float_0_0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_306])]) ).
fof(f893,plain,
( leq(tptp_float_0_0,n5)
| ~ spl42_40
| ~ spl42_68
| ~ spl42_73 ),
inference(forward_demodulation,[],[f882,f802]) ).
fof(f882,plain,
( leq(n0,n5)
| ~ spl42_40
| ~ spl42_73 ),
inference(resolution,[],[f839,f654]) ).
fof(f3496,plain,
( spl42_305
| ~ spl42_45
| ~ spl42_68
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f892,f838,f800,f677,f3493]) ).
fof(f3493,plain,
( spl42_305
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_305])]) ).
fof(f892,plain,
( leq(tptp_float_0_0,n4)
| ~ spl42_45
| ~ spl42_68
| ~ spl42_73 ),
inference(forward_demodulation,[],[f877,f802]) ).
fof(f877,plain,
( leq(n0,n4)
| ~ spl42_45
| ~ spl42_73 ),
inference(resolution,[],[f839,f679]) ).
fof(f3491,plain,
( spl42_304
| ~ spl42_49
| ~ spl42_68
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f891,f838,f800,f697,f3488]) ).
fof(f3488,plain,
( spl42_304
<=> leq(tptp_float_0_0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_304])]) ).
fof(f891,plain,
( leq(tptp_float_0_0,n3)
| ~ spl42_49
| ~ spl42_68
| ~ spl42_73 ),
inference(forward_demodulation,[],[f873,f802]) ).
fof(f873,plain,
( leq(n0,n3)
| ~ spl42_49
| ~ spl42_73 ),
inference(resolution,[],[f839,f699]) ).
fof(f3483,plain,
( spl42_303
| ~ spl42_264
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f3118,f3115,f3089,f3481]) ).
fof(f3481,plain,
( spl42_303
<=> ! [X94] :
( ~ leq(X94,tptp_float_0_0)
| leq(X94,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_303])]) ).
fof(f3118,plain,
( ! [X94] :
( ~ leq(X94,tptp_float_0_0)
| leq(X94,tptp_minus_1) )
| ~ spl42_264
| ~ spl42_267 ),
inference(forward_demodulation,[],[f3116,f3091]) ).
fof(f3463,plain,
( spl42_302
| ~ spl42_75
| ~ spl42_265 ),
inference(avatar_split_clause,[],[f3163,f3093,f846,f3460]) ).
fof(f3093,plain,
( spl42_265
<=> gt(sK14,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).
fof(f3163,plain,
( lt(tptp_float_0_0,sK14)
| ~ spl42_75
| ~ spl42_265 ),
inference(resolution,[],[f3095,f847]) ).
fof(f3095,plain,
( gt(sK14,tptp_float_0_0)
| ~ spl42_265 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f3458,plain,
( spl42_301
| ~ spl42_52
| ~ spl42_68
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f890,f838,f800,f712,f3455]) ).
fof(f3455,plain,
( spl42_301
<=> leq(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_301])]) ).
fof(f890,plain,
( leq(tptp_float_0_0,n2)
| ~ spl42_52
| ~ spl42_68
| ~ spl42_73 ),
inference(forward_demodulation,[],[f872,f802]) ).
fof(f872,plain,
( leq(n0,n2)
| ~ spl42_52
| ~ spl42_73 ),
inference(resolution,[],[f839,f714]) ).
fof(f3453,plain,
( spl42_300
| ~ spl42_54
| ~ spl42_68
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f889,f838,f800,f722,f3450]) ).
fof(f3450,plain,
( spl42_300
<=> leq(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_300])]) ).
fof(f889,plain,
( leq(tptp_float_0_0,n1)
| ~ spl42_54
| ~ spl42_68
| ~ spl42_73 ),
inference(forward_demodulation,[],[f869,f802]) ).
fof(f869,plain,
( leq(n0,n1)
| ~ spl42_54
| ~ spl42_73 ),
inference(resolution,[],[f839,f724]) ).
fof(f3448,plain,
( spl42_299
| ~ spl42_55
| ~ spl42_68
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f888,f838,f800,f727,f3445]) ).
fof(f888,plain,
( leq(tptp_minus_1,tptp_float_0_0)
| ~ spl42_55
| ~ spl42_68
| ~ spl42_73 ),
inference(forward_demodulation,[],[f867,f802]) ).
fof(f867,plain,
( leq(tptp_minus_1,n0)
| ~ spl42_55
| ~ spl42_73 ),
inference(resolution,[],[f839,f729]) ).
fof(f3443,plain,
( spl42_298
| ~ spl42_36
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f887,f838,f632,f3440]) ).
fof(f3440,plain,
( spl42_298
<=> leq(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_298])]) ).
fof(f887,plain,
( leq(n4,n5)
| ~ spl42_36
| ~ spl42_73 ),
inference(resolution,[],[f839,f634]) ).
fof(f3438,plain,
( spl42_297
| ~ spl42_37
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f886,f838,f637,f3435]) ).
fof(f3435,plain,
( spl42_297
<=> leq(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_297])]) ).
fof(f886,plain,
( leq(n3,n5)
| ~ spl42_37
| ~ spl42_73 ),
inference(resolution,[],[f839,f639]) ).
fof(f3433,plain,
( spl42_296
| ~ spl42_38
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f885,f838,f642,f3430]) ).
fof(f3430,plain,
( spl42_296
<=> leq(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_296])]) ).
fof(f885,plain,
( leq(n2,n5)
| ~ spl42_38
| ~ spl42_73 ),
inference(resolution,[],[f839,f644]) ).
fof(f3428,plain,
( spl42_295
| ~ spl42_39
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f884,f838,f647,f3425]) ).
fof(f3425,plain,
( spl42_295
<=> leq(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_295])]) ).
fof(f884,plain,
( leq(n1,n5)
| ~ spl42_39
| ~ spl42_73 ),
inference(resolution,[],[f839,f649]) ).
fof(f3423,plain,
( spl42_294
| ~ spl42_35
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f883,f838,f627,f3420]) ).
fof(f3420,plain,
( spl42_294
<=> leq(tptp_minus_1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_294])]) ).
fof(f883,plain,
( leq(tptp_minus_1,n5)
| ~ spl42_35
| ~ spl42_73 ),
inference(resolution,[],[f839,f629]) ).
fof(f3418,plain,
( spl42_293
| ~ spl42_42
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f881,f838,f662,f3415]) ).
fof(f3415,plain,
( spl42_293
<=> leq(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_293])]) ).
fof(f881,plain,
( leq(n3,n4)
| ~ spl42_42
| ~ spl42_73 ),
inference(resolution,[],[f839,f664]) ).
fof(f3413,plain,
( spl42_292
| ~ spl42_43
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f880,f838,f667,f3410]) ).
fof(f3410,plain,
( spl42_292
<=> leq(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_292])]) ).
fof(f880,plain,
( leq(n2,n4)
| ~ spl42_43
| ~ spl42_73 ),
inference(resolution,[],[f839,f669]) ).
fof(f3407,plain,
( spl42_291
| ~ spl42_44
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f879,f838,f672,f3404]) ).
fof(f3404,plain,
( spl42_291
<=> leq(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_291])]) ).
fof(f879,plain,
( leq(n1,n4)
| ~ spl42_44
| ~ spl42_73 ),
inference(resolution,[],[f839,f674]) ).
fof(f3402,plain,
( spl42_290
| ~ spl42_41
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f878,f838,f657,f3399]) ).
fof(f3399,plain,
( spl42_290
<=> leq(tptp_minus_1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_290])]) ).
fof(f878,plain,
( leq(tptp_minus_1,n4)
| ~ spl42_41
| ~ spl42_73 ),
inference(resolution,[],[f839,f659]) ).
fof(f3397,plain,
( spl42_289
| ~ spl42_47
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f876,f838,f687,f3394]) ).
fof(f3394,plain,
( spl42_289
<=> leq(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_289])]) ).
fof(f876,plain,
( leq(n2,n3)
| ~ spl42_47
| ~ spl42_73 ),
inference(resolution,[],[f839,f689]) ).
fof(f3392,plain,
( spl42_288
| ~ spl42_48
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f875,f838,f692,f3389]) ).
fof(f3389,plain,
( spl42_288
<=> leq(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_288])]) ).
fof(f875,plain,
( leq(n1,n3)
| ~ spl42_48
| ~ spl42_73 ),
inference(resolution,[],[f839,f694]) ).
fof(f3387,plain,
( spl42_287
| ~ spl42_46
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f874,f838,f682,f3384]) ).
fof(f3384,plain,
( spl42_287
<=> leq(tptp_minus_1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_287])]) ).
fof(f874,plain,
( leq(tptp_minus_1,n3)
| ~ spl42_46
| ~ spl42_73 ),
inference(resolution,[],[f839,f684]) ).
fof(f3382,plain,
( spl42_286
| ~ spl42_51
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f871,f838,f707,f3379]) ).
fof(f3379,plain,
( spl42_286
<=> leq(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_286])]) ).
fof(f871,plain,
( leq(n1,n2)
| ~ spl42_51
| ~ spl42_73 ),
inference(resolution,[],[f839,f709]) ).
fof(f3377,plain,
( spl42_285
| ~ spl42_50
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f870,f838,f702,f3374]) ).
fof(f3374,plain,
( spl42_285
<=> leq(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_285])]) ).
fof(f870,plain,
( leq(tptp_minus_1,n2)
| ~ spl42_50
| ~ spl42_73 ),
inference(resolution,[],[f839,f704]) ).
fof(f3335,plain,
( spl42_284
| ~ spl42_260
| ~ spl42_283 ),
inference(avatar_split_clause,[],[f3330,f3326,f3055,f3332]) ).
fof(f3326,plain,
( spl42_283
<=> leq(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_283])]) ).
fof(f3330,plain,
( leq(sK14,n1)
| ~ spl42_260
| ~ spl42_283 ),
inference(forward_demodulation,[],[f3328,f3057]) ).
fof(f3328,plain,
( leq(tptp_minus_1,n1)
| ~ spl42_283 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f3329,plain,
( spl42_283
| ~ spl42_53
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f868,f838,f717,f3326]) ).
fof(f868,plain,
( leq(tptp_minus_1,n1)
| ~ spl42_53
| ~ spl42_73 ),
inference(resolution,[],[f839,f719]) ).
fof(f3323,plain,
( spl42_282
| ~ spl42_55
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f818,f800,f727,f3320]) ).
fof(f818,plain,
( gt(tptp_float_0_0,tptp_minus_1)
| ~ spl42_55
| ~ spl42_68 ),
inference(superposition,[],[f729,f802]) ).
fof(f3318,plain,
( spl42_281
| ~ spl42_54
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f817,f800,f722,f3315]) ).
fof(f3315,plain,
( spl42_281
<=> gt(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).
fof(f817,plain,
( gt(n1,tptp_float_0_0)
| ~ spl42_54
| ~ spl42_68 ),
inference(superposition,[],[f724,f802]) ).
fof(f3313,plain,
( spl42_280
| ~ spl42_52
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f816,f800,f712,f3310]) ).
fof(f3310,plain,
( spl42_280
<=> gt(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).
fof(f816,plain,
( gt(n2,tptp_float_0_0)
| ~ spl42_52
| ~ spl42_68 ),
inference(superposition,[],[f714,f802]) ).
fof(f3308,plain,
( spl42_279
| ~ spl42_49
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f815,f800,f697,f3305]) ).
fof(f3305,plain,
( spl42_279
<=> gt(n3,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_279])]) ).
fof(f815,plain,
( gt(n3,tptp_float_0_0)
| ~ spl42_49
| ~ spl42_68 ),
inference(superposition,[],[f699,f802]) ).
fof(f3303,plain,
( spl42_278
| ~ spl42_45
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f814,f800,f677,f3300]) ).
fof(f3300,plain,
( spl42_278
<=> gt(n4,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_278])]) ).
fof(f814,plain,
( gt(n4,tptp_float_0_0)
| ~ spl42_45
| ~ spl42_68 ),
inference(superposition,[],[f679,f802]) ).
fof(f3298,plain,
( spl42_277
| ~ spl42_40
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f813,f800,f652,f3295]) ).
fof(f3295,plain,
( spl42_277
<=> gt(n5,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_277])]) ).
fof(f813,plain,
( gt(n5,tptp_float_0_0)
| ~ spl42_40
| ~ spl42_68 ),
inference(superposition,[],[f654,f802]) ).
fof(f3280,plain,
( spl42_276
| ~ spl42_2
| ~ spl42_68
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f2153,f2081,f800,f462,f3278]) ).
fof(f3278,plain,
( spl42_276
<=> ! [X18,X17] :
( a_select2(tptp_const_array1(dim(tptp_float_0_0,X17),X18),sK14) = X18
| ~ leq(sK14,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_276])]) ).
fof(f2081,plain,
( spl42_205
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_205])]) ).
fof(f2153,plain,
( ! [X18,X17] :
( a_select2(tptp_const_array1(dim(tptp_float_0_0,X17),X18),sK14) = X18
| ~ leq(sK14,X17) )
| ~ spl42_2
| ~ spl42_68
| ~ spl42_205 ),
inference(forward_demodulation,[],[f2093,f802]) ).
fof(f2093,plain,
( ! [X18,X17] :
( ~ leq(sK14,X17)
| a_select2(tptp_const_array1(dim(n0,X17),X18),sK14) = X18 )
| ~ spl42_2
| ~ spl42_205 ),
inference(resolution,[],[f2082,f464]) ).
fof(f2082,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X2)
| a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3 )
| ~ spl42_205 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f3276,plain,
( spl42_275
| ~ spl42_1
| ~ spl42_68
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f2152,f2081,f800,f457,f3274]) ).
fof(f3274,plain,
( spl42_275
<=> ! [X16,X15] :
( a_select2(tptp_const_array1(dim(tptp_float_0_0,X15),X16),sK13) = X16
| ~ leq(sK13,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_275])]) ).
fof(f2152,plain,
( ! [X16,X15] :
( a_select2(tptp_const_array1(dim(tptp_float_0_0,X15),X16),sK13) = X16
| ~ leq(sK13,X15) )
| ~ spl42_1
| ~ spl42_68
| ~ spl42_205 ),
inference(forward_demodulation,[],[f2092,f802]) ).
fof(f2092,plain,
( ! [X16,X15] :
( ~ leq(sK13,X15)
| a_select2(tptp_const_array1(dim(n0,X15),X16),sK13) = X16 )
| ~ spl42_1
| ~ spl42_205 ),
inference(resolution,[],[f2082,f459]) ).
fof(f3270,plain,
( spl42_274
| ~ spl42_4
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f2125,f2081,f472,f3268]) ).
fof(f3268,plain,
( spl42_274
<=> ! [X141,X142] :
( ~ leq(tptp_minus_1,X141)
| a_select2(tptp_const_array1(dim(sK14,X141),X142),tptp_minus_1) = X142 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_274])]) ).
fof(f2125,plain,
( ! [X142,X141] :
( ~ leq(tptp_minus_1,X141)
| a_select2(tptp_const_array1(dim(sK14,X141),X142),tptp_minus_1) = X142 )
| ~ spl42_4
| ~ spl42_205 ),
inference(resolution,[],[f2082,f474]) ).
fof(f3266,plain,
( spl42_273
| ~ spl42_3
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f2124,f2081,f467,f3264]) ).
fof(f3264,plain,
( spl42_273
<=> ! [X139,X140] :
( ~ leq(n2,X139)
| a_select2(tptp_const_array1(dim(sK13,X139),X140),n2) = X140 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_273])]) ).
fof(f2124,plain,
( ! [X140,X139] :
( ~ leq(n2,X139)
| a_select2(tptp_const_array1(dim(sK13,X139),X140),n2) = X140 )
| ~ spl42_3
| ~ spl42_205 ),
inference(resolution,[],[f2082,f469]) ).
fof(f3172,plain,
( spl42_272
| ~ spl42_262
| ~ spl42_266 ),
inference(avatar_split_clause,[],[f3113,f3110,f3068,f3170]) ).
fof(f3170,plain,
( spl42_272
<=> ! [X93] :
( ~ leq(X93,tptp_float_0_0)
| leq(X93,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_272])]) ).
fof(f3110,plain,
( spl42_266
<=> ! [X93] :
( leq(X93,n2)
| ~ leq(X93,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_266])]) ).
fof(f3113,plain,
( ! [X93] :
( ~ leq(X93,tptp_float_0_0)
| leq(X93,n2) )
| ~ spl42_262
| ~ spl42_266 ),
inference(forward_demodulation,[],[f3111,f3070]) ).
fof(f3111,plain,
( ! [X93] :
( ~ leq(X93,sK13)
| leq(X93,n2) )
| ~ spl42_266 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f3142,plain,
( spl42_271
| ~ spl42_260
| ~ spl42_264 ),
inference(avatar_split_clause,[],[f3135,f3089,f3055,f3139]) ).
fof(f3135,plain,
( tptp_minus_1 = tptp_float_0_0
| ~ spl42_260
| ~ spl42_264 ),
inference(forward_demodulation,[],[f3057,f3091]) ).
fof(f3133,plain,
( spl42_270
| ~ spl42_75
| ~ spl42_259 ),
inference(avatar_split_clause,[],[f3060,f3051,f846,f3130]) ).
fof(f3060,plain,
( lt(sK14,tptp_minus_1)
| ~ spl42_75
| ~ spl42_259 ),
inference(resolution,[],[f3053,f847]) ).
fof(f3127,plain,
( spl42_269
| ~ spl42_2
| ~ spl42_68
| ~ spl42_184 ),
inference(avatar_split_clause,[],[f1888,f1648,f800,f462,f3125]) ).
fof(f1888,plain,
( ! [X12] :
( ~ leq(X12,tptp_float_0_0)
| leq(X12,sK14) )
| ~ spl42_2
| ~ spl42_68
| ~ spl42_184 ),
inference(forward_demodulation,[],[f1832,f802]) ).
fof(f1832,plain,
( ! [X12] :
( leq(X12,sK14)
| ~ leq(X12,n0) )
| ~ spl42_2
| ~ spl42_184 ),
inference(resolution,[],[f1649,f464]) ).
fof(f3122,plain,
( spl42_268
| ~ spl42_1
| ~ spl42_68
| ~ spl42_184 ),
inference(avatar_split_clause,[],[f1887,f1648,f800,f457,f3120]) ).
fof(f1887,plain,
( ! [X11] :
( ~ leq(X11,tptp_float_0_0)
| leq(X11,sK13) )
| ~ spl42_1
| ~ spl42_68
| ~ spl42_184 ),
inference(forward_demodulation,[],[f1831,f802]) ).
fof(f1831,plain,
( ! [X11] :
( leq(X11,sK13)
| ~ leq(X11,n0) )
| ~ spl42_1
| ~ spl42_184 ),
inference(resolution,[],[f1649,f459]) ).
fof(f3117,plain,
( spl42_267
| ~ spl42_4
| ~ spl42_184 ),
inference(avatar_split_clause,[],[f1862,f1648,f472,f3115]) ).
fof(f1862,plain,
( ! [X94] :
( leq(X94,tptp_minus_1)
| ~ leq(X94,sK14) )
| ~ spl42_4
| ~ spl42_184 ),
inference(resolution,[],[f1649,f474]) ).
fof(f3112,plain,
( spl42_266
| ~ spl42_3
| ~ spl42_184 ),
inference(avatar_split_clause,[],[f1861,f1648,f467,f3110]) ).
fof(f1861,plain,
( ! [X93] :
( leq(X93,n2)
| ~ leq(X93,sK13) )
| ~ spl42_3
| ~ spl42_184 ),
inference(resolution,[],[f1649,f469]) ).
fof(f3096,plain,
( spl42_264
| spl42_265
| ~ spl42_2
| ~ spl42_68
| ~ spl42_182 ),
inference(avatar_split_clause,[],[f1795,f1640,f800,f462,f3093,f3089]) ).
fof(f1640,plain,
( spl42_182
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_182])]) ).
fof(f1795,plain,
( gt(sK14,tptp_float_0_0)
| tptp_float_0_0 = sK14
| ~ spl42_2
| ~ spl42_68
| ~ spl42_182 ),
inference(forward_demodulation,[],[f1794,f802]) ).
fof(f1794,plain,
( tptp_float_0_0 = sK14
| gt(sK14,n0)
| ~ spl42_2
| ~ spl42_68
| ~ spl42_182 ),
inference(forward_demodulation,[],[f1737,f802]) ).
fof(f1737,plain,
( n0 = sK14
| gt(sK14,n0)
| ~ spl42_2
| ~ spl42_182 ),
inference(resolution,[],[f1641,f464]) ).
fof(f1641,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) )
| ~ spl42_182 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f3075,plain,
( spl42_262
| spl42_263
| ~ spl42_1
| ~ spl42_68
| ~ spl42_182 ),
inference(avatar_split_clause,[],[f1793,f1640,f800,f457,f3072,f3068]) ).
fof(f1793,plain,
( gt(sK13,tptp_float_0_0)
| tptp_float_0_0 = sK13
| ~ spl42_1
| ~ spl42_68
| ~ spl42_182 ),
inference(forward_demodulation,[],[f1792,f802]) ).
fof(f1792,plain,
( tptp_float_0_0 = sK13
| gt(sK13,n0)
| ~ spl42_1
| ~ spl42_68
| ~ spl42_182 ),
inference(forward_demodulation,[],[f1736,f802]) ).
fof(f1736,plain,
( n0 = sK13
| gt(sK13,n0)
| ~ spl42_1
| ~ spl42_182 ),
inference(resolution,[],[f1641,f459]) ).
fof(f3066,plain,
( spl42_261
| ~ spl42_75
| ~ spl42_227 ),
inference(avatar_split_clause,[],[f2667,f2344,f846,f3063]) ).
fof(f3063,plain,
( spl42_261
<=> lt(sK13,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_261])]) ).
fof(f2667,plain,
( lt(sK13,n2)
| ~ spl42_75
| ~ spl42_227 ),
inference(resolution,[],[f2346,f847]) ).
fof(f3058,plain,
( spl42_259
| spl42_260
| ~ spl42_4
| ~ spl42_182 ),
inference(avatar_split_clause,[],[f1767,f1640,f472,f3055,f3051]) ).
fof(f1767,plain,
( tptp_minus_1 = sK14
| gt(tptp_minus_1,sK14)
| ~ spl42_4
| ~ spl42_182 ),
inference(resolution,[],[f1641,f474]) ).
fof(f3017,plain,
( spl42_258
| ~ spl42_68
| ~ spl42_257 ),
inference(avatar_split_clause,[],[f3013,f3009,f800,f3015]) ).
fof(f3015,plain,
( spl42_258
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_258])]) ).
fof(f3009,plain,
( spl42_257
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_257])]) ).
fof(f3013,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl42_68
| ~ spl42_257 ),
inference(forward_demodulation,[],[f3012,f802]) ).
fof(f3012,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl42_68
| ~ spl42_257 ),
inference(forward_demodulation,[],[f3010,f802]) ).
fof(f3010,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl42_257 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f3011,plain,
spl42_257,
inference(avatar_split_clause,[],[f437,f3009]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8,X9] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(definition_folding,[],[f161,f182,f181,f180]) ).
fof(f180,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f181,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f182,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(X5,X8,X9) = a_select3(X5,X9,X8) )
& ! [X10,X11] :
( ( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
=> a_select3(X3,X12,X13) = a_select3(X3,X13,X12) ) )
=> ! [X14,X15] :
( ( leq(X15,X6)
& leq(n0,X15)
& leq(X14,X6)
& leq(n0,X14) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X13,X17,X3,X19,X20,X21,X14,X18] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X21,X4,X10) = a_select3(X21,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X19,X4,X10) = a_select3(X19,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X4,X10) = a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_joseph_update) ).
fof(f2975,plain,
( spl42_256
| ~ spl42_68
| ~ spl42_255 ),
inference(avatar_split_clause,[],[f2971,f2966,f800,f2973]) ).
fof(f2973,plain,
( spl42_256
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_256])]) ).
fof(f2966,plain,
( spl42_255
<=> ! [X3,X4,X0,X5,X2,X1] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_255])]) ).
fof(f2971,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) )
| ~ spl42_68
| ~ spl42_255 ),
inference(forward_demodulation,[],[f2970,f802]) ).
fof(f2970,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl42_68
| ~ spl42_255 ),
inference(forward_demodulation,[],[f2969,f802]) ).
fof(f2969,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl42_68
| ~ spl42_255 ),
inference(forward_demodulation,[],[f2967,f802]) ).
fof(f2967,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl42_255 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f2968,plain,
spl42_255,
inference(avatar_split_clause,[],[f360,f2966]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ! [X2,X3,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP2(X0,X1) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP2(X0,X1) ),
inference(definition_folding,[],[f135,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5,X6,X7] :
( ( leq(X6,X1)
& leq(n0,X6)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10,X15,X16] :
( ( leq(X15,X14)
& leq(n0,X15)
& leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_update3(X13,X15,X15,X16),X4,X10) = a_select3(tptp_update3(X13,X15,X15,X16),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_update_diagonal) ).
fof(f2898,plain,
( spl42_254
| ~ spl42_68
| ~ spl42_252 ),
inference(avatar_split_clause,[],[f2890,f2886,f800,f2896]) ).
fof(f2896,plain,
( spl42_254
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).
fof(f2886,plain,
( spl42_252
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_252])]) ).
fof(f2890,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) )
| ~ spl42_68
| ~ spl42_252 ),
inference(forward_demodulation,[],[f2889,f802]) ).
fof(f2889,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl42_68
| ~ spl42_252 ),
inference(forward_demodulation,[],[f2887,f802]) ).
fof(f2887,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl42_252 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f2894,plain,
( spl42_253
| ~ spl42_68
| ~ spl42_251 ),
inference(avatar_split_clause,[],[f2884,f2880,f800,f2892]) ).
fof(f2892,plain,
( spl42_253
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_253])]) ).
fof(f2880,plain,
( spl42_251
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).
fof(f2884,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) )
| ~ spl42_68
| ~ spl42_251 ),
inference(forward_demodulation,[],[f2883,f802]) ).
fof(f2883,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl42_68
| ~ spl42_251 ),
inference(forward_demodulation,[],[f2881,f802]) ).
fof(f2881,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl42_251 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2888,plain,
spl42_252,
inference(avatar_split_clause,[],[f412,f2886]) ).
fof(f412,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4) )
| sP8(X1,X3) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| sP8(X1,X3) ),
inference(definition_folding,[],[f151,f176]) ).
fof(f176,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
=> a_select3(X1,X4,X5) = a_select3(X1,X5,X4) )
=> ! [X6,X7] :
( ( leq(X7,X2)
& leq(n0,X7)
& leq(X6,X2)
& leq(n0,X6) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X13,X17,X14,X18] :
( ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_aba2) ).
fof(f2882,plain,
spl42_251,
inference(avatar_split_clause,[],[f401,f2880]) ).
fof(f401,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP7(X1,X2) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| sP7(X1,X2) ),
inference(definition_folding,[],[f145,f174]) ).
fof(f174,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
=> ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X13,X17,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_aba1) ).
fof(f2814,plain,
( spl42_250
| ~ spl42_68
| ~ spl42_248 ),
inference(avatar_split_clause,[],[f2806,f2802,f800,f2812]) ).
fof(f2812,plain,
( spl42_250
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_250])]) ).
fof(f2802,plain,
( spl42_248
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_248])]) ).
fof(f2806,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl42_68
| ~ spl42_248 ),
inference(forward_demodulation,[],[f2805,f802]) ).
fof(f2805,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl42_68
| ~ spl42_248 ),
inference(forward_demodulation,[],[f2803,f802]) ).
fof(f2803,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl42_248 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f2810,plain,
( spl42_249
| ~ spl42_68
| ~ spl42_247 ),
inference(avatar_split_clause,[],[f2800,f2796,f800,f2808]) ).
fof(f2808,plain,
( spl42_249
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_249])]) ).
fof(f2796,plain,
( spl42_247
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_247])]) ).
fof(f2800,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl42_68
| ~ spl42_247 ),
inference(forward_demodulation,[],[f2799,f802]) ).
fof(f2799,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl42_68
| ~ spl42_247 ),
inference(forward_demodulation,[],[f2797,f802]) ).
fof(f2797,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl42_247 ),
inference(avatar_component_clause,[],[f2796]) ).
fof(f2804,plain,
spl42_248,
inference(avatar_split_clause,[],[f395,f2802]) ).
fof(f395,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(definition_folding,[],[f143,f172,f171]) ).
fof(f171,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f172,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,X17),X4,X10) = a_select3(tptp_madd(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_add) ).
fof(f2798,plain,
spl42_247,
inference(avatar_split_clause,[],[f384,f2796]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(definition_folding,[],[f141,f169,f168]) ).
fof(f168,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f169,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_msub(X13,X17),X4,X10) = a_select3(tptp_msub(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_sub) ).
fof(f2762,plain,
( spl42_246
| ~ spl42_68
| ~ spl42_245 ),
inference(avatar_split_clause,[],[f2758,f2754,f800,f2760]) ).
fof(f2760,plain,
( spl42_246
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_246])]) ).
fof(f2754,plain,
( spl42_245
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_245])]) ).
fof(f2758,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) )
| ~ spl42_68
| ~ spl42_245 ),
inference(forward_demodulation,[],[f2757,f802]) ).
fof(f2757,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl42_68
| ~ spl42_245 ),
inference(forward_demodulation,[],[f2755,f802]) ).
fof(f2755,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl42_245 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f2756,plain,
spl42_245,
inference(avatar_split_clause,[],[f419,f2754]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(definition_folding,[],[f155,f178]) ).
fof(f178,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( leq(X1,X3)
& leq(n0,X1)
& leq(X0,X2)
& leq(n0,X0)
& ! [X6,X7] :
( ( leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(X4,X6,X7) = X5 ) )
=> a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5 ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X10,X6,X23,X0,X16] :
( ( leq(X10,X23)
& leq(n0,X10)
& leq(X4,X6)
& leq(n0,X4)
& ! [X25,X26] :
( ( leq(X26,X23)
& leq(X25,X6)
& leq(n0,X26)
& leq(n0,X25) )
=> a_select3(X0,X25,X26) = X16 ) )
=> a_select3(tptp_update3(X0,X6,X23,X16),X4,X10) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sel3_update_3) ).
fof(f2688,plain,
( spl42_244
| ~ spl42_68
| ~ spl42_242 ),
inference(avatar_split_clause,[],[f2680,f2676,f800,f2686]) ).
fof(f2686,plain,
( spl42_244
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_244])]) ).
fof(f2676,plain,
( spl42_242
<=> ! [X0,X3,X2,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_242])]) ).
fof(f2680,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) )
| ~ spl42_68
| ~ spl42_242 ),
inference(forward_demodulation,[],[f2679,f802]) ).
fof(f2679,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl42_68
| ~ spl42_242 ),
inference(forward_demodulation,[],[f2677,f802]) ).
fof(f2677,plain,
( ! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl42_242 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f2684,plain,
( spl42_243
| ~ spl42_68
| ~ spl42_241 ),
inference(avatar_split_clause,[],[f2674,f2670,f800,f2682]) ).
fof(f2682,plain,
( spl42_243
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_243])]) ).
fof(f2670,plain,
( spl42_241
<=> ! [X0,X3,X2,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_241])]) ).
fof(f2674,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) )
| ~ spl42_68
| ~ spl42_241 ),
inference(forward_demodulation,[],[f2673,f802]) ).
fof(f2673,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl42_68
| ~ spl42_241 ),
inference(forward_demodulation,[],[f2671,f802]) ).
fof(f2671,plain,
( ! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl42_241 ),
inference(avatar_component_clause,[],[f2670]) ).
fof(f2678,plain,
spl42_242,
inference(avatar_split_clause,[],[f354,f2676]) ).
fof(f354,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP1(X0,X1) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP1(X0,X1) ),
inference(definition_folding,[],[f133,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(trans(X13),X4,X10) = a_select3(trans(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_trans) ).
fof(f2672,plain,
spl42_241,
inference(avatar_split_clause,[],[f348,f2670]) ).
fof(f348,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP0(X0,X1) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP0(X0,X1) ),
inference(definition_folding,[],[f131,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(inv(X13),X4,X10) = a_select3(inv(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',matrix_symm_inv) ).
fof(f2599,plain,
spl42_240,
inference(avatar_split_clause,[],[f421,f2597]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( leq(X3,X5)
& leq(X4,X3)
& leq(X0,X2)
& leq(X1,X0) )
=> a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X8,X9,X10,X11,X12,X7] :
( ( leq(X10,X12)
& leq(X11,X10)
& leq(X4,X9)
& leq(X8,X4) )
=> a_select3(tptp_const_array2(dim(X8,X9),dim(X11,X12),X7),X4,X10) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',const_array2_select) ).
fof(f2563,plain,
( spl42_239
| ~ spl42_68
| ~ spl42_238 ),
inference(avatar_split_clause,[],[f2559,f2555,f800,f2561]) ).
fof(f2561,plain,
( spl42_239
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_239])]) ).
fof(f2555,plain,
( spl42_238
<=> ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_238])]) ).
fof(f2559,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) )
| ~ spl42_68
| ~ spl42_238 ),
inference(forward_demodulation,[],[f2558,f802]) ).
fof(f2558,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_238 ),
inference(forward_demodulation,[],[f2556,f802]) ).
fof(f2556,plain,
( ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl42_238 ),
inference(avatar_component_clause,[],[f2555]) ).
fof(f2557,plain,
spl42_238,
inference(avatar_split_clause,[],[f329,f2555]) ).
fof(f329,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',finite_domain_5) ).
fof(f2541,plain,
( spl42_237
| ~ spl42_68
| ~ spl42_233 ),
inference(avatar_split_clause,[],[f2490,f2487,f800,f2539]) ).
fof(f2539,plain,
( spl42_237
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK31(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_237])]) ).
fof(f2487,plain,
( spl42_233
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK31(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).
fof(f2490,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK31(X1,X2,X3)) != X3 )
| ~ spl42_68
| ~ spl42_233 ),
inference(forward_demodulation,[],[f2488,f802]) ).
fof(f2488,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK31(X1,X2,X3)) != X3 )
| ~ spl42_233 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f2505,plain,
( spl42_236
| ~ spl42_68
| ~ spl42_231 ),
inference(avatar_split_clause,[],[f2501,f2444,f800,f2503]) ).
fof(f2503,plain,
( spl42_236
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_236])]) ).
fof(f2444,plain,
( spl42_231
<=> ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_231])]) ).
fof(f2501,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) )
| ~ spl42_68
| ~ spl42_231 ),
inference(forward_demodulation,[],[f2500,f802]) ).
fof(f2500,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_231 ),
inference(forward_demodulation,[],[f2445,f802]) ).
fof(f2445,plain,
( ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl42_231 ),
inference(avatar_component_clause,[],[f2444]) ).
fof(f2499,plain,
( spl42_235
| ~ spl42_38
| ~ spl42_228 ),
inference(avatar_split_clause,[],[f2367,f2348,f642,f2496]) ).
fof(f2496,plain,
( spl42_235
<=> gt(n5,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).
fof(f2348,plain,
( spl42_228
<=> n2 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_228])]) ).
fof(f2367,plain,
( gt(n5,sK13)
| ~ spl42_38
| ~ spl42_228 ),
inference(superposition,[],[f644,f2350]) ).
fof(f2350,plain,
( n2 = sK13
| ~ spl42_228 ),
inference(avatar_component_clause,[],[f2348]) ).
fof(f2494,plain,
spl42_234,
inference(avatar_split_clause,[],[f420,f2492]) ).
fof(f420,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( a_select3(X4,X2,X3) = X5
& X1 = X3
& X0 != X2 )
=> a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4,X10,X6,X23,X0,X16,X24] :
( ( a_select3(X0,X6,X23) = X16
& X10 = X23
& X4 != X6 )
=> a_select3(tptp_update3(X0,X4,X10,X24),X6,X23) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sel3_update_2) ).
fof(f2489,plain,
spl42_233,
inference(avatar_split_clause,[],[f406,f2487]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK31(X1,X2,X3)) != X3 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ( a_select2(X2,sK31(X1,X2,X3)) != X3
& leq(sK31(X1,X2,X3),X1)
& leq(n0,sK31(X1,X2,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f149,f226]) ).
fof(f226,plain,
! [X1,X2,X3] :
( ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select2(X2,sK31(X1,X2,X3)) != X3
& leq(sK31(X1,X2,X3),X1)
& leq(n0,sK31(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X1)
& leq(n0,X0)
& ! [X4] :
( ( leq(X4,X1)
& leq(n0,X4) )
=> a_select2(X2,X4) = X3 ) )
=> a_select2(tptp_update2(X2,X1,X3),X0) = X3 ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4,X6,X0,X16] :
( ( leq(X4,X6)
& leq(n0,X4)
& ! [X25] :
( ( leq(X25,X6)
& leq(n0,X25) )
=> a_select2(X0,X25) = X16 ) )
=> a_select2(tptp_update2(X0,X6,X16),X4) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sel2_update_3) ).
fof(f2453,plain,
( spl42_232
| ~ spl42_68
| ~ spl42_228
| ~ spl42_231 ),
inference(avatar_split_clause,[],[f2449,f2444,f2348,f800,f2451]) ).
fof(f2449,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| sK13 = X0
| n4 = X0
| n3 = X0
| n1 = X0
| ~ leq(X0,n4) )
| ~ spl42_68
| ~ spl42_228
| ~ spl42_231 ),
inference(forward_demodulation,[],[f2448,f802]) ).
fof(f2448,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| sK13 = X0
| n4 = X0
| n3 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_228
| ~ spl42_231 ),
inference(forward_demodulation,[],[f2447,f802]) ).
fof(f2447,plain,
( ! [X0] :
( sK13 = X0
| n4 = X0
| n3 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl42_228
| ~ spl42_231 ),
inference(forward_demodulation,[],[f2445,f2350]) ).
fof(f2446,plain,
spl42_231,
inference(avatar_split_clause,[],[f330,f2444]) ).
fof(f330,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',finite_domain_4) ).
fof(f2360,plain,
( spl42_230
| ~ spl42_68
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f2326,f2323,f800,f2358]) ).
fof(f2358,plain,
( spl42_230
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK31(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_230])]) ).
fof(f2323,plain,
( spl42_222
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK31(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).
fof(f2326,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK31(X1,X2,X3),X1) )
| ~ spl42_68
| ~ spl42_222 ),
inference(forward_demodulation,[],[f2324,f802]) ).
fof(f2324,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK31(X1,X2,X3),X1) )
| ~ spl42_222 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f2356,plain,
( spl42_229
| ~ spl42_68
| ~ spl42_221 ),
inference(avatar_split_clause,[],[f2321,f2317,f800,f2354]) ).
fof(f2354,plain,
( spl42_229
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK31(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_229])]) ).
fof(f2317,plain,
( spl42_221
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK31(X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_221])]) ).
fof(f2321,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK31(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) )
| ~ spl42_68
| ~ spl42_221 ),
inference(forward_demodulation,[],[f2320,f802]) ).
fof(f2320,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(n0,sK31(X1,X2,X3)) )
| ~ spl42_68
| ~ spl42_221 ),
inference(forward_demodulation,[],[f2318,f802]) ).
fof(f2318,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK31(X1,X2,X3)) )
| ~ spl42_221 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f2351,plain,
( spl42_227
| spl42_228
| ~ spl42_3
| ~ spl42_182 ),
inference(avatar_split_clause,[],[f1766,f1640,f467,f2348,f2344]) ).
fof(f1766,plain,
( n2 = sK13
| gt(n2,sK13)
| ~ spl42_3
| ~ spl42_182 ),
inference(resolution,[],[f1641,f469]) ).
fof(f2342,plain,
spl42_226,
inference(avatar_split_clause,[],[f436,f2340]) ).
fof(f2340,plain,
( spl42_226
<=> ! [X0,X1] :
( a_select3(X0,sK40(X0,X1),sK41(X0,X1)) != a_select3(X0,sK41(X0,X1),sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_226])]) ).
fof(f436,plain,
! [X0,X1] :
( a_select3(X0,sK40(X0,X1),sK41(X0,X1)) != a_select3(X0,sK41(X0,X1),sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ( a_select3(X0,sK40(X0,X1),sK41(X0,X1)) != a_select3(X0,sK41(X0,X1),sK40(X0,X1))
& leq(sK41(X0,X1),X1)
& leq(n0,sK41(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f246,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK40(X0,X1),sK41(X0,X1)) != a_select3(X0,sK41(X0,X1),sK40(X0,X1))
& leq(sK41(X0,X1),X1)
& leq(n0,sK41(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f245]) ).
fof(f245,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
inference(nnf_transformation,[],[f180]) ).
fof(f2338,plain,
spl42_225,
inference(avatar_split_clause,[],[f431,f2336]) ).
fof(f2336,plain,
( spl42_225
<=> ! [X0,X1] :
( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_225])]) ).
fof(f431,plain,
! [X0,X1] :
( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f241]) ).
fof(f241,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
inference(nnf_transformation,[],[f181]) ).
fof(f2334,plain,
spl42_224,
inference(avatar_split_clause,[],[f426,f2332]) ).
fof(f2332,plain,
( spl42_224
<=> ! [X0,X1] :
( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_224])]) ).
fof(f426,plain,
! [X0,X1] :
( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1)) )
| ~ sP12(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f238,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP12(X0,X1) ),
inference(rectify,[],[f237]) ).
fof(f237,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
inference(nnf_transformation,[],[f182]) ).
fof(f2330,plain,
spl42_223,
inference(avatar_split_clause,[],[f411,f2328]) ).
fof(f2328,plain,
( spl42_223
<=> ! [X0,X1] :
( a_select3(X0,sK32(X0,X1),sK33(X0,X1)) != a_select3(X0,sK33(X0,X1),sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_223])]) ).
fof(f411,plain,
! [X0,X1] :
( a_select3(X0,sK32(X0,X1),sK33(X0,X1)) != a_select3(X0,sK33(X0,X1),sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( a_select3(X0,sK32(X0,X1),sK33(X0,X1)) != a_select3(X0,sK33(X0,X1),sK32(X0,X1))
& leq(sK33(X0,X1),X1)
& leq(n0,sK33(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f229,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK32(X0,X1),sK33(X0,X1)) != a_select3(X0,sK33(X0,X1),sK32(X0,X1))
& leq(sK33(X0,X1),X1)
& leq(n0,sK33(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
inference(nnf_transformation,[],[f176]) ).
fof(f2325,plain,
spl42_222,
inference(avatar_split_clause,[],[f405,f2323]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK31(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f2319,plain,
spl42_221,
inference(avatar_split_clause,[],[f404,f2317]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK31(X1,X2,X3)) ),
inference(cnf_transformation,[],[f227]) ).
fof(f2315,plain,
spl42_220,
inference(avatar_split_clause,[],[f400,f2313]) ).
fof(f2313,plain,
( spl42_220
<=> ! [X0,X1] :
( a_select3(X0,sK29(X0,X1),sK30(X0,X1)) != a_select3(X0,sK30(X0,X1),sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).
fof(f400,plain,
! [X0,X1] :
( a_select3(X0,sK29(X0,X1),sK30(X0,X1)) != a_select3(X0,sK30(X0,X1),sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ( a_select3(X0,sK29(X0,X1),sK30(X0,X1)) != a_select3(X0,sK30(X0,X1),sK29(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f222,f223]) ).
fof(f223,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK29(X0,X1),sK30(X0,X1)) != a_select3(X0,sK30(X0,X1),sK29(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f221]) ).
fof(f221,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
inference(nnf_transformation,[],[f174]) ).
fof(f2311,plain,
spl42_219,
inference(avatar_split_clause,[],[f394,f2309]) ).
fof(f2309,plain,
( spl42_219
<=> ! [X0,X1] :
( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_219])]) ).
fof(f394,plain,
! [X0,X1] :
( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f217,f218]) ).
fof(f218,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f216]) ).
fof(f216,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
inference(nnf_transformation,[],[f171]) ).
fof(f2307,plain,
spl42_218,
inference(avatar_split_clause,[],[f389,f2305]) ).
fof(f2305,plain,
( spl42_218
<=> ! [X0,X1] :
( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_218])]) ).
fof(f389,plain,
! [X0,X1] :
( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f213,f214]) ).
fof(f214,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
inference(nnf_transformation,[],[f172]) ).
fof(f2303,plain,
( spl42_217
| ~ spl42_32
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f812,f800,f612,f2300]) ).
fof(f2300,plain,
( spl42_217
<=> use = a_select3(u_defuse,n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_217])]) ).
fof(f812,plain,
( use = a_select3(u_defuse,n2,tptp_float_0_0)
| ~ spl42_32
| ~ spl42_68 ),
inference(superposition,[],[f614,f802]) ).
fof(f2298,plain,
spl42_216,
inference(avatar_split_clause,[],[f383,f2296]) ).
fof(f2296,plain,
( spl42_216
<=> ! [X0,X1] :
( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_216])]) ).
fof(f383,plain,
! [X0,X1] :
( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f208,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
inference(nnf_transformation,[],[f168]) ).
fof(f2294,plain,
spl42_215,
inference(avatar_split_clause,[],[f378,f2292]) ).
fof(f2292,plain,
( spl42_215
<=> ! [X0,X1] :
( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_215])]) ).
fof(f378,plain,
! [X0,X1] :
( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f204,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f203]) ).
fof(f203,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
inference(nnf_transformation,[],[f169]) ).
fof(f2290,plain,
spl42_214,
inference(avatar_split_clause,[],[f359,f2288]) ).
fof(f2288,plain,
( spl42_214
<=> ! [X0,X1] :
( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_214])]) ).
fof(f359,plain,
! [X0,X1] :
( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f194,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f166]) ).
fof(f2286,plain,
spl42_213,
inference(avatar_split_clause,[],[f353,f2284]) ).
fof(f2284,plain,
( spl42_213
<=> ! [X0,X1] :
( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).
fof(f353,plain,
! [X0,X1] :
( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f190,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f164]) ).
fof(f2282,plain,
spl42_212,
inference(avatar_split_clause,[],[f347,f2280]) ).
fof(f2280,plain,
( spl42_212
<=> ! [X0,X1] :
( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_212])]) ).
fof(f347,plain,
! [X0,X1] :
( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f186,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f162]) ).
fof(f2278,plain,
spl42_211,
inference(avatar_split_clause,[],[f418,f2276]) ).
fof(f2276,plain,
( spl42_211
<=> ! [X0,X3,X2,X1] :
( a_select3(X1,sK34(X0,X1,X2,X3),sK35(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( a_select3(X1,sK34(X0,X1,X2,X3),sK35(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ( a_select3(X1,sK34(X0,X1,X2,X3),sK35(X0,X1,X2,X3)) != X0
& leq(sK35(X0,X1,X2,X3),X2)
& leq(sK34(X0,X1,X2,X3),X3)
& leq(n0,sK35(X0,X1,X2,X3))
& leq(n0,sK34(X0,X1,X2,X3)) )
| ~ sP9(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f234,f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(X1,sK34(X0,X1,X2,X3),sK35(X0,X1,X2,X3)) != X0
& leq(sK35(X0,X1,X2,X3),X2)
& leq(sK34(X0,X1,X2,X3),X3)
& leq(n0,sK35(X0,X1,X2,X3))
& leq(n0,sK34(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
| ~ sP9(X0,X1,X2,X3) ),
inference(rectify,[],[f233]) ).
fof(f233,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
inference(nnf_transformation,[],[f178]) ).
fof(f2242,plain,
( spl42_210
| ~ spl42_68
| ~ spl42_209 ),
inference(avatar_split_clause,[],[f2238,f2234,f800,f2240]) ).
fof(f2240,plain,
( spl42_210
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_210])]) ).
fof(f2234,plain,
( spl42_209
<=> ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f2238,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) )
| ~ spl42_68
| ~ spl42_209 ),
inference(forward_demodulation,[],[f2237,f802]) ).
fof(f2237,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_209 ),
inference(forward_demodulation,[],[f2235,f802]) ).
fof(f2235,plain,
( ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl42_209 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2236,plain,
spl42_209,
inference(avatar_split_clause,[],[f331,f2234]) ).
fof(f331,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',finite_domain_3) ).
fof(f2232,plain,
( spl42_208
| ~ spl42_31
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f811,f800,f607,f2229]) ).
fof(f2229,plain,
( spl42_208
<=> use = a_select3(u_defuse,n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).
fof(f811,plain,
( use = a_select3(u_defuse,n1,tptp_float_0_0)
| ~ spl42_31
| ~ spl42_68 ),
inference(superposition,[],[f609,f802]) ).
fof(f2189,plain,
spl42_207,
inference(avatar_split_clause,[],[f413,f2187]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4,X6,X0,X16,X24] :
( ( a_select2(X0,X6) = X16
& X4 != X6 )
=> a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sel2_update_2) ).
fof(f2087,plain,
( spl42_206
| ~ spl42_68
| ~ spl42_204 ),
inference(avatar_split_clause,[],[f2079,f2075,f800,f2085]) ).
fof(f2085,plain,
( spl42_206
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_206])]) ).
fof(f2075,plain,
( spl42_204
<=> ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).
fof(f2079,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) )
| ~ spl42_68
| ~ spl42_204 ),
inference(forward_demodulation,[],[f2078,f802]) ).
fof(f2078,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_204 ),
inference(forward_demodulation,[],[f2076,f802]) ).
fof(f2076,plain,
( ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl42_204 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f2083,plain,
spl42_205,
inference(avatar_split_clause,[],[f403,f2081]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X2)
& leq(X1,X0) )
=> a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6,X7] :
( ( leq(X4,X6)
& leq(X5,X4) )
=> a_select2(tptp_const_array1(dim(X5,X6),X7),X4) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',const_array1_select) ).
fof(f2077,plain,
spl42_204,
inference(avatar_split_clause,[],[f332,f2075]) ).
fof(f332,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',finite_domain_2) ).
fof(f2033,plain,
( spl42_203
| ~ spl42_30
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f810,f800,f602,f2030]) ).
fof(f2030,plain,
( spl42_203
<=> use = a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).
fof(f810,plain,
( use = a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0)
| ~ spl42_30
| ~ spl42_68 ),
inference(superposition,[],[f604,f802]) ).
fof(f2020,plain,
( spl42_202
| ~ spl42_68
| ~ spl42_197 ),
inference(avatar_split_clause,[],[f2000,f1997,f800,f2018]) ).
fof(f2018,plain,
( spl42_202
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK35(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_202])]) ).
fof(f1997,plain,
( spl42_197
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK35(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).
fof(f2000,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl42_68
| ~ spl42_197 ),
inference(forward_demodulation,[],[f1998,f802]) ).
fof(f1998,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK35(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl42_197 ),
inference(avatar_component_clause,[],[f1997]) ).
fof(f2016,plain,
( spl42_201
| ~ spl42_68
| ~ spl42_196 ),
inference(avatar_split_clause,[],[f1995,f1992,f800,f2014]) ).
fof(f2014,plain,
( spl42_201
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).
fof(f1992,plain,
( spl42_196
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_196])]) ).
fof(f1995,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl42_68
| ~ spl42_196 ),
inference(forward_demodulation,[],[f1993,f802]) ).
fof(f1993,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl42_196 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f2012,plain,
( spl42_200
| ~ spl42_68
| ~ spl42_195 ),
inference(avatar_split_clause,[],[f1990,f1986,f800,f2010]) ).
fof(f2010,plain,
( spl42_200
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_200])]) ).
fof(f1986,plain,
( spl42_195
<=> ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_195])]) ).
fof(f1990,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) )
| ~ spl42_68
| ~ spl42_195 ),
inference(forward_demodulation,[],[f1989,f802]) ).
fof(f1989,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_195 ),
inference(forward_demodulation,[],[f1987,f802]) ).
fof(f1987,plain,
( ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl42_195 ),
inference(avatar_component_clause,[],[f1986]) ).
fof(f2008,plain,
spl42_199,
inference(avatar_split_clause,[],[f417,f2006]) ).
fof(f2006,plain,
( spl42_199
<=> ! [X0,X3,X2,X1] :
( leq(sK35(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( leq(sK35(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f2004,plain,
spl42_198,
inference(avatar_split_clause,[],[f416,f2002]) ).
fof(f2002,plain,
( spl42_198
<=> ! [X0,X3,X2,X1] :
( leq(sK34(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_198])]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( leq(sK34(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1999,plain,
spl42_197,
inference(avatar_split_clause,[],[f415,f1997]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK35(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1994,plain,
spl42_196,
inference(avatar_split_clause,[],[f414,f1992]) ).
fof(f414,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f1988,plain,
spl42_195,
inference(avatar_split_clause,[],[f333,f1986]) ).
fof(f333,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',finite_domain_1) ).
fof(f1964,plain,
( spl42_194
| ~ spl42_81
| ~ spl42_147
| ~ spl42_186
| ~ spl42_193 ),
inference(avatar_split_clause,[],[f1960,f1956,f1657,f1329,f935,f1962]) ).
fof(f1956,plain,
( spl42_193
<=> ! [X0] : plus(n5,X0) = succ(plus(n2,plus(n2,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_193])]) ).
fof(f1960,plain,
( ! [X0] : plus(n5,X0) = succ(plus(X0,n4))
| ~ spl42_81
| ~ spl42_147
| ~ spl42_186
| ~ spl42_193 ),
inference(forward_demodulation,[],[f1959,f1658]) ).
fof(f1959,plain,
( ! [X0] : plus(n5,X0) = succ(succ(plus(X0,n3)))
| ~ spl42_81
| ~ spl42_147
| ~ spl42_193 ),
inference(forward_demodulation,[],[f1957,f1557]) ).
fof(f1957,plain,
( ! [X0] : plus(n5,X0) = succ(plus(n2,plus(n2,X0)))
| ~ spl42_193 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f1958,plain,
spl42_193,
inference(avatar_split_clause,[],[f455,f1956]) ).
fof(f455,plain,
! [X0] : plus(n5,X0) = succ(plus(n2,plus(n2,X0))),
inference(forward_demodulation,[],[f454,f321]) ).
fof(f454,plain,
! [X0] : plus(n5,X0) = succ(plus(n2,succ(succ(X0)))),
inference(forward_demodulation,[],[f328,f321]) ).
fof(f328,plain,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_5_l) ).
fof(f1932,plain,
( spl42_192
| ~ spl42_81
| ~ spl42_147
| ~ spl42_186
| ~ spl42_191 ),
inference(avatar_split_clause,[],[f1928,f1924,f1657,f1329,f935,f1930]) ).
fof(f1924,plain,
( spl42_191
<=> ! [X0] : plus(X0,n5) = succ(plus(n2,plus(n2,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_191])]) ).
fof(f1928,plain,
( ! [X0] : plus(X0,n5) = succ(plus(X0,n4))
| ~ spl42_81
| ~ spl42_147
| ~ spl42_186
| ~ spl42_191 ),
inference(forward_demodulation,[],[f1927,f1658]) ).
fof(f1927,plain,
( ! [X0] : plus(X0,n5) = succ(succ(plus(X0,n3)))
| ~ spl42_81
| ~ spl42_147
| ~ spl42_191 ),
inference(forward_demodulation,[],[f1925,f1557]) ).
fof(f1925,plain,
( ! [X0] : plus(X0,n5) = succ(plus(n2,plus(n2,X0)))
| ~ spl42_191 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f1926,plain,
spl42_191,
inference(avatar_split_clause,[],[f453,f1924]) ).
fof(f453,plain,
! [X0] : plus(X0,n5) = succ(plus(n2,plus(n2,X0))),
inference(forward_demodulation,[],[f452,f321]) ).
fof(f452,plain,
! [X0] : plus(X0,n5) = succ(plus(n2,succ(succ(X0)))),
inference(forward_demodulation,[],[f327,f321]) ).
fof(f327,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_5_r) ).
fof(f1922,plain,
spl42_190,
inference(avatar_split_clause,[],[f402,f1920]) ).
fof(f1920,plain,
( spl42_190
<=> ! [X2,X0,X1,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).
fof(f402,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X6,X23,X16] : a_select3(tptp_update3(X0,X6,X23,X16),X6,X23) = X16,
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sel3_update_1) ).
fof(f1722,plain,
( spl42_189
| ~ spl42_68
| ~ spl42_180 ),
inference(avatar_split_clause,[],[f1634,f1629,f800,f1720]) ).
fof(f1629,plain,
( spl42_180
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).
fof(f1634,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl42_68
| ~ spl42_180 ),
inference(forward_demodulation,[],[f1633,f802]) ).
fof(f1633,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_180 ),
inference(forward_demodulation,[],[f1632,f802]) ).
fof(f1632,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_180 ),
inference(forward_demodulation,[],[f1630,f802]) ).
fof(f1630,plain,
( ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl42_180 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1692,plain,
( spl42_188
| ~ spl42_81
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f1688,f1685,f935,f1690]) ).
fof(f1685,plain,
( spl42_187
<=> ! [X0] : plus(n4,X0) = succ(plus(n2,succ(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).
fof(f1688,plain,
( ! [X0] : plus(n4,X0) = succ(plus(X0,n3))
| ~ spl42_81
| ~ spl42_187 ),
inference(forward_demodulation,[],[f1686,f976]) ).
fof(f1686,plain,
( ! [X0] : plus(n4,X0) = succ(plus(n2,succ(X0)))
| ~ spl42_187 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1687,plain,
spl42_187,
inference(avatar_split_clause,[],[f451,f1685]) ).
fof(f451,plain,
! [X0] : plus(n4,X0) = succ(plus(n2,succ(X0))),
inference(forward_demodulation,[],[f326,f321]) ).
fof(f326,plain,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_4_l) ).
fof(f1659,plain,
( spl42_186
| ~ spl42_81
| ~ spl42_185 ),
inference(avatar_split_clause,[],[f1655,f1652,f935,f1657]) ).
fof(f1652,plain,
( spl42_185
<=> ! [X0] : plus(X0,n4) = succ(plus(n2,succ(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).
fof(f1655,plain,
( ! [X0] : plus(X0,n4) = succ(plus(X0,n3))
| ~ spl42_81
| ~ spl42_185 ),
inference(forward_demodulation,[],[f1653,f976]) ).
fof(f1653,plain,
( ! [X0] : plus(X0,n4) = succ(plus(n2,succ(X0)))
| ~ spl42_185 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1654,plain,
spl42_185,
inference(avatar_split_clause,[],[f450,f1652]) ).
fof(f450,plain,
! [X0] : plus(X0,n4) = succ(plus(n2,succ(X0))),
inference(forward_demodulation,[],[f325,f321]) ).
fof(f325,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_4_r) ).
fof(f1650,plain,
spl42_184,
inference(avatar_split_clause,[],[f373,f1648]) ).
fof(f373,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',transitivity_leq) ).
fof(f1646,plain,
spl42_183,
inference(avatar_split_clause,[],[f372,f1644]) ).
fof(f372,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',transitivity_gt) ).
fof(f1642,plain,
spl42_182,
inference(avatar_split_clause,[],[f342,f1640]) ).
fof(f342,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_gt2) ).
fof(f1638,plain,
spl42_181,
inference(avatar_split_clause,[],[f335,f1636]) ).
fof(f335,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',totality) ).
fof(f1631,plain,
spl42_180,
inference(avatar_split_clause,[],[f334,f1629]) ).
fof(f334,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',finite_domain_0) ).
fof(f1612,plain,
( spl42_179
| ~ spl42_24
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f809,f800,f572,f1609]) ).
fof(f1609,plain,
( spl42_179
<=> use = a_select2(xinit_noise_defuse,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).
fof(f809,plain,
( use = a_select2(xinit_noise_defuse,tptp_float_0_0)
| ~ spl42_24
| ~ spl42_68 ),
inference(superposition,[],[f574,f802]) ).
fof(f1595,plain,
( spl42_178
| ~ spl42_18
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f808,f800,f542,f1592]) ).
fof(f1592,plain,
( spl42_178
<=> use = a_select2(xinit_mean_defuse,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f808,plain,
( use = a_select2(xinit_mean_defuse,tptp_float_0_0)
| ~ spl42_18
| ~ spl42_68 ),
inference(superposition,[],[f544,f802]) ).
fof(f1551,plain,
( spl42_177
| ~ spl42_68
| ~ spl42_145 ),
inference(avatar_split_clause,[],[f1322,f1319,f800,f1549]) ).
fof(f1319,plain,
( spl42_145
<=> ! [X0,X1] :
( leq(n0,sK41(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).
fof(f1322,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK41(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl42_68
| ~ spl42_145 ),
inference(forward_demodulation,[],[f1320,f802]) ).
fof(f1320,plain,
( ! [X0,X1] :
( leq(n0,sK41(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl42_145 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1545,plain,
( spl42_176
| ~ spl42_68
| ~ spl42_143 ),
inference(avatar_split_clause,[],[f1313,f1310,f800,f1543]) ).
fof(f1310,plain,
( spl42_143
<=> ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).
fof(f1313,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl42_68
| ~ spl42_143 ),
inference(forward_demodulation,[],[f1311,f802]) ).
fof(f1311,plain,
( ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl42_143 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1539,plain,
( spl42_175
| ~ spl42_68
| ~ spl42_141 ),
inference(avatar_split_clause,[],[f1304,f1301,f800,f1537]) ).
fof(f1301,plain,
( spl42_141
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).
fof(f1304,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl42_68
| ~ spl42_141 ),
inference(forward_demodulation,[],[f1302,f802]) ).
fof(f1302,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl42_141 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1535,plain,
( spl42_174
| ~ spl42_9
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f807,f800,f497,f1532]) ).
fof(f1532,plain,
( spl42_174
<=> use = a_select2(sigma_defuse,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).
fof(f807,plain,
( use = a_select2(sigma_defuse,tptp_float_0_0)
| ~ spl42_9
| ~ spl42_68 ),
inference(superposition,[],[f499,f802]) ).
fof(f1528,plain,
( spl42_173
| ~ spl42_68
| ~ spl42_139 ),
inference(avatar_split_clause,[],[f1295,f1292,f800,f1526]) ).
fof(f1292,plain,
( spl42_139
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).
fof(f1295,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl42_68
| ~ spl42_139 ),
inference(forward_demodulation,[],[f1293,f802]) ).
fof(f1293,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl42_139 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1522,plain,
( spl42_172
| ~ spl42_68
| ~ spl42_137 ),
inference(avatar_split_clause,[],[f1286,f1283,f800,f1520]) ).
fof(f1283,plain,
( spl42_137
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_137])]) ).
fof(f1286,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl42_68
| ~ spl42_137 ),
inference(forward_demodulation,[],[f1284,f802]) ).
fof(f1284,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl42_137 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1516,plain,
( spl42_171
| ~ spl42_68
| ~ spl42_135 ),
inference(avatar_split_clause,[],[f1276,f1273,f800,f1514]) ).
fof(f1273,plain,
( spl42_135
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_135])]) ).
fof(f1276,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl42_68
| ~ spl42_135 ),
inference(forward_demodulation,[],[f1274,f802]) ).
fof(f1274,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl42_135 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1510,plain,
( spl42_170
| ~ spl42_68
| ~ spl42_133 ),
inference(avatar_split_clause,[],[f1267,f1264,f800,f1508]) ).
fof(f1264,plain,
( spl42_133
<=> ! [X0,X1] :
( leq(n0,sK33(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_133])]) ).
fof(f1267,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl42_68
| ~ spl42_133 ),
inference(forward_demodulation,[],[f1265,f802]) ).
fof(f1265,plain,
( ! [X0,X1] :
( leq(n0,sK33(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl42_133 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1504,plain,
( spl42_169
| ~ spl42_68
| ~ spl42_131 ),
inference(avatar_split_clause,[],[f1258,f1255,f800,f1502]) ).
fof(f1255,plain,
( spl42_131
<=> ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_131])]) ).
fof(f1258,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl42_68
| ~ spl42_131 ),
inference(forward_demodulation,[],[f1256,f802]) ).
fof(f1256,plain,
( ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl42_131 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1500,plain,
( spl42_168
| ~ spl42_6
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f806,f800,f482,f1497]) ).
fof(f1497,plain,
( spl42_168
<=> use = a_select2(rho_defuse,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).
fof(f806,plain,
( use = a_select2(rho_defuse,tptp_float_0_0)
| ~ spl42_6
| ~ spl42_68 ),
inference(superposition,[],[f484,f802]) ).
fof(f1493,plain,
( spl42_167
| ~ spl42_68
| ~ spl42_129 ),
inference(avatar_split_clause,[],[f1249,f1246,f800,f1491]) ).
fof(f1246,plain,
( spl42_129
<=> ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_129])]) ).
fof(f1249,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl42_68
| ~ spl42_129 ),
inference(forward_demodulation,[],[f1247,f802]) ).
fof(f1247,plain,
( ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl42_129 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1487,plain,
( spl42_166
| ~ spl42_68
| ~ spl42_127 ),
inference(avatar_split_clause,[],[f1240,f1237,f800,f1485]) ).
fof(f1237,plain,
( spl42_127
<=> ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).
fof(f1240,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl42_68
| ~ spl42_127 ),
inference(forward_demodulation,[],[f1238,f802]) ).
fof(f1238,plain,
( ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl42_127 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1481,plain,
( spl42_165
| ~ spl42_68
| ~ spl42_124 ),
inference(avatar_split_clause,[],[f1226,f1223,f800,f1479]) ).
fof(f1223,plain,
( spl42_124
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_124])]) ).
fof(f1226,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl42_68
| ~ spl42_124 ),
inference(forward_demodulation,[],[f1224,f802]) ).
fof(f1224,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl42_124 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1475,plain,
( spl42_164
| ~ spl42_68
| ~ spl42_122 ),
inference(avatar_split_clause,[],[f1217,f1214,f800,f1473]) ).
fof(f1214,plain,
( spl42_122
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_122])]) ).
fof(f1217,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl42_68
| ~ spl42_122 ),
inference(forward_demodulation,[],[f1215,f802]) ).
fof(f1215,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl42_122 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1469,plain,
( spl42_163
| ~ spl42_68
| ~ spl42_120 ),
inference(avatar_split_clause,[],[f1208,f1205,f800,f1467]) ).
fof(f1205,plain,
( spl42_120
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_120])]) ).
fof(f1208,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl42_68
| ~ spl42_120 ),
inference(forward_demodulation,[],[f1206,f802]) ).
fof(f1206,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl42_120 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1462,plain,
( spl42_162
| ~ spl42_68
| ~ spl42_118 ),
inference(avatar_split_clause,[],[f1199,f1196,f800,f1460]) ).
fof(f1196,plain,
( spl42_118
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_118])]) ).
fof(f1199,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl42_68
| ~ spl42_118 ),
inference(forward_demodulation,[],[f1197,f802]) ).
fof(f1197,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl42_118 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1456,plain,
( spl42_161
| ~ spl42_68
| ~ spl42_116 ),
inference(avatar_split_clause,[],[f1190,f1187,f800,f1454]) ).
fof(f1187,plain,
( spl42_116
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_116])]) ).
fof(f1190,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl42_68
| ~ spl42_116 ),
inference(forward_demodulation,[],[f1188,f802]) ).
fof(f1188,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl42_116 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1450,plain,
( spl42_160
| ~ spl42_68
| ~ spl42_113 ),
inference(avatar_split_clause,[],[f1176,f1173,f800,f1448]) ).
fof(f1173,plain,
( spl42_113
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_113])]) ).
fof(f1176,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl42_68
| ~ spl42_113 ),
inference(forward_demodulation,[],[f1174,f802]) ).
fof(f1174,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl42_113 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1444,plain,
( spl42_159
| ~ spl42_68
| ~ spl42_111 ),
inference(avatar_split_clause,[],[f1167,f1164,f800,f1442]) ).
fof(f1164,plain,
( spl42_111
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_111])]) ).
fof(f1167,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl42_68
| ~ spl42_111 ),
inference(forward_demodulation,[],[f1165,f802]) ).
fof(f1165,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl42_111 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1438,plain,
( spl42_158
| ~ spl42_68
| ~ spl42_109 ),
inference(avatar_split_clause,[],[f1158,f1155,f800,f1436]) ).
fof(f1155,plain,
( spl42_109
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_109])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl42_68
| ~ spl42_109 ),
inference(forward_demodulation,[],[f1156,f802]) ).
fof(f1156,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl42_109 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1382,plain,
( spl42_157
| ~ spl42_68
| ~ spl42_103 ),
inference(avatar_split_clause,[],[f1132,f1129,f800,f1380]) ).
fof(f1129,plain,
( spl42_103
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_103])]) ).
fof(f1132,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl42_68
| ~ spl42_103 ),
inference(forward_demodulation,[],[f1130,f802]) ).
fof(f1130,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl42_103 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1376,plain,
( spl42_156
| ~ spl42_68
| ~ spl42_101 ),
inference(avatar_split_clause,[],[f1123,f1120,f800,f1374]) ).
fof(f1120,plain,
( spl42_101
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_101])]) ).
fof(f1123,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl42_68
| ~ spl42_101 ),
inference(forward_demodulation,[],[f1121,f802]) ).
fof(f1121,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl42_101 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1370,plain,
( spl42_155
| ~ spl42_68
| ~ spl42_99 ),
inference(avatar_split_clause,[],[f1114,f1111,f800,f1368]) ).
fof(f1111,plain,
( spl42_99
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).
fof(f1114,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl42_68
| ~ spl42_99 ),
inference(forward_demodulation,[],[f1112,f802]) ).
fof(f1112,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl42_99 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1363,plain,
( spl42_154
| ~ spl42_68
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f1105,f1102,f800,f1361]) ).
fof(f1102,plain,
( spl42_97
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_97])]) ).
fof(f1105,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl42_68
| ~ spl42_97 ),
inference(forward_demodulation,[],[f1103,f802]) ).
fof(f1103,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl42_97 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1357,plain,
( spl42_153
| ~ spl42_68
| ~ spl42_95 ),
inference(avatar_split_clause,[],[f1096,f1093,f800,f1355]) ).
fof(f1093,plain,
( spl42_95
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).
fof(f1096,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl42_68
| ~ spl42_95 ),
inference(forward_demodulation,[],[f1094,f802]) ).
fof(f1094,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl42_95 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1351,plain,
( spl42_152
| ~ spl42_68
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f1082,f1079,f800,f1349]) ).
fof(f1079,plain,
( spl42_92
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).
fof(f1082,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl42_68
| ~ spl42_92 ),
inference(forward_demodulation,[],[f1080,f802]) ).
fof(f1080,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl42_92 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1347,plain,
( spl42_151
| ~ spl42_68
| ~ spl42_91 ),
inference(avatar_split_clause,[],[f1077,f1074,f800,f1345]) ).
fof(f1074,plain,
( spl42_91
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_91])]) ).
fof(f1077,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl42_68
| ~ spl42_91 ),
inference(forward_demodulation,[],[f1075,f802]) ).
fof(f1075,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl42_91 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1343,plain,
( spl42_150
| ~ spl42_68
| ~ spl42_90 ),
inference(avatar_split_clause,[],[f1072,f1069,f800,f1341]) ).
fof(f1069,plain,
( spl42_90
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl42_68
| ~ spl42_90 ),
inference(forward_demodulation,[],[f1070,f802]) ).
fof(f1070,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl42_90 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1339,plain,
( spl42_149
| ~ spl42_68
| ~ spl42_89 ),
inference(avatar_split_clause,[],[f1067,f1063,f800,f1337]) ).
fof(f1063,plain,
( spl42_89
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl42_68
| ~ spl42_89 ),
inference(forward_demodulation,[],[f1066,f802]) ).
fof(f1066,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl42_68
| ~ spl42_89 ),
inference(forward_demodulation,[],[f1064,f802]) ).
fof(f1064,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl42_89 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1335,plain,
spl42_148,
inference(avatar_split_clause,[],[f449,f1333]) ).
fof(f449,plain,
! [X0] : plus(n3,X0) = succ(plus(n2,X0)),
inference(forward_demodulation,[],[f324,f321]) ).
fof(f324,plain,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_3_l) ).
fof(f1331,plain,
spl42_147,
inference(avatar_split_clause,[],[f448,f1329]) ).
fof(f1326,plain,
spl42_146,
inference(avatar_split_clause,[],[f435,f1324]) ).
fof(f435,plain,
! [X0,X1] :
( leq(sK41(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1321,plain,
spl42_145,
inference(avatar_split_clause,[],[f434,f1319]) ).
fof(f434,plain,
! [X0,X1] :
( leq(n0,sK41(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1317,plain,
spl42_144,
inference(avatar_split_clause,[],[f433,f1315]) ).
fof(f433,plain,
! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1312,plain,
spl42_143,
inference(avatar_split_clause,[],[f432,f1310]) ).
fof(f432,plain,
! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f1308,plain,
spl42_142,
inference(avatar_split_clause,[],[f430,f1306]) ).
fof(f430,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1303,plain,
spl42_141,
inference(avatar_split_clause,[],[f429,f1301]) ).
fof(f429,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1299,plain,
spl42_140,
inference(avatar_split_clause,[],[f428,f1297]) ).
fof(f428,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1294,plain,
spl42_139,
inference(avatar_split_clause,[],[f427,f1292]) ).
fof(f427,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1290,plain,
spl42_138,
inference(avatar_split_clause,[],[f425,f1288]) ).
fof(f425,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1285,plain,
spl42_137,
inference(avatar_split_clause,[],[f424,f1283]) ).
fof(f424,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1280,plain,
spl42_136,
inference(avatar_split_clause,[],[f423,f1278]) ).
fof(f423,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1275,plain,
spl42_135,
inference(avatar_split_clause,[],[f422,f1273]) ).
fof(f422,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f1271,plain,
spl42_134,
inference(avatar_split_clause,[],[f410,f1269]) ).
fof(f410,plain,
! [X0,X1] :
( leq(sK33(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1266,plain,
spl42_133,
inference(avatar_split_clause,[],[f409,f1264]) ).
fof(f409,plain,
! [X0,X1] :
( leq(n0,sK33(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1262,plain,
spl42_132,
inference(avatar_split_clause,[],[f408,f1260]) ).
fof(f408,plain,
! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1257,plain,
spl42_131,
inference(avatar_split_clause,[],[f407,f1255]) ).
fof(f407,plain,
! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1253,plain,
spl42_130,
inference(avatar_split_clause,[],[f399,f1251]) ).
fof(f399,plain,
! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f1248,plain,
spl42_129,
inference(avatar_split_clause,[],[f398,f1246]) ).
fof(f398,plain,
! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f1244,plain,
spl42_128,
inference(avatar_split_clause,[],[f397,f1242]) ).
fof(f397,plain,
! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f1239,plain,
spl42_127,
inference(avatar_split_clause,[],[f396,f1237]) ).
fof(f396,plain,
! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f1235,plain,
( spl42_126
| ~ spl42_2
| ~ spl42_68
| ~ spl42_77 ),
inference(avatar_split_clause,[],[f928,f854,f800,f462,f1232]) ).
fof(f1232,plain,
( spl42_126
<=> geq(sK14,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).
fof(f928,plain,
( geq(sK14,tptp_float_0_0)
| ~ spl42_2
| ~ spl42_68
| ~ spl42_77 ),
inference(forward_demodulation,[],[f924,f802]) ).
fof(f924,plain,
( geq(sK14,n0)
| ~ spl42_2
| ~ spl42_77 ),
inference(resolution,[],[f855,f464]) ).
fof(f1230,plain,
spl42_125,
inference(avatar_split_clause,[],[f393,f1228]) ).
fof(f393,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1225,plain,
spl42_124,
inference(avatar_split_clause,[],[f392,f1223]) ).
fof(f392,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1221,plain,
spl42_123,
inference(avatar_split_clause,[],[f391,f1219]) ).
fof(f391,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1216,plain,
spl42_122,
inference(avatar_split_clause,[],[f390,f1214]) ).
fof(f390,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1212,plain,
spl42_121,
inference(avatar_split_clause,[],[f388,f1210]) ).
fof(f388,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1207,plain,
spl42_120,
inference(avatar_split_clause,[],[f387,f1205]) ).
fof(f387,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1203,plain,
spl42_119,
inference(avatar_split_clause,[],[f386,f1201]) ).
fof(f386,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1198,plain,
spl42_118,
inference(avatar_split_clause,[],[f385,f1196]) ).
fof(f385,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1194,plain,
spl42_117,
inference(avatar_split_clause,[],[f382,f1192]) ).
fof(f382,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1189,plain,
spl42_116,
inference(avatar_split_clause,[],[f381,f1187]) ).
fof(f381,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1185,plain,
( spl42_115
| ~ spl42_1
| ~ spl42_68
| ~ spl42_77 ),
inference(avatar_split_clause,[],[f927,f854,f800,f457,f1182]) ).
fof(f1182,plain,
( spl42_115
<=> geq(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_115])]) ).
fof(f927,plain,
( geq(sK13,tptp_float_0_0)
| ~ spl42_1
| ~ spl42_68
| ~ spl42_77 ),
inference(forward_demodulation,[],[f923,f802]) ).
fof(f923,plain,
( geq(sK13,n0)
| ~ spl42_1
| ~ spl42_77 ),
inference(resolution,[],[f855,f459]) ).
fof(f1180,plain,
spl42_114,
inference(avatar_split_clause,[],[f380,f1178]) ).
fof(f380,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1175,plain,
spl42_113,
inference(avatar_split_clause,[],[f379,f1173]) ).
fof(f379,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1171,plain,
spl42_112,
inference(avatar_split_clause,[],[f377,f1169]) ).
fof(f377,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1166,plain,
spl42_111,
inference(avatar_split_clause,[],[f376,f1164]) ).
fof(f376,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1162,plain,
spl42_110,
inference(avatar_split_clause,[],[f375,f1160]) ).
fof(f375,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1157,plain,
spl42_109,
inference(avatar_split_clause,[],[f374,f1155]) ).
fof(f374,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f1153,plain,
spl42_108,
inference(avatar_split_clause,[],[f371,f1151]) ).
fof(f1151,plain,
( spl42_108
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_108])]) ).
fof(f371,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sel2_update_1) ).
fof(f1149,plain,
spl42_107,
inference(avatar_split_clause,[],[f370,f1147]) ).
fof(f370,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( ( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_succ_succ) ).
fof(f1145,plain,
spl42_106,
inference(avatar_split_clause,[],[f369,f1143]) ).
fof(f369,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f1141,plain,
spl42_105,
inference(avatar_split_clause,[],[f358,f1139]) ).
fof(f358,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1137,plain,
( spl42_104
| ~ spl42_4
| ~ spl42_77 ),
inference(avatar_split_clause,[],[f926,f854,f472,f1134]) ).
fof(f1134,plain,
( spl42_104
<=> geq(tptp_minus_1,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_104])]) ).
fof(f926,plain,
( geq(tptp_minus_1,sK14)
| ~ spl42_4
| ~ spl42_77 ),
inference(resolution,[],[f855,f474]) ).
fof(f1131,plain,
spl42_103,
inference(avatar_split_clause,[],[f357,f1129]) ).
fof(f357,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1127,plain,
spl42_102,
inference(avatar_split_clause,[],[f356,f1125]) ).
fof(f356,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1122,plain,
spl42_101,
inference(avatar_split_clause,[],[f355,f1120]) ).
fof(f355,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1118,plain,
spl42_100,
inference(avatar_split_clause,[],[f352,f1116]) ).
fof(f352,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f1113,plain,
spl42_99,
inference(avatar_split_clause,[],[f351,f1111]) ).
fof(f351,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f1109,plain,
spl42_98,
inference(avatar_split_clause,[],[f350,f1107]) ).
fof(f350,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f1104,plain,
spl42_97,
inference(avatar_split_clause,[],[f349,f1102]) ).
fof(f349,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f1100,plain,
spl42_96,
inference(avatar_split_clause,[],[f346,f1098]) ).
fof(f346,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1095,plain,
spl42_95,
inference(avatar_split_clause,[],[f345,f1093]) ).
fof(f345,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1091,plain,
spl42_94,
inference(avatar_split_clause,[],[f344,f1089]) ).
fof(f344,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1087,plain,
( spl42_93
| ~ spl42_3
| ~ spl42_77 ),
inference(avatar_split_clause,[],[f925,f854,f467,f1084]) ).
fof(f925,plain,
( geq(n2,sK13)
| ~ spl42_3
| ~ spl42_77 ),
inference(resolution,[],[f855,f469]) ).
fof(f1081,plain,
spl42_92,
inference(avatar_split_clause,[],[f343,f1079]) ).
fof(f343,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1076,plain,
spl42_91,
inference(avatar_split_clause,[],[f341,f1074]) ).
fof(f341,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( leq(minus(X0,X1),X0)
=> leq(n0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_minus) ).
fof(f1071,plain,
spl42_90,
inference(avatar_split_clause,[],[f337,f1069]) ).
fof(f337,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X1,X0),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X3,X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',uniform_int_rand_ranges_hi) ).
fof(f1065,plain,
spl42_89,
inference(avatar_split_clause,[],[f336,f1063]) ).
fof(f336,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X3,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',uniform_int_rand_ranges_lo) ).
fof(f965,plain,
spl42_88,
inference(avatar_split_clause,[],[f368,f963]) ).
fof(f368,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_gt_pred) ).
fof(f961,plain,
spl42_87,
inference(avatar_split_clause,[],[f367,f959]) ).
fof(f367,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f957,plain,
spl42_86,
inference(avatar_split_clause,[],[f366,f955]) ).
fof(f366,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_succ_gt_equiv) ).
fof(f953,plain,
spl42_85,
inference(avatar_split_clause,[],[f365,f951]) ).
fof(f365,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f949,plain,
spl42_84,
inference(avatar_split_clause,[],[f340,f947]) ).
fof(f340,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_succ_gt) ).
fof(f945,plain,
spl42_83,
inference(avatar_split_clause,[],[f339,f943]) ).
fof(f339,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_succ) ).
fof(f941,plain,
spl42_82,
inference(avatar_split_clause,[],[f322,f939]) ).
fof(f322,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : plus(X0,n2) = succ(succ(X0)),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_2_r) ).
fof(f937,plain,
spl42_81,
inference(avatar_split_clause,[],[f321,f935]) ).
fof(f933,plain,
( spl42_80
| ~ spl42_2
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f805,f800,f462,f930]) ).
fof(f805,plain,
( leq(tptp_float_0_0,sK14)
| ~ spl42_2
| ~ spl42_68 ),
inference(superposition,[],[f464,f802]) ).
fof(f865,plain,
( spl42_79
| ~ spl42_68
| ~ spl42_72 ),
inference(avatar_split_clause,[],[f836,f833,f800,f863]) ).
fof(f863,plain,
( spl42_79
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_79])]) ).
fof(f833,plain,
( spl42_72
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).
fof(f836,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl42_68
| ~ spl42_72 ),
inference(forward_demodulation,[],[f834,f802]) ).
fof(f834,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl42_72 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f861,plain,
( spl42_78
| ~ spl42_1
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f804,f800,f457,f858]) ).
fof(f804,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl42_1
| ~ spl42_68 ),
inference(superposition,[],[f459,f802]) ).
fof(f856,plain,
spl42_77,
inference(avatar_split_clause,[],[f364,f854]) ).
fof(f364,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( geq(X0,X1)
<=> leq(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_geq) ).
fof(f852,plain,
spl42_76,
inference(avatar_split_clause,[],[f363,f850]) ).
fof(f850,plain,
( spl42_76
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_76])]) ).
fof(f363,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f848,plain,
spl42_75,
inference(avatar_split_clause,[],[f362,f846]) ).
fof(f362,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( lt(X0,X1)
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ lt(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( lt(X0,X1)
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',lt_gt) ).
fof(f844,plain,
spl42_74,
inference(avatar_split_clause,[],[f361,f842]) ).
fof(f361,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f840,plain,
spl42_73,
inference(avatar_split_clause,[],[f338,f838]) ).
fof(f338,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',leq_gt1) ).
fof(f835,plain,
spl42_72,
inference(avatar_split_clause,[],[f320,f833]) ).
fof(f320,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sum_plus_base_float) ).
fof(f831,plain,
spl42_71,
inference(avatar_split_clause,[],[f319,f829]) ).
fof(f829,plain,
( spl42_71
<=> ! [X0] : minus(X0,n1) = pred(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).
fof(f319,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',pred_minus_1) ).
fof(f827,plain,
spl42_70,
inference(avatar_split_clause,[],[f318,f825]) ).
fof(f318,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_1_l) ).
fof(f823,plain,
spl42_69,
inference(avatar_split_clause,[],[f317,f821]) ).
fof(f317,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_plus_1_r) ).
fof(f803,plain,
( spl42_68
| ~ spl42_67 ),
inference(avatar_split_clause,[],[f798,f795,f800]) ).
fof(f795,plain,
( spl42_67
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).
fof(f798,plain,
( n0 = tptp_float_0_0
| ~ spl42_67 ),
inference(forward_demodulation,[],[f796,f320]) ).
fof(f796,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl42_67 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
spl42_67,
inference(avatar_split_clause,[],[f316,f795]) ).
fof(f316,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',sum_plus_base) ).
fof(f786,plain,
spl42_66,
inference(avatar_split_clause,[],[f315,f784]) ).
fof(f315,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_pred) ).
fof(f782,plain,
spl42_65,
inference(avatar_split_clause,[],[f314,f780]) ).
fof(f314,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',pred_succ) ).
fof(f772,plain,
spl42_64,
inference(avatar_split_clause,[],[f447,f769]) ).
fof(f447,plain,
n5 = succ(n4),
inference(forward_demodulation,[],[f446,f443]) ).
fof(f443,plain,
n4 = succ(n3),
inference(forward_demodulation,[],[f442,f440]) ).
fof(f440,plain,
n3 = succ(n2),
inference(forward_demodulation,[],[f439,f438]) ).
fof(f438,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f307,f305]) ).
fof(f305,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',successor_1) ).
fof(f307,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',successor_2) ).
fof(f439,plain,
n3 = succ(succ(n1)),
inference(forward_demodulation,[],[f308,f305]) ).
fof(f308,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',successor_3) ).
fof(f442,plain,
n4 = succ(succ(n2)),
inference(forward_demodulation,[],[f441,f438]) ).
fof(f441,plain,
n4 = succ(succ(succ(n1))),
inference(forward_demodulation,[],[f309,f305]) ).
fof(f309,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',successor_4) ).
fof(f446,plain,
n5 = succ(succ(n3)),
inference(forward_demodulation,[],[f445,f440]) ).
fof(f445,plain,
n5 = succ(succ(succ(n2))),
inference(forward_demodulation,[],[f444,f438]) ).
fof(f444,plain,
n5 = succ(succ(succ(succ(n1)))),
inference(forward_demodulation,[],[f310,f305]) ).
fof(f310,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',successor_5) ).
fof(f767,plain,
spl42_63,
inference(avatar_split_clause,[],[f443,f764]) ).
fof(f762,plain,
spl42_62,
inference(avatar_split_clause,[],[f440,f759]) ).
fof(f757,plain,
spl42_61,
inference(avatar_split_clause,[],[f438,f754]) ).
fof(f752,plain,
spl42_60,
inference(avatar_split_clause,[],[f313,f750]) ).
fof(f313,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_succ) ).
fof(f748,plain,
spl42_59,
inference(avatar_split_clause,[],[f306,f745]) ).
fof(f306,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',succ_tptp_minus_1) ).
fof(f743,plain,
spl42_58,
inference(avatar_split_clause,[],[f305,f740]) ).
fof(f738,plain,
spl42_57,
inference(avatar_split_clause,[],[f312,f736]) ).
fof(f312,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',reflexivity_leq) ).
fof(f734,plain,
spl42_56,
inference(avatar_split_clause,[],[f311,f732]) ).
fof(f311,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',irreflexivity_gt) ).
fof(f730,plain,
spl42_55,
inference(avatar_split_clause,[],[f304,f727]) ).
fof(f304,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_0_tptp_minus_1) ).
fof(f725,plain,
spl42_54,
inference(avatar_split_clause,[],[f303,f722]) ).
fof(f303,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_1_0) ).
fof(f720,plain,
spl42_53,
inference(avatar_split_clause,[],[f302,f717]) ).
fof(f302,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_1_tptp_minus_1) ).
fof(f715,plain,
spl42_52,
inference(avatar_split_clause,[],[f301,f712]) ).
fof(f301,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_2_0) ).
fof(f710,plain,
spl42_51,
inference(avatar_split_clause,[],[f300,f707]) ).
fof(f300,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_2_1) ).
fof(f705,plain,
spl42_50,
inference(avatar_split_clause,[],[f299,f702]) ).
fof(f299,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_2_tptp_minus_1) ).
fof(f700,plain,
spl42_49,
inference(avatar_split_clause,[],[f298,f697]) ).
fof(f298,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_3_0) ).
fof(f695,plain,
spl42_48,
inference(avatar_split_clause,[],[f297,f692]) ).
fof(f297,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_3_1) ).
fof(f690,plain,
spl42_47,
inference(avatar_split_clause,[],[f296,f687]) ).
fof(f296,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_3_2) ).
fof(f685,plain,
spl42_46,
inference(avatar_split_clause,[],[f295,f682]) ).
fof(f295,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_3_tptp_minus_1) ).
fof(f680,plain,
spl42_45,
inference(avatar_split_clause,[],[f294,f677]) ).
fof(f294,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_4_0) ).
fof(f675,plain,
spl42_44,
inference(avatar_split_clause,[],[f293,f672]) ).
fof(f293,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_4_1) ).
fof(f670,plain,
spl42_43,
inference(avatar_split_clause,[],[f292,f667]) ).
fof(f292,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_4_2) ).
fof(f665,plain,
spl42_42,
inference(avatar_split_clause,[],[f291,f662]) ).
fof(f291,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_4_3) ).
fof(f660,plain,
spl42_41,
inference(avatar_split_clause,[],[f290,f657]) ).
fof(f290,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_4_tptp_minus_1) ).
fof(f655,plain,
spl42_40,
inference(avatar_split_clause,[],[f289,f652]) ).
fof(f289,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_5_0) ).
fof(f650,plain,
spl42_39,
inference(avatar_split_clause,[],[f288,f647]) ).
fof(f288,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_5_1) ).
fof(f645,plain,
spl42_38,
inference(avatar_split_clause,[],[f287,f642]) ).
fof(f287,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_5_2) ).
fof(f640,plain,
spl42_37,
inference(avatar_split_clause,[],[f286,f637]) ).
fof(f286,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_5_3) ).
fof(f635,plain,
spl42_36,
inference(avatar_split_clause,[],[f285,f632]) ).
fof(f285,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_5_4) ).
fof(f630,plain,
spl42_35,
inference(avatar_split_clause,[],[f284,f627]) ).
fof(f284,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',gt_5_tptp_minus_1) ).
fof(f625,plain,
~ spl42_34,
inference(avatar_split_clause,[],[f283,f622]) ).
fof(f622,plain,
( spl42_34
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl42_34])]) ).
fof(f283,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',defuse) ).
fof(f620,plain,
~ spl42_33,
inference(avatar_split_clause,[],[f281,f617]) ).
fof(f617,plain,
( spl42_33
<=> use = a_select3(z_defuse,sK13,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_33])]) ).
fof(f281,plain,
use != a_select3(z_defuse,sK13,sK14),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( use != a_select3(z_defuse,sK13,sK14)
& leq(sK14,tptp_minus_1)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f109,f184]) ).
fof(f184,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& leq(X1,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use != a_select3(z_defuse,sK13,sK14)
& leq(sK14,tptp_minus_1)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& leq(X1,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& leq(X1,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X0,X1] :
( ( leq(X1,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> use = a_select3(z_defuse,X0,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X13,X17] :
( ( leq(X17,tptp_minus_1)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(z_defuse,X13,X17) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X13,X17] :
( ( leq(X17,tptp_minus_1)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(z_defuse,X13,X17) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',quaternion_ds1_inuse_0002) ).
fof(f615,plain,
spl42_32,
inference(avatar_split_clause,[],[f261,f612]) ).
fof(f261,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f185]) ).
fof(f610,plain,
spl42_31,
inference(avatar_split_clause,[],[f260,f607]) ).
fof(f260,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f185]) ).
fof(f605,plain,
spl42_30,
inference(avatar_split_clause,[],[f259,f602]) ).
fof(f259,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f185]) ).
fof(f600,plain,
spl42_29,
inference(avatar_split_clause,[],[f276,f597]) ).
fof(f276,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f185]) ).
fof(f595,plain,
spl42_28,
inference(avatar_split_clause,[],[f275,f592]) ).
fof(f275,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f185]) ).
fof(f590,plain,
spl42_27,
inference(avatar_split_clause,[],[f274,f587]) ).
fof(f274,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f185]) ).
fof(f585,plain,
spl42_26,
inference(avatar_split_clause,[],[f273,f582]) ).
fof(f273,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f185]) ).
fof(f580,plain,
spl42_25,
inference(avatar_split_clause,[],[f272,f577]) ).
fof(f272,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f185]) ).
fof(f575,plain,
spl42_24,
inference(avatar_split_clause,[],[f271,f572]) ).
fof(f271,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f185]) ).
fof(f570,plain,
spl42_23,
inference(avatar_split_clause,[],[f270,f567]) ).
fof(f270,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f185]) ).
fof(f565,plain,
spl42_22,
inference(avatar_split_clause,[],[f269,f562]) ).
fof(f269,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f185]) ).
fof(f560,plain,
spl42_21,
inference(avatar_split_clause,[],[f268,f557]) ).
fof(f268,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f185]) ).
fof(f555,plain,
spl42_20,
inference(avatar_split_clause,[],[f267,f552]) ).
fof(f267,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f185]) ).
fof(f550,plain,
spl42_19,
inference(avatar_split_clause,[],[f266,f547]) ).
fof(f266,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f185]) ).
fof(f545,plain,
spl42_18,
inference(avatar_split_clause,[],[f265,f542]) ).
fof(f265,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f185]) ).
fof(f540,plain,
spl42_17,
inference(avatar_split_clause,[],[f264,f537]) ).
fof(f264,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f185]) ).
fof(f535,plain,
spl42_16,
inference(avatar_split_clause,[],[f263,f532]) ).
fof(f263,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f185]) ).
fof(f530,plain,
spl42_15,
inference(avatar_split_clause,[],[f262,f527]) ).
fof(f262,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f185]) ).
fof(f525,plain,
spl42_14,
inference(avatar_split_clause,[],[f258,f522]) ).
fof(f258,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f185]) ).
fof(f520,plain,
spl42_13,
inference(avatar_split_clause,[],[f257,f517]) ).
fof(f257,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f185]) ).
fof(f515,plain,
spl42_12,
inference(avatar_split_clause,[],[f256,f512]) ).
fof(f256,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f185]) ).
fof(f510,plain,
spl42_11,
inference(avatar_split_clause,[],[f255,f507]) ).
fof(f255,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f185]) ).
fof(f505,plain,
spl42_10,
inference(avatar_split_clause,[],[f254,f502]) ).
fof(f254,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f185]) ).
fof(f500,plain,
spl42_9,
inference(avatar_split_clause,[],[f253,f497]) ).
fof(f253,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f185]) ).
fof(f495,plain,
spl42_8,
inference(avatar_split_clause,[],[f252,f492]) ).
fof(f252,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f185]) ).
fof(f490,plain,
spl42_7,
inference(avatar_split_clause,[],[f251,f487]) ).
fof(f251,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f185]) ).
fof(f485,plain,
spl42_6,
inference(avatar_split_clause,[],[f250,f482]) ).
fof(f250,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f185]) ).
fof(f480,plain,
spl42_5,
inference(avatar_split_clause,[],[f282,f477]) ).
fof(f477,plain,
( spl42_5
<=> true ),
introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).
fof(f282,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/tmp/tmp.dJmLbtIr4g/Vampire---4.8_29173',ttrue) ).
fof(f475,plain,
spl42_4,
inference(avatar_split_clause,[],[f280,f472]) ).
fof(f280,plain,
leq(sK14,tptp_minus_1),
inference(cnf_transformation,[],[f185]) ).
fof(f470,plain,
spl42_3,
inference(avatar_split_clause,[],[f279,f467]) ).
fof(f279,plain,
leq(sK13,n2),
inference(cnf_transformation,[],[f185]) ).
fof(f465,plain,
spl42_2,
inference(avatar_split_clause,[],[f278,f462]) ).
fof(f278,plain,
leq(n0,sK14),
inference(cnf_transformation,[],[f185]) ).
fof(f460,plain,
spl42_1,
inference(avatar_split_clause,[],[f277,f457]) ).
fof(f277,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.17 % Problem : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.39 % Computer : n001.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Wed Aug 30 18:11:25 EDT 2023
% 0.16/0.39 % CPUTime :
% 0.23/0.45 % (29279)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (29283)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.46 % (29281)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.46 % (29282)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 Vampire---4 for (569ds/0Mi)
% 0.23/0.46 % (29284)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 Vampire---4 for (531ds/0Mi)
% 0.23/0.46 % (29280)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.46 % (29286)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 Vampire---4 for (497ds/0Mi)
% 0.23/0.46 % (29285)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 Vampire---4 for (522ds/0Mi)
% 0.23/0.55 TRYING [1]
% 0.23/0.56 TRYING [2]
% 0.23/0.73 TRYING [3]
% 2.49/0.84 % (29284)First to succeed.
% 3.10/0.87 % (29284)Refutation found. Thanks to Tanya!
% 3.10/0.87 % SZS status Theorem for Vampire---4
% 3.10/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 3.10/0.90 % (29284)------------------------------
% 3.10/0.90 % (29284)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.10/0.90 % (29284)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.10/0.90 % (29284)Termination reason: Refutation
% 3.10/0.90
% 3.10/0.90 % (29284)Memory used [KB]: 15479
% 3.10/0.90 % (29284)Time elapsed: 0.410 s
% 3.10/0.90 % (29284)------------------------------
% 3.10/0.90 % (29284)------------------------------
% 3.10/0.90 % (29279)Success in time 0.497 s
% 3.10/0.90 % Vampire---4.8 exiting
%------------------------------------------------------------------------------