TSTP Solution File: NUM845+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:42:33 EDT 2024
% Result : Theorem 93.01s 13.67s
% Output : Refutation 93.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 703
% Syntax : Number of formulae : 2412 ( 100 unt; 0 def)
% Number of atoms : 8030 (1170 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 10348 (4730 ~;4864 |; 40 &)
% ( 659 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 657 ( 655 usr; 652 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 3403 (3379 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60424,plain,
$false,
inference(avatar_sat_refutation,[],[f276,f282,f286,f290,f294,f298,f302,f307,f314,f318,f322,f326,f330,f334,f338,f346,f350,f354,f358,f362,f366,f371,f375,f387,f391,f414,f418,f428,f432,f436,f440,f445,f449,f453,f457,f462,f466,f471,f486,f498,f502,f506,f510,f514,f518,f523,f527,f531,f610,f614,f618,f742,f746,f750,f754,f845,f911,f923,f933,f945,f961,f969,f981,f985,f989,f1025,f1030,f1034,f1091,f1100,f1104,f1108,f1112,f1116,f1121,f1125,f1129,f1133,f1137,f1141,f1198,f1235,f1240,f1343,f1347,f1355,f1359,f1363,f1367,f1371,f1375,f1379,f1524,f1528,f1532,f1536,f1541,f1545,f1627,f1631,f1647,f1651,f1655,f1659,f1663,f1667,f1671,f1675,f1679,f1683,f1707,f1838,f1842,f1848,f1852,f1856,f1860,f1944,f1948,f1952,f1956,f1960,f1964,f1968,f1972,f1976,f1980,f1989,f1993,f1997,f2001,f2182,f2429,f2433,f2437,f2441,f2446,f2450,f2454,f2458,f2462,f2466,f2470,f2474,f2478,f2482,f2486,f2824,f2984,f2988,f2992,f2996,f3000,f3004,f3008,f3012,f3016,f4189,f4193,f4197,f4201,f4205,f4209,f4213,f4217,f4221,f4225,f4229,f4236,f4240,f4488,f4492,f4496,f4500,f4504,f4508,f4526,f4530,f4534,f4538,f4542,f4546,f4550,f4554,f4558,f4562,f4577,f4581,f4585,f4589,f4593,f4597,f4601,f4691,f5785,f5789,f5793,f5797,f5801,f5805,f5809,f5813,f5817,f5821,f5825,f5829,f5833,f5837,f5841,f5845,f5849,f5853,f5857,f5861,f5865,f5869,f5873,f5877,f5881,f5885,f5889,f5893,f5897,f5901,f5905,f5909,f5913,f5917,f5921,f5925,f5929,f5933,f5937,f5941,f5945,f5949,f6715,f7601,f8323,f8764,f8768,f8772,f8776,f8780,f8784,f8788,f8792,f8796,f8800,f8804,f8823,f8827,f8831,f8835,f8839,f8843,f8848,f10512,f11668,f11981,f11985,f11989,f11993,f11997,f12001,f12030,f12034,f12038,f12042,f12046,f12050,f12054,f12058,f12062,f12066,f12074,f12078,f12082,f12086,f12090,f12094,f12098,f12102,f12106,f12110,f12114,f12118,f12122,f12126,f12130,f12134,f12138,f12142,f12347,f13151,f13974,f14880,f14884,f15275,f15279,f15285,f15289,f15319,f15323,f15327,f15331,f15335,f15339,f15343,f15347,f15351,f15355,f15364,f15368,f15372,f15376,f15380,f15384,f15388,f15392,f15396,f15878,f16276,f16280,f16284,f16288,f16292,f16296,f16300,f16304,f16308,f16312,f16462,f21214,f21218,f21223,f21227,f21231,f21235,f21239,f21243,f21247,f21251,f21255,f21259,f21263,f21292,f21296,f21300,f21304,f21461,f21465,f23411,f23561,f23566,f23714,f23725,f23873,f23878,f23883,f23887,f23891,f23895,f24103,f24112,f24122,f24163,f24167,f24171,f24175,f24179,f24183,f24187,f24191,f24195,f24199,f24203,f24212,f24216,f24220,f24224,f24228,f24370,f24861,f24865,f24869,f24873,f24877,f24881,f24885,f24889,f24893,f24897,f24905,f24914,f24918,f24922,f24926,f24930,f24934,f24938,f24942,f24949,f24953,f24957,f24961,f24965,f24969,f24973,f24977,f24981,f24985,f24994,f24998,f25002,f25006,f25010,f25014,f25018,f25022,f25026,f25030,f25052,f25056,f25060,f25064,f25068,f25072,f25076,f25080,f25084,f25110,f25364,f25666,f26341,f26581,f26585,f26589,f26593,f26597,f26630,f26634,f26638,f31250,f31343,f31347,f31351,f31355,f31359,f32066,f32600,f32606,f32617,f32621,f33205,f33446,f33448,f33646,f33654,f33658,f33666,f33674,f33682,f33690,f33698,f33706,f33715,f33724,f33731,f33739,f33744,f33754,f34521,f34527,f34684,f34696,f34700,f34704,f34708,f34712,f34716,f34720,f34724,f34728,f34732,f34741,f34745,f34749,f34753,f34757,f34761,f34765,f34769,f34773,f34777,f34787,f34791,f34796,f34800,f34804,f34808,f34812,f34816,f34820,f34824,f34828,f34832,f34836,f34840,f34844,f34848,f34852,f34856,f34860,f34864,f34868,f34869,f34875,f34879,f34883,f34887,f34891,f34895,f34899,f35098,f40428,f42779,f48353,f48367,f48374,f48381,f48388,f48395,f48402,f48409,f48416,f48423,f48430,f48444,f48451,f48458,f48465,f48472,f48479,f48486,f48493,f48500,f48506,f48514,f48518,f48525,f48532,f48539,f48546,f48553,f48560,f48567,f48579,f48587,f48592,f48596,f48603,f48609,f48616,f48623,f48630,f48637,f48643,f48651,f48655,f48662,f48668,f48675,f48682,f48689,f48696,f48703,f48710,f48716,f48724,f49413,f49417,f49421,f49425,f49429,f49433,f49437,f49446,f49450,f49454,f49458,f49462,f49466,f49470,f49474,f49478,f49482,f49487,f51191,f51196,f51203,f51210,f51216,f51222,f51229,f51236,f51243,f51257,f51264,f51271,f51278,f51285,f51292,f51299,f51305,f51311,f51317,f51325,f51331,f51338,f51344,f51350,f51356,f51363,f51369,f51376,f51382,f51389,f51393,f51400,f51406,f51412,f51419,f51425,f51432,f51438,f51444,f51450,f51455,f51459,f51463,f51467,f51471,f52280,f55819,f57879,f59403,f60158,f60411,f60416,f60421,f60423]) ).
fof(f60423,plain,
( spl5_9
| ~ spl5_473
| ~ spl5_651 ),
inference(avatar_split_clause,[],[f60422,f60418,f33741,f311]) ).
fof(f311,plain,
( spl5_9
<=> vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) = vmul(vplus(vd411,v1),vplus(sK0,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f33741,plain,
( spl5_473
<=> vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_473])]) ).
fof(f60418,plain,
( spl5_651
<=> vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_651])]) ).
fof(f60422,plain,
( vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) = vmul(vplus(vd411,v1),vplus(sK0,v1))
| ~ spl5_473
| ~ spl5_651 ),
inference(forward_demodulation,[],[f60420,f33743]) ).
fof(f33743,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0))))
| ~ spl5_473 ),
inference(avatar_component_clause,[],[f33741]) ).
fof(f60420,plain,
( vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0))))
| ~ spl5_651 ),
inference(avatar_component_clause,[],[f60418]) ).
fof(f60421,plain,
( spl5_651
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_63
| ~ spl5_65
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1078,f1022,f987,f979,f612,f608,f385,f60418]) ).
fof(f385,plain,
( spl5_24
<=> ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f608,plain,
( spl5_49
<=> ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f612,plain,
( spl5_50
<=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f979,plain,
( spl5_63
<=> ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f987,plain,
( spl5_65
<=> ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X0))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
fof(f1022,plain,
( spl5_66
<=> vmul(vplus(vd411,v1),sK0) = vplus(sK0,vmul(vd411,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
fof(f1078,plain,
( vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0))))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_63
| ~ spl5_65
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1077,f386]) ).
fof(f386,plain,
( ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0)
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f1077,plain,
( vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0))))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_63
| ~ spl5_65
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1067,f1074]) ).
fof(f1074,plain,
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0))))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_65
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1073,f624]) ).
fof(f624,plain,
( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1))
| ~ spl5_24
| ~ spl5_49 ),
inference(superposition,[],[f609,f386]) ).
fof(f609,plain,
( ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f1073,plain,
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))) = vplus(sK0,vplus(v1,vplus(vmul(vd411,sK0),vd411)))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_65
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1072,f613]) ).
fof(f613,plain,
( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1))
| ~ spl5_50 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f1072,plain,
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))) = vplus(sK0,vplus(vmul(vd411,sK0),vplus(v1,vd411)))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_65
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1071,f386]) ).
fof(f1071,plain,
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))) = vplus(sK0,vplus(vplus(v1,vd411),vmul(vd411,sK0)))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_65
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1070,f624]) ).
fof(f1070,plain,
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))) = vplus(vmul(vd411,sK0),vplus(sK0,vplus(v1,vd411)))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_65
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1069,f624]) ).
fof(f1069,plain,
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))) = vplus(vmul(vd411,sK0),vplus(vd411,vplus(sK0,v1)))
| ~ spl5_65
| ~ spl5_66 ),
inference(trivial_inequality_removal,[],[f1035]) ).
fof(f1035,plain,
( vmul(vplus(vd411,v1),sK0) != vmul(vplus(vd411,v1),sK0)
| vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0))) = vplus(vmul(vd411,sK0),vplus(vd411,vplus(sK0,v1)))
| ~ spl5_65
| ~ spl5_66 ),
inference(superposition,[],[f988,f1024]) ).
fof(f1024,plain,
( vmul(vplus(vd411,v1),sK0) = vplus(sK0,vmul(vd411,sK0))
| ~ spl5_66 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f988,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X0))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) )
| ~ spl5_65 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f1067,plain,
( vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_63
| ~ spl5_66 ),
inference(trivial_inequality_removal,[],[f1037]) ).
fof(f1037,plain,
( vmul(vplus(vd411,v1),sK0) != vmul(vplus(vd411,v1),sK0)
| vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_63
| ~ spl5_66 ),
inference(superposition,[],[f980,f1024]) ).
fof(f980,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X0))) )
| ~ spl5_63 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f60416,plain,
( spl5_650
| ~ spl5_41
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f954,f520,f500,f60413]) ).
fof(f60413,plain,
( spl5_650
<=> vmul(vplus(vd411,v1),sK0) = vplus(vmul(vd411,sK0),sK3(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_650])]) ).
fof(f500,plain,
( spl5_41
<=> ! [X0,X1] :
( vplus(X1,sK3(X0,X1)) = X0
| ~ less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f520,plain,
( spl5_46
<=> less(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f954,plain,
( vmul(vplus(vd411,v1),sK0) = vplus(vmul(vd411,sK0),sK3(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0)))
| ~ spl5_41
| ~ spl5_46 ),
inference(resolution,[],[f522,f501]) ).
fof(f501,plain,
( ! [X0,X1] :
( ~ less(X1,X0)
| vplus(X1,sK3(X0,X1)) = X0 )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f522,plain,
( less(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0))
| ~ spl5_46 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f60411,plain,
( spl5_649
| ~ spl5_32
| ~ spl5_42 ),
inference(avatar_split_clause,[],[f603,f504,f442,f60408]) ).
fof(f60408,plain,
( spl5_649
<=> vmul(vplus(vd411,v1),sK0) = vplus(vmul(vd411,sK0),sK4(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_649])]) ).
fof(f442,plain,
( spl5_32
<=> greater(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f504,plain,
( spl5_42
<=> ! [X0,X1] :
( vplus(X0,sK4(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f603,plain,
( vmul(vplus(vd411,v1),sK0) = vplus(vmul(vd411,sK0),sK4(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0)))
| ~ spl5_32
| ~ spl5_42 ),
inference(resolution,[],[f444,f505]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK4(X0,X1)) = X1 )
| ~ spl5_42 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f444,plain,
( greater(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0))
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f60158,plain,
( spl5_648
| ~ spl5_31
| ~ spl5_599 ),
inference(avatar_split_clause,[],[f53220,f49484,f438,f60156]) ).
fof(f60156,plain,
( spl5_648
<=> ! [X0] :
( ~ leq(X0,vd411)
| leq(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_648])]) ).
fof(f438,plain,
( spl5_31
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f49484,plain,
( spl5_599
<=> leq(vd411,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_599])]) ).
fof(f53220,plain,
( ! [X0] :
( ~ leq(X0,vd411)
| leq(X0,sK0) )
| ~ spl5_31
| ~ spl5_599 ),
inference(resolution,[],[f49486,f439]) ).
fof(f439,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) )
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f49486,plain,
( leq(vd411,sK0)
| ~ spl5_599 ),
inference(avatar_component_clause,[],[f49484]) ).
fof(f59403,plain,
( spl5_647
| ~ spl5_34
| ~ spl5_599 ),
inference(avatar_split_clause,[],[f53219,f49484,f451,f59401]) ).
fof(f59401,plain,
( spl5_647
<=> ! [X0] :
( less(vd411,X0)
| ~ less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_647])]) ).
fof(f451,plain,
( spl5_34
<=> ! [X2,X0,X1] :
( less(X0,X2)
| ~ leq(X0,X1)
| ~ less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f53219,plain,
( ! [X0] :
( less(vd411,X0)
| ~ less(sK0,X0) )
| ~ spl5_34
| ~ spl5_599 ),
inference(resolution,[],[f49486,f452]) ).
fof(f452,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| less(X0,X2)
| ~ less(X1,X2) )
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f57879,plain,
( spl5_646
| ~ spl5_33
| ~ spl5_472 ),
inference(avatar_split_clause,[],[f49440,f33736,f447,f57877]) ).
fof(f57877,plain,
( spl5_646
<=> ! [X0] :
( ~ less(X0,vd411)
| less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_646])]) ).
fof(f447,plain,
( spl5_33
<=> ! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f33736,plain,
( spl5_472
<=> less(vd411,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_472])]) ).
fof(f49440,plain,
( ! [X0] :
( ~ less(X0,vd411)
| less(X0,sK0) )
| ~ spl5_33
| ~ spl5_472 ),
inference(resolution,[],[f33737,f448]) ).
fof(f448,plain,
( ! [X2,X0,X1] :
( ~ less(X1,X2)
| ~ less(X0,X1)
| less(X0,X2) )
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f33737,plain,
( less(vd411,sK0)
| ~ spl5_472 ),
inference(avatar_component_clause,[],[f33736]) ).
fof(f55819,plain,
( spl5_645
| ~ spl5_17
| ~ spl5_599 ),
inference(avatar_split_clause,[],[f53222,f49484,f348,f55816]) ).
fof(f55816,plain,
( spl5_645
<=> geq(sK0,vd411) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_645])]) ).
fof(f348,plain,
( spl5_17
<=> ! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f53222,plain,
( geq(sK0,vd411)
| ~ spl5_17
| ~ spl5_599 ),
inference(resolution,[],[f49486,f349]) ).
fof(f349,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| geq(X1,X0) )
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f52280,plain,
( spl5_644
| ~ spl5_19
| ~ spl5_472 ),
inference(avatar_split_clause,[],[f49442,f33736,f356,f52277]) ).
fof(f52277,plain,
( spl5_644
<=> greater(sK0,vd411) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_644])]) ).
fof(f356,plain,
( spl5_19
<=> ! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f49442,plain,
( greater(sK0,vd411)
| ~ spl5_19
| ~ spl5_472 ),
inference(resolution,[],[f33737,f357]) ).
fof(f357,plain,
( ! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) )
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f51471,plain,
( spl5_643
| ~ spl5_66
| ~ spl5_206 ),
inference(avatar_split_clause,[],[f6696,f5823,f1022,f51469]) ).
fof(f51469,plain,
( spl5_643
<=> ! [X0,X1] :
( ~ greater(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| greater(vplus(X0,X1),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_643])]) ).
fof(f5823,plain,
( spl5_206
<=> ! [X0,X3,X2,X1] :
( ~ greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| greater(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_206])]) ).
fof(f6696,plain,
( ! [X0,X1] :
( ~ greater(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| greater(vplus(X0,X1),sK0) )
| ~ spl5_66
| ~ spl5_206 ),
inference(superposition,[],[f5824,f1024]) ).
fof(f5824,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| greater(vplus(X0,X1),X3) )
| ~ spl5_206 ),
inference(avatar_component_clause,[],[f5823]) ).
fof(f51467,plain,
( spl5_642
| ~ spl5_66
| ~ spl5_206 ),
inference(avatar_split_clause,[],[f6664,f5823,f1022,f51465]) ).
fof(f51465,plain,
( spl5_642
<=> ! [X0,X1] :
( ~ greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| greater(vplus(X0,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_642])]) ).
fof(f6664,plain,
( ! [X0,X1] :
( ~ greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| greater(vplus(X0,sK0),X1) )
| ~ spl5_66
| ~ spl5_206 ),
inference(superposition,[],[f5824,f1024]) ).
fof(f51463,plain,
( spl5_641
| ~ spl5_2
| ~ spl5_206 ),
inference(avatar_split_clause,[],[f6655,f5823,f279,f51461]) ).
fof(f51461,plain,
( spl5_641
<=> ! [X0,X1] :
( ~ greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| greater(vplus(X0,vmul(vd411,sK0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_641])]) ).
fof(f279,plain,
( spl5_2
<=> vplus(vmul(vd411,sK0),sK0) = vmul(vplus(vd411,v1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f6655,plain,
( ! [X0,X1] :
( ~ greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| greater(vplus(X0,vmul(vd411,sK0)),X1) )
| ~ spl5_2
| ~ spl5_206 ),
inference(superposition,[],[f5824,f281]) ).
fof(f281,plain,
( vplus(vmul(vd411,sK0),sK0) = vmul(vplus(vd411,v1),sK0)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f51459,plain,
( spl5_640
| ~ spl5_66
| ~ spl5_205 ),
inference(avatar_split_clause,[],[f6604,f5819,f1022,f51457]) ).
fof(f51457,plain,
( spl5_640
<=> ! [X0,X1] :
( ~ greater(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| greater(X0,vplus(X1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_640])]) ).
fof(f5819,plain,
( spl5_205
<=> ! [X0,X3,X2,X1] :
( ~ greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| greater(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_205])]) ).
fof(f6604,plain,
( ! [X0,X1] :
( ~ greater(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| greater(X0,vplus(X1,sK0)) )
| ~ spl5_66
| ~ spl5_205 ),
inference(superposition,[],[f5820,f1024]) ).
fof(f5820,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| greater(X3,vplus(X0,X1)) )
| ~ spl5_205 ),
inference(avatar_component_clause,[],[f5819]) ).
fof(f51455,plain,
( ~ spl5_6
| spl5_629 ),
inference(avatar_contradiction_clause,[],[f51454]) ).
fof(f51454,plain,
( $false
| ~ spl5_6
| spl5_629 ),
inference(resolution,[],[f51388,f297]) ).
fof(f297,plain,
( ! [X1] : leq(X1,X1)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl5_6
<=> ! [X1] : leq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f51388,plain,
( ~ leq(sK0,sK0)
| spl5_629 ),
inference(avatar_component_clause,[],[f51386]) ).
fof(f51386,plain,
( spl5_629
<=> leq(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_629])]) ).
fof(f51450,plain,
( spl5_639
| ~ spl5_2
| ~ spl5_205 ),
inference(avatar_split_clause,[],[f6595,f5819,f279,f51448]) ).
fof(f51448,plain,
( spl5_639
<=> ! [X0,X1] :
( ~ greater(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| greater(X0,vplus(X1,vmul(vd411,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_639])]) ).
fof(f6595,plain,
( ! [X0,X1] :
( ~ greater(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| greater(X0,vplus(X1,vmul(vd411,sK0))) )
| ~ spl5_2
| ~ spl5_205 ),
inference(superposition,[],[f5820,f281]) ).
fof(f51444,plain,
( spl5_638
| ~ spl5_66
| ~ spl5_205 ),
inference(avatar_split_clause,[],[f6584,f5819,f1022,f51442]) ).
fof(f51442,plain,
( spl5_638
<=> ! [X0,X1] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| greater(sK0,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_638])]) ).
fof(f6584,plain,
( ! [X0,X1] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| greater(sK0,vplus(X0,X1)) )
| ~ spl5_66
| ~ spl5_205 ),
inference(superposition,[],[f5820,f1024]) ).
fof(f51438,plain,
( spl5_637
| ~ spl5_66
| ~ spl5_204 ),
inference(avatar_split_clause,[],[f6538,f5815,f1022,f51436]) ).
fof(f51436,plain,
( spl5_637
<=> ! [X0,X1] :
( ~ less(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| less(vplus(X0,X1),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_637])]) ).
fof(f5815,plain,
( spl5_204
<=> ! [X0,X3,X2,X1] :
( ~ less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| less(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_204])]) ).
fof(f6538,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| less(vplus(X0,X1),sK0) )
| ~ spl5_66
| ~ spl5_204 ),
inference(superposition,[],[f5816,f1024]) ).
fof(f5816,plain,
( ! [X2,X3,X0,X1] :
( ~ less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| less(vplus(X0,X1),X3) )
| ~ spl5_204 ),
inference(avatar_component_clause,[],[f5815]) ).
fof(f51432,plain,
( spl5_636
| ~ spl5_66
| ~ spl5_204 ),
inference(avatar_split_clause,[],[f6506,f5815,f1022,f51430]) ).
fof(f51430,plain,
( spl5_636
<=> ! [X0,X1] :
( ~ less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| less(vplus(X0,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_636])]) ).
fof(f6506,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| less(vplus(X0,sK0),X1) )
| ~ spl5_66
| ~ spl5_204 ),
inference(superposition,[],[f5816,f1024]) ).
fof(f51425,plain,
( spl5_635
| ~ spl5_2
| ~ spl5_204 ),
inference(avatar_split_clause,[],[f6497,f5815,f279,f51423]) ).
fof(f51423,plain,
( spl5_635
<=> ! [X0,X1] :
( ~ less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| less(vplus(X0,vmul(vd411,sK0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_635])]) ).
fof(f6497,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| less(vplus(X0,vmul(vd411,sK0)),X1) )
| ~ spl5_2
| ~ spl5_204 ),
inference(superposition,[],[f5816,f281]) ).
fof(f51419,plain,
( spl5_634
| ~ spl5_66
| ~ spl5_203 ),
inference(avatar_split_clause,[],[f6443,f5811,f1022,f51417]) ).
fof(f51417,plain,
( spl5_634
<=> ! [X0,X1] :
( ~ less(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| less(X0,vplus(X1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_634])]) ).
fof(f5811,plain,
( spl5_203
<=> ! [X0,X3,X2,X1] :
( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| less(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_203])]) ).
fof(f6443,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| less(X0,vplus(X1,sK0)) )
| ~ spl5_66
| ~ spl5_203 ),
inference(superposition,[],[f5812,f1024]) ).
fof(f5812,plain,
( ! [X2,X3,X0,X1] :
( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| less(X3,vplus(X0,X1)) )
| ~ spl5_203 ),
inference(avatar_component_clause,[],[f5811]) ).
fof(f51412,plain,
( spl5_633
| ~ spl5_2
| ~ spl5_203 ),
inference(avatar_split_clause,[],[f6434,f5811,f279,f51410]) ).
fof(f51410,plain,
( spl5_633
<=> ! [X0,X1] :
( ~ less(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| less(X0,vplus(X1,vmul(vd411,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_633])]) ).
fof(f6434,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| less(X0,vplus(X1,vmul(vd411,sK0))) )
| ~ spl5_2
| ~ spl5_203 ),
inference(superposition,[],[f5812,f281]) ).
fof(f51406,plain,
( spl5_632
| ~ spl5_66
| ~ spl5_203 ),
inference(avatar_split_clause,[],[f6423,f5811,f1022,f51404]) ).
fof(f51404,plain,
( spl5_632
<=> ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| less(sK0,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_632])]) ).
fof(f6423,plain,
( ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| less(sK0,vplus(X0,X1)) )
| ~ spl5_66
| ~ spl5_203 ),
inference(superposition,[],[f5812,f1024]) ).
fof(f51400,plain,
( spl5_631
| ~ spl5_66
| ~ spl5_202 ),
inference(avatar_split_clause,[],[f6353,f5807,f1022,f51398]) ).
fof(f51398,plain,
( spl5_631
<=> ! [X0,X1] :
( vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X1,vmul(vd411,sK0))
| vplus(X0,sK0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_631])]) ).
fof(f5807,plain,
( spl5_202
<=> ! [X0,X3,X2,X1] :
( vplus(X0,vplus(X1,X2)) != vplus(X3,X2)
| vplus(X0,X1) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_202])]) ).
fof(f6353,plain,
( ! [X0,X1] :
( vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X1,vmul(vd411,sK0))
| vplus(X0,sK0) = X1 )
| ~ spl5_66
| ~ spl5_202 ),
inference(superposition,[],[f5808,f1024]) ).
fof(f5808,plain,
( ! [X2,X3,X0,X1] :
( vplus(X0,vplus(X1,X2)) != vplus(X3,X2)
| vplus(X0,X1) = X3 )
| ~ spl5_202 ),
inference(avatar_component_clause,[],[f5807]) ).
fof(f51393,plain,
( spl5_630
| ~ spl5_2
| ~ spl5_202 ),
inference(avatar_split_clause,[],[f6344,f5807,f279,f51391]) ).
fof(f51391,plain,
( spl5_630
<=> ! [X0,X1] :
( vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X1,sK0)
| vplus(X0,vmul(vd411,sK0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_630])]) ).
fof(f6344,plain,
( ! [X0,X1] :
( vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X1,sK0)
| vplus(X0,vmul(vd411,sK0)) = X1 )
| ~ spl5_2
| ~ spl5_202 ),
inference(superposition,[],[f5808,f281]) ).
fof(f51389,plain,
( ~ spl5_629
| ~ spl5_398
| spl5_599 ),
inference(avatar_split_clause,[],[f51321,f49484,f24907,f51386]) ).
fof(f24907,plain,
( spl5_398
<=> vd411 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_398])]) ).
fof(f51321,plain,
( ~ leq(sK0,sK0)
| ~ spl5_398
| spl5_599 ),
inference(superposition,[],[f49485,f24909]) ).
fof(f24909,plain,
( vd411 = sK0
| ~ spl5_398 ),
inference(avatar_component_clause,[],[f24907]) ).
fof(f49485,plain,
( ~ leq(vd411,sK0)
| spl5_599 ),
inference(avatar_component_clause,[],[f49484]) ).
fof(f51382,plain,
( spl5_628
| ~ spl5_66
| ~ spl5_201 ),
inference(avatar_split_clause,[],[f6322,f5803,f1022,f51380]) ).
fof(f51380,plain,
( spl5_628
<=> ! [X0,X1] :
( greater(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(X0,X1),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_628])]) ).
fof(f5803,plain,
( spl5_201
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| ~ greater(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_201])]) ).
fof(f6322,plain,
( ! [X0,X1] :
( greater(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(X0,X1),sK0) )
| ~ spl5_66
| ~ spl5_201 ),
inference(superposition,[],[f5804,f1024]) ).
fof(f5804,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| ~ greater(vplus(X0,X1),X3) )
| ~ spl5_201 ),
inference(avatar_component_clause,[],[f5803]) ).
fof(f51376,plain,
( spl5_627
| ~ spl5_66
| ~ spl5_201 ),
inference(avatar_split_clause,[],[f6290,f5803,f1022,f51374]) ).
fof(f51374,plain,
( spl5_627
<=> ! [X0,X1] :
( greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| ~ greater(vplus(X0,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_627])]) ).
fof(f6290,plain,
( ! [X0,X1] :
( greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| ~ greater(vplus(X0,sK0),X1) )
| ~ spl5_66
| ~ spl5_201 ),
inference(superposition,[],[f5804,f1024]) ).
fof(f51369,plain,
( spl5_626
| ~ spl5_2
| ~ spl5_201 ),
inference(avatar_split_clause,[],[f6281,f5803,f279,f51367]) ).
fof(f51367,plain,
( spl5_626
<=> ! [X0,X1] :
( greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| ~ greater(vplus(X0,vmul(vd411,sK0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_626])]) ).
fof(f6281,plain,
( ! [X0,X1] :
( greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| ~ greater(vplus(X0,vmul(vd411,sK0)),X1) )
| ~ spl5_2
| ~ spl5_201 ),
inference(superposition,[],[f5804,f281]) ).
fof(f51363,plain,
( spl5_625
| ~ spl5_66
| ~ spl5_200 ),
inference(avatar_split_clause,[],[f6240,f5799,f1022,f51361]) ).
fof(f51361,plain,
( spl5_625
<=> ! [X0,X1] :
( greater(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ greater(X0,vplus(X1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_625])]) ).
fof(f5799,plain,
( spl5_200
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| ~ greater(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_200])]) ).
fof(f6240,plain,
( ! [X0,X1] :
( greater(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ greater(X0,vplus(X1,sK0)) )
| ~ spl5_66
| ~ spl5_200 ),
inference(superposition,[],[f5800,f1024]) ).
fof(f5800,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| ~ greater(X3,vplus(X0,X1)) )
| ~ spl5_200 ),
inference(avatar_component_clause,[],[f5799]) ).
fof(f51356,plain,
( spl5_624
| ~ spl5_2
| ~ spl5_200 ),
inference(avatar_split_clause,[],[f6231,f5799,f279,f51354]) ).
fof(f51354,plain,
( spl5_624
<=> ! [X0,X1] :
( greater(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ greater(X0,vplus(X1,vmul(vd411,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_624])]) ).
fof(f6231,plain,
( ! [X0,X1] :
( greater(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ greater(X0,vplus(X1,vmul(vd411,sK0))) )
| ~ spl5_2
| ~ spl5_200 ),
inference(superposition,[],[f5800,f281]) ).
fof(f51350,plain,
( spl5_623
| ~ spl5_66
| ~ spl5_200 ),
inference(avatar_split_clause,[],[f6220,f5799,f1022,f51348]) ).
fof(f51348,plain,
( spl5_623
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| ~ greater(sK0,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_623])]) ).
fof(f6220,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| ~ greater(sK0,vplus(X0,X1)) )
| ~ spl5_66
| ~ spl5_200 ),
inference(superposition,[],[f5800,f1024]) ).
fof(f51344,plain,
( spl5_622
| ~ spl5_66
| ~ spl5_199 ),
inference(avatar_split_clause,[],[f6181,f5795,f1022,f51342]) ).
fof(f51342,plain,
( spl5_622
<=> ! [X0,X1] :
( less(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(X0,X1),sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_622])]) ).
fof(f5795,plain,
( spl5_199
<=> ! [X0,X3,X2,X1] :
( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| ~ less(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_199])]) ).
fof(f6181,plain,
( ! [X0,X1] :
( less(vplus(X0,vplus(X1,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(X0,X1),sK0) )
| ~ spl5_66
| ~ spl5_199 ),
inference(superposition,[],[f5796,f1024]) ).
fof(f5796,plain,
( ! [X2,X3,X0,X1] :
( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| ~ less(vplus(X0,X1),X3) )
| ~ spl5_199 ),
inference(avatar_component_clause,[],[f5795]) ).
fof(f51338,plain,
( spl5_621
| ~ spl5_66
| ~ spl5_199 ),
inference(avatar_split_clause,[],[f6149,f5795,f1022,f51336]) ).
fof(f51336,plain,
( spl5_621
<=> ! [X0,X1] :
( less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| ~ less(vplus(X0,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_621])]) ).
fof(f6149,plain,
( ! [X0,X1] :
( less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,vmul(vd411,sK0)))
| ~ less(vplus(X0,sK0),X1) )
| ~ spl5_66
| ~ spl5_199 ),
inference(superposition,[],[f5796,f1024]) ).
fof(f51331,plain,
( spl5_620
| ~ spl5_2
| ~ spl5_199 ),
inference(avatar_split_clause,[],[f6140,f5795,f279,f51329]) ).
fof(f51329,plain,
( spl5_620
<=> ! [X0,X1] :
( less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| ~ less(vplus(X0,vmul(vd411,sK0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_620])]) ).
fof(f6140,plain,
( ! [X0,X1] :
( less(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X1,sK0))
| ~ less(vplus(X0,vmul(vd411,sK0)),X1) )
| ~ spl5_2
| ~ spl5_199 ),
inference(superposition,[],[f5796,f281]) ).
fof(f51325,plain,
( spl5_619
| ~ spl5_66
| ~ spl5_198 ),
inference(avatar_split_clause,[],[f6092,f5791,f1022,f51323]) ).
fof(f51323,plain,
( spl5_619
<=> ! [X0,X1] :
( less(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ less(X0,vplus(X1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_619])]) ).
fof(f5791,plain,
( spl5_198
<=> ! [X0,X3,X2,X1] :
( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| ~ less(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_198])]) ).
fof(f6092,plain,
( ! [X0,X1] :
( less(vplus(X0,vmul(vd411,sK0)),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ less(X0,vplus(X1,sK0)) )
| ~ spl5_66
| ~ spl5_198 ),
inference(superposition,[],[f5792,f1024]) ).
fof(f5792,plain,
( ! [X2,X3,X0,X1] :
( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| ~ less(X3,vplus(X0,X1)) )
| ~ spl5_198 ),
inference(avatar_component_clause,[],[f5791]) ).
fof(f51317,plain,
( spl5_618
| ~ spl5_2
| ~ spl5_198 ),
inference(avatar_split_clause,[],[f6083,f5791,f279,f51315]) ).
fof(f51315,plain,
( spl5_618
<=> ! [X0,X1] :
( less(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ less(X0,vplus(X1,vmul(vd411,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_618])]) ).
fof(f6083,plain,
( ! [X0,X1] :
( less(vplus(X0,sK0),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ less(X0,vplus(X1,vmul(vd411,sK0))) )
| ~ spl5_2
| ~ spl5_198 ),
inference(superposition,[],[f5792,f281]) ).
fof(f51311,plain,
( spl5_617
| ~ spl5_66
| ~ spl5_198 ),
inference(avatar_split_clause,[],[f6072,f5791,f1022,f51309]) ).
fof(f51309,plain,
( spl5_617
<=> ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| ~ less(sK0,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_617])]) ).
fof(f6072,plain,
( ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,vmul(vd411,sK0))))
| ~ less(sK0,vplus(X0,X1)) )
| ~ spl5_66
| ~ spl5_198 ),
inference(superposition,[],[f5792,f1024]) ).
fof(f51305,plain,
( spl5_616
| ~ spl5_66
| ~ spl5_197 ),
inference(avatar_split_clause,[],[f6009,f5787,f1022,f51303]) ).
fof(f51303,plain,
( spl5_616
<=> ! [X0,X1] :
( vplus(sK0,vplus(vmul(vd411,sK0),X0)) != vplus(vmul(vplus(vd411,v1),sK0),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_616])]) ).
fof(f5787,plain,
( spl5_197
<=> ! [X0,X3,X2,X1] :
( vplus(X0,vplus(X1,X2)) != vplus(vplus(X0,X1),X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_197])]) ).
fof(f6009,plain,
( ! [X0,X1] :
( vplus(sK0,vplus(vmul(vd411,sK0),X0)) != vplus(vmul(vplus(vd411,v1),sK0),X1)
| X0 = X1 )
| ~ spl5_66
| ~ spl5_197 ),
inference(superposition,[],[f5788,f1024]) ).
fof(f5788,plain,
( ! [X2,X3,X0,X1] :
( vplus(X0,vplus(X1,X2)) != vplus(vplus(X0,X1),X3)
| X2 = X3 )
| ~ spl5_197 ),
inference(avatar_component_clause,[],[f5787]) ).
fof(f51299,plain,
( spl5_615
| ~ spl5_2
| ~ spl5_197 ),
inference(avatar_split_clause,[],[f6000,f5787,f279,f51297]) ).
fof(f51297,plain,
( spl5_615
<=> ! [X0,X1] :
( vplus(vmul(vd411,sK0),vplus(sK0,X0)) != vplus(vmul(vplus(vd411,v1),sK0),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_615])]) ).
fof(f6000,plain,
( ! [X0,X1] :
( vplus(vmul(vd411,sK0),vplus(sK0,X0)) != vplus(vmul(vplus(vd411,v1),sK0),X1)
| X0 = X1 )
| ~ spl5_2
| ~ spl5_197 ),
inference(superposition,[],[f5788,f281]) ).
fof(f51292,plain,
( spl5_614
| ~ spl5_66
| ~ spl5_197 ),
inference(avatar_split_clause,[],[f5977,f5787,f1022,f51290]) ).
fof(f51290,plain,
( spl5_614
<=> ! [X0,X1] :
( vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(vplus(X0,sK0),X1)
| vmul(vd411,sK0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_614])]) ).
fof(f5977,plain,
( ! [X0,X1] :
( vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(vplus(X0,sK0),X1)
| vmul(vd411,sK0) = X1 )
| ~ spl5_66
| ~ spl5_197 ),
inference(superposition,[],[f5788,f1024]) ).
fof(f51285,plain,
( spl5_613
| ~ spl5_80
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4010,f3002,f2994,f1139,f51283]) ).
fof(f51283,plain,
( spl5_613
<=> ! [X0] :
( ~ greater(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| greater(vplus(v1,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_613])]) ).
fof(f1139,plain,
( spl5_80
<=> ! [X0] :
( ~ greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| greater(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f2994,plain,
( spl5_152
<=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_152])]) ).
fof(f3002,plain,
( spl5_154
<=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_154])]) ).
fof(f4010,plain,
( ! [X0] :
( ~ greater(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| greater(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_80
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3961,f2995]) ).
fof(f2995,plain,
( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1))
| ~ spl5_152 ),
inference(avatar_component_clause,[],[f2994]) ).
fof(f3961,plain,
( ! [X0] :
( ~ greater(vplus(v1,vplus(sK0,X0)),vmul(vplus(vd411,v1),sK0))
| greater(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_80
| ~ spl5_154 ),
inference(superposition,[],[f1140,f3003]) ).
fof(f3003,plain,
( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0)
| ~ spl5_154 ),
inference(avatar_component_clause,[],[f3002]) ).
fof(f1140,plain,
( ! [X0] :
( ~ greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| greater(X0,vmul(vd411,sK0)) )
| ~ spl5_80 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f51278,plain,
( spl5_612
| ~ spl5_79
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4009,f3002,f2994,f1135,f51276]) ).
fof(f51276,plain,
( spl5_612
<=> ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| greater(vmul(vd411,sK0),vplus(v1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_612])]) ).
fof(f1135,plain,
( spl5_79
<=> ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| greater(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f4009,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| greater(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_79
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3960,f2995]) ).
fof(f3960,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(v1,vplus(sK0,X0)))
| greater(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_79
| ~ spl5_154 ),
inference(superposition,[],[f1136,f3003]) ).
fof(f1136,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| greater(vmul(vd411,sK0),X0) )
| ~ spl5_79 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f51271,plain,
( spl5_611
| ~ spl5_78
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4008,f3002,f2994,f1131,f51269]) ).
fof(f51269,plain,
( spl5_611
<=> ! [X0] :
( ~ less(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| less(vplus(v1,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_611])]) ).
fof(f1131,plain,
( spl5_78
<=> ! [X0] :
( ~ less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| less(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f4008,plain,
( ! [X0] :
( ~ less(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| less(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_78
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3959,f2995]) ).
fof(f3959,plain,
( ! [X0] :
( ~ less(vplus(v1,vplus(sK0,X0)),vmul(vplus(vd411,v1),sK0))
| less(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_78
| ~ spl5_154 ),
inference(superposition,[],[f1132,f3003]) ).
fof(f1132,plain,
( ! [X0] :
( ~ less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| less(X0,vmul(vd411,sK0)) )
| ~ spl5_78 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f51264,plain,
( spl5_610
| ~ spl5_77
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4007,f3002,f2994,f1127,f51262]) ).
fof(f51262,plain,
( spl5_610
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| less(vmul(vd411,sK0),vplus(v1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_610])]) ).
fof(f1127,plain,
( spl5_77
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| less(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f4007,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| less(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_77
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3958,f2995]) ).
fof(f3958,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(v1,vplus(sK0,X0)))
| less(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_77
| ~ spl5_154 ),
inference(superposition,[],[f1128,f3003]) ).
fof(f1128,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| less(vmul(vd411,sK0),X0) )
| ~ spl5_77 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f51257,plain,
( spl5_609
| ~ spl5_74
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4006,f3002,f2994,f1114,f51255]) ).
fof(f51255,plain,
( spl5_609
<=> ! [X0] :
( greater(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(v1,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_609])]) ).
fof(f1114,plain,
( spl5_74
<=> ! [X0] :
( greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f4006,plain,
( ! [X0] :
( greater(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_74
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3956,f2995]) ).
fof(f3956,plain,
( ! [X0] :
( greater(vplus(v1,vplus(sK0,X0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_74
| ~ spl5_154 ),
inference(superposition,[],[f1115,f3003]) ).
fof(f1115,plain,
( ! [X0] :
( greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0)) )
| ~ spl5_74 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f51243,plain,
( spl5_608
| ~ spl5_73
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4005,f3002,f2994,f1110,f51241]) ).
fof(f51241,plain,
( spl5_608
<=> ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| ~ greater(vmul(vd411,sK0),vplus(v1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_608])]) ).
fof(f1110,plain,
( spl5_73
<=> ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| ~ greater(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f4005,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| ~ greater(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_73
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3955,f2995]) ).
fof(f3955,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(v1,vplus(sK0,X0)))
| ~ greater(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_73
| ~ spl5_154 ),
inference(superposition,[],[f1111,f3003]) ).
fof(f1111,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| ~ greater(vmul(vd411,sK0),X0) )
| ~ spl5_73 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f51236,plain,
( spl5_607
| ~ spl5_72
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4004,f3002,f2994,f1106,f51234]) ).
fof(f51234,plain,
( spl5_607
<=> ! [X0] :
( less(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(v1,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_607])]) ).
fof(f1106,plain,
( spl5_72
<=> ! [X0] :
( less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f4004,plain,
( ! [X0] :
( less(vplus(sK0,vplus(X0,v1)),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_72
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3954,f2995]) ).
fof(f3954,plain,
( ! [X0] :
( less(vplus(v1,vplus(sK0,X0)),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(v1,X0),vmul(vd411,sK0)) )
| ~ spl5_72
| ~ spl5_154 ),
inference(superposition,[],[f1107,f3003]) ).
fof(f1107,plain,
( ! [X0] :
( less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,vmul(vd411,sK0)) )
| ~ spl5_72 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f51229,plain,
( spl5_606
| ~ spl5_71
| ~ spl5_152
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f4003,f3002,f2994,f1102,f51227]) ).
fof(f51227,plain,
( spl5_606
<=> ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| ~ less(vmul(vd411,sK0),vplus(v1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_606])]) ).
fof(f1102,plain,
( spl5_71
<=> ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| ~ less(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f4003,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,v1)))
| ~ less(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_71
| ~ spl5_152
| ~ spl5_154 ),
inference(forward_demodulation,[],[f3953,f2995]) ).
fof(f3953,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(v1,vplus(sK0,X0)))
| ~ less(vmul(vd411,sK0),vplus(v1,X0)) )
| ~ spl5_71
| ~ spl5_154 ),
inference(superposition,[],[f1103,f3003]) ).
fof(f1103,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| ~ less(vmul(vd411,sK0),X0) )
| ~ spl5_71 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f51222,plain,
( spl5_605
| ~ spl5_76
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f3957,f3002,f1123,f51220]) ).
fof(f51220,plain,
( spl5_605
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(v1,vplus(sK0,X0))
| vplus(v1,X0) = vmul(vd411,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_605])]) ).
fof(f1123,plain,
( spl5_76
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,sK0)
| vmul(vd411,sK0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f3957,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(v1,vplus(sK0,X0))
| vplus(v1,X0) = vmul(vd411,sK0) )
| ~ spl5_76
| ~ spl5_154 ),
inference(superposition,[],[f1124,f3003]) ).
fof(f1124,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,sK0)
| vmul(vd411,sK0) = X0 )
| ~ spl5_76 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f51216,plain,
( spl5_604
| ~ spl5_70
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f3706,f2994,f1098,f51214]) ).
fof(f51214,plain,
( spl5_604
<=> ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,vplus(X1,vmul(vd411,sK0)))
| vplus(X0,X1) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_604])]) ).
fof(f1098,plain,
( spl5_70
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(vmul(vd411,sK0),X0)
| sK0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f3706,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,vplus(X1,vmul(vd411,sK0)))
| vplus(X0,X1) = sK0 )
| ~ spl5_70
| ~ spl5_152 ),
inference(superposition,[],[f1099,f2995]) ).
fof(f1099,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(vmul(vd411,sK0),X0)
| sK0 = X0 )
| ~ spl5_70 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f51210,plain,
( spl5_603
| ~ spl5_70
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f3588,f2994,f1098,f51208]) ).
fof(f51208,plain,
( spl5_603
<=> ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X1,vplus(vmul(vd411,sK0),X0))
| vplus(X0,X1) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_603])]) ).
fof(f3588,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X1,vplus(vmul(vd411,sK0),X0))
| vplus(X0,X1) = sK0 )
| ~ spl5_70
| ~ spl5_152 ),
inference(superposition,[],[f1099,f2995]) ).
fof(f51203,plain,
( spl5_602
| ~ spl5_80
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3414,f2990,f1139,f51201]) ).
fof(f51201,plain,
( spl5_602
<=> ! [X0,X1] :
( ~ greater(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| greater(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_602])]) ).
fof(f2990,plain,
( spl5_151
<=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_151])]) ).
fof(f3414,plain,
( ! [X0,X1] :
( ~ greater(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| greater(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_80
| ~ spl5_151 ),
inference(superposition,[],[f1140,f2991]) ).
fof(f2991,plain,
( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2)
| ~ spl5_151 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f51196,plain,
( spl5_601
| ~ spl5_79
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3413,f2990,f1135,f51194]) ).
fof(f51194,plain,
( spl5_601
<=> ! [X0,X1] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| greater(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_601])]) ).
fof(f3413,plain,
( ! [X0,X1] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| greater(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_79
| ~ spl5_151 ),
inference(superposition,[],[f1136,f2991]) ).
fof(f51191,plain,
( ~ spl5_600
| ~ spl5_398
| spl5_559 ),
inference(avatar_split_clause,[],[f48580,f48576,f24907,f51188]) ).
fof(f51188,plain,
( spl5_600
<=> vmul(vplus(sK0,v1),sK0) = vmul(vmul(sK0,sK0),vplus(v1,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_600])]) ).
fof(f48576,plain,
( spl5_559
<=> vmul(vplus(vd411,v1),sK0) = vmul(vmul(vd411,sK0),vplus(v1,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_559])]) ).
fof(f48580,plain,
( vmul(vplus(sK0,v1),sK0) != vmul(vmul(sK0,sK0),vplus(v1,v1))
| ~ spl5_398
| spl5_559 ),
inference(forward_demodulation,[],[f48578,f24909]) ).
fof(f48578,plain,
( vmul(vplus(vd411,v1),sK0) != vmul(vmul(vd411,sK0),vplus(v1,v1))
| spl5_559 ),
inference(avatar_component_clause,[],[f48576]) ).
fof(f49487,plain,
( spl5_599
| ~ spl5_21
| ~ spl5_472 ),
inference(avatar_split_clause,[],[f49441,f33736,f364,f49484]) ).
fof(f364,plain,
( spl5_21
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f49441,plain,
( leq(vd411,sK0)
| ~ spl5_21
| ~ spl5_472 ),
inference(resolution,[],[f33737,f365]) ).
fof(f365,plain,
( ! [X0,X1] :
( ~ less(X1,X0)
| leq(X1,X0) )
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f49482,plain,
( spl5_598
| ~ spl5_78
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3412,f2990,f1131,f49480]) ).
fof(f49480,plain,
( spl5_598
<=> ! [X0,X1] :
( ~ less(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| less(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_598])]) ).
fof(f3412,plain,
( ! [X0,X1] :
( ~ less(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| less(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_78
| ~ spl5_151 ),
inference(superposition,[],[f1132,f2991]) ).
fof(f49478,plain,
( spl5_597
| ~ spl5_77
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3411,f2990,f1127,f49476]) ).
fof(f49476,plain,
( spl5_597
<=> ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| less(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_597])]) ).
fof(f3411,plain,
( ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| less(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_77
| ~ spl5_151 ),
inference(superposition,[],[f1128,f2991]) ).
fof(f49474,plain,
( spl5_596
| ~ spl5_76
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3410,f2990,f1123,f49472]) ).
fof(f49472,plain,
( spl5_596
<=> ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X1,vplus(X0,sK0))
| vplus(X0,X1) = vmul(vd411,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_596])]) ).
fof(f3410,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X1,vplus(X0,sK0))
| vplus(X0,X1) = vmul(vd411,sK0) )
| ~ spl5_76
| ~ spl5_151 ),
inference(superposition,[],[f1124,f2991]) ).
fof(f49470,plain,
( spl5_595
| ~ spl5_74
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3409,f2990,f1114,f49468]) ).
fof(f49468,plain,
( spl5_595
<=> ! [X0,X1] :
( greater(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_595])]) ).
fof(f3409,plain,
( ! [X0,X1] :
( greater(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_74
| ~ spl5_151 ),
inference(superposition,[],[f1115,f2991]) ).
fof(f49466,plain,
( spl5_594
| ~ spl5_73
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3408,f2990,f1110,f49464]) ).
fof(f49464,plain,
( spl5_594
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| ~ greater(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_594])]) ).
fof(f3408,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| ~ greater(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_73
| ~ spl5_151 ),
inference(superposition,[],[f1111,f2991]) ).
fof(f49462,plain,
( spl5_593
| ~ spl5_72
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3407,f2990,f1106,f49460]) ).
fof(f49460,plain,
( spl5_593
<=> ! [X0,X1] :
( less(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_593])]) ).
fof(f3407,plain,
( ! [X0,X1] :
( less(vplus(X1,vplus(X0,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_72
| ~ spl5_151 ),
inference(superposition,[],[f1107,f2991]) ).
fof(f49458,plain,
( spl5_592
| ~ spl5_71
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3406,f2990,f1102,f49456]) ).
fof(f49456,plain,
( spl5_592
<=> ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| ~ less(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_592])]) ).
fof(f3406,plain,
( ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X1,vplus(X0,sK0)))
| ~ less(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_71
| ~ spl5_151 ),
inference(superposition,[],[f1103,f2991]) ).
fof(f49454,plain,
( spl5_591
| ~ spl5_83
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f2974,f2484,f1238,f49452]) ).
fof(f49452,plain,
( spl5_591
<=> ! [X0,X1] :
( ~ greater(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_591])]) ).
fof(f1238,plain,
( spl5_83
<=> ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(sK0,vplus(X0,vmul(vd411,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f2484,plain,
( spl5_147
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X2,X1),vplus(X1,X0))
| greater(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_147])]) ).
fof(f2974,plain,
( ! [X0,X1] :
( ~ greater(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| greater(X1,X0) )
| ~ spl5_83
| ~ spl5_147 ),
inference(superposition,[],[f2485,f1239]) ).
fof(f1239,plain,
( ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| ~ spl5_83 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f2485,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X2,X1),vplus(X1,X0))
| greater(X2,X0) )
| ~ spl5_147 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f49450,plain,
( spl5_590
| ~ spl5_83
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f2961,f2484,f1238,f49448]) ).
fof(f49448,plain,
( spl5_590
<=> ! [X0,X1] :
( ~ greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| greater(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_590])]) ).
fof(f2961,plain,
( ! [X0,X1] :
( ~ greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| greater(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_147 ),
inference(superposition,[],[f2485,f1239]) ).
fof(f49446,plain,
( spl5_589
| ~ spl5_83
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f2935,f2480,f1238,f49444]) ).
fof(f49444,plain,
( spl5_589
<=> ! [X0,X1] :
( ~ greater(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| greater(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_589])]) ).
fof(f2480,plain,
( spl5_146
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X1,X0),vplus(X2,X1))
| greater(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_146])]) ).
fof(f2935,plain,
( ! [X0,X1] :
( ~ greater(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| greater(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_146 ),
inference(superposition,[],[f2481,f1239]) ).
fof(f2481,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X1,X0),vplus(X2,X1))
| greater(X0,X2) )
| ~ spl5_146 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f49437,plain,
( spl5_588
| ~ spl5_83
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f2922,f2480,f1238,f49435]) ).
fof(f49435,plain,
( spl5_588
<=> ! [X0,X1] :
( ~ greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_588])]) ).
fof(f2922,plain,
( ! [X0,X1] :
( ~ greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| greater(X0,X1) )
| ~ spl5_83
| ~ spl5_146 ),
inference(superposition,[],[f2481,f1239]) ).
fof(f49433,plain,
( spl5_587
| ~ spl5_83
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f2895,f2476,f1238,f49431]) ).
fof(f49431,plain,
( spl5_587
<=> ! [X0,X1] :
( ~ less(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_587])]) ).
fof(f2476,plain,
( spl5_145
<=> ! [X2,X0,X1] :
( ~ less(vplus(X2,X1),vplus(X1,X0))
| less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_145])]) ).
fof(f2895,plain,
( ! [X0,X1] :
( ~ less(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| less(X1,X0) )
| ~ spl5_83
| ~ spl5_145 ),
inference(superposition,[],[f2477,f1239]) ).
fof(f2477,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X2,X1),vplus(X1,X0))
| less(X2,X0) )
| ~ spl5_145 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f49429,plain,
( spl5_586
| ~ spl5_83
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f2882,f2476,f1238,f49427]) ).
fof(f49427,plain,
( spl5_586
<=> ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| less(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_586])]) ).
fof(f2882,plain,
( ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| less(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_145 ),
inference(superposition,[],[f2477,f1239]) ).
fof(f49425,plain,
( spl5_585
| ~ spl5_83
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f2856,f2472,f1238,f49423]) ).
fof(f49423,plain,
( spl5_585
<=> ! [X0,X1] :
( ~ less(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_585])]) ).
fof(f2472,plain,
( spl5_144
<=> ! [X2,X0,X1] :
( ~ less(vplus(X1,X0),vplus(X2,X1))
| less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_144])]) ).
fof(f2856,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_144 ),
inference(superposition,[],[f2473,f1239]) ).
fof(f2473,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X1,X0),vplus(X2,X1))
| less(X0,X2) )
| ~ spl5_144 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f49421,plain,
( spl5_584
| ~ spl5_83
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f2843,f2472,f1238,f49419]) ).
fof(f49419,plain,
( spl5_584
<=> ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_584])]) ).
fof(f2843,plain,
( ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| less(X0,X1) )
| ~ spl5_83
| ~ spl5_144 ),
inference(superposition,[],[f2473,f1239]) ).
fof(f49417,plain,
( spl5_583
| ~ spl5_83
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f2813,f2468,f1238,f49415]) ).
fof(f49415,plain,
( spl5_583
<=> ! [X0,X1] :
( greater(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_583])]) ).
fof(f2468,plain,
( spl5_143
<=> ! [X2,X0,X1] :
( greater(vplus(X2,X1),vplus(X1,X0))
| ~ greater(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_143])]) ).
fof(f2813,plain,
( ! [X0,X1] :
( greater(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,X0) )
| ~ spl5_83
| ~ spl5_143 ),
inference(superposition,[],[f2469,f1239]) ).
fof(f2469,plain,
( ! [X2,X0,X1] :
( greater(vplus(X2,X1),vplus(X1,X0))
| ~ greater(X2,X0) )
| ~ spl5_143 ),
inference(avatar_component_clause,[],[f2468]) ).
fof(f49413,plain,
( spl5_582
| ~ spl5_83
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f2800,f2468,f1238,f49411]) ).
fof(f49411,plain,
( spl5_582
<=> ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_582])]) ).
fof(f2800,plain,
( ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_143 ),
inference(superposition,[],[f2469,f1239]) ).
fof(f48724,plain,
( spl5_581
| ~ spl5_2
| ~ spl5_24
| ~ spl5_51
| ~ spl5_75
| ~ spl5_398 ),
inference(avatar_split_clause,[],[f35265,f24907,f1118,f616,f385,f279,f48721]) ).
fof(f48721,plain,
( spl5_581
<=> greater(vmul(sK0,vplus(sK0,v1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_581])]) ).
fof(f616,plain,
( spl5_51
<=> ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f1118,plain,
( spl5_75
<=> greater(vmul(vplus(vd411,v1),sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f35265,plain,
( greater(vmul(sK0,vplus(sK0,v1)),sK0)
| ~ spl5_2
| ~ spl5_24
| ~ spl5_51
| ~ spl5_75
| ~ spl5_398 ),
inference(forward_demodulation,[],[f35116,f35251]) ).
fof(f35251,plain,
( vmul(vplus(sK0,v1),sK0) = vmul(sK0,vplus(sK0,v1))
| ~ spl5_2
| ~ spl5_24
| ~ spl5_51
| ~ spl5_398 ),
inference(forward_demodulation,[],[f35250,f386]) ).
fof(f35250,plain,
( vmul(vplus(sK0,v1),sK0) = vmul(sK0,vplus(v1,sK0))
| ~ spl5_2
| ~ spl5_51
| ~ spl5_398 ),
inference(forward_demodulation,[],[f35099,f617]) ).
fof(f617,plain,
( ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1))
| ~ spl5_51 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f35099,plain,
( vplus(vmul(sK0,sK0),sK0) = vmul(vplus(sK0,v1),sK0)
| ~ spl5_2
| ~ spl5_398 ),
inference(superposition,[],[f281,f24909]) ).
fof(f35116,plain,
( greater(vmul(vplus(sK0,v1),sK0),sK0)
| ~ spl5_75
| ~ spl5_398 ),
inference(superposition,[],[f1120,f24909]) ).
fof(f1120,plain,
( greater(vmul(vplus(vd411,v1),sK0),sK0)
| ~ spl5_75 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f48716,plain,
( spl5_580
| ~ spl5_83
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f2778,f2464,f1238,f48714]) ).
fof(f48714,plain,
( spl5_580
<=> ! [X0,X1] :
( greater(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_580])]) ).
fof(f2464,plain,
( spl5_142
<=> ! [X2,X0,X1] :
( greater(vplus(X1,X0),vplus(X2,X1))
| ~ greater(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_142])]) ).
fof(f2778,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_142 ),
inference(superposition,[],[f2465,f1239]) ).
fof(f2465,plain,
( ! [X2,X0,X1] :
( greater(vplus(X1,X0),vplus(X2,X1))
| ~ greater(X0,X2) )
| ~ spl5_142 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f48710,plain,
( spl5_579
| ~ spl5_83
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f2765,f2464,f1238,f48708]) ).
fof(f48708,plain,
( spl5_579
<=> ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_579])]) ).
fof(f2765,plain,
( ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ greater(X0,X1) )
| ~ spl5_83
| ~ spl5_142 ),
inference(superposition,[],[f2465,f1239]) ).
fof(f48703,plain,
( spl5_578
| ~ spl5_83
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f2746,f2460,f1238,f48701]) ).
fof(f48701,plain,
( spl5_578
<=> ! [X0,X1] :
( ~ less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_578])]) ).
fof(f2460,plain,
( spl5_141
<=> ! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ less(vplus(X0,X2),vplus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_141])]) ).
fof(f2746,plain,
( ! [X0,X1] :
( ~ less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_141 ),
inference(superposition,[],[f2461,f1239]) ).
fof(f2461,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) )
| ~ spl5_141 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f48696,plain,
( spl5_577
| ~ spl5_83
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f2733,f2460,f1238,f48694]) ).
fof(f48694,plain,
( spl5_577
<=> ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_577])]) ).
fof(f2733,plain,
( ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_141 ),
inference(superposition,[],[f2461,f1239]) ).
fof(f48689,plain,
( spl5_576
| ~ spl5_83
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f2710,f2456,f1238,f48687]) ).
fof(f48687,plain,
( spl5_576
<=> ! [X0,X1] :
( less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_576])]) ).
fof(f2456,plain,
( spl5_140
<=> ! [X2,X0,X1] :
( ~ greater(X0,X1)
| less(vplus(X1,X2),vplus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_140])]) ).
fof(f2710,plain,
( ! [X0,X1] :
( less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_140 ),
inference(superposition,[],[f2457,f1239]) ).
fof(f2457,plain,
( ! [X2,X0,X1] :
( less(vplus(X1,X2),vplus(X0,X2))
| ~ greater(X0,X1) )
| ~ spl5_140 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f48682,plain,
( spl5_575
| ~ spl5_83
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f2697,f2456,f1238,f48680]) ).
fof(f48680,plain,
( spl5_575
<=> ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_575])]) ).
fof(f2697,plain,
( ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_140 ),
inference(superposition,[],[f2457,f1239]) ).
fof(f48675,plain,
( spl5_574
| ~ spl5_83
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f2675,f2452,f1238,f48673]) ).
fof(f48673,plain,
( spl5_574
<=> ! [X0,X1] :
( geq(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_574])]) ).
fof(f2452,plain,
( spl5_139
<=> ! [X2,X0,X1] :
( ~ greater(X0,X1)
| geq(vplus(X0,X2),vplus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_139])]) ).
fof(f2675,plain,
( ! [X0,X1] :
( geq(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_139 ),
inference(superposition,[],[f2453,f1239]) ).
fof(f2453,plain,
( ! [X2,X0,X1] :
( geq(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) )
| ~ spl5_139 ),
inference(avatar_component_clause,[],[f2452]) ).
fof(f48668,plain,
( spl5_573
| ~ spl5_83
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f2662,f2452,f1238,f48666]) ).
fof(f48666,plain,
( spl5_573
<=> ! [X0,X1] :
( geq(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_573])]) ).
fof(f2662,plain,
( ! [X0,X1] :
( geq(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_139 ),
inference(superposition,[],[f2453,f1239]) ).
fof(f48662,plain,
( spl5_572
| ~ spl5_83
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f2644,f2448,f1238,f48660]) ).
fof(f48660,plain,
( spl5_572
<=> ! [X0,X1] :
( less(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_572])]) ).
fof(f2448,plain,
( spl5_138
<=> ! [X2,X0,X1] :
( less(vplus(X2,X1),vplus(X1,X0))
| ~ less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_138])]) ).
fof(f2644,plain,
( ! [X0,X1] :
( less(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,X0) )
| ~ spl5_83
| ~ spl5_138 ),
inference(superposition,[],[f2449,f1239]) ).
fof(f2449,plain,
( ! [X2,X0,X1] :
( less(vplus(X2,X1),vplus(X1,X0))
| ~ less(X2,X0) )
| ~ spl5_138 ),
inference(avatar_component_clause,[],[f2448]) ).
fof(f48655,plain,
( spl5_571
| ~ spl5_83
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f2631,f2448,f1238,f48653]) ).
fof(f48653,plain,
( spl5_571
<=> ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_571])]) ).
fof(f2631,plain,
( ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X0,X1))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_138 ),
inference(superposition,[],[f2449,f1239]) ).
fof(f48651,plain,
( ~ spl5_570
| spl5_196
| ~ spl5_398 ),
inference(avatar_split_clause,[],[f35139,f24907,f5782,f48648]) ).
fof(f48648,plain,
( spl5_570
<=> v1 = vmul(vplus(sK0,v1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_570])]) ).
fof(f5782,plain,
( spl5_196
<=> v1 = vmul(vplus(vd411,v1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_196])]) ).
fof(f35139,plain,
( v1 != vmul(vplus(sK0,v1),sK0)
| spl5_196
| ~ spl5_398 ),
inference(superposition,[],[f5784,f24909]) ).
fof(f5784,plain,
( v1 != vmul(vplus(vd411,v1),sK0)
| spl5_196 ),
inference(avatar_component_clause,[],[f5782]) ).
fof(f48643,plain,
( spl5_569
| ~ spl5_83
| ~ spl5_136 ),
inference(avatar_split_clause,[],[f2606,f2439,f1238,f48641]) ).
fof(f48641,plain,
( spl5_569
<=> ! [X0,X1] :
( less(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_569])]) ).
fof(f2439,plain,
( spl5_136
<=> ! [X2,X0,X1] :
( less(vplus(X1,X0),vplus(X2,X1))
| ~ less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_136])]) ).
fof(f2606,plain,
( ! [X0,X1] :
( less(vplus(X0,X1),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_136 ),
inference(superposition,[],[f2440,f1239]) ).
fof(f2440,plain,
( ! [X2,X0,X1] :
( less(vplus(X1,X0),vplus(X2,X1))
| ~ less(X0,X2) )
| ~ spl5_136 ),
inference(avatar_component_clause,[],[f2439]) ).
fof(f48637,plain,
( spl5_568
| ~ spl5_83
| ~ spl5_136 ),
inference(avatar_split_clause,[],[f2593,f2439,f1238,f48635]) ).
fof(f48635,plain,
( spl5_568
<=> ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_568])]) ).
fof(f2593,plain,
( ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ less(X0,X1) )
| ~ spl5_83
| ~ spl5_136 ),
inference(superposition,[],[f2440,f1239]) ).
fof(f48630,plain,
( spl5_567
| ~ spl5_83
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f2571,f2435,f1238,f48628]) ).
fof(f48628,plain,
( spl5_567
<=> ! [X0,X1] :
( greater(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_567])]) ).
fof(f2435,plain,
( spl5_135
<=> ! [X2,X0,X1] :
( ~ less(X0,X1)
| greater(vplus(X1,X2),vplus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_135])]) ).
fof(f2571,plain,
( ! [X0,X1] :
( greater(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_135 ),
inference(superposition,[],[f2436,f1239]) ).
fof(f2436,plain,
( ! [X2,X0,X1] :
( greater(vplus(X1,X2),vplus(X0,X2))
| ~ less(X0,X1) )
| ~ spl5_135 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f48623,plain,
( spl5_566
| ~ spl5_83
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f2558,f2435,f1238,f48621]) ).
fof(f48621,plain,
( spl5_566
<=> ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_566])]) ).
fof(f2558,plain,
( ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_135 ),
inference(superposition,[],[f2436,f1239]) ).
fof(f48616,plain,
( spl5_565
| ~ spl5_83
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f2539,f2431,f1238,f48614]) ).
fof(f48614,plain,
( spl5_565
<=> ! [X0,X1] :
( leq(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_565])]) ).
fof(f2431,plain,
( spl5_134
<=> ! [X2,X0,X1] :
( ~ less(X0,X1)
| leq(vplus(X0,X2),vplus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_134])]) ).
fof(f2539,plain,
( ! [X0,X1] :
( leq(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_134 ),
inference(superposition,[],[f2432,f1239]) ).
fof(f2432,plain,
( ! [X2,X0,X1] :
( leq(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) )
| ~ spl5_134 ),
inference(avatar_component_clause,[],[f2431]) ).
fof(f48609,plain,
( spl5_564
| ~ spl5_83
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f2526,f2431,f1238,f48607]) ).
fof(f48607,plain,
( spl5_564
<=> ! [X0,X1] :
( leq(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_564])]) ).
fof(f2526,plain,
( ! [X0,X1] :
( leq(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_83
| ~ spl5_134 ),
inference(superposition,[],[f2432,f1239]) ).
fof(f48603,plain,
( spl5_563
| ~ spl5_83
| ~ spl5_133 ),
inference(avatar_split_clause,[],[f2507,f2427,f1238,f48601]) ).
fof(f48601,plain,
( spl5_563
<=> ! [X0,X1] :
( vplus(sK0,vplus(X0,vmul(vd411,sK0))) != vplus(X1,vmul(vplus(vd411,v1),sK0))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_563])]) ).
fof(f2427,plain,
( spl5_133
<=> ! [X2,X0,X1] :
( vplus(X1,X0) != vplus(X0,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_133])]) ).
fof(f2507,plain,
( ! [X0,X1] :
( vplus(sK0,vplus(X0,vmul(vd411,sK0))) != vplus(X1,vmul(vplus(vd411,v1),sK0))
| X0 = X1 )
| ~ spl5_83
| ~ spl5_133 ),
inference(superposition,[],[f2428,f1239]) ).
fof(f2428,plain,
( ! [X2,X0,X1] :
( vplus(X1,X0) != vplus(X0,X2)
| X1 = X2 )
| ~ spl5_133 ),
inference(avatar_component_clause,[],[f2427]) ).
fof(f48596,plain,
( spl5_562
| ~ spl5_83
| ~ spl5_133 ),
inference(avatar_split_clause,[],[f2497,f2427,f1238,f48594]) ).
fof(f48594,plain,
( spl5_562
<=> ! [X0,X1] :
( vplus(X0,X1) != vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| vmul(vplus(vd411,v1),sK0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_562])]) ).
fof(f2497,plain,
( ! [X0,X1] :
( vplus(X0,X1) != vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| vmul(vplus(vd411,v1),sK0) = X1 )
| ~ spl5_83
| ~ spl5_133 ),
inference(superposition,[],[f2428,f1239]) ).
fof(f48592,plain,
( ~ spl5_561
| ~ spl5_2
| ~ spl5_24
| ~ spl5_51
| ~ spl5_398
| spl5_559 ),
inference(avatar_split_clause,[],[f48581,f48576,f24907,f616,f385,f279,f48589]) ).
fof(f48589,plain,
( spl5_561
<=> vmul(sK0,vplus(sK0,v1)) = vmul(vmul(sK0,sK0),vplus(v1,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_561])]) ).
fof(f48581,plain,
( vmul(sK0,vplus(sK0,v1)) != vmul(vmul(sK0,sK0),vplus(v1,v1))
| ~ spl5_2
| ~ spl5_24
| ~ spl5_51
| ~ spl5_398
| spl5_559 ),
inference(forward_demodulation,[],[f48580,f35251]) ).
fof(f48587,plain,
( ~ spl5_560
| ~ spl5_398
| spl5_558 ),
inference(avatar_split_clause,[],[f48582,f48572,f24907,f48584]) ).
fof(f48584,plain,
( spl5_560
<=> sK0 = vmul(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_560])]) ).
fof(f48572,plain,
( spl5_558
<=> sK0 = vmul(vd411,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_558])]) ).
fof(f48582,plain,
( sK0 != vmul(sK0,sK0)
| ~ spl5_398
| spl5_558 ),
inference(forward_demodulation,[],[f48573,f24909]) ).
fof(f48573,plain,
( sK0 != vmul(vd411,sK0)
| spl5_558 ),
inference(avatar_component_clause,[],[f48572]) ).
fof(f48579,plain,
( spl5_558
| ~ spl5_559
| ~ spl5_70
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f2295,f1987,f1098,f48576,f48572]) ).
fof(f1987,plain,
( spl5_128
<=> ! [X0] : vmul(X0,vplus(v1,v1)) = vplus(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_128])]) ).
fof(f2295,plain,
( vmul(vplus(vd411,v1),sK0) != vmul(vmul(vd411,sK0),vplus(v1,v1))
| sK0 = vmul(vd411,sK0)
| ~ spl5_70
| ~ spl5_128 ),
inference(superposition,[],[f1099,f1988]) ).
fof(f1988,plain,
( ! [X0] : vmul(X0,vplus(v1,v1)) = vplus(X0,X0)
| ~ spl5_128 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f48567,plain,
( spl5_557
| ~ spl5_48
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1267,f1238,f529,f48565]) ).
fof(f48565,plain,
( spl5_557
<=> ! [X0,X1] :
( ~ greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| greater(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_557])]) ).
fof(f529,plain,
( spl5_48
<=> ! [X2,X0,X1] :
( greater(X0,X1)
| ~ greater(vplus(X0,X2),vplus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f1267,plain,
( ! [X0,X1] :
( ~ greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| greater(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_48
| ~ spl5_83 ),
inference(superposition,[],[f530,f1239]) ).
fof(f530,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X0,X2),vplus(X1,X2))
| greater(X0,X1) )
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f48560,plain,
( spl5_556
| ~ spl5_48
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1266,f1238,f529,f48558]) ).
fof(f48558,plain,
( spl5_556
<=> ! [X0,X1] :
( ~ greater(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| greater(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_556])]) ).
fof(f1266,plain,
( ! [X0,X1] :
( ~ greater(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| greater(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_48
| ~ spl5_83 ),
inference(superposition,[],[f530,f1239]) ).
fof(f48553,plain,
( spl5_555
| ~ spl5_47
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1265,f1238,f525,f48551]) ).
fof(f48551,plain,
( spl5_555
<=> ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| less(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_555])]) ).
fof(f525,plain,
( spl5_47
<=> ! [X2,X0,X1] :
( less(X0,X1)
| ~ less(vplus(X0,X2),vplus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f1265,plain,
( ! [X0,X1] :
( ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| less(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_47
| ~ spl5_83 ),
inference(superposition,[],[f526,f1239]) ).
fof(f526,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X0,X2),vplus(X1,X2))
| less(X0,X1) )
| ~ spl5_47 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f48546,plain,
( spl5_554
| ~ spl5_47
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1264,f1238,f525,f48544]) ).
fof(f48544,plain,
( spl5_554
<=> ! [X0,X1] :
( ~ less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_554])]) ).
fof(f1264,plain,
( ! [X0,X1] :
( ~ less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_47
| ~ spl5_83 ),
inference(superposition,[],[f526,f1239]) ).
fof(f48539,plain,
( spl5_553
| ~ spl5_45
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1262,f1238,f516,f48537]) ).
fof(f48537,plain,
( spl5_553
<=> ! [X0,X1] :
( vplus(X1,X0) != vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| vmul(vplus(vd411,v1),sK0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_553])]) ).
fof(f516,plain,
( spl5_45
<=> ! [X2,X0,X1] :
( X0 = X1
| vplus(X1,X2) != vplus(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f1262,plain,
( ! [X0,X1] :
( vplus(X1,X0) != vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| vmul(vplus(vd411,v1),sK0) = X1 )
| ~ spl5_45
| ~ spl5_83 ),
inference(superposition,[],[f517,f1239]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) != vplus(X0,X2)
| X0 = X1 )
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f48532,plain,
( spl5_552
| ~ spl5_44
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1261,f1238,f512,f48530]) ).
fof(f48530,plain,
( spl5_552
<=> ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_552])]) ).
fof(f512,plain,
( spl5_44
<=> ! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f1261,plain,
( ! [X0,X1] :
( greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ greater(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_44
| ~ spl5_83 ),
inference(superposition,[],[f513,f1239]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) )
| ~ spl5_44 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f48525,plain,
( spl5_551
| ~ spl5_44
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1260,f1238,f512,f48523]) ).
fof(f48523,plain,
( spl5_551
<=> ! [X0,X1] :
( greater(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_551])]) ).
fof(f1260,plain,
( ! [X0,X1] :
( greater(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ greater(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_44
| ~ spl5_83 ),
inference(superposition,[],[f513,f1239]) ).
fof(f48518,plain,
( spl5_550
| ~ spl5_43
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1259,f1238,f508,f48516]) ).
fof(f48516,plain,
( spl5_550
<=> ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_550])]) ).
fof(f508,plain,
( spl5_43
<=> ! [X2,X0,X1] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f1259,plain,
( ! [X0,X1] :
( less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vplus(X1,X0))
| ~ less(vmul(vplus(vd411,v1),sK0),X1) )
| ~ spl5_43
| ~ spl5_83 ),
inference(superposition,[],[f509,f1239]) ).
fof(f509,plain,
( ! [X2,X0,X1] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) )
| ~ spl5_43 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f48514,plain,
( ~ spl5_549
| spl5_22
| ~ spl5_398 ),
inference(avatar_split_clause,[],[f35101,f24907,f368,f48511]) ).
fof(f48511,plain,
( spl5_549
<=> sK0 = vmul(vplus(sK0,v1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_549])]) ).
fof(f368,plain,
( spl5_22
<=> sK0 = vmul(vplus(vd411,v1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f35101,plain,
( sK0 != vmul(vplus(sK0,v1),sK0)
| spl5_22
| ~ spl5_398 ),
inference(superposition,[],[f370,f24909]) ).
fof(f370,plain,
( sK0 != vmul(vplus(vd411,v1),sK0)
| spl5_22 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f48506,plain,
( spl5_548
| ~ spl5_43
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1258,f1238,f508,f48504]) ).
fof(f48504,plain,
( spl5_548
<=> ! [X0,X1] :
( less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_548])]) ).
fof(f1258,plain,
( ! [X0,X1] :
( less(vplus(X1,X0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_43
| ~ spl5_83 ),
inference(superposition,[],[f509,f1239]) ).
fof(f48500,plain,
( spl5_547
| ~ spl5_40
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1256,f1238,f496,f48498]) ).
fof(f48498,plain,
( spl5_547
<=> ! [X0,X1] :
( vplus(sK0,vplus(X0,vmul(vd411,sK0))) != vplus(vmul(vplus(vd411,v1),sK0),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_547])]) ).
fof(f496,plain,
( spl5_40
<=> ! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f1256,plain,
( ! [X0,X1] :
( vplus(sK0,vplus(X0,vmul(vd411,sK0))) != vplus(vmul(vplus(vd411,v1),sK0),X1)
| X0 = X1 )
| ~ spl5_40
| ~ spl5_83 ),
inference(superposition,[],[f497,f1239]) ).
fof(f497,plain,
( ! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 )
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f48493,plain,
( spl5_546
| ~ spl5_49
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f1231,f1139,f608,f48491]) ).
fof(f48491,plain,
( spl5_546
<=> ! [X0,X1] :
( ~ greater(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| greater(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_546])]) ).
fof(f1231,plain,
( ! [X0,X1] :
( ~ greater(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| greater(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_49
| ~ spl5_80 ),
inference(superposition,[],[f1140,f609]) ).
fof(f48486,plain,
( spl5_545
| ~ spl5_51
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f1230,f1139,f616,f48484]) ).
fof(f48484,plain,
( spl5_545
<=> ! [X0] :
( ~ greater(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| greater(vmul(sK0,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_545])]) ).
fof(f1230,plain,
( ! [X0] :
( ~ greater(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| greater(vmul(sK0,X0),vmul(vd411,sK0)) )
| ~ spl5_51
| ~ spl5_80 ),
inference(superposition,[],[f1140,f617]) ).
fof(f48479,plain,
( spl5_544
| ~ spl5_49
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1223,f1135,f608,f48477]) ).
fof(f48477,plain,
( spl5_544
<=> ! [X0,X1] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| greater(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_544])]) ).
fof(f1223,plain,
( ! [X0,X1] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| greater(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_49
| ~ spl5_79 ),
inference(superposition,[],[f1136,f609]) ).
fof(f48472,plain,
( spl5_543
| ~ spl5_51
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1222,f1135,f616,f48470]) ).
fof(f48470,plain,
( spl5_543
<=> ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| greater(vmul(vd411,sK0),vmul(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_543])]) ).
fof(f1222,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| greater(vmul(vd411,sK0),vmul(sK0,X0)) )
| ~ spl5_51
| ~ spl5_79 ),
inference(superposition,[],[f1136,f617]) ).
fof(f48465,plain,
( spl5_542
| ~ spl5_49
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f1216,f1131,f608,f48463]) ).
fof(f48463,plain,
( spl5_542
<=> ! [X0,X1] :
( ~ less(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| less(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_542])]) ).
fof(f1216,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| less(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_49
| ~ spl5_78 ),
inference(superposition,[],[f1132,f609]) ).
fof(f48458,plain,
( spl5_541
| ~ spl5_51
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f1215,f1131,f616,f48456]) ).
fof(f48456,plain,
( spl5_541
<=> ! [X0] :
( ~ less(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| less(vmul(sK0,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_541])]) ).
fof(f1215,plain,
( ! [X0] :
( ~ less(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| less(vmul(sK0,X0),vmul(vd411,sK0)) )
| ~ spl5_51
| ~ spl5_78 ),
inference(superposition,[],[f1132,f617]) ).
fof(f48451,plain,
( spl5_540
| ~ spl5_49
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f1210,f1127,f608,f48449]) ).
fof(f48449,plain,
( spl5_540
<=> ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| less(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_540])]) ).
fof(f1210,plain,
( ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| less(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_49
| ~ spl5_77 ),
inference(superposition,[],[f1128,f609]) ).
fof(f48444,plain,
( spl5_539
| ~ spl5_51
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f1209,f1127,f616,f48442]) ).
fof(f48442,plain,
( spl5_539
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| less(vmul(vd411,sK0),vmul(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_539])]) ).
fof(f1209,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| less(vmul(vd411,sK0),vmul(sK0,X0)) )
| ~ spl5_51
| ~ spl5_77 ),
inference(superposition,[],[f1128,f617]) ).
fof(f48430,plain,
( spl5_538
| ~ spl5_49
| ~ spl5_76 ),
inference(avatar_split_clause,[],[f1203,f1123,f608,f48428]) ).
fof(f48428,plain,
( spl5_538
<=> ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,vplus(X1,sK0))
| vplus(X0,X1) = vmul(vd411,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_538])]) ).
fof(f1203,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,vplus(X1,sK0))
| vplus(X0,X1) = vmul(vd411,sK0) )
| ~ spl5_49
| ~ spl5_76 ),
inference(superposition,[],[f1124,f609]) ).
fof(f48423,plain,
( spl5_537
| ~ spl5_51
| ~ spl5_76 ),
inference(avatar_split_clause,[],[f1202,f1123,f616,f48421]) ).
fof(f48421,plain,
( spl5_537
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vmul(sK0,vplus(v1,X0))
| vmul(vd411,sK0) = vmul(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_537])]) ).
fof(f1202,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vmul(sK0,vplus(v1,X0))
| vmul(vd411,sK0) = vmul(sK0,X0) )
| ~ spl5_51
| ~ spl5_76 ),
inference(superposition,[],[f1124,f617]) ).
fof(f48416,plain,
( spl5_536
| ~ spl5_49
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f1190,f1114,f608,f48414]) ).
fof(f48414,plain,
( spl5_536
<=> ! [X0,X1] :
( greater(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_536])]) ).
fof(f1190,plain,
( ! [X0,X1] :
( greater(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_49
| ~ spl5_74 ),
inference(superposition,[],[f1115,f609]) ).
fof(f48409,plain,
( spl5_535
| ~ spl5_51
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f1189,f1114,f616,f48407]) ).
fof(f48407,plain,
( spl5_535
<=> ! [X0] :
( greater(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vmul(sK0,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_535])]) ).
fof(f1189,plain,
( ! [X0] :
( greater(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(vmul(sK0,X0),vmul(vd411,sK0)) )
| ~ spl5_51
| ~ spl5_74 ),
inference(superposition,[],[f1115,f617]) ).
fof(f48402,plain,
( spl5_534
| ~ spl5_49
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1180,f1110,f608,f48400]) ).
fof(f48400,plain,
( spl5_534
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| ~ greater(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_534])]) ).
fof(f1180,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| ~ greater(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_49
| ~ spl5_73 ),
inference(superposition,[],[f1111,f609]) ).
fof(f48395,plain,
( spl5_533
| ~ spl5_51
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1179,f1110,f616,f48393]) ).
fof(f48393,plain,
( spl5_533
<=> ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| ~ greater(vmul(vd411,sK0),vmul(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_533])]) ).
fof(f1179,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| ~ greater(vmul(vd411,sK0),vmul(sK0,X0)) )
| ~ spl5_51
| ~ spl5_73 ),
inference(superposition,[],[f1111,f617]) ).
fof(f48388,plain,
( spl5_532
| ~ spl5_49
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1170,f1106,f608,f48386]) ).
fof(f48386,plain,
( spl5_532
<=> ! [X0,X1] :
( less(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(X0,X1),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_532])]) ).
fof(f1170,plain,
( ! [X0,X1] :
( less(vplus(X0,vplus(X1,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(vplus(X0,X1),vmul(vd411,sK0)) )
| ~ spl5_49
| ~ spl5_72 ),
inference(superposition,[],[f1107,f609]) ).
fof(f48381,plain,
( spl5_531
| ~ spl5_51
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1169,f1106,f616,f48379]) ).
fof(f48379,plain,
( spl5_531
<=> ! [X0] :
( less(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| ~ less(vmul(sK0,X0),vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_531])]) ).
fof(f1169,plain,
( ! [X0] :
( less(vmul(sK0,vplus(v1,X0)),vmul(vplus(vd411,v1),sK0))
| ~ less(vmul(sK0,X0),vmul(vd411,sK0)) )
| ~ spl5_51
| ~ spl5_72 ),
inference(superposition,[],[f1107,f617]) ).
fof(f48374,plain,
( spl5_530
| ~ spl5_49
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1158,f1102,f608,f48372]) ).
fof(f48372,plain,
( spl5_530
<=> ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| ~ less(vmul(vd411,sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_530])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vplus(X1,sK0)))
| ~ less(vmul(vd411,sK0),vplus(X0,X1)) )
| ~ spl5_49
| ~ spl5_71 ),
inference(superposition,[],[f1103,f609]) ).
fof(f48367,plain,
( spl5_529
| ~ spl5_51
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1157,f1102,f616,f48365]) ).
fof(f48365,plain,
( spl5_529
<=> ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| ~ less(vmul(vd411,sK0),vmul(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_529])]) ).
fof(f1157,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vmul(sK0,vplus(v1,X0)))
| ~ less(vmul(vd411,sK0),vmul(sK0,X0)) )
| ~ spl5_51
| ~ spl5_71 ),
inference(superposition,[],[f1103,f617]) ).
fof(f48353,plain,
( spl5_528
| ~ spl5_50
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1146,f1098,f612,f48351]) ).
fof(f48351,plain,
( spl5_528
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(v1,vplus(vmul(vd411,sK0),X0))
| vplus(v1,X0) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_528])]) ).
fof(f1146,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(v1,vplus(vmul(vd411,sK0),X0))
| vplus(v1,X0) = sK0 )
| ~ spl5_50
| ~ spl5_70 ),
inference(superposition,[],[f1099,f613]) ).
fof(f42779,plain,
( ~ spl5_527
| ~ spl5_398
| spl5_454 ),
inference(avatar_split_clause,[],[f35241,f32597,f24907,f42776]) ).
fof(f42776,plain,
( spl5_527
<=> v1 = vmul(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_527])]) ).
fof(f32597,plain,
( spl5_454
<=> v1 = vmul(vd411,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_454])]) ).
fof(f35241,plain,
( v1 != vmul(sK0,sK0)
| ~ spl5_398
| spl5_454 ),
inference(superposition,[],[f32598,f24909]) ).
fof(f32598,plain,
( v1 != vmul(vd411,sK0)
| spl5_454 ),
inference(avatar_component_clause,[],[f32597]) ).
fof(f40428,plain,
( ~ spl5_526
| spl5_366
| ~ spl5_398 ),
inference(avatar_split_clause,[],[f35158,f24907,f24105,f40425]) ).
fof(f40425,plain,
( spl5_526
<=> less(vmul(sK0,sK0),v1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_526])]) ).
fof(f24105,plain,
( spl5_366
<=> less(vmul(vd411,sK0),v1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_366])]) ).
fof(f35158,plain,
( ~ less(vmul(sK0,sK0),v1)
| spl5_366
| ~ spl5_398 ),
inference(superposition,[],[f24107,f24909]) ).
fof(f24107,plain,
( ~ less(vmul(vd411,sK0),v1)
| spl5_366 ),
inference(avatar_component_clause,[],[f24105]) ).
fof(f35098,plain,
( spl5_398
| spl5_525
| ~ spl5_119
| spl5_472 ),
inference(avatar_split_clause,[],[f34782,f33736,f1946,f35095,f24907]) ).
fof(f35095,plain,
( spl5_525
<=> less(sK0,vd411) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_525])]) ).
fof(f1946,plain,
( spl5_119
<=> ! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_119])]) ).
fof(f34782,plain,
( less(sK0,vd411)
| vd411 = sK0
| ~ spl5_119
| spl5_472 ),
inference(resolution,[],[f33738,f1947]) ).
fof(f1947,plain,
( ! [X0,X1] :
( less(X1,X0)
| less(X0,X1)
| X0 = X1 )
| ~ spl5_119 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f33738,plain,
( ~ less(vd411,sK0)
| spl5_472 ),
inference(avatar_component_clause,[],[f33736]) ).
fof(f34899,plain,
( spl5_524
| ~ spl5_66
| ~ spl5_257 ),
inference(avatar_split_clause,[],[f11721,f8841,f1022,f34897]) ).
fof(f34897,plain,
( spl5_524
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != X0
| vplus(sK0,sK2(X0,sK0)) = X0
| sK0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_524])]) ).
fof(f8841,plain,
( spl5_257
<=> ! [X2,X0,X1] :
( vplus(X1,X2) != X0
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_257])]) ).
fof(f11721,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != X0
| vplus(sK0,sK2(X0,sK0)) = X0
| sK0 = X0 )
| ~ spl5_66
| ~ spl5_257 ),
inference(superposition,[],[f8842,f1024]) ).
fof(f8842,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) != X0
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_257 ),
inference(avatar_component_clause,[],[f8841]) ).
fof(f34895,plain,
( spl5_523
| ~ spl5_66
| ~ spl5_255 ),
inference(avatar_split_clause,[],[f11694,f8833,f1022,f34893]) ).
fof(f34893,plain,
( spl5_523
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != X0
| vplus(sK0,sK1(sK0,X0)) = X0
| sK0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_523])]) ).
fof(f8833,plain,
( spl5_255
<=> ! [X2,X0,X1] :
( vplus(X1,X2) != X0
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_255])]) ).
fof(f11694,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != X0
| vplus(sK0,sK1(sK0,X0)) = X0
| sK0 = X0 )
| ~ spl5_66
| ~ spl5_255 ),
inference(superposition,[],[f8834,f1024]) ).
fof(f8834,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) != X0
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_255 ),
inference(avatar_component_clause,[],[f8833]) ).
fof(f34891,plain,
( spl5_522
| ~ spl5_66
| ~ spl5_189 ),
inference(avatar_split_clause,[],[f5663,f4583,f1022,f34889]) ).
fof(f34889,plain,
( spl5_522
<=> ! [X0,X1] :
( ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_522])]) ).
fof(f4583,plain,
( spl5_189
<=> ! [X0,X3,X2,X1] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| ~ less(vplus(X0,X2),vplus(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_189])]) ).
fof(f5663,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_189 ),
inference(superposition,[],[f4584,f1024]) ).
fof(f4584,plain,
( ! [X2,X3,X0,X1] :
( ~ less(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X2,X3)
| ~ greater(X0,X1) )
| ~ spl5_189 ),
inference(avatar_component_clause,[],[f4583]) ).
fof(f34887,plain,
( spl5_521
| ~ spl5_66
| ~ spl5_189 ),
inference(avatar_split_clause,[],[f5643,f4583,f1022,f34885]) ).
fof(f34885,plain,
( spl5_521
<=> ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_521])]) ).
fof(f5643,plain,
( ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_189 ),
inference(superposition,[],[f4584,f1024]) ).
fof(f34883,plain,
( spl5_520
| ~ spl5_66
| ~ spl5_188 ),
inference(avatar_split_clause,[],[f5605,f4579,f1022,f34881]) ).
fof(f34881,plain,
( spl5_520
<=> ! [X0,X1] :
( less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_520])]) ).
fof(f4579,plain,
( spl5_188
<=> ! [X0,X3,X2,X1] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| less(vplus(X1,X3),vplus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_188])]) ).
fof(f5605,plain,
( ! [X0,X1] :
( less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_188 ),
inference(superposition,[],[f4580,f1024]) ).
fof(f4580,plain,
( ! [X2,X3,X0,X1] :
( less(vplus(X1,X3),vplus(X0,X2))
| ~ geq(X2,X3)
| ~ greater(X0,X1) )
| ~ spl5_188 ),
inference(avatar_component_clause,[],[f4579]) ).
fof(f34879,plain,
( spl5_519
| ~ spl5_66
| ~ spl5_188 ),
inference(avatar_split_clause,[],[f5585,f4579,f1022,f34877]) ).
fof(f34877,plain,
( spl5_519
<=> ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_519])]) ).
fof(f5585,plain,
( ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_188 ),
inference(superposition,[],[f4580,f1024]) ).
fof(f34875,plain,
( spl5_518
| ~ spl5_66
| ~ spl5_187 ),
inference(avatar_split_clause,[],[f5547,f4575,f1022,f34873]) ).
fof(f34873,plain,
( spl5_518
<=> ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_518])]) ).
fof(f4575,plain,
( spl5_187
<=> ! [X0,X3,X2,X1] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| geq(vplus(X0,X2),vplus(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_187])]) ).
fof(f5547,plain,
( ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_187 ),
inference(superposition,[],[f4576,f1024]) ).
fof(f4576,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X2,X3)
| ~ greater(X0,X1) )
| ~ spl5_187 ),
inference(avatar_component_clause,[],[f4575]) ).
fof(f34869,plain,
( spl5_456
| ~ spl5_17
| ~ spl5_461 ),
inference(avatar_split_clause,[],[f34737,f33652,f348,f32615]) ).
fof(f32615,plain,
( spl5_456
<=> ! [X0] : geq(X0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_456])]) ).
fof(f33652,plain,
( spl5_461
<=> ! [X0] : leq(sK0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_461])]) ).
fof(f34737,plain,
( ! [X0] : geq(X0,sK0)
| ~ spl5_17
| ~ spl5_461 ),
inference(resolution,[],[f33653,f349]) ).
fof(f33653,plain,
( ! [X0] : leq(sK0,X0)
| ~ spl5_461 ),
inference(avatar_component_clause,[],[f33652]) ).
fof(f34868,plain,
( spl5_517
| ~ spl5_66
| ~ spl5_187 ),
inference(avatar_split_clause,[],[f5527,f4575,f1022,f34866]) ).
fof(f34866,plain,
( spl5_517
<=> ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_517])]) ).
fof(f5527,plain,
( ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_187 ),
inference(superposition,[],[f4576,f1024]) ).
fof(f34864,plain,
( spl5_516
| ~ spl5_66
| ~ spl5_184 ),
inference(avatar_split_clause,[],[f5402,f4552,f1022,f34862]) ).
fof(f34862,plain,
( spl5_516
<=> ! [X0,X1] :
( ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_516])]) ).
fof(f4552,plain,
( spl5_184
<=> ! [X0,X3,X2,X1] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| ~ less(vplus(X0,X2),vplus(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_184])]) ).
fof(f5402,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) )
| ~ spl5_66
| ~ spl5_184 ),
inference(superposition,[],[f4553,f1024]) ).
fof(f4553,plain,
( ! [X2,X3,X0,X1] :
( ~ less(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X2,X3)
| ~ geq(X0,X1) )
| ~ spl5_184 ),
inference(avatar_component_clause,[],[f4552]) ).
fof(f34860,plain,
( spl5_515
| ~ spl5_66
| ~ spl5_184 ),
inference(avatar_split_clause,[],[f5382,f4552,f1022,f34858]) ).
fof(f34858,plain,
( spl5_515
<=> ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_515])]) ).
fof(f5382,plain,
( ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) )
| ~ spl5_66
| ~ spl5_184 ),
inference(superposition,[],[f4553,f1024]) ).
fof(f34856,plain,
( spl5_514
| ~ spl5_66
| ~ spl5_183 ),
inference(avatar_split_clause,[],[f5345,f4548,f1022,f34854]) ).
fof(f34854,plain,
( spl5_514
<=> ! [X0,X1] :
( less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_514])]) ).
fof(f4548,plain,
( spl5_183
<=> ! [X0,X3,X2,X1] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| less(vplus(X1,X3),vplus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_183])]) ).
fof(f5345,plain,
( ! [X0,X1] :
( less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) )
| ~ spl5_66
| ~ spl5_183 ),
inference(superposition,[],[f4549,f1024]) ).
fof(f4549,plain,
( ! [X2,X3,X0,X1] :
( less(vplus(X1,X3),vplus(X0,X2))
| ~ greater(X2,X3)
| ~ geq(X0,X1) )
| ~ spl5_183 ),
inference(avatar_component_clause,[],[f4548]) ).
fof(f34852,plain,
( spl5_513
| ~ spl5_66
| ~ spl5_183 ),
inference(avatar_split_clause,[],[f5325,f4548,f1022,f34850]) ).
fof(f34850,plain,
( spl5_513
<=> ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_513])]) ).
fof(f5325,plain,
( ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) )
| ~ spl5_66
| ~ spl5_183 ),
inference(superposition,[],[f4549,f1024]) ).
fof(f34848,plain,
( spl5_512
| ~ spl5_66
| ~ spl5_182 ),
inference(avatar_split_clause,[],[f5288,f4544,f1022,f34846]) ).
fof(f34846,plain,
( spl5_512
<=> ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_512])]) ).
fof(f4544,plain,
( spl5_182
<=> ! [X0,X3,X2,X1] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| geq(vplus(X0,X2),vplus(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_182])]) ).
fof(f5288,plain,
( ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) )
| ~ spl5_66
| ~ spl5_182 ),
inference(superposition,[],[f4545,f1024]) ).
fof(f4545,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X2,X3)
| ~ geq(X0,X1) )
| ~ spl5_182 ),
inference(avatar_component_clause,[],[f4544]) ).
fof(f34844,plain,
( spl5_511
| ~ spl5_66
| ~ spl5_182 ),
inference(avatar_split_clause,[],[f5268,f4544,f1022,f34842]) ).
fof(f34842,plain,
( spl5_511
<=> ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_511])]) ).
fof(f5268,plain,
( ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) )
| ~ spl5_66
| ~ spl5_182 ),
inference(superposition,[],[f4545,f1024]) ).
fof(f34840,plain,
( spl5_510
| ~ spl5_66
| ~ spl5_180 ),
inference(avatar_split_clause,[],[f5194,f4536,f1022,f34838]) ).
fof(f34838,plain,
( spl5_510
<=> ! [X0,X1] :
( ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_510])]) ).
fof(f4536,plain,
( spl5_180
<=> ! [X0,X3,X2,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| ~ less(vplus(X0,X2),vplus(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_180])]) ).
fof(f5194,plain,
( ! [X0,X1] :
( ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_180 ),
inference(superposition,[],[f4537,f1024]) ).
fof(f4537,plain,
( ! [X2,X3,X0,X1] :
( ~ less(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) )
| ~ spl5_180 ),
inference(avatar_component_clause,[],[f4536]) ).
fof(f34836,plain,
( spl5_509
| ~ spl5_66
| ~ spl5_180 ),
inference(avatar_split_clause,[],[f5174,f4536,f1022,f34834]) ).
fof(f34834,plain,
( spl5_509
<=> ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_509])]) ).
fof(f5174,plain,
( ! [X0,X1] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_180 ),
inference(superposition,[],[f4537,f1024]) ).
fof(f34832,plain,
( spl5_508
| ~ spl5_66
| ~ spl5_179 ),
inference(avatar_split_clause,[],[f5138,f4532,f1022,f34830]) ).
fof(f34830,plain,
( spl5_508
<=> ! [X0,X1] :
( less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_508])]) ).
fof(f4532,plain,
( spl5_179
<=> ! [X0,X3,X2,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| less(vplus(X1,X3),vplus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_179])]) ).
fof(f5138,plain,
( ! [X0,X1] :
( less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_179 ),
inference(superposition,[],[f4533,f1024]) ).
fof(f4533,plain,
( ! [X2,X3,X0,X1] :
( less(vplus(X1,X3),vplus(X0,X2))
| ~ greater(X2,X3)
| ~ greater(X0,X1) )
| ~ spl5_179 ),
inference(avatar_component_clause,[],[f4532]) ).
fof(f34828,plain,
( spl5_507
| ~ spl5_30
| ~ spl5_456 ),
inference(avatar_split_clause,[],[f34687,f32615,f434,f34826]) ).
fof(f34826,plain,
( spl5_507
<=> ! [X0] :
( greater(X0,sK0)
| sK0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_507])]) ).
fof(f434,plain,
( spl5_30
<=> ! [X0,X1] :
( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f34687,plain,
( ! [X0] :
( greater(X0,sK0)
| sK0 = X0 )
| ~ spl5_30
| ~ spl5_456 ),
inference(resolution,[],[f32616,f435]) ).
fof(f435,plain,
( ! [X0,X1] :
( ~ geq(X1,X0)
| greater(X1,X0)
| X0 = X1 )
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f32616,plain,
( ! [X0] : geq(X0,sK0)
| ~ spl5_456 ),
inference(avatar_component_clause,[],[f32615]) ).
fof(f34824,plain,
( spl5_506
| ~ spl5_66
| ~ spl5_179 ),
inference(avatar_split_clause,[],[f5118,f4532,f1022,f34822]) ).
fof(f34822,plain,
( spl5_506
<=> ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_506])]) ).
fof(f5118,plain,
( ! [X0,X1] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_179 ),
inference(superposition,[],[f4533,f1024]) ).
fof(f34820,plain,
( spl5_505
| ~ spl5_66
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f5082,f4528,f1022,f34818]) ).
fof(f34818,plain,
( spl5_505
<=> ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_505])]) ).
fof(f4528,plain,
( spl5_178
<=> ! [X0,X3,X2,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| geq(vplus(X0,X2),vplus(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_178])]) ).
fof(f5082,plain,
( ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X1,vmul(vd411,sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_178 ),
inference(superposition,[],[f4529,f1024]) ).
fof(f4529,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) )
| ~ spl5_178 ),
inference(avatar_component_clause,[],[f4528]) ).
fof(f34816,plain,
( spl5_504
| ~ spl5_66
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f5062,f4528,f1022,f34814]) ).
fof(f34814,plain,
( spl5_504
<=> ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_504])]) ).
fof(f5062,plain,
( ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X1)
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_178 ),
inference(superposition,[],[f4529,f1024]) ).
fof(f34812,plain,
( spl5_503
| ~ spl5_66
| ~ spl5_176 ),
inference(avatar_split_clause,[],[f4998,f4506,f1022,f34810]) ).
fof(f34810,plain,
( spl5_503
<=> ! [X0,X1] :
( leq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_503])]) ).
fof(f4506,plain,
( spl5_176
<=> ! [X0,X3,X2,X1] :
( ~ geq(X0,X1)
| ~ geq(X2,X3)
| leq(vplus(X1,X3),vplus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_176])]) ).
fof(f4998,plain,
( ! [X0,X1] :
( leq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(vmul(vd411,sK0),X1)
| ~ geq(sK0,X0) )
| ~ spl5_66
| ~ spl5_176 ),
inference(superposition,[],[f4507,f1024]) ).
fof(f4507,plain,
( ! [X2,X3,X0,X1] :
( leq(vplus(X1,X3),vplus(X0,X2))
| ~ geq(X2,X3)
| ~ geq(X0,X1) )
| ~ spl5_176 ),
inference(avatar_component_clause,[],[f4506]) ).
fof(f34808,plain,
( spl5_502
| ~ spl5_66
| ~ spl5_176 ),
inference(avatar_split_clause,[],[f4978,f4506,f1022,f34806]) ).
fof(f34806,plain,
( spl5_502
<=> ! [X0,X1] :
( leq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_502])]) ).
fof(f4978,plain,
( ! [X0,X1] :
( leq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(X1,vmul(vd411,sK0))
| ~ geq(X0,sK0) )
| ~ spl5_66
| ~ spl5_176 ),
inference(superposition,[],[f4507,f1024]) ).
fof(f34804,plain,
( spl5_501
| ~ spl5_66
| ~ spl5_173 ),
inference(avatar_split_clause,[],[f4685,f4494,f1022,f34802]) ).
fof(f34802,plain,
( spl5_501
<=> ! [X0,X1] :
( ~ less(X0,vmul(vplus(vd411,v1),sK0))
| ~ less(sK0,X1)
| less(X0,vplus(X1,vmul(vd411,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_501])]) ).
fof(f4494,plain,
( spl5_173
<=> ! [X0,X3,X2,X1] :
( ~ less(X0,X1)
| ~ less(X2,vplus(X0,X3))
| less(X2,vplus(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_173])]) ).
fof(f4685,plain,
( ! [X0,X1] :
( ~ less(X0,vmul(vplus(vd411,v1),sK0))
| ~ less(sK0,X1)
| less(X0,vplus(X1,vmul(vd411,sK0))) )
| ~ spl5_66
| ~ spl5_173 ),
inference(superposition,[],[f4495,f1024]) ).
fof(f4495,plain,
( ! [X2,X3,X0,X1] :
( ~ less(X2,vplus(X0,X3))
| ~ less(X0,X1)
| less(X2,vplus(X1,X3)) )
| ~ spl5_173 ),
inference(avatar_component_clause,[],[f4494]) ).
fof(f34800,plain,
( spl5_500
| ~ spl5_71
| ~ spl5_173 ),
inference(avatar_split_clause,[],[f4661,f4494,f1102,f34798]) ).
fof(f34798,plain,
( spl5_500
<=> ! [X0,X1] :
( ~ less(X0,X1)
| less(vmul(vplus(vd411,v1),sK0),vplus(X1,sK0))
| ~ less(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_500])]) ).
fof(f4661,plain,
( ! [X0,X1] :
( ~ less(X0,X1)
| less(vmul(vplus(vd411,v1),sK0),vplus(X1,sK0))
| ~ less(vmul(vd411,sK0),X0) )
| ~ spl5_71
| ~ spl5_173 ),
inference(resolution,[],[f4495,f1103]) ).
fof(f34796,plain,
( ~ spl5_499
| spl5_84
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f3303,f2990,f1340,f34793]) ).
fof(f34793,plain,
( spl5_499
<=> vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(v1,vplus(sK0,vmul(vd411,vplus(sK0,v1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_499])]) ).
fof(f1340,plain,
( spl5_84
<=> vplus(vplus(sK0,v1),vmul(vd411,vplus(sK0,v1))) = vmul(vplus(vd411,v1),vplus(sK0,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f3303,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) != vplus(v1,vplus(sK0,vmul(vd411,vplus(sK0,v1))))
| spl5_84
| ~ spl5_151 ),
inference(superposition,[],[f1342,f2991]) ).
fof(f1342,plain,
( vplus(vplus(sK0,v1),vmul(vd411,vplus(sK0,v1))) != vmul(vplus(vd411,v1),vplus(sK0,v1))
| spl5_84 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f34791,plain,
( spl5_498
| ~ spl5_83
| ~ spl5_122 ),
inference(avatar_split_clause,[],[f2132,f1958,f1238,f34789]) ).
fof(f34789,plain,
( spl5_498
<=> ! [X0,X1] : less(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_498])]) ).
fof(f1958,plain,
( spl5_122
<=> ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_122])]) ).
fof(f2132,plain,
( ! [X0,X1] : less(vplus(X1,vmul(vplus(vd411,v1),sK0)),vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0)))))
| ~ spl5_83
| ~ spl5_122 ),
inference(superposition,[],[f1959,f1239]) ).
fof(f1959,plain,
( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
| ~ spl5_122 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f34787,plain,
( spl5_497
| ~ spl5_83
| ~ spl5_121 ),
inference(avatar_split_clause,[],[f2093,f1954,f1238,f34785]) ).
fof(f34785,plain,
( spl5_497
<=> ! [X0,X1] : vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0)))) != vplus(X1,vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_497])]) ).
fof(f1954,plain,
( spl5_121
<=> ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
fof(f2093,plain,
( ! [X0,X1] : vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0)))) != vplus(X1,vmul(vplus(vd411,v1),sK0))
| ~ spl5_83
| ~ spl5_121 ),
inference(superposition,[],[f1955,f1239]) ).
fof(f1955,plain,
( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2))
| ~ spl5_121 ),
inference(avatar_component_clause,[],[f1954]) ).
fof(f34777,plain,
( spl5_496
| ~ spl5_83
| ~ spl5_120 ),
inference(avatar_split_clause,[],[f2050,f1950,f1238,f34775]) ).
fof(f34775,plain,
( spl5_496
<=> ! [X0,X1] : greater(vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0)))),vplus(X1,vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_496])]) ).
fof(f1950,plain,
( spl5_120
<=> ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_120])]) ).
fof(f2050,plain,
( ! [X0,X1] : greater(vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0)))),vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_83
| ~ spl5_120 ),
inference(superposition,[],[f1951,f1239]) ).
fof(f1951,plain,
( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1))
| ~ spl5_120 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f34773,plain,
( spl5_495
| ~ spl5_16
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f1507,f1377,f344,f34771]) ).
fof(f34771,plain,
( spl5_495
<=> ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_495])]) ).
fof(f344,plain,
( spl5_16
<=> ! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f1377,plain,
( spl5_92
<=> ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
fof(f1507,plain,
( ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_16
| ~ spl5_92 ),
inference(resolution,[],[f1378,f345]) ).
fof(f345,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f1378,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0) )
| ~ spl5_92 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f34769,plain,
( spl5_494
| ~ spl5_20
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f1506,f1377,f360,f34767]) ).
fof(f34767,plain,
( spl5_494
<=> ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_494])]) ).
fof(f360,plain,
( spl5_20
<=> ! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f1506,plain,
( ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_20
| ~ spl5_92 ),
inference(resolution,[],[f1378,f361]) ).
fof(f361,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) )
| ~ spl5_20 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f34765,plain,
( spl5_493
| ~ spl5_23
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f1505,f1377,f373,f34763]) ).
fof(f34763,plain,
( spl5_493
<=> ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_493])]) ).
fof(f373,plain,
( spl5_23
<=> ! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f1505,plain,
( ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_23
| ~ spl5_92 ),
inference(resolution,[],[f1378,f374]) ).
fof(f374,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| geq(X1,X0) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f34761,plain,
( spl5_492
| ~ spl5_16
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1489,f1373,f344,f34759]) ).
fof(f34759,plain,
( spl5_492
<=> ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_492])]) ).
fof(f1373,plain,
( spl5_91
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f1489,plain,
( ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_16
| ~ spl5_91 ),
inference(resolution,[],[f1374,f345]) ).
fof(f1374,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1) )
| ~ spl5_91 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f34757,plain,
( spl5_491
| ~ spl5_20
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1488,f1373,f360,f34755]) ).
fof(f34755,plain,
( spl5_491
<=> ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_491])]) ).
fof(f1488,plain,
( ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_20
| ~ spl5_91 ),
inference(resolution,[],[f1374,f361]) ).
fof(f34753,plain,
( spl5_490
| ~ spl5_23
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f1487,f1373,f373,f34751]) ).
fof(f34751,plain,
( spl5_490
<=> ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_490])]) ).
fof(f1487,plain,
( ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_23
| ~ spl5_91 ),
inference(resolution,[],[f1374,f374]) ).
fof(f34749,plain,
( spl5_489
| ~ spl5_16
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1471,f1369,f344,f34747]) ).
fof(f34747,plain,
( spl5_489
<=> ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_489])]) ).
fof(f1369,plain,
( spl5_90
<=> ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f1471,plain,
( ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_16
| ~ spl5_90 ),
inference(resolution,[],[f1370,f345]) ).
fof(f1370,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0) )
| ~ spl5_90 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f34745,plain,
( spl5_488
| ~ spl5_20
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1470,f1369,f360,f34743]) ).
fof(f34743,plain,
( spl5_488
<=> ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_488])]) ).
fof(f1470,plain,
( ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_20
| ~ spl5_90 ),
inference(resolution,[],[f1370,f361]) ).
fof(f34741,plain,
( spl5_487
| ~ spl5_23
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1469,f1369,f373,f34739]) ).
fof(f34739,plain,
( spl5_487
<=> ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_487])]) ).
fof(f1469,plain,
( ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_23
| ~ spl5_90 ),
inference(resolution,[],[f1370,f374]) ).
fof(f34732,plain,
( spl5_486
| ~ spl5_16
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f1453,f1365,f344,f34730]) ).
fof(f34730,plain,
( spl5_486
<=> ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_486])]) ).
fof(f1365,plain,
( spl5_89
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f1453,plain,
( ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_16
| ~ spl5_89 ),
inference(resolution,[],[f1366,f345]) ).
fof(f1366,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1) )
| ~ spl5_89 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f34728,plain,
( spl5_485
| ~ spl5_20
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f1452,f1365,f360,f34726]) ).
fof(f34726,plain,
( spl5_485
<=> ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_485])]) ).
fof(f1452,plain,
( ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_20
| ~ spl5_89 ),
inference(resolution,[],[f1366,f361]) ).
fof(f34724,plain,
( spl5_484
| ~ spl5_23
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f1451,f1365,f373,f34722]) ).
fof(f34722,plain,
( spl5_484
<=> ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_484])]) ).
fof(f1451,plain,
( ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_23
| ~ spl5_89 ),
inference(resolution,[],[f1366,f374]) ).
fof(f34720,plain,
( spl5_483
| ~ spl5_16
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1435,f1361,f344,f34718]) ).
fof(f34718,plain,
( spl5_483
<=> ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_483])]) ).
fof(f1361,plain,
( spl5_88
<=> ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f1435,plain,
( ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| ~ less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_16
| ~ spl5_88 ),
inference(resolution,[],[f1362,f345]) ).
fof(f1362,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0) )
| ~ spl5_88 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f34716,plain,
( spl5_482
| ~ spl5_20
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1434,f1361,f360,f34714]) ).
fof(f34714,plain,
( spl5_482
<=> ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_482])]) ).
fof(f1434,plain,
( ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_20
| ~ spl5_88 ),
inference(resolution,[],[f1362,f361]) ).
fof(f34712,plain,
( spl5_481
| ~ spl5_23
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f1433,f1361,f373,f34710]) ).
fof(f34710,plain,
( spl5_481
<=> ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_481])]) ).
fof(f1433,plain,
( ! [X0,X1] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0)
| geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_23
| ~ spl5_88 ),
inference(resolution,[],[f1362,f374]) ).
fof(f34708,plain,
( spl5_480
| ~ spl5_16
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1417,f1357,f344,f34706]) ).
fof(f34706,plain,
( spl5_480
<=> ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_480])]) ).
fof(f1357,plain,
( spl5_87
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f1417,plain,
( ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_16
| ~ spl5_87 ),
inference(resolution,[],[f1358,f345]) ).
fof(f1358,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1) )
| ~ spl5_87 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f34704,plain,
( spl5_479
| ~ spl5_20
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1416,f1357,f360,f34702]) ).
fof(f34702,plain,
( spl5_479
<=> ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_479])]) ).
fof(f1416,plain,
( ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| less(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_20
| ~ spl5_87 ),
inference(resolution,[],[f1358,f361]) ).
fof(f34700,plain,
( spl5_478
| ~ spl5_23
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1415,f1357,f373,f34698]) ).
fof(f34698,plain,
( spl5_478
<=> ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_478])]) ).
fof(f1415,plain,
( ! [X0,X1] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_23
| ~ spl5_87 ),
inference(resolution,[],[f1358,f374]) ).
fof(f34696,plain,
( spl5_477
| ~ spl5_18
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1396,f1353,f352,f34694]) ).
fof(f34694,plain,
( spl5_477
<=> ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| leq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_477])]) ).
fof(f352,plain,
( spl5_18
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f1353,plain,
( spl5_86
<=> ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f1396,plain,
( ! [X0,X1] :
( ~ geq(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0)
| leq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1)) )
| ~ spl5_18
| ~ spl5_86 ),
inference(resolution,[],[f1354,f353]) ).
fof(f353,plain,
( ! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0) )
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f1354,plain,
( ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0) )
| ~ spl5_86 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f34684,plain,
( spl5_476
| ~ spl5_18
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1382,f1345,f352,f34682]) ).
fof(f34682,plain,
( spl5_476
<=> ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| leq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_476])]) ).
fof(f1345,plain,
( spl5_85
<=> ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f1382,plain,
( ! [X0,X1] :
( ~ geq(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1)
| leq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_18
| ~ spl5_85 ),
inference(resolution,[],[f1346,f353]) ).
fof(f1346,plain,
( ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1) )
| ~ spl5_85 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f34527,plain,
( ~ spl5_24
| ~ spl5_128
| ~ spl5_195
| ~ spl5_474
| spl5_475 ),
inference(avatar_contradiction_clause,[],[f34526]) ).
fof(f34526,plain,
( $false
| ~ spl5_24
| ~ spl5_128
| ~ spl5_195
| ~ spl5_474
| spl5_475 ),
inference(trivial_inequality_removal,[],[f34525]) ).
fof(f34525,plain,
( vmul(vplus(sK0,vd411),vplus(sK0,sK0)) != vmul(vplus(sK0,vd411),vplus(sK0,sK0))
| ~ spl5_24
| ~ spl5_128
| ~ spl5_195
| ~ spl5_474
| spl5_475 ),
inference(forward_demodulation,[],[f34524,f386]) ).
fof(f34524,plain,
( vmul(vplus(vd411,sK0),vplus(sK0,sK0)) != vmul(vplus(sK0,vd411),vplus(sK0,sK0))
| ~ spl5_128
| ~ spl5_195
| ~ spl5_474
| spl5_475 ),
inference(forward_demodulation,[],[f34523,f33753]) ).
fof(f33753,plain,
( vmul(vplus(sK0,vd411),vplus(sK0,sK0)) = vplus(sK0,vplus(sK0,vplus(vd411,vd411)))
| ~ spl5_474 ),
inference(avatar_component_clause,[],[f33751]) ).
fof(f33751,plain,
( spl5_474
<=> vmul(vplus(sK0,vd411),vplus(sK0,sK0)) = vplus(sK0,vplus(sK0,vplus(vd411,vd411))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_474])]) ).
fof(f34523,plain,
( vmul(vplus(vd411,sK0),vplus(sK0,sK0)) != vplus(sK0,vplus(sK0,vplus(vd411,vd411)))
| ~ spl5_128
| ~ spl5_195
| spl5_475 ),
inference(forward_demodulation,[],[f34522,f31406]) ).
fof(f31406,plain,
( ! [X0] : vplus(X0,X0) = vmul(X0,vplus(sK0,sK0))
| ~ spl5_128
| ~ spl5_195 ),
inference(superposition,[],[f1988,f5780]) ).
fof(f5780,plain,
( v1 = sK0
| ~ spl5_195 ),
inference(avatar_component_clause,[],[f5778]) ).
fof(f5778,plain,
( spl5_195
<=> v1 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_195])]) ).
fof(f34522,plain,
( vmul(vplus(vd411,sK0),vplus(sK0,sK0)) != vplus(sK0,vplus(sK0,vmul(vd411,vplus(sK0,sK0))))
| ~ spl5_195
| spl5_475 ),
inference(forward_demodulation,[],[f34520,f5780]) ).
fof(f34520,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) != vplus(sK0,vplus(v1,vmul(vd411,vplus(sK0,v1))))
| spl5_475 ),
inference(avatar_component_clause,[],[f34518]) ).
fof(f34518,plain,
( spl5_475
<=> vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(sK0,vplus(v1,vmul(vd411,vplus(sK0,v1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_475])]) ).
fof(f34521,plain,
( ~ spl5_475
| ~ spl5_49
| spl5_84 ),
inference(avatar_split_clause,[],[f1380,f1340,f608,f34518]) ).
fof(f1380,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) != vplus(sK0,vplus(v1,vmul(vd411,vplus(sK0,v1))))
| ~ spl5_49
| spl5_84 ),
inference(superposition,[],[f1342,f609]) ).
fof(f33754,plain,
( spl5_474
| ~ spl5_13
| ~ spl5_24
| ~ spl5_152
| ~ spl5_195
| ~ spl5_473 ),
inference(avatar_split_clause,[],[f33749,f33741,f5778,f2994,f385,f328,f33751]) ).
fof(f328,plain,
( spl5_13
<=> ! [X0] : vmul(X0,v1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f33749,plain,
( vmul(vplus(sK0,vd411),vplus(sK0,sK0)) = vplus(sK0,vplus(sK0,vplus(vd411,vd411)))
| ~ spl5_13
| ~ spl5_24
| ~ spl5_152
| ~ spl5_195
| ~ spl5_473 ),
inference(forward_demodulation,[],[f33748,f386]) ).
fof(f33748,plain,
( vmul(vplus(vd411,sK0),vplus(sK0,sK0)) = vplus(sK0,vplus(sK0,vplus(vd411,vd411)))
| ~ spl5_13
| ~ spl5_152
| ~ spl5_195
| ~ spl5_473 ),
inference(forward_demodulation,[],[f33747,f2995]) ).
fof(f33747,plain,
( vmul(vplus(vd411,sK0),vplus(sK0,sK0)) = vplus(sK0,vplus(vd411,vplus(vd411,sK0)))
| ~ spl5_13
| ~ spl5_152
| ~ spl5_195
| ~ spl5_473 ),
inference(forward_demodulation,[],[f33746,f5780]) ).
fof(f33746,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(vd411,v1)))
| ~ spl5_13
| ~ spl5_152
| ~ spl5_195
| ~ spl5_473 ),
inference(forward_demodulation,[],[f33745,f2995]) ).
fof(f33745,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(v1,vd411)))
| ~ spl5_13
| ~ spl5_195
| ~ spl5_473 ),
inference(forward_demodulation,[],[f33743,f31363]) ).
fof(f31363,plain,
( ! [X0] : vmul(X0,sK0) = X0
| ~ spl5_13
| ~ spl5_195 ),
inference(superposition,[],[f329,f5780]) ).
fof(f329,plain,
( ! [X0] : vmul(X0,v1) = X0
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f33744,plain,
( spl5_473
| ~ spl5_24
| ~ spl5_49
| ~ spl5_51
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1298,f1238,f616,f608,f385,f33741]) ).
fof(f1298,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0))))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_51
| ~ spl5_83 ),
inference(forward_demodulation,[],[f1297,f386]) ).
fof(f1297,plain,
( vplus(sK0,vplus(vd411,vplus(v1,vmul(vd411,sK0)))) = vmul(vplus(vd411,v1),vplus(v1,sK0))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_51
| ~ spl5_83 ),
inference(forward_demodulation,[],[f1296,f624]) ).
fof(f1296,plain,
( vmul(vplus(vd411,v1),vplus(v1,sK0)) = vplus(sK0,vplus(v1,vplus(vmul(vd411,sK0),vd411)))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_51
| ~ spl5_83 ),
inference(forward_demodulation,[],[f1295,f624]) ).
fof(f1295,plain,
( vmul(vplus(vd411,v1),vplus(v1,sK0)) = vplus(sK0,vplus(vmul(vd411,sK0),vplus(vd411,v1)))
| ~ spl5_24
| ~ spl5_51
| ~ spl5_83 ),
inference(forward_demodulation,[],[f1241,f386]) ).
fof(f1241,plain,
( vmul(vplus(vd411,v1),vplus(v1,sK0)) = vplus(sK0,vplus(vplus(vd411,v1),vmul(vd411,sK0)))
| ~ spl5_51
| ~ spl5_83 ),
inference(superposition,[],[f1239,f617]) ).
fof(f33739,plain,
( ~ spl5_472
| ~ spl5_13
| ~ spl5_195
| spl5_366 ),
inference(avatar_split_clause,[],[f31685,f24105,f5778,f328,f33736]) ).
fof(f31685,plain,
( ~ less(vd411,sK0)
| ~ spl5_13
| ~ spl5_195
| spl5_366 ),
inference(forward_demodulation,[],[f31504,f31363]) ).
fof(f31504,plain,
( ~ less(vmul(vd411,sK0),sK0)
| ~ spl5_195
| spl5_366 ),
inference(superposition,[],[f24107,f5780]) ).
fof(f33731,plain,
( spl5_471
| ~ spl5_33
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1163,f1106,f447,f33729]) ).
fof(f33729,plain,
( spl5_471
<=> ! [X0,X1] :
( ~ less(X0,vmul(vd411,sK0))
| ~ less(X1,vplus(X0,sK0))
| less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_471])]) ).
fof(f1163,plain,
( ! [X0,X1] :
( ~ less(X0,vmul(vd411,sK0))
| ~ less(X1,vplus(X0,sK0))
| less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_33
| ~ spl5_72 ),
inference(resolution,[],[f1107,f448]) ).
fof(f33724,plain,
( spl5_470
| ~ spl5_33
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1151,f1102,f447,f33722]) ).
fof(f33722,plain,
( spl5_470
<=> ! [X0,X1] :
( ~ less(vmul(vd411,sK0),X0)
| ~ less(X1,vmul(vplus(vd411,v1),sK0))
| less(X1,vplus(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_470])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( ~ less(vmul(vd411,sK0),X0)
| ~ less(X1,vmul(vplus(vd411,v1),sK0))
| less(X1,vplus(X0,sK0)) )
| ~ spl5_33
| ~ spl5_71 ),
inference(resolution,[],[f1103,f448]) ).
fof(f33715,plain,
( spl5_469
| ~ spl5_24
| ~ spl5_62
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1079,f1022,f967,f385,f33712]) ).
fof(f33712,plain,
( spl5_469
<=> vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(vmul(vd411,sK0),vplus(sK0,vplus(vd411,v1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_469])]) ).
fof(f967,plain,
( spl5_62
<=> ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,X0),vplus(X0,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f1079,plain,
( vmul(vplus(vd411,v1),vplus(sK0,v1)) = vplus(vmul(vd411,sK0),vplus(sK0,vplus(vd411,v1)))
| ~ spl5_24
| ~ spl5_62
| ~ spl5_66 ),
inference(forward_demodulation,[],[f1066,f386]) ).
fof(f1066,plain,
( vplus(vmul(vd411,sK0),vplus(sK0,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,sK0))
| ~ spl5_62
| ~ spl5_66 ),
inference(trivial_inequality_removal,[],[f1038]) ).
fof(f1038,plain,
( vmul(vplus(vd411,v1),sK0) != vmul(vplus(vd411,v1),sK0)
| vplus(vmul(vd411,sK0),vplus(sK0,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,sK0))
| ~ spl5_62
| ~ spl5_66 ),
inference(superposition,[],[f968,f1024]) ).
fof(f968,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,X0),vplus(X0,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,X0)) )
| ~ spl5_62 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f33706,plain,
( spl5_468
| ~ spl5_55
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1065,f1022,f752,f33704]) ).
fof(f33704,plain,
( spl5_468
<=> ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0)
| ~ geq(X1,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_468])]) ).
fof(f752,plain,
( spl5_55
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ geq(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
fof(f1065,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0)
| ~ geq(X1,vmul(vd411,sK0)) )
| ~ spl5_55
| ~ spl5_66 ),
inference(superposition,[],[f753,f1024]) ).
fof(f753,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ geq(X2,X3) )
| ~ spl5_55 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f33698,plain,
( spl5_467
| ~ spl5_55
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1064,f1022,f752,f33696]) ).
fof(f33696,plain,
( spl5_467
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(sK0,X0)
| ~ geq(vmul(vd411,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_467])]) ).
fof(f1064,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(sK0,X0)
| ~ geq(vmul(vd411,sK0),X1) )
| ~ spl5_55
| ~ spl5_66 ),
inference(superposition,[],[f753,f1024]) ).
fof(f33690,plain,
( spl5_466
| ~ spl5_54
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1063,f1022,f748,f33688]) ).
fof(f33688,plain,
( spl5_466
<=> ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,sK0)
| ~ greater(X1,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_466])]) ).
fof(f748,plain,
( spl5_54
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ greater(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
fof(f1063,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,sK0)
| ~ greater(X1,vmul(vd411,sK0)) )
| ~ spl5_54
| ~ spl5_66 ),
inference(superposition,[],[f749,f1024]) ).
fof(f749,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ greater(X2,X3) )
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f33682,plain,
( spl5_465
| ~ spl5_54
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1062,f1022,f748,f33680]) ).
fof(f33680,plain,
( spl5_465
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(sK0,X0)
| ~ greater(vmul(vd411,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_465])]) ).
fof(f1062,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(sK0,X0)
| ~ greater(vmul(vd411,sK0),X1) )
| ~ spl5_54
| ~ spl5_66 ),
inference(superposition,[],[f749,f1024]) ).
fof(f33674,plain,
( spl5_464
| ~ spl5_53
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1061,f1022,f744,f33672]) ).
fof(f33672,plain,
( spl5_464
<=> ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0)
| ~ greater(X1,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_464])]) ).
fof(f744,plain,
( spl5_53
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f1061,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0)
| ~ greater(X1,vmul(vd411,sK0)) )
| ~ spl5_53
| ~ spl5_66 ),
inference(superposition,[],[f745,f1024]) ).
fof(f745,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) )
| ~ spl5_53 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f33666,plain,
( spl5_463
| ~ spl5_53
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1060,f1022,f744,f33664]) ).
fof(f33664,plain,
( spl5_463
<=> ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(sK0,X0)
| ~ greater(vmul(vd411,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_463])]) ).
fof(f1060,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(sK0,X0)
| ~ greater(vmul(vd411,sK0),X1) )
| ~ spl5_53
| ~ spl5_66 ),
inference(superposition,[],[f745,f1024]) ).
fof(f33658,plain,
( spl5_462
| ~ spl5_52
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1059,f1022,f740,f33656]) ).
fof(f33656,plain,
( spl5_462
<=> ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,sK0)
| ~ geq(X1,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_462])]) ).
fof(f740,plain,
( spl5_52
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f1059,plain,
( ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,sK0)
| ~ geq(X1,vmul(vd411,sK0)) )
| ~ spl5_52
| ~ spl5_66 ),
inference(superposition,[],[f741,f1024]) ).
fof(f741,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) )
| ~ spl5_52 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f33654,plain,
( spl5_461
| ~ spl5_69
| ~ spl5_195 ),
inference(avatar_split_clause,[],[f31373,f5778,f1089,f33652]) ).
fof(f1089,plain,
( spl5_69
<=> ! [X0] : leq(v1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f31373,plain,
( ! [X0] : leq(sK0,X0)
| ~ spl5_69
| ~ spl5_195 ),
inference(superposition,[],[f1090,f5780]) ).
fof(f1090,plain,
( ! [X0] : leq(v1,X0)
| ~ spl5_69 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f33646,plain,
( spl5_460
| ~ spl5_52
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1058,f1022,f740,f33644]) ).
fof(f33644,plain,
( spl5_460
<=> ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(sK0,X0)
| ~ geq(vmul(vd411,sK0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_460])]) ).
fof(f1058,plain,
( ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(sK0,X0)
| ~ geq(vmul(vd411,sK0),X1) )
| ~ spl5_52
| ~ spl5_66 ),
inference(superposition,[],[f741,f1024]) ).
fof(f33448,plain,
( ~ spl5_14
| ~ spl5_458 ),
inference(avatar_contradiction_clause,[],[f33447]) ).
fof(f33447,plain,
( $false
| ~ spl5_14
| ~ spl5_458 ),
inference(trivial_inequality_removal,[],[f33218]) ).
fof(f33218,plain,
( sK0 != sK0
| ~ spl5_14
| ~ spl5_458 ),
inference(superposition,[],[f333,f33201]) ).
fof(f33201,plain,
( sK0 = vplus(sK0,vd411)
| ~ spl5_458 ),
inference(avatar_component_clause,[],[f33199]) ).
fof(f33199,plain,
( spl5_458
<=> sK0 = vplus(sK0,vd411) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_458])]) ).
fof(f333,plain,
( ! [X2,X1] : vplus(X1,X2) != X1
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl5_14
<=> ! [X2,X1] : vplus(X1,X2) != X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f33446,plain,
( ~ spl5_121
| ~ spl5_458 ),
inference(avatar_contradiction_clause,[],[f33445]) ).
fof(f33445,plain,
( $false
| ~ spl5_121
| ~ spl5_458 ),
inference(trivial_inequality_removal,[],[f33262]) ).
fof(f33262,plain,
( ! [X0] : vplus(X0,sK0) != vplus(X0,sK0)
| ~ spl5_121
| ~ spl5_458 ),
inference(superposition,[],[f1955,f33201]) ).
fof(f33205,plain,
( spl5_458
| spl5_459
| ~ spl5_13
| ~ spl5_24
| ~ spl5_83
| ~ spl5_164
| ~ spl5_195 ),
inference(avatar_split_clause,[],[f32243,f5778,f4211,f1238,f385,f328,f33203,f33199]) ).
fof(f33203,plain,
( spl5_459
<=> ! [X0] :
( sK0 = X0
| vplus(sK0,vplus(vd411,vskolem2(X0))) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_459])]) ).
fof(f4211,plain,
( spl5_164
<=> ! [X0,X1] :
( vplus(X1,vskolem2(X0)) != X0
| v1 = X1
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_164])]) ).
fof(f32243,plain,
( ! [X0] :
( sK0 = X0
| sK0 = vplus(sK0,vd411)
| vplus(sK0,vplus(vd411,vskolem2(X0))) != X0 )
| ~ spl5_13
| ~ spl5_24
| ~ spl5_83
| ~ spl5_164
| ~ spl5_195 ),
inference(forward_demodulation,[],[f32242,f5780]) ).
fof(f32242,plain,
( ! [X0] :
( sK0 = vplus(sK0,vd411)
| vplus(sK0,vplus(vd411,vskolem2(X0))) != X0
| v1 = X0 )
| ~ spl5_13
| ~ spl5_24
| ~ spl5_83
| ~ spl5_164
| ~ spl5_195 ),
inference(forward_demodulation,[],[f32241,f386]) ).
fof(f32241,plain,
( ! [X0] :
( sK0 = vplus(vd411,sK0)
| vplus(sK0,vplus(vd411,vskolem2(X0))) != X0
| v1 = X0 )
| ~ spl5_13
| ~ spl5_24
| ~ spl5_83
| ~ spl5_164
| ~ spl5_195 ),
inference(forward_demodulation,[],[f32240,f5780]) ).
fof(f32240,plain,
( ! [X0] :
( v1 = vplus(vd411,v1)
| vplus(sK0,vplus(vd411,vskolem2(X0))) != X0
| v1 = X0 )
| ~ spl5_13
| ~ spl5_24
| ~ spl5_83
| ~ spl5_164
| ~ spl5_195 ),
inference(forward_demodulation,[],[f32239,f31363]) ).
fof(f32239,plain,
( ! [X0] :
( vplus(sK0,vplus(vd411,vskolem2(X0))) != X0
| v1 = vmul(vplus(vd411,v1),sK0)
| v1 = X0 )
| ~ spl5_13
| ~ spl5_24
| ~ spl5_83
| ~ spl5_164
| ~ spl5_195 ),
inference(forward_demodulation,[],[f32238,f386]) ).
fof(f32238,plain,
( ! [X0] :
( vplus(sK0,vplus(vskolem2(X0),vd411)) != X0
| v1 = vmul(vplus(vd411,v1),sK0)
| v1 = X0 )
| ~ spl5_13
| ~ spl5_83
| ~ spl5_164
| ~ spl5_195 ),
inference(forward_demodulation,[],[f4323,f31363]) ).
fof(f4323,plain,
( ! [X0] :
( vplus(sK0,vplus(vskolem2(X0),vmul(vd411,sK0))) != X0
| v1 = vmul(vplus(vd411,v1),sK0)
| v1 = X0 )
| ~ spl5_83
| ~ spl5_164 ),
inference(superposition,[],[f4212,f1239]) ).
fof(f4212,plain,
( ! [X0,X1] :
( vplus(X1,vskolem2(X0)) != X0
| v1 = X1
| v1 = X0 )
| ~ spl5_164 ),
inference(avatar_component_clause,[],[f4211]) ).
fof(f32621,plain,
( spl5_457
| ~ spl5_13
| ~ spl5_24
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440
| ~ spl5_455 ),
inference(avatar_split_clause,[],[f32613,f32604,f26579,f5778,f2994,f608,f385,f328,f32619]) ).
fof(f32619,plain,
( spl5_457
<=> ! [X0] :
( ~ less(vplus(sK0,vd411),X0)
| leq(vplus(sK0,vplus(sK0,vd411)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_457])]) ).
fof(f26579,plain,
( spl5_440
<=> ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(sK0,vplus(vmul(vd411,sK0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_440])]) ).
fof(f32604,plain,
( spl5_455
<=> ! [X0] :
( leq(vplus(sK0,vplus(v1,vmul(vd411,sK0))),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_455])]) ).
fof(f32613,plain,
( ! [X0] :
( ~ less(vplus(sK0,vd411),X0)
| leq(vplus(sK0,vplus(sK0,vd411)),X0) )
| ~ spl5_13
| ~ spl5_24
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440
| ~ spl5_455 ),
inference(forward_demodulation,[],[f32612,f386]) ).
fof(f32612,plain,
( ! [X0] :
( ~ less(vplus(vd411,sK0),X0)
| leq(vplus(sK0,vplus(sK0,vd411)),X0) )
| ~ spl5_13
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440
| ~ spl5_455 ),
inference(forward_demodulation,[],[f32611,f5780]) ).
fof(f32611,plain,
( ! [X0] :
( ~ less(vplus(vd411,v1),X0)
| leq(vplus(sK0,vplus(sK0,vd411)),X0) )
| ~ spl5_13
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440
| ~ spl5_455 ),
inference(forward_demodulation,[],[f32610,f31363]) ).
fof(f32610,plain,
( ! [X0] :
( leq(vplus(sK0,vplus(sK0,vd411)),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_13
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440
| ~ spl5_455 ),
inference(forward_demodulation,[],[f32609,f31864]) ).
fof(f31864,plain,
( ! [X0] : vplus(sK0,vplus(vd411,X0)) = vplus(sK0,vplus(X0,vd411))
| ~ spl5_13
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440 ),
inference(forward_demodulation,[],[f31863,f31363]) ).
fof(f31863,plain,
( ! [X0] : vplus(sK0,vplus(vmul(vd411,sK0),X0)) = vplus(sK0,vplus(X0,vd411))
| ~ spl5_13
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440 ),
inference(forward_demodulation,[],[f31862,f2995]) ).
fof(f31862,plain,
( ! [X0] : vplus(sK0,vplus(vmul(vd411,sK0),X0)) = vplus(vd411,vplus(sK0,X0))
| ~ spl5_13
| ~ spl5_49
| ~ spl5_195
| ~ spl5_440 ),
inference(forward_demodulation,[],[f31861,f609]) ).
fof(f31861,plain,
( ! [X0] : vplus(sK0,vplus(vmul(vd411,sK0),X0)) = vplus(vplus(vd411,sK0),X0)
| ~ spl5_13
| ~ spl5_195
| ~ spl5_440 ),
inference(forward_demodulation,[],[f31572,f31363]) ).
fof(f31572,plain,
( ! [X0] : vplus(sK0,vplus(vmul(vd411,sK0),X0)) = vplus(vmul(vplus(vd411,sK0),sK0),X0)
| ~ spl5_195
| ~ spl5_440 ),
inference(superposition,[],[f26580,f5780]) ).
fof(f26580,plain,
( ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(sK0,vplus(vmul(vd411,sK0),X0))
| ~ spl5_440 ),
inference(avatar_component_clause,[],[f26579]) ).
fof(f32609,plain,
( ! [X0] :
( leq(vplus(sK0,vplus(vd411,sK0)),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_13
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440
| ~ spl5_455 ),
inference(forward_demodulation,[],[f32608,f5780]) ).
fof(f32608,plain,
( ! [X0] :
( leq(vplus(sK0,vplus(vd411,v1)),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_13
| ~ spl5_49
| ~ spl5_152
| ~ spl5_195
| ~ spl5_440
| ~ spl5_455 ),
inference(forward_demodulation,[],[f32607,f31864]) ).
fof(f32607,plain,
( ! [X0] :
( leq(vplus(sK0,vplus(v1,vd411)),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_13
| ~ spl5_195
| ~ spl5_455 ),
inference(forward_demodulation,[],[f32605,f31363]) ).
fof(f32605,plain,
( ! [X0] :
( leq(vplus(sK0,vplus(v1,vmul(vd411,sK0))),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_455 ),
inference(avatar_component_clause,[],[f32604]) ).
fof(f32617,plain,
( spl5_456
| ~ spl5_3
| ~ spl5_195 ),
inference(avatar_split_clause,[],[f31360,f5778,f284,f32615]) ).
fof(f284,plain,
( spl5_3
<=> ! [X0] : geq(X0,v1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f31360,plain,
( ! [X0] : geq(X0,sK0)
| ~ spl5_3
| ~ spl5_195 ),
inference(superposition,[],[f285,f5780]) ).
fof(f285,plain,
( ! [X0] : geq(X0,v1)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f32606,plain,
( spl5_455
| ~ spl5_83
| ~ spl5_117 ),
inference(avatar_split_clause,[],[f1937,f1858,f1238,f32604]) ).
fof(f1858,plain,
( spl5_117
<=> ! [X0,X1] :
( ~ less(X0,X1)
| leq(vplus(X0,v1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_117])]) ).
fof(f1937,plain,
( ! [X0] :
( leq(vplus(sK0,vplus(v1,vmul(vd411,sK0))),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_83
| ~ spl5_117 ),
inference(superposition,[],[f1859,f1239]) ).
fof(f1859,plain,
( ! [X0,X1] :
( leq(vplus(X0,v1),X1)
| ~ less(X0,X1) )
| ~ spl5_117 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f32600,plain,
( spl5_454
| ~ spl5_196
| ~ spl5_2
| ~ spl5_116 ),
inference(avatar_split_clause,[],[f1922,f1854,f279,f5782,f32597]) ).
fof(f1854,plain,
( spl5_116
<=> ! [X0,X1] :
( v1 != vplus(X0,X1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_116])]) ).
fof(f1922,plain,
( v1 != vmul(vplus(vd411,v1),sK0)
| v1 = vmul(vd411,sK0)
| ~ spl5_2
| ~ spl5_116 ),
inference(superposition,[],[f1855,f281]) ).
fof(f1855,plain,
( ! [X0,X1] :
( v1 != vplus(X0,X1)
| v1 = X0 )
| ~ spl5_116 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f32066,plain,
( ~ spl5_195
| ~ spl5_196
| ~ spl5_363 ),
inference(avatar_contradiction_clause,[],[f32065]) ).
fof(f32065,plain,
( $false
| ~ spl5_195
| ~ spl5_196
| ~ spl5_363 ),
inference(trivial_inequality_removal,[],[f32064]) ).
fof(f32064,plain,
( ! [X0] : vplus(X0,sK0) != vplus(X0,sK0)
| ~ spl5_195
| ~ spl5_196
| ~ spl5_363 ),
inference(forward_demodulation,[],[f31922,f5780]) ).
fof(f31922,plain,
( ! [X0] : vplus(X0,v1) != vplus(X0,sK0)
| ~ spl5_196
| ~ spl5_363 ),
inference(superposition,[],[f23890,f5783]) ).
fof(f5783,plain,
( v1 = vmul(vplus(vd411,v1),sK0)
| ~ spl5_196 ),
inference(avatar_component_clause,[],[f5782]) ).
fof(f23890,plain,
( ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X0,sK0)
| ~ spl5_363 ),
inference(avatar_component_clause,[],[f23889]) ).
fof(f23889,plain,
( spl5_363
<=> ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_363])]) ).
fof(f31359,plain,
( spl5_196
| spl5_453
| ~ spl5_83
| ~ spl5_116 ),
inference(avatar_split_clause,[],[f1924,f1854,f1238,f31357,f5782]) ).
fof(f31357,plain,
( spl5_453
<=> ! [X0] : v1 != vplus(sK0,vplus(X0,vmul(vd411,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_453])]) ).
fof(f1924,plain,
( ! [X0] :
( v1 != vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| v1 = vmul(vplus(vd411,v1),sK0) )
| ~ spl5_83
| ~ spl5_116 ),
inference(superposition,[],[f1855,f1239]) ).
fof(f31355,plain,
( spl5_452
| ~ spl5_83
| ~ spl5_115 ),
inference(avatar_split_clause,[],[f1911,f1850,f1238,f31353]) ).
fof(f31353,plain,
( spl5_452
<=> ! [X0,X1] :
( less(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_452])]) ).
fof(f1850,plain,
( spl5_115
<=> ! [X2,X0,X1] :
( ~ less(X0,X1)
| less(X0,vplus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_115])]) ).
fof(f1911,plain,
( ! [X0,X1] :
( less(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ less(X1,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_115 ),
inference(superposition,[],[f1851,f1239]) ).
fof(f1851,plain,
( ! [X2,X0,X1] :
( less(X0,vplus(X1,X2))
| ~ less(X0,X1) )
| ~ spl5_115 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f31351,plain,
( spl5_451
| ~ spl5_83
| ~ spl5_112 ),
inference(avatar_split_clause,[],[f1869,f1836,f1238,f31349]) ).
fof(f31349,plain,
( spl5_451
<=> ! [X0] :
( leq(vplus(sK0,vplus(v1,vmul(vd411,sK0))),X0)
| ~ greater(X0,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_451])]) ).
fof(f1836,plain,
( spl5_112
<=> ! [X0,X1] :
( ~ greater(X0,X1)
| leq(vplus(X1,v1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
fof(f1869,plain,
( ! [X0] :
( leq(vplus(sK0,vplus(v1,vmul(vd411,sK0))),X0)
| ~ greater(X0,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_83
| ~ spl5_112 ),
inference(superposition,[],[f1837,f1239]) ).
fof(f1837,plain,
( ! [X0,X1] :
( leq(vplus(X1,v1),X0)
| ~ greater(X0,X1) )
| ~ spl5_112 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f31347,plain,
( spl5_450
| ~ spl5_26
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1283,f1238,f412,f31345]) ).
fof(f31345,plain,
( spl5_450
<=> ! [X0] :
( geq(X0,vplus(sK0,vplus(v1,vmul(vd411,sK0))))
| ~ greater(X0,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_450])]) ).
fof(f412,plain,
( spl5_26
<=> ! [X0,X1] :
( geq(X0,vplus(X1,v1))
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f1283,plain,
( ! [X0] :
( geq(X0,vplus(sK0,vplus(v1,vmul(vd411,sK0))))
| ~ greater(X0,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_26
| ~ spl5_83 ),
inference(superposition,[],[f413,f1239]) ).
fof(f413,plain,
( ! [X0,X1] :
( geq(X0,vplus(X1,v1))
| ~ greater(X0,X1) )
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f31343,plain,
( spl5_449
| ~ spl5_27
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1282,f1238,f416,f31341]) ).
fof(f31341,plain,
( spl5_449
<=> ! [X0] :
( ~ less(X0,vplus(sK0,vplus(v1,vmul(vd411,sK0))))
| leq(X0,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_449])]) ).
fof(f416,plain,
( spl5_27
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,vplus(X1,v1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f1282,plain,
( ! [X0] :
( ~ less(X0,vplus(sK0,vplus(v1,vmul(vd411,sK0))))
| leq(X0,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_27
| ~ spl5_83 ),
inference(superposition,[],[f417,f1239]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ less(X0,vplus(X1,v1))
| leq(X0,X1) )
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f31250,plain,
( spl5_448
| ~ spl5_96
| ~ spl5_439 ),
inference(avatar_split_clause,[],[f26609,f26339,f1534,f31248]) ).
fof(f31248,plain,
( spl5_448
<=> ! [X0] : ~ greater(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_448])]) ).
fof(f1534,plain,
( spl5_96
<=> ! [X0,X1] : less(X0,vplus(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_96])]) ).
fof(f26339,plain,
( spl5_439
<=> ! [X0] :
( ~ greater(sK0,X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_439])]) ).
fof(f26609,plain,
( ! [X0] : ~ greater(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_96
| ~ spl5_439 ),
inference(resolution,[],[f26340,f1535]) ).
fof(f1535,plain,
( ! [X0,X1] : less(X0,vplus(X1,X0))
| ~ spl5_96 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f26340,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),X0)
| ~ greater(sK0,X0) )
| ~ spl5_439 ),
inference(avatar_component_clause,[],[f26339]) ).
fof(f26638,plain,
( spl5_447
| ~ spl5_2
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f3791,f2998,f279,f26636]) ).
fof(f26636,plain,
( spl5_447
<=> ! [X0,X1] : vplus(X0,vmul(vd411,sK0)) != vplus(vplus(X0,vmul(vplus(vd411,v1),sK0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_447])]) ).
fof(f2998,plain,
( spl5_153
<=> ! [X0,X3,X2,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_153])]) ).
fof(f3791,plain,
( ! [X0,X1] : vplus(X0,vmul(vd411,sK0)) != vplus(vplus(X0,vmul(vplus(vd411,v1),sK0)),X1)
| ~ spl5_2
| ~ spl5_153 ),
inference(superposition,[],[f2999,f281]) ).
fof(f2999,plain,
( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3)
| ~ spl5_153 ),
inference(avatar_component_clause,[],[f2998]) ).
fof(f26634,plain,
( spl5_446
| ~ spl5_66
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f3484,f2994,f1022,f26632]) ).
fof(f26632,plain,
( spl5_446
<=> ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(sK0,vplus(vmul(vd411,sK0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_446])]) ).
fof(f3484,plain,
( ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(sK0,vplus(vmul(vd411,sK0),X0))
| ~ spl5_66
| ~ spl5_152 ),
inference(superposition,[],[f2995,f1024]) ).
fof(f26630,plain,
( spl5_445
| ~ spl5_2
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f3478,f2994,f279,f26628]) ).
fof(f26628,plain,
( spl5_445
<=> ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(vmul(vd411,sK0),vplus(sK0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_445])]) ).
fof(f3478,plain,
( ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(vmul(vd411,sK0),vplus(sK0,X0))
| ~ spl5_2
| ~ spl5_152 ),
inference(superposition,[],[f2995,f281]) ).
fof(f26597,plain,
( spl5_444
| ~ spl5_66
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f3460,f2994,f1022,f26595]) ).
fof(f26595,plain,
( spl5_444
<=> ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(vmul(vd411,sK0),vplus(X0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_444])]) ).
fof(f3460,plain,
( ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(vmul(vd411,sK0),vplus(X0,sK0))
| ~ spl5_66
| ~ spl5_152 ),
inference(superposition,[],[f2995,f1024]) ).
fof(f26593,plain,
( spl5_443
| ~ spl5_83
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1715,f1653,f1238,f26591]) ).
fof(f26591,plain,
( spl5_443
<=> ! [X0,X1] : vmul(vplus(vd411,v1),sK0) != vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_443])]) ).
fof(f1653,plain,
( spl5_103
<=> ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_103])]) ).
fof(f1715,plain,
( ! [X0,X1] : vmul(vplus(vd411,v1),sK0) != vplus(X1,vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ spl5_83
| ~ spl5_103 ),
inference(superposition,[],[f1654,f1239]) ).
fof(f1654,plain,
( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0
| ~ spl5_103 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f26589,plain,
( spl5_442
| ~ spl5_25
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1255,f1238,f389,f26587]) ).
fof(f26587,plain,
( spl5_442
<=> ! [X0,X1] : vmul(vplus(vd411,v1),sK0) != vplus(vplus(sK0,vplus(X0,vmul(vd411,sK0))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_442])]) ).
fof(f389,plain,
( spl5_25
<=> ! [X2,X0,X3] : vplus(vplus(X0,X2),X3) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f1255,plain,
( ! [X0,X1] : vmul(vplus(vd411,v1),sK0) != vplus(vplus(sK0,vplus(X0,vmul(vd411,sK0))),X1)
| ~ spl5_25
| ~ spl5_83 ),
inference(superposition,[],[f390,f1239]) ).
fof(f390,plain,
( ! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f26585,plain,
( spl5_441
| ~ spl5_24
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1242,f1238,f385,f26583]) ).
fof(f26583,plain,
( spl5_441
<=> ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(sK0,vplus(X0,vmul(vd411,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_441])]) ).
fof(f1242,plain,
( ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) = vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| ~ spl5_24
| ~ spl5_83 ),
inference(superposition,[],[f1239,f386]) ).
fof(f26581,plain,
( spl5_440
| ~ spl5_49
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1056,f1022,f608,f26579]) ).
fof(f1056,plain,
( ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(sK0,vplus(vmul(vd411,sK0),X0))
| ~ spl5_49
| ~ spl5_66 ),
inference(superposition,[],[f609,f1024]) ).
fof(f26341,plain,
( spl5_439
| ~ spl5_115
| ~ spl5_428 ),
inference(avatar_split_clause,[],[f26239,f25054,f1850,f26339]) ).
fof(f25054,plain,
( spl5_428
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_428])]) ).
fof(f26239,plain,
( ! [X0] :
( ~ greater(sK0,X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_115
| ~ spl5_428 ),
inference(resolution,[],[f25055,f1851]) ).
fof(f25055,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(sK0,X0) )
| ~ spl5_428 ),
inference(avatar_component_clause,[],[f25054]) ).
fof(f25666,plain,
( ~ spl5_438
| ~ spl5_93
| ~ spl5_407 ),
inference(avatar_split_clause,[],[f25546,f24947,f1522,f25663]) ).
fof(f25663,plain,
( spl5_438
<=> greater(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_438])]) ).
fof(f1522,plain,
( spl5_93
<=> ! [X0,X1] : ~ less(vplus(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f24947,plain,
( spl5_407
<=> ! [X0] :
( ~ greater(vmul(vd411,sK0),X0)
| less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_407])]) ).
fof(f25546,plain,
( ~ greater(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0))
| ~ spl5_93
| ~ spl5_407 ),
inference(resolution,[],[f24948,f1523]) ).
fof(f1523,plain,
( ! [X0,X1] : ~ less(vplus(X0,X1),X0)
| ~ spl5_93 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f24948,plain,
( ! [X0] :
( less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| ~ greater(vmul(vd411,sK0),X0) )
| ~ spl5_407 ),
inference(avatar_component_clause,[],[f24947]) ).
fof(f25364,plain,
( spl5_437
| ~ spl5_17
| ~ spl5_240 ),
inference(avatar_split_clause,[],[f24990,f8321,f348,f25362]) ).
fof(f25362,plain,
( spl5_437
<=> ! [X0] :
( ~ less(X0,sK0)
| geq(vmul(vplus(vd411,v1),sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_437])]) ).
fof(f8321,plain,
( spl5_240
<=> ! [X0] :
( ~ less(X0,sK0)
| leq(X0,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_240])]) ).
fof(f24990,plain,
( ! [X0] :
( ~ less(X0,sK0)
| geq(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_17
| ~ spl5_240 ),
inference(resolution,[],[f8322,f349]) ).
fof(f8322,plain,
( ! [X0] :
( leq(X0,vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) )
| ~ spl5_240 ),
inference(avatar_component_clause,[],[f8321]) ).
fof(f25110,plain,
( spl5_436
| ~ spl5_17
| ~ spl5_239 ),
inference(avatar_split_clause,[],[f23915,f7599,f348,f25108]) ).
fof(f25108,plain,
( spl5_436
<=> ! [X0] :
( ~ leq(X0,sK0)
| geq(vmul(vplus(vd411,v1),sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_436])]) ).
fof(f7599,plain,
( spl5_239
<=> ! [X0] :
( ~ leq(X0,sK0)
| leq(X0,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_239])]) ).
fof(f23915,plain,
( ! [X0] :
( ~ leq(X0,sK0)
| geq(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_17
| ~ spl5_239 ),
inference(resolution,[],[f7600,f349]) ).
fof(f7600,plain,
( ! [X0] :
( leq(X0,vmul(vplus(vd411,v1),sK0))
| ~ leq(X0,sK0) )
| ~ spl5_239 ),
inference(avatar_component_clause,[],[f7599]) ).
fof(f25084,plain,
( spl5_435
| ~ spl5_66
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f2965,f2484,f1022,f25082]) ).
fof(f25082,plain,
( spl5_435
<=> ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_435])]) ).
fof(f2965,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_147 ),
inference(superposition,[],[f2485,f1024]) ).
fof(f25080,plain,
( spl5_434
| ~ spl5_66
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f2939,f2480,f1022,f25078]) ).
fof(f25078,plain,
( spl5_434
<=> ! [X0] :
( ~ greater(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_434])]) ).
fof(f2939,plain,
( ! [X0] :
( ~ greater(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_146 ),
inference(superposition,[],[f2481,f1024]) ).
fof(f25076,plain,
( spl5_433
| ~ spl5_66
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f2886,f2476,f1022,f25074]) ).
fof(f25074,plain,
( spl5_433
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_433])]) ).
fof(f2886,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| less(sK0,X0) )
| ~ spl5_66
| ~ spl5_145 ),
inference(superposition,[],[f2477,f1024]) ).
fof(f25072,plain,
( spl5_432
| ~ spl5_66
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f2860,f2472,f1022,f25070]) ).
fof(f25070,plain,
( spl5_432
<=> ! [X0] :
( ~ less(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_432])]) ).
fof(f2860,plain,
( ! [X0] :
( ~ less(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| less(X0,sK0) )
| ~ spl5_66
| ~ spl5_144 ),
inference(superposition,[],[f2473,f1024]) ).
fof(f25068,plain,
( spl5_431
| ~ spl5_66
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f2804,f2468,f1022,f25066]) ).
fof(f25066,plain,
( spl5_431
<=> ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_431])]) ).
fof(f2804,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_143 ),
inference(superposition,[],[f2469,f1024]) ).
fof(f25064,plain,
( spl5_430
| ~ spl5_66
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f2782,f2464,f1022,f25062]) ).
fof(f25062,plain,
( spl5_430
<=> ! [X0] :
( greater(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_430])]) ).
fof(f2782,plain,
( ! [X0] :
( greater(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_142 ),
inference(superposition,[],[f2465,f1024]) ).
fof(f25060,plain,
( spl5_429
| ~ spl5_66
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f2750,f2460,f1022,f25058]) ).
fof(f25058,plain,
( spl5_429
<=> ! [X0] :
( ~ less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_429])]) ).
fof(f2750,plain,
( ! [X0] :
( ~ less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_141 ),
inference(superposition,[],[f2461,f1024]) ).
fof(f25056,plain,
( spl5_428
| ~ spl5_66
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f2737,f2460,f1022,f25054]) ).
fof(f2737,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_141 ),
inference(superposition,[],[f2461,f1024]) ).
fof(f25052,plain,
( spl5_427
| ~ spl5_66
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f2714,f2456,f1022,f25050]) ).
fof(f25050,plain,
( spl5_427
<=> ! [X0] :
( less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_427])]) ).
fof(f2714,plain,
( ! [X0] :
( less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_140 ),
inference(superposition,[],[f2457,f1024]) ).
fof(f25030,plain,
( spl5_426
| ~ spl5_66
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f2701,f2456,f1022,f25028]) ).
fof(f25028,plain,
( spl5_426
<=> ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_426])]) ).
fof(f2701,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_140 ),
inference(superposition,[],[f2457,f1024]) ).
fof(f25026,plain,
( spl5_425
| ~ spl5_66
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f2679,f2452,f1022,f25024]) ).
fof(f25024,plain,
( spl5_425
<=> ! [X0] :
( geq(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_425])]) ).
fof(f2679,plain,
( ! [X0] :
( geq(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) )
| ~ spl5_66
| ~ spl5_139 ),
inference(superposition,[],[f2453,f1024]) ).
fof(f25022,plain,
( spl5_424
| ~ spl5_66
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f2666,f2452,f1022,f25020]) ).
fof(f25020,plain,
( spl5_424
<=> ! [X0] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_424])]) ).
fof(f2666,plain,
( ! [X0] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(sK0,X0) )
| ~ spl5_66
| ~ spl5_139 ),
inference(superposition,[],[f2453,f1024]) ).
fof(f25018,plain,
( spl5_423
| ~ spl5_66
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f2635,f2448,f1022,f25016]) ).
fof(f25016,plain,
( spl5_423
<=> ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| ~ less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_423])]) ).
fof(f2635,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(vmul(vd411,sK0),X0))
| ~ less(sK0,X0) )
| ~ spl5_66
| ~ spl5_138 ),
inference(superposition,[],[f2449,f1024]) ).
fof(f25014,plain,
( spl5_422
| ~ spl5_66
| ~ spl5_136 ),
inference(avatar_split_clause,[],[f2610,f2439,f1022,f25012]) ).
fof(f25012,plain,
( spl5_422
<=> ! [X0] :
( less(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_422])]) ).
fof(f2610,plain,
( ! [X0] :
( less(vplus(vmul(vd411,sK0),X0),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) )
| ~ spl5_66
| ~ spl5_136 ),
inference(superposition,[],[f2440,f1024]) ).
fof(f25010,plain,
( spl5_421
| ~ spl5_66
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f2575,f2435,f1022,f25008]) ).
fof(f25008,plain,
( spl5_421
<=> ! [X0] :
( greater(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_421])]) ).
fof(f2575,plain,
( ! [X0] :
( greater(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(sK0,X0) )
| ~ spl5_66
| ~ spl5_135 ),
inference(superposition,[],[f2436,f1024]) ).
fof(f25006,plain,
( spl5_420
| ~ spl5_66
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f2562,f2435,f1022,f25004]) ).
fof(f25004,plain,
( spl5_420
<=> ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_420])]) ).
fof(f2562,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ less(X0,sK0) )
| ~ spl5_66
| ~ spl5_135 ),
inference(superposition,[],[f2436,f1024]) ).
fof(f25002,plain,
( spl5_419
| ~ spl5_66
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f2543,f2431,f1022,f25000]) ).
fof(f25000,plain,
( spl5_419
<=> ! [X0] :
( leq(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_419])]) ).
fof(f2543,plain,
( ! [X0] :
( leq(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) )
| ~ spl5_66
| ~ spl5_134 ),
inference(superposition,[],[f2432,f1024]) ).
fof(f24998,plain,
( spl5_418
| ~ spl5_66
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f2530,f2431,f1022,f24996]) ).
fof(f24996,plain,
( spl5_418
<=> ! [X0] :
( leq(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_418])]) ).
fof(f2530,plain,
( ! [X0] :
( leq(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ less(sK0,X0) )
| ~ spl5_66
| ~ spl5_134 ),
inference(superposition,[],[f2432,f1024]) ).
fof(f24994,plain,
( spl5_417
| ~ spl5_24
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f1227,f1139,f385,f24992]) ).
fof(f24992,plain,
( spl5_417
<=> ! [X0] :
( ~ greater(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| greater(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_417])]) ).
fof(f1227,plain,
( ! [X0] :
( ~ greater(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| greater(X0,vmul(vd411,sK0)) )
| ~ spl5_24
| ~ spl5_80 ),
inference(superposition,[],[f1140,f386]) ).
fof(f24985,plain,
( spl5_416
| ~ spl5_24
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1219,f1135,f385,f24983]) ).
fof(f24983,plain,
( spl5_416
<=> ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| greater(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_416])]) ).
fof(f1219,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| greater(vmul(vd411,sK0),X0) )
| ~ spl5_24
| ~ spl5_79 ),
inference(superposition,[],[f1136,f386]) ).
fof(f24981,plain,
( spl5_415
| ~ spl5_24
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f1212,f1131,f385,f24979]) ).
fof(f24979,plain,
( spl5_415
<=> ! [X0] :
( ~ less(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| less(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_415])]) ).
fof(f1212,plain,
( ! [X0] :
( ~ less(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| less(X0,vmul(vd411,sK0)) )
| ~ spl5_24
| ~ spl5_78 ),
inference(superposition,[],[f1132,f386]) ).
fof(f24977,plain,
( spl5_414
| ~ spl5_24
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f1206,f1127,f385,f24975]) ).
fof(f24975,plain,
( spl5_414
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| less(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_414])]) ).
fof(f1206,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| less(vmul(vd411,sK0),X0) )
| ~ spl5_24
| ~ spl5_77 ),
inference(superposition,[],[f1128,f386]) ).
fof(f24973,plain,
( spl5_413
| ~ spl5_24
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f1186,f1114,f385,f24971]) ).
fof(f24971,plain,
( spl5_413
<=> ! [X0] :
( greater(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_413])]) ).
fof(f1186,plain,
( ! [X0] :
( greater(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0)) )
| ~ spl5_24
| ~ spl5_74 ),
inference(superposition,[],[f1115,f386]) ).
fof(f24969,plain,
( spl5_412
| ~ spl5_16
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f1185,f1114,f344,f24967]) ).
fof(f24967,plain,
( spl5_412
<=> ! [X0] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_412])]) ).
fof(f1185,plain,
( ! [X0] :
( ~ greater(X0,vmul(vd411,sK0))
| ~ less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_16
| ~ spl5_74 ),
inference(resolution,[],[f1115,f345]) ).
fof(f24965,plain,
( spl5_411
| ~ spl5_20
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f1184,f1114,f360,f24963]) ).
fof(f24963,plain,
( spl5_411
<=> ! [X0] :
( ~ greater(X0,vmul(vd411,sK0))
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_411])]) ).
fof(f1184,plain,
( ! [X0] :
( ~ greater(X0,vmul(vd411,sK0))
| less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) )
| ~ spl5_20
| ~ spl5_74 ),
inference(resolution,[],[f1115,f361]) ).
fof(f24961,plain,
( spl5_410
| ~ spl5_23
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f1183,f1114,f373,f24959]) ).
fof(f24959,plain,
( spl5_410
<=> ! [X0] :
( ~ greater(X0,vmul(vd411,sK0))
| geq(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_410])]) ).
fof(f1183,plain,
( ! [X0] :
( ~ greater(X0,vmul(vd411,sK0))
| geq(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_23
| ~ spl5_74 ),
inference(resolution,[],[f1115,f374]) ).
fof(f24957,plain,
( spl5_409
| ~ spl5_24
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1176,f1110,f385,f24955]) ).
fof(f24955,plain,
( spl5_409
<=> ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| ~ greater(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_409])]) ).
fof(f1176,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| ~ greater(vmul(vd411,sK0),X0) )
| ~ spl5_24
| ~ spl5_73 ),
inference(superposition,[],[f1111,f386]) ).
fof(f24953,plain,
( spl5_408
| ~ spl5_16
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1175,f1110,f344,f24951]) ).
fof(f24951,plain,
( spl5_408
<=> ! [X0] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_408])]) ).
fof(f1175,plain,
( ! [X0] :
( ~ greater(vmul(vd411,sK0),X0)
| ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) )
| ~ spl5_16
| ~ spl5_73 ),
inference(resolution,[],[f1111,f345]) ).
fof(f24949,plain,
( spl5_407
| ~ spl5_20
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1174,f1110,f360,f24947]) ).
fof(f1174,plain,
( ! [X0] :
( ~ greater(vmul(vd411,sK0),X0)
| less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_20
| ~ spl5_73 ),
inference(resolution,[],[f1111,f361]) ).
fof(f24942,plain,
( spl5_406
| ~ spl5_23
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1173,f1110,f373,f24940]) ).
fof(f24940,plain,
( spl5_406
<=> ! [X0] :
( ~ greater(vmul(vd411,sK0),X0)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_406])]) ).
fof(f1173,plain,
( ! [X0] :
( ~ greater(vmul(vd411,sK0),X0)
| geq(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) )
| ~ spl5_23
| ~ spl5_73 ),
inference(resolution,[],[f1111,f374]) ).
fof(f24938,plain,
( spl5_405
| ~ spl5_24
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1166,f1106,f385,f24936]) ).
fof(f24936,plain,
( spl5_405
<=> ! [X0] :
( less(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,vmul(vd411,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_405])]) ).
fof(f1166,plain,
( ! [X0] :
( less(vplus(sK0,X0),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,vmul(vd411,sK0)) )
| ~ spl5_24
| ~ spl5_72 ),
inference(superposition,[],[f1107,f386]) ).
fof(f24934,plain,
( spl5_404
| ~ spl5_19
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1165,f1106,f356,f24932]) ).
fof(f24932,plain,
( spl5_404
<=> ! [X0] :
( ~ less(X0,vmul(vd411,sK0))
| greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_404])]) ).
fof(f1165,plain,
( ! [X0] :
( ~ less(X0,vmul(vd411,sK0))
| greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) )
| ~ spl5_19
| ~ spl5_72 ),
inference(resolution,[],[f1107,f357]) ).
fof(f24930,plain,
( spl5_403
| ~ spl5_21
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1164,f1106,f364,f24928]) ).
fof(f24928,plain,
( spl5_403
<=> ! [X0] :
( ~ less(X0,vmul(vd411,sK0))
| leq(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_403])]) ).
fof(f1164,plain,
( ! [X0] :
( ~ less(X0,vmul(vd411,sK0))
| leq(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_21
| ~ spl5_72 ),
inference(resolution,[],[f1107,f365]) ).
fof(f24926,plain,
( spl5_402
| ~ spl5_24
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1154,f1102,f385,f24924]) ).
fof(f24924,plain,
( spl5_402
<=> ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| ~ less(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_402])]) ).
fof(f1154,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(sK0,X0))
| ~ less(vmul(vd411,sK0),X0) )
| ~ spl5_24
| ~ spl5_71 ),
inference(superposition,[],[f1103,f386]) ).
fof(f24922,plain,
( spl5_401
| ~ spl5_19
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1153,f1102,f356,f24920]) ).
fof(f24920,plain,
( spl5_401
<=> ! [X0] :
( ~ less(vmul(vd411,sK0),X0)
| greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_401])]) ).
fof(f1153,plain,
( ! [X0] :
( ~ less(vmul(vd411,sK0),X0)
| greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_19
| ~ spl5_71 ),
inference(resolution,[],[f1103,f357]) ).
fof(f24918,plain,
( spl5_400
| ~ spl5_21
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1152,f1102,f364,f24916]) ).
fof(f24916,plain,
( spl5_400
<=> ! [X0] :
( ~ less(vmul(vd411,sK0),X0)
| leq(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_400])]) ).
fof(f1152,plain,
( ! [X0] :
( ~ less(vmul(vd411,sK0),X0)
| leq(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0)) )
| ~ spl5_21
| ~ spl5_71 ),
inference(resolution,[],[f1103,f365]) ).
fof(f24914,plain,
( spl5_398
| ~ spl5_399
| ~ spl5_24
| ~ spl5_51
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1149,f1098,f616,f385,f24911,f24907]) ).
fof(f24911,plain,
( spl5_399
<=> vmul(vplus(vd411,v1),sK0) = vmul(vd411,vplus(sK0,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_399])]) ).
fof(f1149,plain,
( vmul(vplus(vd411,v1),sK0) != vmul(vd411,vplus(sK0,v1))
| vd411 = sK0
| ~ spl5_24
| ~ spl5_51
| ~ spl5_70 ),
inference(forward_demodulation,[],[f1143,f386]) ).
fof(f1143,plain,
( vmul(vd411,vplus(v1,sK0)) != vmul(vplus(vd411,v1),sK0)
| vd411 = sK0
| ~ spl5_51
| ~ spl5_70 ),
inference(superposition,[],[f1099,f617]) ).
fof(f24905,plain,
( spl5_396
| ~ spl5_397
| ~ spl5_184
| ~ spl5_364 ),
inference(avatar_split_clause,[],[f24023,f23893,f4552,f24902,f24899]) ).
fof(f24899,plain,
( spl5_396
<=> ! [X0] : ~ geq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_396])]) ).
fof(f24902,plain,
( spl5_397
<=> greater(sK0,vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_397])]) ).
fof(f23893,plain,
( spl5_364
<=> ! [X0] : less(vplus(X0,sK0),vplus(X0,vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_364])]) ).
fof(f24023,plain,
( ! [X0] :
( ~ greater(sK0,vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,X0) )
| ~ spl5_184
| ~ spl5_364 ),
inference(resolution,[],[f23894,f4553]) ).
fof(f23894,plain,
( ! [X0] : less(vplus(X0,sK0),vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_364 ),
inference(avatar_component_clause,[],[f23893]) ).
fof(f24897,plain,
( spl5_395
| ~ spl5_48
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1055,f1022,f529,f24895]) ).
fof(f24895,plain,
( spl5_395
<=> ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_395])]) ).
fof(f1055,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| greater(sK0,X0) )
| ~ spl5_48
| ~ spl5_66 ),
inference(superposition,[],[f530,f1024]) ).
fof(f24893,plain,
( spl5_394
| ~ spl5_48
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1054,f1022,f529,f24891]) ).
fof(f24891,plain,
( spl5_394
<=> ! [X0] :
( ~ greater(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_394])]) ).
fof(f1054,plain,
( ! [X0] :
( ~ greater(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| greater(X0,sK0) )
| ~ spl5_48
| ~ spl5_66 ),
inference(superposition,[],[f530,f1024]) ).
fof(f24889,plain,
( spl5_393
| ~ spl5_47
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1053,f1022,f525,f24887]) ).
fof(f24887,plain,
( spl5_393
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_393])]) ).
fof(f1053,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| less(sK0,X0) )
| ~ spl5_47
| ~ spl5_66 ),
inference(superposition,[],[f526,f1024]) ).
fof(f24885,plain,
( spl5_392
| ~ spl5_47
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1052,f1022,f525,f24883]) ).
fof(f24883,plain,
( spl5_392
<=> ! [X0] :
( ~ less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_392])]) ).
fof(f1052,plain,
( ! [X0] :
( ~ less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| less(X0,sK0) )
| ~ spl5_47
| ~ spl5_66 ),
inference(superposition,[],[f526,f1024]) ).
fof(f24881,plain,
( spl5_391
| ~ spl5_45
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1050,f1022,f516,f24879]) ).
fof(f24879,plain,
( spl5_391
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,vmul(vd411,sK0))
| sK0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_391])]) ).
fof(f1050,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,vmul(vd411,sK0))
| sK0 = X0 )
| ~ spl5_45
| ~ spl5_66 ),
inference(superposition,[],[f517,f1024]) ).
fof(f24877,plain,
( spl5_390
| ~ spl5_44
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1049,f1022,f512,f24875]) ).
fof(f24875,plain,
( spl5_390
<=> ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_390])]) ).
fof(f1049,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ greater(sK0,X0) )
| ~ spl5_44
| ~ spl5_66 ),
inference(superposition,[],[f513,f1024]) ).
fof(f24873,plain,
( spl5_389
| ~ spl5_44
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1048,f1022,f512,f24871]) ).
fof(f24871,plain,
( spl5_389
<=> ! [X0] :
( greater(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_389])]) ).
fof(f1048,plain,
( ! [X0] :
( greater(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,sK0) )
| ~ spl5_44
| ~ spl5_66 ),
inference(superposition,[],[f513,f1024]) ).
fof(f24869,plain,
( spl5_388
| ~ spl5_43
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1047,f1022,f508,f24867]) ).
fof(f24867,plain,
( spl5_388
<=> ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ less(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_388])]) ).
fof(f1047,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,vmul(vd411,sK0)))
| ~ less(sK0,X0) )
| ~ spl5_43
| ~ spl5_66 ),
inference(superposition,[],[f509,f1024]) ).
fof(f24865,plain,
( spl5_387
| ~ spl5_43
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1046,f1022,f508,f24863]) ).
fof(f24863,plain,
( spl5_387
<=> ! [X0] :
( less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_387])]) ).
fof(f1046,plain,
( ! [X0] :
( less(vplus(X0,vmul(vd411,sK0)),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) )
| ~ spl5_43
| ~ spl5_66 ),
inference(superposition,[],[f509,f1024]) ).
fof(f24861,plain,
( spl5_386
| ~ spl5_40
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1044,f1022,f496,f24859]) ).
fof(f24859,plain,
( spl5_386
<=> ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(sK0,X0)
| vmul(vd411,sK0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_386])]) ).
fof(f1044,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(sK0,X0)
| vmul(vd411,sK0) = X0 )
| ~ spl5_40
| ~ spl5_66 ),
inference(superposition,[],[f497,f1024]) ).
fof(f24370,plain,
( spl5_385
| ~ spl5_17
| ~ spl5_369 ),
inference(avatar_split_clause,[],[f24208,f24160,f348,f24367]) ).
fof(f24367,plain,
( spl5_385
<=> geq(vmul(vplus(vd411,v1),sK0),vplus(sK0,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_385])]) ).
fof(f24160,plain,
( spl5_369
<=> leq(vplus(sK0,v1),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_369])]) ).
fof(f24208,plain,
( geq(vmul(vplus(vd411,v1),sK0),vplus(sK0,v1))
| ~ spl5_17
| ~ spl5_369 ),
inference(resolution,[],[f24162,f349]) ).
fof(f24162,plain,
( leq(vplus(sK0,v1),vmul(vplus(vd411,v1),sK0))
| ~ spl5_369 ),
inference(avatar_component_clause,[],[f24160]) ).
fof(f24228,plain,
( spl5_384
| ~ spl5_24
| ~ spl5_68
| ~ spl5_245 ),
inference(avatar_split_clause,[],[f11280,f8778,f1032,f385,f24226]) ).
fof(f24226,plain,
( spl5_384
<=> ! [X0] : vmul(vd411,sK0) != vplus(vmul(vplus(vd411,v1),vplus(sK0,v1)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_384])]) ).
fof(f1032,plain,
( spl5_68
<=> ! [X0] : vmul(vd411,sK0) != vplus(vmul(vplus(vd411,v1),sK0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f8778,plain,
( spl5_245
<=> ! [X2,X0,X1] : vplus(vmul(X0,vplus(v1,X1)),X2) = vplus(vmul(X0,X1),vplus(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_245])]) ).
fof(f11280,plain,
( ! [X0] : vmul(vd411,sK0) != vplus(vmul(vplus(vd411,v1),vplus(sK0,v1)),X0)
| ~ spl5_24
| ~ spl5_68
| ~ spl5_245 ),
inference(forward_demodulation,[],[f10832,f386]) ).
fof(f10832,plain,
( ! [X0] : vmul(vd411,sK0) != vplus(vmul(vplus(vd411,v1),vplus(v1,sK0)),X0)
| ~ spl5_68
| ~ spl5_245 ),
inference(superposition,[],[f1033,f8779]) ).
fof(f8779,plain,
( ! [X2,X0,X1] : vplus(vmul(X0,vplus(v1,X1)),X2) = vplus(vmul(X0,X1),vplus(X0,X2))
| ~ spl5_245 ),
inference(avatar_component_clause,[],[f8778]) ).
fof(f1033,plain,
( ! [X0] : vmul(vd411,sK0) != vplus(vmul(vplus(vd411,v1),sK0),X0)
| ~ spl5_68 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f24224,plain,
( spl5_383
| ~ spl5_68
| ~ spl5_156 ),
inference(avatar_split_clause,[],[f4113,f3010,f1032,f24222]) ).
fof(f24222,plain,
( spl5_383
<=> ! [X0] : vmul(vd411,sK0) != vmul(vmul(vplus(vd411,v1),sK0),vplus(v1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_383])]) ).
fof(f3010,plain,
( spl5_156
<=> ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(X0,vmul(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_156])]) ).
fof(f4113,plain,
( ! [X0] : vmul(vd411,sK0) != vmul(vmul(vplus(vd411,v1),sK0),vplus(v1,X0))
| ~ spl5_68
| ~ spl5_156 ),
inference(superposition,[],[f1033,f3011]) ).
fof(f3011,plain,
( ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(X0,vmul(X0,X1))
| ~ spl5_156 ),
inference(avatar_component_clause,[],[f3010]) ).
fof(f24220,plain,
( spl5_382
| ~ spl5_66
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f3797,f2998,f1022,f24218]) ).
fof(f24218,plain,
( spl5_382
<=> ! [X0,X1] : vplus(X0,sK0) != vplus(vplus(X0,vmul(vplus(vd411,v1),sK0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_382])]) ).
fof(f3797,plain,
( ! [X0,X1] : vplus(X0,sK0) != vplus(vplus(X0,vmul(vplus(vd411,v1),sK0)),X1)
| ~ spl5_66
| ~ spl5_153 ),
inference(superposition,[],[f2999,f1024]) ).
fof(f24216,plain,
( spl5_381
| ~ spl5_68
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f3709,f2994,f1032,f24214]) ).
fof(f24214,plain,
( spl5_381
<=> ! [X0,X1] : vmul(vd411,sK0) != vplus(X0,vplus(X1,vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_381])]) ).
fof(f3709,plain,
( ! [X0,X1] : vmul(vd411,sK0) != vplus(X0,vplus(X1,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_68
| ~ spl5_152 ),
inference(superposition,[],[f1033,f2995]) ).
fof(f24212,plain,
( spl5_380
| ~ spl5_2
| ~ spl5_122 ),
inference(avatar_split_clause,[],[f2130,f1958,f279,f24210]) ).
fof(f24210,plain,
( spl5_380
<=> ! [X0] : less(vplus(X0,vmul(vd411,sK0)),vplus(X0,vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_380])]) ).
fof(f2130,plain,
( ! [X0] : less(vplus(X0,vmul(vd411,sK0)),vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_2
| ~ spl5_122 ),
inference(superposition,[],[f1959,f281]) ).
fof(f24203,plain,
( spl5_379
| ~ spl5_66
| ~ spl5_122 ),
inference(avatar_split_clause,[],[f2124,f1958,f1022,f24201]) ).
fof(f24201,plain,
( spl5_379
<=> ! [X0] : less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(vmul(vd411,sK0),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_379])]) ).
fof(f2124,plain,
( ! [X0] : less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(vmul(vd411,sK0),X0)))
| ~ spl5_66
| ~ spl5_122 ),
inference(superposition,[],[f1959,f1024]) ).
fof(f24199,plain,
( spl5_378
| ~ spl5_2
| ~ spl5_121 ),
inference(avatar_split_clause,[],[f2091,f1954,f279,f24197]) ).
fof(f24197,plain,
( spl5_378
<=> ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X0,vmul(vd411,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_378])]) ).
fof(f2091,plain,
( ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X0,vmul(vd411,sK0))
| ~ spl5_2
| ~ spl5_121 ),
inference(superposition,[],[f1955,f281]) ).
fof(f24195,plain,
( spl5_377
| ~ spl5_66
| ~ spl5_120 ),
inference(avatar_split_clause,[],[f2073,f1950,f1022,f24193]) ).
fof(f24193,plain,
( spl5_377
<=> ! [X0] : greater(vplus(sK0,vplus(vmul(vd411,sK0),X0)),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_377])]) ).
fof(f2073,plain,
( ! [X0] : greater(vplus(sK0,vplus(vmul(vd411,sK0),X0)),vmul(vplus(vd411,v1),sK0))
| ~ spl5_66
| ~ spl5_120 ),
inference(superposition,[],[f1951,f1024]) ).
fof(f24191,plain,
( spl5_376
| ~ spl5_2
| ~ spl5_120 ),
inference(avatar_split_clause,[],[f2048,f1950,f279,f24189]) ).
fof(f24189,plain,
( spl5_376
<=> ! [X0] : greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X0,vmul(vd411,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_376])]) ).
fof(f2048,plain,
( ! [X0] : greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X0,vmul(vd411,sK0)))
| ~ spl5_2
| ~ spl5_120 ),
inference(superposition,[],[f1951,f281]) ).
fof(f24187,plain,
( spl5_375
| ~ spl5_83
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f1586,f1530,f1238,f24185]) ).
fof(f24185,plain,
( spl5_375
<=> ! [X0] : geq(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_375])]) ).
fof(f1530,plain,
( spl5_95
<=> ! [X0,X1] : geq(vplus(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f1586,plain,
( ! [X0] : geq(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| ~ spl5_83
| ~ spl5_95 ),
inference(superposition,[],[f1531,f1239]) ).
fof(f1531,plain,
( ! [X0,X1] : geq(vplus(X0,X1),X0)
| ~ spl5_95 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f24183,plain,
( spl5_374
| ~ spl5_83
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f1572,f1526,f1238,f24181]) ).
fof(f24181,plain,
( spl5_374
<=> ! [X0] : leq(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,vmul(vd411,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_374])]) ).
fof(f1526,plain,
( spl5_94
<=> ! [X0,X1] : leq(X0,vplus(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
fof(f1572,plain,
( ! [X0] : leq(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ spl5_83
| ~ spl5_94 ),
inference(superposition,[],[f1527,f1239]) ).
fof(f1527,plain,
( ! [X0,X1] : leq(X0,vplus(X0,X1))
| ~ spl5_94 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f24179,plain,
( spl5_373
| ~ spl5_83
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1555,f1522,f1238,f24177]) ).
fof(f24177,plain,
( spl5_373
<=> ! [X0] : ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_373])]) ).
fof(f1555,plain,
( ! [X0] : ~ less(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| ~ spl5_83
| ~ spl5_93 ),
inference(superposition,[],[f1523,f1239]) ).
fof(f24175,plain,
( spl5_372
| ~ spl5_15
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1252,f1238,f336,f24173]) ).
fof(f24173,plain,
( spl5_372
<=> ! [X0] : less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,vmul(vd411,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_372])]) ).
fof(f336,plain,
( spl5_15
<=> ! [X2,X1] : less(X1,vplus(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f1252,plain,
( ! [X0] : less(vmul(vplus(vd411,v1),sK0),vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ spl5_15
| ~ spl5_83 ),
inference(superposition,[],[f337,f1239]) ).
fof(f337,plain,
( ! [X2,X1] : less(X1,vplus(X1,X2))
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f24171,plain,
( spl5_371
| ~ spl5_14
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1251,f1238,f332,f24169]) ).
fof(f24169,plain,
( spl5_371
<=> ! [X0] : vmul(vplus(vd411,v1),sK0) != vplus(sK0,vplus(X0,vmul(vd411,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_371])]) ).
fof(f1251,plain,
( ! [X0] : vmul(vplus(vd411,v1),sK0) != vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| ~ spl5_14
| ~ spl5_83 ),
inference(superposition,[],[f333,f1239]) ).
fof(f24167,plain,
( spl5_370
| ~ spl5_12
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f1250,f1238,f324,f24165]) ).
fof(f24165,plain,
( spl5_370
<=> ! [X0] : greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_370])]) ).
fof(f324,plain,
( spl5_12
<=> ! [X0,X1] : greater(vplus(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f1250,plain,
( ! [X0] : greater(vplus(sK0,vplus(X0,vmul(vd411,sK0))),vmul(vplus(vd411,v1),sK0))
| ~ spl5_12
| ~ spl5_83 ),
inference(superposition,[],[f325,f1239]) ).
fof(f325,plain,
( ! [X0,X1] : greater(vplus(X0,X1),X0)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f24163,plain,
( spl5_369
| ~ spl5_24
| ~ spl5_114
| ~ spl5_364 ),
inference(avatar_split_clause,[],[f24056,f23893,f1846,f385,f24160]) ).
fof(f1846,plain,
( spl5_114
<=> ! [X0,X1] :
( ~ less(X1,vplus(v1,X0))
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_114])]) ).
fof(f24056,plain,
( leq(vplus(sK0,v1),vmul(vplus(vd411,v1),sK0))
| ~ spl5_24
| ~ spl5_114
| ~ spl5_364 ),
inference(forward_demodulation,[],[f24027,f386]) ).
fof(f24027,plain,
( leq(vplus(v1,sK0),vmul(vplus(vd411,v1),sK0))
| ~ spl5_114
| ~ spl5_364 ),
inference(resolution,[],[f23894,f1847]) ).
fof(f1847,plain,
( ! [X0,X1] :
( ~ less(X1,vplus(v1,X0))
| leq(X1,X0) )
| ~ spl5_114 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f24122,plain,
( spl5_368
| ~ spl5_77
| ~ spl5_115 ),
inference(avatar_split_clause,[],[f1903,f1850,f1127,f24120]) ).
fof(f24120,plain,
( spl5_368
<=> ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),X0)
| less(vmul(vd411,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_368])]) ).
fof(f1903,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),X0)
| less(vmul(vd411,sK0),X0) )
| ~ spl5_77
| ~ spl5_115 ),
inference(resolution,[],[f1851,f1128]) ).
fof(f24112,plain,
( ~ spl5_366
| spl5_367
| ~ spl5_71
| ~ spl5_114 ),
inference(avatar_split_clause,[],[f1886,f1846,f1102,f24109,f24105]) ).
fof(f24109,plain,
( spl5_367
<=> leq(vmul(vplus(vd411,v1),sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_367])]) ).
fof(f1886,plain,
( leq(vmul(vplus(vd411,v1),sK0),sK0)
| ~ less(vmul(vd411,sK0),v1)
| ~ spl5_71
| ~ spl5_114 ),
inference(resolution,[],[f1847,f1103]) ).
fof(f24103,plain,
( spl5_365
| ~ spl5_33
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f955,f520,f447,f24101]) ).
fof(f24101,plain,
( spl5_365
<=> ! [X0] :
( ~ less(X0,vmul(vd411,sK0))
| less(X0,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_365])]) ).
fof(f955,plain,
( ! [X0] :
( ~ less(X0,vmul(vd411,sK0))
| less(X0,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_33
| ~ spl5_46 ),
inference(resolution,[],[f522,f448]) ).
fof(f23895,plain,
( spl5_364
| ~ spl5_66
| ~ spl5_122 ),
inference(avatar_split_clause,[],[f2136,f1958,f1022,f23893]) ).
fof(f2136,plain,
( ! [X0] : less(vplus(X0,sK0),vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_66
| ~ spl5_122 ),
inference(superposition,[],[f1959,f1024]) ).
fof(f23891,plain,
( spl5_363
| ~ spl5_66
| ~ spl5_121 ),
inference(avatar_split_clause,[],[f2097,f1954,f1022,f23889]) ).
fof(f2097,plain,
( ! [X0] : vplus(X0,vmul(vplus(vd411,v1),sK0)) != vplus(X0,sK0)
| ~ spl5_66
| ~ spl5_121 ),
inference(superposition,[],[f1955,f1024]) ).
fof(f23887,plain,
( spl5_362
| ~ spl5_66
| ~ spl5_120 ),
inference(avatar_split_clause,[],[f2054,f1950,f1022,f23885]) ).
fof(f23885,plain,
( spl5_362
<=> ! [X0] : greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_362])]) ).
fof(f2054,plain,
( ! [X0] : greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),vplus(X0,sK0))
| ~ spl5_66
| ~ spl5_120 ),
inference(superposition,[],[f1951,f1024]) ).
fof(f23883,plain,
( ~ spl5_361
| ~ spl5_24
| ~ spl5_51
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1086,f1032,f616,f385,f23880]) ).
fof(f23880,plain,
( spl5_361
<=> vmul(vd411,sK0) = vmul(vplus(vd411,v1),vplus(sK0,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_361])]) ).
fof(f1086,plain,
( vmul(vd411,sK0) != vmul(vplus(vd411,v1),vplus(sK0,v1))
| ~ spl5_24
| ~ spl5_51
| ~ spl5_68 ),
inference(forward_demodulation,[],[f1080,f386]) ).
fof(f1080,plain,
( vmul(vd411,sK0) != vmul(vplus(vd411,v1),vplus(v1,sK0))
| ~ spl5_51
| ~ spl5_68 ),
inference(superposition,[],[f1033,f617]) ).
fof(f23878,plain,
( spl5_360
| ~ spl5_24
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f1081,f1032,f385,f23876]) ).
fof(f23876,plain,
( spl5_360
<=> ! [X0] : vmul(vd411,sK0) != vplus(X0,vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_360])]) ).
fof(f1081,plain,
( ! [X0] : vmul(vd411,sK0) != vplus(X0,vmul(vplus(vd411,v1),sK0))
| ~ spl5_24
| ~ spl5_68 ),
inference(superposition,[],[f1033,f386]) ).
fof(f23873,plain,
( spl5_359
| ~ spl5_24
| ~ spl5_49
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1020,f987,f608,f385,f23871]) ).
fof(f23871,plain,
( spl5_359
<=> ! [X0,X1] :
( vplus(vmul(vd411,vplus(X0,X1)),vplus(vd411,vplus(v1,vplus(X0,X1)))) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_359])]) ).
fof(f1020,plain,
( ! [X0,X1] :
( vplus(vmul(vd411,vplus(X0,X1)),vplus(vd411,vplus(v1,vplus(X0,X1)))) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_65 ),
inference(forward_demodulation,[],[f1013,f386]) ).
fof(f1013,plain,
( ! [X0,X1] :
( vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1))
| vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1)))) = vplus(vmul(vd411,vplus(X0,X1)),vplus(vd411,vplus(vplus(X0,X1),v1))) )
| ~ spl5_49
| ~ spl5_65 ),
inference(superposition,[],[f988,f609]) ).
fof(f23725,plain,
( spl5_358
| ~ spl5_51
| ~ spl5_152
| ~ spl5_357 ),
inference(avatar_split_clause,[],[f23715,f23712,f2994,f616,f23723]) ).
fof(f23723,plain,
( spl5_358
<=> ! [X0,X1] :
( vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) = vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1)))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_358])]) ).
fof(f23712,plain,
( spl5_357
<=> ! [X0,X1] :
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1)))) = vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1)))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_357])]) ).
fof(f23715,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) = vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1)))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_51
| ~ spl5_152
| ~ spl5_357 ),
inference(forward_demodulation,[],[f23713,f3489]) ).
fof(f3489,plain,
( ! [X2,X0,X1] : vmul(vplus(X0,X1),vplus(v1,X2)) = vplus(X0,vplus(X1,vmul(vplus(X0,X1),X2)))
| ~ spl5_51
| ~ spl5_152 ),
inference(superposition,[],[f2995,f617]) ).
fof(f23713,plain,
( ! [X0,X1] :
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1)))) = vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1)))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_357 ),
inference(avatar_component_clause,[],[f23712]) ).
fof(f23714,plain,
( spl5_357
| ~ spl5_24
| ~ spl5_49
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1011,f983,f608,f385,f23712]) ).
fof(f983,plain,
( spl5_64
<=> ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(X0,vplus(vd411,vplus(v1,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
fof(f1011,plain,
( ! [X0,X1] :
( vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1)))) = vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1)))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_64 ),
inference(inner_rewriting,[],[f1010]) ).
fof(f1010,plain,
( ! [X0,X1] :
( vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1))))) = vplus(vd411,vplus(v1,vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1))))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_64 ),
inference(forward_demodulation,[],[f1009,f609]) ).
fof(f1009,plain,
( ! [X0,X1] :
( vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1))))) = vplus(vd411,vplus(v1,vplus(vplus(X0,X1),vmul(vd411,vplus(X0,X1)))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_64 ),
inference(forward_demodulation,[],[f1008,f386]) ).
fof(f1008,plain,
( ! [X0,X1] :
( vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1))))) = vplus(vd411,vplus(v1,vplus(vmul(vd411,vplus(X0,X1)),vplus(X0,X1))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_64 ),
inference(forward_demodulation,[],[f1007,f624]) ).
fof(f1007,plain,
( ! [X0,X1] :
( vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1))))) = vplus(vd411,vplus(vmul(vd411,vplus(X0,X1)),vplus(vplus(X0,X1),v1)))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_64 ),
inference(forward_demodulation,[],[f1006,f386]) ).
fof(f1006,plain,
( ! [X0,X1] :
( vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1))))) = vplus(vd411,vplus(vplus(vplus(X0,X1),v1),vmul(vd411,vplus(X0,X1))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_64 ),
inference(forward_demodulation,[],[f1001,f624]) ).
fof(f1001,plain,
( ! [X0,X1] :
( vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1))
| vplus(vplus(X0,X1),vplus(vd411,vplus(v1,vmul(vd411,vplus(X0,X1))))) = vplus(vmul(vd411,vplus(X0,X1)),vplus(vd411,vplus(vplus(X0,X1),v1))) )
| ~ spl5_49
| ~ spl5_64 ),
inference(superposition,[],[f984,f609]) ).
fof(f984,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(X0,vplus(vd411,vplus(v1,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) )
| ~ spl5_64 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f23566,plain,
( spl5_356
| ~ spl5_51
| ~ spl5_152
| ~ spl5_355 ),
inference(avatar_split_clause,[],[f23562,f23559,f2994,f616,f23564]) ).
fof(f23564,plain,
( spl5_356
<=> ! [X0,X1] :
( vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) = vplus(vmul(vd411,vplus(v1,vplus(X0,X1))),vplus(v1,vplus(X0,X1)))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_356])]) ).
fof(f23559,plain,
( spl5_355
<=> ! [X0,X1] :
( vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1))
| vplus(vmul(vd411,vplus(v1,vplus(X0,X1))),vplus(v1,vplus(X0,X1))) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_355])]) ).
fof(f23562,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) = vplus(vmul(vd411,vplus(v1,vplus(X0,X1))),vplus(v1,vplus(X0,X1)))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_51
| ~ spl5_152
| ~ spl5_355 ),
inference(forward_demodulation,[],[f23560,f3489]) ).
fof(f23560,plain,
( ! [X0,X1] :
( vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1))
| vplus(vmul(vd411,vplus(v1,vplus(X0,X1))),vplus(v1,vplus(X0,X1))) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1)))) )
| ~ spl5_355 ),
inference(avatar_component_clause,[],[f23559]) ).
fof(f23561,plain,
( spl5_355
| ~ spl5_49
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f991,f979,f608,f23559]) ).
fof(f991,plain,
( ! [X0,X1] :
( vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1))
| vplus(vmul(vd411,vplus(v1,vplus(X0,X1))),vplus(v1,vplus(X0,X1))) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),vplus(X0,X1)))) )
| ~ spl5_49
| ~ spl5_63 ),
inference(superposition,[],[f980,f609]) ).
fof(f23411,plain,
( spl5_354
| ~ spl5_24
| ~ spl5_49
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f977,f967,f608,f385,f23409]) ).
fof(f23409,plain,
( spl5_354
<=> ! [X0,X1] :
( vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) = vplus(vmul(vd411,vplus(X0,X1)),vplus(vd411,vplus(v1,vplus(X0,X1))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_354])]) ).
fof(f977,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) = vplus(vmul(vd411,vplus(X0,X1)),vplus(vd411,vplus(v1,vplus(X0,X1))))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_62 ),
inference(forward_demodulation,[],[f976,f624]) ).
fof(f976,plain,
( ! [X0,X1] :
( vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) = vplus(vmul(vd411,vplus(X0,X1)),vplus(v1,vplus(vplus(X0,X1),vd411)))
| vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1)) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_62 ),
inference(forward_demodulation,[],[f971,f624]) ).
fof(f971,plain,
( ! [X0,X1] :
( vplus(X0,vplus(X1,vmul(vd411,vplus(X0,X1)))) != vmul(vplus(vd411,v1),vplus(X0,X1))
| vplus(vmul(vd411,vplus(X0,X1)),vplus(vplus(X0,X1),vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,vplus(X0,X1))) )
| ~ spl5_49
| ~ spl5_62 ),
inference(superposition,[],[f968,f609]) ).
fof(f21465,plain,
( spl5_353
| ~ spl5_49
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f847,f843,f608,f21463]) ).
fof(f21463,plain,
( spl5_353
<=> ! [X2,X0,X1] :
( vplus(X0,vplus(X1,sK1(vplus(X0,X1),X2))) = X2
| vplus(X0,X1) = vplus(X2,sK2(vplus(X0,X1),X2))
| vplus(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_353])]) ).
fof(f843,plain,
( spl5_56
<=> ! [X0,X1] :
( vplus(X0,sK1(X0,X1)) = X1
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( vplus(X0,vplus(X1,sK1(vplus(X0,X1),X2))) = X2
| vplus(X0,X1) = vplus(X2,sK2(vplus(X0,X1),X2))
| vplus(X0,X1) = X2 )
| ~ spl5_49
| ~ spl5_56 ),
inference(superposition,[],[f844,f609]) ).
fof(f844,plain,
( ! [X0,X1] :
( vplus(X1,sK2(X0,X1)) = X0
| vplus(X0,sK1(X0,X1)) = X1
| X0 = X1 )
| ~ spl5_56 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f21461,plain,
( spl5_352
| ~ spl5_49
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f846,f843,f608,f21459]) ).
fof(f21459,plain,
( spl5_352
<=> ! [X2,X0,X1] :
( vplus(X0,vplus(X1,sK2(X2,vplus(X0,X1)))) = X2
| vplus(X0,X1) = vplus(X2,sK1(X2,vplus(X0,X1)))
| vplus(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_352])]) ).
fof(f846,plain,
( ! [X2,X0,X1] :
( vplus(X0,vplus(X1,sK2(X2,vplus(X0,X1)))) = X2
| vplus(X0,X1) = vplus(X2,sK1(X2,vplus(X0,X1)))
| vplus(X0,X1) = X2 )
| ~ spl5_49
| ~ spl5_56 ),
inference(superposition,[],[f844,f609]) ).
fof(f21304,plain,
( spl5_351
| ~ spl5_55
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f904,f843,f752,f21302]) ).
fof(f21302,plain,
( spl5_351
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ geq(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_351])]) ).
fof(f904,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ geq(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_55
| ~ spl5_56 ),
inference(superposition,[],[f753,f844]) ).
fof(f21300,plain,
( spl5_350
| ~ spl5_55
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f903,f843,f752,f21298]) ).
fof(f21298,plain,
( spl5_350
<=> ! [X0,X3,X2,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ geq(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_350])]) ).
fof(f903,plain,
( ! [X2,X3,X0,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ geq(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_55
| ~ spl5_56 ),
inference(superposition,[],[f753,f844]) ).
fof(f21296,plain,
( spl5_349
| ~ spl5_54
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f902,f843,f748,f21294]) ).
fof(f21294,plain,
( spl5_349
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ greater(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_349])]) ).
fof(f902,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ greater(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_54
| ~ spl5_56 ),
inference(superposition,[],[f749,f844]) ).
fof(f21292,plain,
( spl5_348
| ~ spl5_54
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f901,f843,f748,f21290]) ).
fof(f21290,plain,
( spl5_348
<=> ! [X0,X3,X2,X1] :
( greater(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_348])]) ).
fof(f901,plain,
( ! [X2,X3,X0,X1] :
( greater(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_54
| ~ spl5_56 ),
inference(superposition,[],[f749,f844]) ).
fof(f21263,plain,
( spl5_347
| ~ spl5_53
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f900,f843,f744,f21261]) ).
fof(f21261,plain,
( spl5_347
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ greater(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_347])]) ).
fof(f900,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ greater(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_53
| ~ spl5_56 ),
inference(superposition,[],[f745,f844]) ).
fof(f21259,plain,
( spl5_346
| ~ spl5_53
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f899,f843,f744,f21257]) ).
fof(f21257,plain,
( spl5_346
<=> ! [X0,X3,X2,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_346])]) ).
fof(f899,plain,
( ! [X2,X3,X0,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_53
| ~ spl5_56 ),
inference(superposition,[],[f745,f844]) ).
fof(f21255,plain,
( spl5_345
| ~ spl5_52
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f898,f843,f740,f21253]) ).
fof(f21253,plain,
( spl5_345
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ geq(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_345])]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ geq(X3,sK1(X0,X1))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_52
| ~ spl5_56 ),
inference(superposition,[],[f741,f844]) ).
fof(f21251,plain,
( spl5_344
| ~ spl5_52
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f897,f843,f740,f21249]) ).
fof(f21249,plain,
( spl5_344
<=> ! [X0,X3,X2,X1] :
( geq(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_344])]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1] :
( geq(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(sK1(X0,X1),X3)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_52
| ~ spl5_56 ),
inference(superposition,[],[f741,f844]) ).
fof(f21247,plain,
( spl5_343
| ~ spl5_55
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f874,f843,f752,f21245]) ).
fof(f21245,plain,
( spl5_343
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ geq(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_343])]) ).
fof(f874,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ geq(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_55
| ~ spl5_56 ),
inference(superposition,[],[f753,f844]) ).
fof(f21243,plain,
( spl5_342
| ~ spl5_55
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f873,f843,f752,f21241]) ).
fof(f21241,plain,
( spl5_342
<=> ! [X0,X3,X2,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ geq(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_342])]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ geq(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_55
| ~ spl5_56 ),
inference(superposition,[],[f753,f844]) ).
fof(f21239,plain,
( spl5_341
| ~ spl5_54
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f872,f843,f748,f21237]) ).
fof(f21237,plain,
( spl5_341
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ greater(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_341])]) ).
fof(f872,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ greater(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_54
| ~ spl5_56 ),
inference(superposition,[],[f749,f844]) ).
fof(f21235,plain,
( spl5_340
| ~ spl5_54
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f871,f843,f748,f21233]) ).
fof(f21233,plain,
( spl5_340
<=> ! [X0,X3,X2,X1] :
( greater(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_340])]) ).
fof(f871,plain,
( ! [X2,X3,X0,X1] :
( greater(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_54
| ~ spl5_56 ),
inference(superposition,[],[f749,f844]) ).
fof(f21231,plain,
( spl5_339
| ~ spl5_53
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f870,f843,f744,f21229]) ).
fof(f21229,plain,
( spl5_339
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ greater(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_339])]) ).
fof(f870,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),X1)
| ~ greater(X2,X0)
| ~ greater(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_53
| ~ spl5_56 ),
inference(superposition,[],[f745,f844]) ).
fof(f21227,plain,
( spl5_338
| ~ spl5_53
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f869,f843,f744,f21225]) ).
fof(f21225,plain,
( spl5_338
<=> ! [X0,X3,X2,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_338])]) ).
fof(f869,plain,
( ! [X2,X3,X0,X1] :
( greater(X1,vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_53
| ~ spl5_56 ),
inference(superposition,[],[f745,f844]) ).
fof(f21223,plain,
( ~ spl5_337
| ~ spl5_16
| ~ spl5_297 ),
inference(avatar_split_clause,[],[f15480,f13971,f344,f21220]) ).
fof(f21220,plain,
( spl5_337
<=> less(vmul(vplus(vd411,v1),vplus(sK0,v1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_337])]) ).
fof(f13971,plain,
( spl5_297
<=> greater(vmul(vplus(vd411,v1),vplus(sK0,v1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_297])]) ).
fof(f15480,plain,
( ~ less(vmul(vplus(vd411,v1),vplus(sK0,v1)),sK0)
| ~ spl5_16
| ~ spl5_297 ),
inference(resolution,[],[f13973,f345]) ).
fof(f13973,plain,
( greater(vmul(vplus(vd411,v1),vplus(sK0,v1)),sK0)
| ~ spl5_297 ),
inference(avatar_component_clause,[],[f13971]) ).
fof(f21218,plain,
( spl5_336
| ~ spl5_52
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f868,f843,f740,f21216]) ).
fof(f21216,plain,
( spl5_336
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ geq(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_336])]) ).
fof(f868,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X2,X3),X1)
| ~ geq(X2,X0)
| ~ geq(X3,sK2(X1,X0))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_52
| ~ spl5_56 ),
inference(superposition,[],[f741,f844]) ).
fof(f21214,plain,
( spl5_335
| ~ spl5_52
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f867,f843,f740,f21212]) ).
fof(f21212,plain,
( spl5_335
<=> ! [X0,X3,X2,X1] :
( geq(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_335])]) ).
fof(f867,plain,
( ! [X2,X3,X0,X1] :
( geq(X1,vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(sK2(X1,X0),X3)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_52
| ~ spl5_56 ),
inference(superposition,[],[f741,f844]) ).
fof(f16462,plain,
( spl5_334
| ~ spl5_17
| ~ spl5_296 ),
inference(avatar_split_clause,[],[f15360,f13148,f348,f16459]) ).
fof(f16459,plain,
( spl5_334
<=> geq(vmul(vplus(vd411,v1),vplus(sK0,v1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_334])]) ).
fof(f13148,plain,
( spl5_296
<=> leq(sK0,vmul(vplus(vd411,v1),vplus(sK0,v1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_296])]) ).
fof(f15360,plain,
( geq(vmul(vplus(vd411,v1),vplus(sK0,v1)),sK0)
| ~ spl5_17
| ~ spl5_296 ),
inference(resolution,[],[f13150,f349]) ).
fof(f13150,plain,
( leq(sK0,vmul(vplus(vd411,v1),vplus(sK0,v1)))
| ~ spl5_296 ),
inference(avatar_component_clause,[],[f13148]) ).
fof(f16312,plain,
( spl5_333
| ~ spl5_50
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f907,f843,f612,f16310]) ).
fof(f16310,plain,
( spl5_333
<=> ! [X0,X1] :
( vplus(X1,X0) = vplus(v1,vplus(X1,sK1(v1,X0)))
| v1 = vplus(X0,sK2(v1,X0))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_333])]) ).
fof(f907,plain,
( ! [X0,X1] :
( vplus(X1,X0) = vplus(v1,vplus(X1,sK1(v1,X0)))
| v1 = vplus(X0,sK2(v1,X0))
| v1 = X0 )
| ~ spl5_50
| ~ spl5_56 ),
inference(superposition,[],[f613,f844]) ).
fof(f16308,plain,
( spl5_332
| ~ spl5_50
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f896,f843,f612,f16306]) ).
fof(f16306,plain,
( spl5_332
<=> ! [X0,X1] :
( vplus(v1,X1) = vplus(X0,vplus(v1,sK1(X0,X1)))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_332])]) ).
fof(f896,plain,
( ! [X0,X1] :
( vplus(v1,X1) = vplus(X0,vplus(v1,sK1(X0,X1)))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_50
| ~ spl5_56 ),
inference(superposition,[],[f613,f844]) ).
fof(f16304,plain,
( spl5_331
| ~ spl5_49
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f895,f843,f608,f16302]) ).
fof(f16302,plain,
( spl5_331
<=> ! [X2,X0,X1] :
( vplus(X1,X2) = vplus(X0,vplus(sK1(X0,X1),X2))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_331])]) ).
fof(f895,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) = vplus(X0,vplus(sK1(X0,X1),X2))
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_49
| ~ spl5_56 ),
inference(superposition,[],[f609,f844]) ).
fof(f16300,plain,
( spl5_330
| ~ spl5_50
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f877,f843,f612,f16298]) ).
fof(f16298,plain,
( spl5_330
<=> ! [X0,X1] :
( vplus(X1,X0) = vplus(v1,vplus(X1,sK2(X0,v1)))
| v1 = vplus(X0,sK1(X0,v1))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_330])]) ).
fof(f877,plain,
( ! [X0,X1] :
( vplus(X1,X0) = vplus(v1,vplus(X1,sK2(X0,v1)))
| v1 = vplus(X0,sK1(X0,v1))
| v1 = X0 )
| ~ spl5_50
| ~ spl5_56 ),
inference(superposition,[],[f613,f844]) ).
fof(f16296,plain,
( spl5_329
| ~ spl5_50
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f866,f843,f612,f16294]) ).
fof(f16294,plain,
( spl5_329
<=> ! [X0,X1] :
( vplus(v1,X1) = vplus(X0,vplus(v1,sK2(X1,X0)))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_329])]) ).
fof(f866,plain,
( ! [X0,X1] :
( vplus(v1,X1) = vplus(X0,vplus(v1,sK2(X1,X0)))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_50
| ~ spl5_56 ),
inference(superposition,[],[f613,f844]) ).
fof(f16292,plain,
( spl5_328
| ~ spl5_49
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f865,f843,f608,f16290]) ).
fof(f16290,plain,
( spl5_328
<=> ! [X2,X0,X1] :
( vplus(X1,X2) = vplus(X0,vplus(sK2(X1,X0),X2))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_328])]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) = vplus(X0,vplus(sK2(X1,X0),X2))
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_49
| ~ spl5_56 ),
inference(superposition,[],[f609,f844]) ).
fof(f16288,plain,
( spl5_327
| ~ spl5_42
| ~ spl5_49
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f841,f752,f608,f504,f16286]) ).
fof(f16286,plain,
( spl5_327
<=> ! [X0,X3,X2,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X3,sK4(vplus(X1,X3),vplus(X0,X2))))
| ~ greater(X0,X1)
| ~ geq(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_327])]) ).
fof(f841,plain,
( ! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X3,sK4(vplus(X1,X3),vplus(X0,X2))))
| ~ greater(X0,X1)
| ~ geq(X2,X3) )
| ~ spl5_42
| ~ spl5_49
| ~ spl5_55 ),
inference(forward_demodulation,[],[f821,f609]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| vplus(X0,X2) = vplus(vplus(X1,X3),sK4(vplus(X1,X3),vplus(X0,X2))) )
| ~ spl5_42
| ~ spl5_55 ),
inference(resolution,[],[f753,f505]) ).
fof(f16284,plain,
( spl5_326
| ~ spl5_42
| ~ spl5_49
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f818,f748,f608,f504,f16282]) ).
fof(f16282,plain,
( spl5_326
<=> ! [X0,X3,X2,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X3,sK4(vplus(X1,X3),vplus(X0,X2))))
| ~ geq(X0,X1)
| ~ greater(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_326])]) ).
fof(f818,plain,
( ! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X3,sK4(vplus(X1,X3),vplus(X0,X2))))
| ~ geq(X0,X1)
| ~ greater(X2,X3) )
| ~ spl5_42
| ~ spl5_49
| ~ spl5_54 ),
inference(forward_demodulation,[],[f798,f609]) ).
fof(f798,plain,
( ! [X2,X3,X0,X1] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| vplus(X0,X2) = vplus(vplus(X1,X3),sK4(vplus(X1,X3),vplus(X0,X2))) )
| ~ spl5_42
| ~ spl5_54 ),
inference(resolution,[],[f749,f505]) ).
fof(f16280,plain,
( spl5_325
| ~ spl5_42
| ~ spl5_49
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f795,f744,f608,f504,f16278]) ).
fof(f16278,plain,
( spl5_325
<=> ! [X0,X3,X2,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X3,sK4(vplus(X1,X3),vplus(X0,X2))))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_325])]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X3,sK4(vplus(X1,X3),vplus(X0,X2))))
| ~ greater(X0,X1)
| ~ greater(X2,X3) )
| ~ spl5_42
| ~ spl5_49
| ~ spl5_53 ),
inference(forward_demodulation,[],[f775,f609]) ).
fof(f775,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| vplus(X0,X2) = vplus(vplus(X1,X3),sK4(vplus(X1,X3),vplus(X0,X2))) )
| ~ spl5_42
| ~ spl5_53 ),
inference(resolution,[],[f745,f505]) ).
fof(f16276,plain,
( spl5_324
| ~ spl5_16
| ~ spl5_295 ),
inference(avatar_split_clause,[],[f15294,f12345,f344,f16274]) ).
fof(f16274,plain,
( spl5_324
<=> ! [X0] : ~ less(vplus(X0,vmul(vplus(vd411,v1),sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_324])]) ).
fof(f12345,plain,
( spl5_295
<=> ! [X0] : greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_295])]) ).
fof(f15294,plain,
( ! [X0] : ~ less(vplus(X0,vmul(vplus(vd411,v1),sK0)),sK0)
| ~ spl5_16
| ~ spl5_295 ),
inference(resolution,[],[f12346,f345]) ).
fof(f12346,plain,
( ! [X0] : greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),sK0)
| ~ spl5_295 ),
inference(avatar_component_clause,[],[f12345]) ).
fof(f15878,plain,
( spl5_323
| ~ spl5_17
| ~ spl5_287 ),
inference(avatar_split_clause,[],[f14857,f12112,f348,f15876]) ).
fof(f15876,plain,
( spl5_323
<=> ! [X0] : geq(vplus(X0,vmul(vplus(vd411,v1),sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_323])]) ).
fof(f12112,plain,
( spl5_287
<=> ! [X0] : leq(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_287])]) ).
fof(f14857,plain,
( ! [X0] : geq(vplus(X0,vmul(vplus(vd411,v1),sK0)),sK0)
| ~ spl5_17
| ~ spl5_287 ),
inference(resolution,[],[f12113,f349]) ).
fof(f12113,plain,
( ! [X0] : leq(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_287 ),
inference(avatar_component_clause,[],[f12112]) ).
fof(f15396,plain,
( spl5_322
| ~ spl5_48
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f894,f843,f529,f15394]) ).
fof(f15394,plain,
( spl5_322
<=> ! [X2,X0,X1] :
( ~ greater(X1,vplus(X2,sK1(X0,X1)))
| greater(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_322])]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( ~ greater(X1,vplus(X2,sK1(X0,X1)))
| greater(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_48
| ~ spl5_56 ),
inference(superposition,[],[f530,f844]) ).
fof(f15392,plain,
( spl5_321
| ~ spl5_48
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f893,f843,f529,f15390]) ).
fof(f15390,plain,
( spl5_321
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X2,sK1(X0,X1)),X1)
| greater(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_321])]) ).
fof(f893,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X2,sK1(X0,X1)),X1)
| greater(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_48
| ~ spl5_56 ),
inference(superposition,[],[f530,f844]) ).
fof(f15388,plain,
( spl5_320
| ~ spl5_47
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f892,f843,f525,f15386]) ).
fof(f15386,plain,
( spl5_320
<=> ! [X2,X0,X1] :
( ~ less(X1,vplus(X2,sK1(X0,X1)))
| less(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_320])]) ).
fof(f892,plain,
( ! [X2,X0,X1] :
( ~ less(X1,vplus(X2,sK1(X0,X1)))
| less(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_47
| ~ spl5_56 ),
inference(superposition,[],[f526,f844]) ).
fof(f15384,plain,
( spl5_319
| ~ spl5_47
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f891,f843,f525,f15382]) ).
fof(f15382,plain,
( spl5_319
<=> ! [X2,X0,X1] :
( ~ less(vplus(X2,sK1(X0,X1)),X1)
| less(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_319])]) ).
fof(f891,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X2,sK1(X0,X1)),X1)
| less(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_47
| ~ spl5_56 ),
inference(superposition,[],[f526,f844]) ).
fof(f15380,plain,
( spl5_318
| ~ spl5_45
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f889,f843,f516,f15378]) ).
fof(f15378,plain,
( spl5_318
<=> ! [X2,X0,X1] :
( vplus(X2,sK1(X0,X1)) != X1
| X0 = X2
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_318])]) ).
fof(f889,plain,
( ! [X2,X0,X1] :
( vplus(X2,sK1(X0,X1)) != X1
| X0 = X2
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_45
| ~ spl5_56 ),
inference(superposition,[],[f517,f844]) ).
fof(f15376,plain,
( spl5_317
| ~ spl5_44
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f888,f843,f512,f15374]) ).
fof(f15374,plain,
( spl5_317
<=> ! [X2,X0,X1] :
( greater(X1,vplus(X2,sK1(X0,X1)))
| ~ greater(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_317])]) ).
fof(f888,plain,
( ! [X2,X0,X1] :
( greater(X1,vplus(X2,sK1(X0,X1)))
| ~ greater(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_44
| ~ spl5_56 ),
inference(superposition,[],[f513,f844]) ).
fof(f15372,plain,
( spl5_316
| ~ spl5_44
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f887,f843,f512,f15370]) ).
fof(f15370,plain,
( spl5_316
<=> ! [X2,X0,X1] :
( greater(vplus(X2,sK1(X0,X1)),X1)
| ~ greater(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_316])]) ).
fof(f887,plain,
( ! [X2,X0,X1] :
( greater(vplus(X2,sK1(X0,X1)),X1)
| ~ greater(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_44
| ~ spl5_56 ),
inference(superposition,[],[f513,f844]) ).
fof(f15368,plain,
( spl5_315
| ~ spl5_43
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f886,f843,f508,f15366]) ).
fof(f15366,plain,
( spl5_315
<=> ! [X2,X0,X1] :
( less(X1,vplus(X2,sK1(X0,X1)))
| ~ less(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_315])]) ).
fof(f886,plain,
( ! [X2,X0,X1] :
( less(X1,vplus(X2,sK1(X0,X1)))
| ~ less(X0,X2)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_43
| ~ spl5_56 ),
inference(superposition,[],[f509,f844]) ).
fof(f15364,plain,
( spl5_314
| ~ spl5_43
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f885,f843,f508,f15362]) ).
fof(f15362,plain,
( spl5_314
<=> ! [X2,X0,X1] :
( less(vplus(X2,sK1(X0,X1)),X1)
| ~ less(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_314])]) ).
fof(f885,plain,
( ! [X2,X0,X1] :
( less(vplus(X2,sK1(X0,X1)),X1)
| ~ less(X2,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_43
| ~ spl5_56 ),
inference(superposition,[],[f509,f844]) ).
fof(f15355,plain,
( spl5_313
| ~ spl5_40
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f883,f843,f496,f15353]) ).
fof(f15353,plain,
( spl5_313
<=> ! [X2,X0,X1] :
( vplus(X0,X2) != X1
| sK1(X0,X1) = X2
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_313])]) ).
fof(f883,plain,
( ! [X2,X0,X1] :
( vplus(X0,X2) != X1
| sK1(X0,X1) = X2
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_40
| ~ spl5_56 ),
inference(superposition,[],[f497,f844]) ).
fof(f15351,plain,
( spl5_312
| ~ spl5_48
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f864,f843,f529,f15349]) ).
fof(f15349,plain,
( spl5_312
<=> ! [X2,X0,X1] :
( ~ greater(X1,vplus(X2,sK2(X1,X0)))
| greater(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_312])]) ).
fof(f864,plain,
( ! [X2,X0,X1] :
( ~ greater(X1,vplus(X2,sK2(X1,X0)))
| greater(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_48
| ~ spl5_56 ),
inference(superposition,[],[f530,f844]) ).
fof(f15347,plain,
( spl5_311
| ~ spl5_48
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f863,f843,f529,f15345]) ).
fof(f15345,plain,
( spl5_311
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X2,sK2(X1,X0)),X1)
| greater(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_311])]) ).
fof(f863,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X2,sK2(X1,X0)),X1)
| greater(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_48
| ~ spl5_56 ),
inference(superposition,[],[f530,f844]) ).
fof(f15343,plain,
( spl5_310
| ~ spl5_47
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f862,f843,f525,f15341]) ).
fof(f15341,plain,
( spl5_310
<=> ! [X2,X0,X1] :
( ~ less(X1,vplus(X2,sK2(X1,X0)))
| less(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_310])]) ).
fof(f862,plain,
( ! [X2,X0,X1] :
( ~ less(X1,vplus(X2,sK2(X1,X0)))
| less(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_47
| ~ spl5_56 ),
inference(superposition,[],[f526,f844]) ).
fof(f15339,plain,
( spl5_309
| ~ spl5_47
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f861,f843,f525,f15337]) ).
fof(f15337,plain,
( spl5_309
<=> ! [X2,X0,X1] :
( ~ less(vplus(X2,sK2(X1,X0)),X1)
| less(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_309])]) ).
fof(f861,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X2,sK2(X1,X0)),X1)
| less(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_47
| ~ spl5_56 ),
inference(superposition,[],[f526,f844]) ).
fof(f15335,plain,
( spl5_308
| ~ spl5_45
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f859,f843,f516,f15333]) ).
fof(f15333,plain,
( spl5_308
<=> ! [X2,X0,X1] :
( vplus(X2,sK2(X1,X0)) != X1
| X0 = X2
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_308])]) ).
fof(f859,plain,
( ! [X2,X0,X1] :
( vplus(X2,sK2(X1,X0)) != X1
| X0 = X2
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_45
| ~ spl5_56 ),
inference(superposition,[],[f517,f844]) ).
fof(f15331,plain,
( spl5_307
| ~ spl5_44
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f858,f843,f512,f15329]) ).
fof(f15329,plain,
( spl5_307
<=> ! [X2,X0,X1] :
( greater(X1,vplus(X2,sK2(X1,X0)))
| ~ greater(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_307])]) ).
fof(f858,plain,
( ! [X2,X0,X1] :
( greater(X1,vplus(X2,sK2(X1,X0)))
| ~ greater(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_44
| ~ spl5_56 ),
inference(superposition,[],[f513,f844]) ).
fof(f15327,plain,
( spl5_306
| ~ spl5_44
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f857,f843,f512,f15325]) ).
fof(f15325,plain,
( spl5_306
<=> ! [X2,X0,X1] :
( greater(vplus(X2,sK2(X1,X0)),X1)
| ~ greater(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_306])]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( greater(vplus(X2,sK2(X1,X0)),X1)
| ~ greater(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_44
| ~ spl5_56 ),
inference(superposition,[],[f513,f844]) ).
fof(f15323,plain,
( spl5_305
| ~ spl5_43
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f856,f843,f508,f15321]) ).
fof(f15321,plain,
( spl5_305
<=> ! [X2,X0,X1] :
( less(X1,vplus(X2,sK2(X1,X0)))
| ~ less(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_305])]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( less(X1,vplus(X2,sK2(X1,X0)))
| ~ less(X0,X2)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_43
| ~ spl5_56 ),
inference(superposition,[],[f509,f844]) ).
fof(f15319,plain,
( spl5_304
| ~ spl5_43
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f855,f843,f508,f15317]) ).
fof(f15317,plain,
( spl5_304
<=> ! [X2,X0,X1] :
( less(vplus(X2,sK2(X1,X0)),X1)
| ~ less(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_304])]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( less(vplus(X2,sK2(X1,X0)),X1)
| ~ less(X2,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_43
| ~ spl5_56 ),
inference(superposition,[],[f509,f844]) ).
fof(f15289,plain,
( spl5_303
| ~ spl5_40
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f853,f843,f496,f15287]) ).
fof(f15287,plain,
( spl5_303
<=> ! [X2,X0,X1] :
( vplus(X0,X2) != X1
| sK2(X1,X0) = X2
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_303])]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( vplus(X0,X2) != X1
| sK2(X1,X0) = X2
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_40
| ~ spl5_56 ),
inference(superposition,[],[f497,f844]) ).
fof(f15285,plain,
( spl5_302
| ~ spl5_30
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f755,f740,f434,f15283]) ).
fof(f15283,plain,
( spl5_302
<=> ! [X0,X3,X2,X1] :
( ~ geq(X0,X1)
| ~ geq(X2,X3)
| greater(vplus(X0,X2),vplus(X1,X3))
| vplus(X0,X2) = vplus(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_302])]) ).
fof(f755,plain,
( ! [X2,X3,X0,X1] :
( ~ geq(X0,X1)
| ~ geq(X2,X3)
| greater(vplus(X0,X2),vplus(X1,X3))
| vplus(X0,X2) = vplus(X1,X3) )
| ~ spl5_30
| ~ spl5_52 ),
inference(resolution,[],[f741,f435]) ).
fof(f15279,plain,
( spl5_301
| ~ spl5_25
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f906,f843,f389,f15277]) ).
fof(f15277,plain,
( spl5_301
<=> ! [X2,X0,X1] :
( X0 != X2
| vplus(X0,X1) = vplus(X2,sK2(vplus(X0,X1),X2))
| vplus(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_301])]) ).
fof(f906,plain,
( ! [X2,X0,X1] :
( X0 != X2
| vplus(X0,X1) = vplus(X2,sK2(vplus(X0,X1),X2))
| vplus(X0,X1) = X2 )
| ~ spl5_25
| ~ spl5_56 ),
inference(superposition,[],[f390,f844]) ).
fof(f15275,plain,
( spl5_300
| ~ spl5_25
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f876,f843,f389,f15273]) ).
fof(f15273,plain,
( spl5_300
<=> ! [X2,X0,X1] :
( X0 != X2
| vplus(X0,X1) = vplus(X2,sK1(X2,vplus(X0,X1)))
| vplus(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_300])]) ).
fof(f876,plain,
( ! [X2,X0,X1] :
( X0 != X2
| vplus(X0,X1) = vplus(X2,sK1(X2,vplus(X0,X1)))
| vplus(X0,X1) = X2 )
| ~ spl5_25
| ~ spl5_56 ),
inference(superposition,[],[f390,f844]) ).
fof(f14884,plain,
( spl5_299
| ~ spl5_42
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f572,f512,f504,f14882]) ).
fof(f14882,plain,
( spl5_299
<=> ! [X2,X0,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X2,sK4(vplus(X1,X2),vplus(X0,X2))))
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_299])]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( vplus(X0,X2) = vplus(X1,vplus(X2,sK4(vplus(X1,X2),vplus(X0,X2))))
| ~ greater(X0,X1) )
| ~ spl5_42
| ~ spl5_44 ),
inference(forward_demodulation,[],[f560,f223]) ).
fof(f223,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X73,X74,X75] : vplus(vplus(X73,X74),X75) = vplus(X73,vplus(X74,X75)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f560,plain,
( ! [X2,X0,X1] :
( ~ greater(X0,X1)
| vplus(X0,X2) = vplus(vplus(X1,X2),sK4(vplus(X1,X2),vplus(X0,X2))) )
| ~ spl5_42
| ~ spl5_44 ),
inference(resolution,[],[f513,f505]) ).
fof(f14880,plain,
( spl5_298
| ~ spl5_41
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f558,f508,f500,f14878]) ).
fof(f14878,plain,
( spl5_298
<=> ! [X2,X0,X1] :
( vplus(X1,X2) = vplus(X0,vplus(X2,sK3(vplus(X1,X2),vplus(X0,X2))))
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_298])]) ).
fof(f558,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) = vplus(X0,vplus(X2,sK3(vplus(X1,X2),vplus(X0,X2))))
| ~ less(X0,X1) )
| ~ spl5_41
| ~ spl5_43 ),
inference(forward_demodulation,[],[f546,f223]) ).
fof(f546,plain,
( ! [X2,X0,X1] :
( ~ less(X0,X1)
| vplus(X1,X2) = vplus(vplus(X0,X2),sK3(vplus(X1,X2),vplus(X0,X2))) )
| ~ spl5_41
| ~ spl5_43 ),
inference(resolution,[],[f509,f501]) ).
fof(f13974,plain,
( spl5_297
| ~ spl5_19
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f12070,f11665,f356,f13971]) ).
fof(f11665,plain,
( spl5_260
<=> less(sK0,vmul(vplus(vd411,v1),vplus(sK0,v1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_260])]) ).
fof(f12070,plain,
( greater(vmul(vplus(vd411,v1),vplus(sK0,v1)),sK0)
| ~ spl5_19
| ~ spl5_260 ),
inference(resolution,[],[f11667,f357]) ).
fof(f11667,plain,
( less(sK0,vmul(vplus(vd411,v1),vplus(sK0,v1)))
| ~ spl5_260 ),
inference(avatar_component_clause,[],[f11665]) ).
fof(f13151,plain,
( spl5_296
| ~ spl5_21
| ~ spl5_260 ),
inference(avatar_split_clause,[],[f12069,f11665,f364,f13148]) ).
fof(f12069,plain,
( leq(sK0,vmul(vplus(vd411,v1),vplus(sK0,v1)))
| ~ spl5_21
| ~ spl5_260 ),
inference(resolution,[],[f11667,f365]) ).
fof(f12347,plain,
( spl5_295
| ~ spl5_19
| ~ spl5_259 ),
inference(avatar_split_clause,[],[f12007,f10510,f356,f12345]) ).
fof(f10510,plain,
( spl5_259
<=> ! [X0] : less(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_259])]) ).
fof(f12007,plain,
( ! [X0] : greater(vplus(X0,vmul(vplus(vd411,v1),sK0)),sK0)
| ~ spl5_19
| ~ spl5_259 ),
inference(resolution,[],[f10511,f357]) ).
fof(f10511,plain,
( ! [X0] : less(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_259 ),
inference(avatar_component_clause,[],[f10510]) ).
fof(f12142,plain,
( spl5_294
| ~ spl5_50
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f840,f752,f612,f12140]) ).
fof(f12140,plain,
( spl5_294
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ greater(X2,v1)
| ~ geq(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_294])]) ).
fof(f840,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ greater(X2,v1)
| ~ geq(X3,vplus(X0,X1)) )
| ~ spl5_50
| ~ spl5_55 ),
inference(superposition,[],[f753,f613]) ).
fof(f12138,plain,
( spl5_293
| ~ spl5_49
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f838,f752,f608,f12136]) ).
fof(f12136,plain,
( spl5_293
<=> ! [X4,X0,X3,X2,X1] :
( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ greater(X3,vplus(X0,X1))
| ~ geq(X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_293])]) ).
fof(f838,plain,
( ! [X2,X3,X0,X1,X4] :
( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ greater(X3,vplus(X0,X1))
| ~ geq(X4,X2) )
| ~ spl5_49
| ~ spl5_55 ),
inference(superposition,[],[f753,f609]) ).
fof(f12134,plain,
( spl5_292
| ~ spl5_51
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f837,f752,f616,f12132]) ).
fof(f12132,plain,
( spl5_292
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ greater(X2,vmul(X0,X1))
| ~ geq(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_292])]) ).
fof(f837,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ greater(X2,vmul(X0,X1))
| ~ geq(X3,X0) )
| ~ spl5_51
| ~ spl5_55 ),
inference(superposition,[],[f753,f617]) ).
fof(f12130,plain,
( spl5_291
| ~ spl5_50
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f835,f752,f612,f12128]) ).
fof(f12128,plain,
( spl5_291
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ greater(X2,X0)
| ~ geq(X3,vplus(v1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_291])]) ).
fof(f835,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ greater(X2,X0)
| ~ geq(X3,vplus(v1,X1)) )
| ~ spl5_50
| ~ spl5_55 ),
inference(superposition,[],[f753,f613]) ).
fof(f12126,plain,
( spl5_290
| ~ spl5_50
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f832,f752,f612,f12124]) ).
fof(f12124,plain,
( spl5_290
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(v1,X2)
| ~ geq(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_290])]) ).
fof(f832,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(v1,X2)
| ~ geq(vplus(X0,X1),X3) )
| ~ spl5_50
| ~ spl5_55 ),
inference(superposition,[],[f753,f613]) ).
fof(f12122,plain,
( spl5_289
| ~ spl5_49
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f830,f752,f608,f12120]) ).
fof(f12120,plain,
( spl5_289
<=> ! [X4,X0,X3,X2,X1] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ greater(vplus(X0,X1),X3)
| ~ geq(X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_289])]) ).
fof(f830,plain,
( ! [X2,X3,X0,X1,X4] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ greater(vplus(X0,X1),X3)
| ~ geq(X2,X4) )
| ~ spl5_49
| ~ spl5_55 ),
inference(superposition,[],[f753,f609]) ).
fof(f12118,plain,
( spl5_288
| ~ spl5_51
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f829,f752,f616,f12116]) ).
fof(f12116,plain,
( spl5_288
<=> ! [X0,X3,X2,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(vmul(X0,X1),X2)
| ~ geq(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_288])]) ).
fof(f829,plain,
( ! [X2,X3,X0,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(vmul(X0,X1),X2)
| ~ geq(X0,X3) )
| ~ spl5_51
| ~ spl5_55 ),
inference(superposition,[],[f753,f617]) ).
fof(f12114,plain,
( spl5_287
| ~ spl5_21
| ~ spl5_259 ),
inference(avatar_split_clause,[],[f12006,f10510,f364,f12112]) ).
fof(f12006,plain,
( ! [X0] : leq(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_21
| ~ spl5_259 ),
inference(resolution,[],[f10511,f365]) ).
fof(f12110,plain,
( spl5_286
| ~ spl5_50
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f827,f752,f612,f12108]) ).
fof(f12108,plain,
( spl5_286
<=> ! [X0,X3,X2,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ greater(X0,X2)
| ~ geq(vplus(v1,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_286])]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ greater(X0,X2)
| ~ geq(vplus(v1,X1),X3) )
| ~ spl5_50
| ~ spl5_55 ),
inference(superposition,[],[f753,f613]) ).
fof(f12106,plain,
( spl5_285
| ~ spl5_50
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f817,f748,f612,f12104]) ).
fof(f12104,plain,
( spl5_285
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ geq(X2,v1)
| ~ greater(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_285])]) ).
fof(f817,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ geq(X2,v1)
| ~ greater(X3,vplus(X0,X1)) )
| ~ spl5_50
| ~ spl5_54 ),
inference(superposition,[],[f749,f613]) ).
fof(f12102,plain,
( spl5_284
| ~ spl5_49
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f815,f748,f608,f12100]) ).
fof(f12100,plain,
( spl5_284
<=> ! [X4,X0,X3,X2,X1] :
( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ geq(X3,vplus(X0,X1))
| ~ greater(X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_284])]) ).
fof(f815,plain,
( ! [X2,X3,X0,X1,X4] :
( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ geq(X3,vplus(X0,X1))
| ~ greater(X4,X2) )
| ~ spl5_49
| ~ spl5_54 ),
inference(superposition,[],[f749,f609]) ).
fof(f12098,plain,
( spl5_283
| ~ spl5_51
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f814,f748,f616,f12096]) ).
fof(f12096,plain,
( spl5_283
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ geq(X2,vmul(X0,X1))
| ~ greater(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_283])]) ).
fof(f814,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ geq(X2,vmul(X0,X1))
| ~ greater(X3,X0) )
| ~ spl5_51
| ~ spl5_54 ),
inference(superposition,[],[f749,f617]) ).
fof(f12094,plain,
( spl5_282
| ~ spl5_50
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f812,f748,f612,f12092]) ).
fof(f12092,plain,
( spl5_282
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ geq(X2,X0)
| ~ greater(X3,vplus(v1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_282])]) ).
fof(f812,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ geq(X2,X0)
| ~ greater(X3,vplus(v1,X1)) )
| ~ spl5_50
| ~ spl5_54 ),
inference(superposition,[],[f749,f613]) ).
fof(f12090,plain,
( spl5_281
| ~ spl5_50
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f809,f748,f612,f12088]) ).
fof(f12088,plain,
( spl5_281
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(v1,X2)
| ~ greater(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_281])]) ).
fof(f809,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(v1,X2)
| ~ greater(vplus(X0,X1),X3) )
| ~ spl5_50
| ~ spl5_54 ),
inference(superposition,[],[f749,f613]) ).
fof(f12086,plain,
( spl5_280
| ~ spl5_49
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f807,f748,f608,f12084]) ).
fof(f12084,plain,
( spl5_280
<=> ! [X4,X0,X3,X2,X1] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ geq(vplus(X0,X1),X3)
| ~ greater(X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_280])]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1,X4] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ geq(vplus(X0,X1),X3)
| ~ greater(X2,X4) )
| ~ spl5_49
| ~ spl5_54 ),
inference(superposition,[],[f749,f609]) ).
fof(f12082,plain,
( spl5_279
| ~ spl5_51
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f806,f748,f616,f12080]) ).
fof(f12080,plain,
( spl5_279
<=> ! [X0,X3,X2,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(vmul(X0,X1),X2)
| ~ greater(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_279])]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(vmul(X0,X1),X2)
| ~ greater(X0,X3) )
| ~ spl5_51
| ~ spl5_54 ),
inference(superposition,[],[f749,f617]) ).
fof(f12078,plain,
( spl5_278
| ~ spl5_50
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f804,f748,f612,f12076]) ).
fof(f12076,plain,
( spl5_278
<=> ! [X0,X3,X2,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(vplus(v1,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_278])]) ).
fof(f804,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(vplus(v1,X1),X3) )
| ~ spl5_50
| ~ spl5_54 ),
inference(superposition,[],[f749,f613]) ).
fof(f12074,plain,
( spl5_277
| ~ spl5_50
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f794,f744,f612,f12072]) ).
fof(f12072,plain,
( spl5_277
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ greater(X2,v1)
| ~ greater(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_277])]) ).
fof(f794,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ greater(X2,v1)
| ~ greater(X3,vplus(X0,X1)) )
| ~ spl5_50
| ~ spl5_53 ),
inference(superposition,[],[f745,f613]) ).
fof(f12066,plain,
( spl5_276
| ~ spl5_49
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f792,f744,f608,f12064]) ).
fof(f12064,plain,
( spl5_276
<=> ! [X4,X0,X3,X2,X1] :
( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ greater(X3,vplus(X0,X1))
| ~ greater(X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_276])]) ).
fof(f792,plain,
( ! [X2,X3,X0,X1,X4] :
( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ greater(X3,vplus(X0,X1))
| ~ greater(X4,X2) )
| ~ spl5_49
| ~ spl5_53 ),
inference(superposition,[],[f745,f609]) ).
fof(f12062,plain,
( spl5_275
| ~ spl5_51
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f791,f744,f616,f12060]) ).
fof(f12060,plain,
( spl5_275
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ greater(X2,vmul(X0,X1))
| ~ greater(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_275])]) ).
fof(f791,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ greater(X2,vmul(X0,X1))
| ~ greater(X3,X0) )
| ~ spl5_51
| ~ spl5_53 ),
inference(superposition,[],[f745,f617]) ).
fof(f12058,plain,
( spl5_274
| ~ spl5_50
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f789,f744,f612,f12056]) ).
fof(f12056,plain,
( spl5_274
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ greater(X2,X0)
| ~ greater(X3,vplus(v1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_274])]) ).
fof(f789,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ greater(X2,X0)
| ~ greater(X3,vplus(v1,X1)) )
| ~ spl5_50
| ~ spl5_53 ),
inference(superposition,[],[f745,f613]) ).
fof(f12054,plain,
( spl5_273
| ~ spl5_50
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f786,f744,f612,f12052]) ).
fof(f12052,plain,
( spl5_273
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(v1,X2)
| ~ greater(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_273])]) ).
fof(f786,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(v1,X2)
| ~ greater(vplus(X0,X1),X3) )
| ~ spl5_50
| ~ spl5_53 ),
inference(superposition,[],[f745,f613]) ).
fof(f12050,plain,
( spl5_272
| ~ spl5_49
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f784,f744,f608,f12048]) ).
fof(f12048,plain,
( spl5_272
<=> ! [X4,X0,X3,X2,X1] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ greater(vplus(X0,X1),X3)
| ~ greater(X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_272])]) ).
fof(f784,plain,
( ! [X2,X3,X0,X1,X4] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ greater(vplus(X0,X1),X3)
| ~ greater(X2,X4) )
| ~ spl5_49
| ~ spl5_53 ),
inference(superposition,[],[f745,f609]) ).
fof(f12046,plain,
( spl5_271
| ~ spl5_51
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f783,f744,f616,f12044]) ).
fof(f12044,plain,
( spl5_271
<=> ! [X0,X3,X2,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(vmul(X0,X1),X2)
| ~ greater(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_271])]) ).
fof(f783,plain,
( ! [X2,X3,X0,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ greater(vmul(X0,X1),X2)
| ~ greater(X0,X3) )
| ~ spl5_51
| ~ spl5_53 ),
inference(superposition,[],[f745,f617]) ).
fof(f12042,plain,
( spl5_270
| ~ spl5_50
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f781,f744,f612,f12040]) ).
fof(f12040,plain,
( spl5_270
<=> ! [X0,X3,X2,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(vplus(v1,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_270])]) ).
fof(f781,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(vplus(v1,X1),X3) )
| ~ spl5_50
| ~ spl5_53 ),
inference(superposition,[],[f745,f613]) ).
fof(f12038,plain,
( spl5_269
| ~ spl5_50
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f772,f740,f612,f12036]) ).
fof(f12036,plain,
( spl5_269
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ geq(X2,v1)
| ~ geq(X3,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_269])]) ).
fof(f772,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
| ~ geq(X2,v1)
| ~ geq(X3,vplus(X0,X1)) )
| ~ spl5_50
| ~ spl5_52 ),
inference(superposition,[],[f741,f613]) ).
fof(f12034,plain,
( spl5_268
| ~ spl5_49
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f770,f740,f608,f12032]) ).
fof(f12032,plain,
( spl5_268
<=> ! [X4,X0,X3,X2,X1] :
( geq(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ geq(X3,vplus(X0,X1))
| ~ geq(X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_268])]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1,X4] :
( geq(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
| ~ geq(X3,vplus(X0,X1))
| ~ geq(X4,X2) )
| ~ spl5_49
| ~ spl5_52 ),
inference(superposition,[],[f741,f609]) ).
fof(f12030,plain,
( spl5_267
| ~ spl5_51
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f769,f740,f616,f12028]) ).
fof(f12028,plain,
( spl5_267
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ geq(X2,vmul(X0,X1))
| ~ geq(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_267])]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X2,X3),vmul(X0,vplus(v1,X1)))
| ~ geq(X2,vmul(X0,X1))
| ~ geq(X3,X0) )
| ~ spl5_51
| ~ spl5_52 ),
inference(superposition,[],[f741,f617]) ).
fof(f12001,plain,
( spl5_266
| ~ spl5_50
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f767,f740,f612,f11999]) ).
fof(f11999,plain,
( spl5_266
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ geq(X2,X0)
| ~ geq(X3,vplus(v1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_266])]) ).
fof(f767,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
| ~ geq(X2,X0)
| ~ geq(X3,vplus(v1,X1)) )
| ~ spl5_50
| ~ spl5_52 ),
inference(superposition,[],[f741,f613]) ).
fof(f11997,plain,
( spl5_265
| ~ spl5_50
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f764,f740,f612,f11995]) ).
fof(f11995,plain,
( spl5_265
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(v1,X2)
| ~ geq(vplus(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_265])]) ).
fof(f764,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(v1,X2)
| ~ geq(vplus(X0,X1),X3) )
| ~ spl5_50
| ~ spl5_52 ),
inference(superposition,[],[f741,f613]) ).
fof(f11993,plain,
( spl5_264
| ~ spl5_49
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f762,f740,f608,f11991]) ).
fof(f11991,plain,
( spl5_264
<=> ! [X4,X0,X3,X2,X1] :
( geq(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ geq(vplus(X0,X1),X3)
| ~ geq(X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_264])]) ).
fof(f762,plain,
( ! [X2,X3,X0,X1,X4] :
( geq(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
| ~ geq(vplus(X0,X1),X3)
| ~ geq(X2,X4) )
| ~ spl5_49
| ~ spl5_52 ),
inference(superposition,[],[f741,f609]) ).
fof(f11989,plain,
( spl5_263
| ~ spl5_51
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f761,f740,f616,f11987]) ).
fof(f11987,plain,
( spl5_263
<=> ! [X0,X3,X2,X1] :
( geq(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(vmul(X0,X1),X2)
| ~ geq(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_263])]) ).
fof(f761,plain,
( ! [X2,X3,X0,X1] :
( geq(vmul(X0,vplus(v1,X1)),vplus(X2,X3))
| ~ geq(vmul(X0,X1),X2)
| ~ geq(X0,X3) )
| ~ spl5_51
| ~ spl5_52 ),
inference(superposition,[],[f741,f617]) ).
fof(f11985,plain,
( spl5_262
| ~ spl5_50
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f759,f740,f612,f11983]) ).
fof(f11983,plain,
( spl5_262
<=> ! [X0,X3,X2,X1] :
( geq(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(vplus(v1,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_262])]) ).
fof(f759,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(vplus(v1,X1),X3) )
| ~ spl5_50
| ~ spl5_52 ),
inference(superposition,[],[f741,f613]) ).
fof(f11981,plain,
( spl5_261
| ~ spl5_28
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f594,f529,f426,f11979]) ).
fof(f11979,plain,
( spl5_261
<=> ! [X2,X0,X1] :
( greater(X0,X1)
| less(vplus(X0,X2),vplus(X1,X2))
| vplus(X1,X2) = vplus(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_261])]) ).
fof(f426,plain,
( spl5_28
<=> ! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f594,plain,
( ! [X2,X0,X1] :
( greater(X0,X1)
| less(vplus(X0,X2),vplus(X1,X2))
| vplus(X1,X2) = vplus(X0,X2) )
| ~ spl5_28
| ~ spl5_48 ),
inference(resolution,[],[f530,f427]) ).
fof(f427,plain,
( ! [X0,X1] :
( greater(X0,X1)
| less(X0,X1)
| X0 = X1 )
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f11668,plain,
( spl5_260
| ~ spl5_24
| ~ spl5_131
| ~ spl5_238 ),
inference(avatar_split_clause,[],[f8818,f6713,f1999,f385,f11665]) ).
fof(f1999,plain,
( spl5_131
<=> ! [X0,X1] : less(vmul(X0,X1),vmul(X0,vplus(v1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_131])]) ).
fof(f6713,plain,
( spl5_238
<=> ! [X0] :
( less(sK0,X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_238])]) ).
fof(f8818,plain,
( less(sK0,vmul(vplus(vd411,v1),vplus(sK0,v1)))
| ~ spl5_24
| ~ spl5_131
| ~ spl5_238 ),
inference(forward_demodulation,[],[f8812,f386]) ).
fof(f8812,plain,
( less(sK0,vmul(vplus(vd411,v1),vplus(v1,sK0)))
| ~ spl5_131
| ~ spl5_238 ),
inference(resolution,[],[f6714,f2000]) ).
fof(f2000,plain,
( ! [X0,X1] : less(vmul(X0,X1),vmul(X0,vplus(v1,X1)))
| ~ spl5_131 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f6714,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),X0)
| less(sK0,X0) )
| ~ spl5_238 ),
inference(avatar_component_clause,[],[f6713]) ).
fof(f10512,plain,
( spl5_259
| ~ spl5_96
| ~ spl5_238 ),
inference(avatar_split_clause,[],[f8813,f6713,f1534,f10510]) ).
fof(f8813,plain,
( ! [X0] : less(sK0,vplus(X0,vmul(vplus(vd411,v1),sK0)))
| ~ spl5_96
| ~ spl5_238 ),
inference(resolution,[],[f6714,f1535]) ).
fof(f8848,plain,
( spl5_258
| ~ spl5_13
| ~ spl5_24
| ~ spl5_49
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f975,f967,f608,f385,f328,f8845]) ).
fof(f8845,plain,
( spl5_258
<=> vmul(vplus(vd411,v1),vplus(v1,v1)) = vplus(vd411,vplus(vd411,vplus(v1,v1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_258])]) ).
fof(f975,plain,
( vmul(vplus(vd411,v1),vplus(v1,v1)) = vplus(vd411,vplus(vd411,vplus(v1,v1)))
| ~ spl5_13
| ~ spl5_24
| ~ spl5_49
| ~ spl5_62 ),
inference(forward_demodulation,[],[f974,f624]) ).
fof(f974,plain,
( vmul(vplus(vd411,v1),vplus(v1,v1)) = vplus(vd411,vplus(v1,vplus(vd411,v1)))
| ~ spl5_13
| ~ spl5_24
| ~ spl5_62 ),
inference(trivial_inequality_removal,[],[f973]) ).
fof(f973,plain,
( vplus(vd411,v1) != vplus(vd411,v1)
| vmul(vplus(vd411,v1),vplus(v1,v1)) = vplus(vd411,vplus(v1,vplus(vd411,v1)))
| ~ spl5_13
| ~ spl5_24
| ~ spl5_62 ),
inference(forward_demodulation,[],[f972,f386]) ).
fof(f972,plain,
( vplus(v1,vd411) != vplus(vd411,v1)
| vmul(vplus(vd411,v1),vplus(v1,v1)) = vplus(vd411,vplus(v1,vplus(vd411,v1)))
| ~ spl5_13
| ~ spl5_62 ),
inference(forward_demodulation,[],[f970,f329]) ).
fof(f970,plain,
( vplus(v1,vd411) != vmul(vplus(vd411,v1),v1)
| vmul(vplus(vd411,v1),vplus(v1,v1)) = vplus(vd411,vplus(v1,vplus(vd411,v1)))
| ~ spl5_13
| ~ spl5_62 ),
inference(superposition,[],[f968,f329]) ).
fof(f8843,plain,
( spl5_257
| ~ spl5_25
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f882,f843,f389,f8841]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) != X0
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_25
| ~ spl5_56 ),
inference(superposition,[],[f390,f844]) ).
fof(f8839,plain,
( spl5_256
| ~ spl5_11
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f878,f843,f320,f8837]) ).
fof(f8837,plain,
( spl5_256
<=> ! [X0,X1] :
( sK1(X0,X1) != X1
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_256])]) ).
fof(f320,plain,
( spl5_11
<=> ! [X0,X1] : vplus(X0,X1) != X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f878,plain,
( ! [X0,X1] :
( sK1(X0,X1) != X1
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_11
| ~ spl5_56 ),
inference(superposition,[],[f321,f844]) ).
fof(f321,plain,
( ! [X0,X1] : vplus(X0,X1) != X1
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f8835,plain,
( spl5_255
| ~ spl5_25
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f852,f843,f389,f8833]) ).
fof(f852,plain,
( ! [X2,X0,X1] :
( vplus(X1,X2) != X0
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_25
| ~ spl5_56 ),
inference(superposition,[],[f390,f844]) ).
fof(f8831,plain,
( spl5_254
| ~ spl5_11
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f848,f843,f320,f8829]) ).
fof(f8829,plain,
( spl5_254
<=> ! [X0,X1] :
( sK2(X1,X0) != X1
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_254])]) ).
fof(f848,plain,
( ! [X0,X1] :
( sK2(X1,X0) != X1
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_11
| ~ spl5_56 ),
inference(superposition,[],[f321,f844]) ).
fof(f8827,plain,
( spl5_253
| ~ spl5_37
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f839,f752,f464,f8825]) ).
fof(f8825,plain,
( spl5_253
<=> ! [X2,X0,X1] :
( greater(vplus(X1,X2),X0)
| ~ greater(X1,v1)
| ~ geq(X2,vskolem2(X0))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_253])]) ).
fof(f464,plain,
( spl5_37
<=> ! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f839,plain,
( ! [X2,X0,X1] :
( greater(vplus(X1,X2),X0)
| ~ greater(X1,v1)
| ~ geq(X2,vskolem2(X0))
| v1 = X0 )
| ~ spl5_37
| ~ spl5_55 ),
inference(superposition,[],[f753,f465]) ).
fof(f465,plain,
( ! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 )
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f8823,plain,
( spl5_252
| ~ spl5_37
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f831,f752,f464,f8821]) ).
fof(f8821,plain,
( spl5_252
<=> ! [X2,X0,X1] :
( greater(X0,vplus(X1,X2))
| ~ greater(v1,X1)
| ~ geq(vskolem2(X0),X2)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_252])]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( greater(X0,vplus(X1,X2))
| ~ greater(v1,X1)
| ~ geq(vskolem2(X0),X2)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_55 ),
inference(superposition,[],[f753,f465]) ).
fof(f8804,plain,
( spl5_251
| ~ spl5_37
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f816,f748,f464,f8802]) ).
fof(f8802,plain,
( spl5_251
<=> ! [X2,X0,X1] :
( greater(vplus(X1,X2),X0)
| ~ geq(X1,v1)
| ~ greater(X2,vskolem2(X0))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_251])]) ).
fof(f816,plain,
( ! [X2,X0,X1] :
( greater(vplus(X1,X2),X0)
| ~ geq(X1,v1)
| ~ greater(X2,vskolem2(X0))
| v1 = X0 )
| ~ spl5_37
| ~ spl5_54 ),
inference(superposition,[],[f749,f465]) ).
fof(f8800,plain,
( spl5_250
| ~ spl5_37
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f808,f748,f464,f8798]) ).
fof(f8798,plain,
( spl5_250
<=> ! [X2,X0,X1] :
( greater(X0,vplus(X1,X2))
| ~ geq(v1,X1)
| ~ greater(vskolem2(X0),X2)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_250])]) ).
fof(f808,plain,
( ! [X2,X0,X1] :
( greater(X0,vplus(X1,X2))
| ~ geq(v1,X1)
| ~ greater(vskolem2(X0),X2)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_54 ),
inference(superposition,[],[f749,f465]) ).
fof(f8796,plain,
( spl5_249
| ~ spl5_37
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f793,f744,f464,f8794]) ).
fof(f8794,plain,
( spl5_249
<=> ! [X2,X0,X1] :
( greater(vplus(X1,X2),X0)
| ~ greater(X1,v1)
| ~ greater(X2,vskolem2(X0))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_249])]) ).
fof(f793,plain,
( ! [X2,X0,X1] :
( greater(vplus(X1,X2),X0)
| ~ greater(X1,v1)
| ~ greater(X2,vskolem2(X0))
| v1 = X0 )
| ~ spl5_37
| ~ spl5_53 ),
inference(superposition,[],[f745,f465]) ).
fof(f8792,plain,
( spl5_248
| ~ spl5_37
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f785,f744,f464,f8790]) ).
fof(f8790,plain,
( spl5_248
<=> ! [X2,X0,X1] :
( greater(X0,vplus(X1,X2))
| ~ greater(v1,X1)
| ~ greater(vskolem2(X0),X2)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_248])]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( greater(X0,vplus(X1,X2))
| ~ greater(v1,X1)
| ~ greater(vskolem2(X0),X2)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_53 ),
inference(superposition,[],[f745,f465]) ).
fof(f8788,plain,
( spl5_247
| ~ spl5_37
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f771,f740,f464,f8786]) ).
fof(f8786,plain,
( spl5_247
<=> ! [X2,X0,X1] :
( geq(vplus(X1,X2),X0)
| ~ geq(X1,v1)
| ~ geq(X2,vskolem2(X0))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_247])]) ).
fof(f771,plain,
( ! [X2,X0,X1] :
( geq(vplus(X1,X2),X0)
| ~ geq(X1,v1)
| ~ geq(X2,vskolem2(X0))
| v1 = X0 )
| ~ spl5_37
| ~ spl5_52 ),
inference(superposition,[],[f741,f465]) ).
fof(f8784,plain,
( spl5_246
| ~ spl5_37
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f763,f740,f464,f8782]) ).
fof(f8782,plain,
( spl5_246
<=> ! [X2,X0,X1] :
( geq(X0,vplus(X1,X2))
| ~ geq(v1,X1)
| ~ geq(vskolem2(X0),X2)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_246])]) ).
fof(f763,plain,
( ! [X2,X0,X1] :
( geq(X0,vplus(X1,X2))
| ~ geq(v1,X1)
| ~ geq(vskolem2(X0),X2)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_52 ),
inference(superposition,[],[f741,f465]) ).
fof(f8780,plain,
( spl5_245
| ~ spl5_49
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f729,f616,f608,f8778]) ).
fof(f729,plain,
( ! [X2,X0,X1] : vplus(vmul(X0,vplus(v1,X1)),X2) = vplus(vmul(X0,X1),vplus(X0,X2))
| ~ spl5_49
| ~ spl5_51 ),
inference(superposition,[],[f609,f617]) ).
fof(f8776,plain,
( spl5_244
| ~ spl5_49
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f702,f612,f608,f8774]) ).
fof(f8774,plain,
( spl5_244
<=> ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(v1,vplus(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_244])]) ).
fof(f702,plain,
( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(v1,vplus(X1,X2)))
| ~ spl5_49
| ~ spl5_50 ),
inference(forward_demodulation,[],[f697,f609]) ).
fof(f697,plain,
( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(vplus(v1,X1),X2))
| ~ spl5_49
| ~ spl5_50 ),
inference(superposition,[],[f609,f613]) ).
fof(f8772,plain,
( spl5_243
| ~ spl5_49
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f701,f612,f608,f8770]) ).
fof(f8770,plain,
( spl5_243
<=> ! [X2,X0,X1] : vplus(vplus(X0,vplus(v1,X1)),X2) = vplus(v1,vplus(X0,vplus(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_243])]) ).
fof(f701,plain,
( ! [X2,X0,X1] : vplus(vplus(X0,vplus(v1,X1)),X2) = vplus(v1,vplus(X0,vplus(X1,X2)))
| ~ spl5_49
| ~ spl5_50 ),
inference(forward_demodulation,[],[f677,f609]) ).
fof(f677,plain,
( ! [X2,X0,X1] : vplus(v1,vplus(vplus(X0,X1),X2)) = vplus(vplus(X0,vplus(v1,X1)),X2)
| ~ spl5_49
| ~ spl5_50 ),
inference(superposition,[],[f609,f613]) ).
fof(f8768,plain,
( spl5_242
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f654,f612,f8766]) ).
fof(f8766,plain,
( spl5_242
<=> ! [X2,X0,X1] : vplus(v1,vplus(X2,vplus(X0,X1))) = vplus(X2,vplus(X0,vplus(v1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_242])]) ).
fof(f654,plain,
( ! [X2,X0,X1] : vplus(v1,vplus(X2,vplus(X0,X1))) = vplus(X2,vplus(X0,vplus(v1,X1)))
| ~ spl5_50 ),
inference(superposition,[],[f613,f613]) ).
fof(f8764,plain,
( spl5_241
| ~ spl5_19
| ~ spl5_227 ),
inference(avatar_split_clause,[],[f5954,f5907,f356,f8762]) ).
fof(f8762,plain,
( spl5_241
<=> ! [X0] :
( ~ less(X0,sK0)
| greater(vmul(vplus(vd411,v1),sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_241])]) ).
fof(f5907,plain,
( spl5_227
<=> ! [X0] :
( ~ less(X0,sK0)
| less(X0,vmul(vplus(vd411,v1),sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_227])]) ).
fof(f5954,plain,
( ! [X0] :
( ~ less(X0,sK0)
| greater(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_19
| ~ spl5_227 ),
inference(resolution,[],[f5908,f357]) ).
fof(f5908,plain,
( ! [X0] :
( less(X0,vmul(vplus(vd411,v1),sK0))
| ~ less(X0,sK0) )
| ~ spl5_227 ),
inference(avatar_component_clause,[],[f5907]) ).
fof(f8323,plain,
( spl5_240
| ~ spl5_21
| ~ spl5_227 ),
inference(avatar_split_clause,[],[f5953,f5907,f364,f8321]) ).
fof(f5953,plain,
( ! [X0] :
( ~ less(X0,sK0)
| leq(X0,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_21
| ~ spl5_227 ),
inference(resolution,[],[f5908,f365]) ).
fof(f7601,plain,
( spl5_239
| ~ spl5_31
| ~ spl5_111 ),
inference(avatar_split_clause,[],[f1983,f1704,f438,f7599]) ).
fof(f1704,plain,
( spl5_111
<=> leq(sK0,vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_111])]) ).
fof(f1983,plain,
( ! [X0] :
( ~ leq(X0,sK0)
| leq(X0,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_31
| ~ spl5_111 ),
inference(resolution,[],[f1706,f439]) ).
fof(f1706,plain,
( leq(sK0,vmul(vplus(vd411,v1),sK0))
| ~ spl5_111 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f6715,plain,
( spl5_238
| ~ spl5_34
| ~ spl5_111 ),
inference(avatar_split_clause,[],[f1982,f1704,f451,f6713]) ).
fof(f1982,plain,
( ! [X0] :
( less(sK0,X0)
| ~ less(vmul(vplus(vd411,v1),sK0),X0) )
| ~ spl5_34
| ~ spl5_111 ),
inference(resolution,[],[f1706,f452]) ).
fof(f5949,plain,
( spl5_237
| ~ spl5_48
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f728,f616,f529,f5947]) ).
fof(f5947,plain,
( spl5_237
<=> ! [X2,X0,X1] :
( ~ greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| greater(vmul(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_237])]) ).
fof(f728,plain,
( ! [X2,X0,X1] :
( ~ greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| greater(vmul(X0,X1),X2) )
| ~ spl5_48
| ~ spl5_51 ),
inference(superposition,[],[f530,f617]) ).
fof(f5945,plain,
( spl5_236
| ~ spl5_48
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f727,f616,f529,f5943]) ).
fof(f5943,plain,
( spl5_236
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| greater(X2,vmul(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_236])]) ).
fof(f727,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| greater(X2,vmul(X0,X1)) )
| ~ spl5_48
| ~ spl5_51 ),
inference(superposition,[],[f530,f617]) ).
fof(f5941,plain,
( spl5_235
| ~ spl5_47
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f726,f616,f525,f5939]) ).
fof(f5939,plain,
( spl5_235
<=> ! [X2,X0,X1] :
( ~ less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| less(vmul(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_235])]) ).
fof(f726,plain,
( ! [X2,X0,X1] :
( ~ less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| less(vmul(X0,X1),X2) )
| ~ spl5_47
| ~ spl5_51 ),
inference(superposition,[],[f526,f617]) ).
fof(f5937,plain,
( spl5_234
| ~ spl5_47
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f725,f616,f525,f5935]) ).
fof(f5935,plain,
( spl5_234
<=> ! [X2,X0,X1] :
( ~ less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| less(X2,vmul(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_234])]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| less(X2,vmul(X0,X1)) )
| ~ spl5_47
| ~ spl5_51 ),
inference(superposition,[],[f526,f617]) ).
fof(f5933,plain,
( spl5_233
| ~ spl5_45
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f723,f616,f516,f5931]) ).
fof(f5931,plain,
( spl5_233
<=> ! [X2,X0,X1] :
( vplus(X2,X0) != vmul(X0,vplus(v1,X1))
| vmul(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_233])]) ).
fof(f723,plain,
( ! [X2,X0,X1] :
( vplus(X2,X0) != vmul(X0,vplus(v1,X1))
| vmul(X0,X1) = X2 )
| ~ spl5_45
| ~ spl5_51 ),
inference(superposition,[],[f517,f617]) ).
fof(f5929,plain,
( spl5_232
| ~ spl5_44
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f722,f616,f512,f5927]) ).
fof(f5927,plain,
( spl5_232
<=> ! [X2,X0,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| ~ greater(vmul(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_232])]) ).
fof(f722,plain,
( ! [X2,X0,X1] :
( greater(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| ~ greater(vmul(X0,X1),X2) )
| ~ spl5_44
| ~ spl5_51 ),
inference(superposition,[],[f513,f617]) ).
fof(f5925,plain,
( spl5_231
| ~ spl5_44
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f721,f616,f512,f5923]) ).
fof(f5923,plain,
( spl5_231
<=> ! [X2,X0,X1] :
( greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| ~ greater(X2,vmul(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_231])]) ).
fof(f721,plain,
( ! [X2,X0,X1] :
( greater(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| ~ greater(X2,vmul(X0,X1)) )
| ~ spl5_44
| ~ spl5_51 ),
inference(superposition,[],[f513,f617]) ).
fof(f5921,plain,
( spl5_230
| ~ spl5_43
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f720,f616,f508,f5919]) ).
fof(f5919,plain,
( spl5_230
<=> ! [X2,X0,X1] :
( less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| ~ less(vmul(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_230])]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( less(vmul(X0,vplus(v1,X1)),vplus(X2,X0))
| ~ less(vmul(X0,X1),X2) )
| ~ spl5_43
| ~ spl5_51 ),
inference(superposition,[],[f509,f617]) ).
fof(f5917,plain,
( spl5_229
| ~ spl5_43
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f719,f616,f508,f5915]) ).
fof(f5915,plain,
( spl5_229
<=> ! [X2,X0,X1] :
( less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| ~ less(X2,vmul(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_229])]) ).
fof(f719,plain,
( ! [X2,X0,X1] :
( less(vplus(X2,X0),vmul(X0,vplus(v1,X1)))
| ~ less(X2,vmul(X0,X1)) )
| ~ spl5_43
| ~ spl5_51 ),
inference(superposition,[],[f509,f617]) ).
fof(f5913,plain,
( spl5_228
| ~ spl5_40
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f717,f616,f496,f5911]) ).
fof(f5911,plain,
( spl5_228
<=> ! [X2,X0,X1] :
( vmul(X0,vplus(v1,X1)) != vplus(vmul(X0,X1),X2)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_228])]) ).
fof(f717,plain,
( ! [X2,X0,X1] :
( vmul(X0,vplus(v1,X1)) != vplus(vmul(X0,X1),X2)
| X0 = X2 )
| ~ spl5_40
| ~ spl5_51 ),
inference(superposition,[],[f497,f617]) ).
fof(f5909,plain,
( spl5_227
| ~ spl5_33
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f1410,f1195,f447,f5907]) ).
fof(f1195,plain,
( spl5_81
<=> less(sK0,vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f1410,plain,
( ! [X0] :
( ~ less(X0,sK0)
| less(X0,vmul(vplus(vd411,v1),sK0)) )
| ~ spl5_33
| ~ spl5_81 ),
inference(resolution,[],[f1197,f448]) ).
fof(f1197,plain,
( less(sK0,vmul(vplus(vd411,v1),sK0))
| ~ spl5_81 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f5905,plain,
( spl5_226
| ~ spl5_48
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f696,f612,f529,f5903]) ).
fof(f5903,plain,
( spl5_226
<=> ! [X2,X0,X1] :
( ~ greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| greater(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_226])]) ).
fof(f696,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| greater(X0,X2) )
| ~ spl5_48
| ~ spl5_50 ),
inference(superposition,[],[f530,f613]) ).
fof(f5901,plain,
( spl5_225
| ~ spl5_48
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f695,f612,f529,f5899]) ).
fof(f5899,plain,
( spl5_225
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| greater(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_225])]) ).
fof(f695,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| greater(X2,X0) )
| ~ spl5_48
| ~ spl5_50 ),
inference(superposition,[],[f530,f613]) ).
fof(f5897,plain,
( spl5_224
| ~ spl5_47
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f694,f612,f525,f5895]) ).
fof(f5895,plain,
( spl5_224
<=> ! [X2,X0,X1] :
( ~ less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_224])]) ).
fof(f694,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| less(X0,X2) )
| ~ spl5_47
| ~ spl5_50 ),
inference(superposition,[],[f526,f613]) ).
fof(f5893,plain,
( spl5_223
| ~ spl5_47
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f693,f612,f525,f5891]) ).
fof(f5891,plain,
( spl5_223
<=> ! [X2,X0,X1] :
( ~ less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_223])]) ).
fof(f693,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| less(X2,X0) )
| ~ spl5_47
| ~ spl5_50 ),
inference(superposition,[],[f526,f613]) ).
fof(f5889,plain,
( spl5_222
| ~ spl5_45
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f691,f612,f516,f5887]) ).
fof(f5887,plain,
( spl5_222
<=> ! [X2,X0,X1] :
( vplus(v1,vplus(X0,X1)) != vplus(X2,vplus(v1,X1))
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_222])]) ).
fof(f691,plain,
( ! [X2,X0,X1] :
( vplus(v1,vplus(X0,X1)) != vplus(X2,vplus(v1,X1))
| X0 = X2 )
| ~ spl5_45
| ~ spl5_50 ),
inference(superposition,[],[f517,f613]) ).
fof(f5885,plain,
( spl5_221
| ~ spl5_44
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f690,f612,f512,f5883]) ).
fof(f5883,plain,
( spl5_221
<=> ! [X2,X0,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| ~ greater(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_221])]) ).
fof(f690,plain,
( ! [X2,X0,X1] :
( greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| ~ greater(X0,X2) )
| ~ spl5_44
| ~ spl5_50 ),
inference(superposition,[],[f513,f613]) ).
fof(f5881,plain,
( spl5_220
| ~ spl5_44
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f689,f612,f512,f5879]) ).
fof(f5879,plain,
( spl5_220
<=> ! [X2,X0,X1] :
( greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| ~ greater(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_220])]) ).
fof(f689,plain,
( ! [X2,X0,X1] :
( greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| ~ greater(X2,X0) )
| ~ spl5_44
| ~ spl5_50 ),
inference(superposition,[],[f513,f613]) ).
fof(f5877,plain,
( spl5_219
| ~ spl5_43
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f688,f612,f508,f5875]) ).
fof(f5875,plain,
( spl5_219
<=> ! [X2,X0,X1] :
( less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| ~ less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_219])]) ).
fof(f688,plain,
( ! [X2,X0,X1] :
( less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
| ~ less(X0,X2) )
| ~ spl5_43
| ~ spl5_50 ),
inference(superposition,[],[f509,f613]) ).
fof(f5873,plain,
( spl5_218
| ~ spl5_43
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f687,f612,f508,f5871]) ).
fof(f5871,plain,
( spl5_218
<=> ! [X2,X0,X1] :
( less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| ~ less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_218])]) ).
fof(f687,plain,
( ! [X2,X0,X1] :
( less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
| ~ less(X2,X0) )
| ~ spl5_43
| ~ spl5_50 ),
inference(superposition,[],[f509,f613]) ).
fof(f5869,plain,
( spl5_217
| ~ spl5_40
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f685,f612,f496,f5867]) ).
fof(f5867,plain,
( spl5_217
<=> ! [X2,X0,X1] :
( vplus(X0,X2) != vplus(v1,vplus(X0,X1))
| vplus(v1,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_217])]) ).
fof(f685,plain,
( ! [X2,X0,X1] :
( vplus(X0,X2) != vplus(v1,vplus(X0,X1))
| vplus(v1,X1) = X2 )
| ~ spl5_40
| ~ spl5_50 ),
inference(superposition,[],[f497,f613]) ).
fof(f5865,plain,
( spl5_216
| ~ spl5_48
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f676,f612,f529,f5863]) ).
fof(f5863,plain,
( spl5_216
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| greater(v1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_216])]) ).
fof(f676,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| greater(v1,X2) )
| ~ spl5_48
| ~ spl5_50 ),
inference(superposition,[],[f530,f613]) ).
fof(f5861,plain,
( spl5_215
| ~ spl5_48
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f675,f612,f529,f5859]) ).
fof(f5859,plain,
( spl5_215
<=> ! [X2,X0,X1] :
( ~ greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| greater(X2,v1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_215])]) ).
fof(f675,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| greater(X2,v1) )
| ~ spl5_48
| ~ spl5_50 ),
inference(superposition,[],[f530,f613]) ).
fof(f5857,plain,
( spl5_214
| ~ spl5_47
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f674,f612,f525,f5855]) ).
fof(f5855,plain,
( spl5_214
<=> ! [X2,X0,X1] :
( ~ less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| less(v1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_214])]) ).
fof(f674,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| less(v1,X2) )
| ~ spl5_47
| ~ spl5_50 ),
inference(superposition,[],[f526,f613]) ).
fof(f5853,plain,
( spl5_213
| ~ spl5_47
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f673,f612,f525,f5851]) ).
fof(f5851,plain,
( spl5_213
<=> ! [X2,X0,X1] :
( ~ less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| less(X2,v1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_213])]) ).
fof(f673,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| less(X2,v1) )
| ~ spl5_47
| ~ spl5_50 ),
inference(superposition,[],[f526,f613]) ).
fof(f5849,plain,
( spl5_212
| ~ spl5_45
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f671,f612,f516,f5847]) ).
fof(f5847,plain,
( spl5_212
<=> ! [X2,X0,X1] :
( vplus(X0,vplus(v1,X1)) != vplus(X2,vplus(X0,X1))
| v1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_212])]) ).
fof(f671,plain,
( ! [X2,X0,X1] :
( vplus(X0,vplus(v1,X1)) != vplus(X2,vplus(X0,X1))
| v1 = X2 )
| ~ spl5_45
| ~ spl5_50 ),
inference(superposition,[],[f517,f613]) ).
fof(f5845,plain,
( spl5_211
| ~ spl5_44
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f670,f612,f512,f5843]) ).
fof(f5843,plain,
( spl5_211
<=> ! [X2,X0,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| ~ greater(v1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_211])]) ).
fof(f670,plain,
( ! [X2,X0,X1] :
( greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| ~ greater(v1,X2) )
| ~ spl5_44
| ~ spl5_50 ),
inference(superposition,[],[f513,f613]) ).
fof(f5841,plain,
( spl5_210
| ~ spl5_44
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f669,f612,f512,f5839]) ).
fof(f5839,plain,
( spl5_210
<=> ! [X2,X0,X1] :
( greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| ~ greater(X2,v1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_210])]) ).
fof(f669,plain,
( ! [X2,X0,X1] :
( greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| ~ greater(X2,v1) )
| ~ spl5_44
| ~ spl5_50 ),
inference(superposition,[],[f513,f613]) ).
fof(f5837,plain,
( spl5_209
| ~ spl5_43
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f668,f612,f508,f5835]) ).
fof(f5835,plain,
( spl5_209
<=> ! [X2,X0,X1] :
( less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| ~ less(v1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_209])]) ).
fof(f668,plain,
( ! [X2,X0,X1] :
( less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
| ~ less(v1,X2) )
| ~ spl5_43
| ~ spl5_50 ),
inference(superposition,[],[f509,f613]) ).
fof(f5833,plain,
( spl5_208
| ~ spl5_43
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f667,f612,f508,f5831]) ).
fof(f5831,plain,
( spl5_208
<=> ! [X2,X0,X1] :
( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| ~ less(X2,v1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_208])]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
| ~ less(X2,v1) )
| ~ spl5_43
| ~ spl5_50 ),
inference(superposition,[],[f509,f613]) ).
fof(f5829,plain,
( spl5_207
| ~ spl5_40
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f665,f612,f496,f5827]) ).
fof(f5827,plain,
( spl5_207
<=> ! [X2,X0,X1] :
( vplus(X0,vplus(v1,X1)) != vplus(v1,X2)
| vplus(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_207])]) ).
fof(f665,plain,
( ! [X2,X0,X1] :
( vplus(X0,vplus(v1,X1)) != vplus(v1,X2)
| vplus(X0,X1) = X2 )
| ~ spl5_40
| ~ spl5_50 ),
inference(superposition,[],[f497,f613]) ).
fof(f5825,plain,
( spl5_206
| ~ spl5_48
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f645,f608,f529,f5823]) ).
fof(f645,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| greater(vplus(X0,X1),X3) )
| ~ spl5_48
| ~ spl5_49 ),
inference(superposition,[],[f530,f609]) ).
fof(f5821,plain,
( spl5_205
| ~ spl5_48
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f644,f608,f529,f5819]) ).
fof(f644,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| greater(X3,vplus(X0,X1)) )
| ~ spl5_48
| ~ spl5_49 ),
inference(superposition,[],[f530,f609]) ).
fof(f5817,plain,
( spl5_204
| ~ spl5_47
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f643,f608,f525,f5815]) ).
fof(f643,plain,
( ! [X2,X3,X0,X1] :
( ~ less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| less(vplus(X0,X1),X3) )
| ~ spl5_47
| ~ spl5_49 ),
inference(superposition,[],[f526,f609]) ).
fof(f5813,plain,
( spl5_203
| ~ spl5_47
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f642,f608,f525,f5811]) ).
fof(f642,plain,
( ! [X2,X3,X0,X1] :
( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| less(X3,vplus(X0,X1)) )
| ~ spl5_47
| ~ spl5_49 ),
inference(superposition,[],[f526,f609]) ).
fof(f5809,plain,
( spl5_202
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f640,f608,f516,f5807]) ).
fof(f640,plain,
( ! [X2,X3,X0,X1] :
( vplus(X0,vplus(X1,X2)) != vplus(X3,X2)
| vplus(X0,X1) = X3 )
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f517,f609]) ).
fof(f5805,plain,
( spl5_201
| ~ spl5_44
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f639,f608,f512,f5803]) ).
fof(f639,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| ~ greater(vplus(X0,X1),X3) )
| ~ spl5_44
| ~ spl5_49 ),
inference(superposition,[],[f513,f609]) ).
fof(f5801,plain,
( spl5_200
| ~ spl5_44
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f638,f608,f512,f5799]) ).
fof(f638,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| ~ greater(X3,vplus(X0,X1)) )
| ~ spl5_44
| ~ spl5_49 ),
inference(superposition,[],[f513,f609]) ).
fof(f5797,plain,
( spl5_199
| ~ spl5_43
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f637,f608,f508,f5795]) ).
fof(f637,plain,
( ! [X2,X3,X0,X1] :
( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
| ~ less(vplus(X0,X1),X3) )
| ~ spl5_43
| ~ spl5_49 ),
inference(superposition,[],[f509,f609]) ).
fof(f5793,plain,
( spl5_198
| ~ spl5_43
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f636,f608,f508,f5791]) ).
fof(f636,plain,
( ! [X2,X3,X0,X1] :
( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
| ~ less(X3,vplus(X0,X1)) )
| ~ spl5_43
| ~ spl5_49 ),
inference(superposition,[],[f509,f609]) ).
fof(f5789,plain,
( spl5_197
| ~ spl5_40
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f634,f608,f496,f5787]) ).
fof(f634,plain,
( ! [X2,X3,X0,X1] :
( vplus(X0,vplus(X1,X2)) != vplus(vplus(X0,X1),X3)
| X2 = X3 )
| ~ spl5_40
| ~ spl5_49 ),
inference(superposition,[],[f497,f609]) ).
fof(f5785,plain,
( spl5_195
| ~ spl5_196
| ~ spl5_66
| ~ spl5_116 ),
inference(avatar_split_clause,[],[f1928,f1854,f1022,f5782,f5778]) ).
fof(f1928,plain,
( v1 != vmul(vplus(vd411,v1),sK0)
| v1 = sK0
| ~ spl5_66
| ~ spl5_116 ),
inference(superposition,[],[f1855,f1024]) ).
fof(f4691,plain,
( ~ spl5_194
| ~ spl5_24
| ~ spl5_51
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f4521,f2822,f616,f385,f4688]) ).
fof(f4688,plain,
( spl5_194
<=> sK0 = vmul(vplus(vd411,v1),vplus(sK0,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_194])]) ).
fof(f2822,plain,
( spl5_148
<=> ! [X0] : sK0 != vplus(vmul(vplus(vd411,v1),sK0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_148])]) ).
fof(f4521,plain,
( sK0 != vmul(vplus(vd411,v1),vplus(sK0,v1))
| ~ spl5_24
| ~ spl5_51
| ~ spl5_148 ),
inference(forward_demodulation,[],[f4510,f386]) ).
fof(f4510,plain,
( sK0 != vmul(vplus(vd411,v1),vplus(v1,sK0))
| ~ spl5_51
| ~ spl5_148 ),
inference(superposition,[],[f2823,f617]) ).
fof(f2823,plain,
( ! [X0] : sK0 != vplus(vmul(vplus(vd411,v1),sK0),X0)
| ~ spl5_148 ),
inference(avatar_component_clause,[],[f2822]) ).
fof(f4601,plain,
( spl5_193
| ~ spl5_15
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f881,f843,f336,f4599]) ).
fof(f4599,plain,
( spl5_193
<=> ! [X0,X1] :
( less(X0,X1)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_193])]) ).
fof(f881,plain,
( ! [X0,X1] :
( less(X0,X1)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_15
| ~ spl5_56 ),
inference(superposition,[],[f337,f844]) ).
fof(f4597,plain,
( spl5_192
| ~ spl5_12
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f879,f843,f324,f4595]) ).
fof(f4595,plain,
( spl5_192
<=> ! [X0,X1] :
( greater(X1,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_192])]) ).
fof(f879,plain,
( ! [X0,X1] :
( greater(X1,X0)
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 )
| ~ spl5_12
| ~ spl5_56 ),
inference(superposition,[],[f325,f844]) ).
fof(f4593,plain,
( spl5_191
| ~ spl5_15
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f851,f843,f336,f4591]) ).
fof(f4591,plain,
( spl5_191
<=> ! [X0,X1] :
( less(X0,X1)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_191])]) ).
fof(f851,plain,
( ! [X0,X1] :
( less(X0,X1)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_15
| ~ spl5_56 ),
inference(superposition,[],[f337,f844]) ).
fof(f4589,plain,
( spl5_190
| ~ spl5_12
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f849,f843,f324,f4587]) ).
fof(f4587,plain,
( spl5_190
<=> ! [X0,X1] :
( greater(X1,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_190])]) ).
fof(f849,plain,
( ! [X0,X1] :
( greater(X1,X0)
| vplus(X1,sK1(X1,X0)) = X0
| X0 = X1 )
| ~ spl5_12
| ~ spl5_56 ),
inference(superposition,[],[f325,f844]) ).
fof(f4585,plain,
( spl5_189
| ~ spl5_16
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f824,f752,f344,f4583]) ).
fof(f824,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| ~ less(vplus(X0,X2),vplus(X1,X3)) )
| ~ spl5_16
| ~ spl5_55 ),
inference(resolution,[],[f753,f345]) ).
fof(f4581,plain,
( spl5_188
| ~ spl5_20
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f823,f752,f360,f4579]) ).
fof(f823,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| less(vplus(X1,X3),vplus(X0,X2)) )
| ~ spl5_20
| ~ spl5_55 ),
inference(resolution,[],[f753,f361]) ).
fof(f4577,plain,
( spl5_187
| ~ spl5_23
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f822,f752,f373,f4575]) ).
fof(f822,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ geq(X2,X3)
| geq(vplus(X0,X2),vplus(X1,X3)) )
| ~ spl5_23
| ~ spl5_55 ),
inference(resolution,[],[f753,f374]) ).
fof(f4562,plain,
( spl5_186
| ~ spl5_24
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f810,f748,f385,f4560]) ).
fof(f4560,plain,
( spl5_186
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X2,X3),vplus(X1,X0))
| ~ geq(X2,X0)
| ~ greater(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_186])]) ).
fof(f810,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X2,X3),vplus(X1,X0))
| ~ geq(X2,X0)
| ~ greater(X3,X1) )
| ~ spl5_24
| ~ spl5_54 ),
inference(superposition,[],[f749,f386]) ).
fof(f4558,plain,
( spl5_185
| ~ spl5_24
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f802,f748,f385,f4556]) ).
fof(f4556,plain,
( spl5_185
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X1,X0),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_185])]) ).
fof(f802,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X1,X0),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ greater(X1,X3) )
| ~ spl5_24
| ~ spl5_54 ),
inference(superposition,[],[f749,f386]) ).
fof(f4554,plain,
( spl5_184
| ~ spl5_16
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f801,f748,f344,f4552]) ).
fof(f801,plain,
( ! [X2,X3,X0,X1] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| ~ less(vplus(X0,X2),vplus(X1,X3)) )
| ~ spl5_16
| ~ spl5_54 ),
inference(resolution,[],[f749,f345]) ).
fof(f4550,plain,
( spl5_183
| ~ spl5_20
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f800,f748,f360,f4548]) ).
fof(f800,plain,
( ! [X2,X3,X0,X1] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| less(vplus(X1,X3),vplus(X0,X2)) )
| ~ spl5_20
| ~ spl5_54 ),
inference(resolution,[],[f749,f361]) ).
fof(f4546,plain,
( spl5_182
| ~ spl5_23
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f799,f748,f373,f4544]) ).
fof(f799,plain,
( ! [X2,X3,X0,X1] :
( ~ geq(X0,X1)
| ~ greater(X2,X3)
| geq(vplus(X0,X2),vplus(X1,X3)) )
| ~ spl5_23
| ~ spl5_54 ),
inference(resolution,[],[f749,f374]) ).
fof(f4542,plain,
( spl5_181
| ~ spl5_24
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f779,f744,f385,f4540]) ).
fof(f4540,plain,
( spl5_181
<=> ! [X0,X3,X2,X1] :
( greater(vplus(X1,X0),vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_181])]) ).
fof(f779,plain,
( ! [X2,X3,X0,X1] :
( greater(vplus(X1,X0),vplus(X2,X3))
| ~ greater(X0,X2)
| ~ greater(X1,X3) )
| ~ spl5_24
| ~ spl5_53 ),
inference(superposition,[],[f745,f386]) ).
fof(f4538,plain,
( spl5_180
| ~ spl5_16
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f778,f744,f344,f4536]) ).
fof(f778,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| ~ less(vplus(X0,X2),vplus(X1,X3)) )
| ~ spl5_16
| ~ spl5_53 ),
inference(resolution,[],[f745,f345]) ).
fof(f4534,plain,
( spl5_179
| ~ spl5_20
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f777,f744,f360,f4532]) ).
fof(f777,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| less(vplus(X1,X3),vplus(X0,X2)) )
| ~ spl5_20
| ~ spl5_53 ),
inference(resolution,[],[f745,f361]) ).
fof(f4530,plain,
( spl5_178
| ~ spl5_23
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f776,f744,f373,f4528]) ).
fof(f776,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| geq(vplus(X0,X2),vplus(X1,X3)) )
| ~ spl5_23
| ~ spl5_53 ),
inference(resolution,[],[f745,f374]) ).
fof(f4526,plain,
( spl5_177
| ~ spl5_24
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f757,f740,f385,f4524]) ).
fof(f4524,plain,
( spl5_177
<=> ! [X0,X3,X2,X1] :
( geq(vplus(X1,X0),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_177])]) ).
fof(f757,plain,
( ! [X2,X3,X0,X1] :
( geq(vplus(X1,X0),vplus(X2,X3))
| ~ geq(X0,X2)
| ~ geq(X1,X3) )
| ~ spl5_24
| ~ spl5_52 ),
inference(superposition,[],[f741,f386]) ).
fof(f4508,plain,
( spl5_176
| ~ spl5_18
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f756,f740,f352,f4506]) ).
fof(f756,plain,
( ! [X2,X3,X0,X1] :
( ~ geq(X0,X1)
| ~ geq(X2,X3)
| leq(vplus(X1,X3),vplus(X0,X2)) )
| ~ spl5_18
| ~ spl5_52 ),
inference(resolution,[],[f741,f353]) ).
fof(f4504,plain,
( spl5_175
| ~ spl5_37
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f653,f612,f464,f4502]) ).
fof(f4502,plain,
( spl5_175
<=> ! [X0,X1] :
( vplus(X1,X0) = vplus(v1,vplus(X1,vskolem2(X0)))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_175])]) ).
fof(f653,plain,
( ! [X0,X1] :
( vplus(X1,X0) = vplus(v1,vplus(X1,vskolem2(X0)))
| v1 = X0 )
| ~ spl5_37
| ~ spl5_50 ),
inference(superposition,[],[f613,f465]) ).
fof(f4500,plain,
( spl5_174
| ~ spl5_37
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f623,f608,f464,f4498]) ).
fof(f4498,plain,
( spl5_174
<=> ! [X0,X1] :
( vplus(X0,X1) = vplus(v1,vplus(vskolem2(X0),X1))
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_174])]) ).
fof(f623,plain,
( ! [X0,X1] :
( vplus(X0,X1) = vplus(v1,vplus(vskolem2(X0),X1))
| v1 = X0 )
| ~ spl5_37
| ~ spl5_49 ),
inference(superposition,[],[f609,f465]) ).
fof(f4496,plain,
( spl5_173
| ~ spl5_33
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f547,f508,f447,f4494]) ).
fof(f547,plain,
( ! [X2,X3,X0,X1] :
( ~ less(X0,X1)
| ~ less(X2,vplus(X0,X3))
| less(X2,vplus(X1,X3)) )
| ~ spl5_33
| ~ spl5_43 ),
inference(resolution,[],[f509,f448]) ).
fof(f4492,plain,
( spl5_172
| ~ spl5_28
| ~ spl5_42 ),
inference(avatar_split_clause,[],[f543,f504,f426,f4490]) ).
fof(f4490,plain,
( spl5_172
<=> ! [X0,X1] :
( vplus(X0,sK4(X0,X1)) = X1
| less(X1,X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_172])]) ).
fof(f543,plain,
( ! [X0,X1] :
( vplus(X0,sK4(X0,X1)) = X1
| less(X1,X0)
| X0 = X1 )
| ~ spl5_28
| ~ spl5_42 ),
inference(resolution,[],[f505,f427]) ).
fof(f4488,plain,
( spl5_171
| ~ spl5_26
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f480,f434,f412,f4486]) ).
fof(f4486,plain,
( spl5_171
<=> ! [X0,X1] :
( greater(X0,vplus(X1,v1))
| vplus(X1,v1) = X0
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_171])]) ).
fof(f480,plain,
( ! [X0,X1] :
( greater(X0,vplus(X1,v1))
| vplus(X1,v1) = X0
| ~ greater(X0,X1) )
| ~ spl5_26
| ~ spl5_30 ),
inference(resolution,[],[f435,f413]) ).
fof(f4240,plain,
( spl5_170
| ~ spl5_26
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f647,f608,f412,f4238]) ).
fof(f4238,plain,
( spl5_170
<=> ! [X2,X0,X1] :
( geq(X2,vplus(X0,vplus(X1,v1)))
| ~ greater(X2,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_170])]) ).
fof(f647,plain,
( ! [X2,X0,X1] :
( geq(X2,vplus(X0,vplus(X1,v1)))
| ~ greater(X2,vplus(X0,X1)) )
| ~ spl5_26
| ~ spl5_49 ),
inference(superposition,[],[f413,f609]) ).
fof(f4236,plain,
( spl5_169
| ~ spl5_27
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f646,f608,f416,f4234]) ).
fof(f4234,plain,
( spl5_169
<=> ! [X2,X0,X1] :
( ~ less(X2,vplus(X0,vplus(X1,v1)))
| leq(X2,vplus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_169])]) ).
fof(f646,plain,
( ! [X2,X0,X1] :
( ~ less(X2,vplus(X0,vplus(X1,v1)))
| leq(X2,vplus(X0,X1)) )
| ~ spl5_27
| ~ spl5_49 ),
inference(superposition,[],[f417,f609]) ).
fof(f4229,plain,
( spl5_168
| ~ spl5_37
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f602,f529,f464,f4227]) ).
fof(f4227,plain,
( spl5_168
<=> ! [X0,X1] :
( ~ greater(vplus(X1,vskolem2(X0)),X0)
| greater(X1,v1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_168])]) ).
fof(f602,plain,
( ! [X0,X1] :
( ~ greater(vplus(X1,vskolem2(X0)),X0)
| greater(X1,v1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_48 ),
inference(superposition,[],[f530,f465]) ).
fof(f4225,plain,
( spl5_167
| ~ spl5_37
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f598,f529,f464,f4223]) ).
fof(f4223,plain,
( spl5_167
<=> ! [X0,X1] :
( ~ greater(X0,vplus(X1,vskolem2(X0)))
| greater(v1,X1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_167])]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ greater(X0,vplus(X1,vskolem2(X0)))
| greater(v1,X1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_48 ),
inference(superposition,[],[f530,f465]) ).
fof(f4221,plain,
( spl5_166
| ~ spl5_37
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f591,f525,f464,f4219]) ).
fof(f4219,plain,
( spl5_166
<=> ! [X0,X1] :
( ~ less(vplus(X1,vskolem2(X0)),X0)
| less(X1,v1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_166])]) ).
fof(f591,plain,
( ! [X0,X1] :
( ~ less(vplus(X1,vskolem2(X0)),X0)
| less(X1,v1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_47 ),
inference(superposition,[],[f526,f465]) ).
fof(f4217,plain,
( spl5_165
| ~ spl5_37
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f587,f525,f464,f4215]) ).
fof(f4215,plain,
( spl5_165
<=> ! [X0,X1] :
( ~ less(X0,vplus(X1,vskolem2(X0)))
| less(v1,X1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_165])]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ less(X0,vplus(X1,vskolem2(X0)))
| less(v1,X1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_47 ),
inference(superposition,[],[f526,f465]) ).
fof(f4213,plain,
( spl5_164
| ~ spl5_37
| ~ spl5_45 ),
inference(avatar_split_clause,[],[f576,f516,f464,f4211]) ).
fof(f576,plain,
( ! [X0,X1] :
( vplus(X1,vskolem2(X0)) != X0
| v1 = X1
| v1 = X0 )
| ~ spl5_37
| ~ spl5_45 ),
inference(superposition,[],[f517,f465]) ).
fof(f4209,plain,
( spl5_163
| ~ spl5_37
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f571,f512,f464,f4207]) ).
fof(f4207,plain,
( spl5_163
<=> ! [X0,X1] :
( greater(vplus(X1,vskolem2(X0)),X0)
| ~ greater(X1,v1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_163])]) ).
fof(f571,plain,
( ! [X0,X1] :
( greater(vplus(X1,vskolem2(X0)),X0)
| ~ greater(X1,v1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_44 ),
inference(superposition,[],[f513,f465]) ).
fof(f4205,plain,
( spl5_162
| ~ spl5_37
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f567,f512,f464,f4203]) ).
fof(f4203,plain,
( spl5_162
<=> ! [X0,X1] :
( greater(X0,vplus(X1,vskolem2(X0)))
| ~ greater(v1,X1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_162])]) ).
fof(f567,plain,
( ! [X0,X1] :
( greater(X0,vplus(X1,vskolem2(X0)))
| ~ greater(v1,X1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_44 ),
inference(superposition,[],[f513,f465]) ).
fof(f4201,plain,
( spl5_161
| ~ spl5_37
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f557,f508,f464,f4199]) ).
fof(f4199,plain,
( spl5_161
<=> ! [X0,X1] :
( less(vplus(X1,vskolem2(X0)),X0)
| ~ less(X1,v1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_161])]) ).
fof(f557,plain,
( ! [X0,X1] :
( less(vplus(X1,vskolem2(X0)),X0)
| ~ less(X1,v1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_43 ),
inference(superposition,[],[f509,f465]) ).
fof(f4197,plain,
( spl5_160
| ~ spl5_37
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f553,f508,f464,f4195]) ).
fof(f4195,plain,
( spl5_160
<=> ! [X0,X1] :
( less(X0,vplus(X1,vskolem2(X0)))
| ~ less(v1,X1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_160])]) ).
fof(f553,plain,
( ! [X0,X1] :
( less(X0,vplus(X1,vskolem2(X0)))
| ~ less(v1,X1)
| v1 = X0 )
| ~ spl5_37
| ~ spl5_43 ),
inference(superposition,[],[f509,f465]) ).
fof(f4193,plain,
( spl5_159
| ~ spl5_37
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f535,f496,f464,f4191]) ).
fof(f4191,plain,
( spl5_159
<=> ! [X0,X1] :
( vplus(v1,X1) != X0
| vskolem2(X0) = X1
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_159])]) ).
fof(f535,plain,
( ! [X0,X1] :
( vplus(v1,X1) != X0
| vskolem2(X0) = X1
| v1 = X0 )
| ~ spl5_37
| ~ spl5_40 ),
inference(superposition,[],[f497,f465]) ).
fof(f4189,plain,
( spl5_158
| ~ spl5_66
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1719,f1653,f1022,f4187]) ).
fof(f4187,plain,
( spl5_158
<=> ! [X0] : sK0 != vplus(X0,vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_158])]) ).
fof(f1719,plain,
( ! [X0] : sK0 != vplus(X0,vmul(vplus(vd411,v1),sK0))
| ~ spl5_66
| ~ spl5_103 ),
inference(superposition,[],[f1654,f1024]) ).
fof(f3016,plain,
( spl5_157
| ~ spl5_25
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f716,f616,f389,f3014]) ).
fof(f3014,plain,
( spl5_157
<=> ! [X2,X0,X1] : vmul(X0,X1) != vplus(vmul(X0,vplus(v1,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_157])]) ).
fof(f716,plain,
( ! [X2,X0,X1] : vmul(X0,X1) != vplus(vmul(X0,vplus(v1,X1)),X2)
| ~ spl5_25
| ~ spl5_51 ),
inference(superposition,[],[f390,f617]) ).
fof(f3012,plain,
( spl5_156
| ~ spl5_24
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f707,f616,f385,f3010]) ).
fof(f707,plain,
( ! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(X0,vmul(X0,X1))
| ~ spl5_24
| ~ spl5_51 ),
inference(superposition,[],[f617,f386]) ).
fof(f3008,plain,
( spl5_155
| ~ spl5_83
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f1603,f1534,f1238,f3006]) ).
fof(f3006,plain,
( spl5_155
<=> ! [X0] : less(X0,vplus(sK0,vplus(X0,vmul(vd411,sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_155])]) ).
fof(f1603,plain,
( ! [X0] : less(X0,vplus(sK0,vplus(X0,vmul(vd411,sK0))))
| ~ spl5_83
| ~ spl5_96 ),
inference(superposition,[],[f1535,f1239]) ).
fof(f3004,plain,
( spl5_154
| ~ spl5_24
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f657,f612,f385,f3002]) ).
fof(f657,plain,
( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0)
| ~ spl5_24
| ~ spl5_50 ),
inference(superposition,[],[f613,f386]) ).
fof(f3000,plain,
( spl5_153
| ~ spl5_25
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f633,f608,f389,f2998]) ).
fof(f633,plain,
( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3)
| ~ spl5_25
| ~ spl5_49 ),
inference(superposition,[],[f390,f609]) ).
fof(f2996,plain,
( spl5_152
| ~ spl5_24
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f624,f608,f385,f2994]) ).
fof(f2992,plain,
( spl5_151
| ~ spl5_24
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f619,f608,f385,f2990]) ).
fof(f619,plain,
( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2)
| ~ spl5_24
| ~ spl5_49 ),
inference(superposition,[],[f609,f386]) ).
fof(f2988,plain,
( spl5_150
| ~ spl5_12
| ~ spl5_42 ),
inference(avatar_split_clause,[],[f542,f504,f324,f2986]) ).
fof(f2986,plain,
( spl5_150
<=> ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK4(X0,vplus(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_150])]) ).
fof(f542,plain,
( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK4(X0,vplus(X0,X1)))
| ~ spl5_12
| ~ spl5_42 ),
inference(resolution,[],[f505,f325]) ).
fof(f2984,plain,
( spl5_149
| ~ spl5_15
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f541,f500,f336,f2982]) ).
fof(f2982,plain,
( spl5_149
<=> ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK3(vplus(X0,X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_149])]) ).
fof(f541,plain,
( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK3(vplus(X0,X1),X0))
| ~ spl5_15
| ~ spl5_41 ),
inference(resolution,[],[f501,f337]) ).
fof(f2824,plain,
( spl5_148
| ~ spl5_25
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1043,f1022,f389,f2822]) ).
fof(f1043,plain,
( ! [X0] : sK0 != vplus(vmul(vplus(vd411,v1),sK0),X0)
| ~ spl5_25
| ~ spl5_66 ),
inference(superposition,[],[f390,f1024]) ).
fof(f2486,plain,
( spl5_147
| ~ spl5_24
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f600,f529,f385,f2484]) ).
fof(f600,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X2,X1),vplus(X1,X0))
| greater(X2,X0) )
| ~ spl5_24
| ~ spl5_48 ),
inference(superposition,[],[f530,f386]) ).
fof(f2482,plain,
( spl5_146
| ~ spl5_24
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f596,f529,f385,f2480]) ).
fof(f596,plain,
( ! [X2,X0,X1] :
( ~ greater(vplus(X1,X0),vplus(X2,X1))
| greater(X0,X2) )
| ~ spl5_24
| ~ spl5_48 ),
inference(superposition,[],[f530,f386]) ).
fof(f2478,plain,
( spl5_145
| ~ spl5_24
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f589,f525,f385,f2476]) ).
fof(f589,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X2,X1),vplus(X1,X0))
| less(X2,X0) )
| ~ spl5_24
| ~ spl5_47 ),
inference(superposition,[],[f526,f386]) ).
fof(f2474,plain,
( spl5_144
| ~ spl5_24
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f585,f525,f385,f2472]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( ~ less(vplus(X1,X0),vplus(X2,X1))
| less(X0,X2) )
| ~ spl5_24
| ~ spl5_47 ),
inference(superposition,[],[f526,f386]) ).
fof(f2470,plain,
( spl5_143
| ~ spl5_24
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f569,f512,f385,f2468]) ).
fof(f569,plain,
( ! [X2,X0,X1] :
( greater(vplus(X2,X1),vplus(X1,X0))
| ~ greater(X2,X0) )
| ~ spl5_24
| ~ spl5_44 ),
inference(superposition,[],[f513,f386]) ).
fof(f2466,plain,
( spl5_142
| ~ spl5_24
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f565,f512,f385,f2464]) ).
fof(f565,plain,
( ! [X2,X0,X1] :
( greater(vplus(X1,X0),vplus(X2,X1))
| ~ greater(X0,X2) )
| ~ spl5_24
| ~ spl5_44 ),
inference(superposition,[],[f513,f386]) ).
fof(f2462,plain,
( spl5_141
| ~ spl5_16
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f563,f512,f344,f2460]) ).
fof(f563,plain,
( ! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ less(vplus(X0,X2),vplus(X1,X2)) )
| ~ spl5_16
| ~ spl5_44 ),
inference(resolution,[],[f513,f345]) ).
fof(f2458,plain,
( spl5_140
| ~ spl5_20
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f562,f512,f360,f2456]) ).
fof(f562,plain,
( ! [X2,X0,X1] :
( ~ greater(X0,X1)
| less(vplus(X1,X2),vplus(X0,X2)) )
| ~ spl5_20
| ~ spl5_44 ),
inference(resolution,[],[f513,f361]) ).
fof(f2454,plain,
( spl5_139
| ~ spl5_23
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f561,f512,f373,f2452]) ).
fof(f561,plain,
( ! [X2,X0,X1] :
( ~ greater(X0,X1)
| geq(vplus(X0,X2),vplus(X1,X2)) )
| ~ spl5_23
| ~ spl5_44 ),
inference(resolution,[],[f513,f374]) ).
fof(f2450,plain,
( spl5_138
| ~ spl5_24
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f555,f508,f385,f2448]) ).
fof(f555,plain,
( ! [X2,X0,X1] :
( less(vplus(X2,X1),vplus(X1,X0))
| ~ less(X2,X0) )
| ~ spl5_24
| ~ spl5_43 ),
inference(superposition,[],[f509,f386]) ).
fof(f2446,plain,
( spl5_137
| ~ spl5_21
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f956,f520,f364,f2443]) ).
fof(f2443,plain,
( spl5_137
<=> leq(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_137])]) ).
fof(f956,plain,
( leq(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0))
| ~ spl5_21
| ~ spl5_46 ),
inference(resolution,[],[f522,f365]) ).
fof(f2441,plain,
( spl5_136
| ~ spl5_24
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f551,f508,f385,f2439]) ).
fof(f551,plain,
( ! [X2,X0,X1] :
( less(vplus(X1,X0),vplus(X2,X1))
| ~ less(X0,X2) )
| ~ spl5_24
| ~ spl5_43 ),
inference(superposition,[],[f509,f386]) ).
fof(f2437,plain,
( spl5_135
| ~ spl5_19
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f549,f508,f356,f2435]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( ~ less(X0,X1)
| greater(vplus(X1,X2),vplus(X0,X2)) )
| ~ spl5_19
| ~ spl5_43 ),
inference(resolution,[],[f509,f357]) ).
fof(f2433,plain,
( spl5_134
| ~ spl5_21
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f548,f508,f364,f2431]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( ~ less(X0,X1)
| leq(vplus(X0,X2),vplus(X1,X2)) )
| ~ spl5_21
| ~ spl5_43 ),
inference(resolution,[],[f509,f365]) ).
fof(f2429,plain,
( spl5_133
| ~ spl5_24
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f533,f496,f385,f2427]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( vplus(X1,X0) != vplus(X0,X2)
| X1 = X2 )
| ~ spl5_24
| ~ spl5_40 ),
inference(superposition,[],[f497,f386]) ).
fof(f2182,plain,
( ~ spl5_132
| ~ spl5_16
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f606,f442,f344,f2179]) ).
fof(f2179,plain,
( spl5_132
<=> less(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_132])]) ).
fof(f606,plain,
( ~ less(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0))
| ~ spl5_16
| ~ spl5_32 ),
inference(resolution,[],[f444,f345]) ).
fof(f2001,plain,
( spl5_131
| ~ spl5_15
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f713,f616,f336,f1999]) ).
fof(f713,plain,
( ! [X0,X1] : less(vmul(X0,X1),vmul(X0,vplus(v1,X1)))
| ~ spl5_15
| ~ spl5_51 ),
inference(superposition,[],[f337,f617]) ).
fof(f1997,plain,
( spl5_130
| ~ spl5_14
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f712,f616,f332,f1995]) ).
fof(f1995,plain,
( spl5_130
<=> ! [X0,X1] : vmul(X0,X1) != vmul(X0,vplus(v1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_130])]) ).
fof(f712,plain,
( ! [X0,X1] : vmul(X0,X1) != vmul(X0,vplus(v1,X1))
| ~ spl5_14
| ~ spl5_51 ),
inference(superposition,[],[f333,f617]) ).
fof(f1993,plain,
( spl5_129
| ~ spl5_12
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f711,f616,f324,f1991]) ).
fof(f1991,plain,
( spl5_129
<=> ! [X0,X1] : greater(vmul(X0,vplus(v1,X1)),vmul(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_129])]) ).
fof(f711,plain,
( ! [X0,X1] : greater(vmul(X0,vplus(v1,X1)),vmul(X0,X1))
| ~ spl5_12
| ~ spl5_51 ),
inference(superposition,[],[f325,f617]) ).
fof(f1989,plain,
( spl5_128
| ~ spl5_13
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f706,f616,f328,f1987]) ).
fof(f706,plain,
( ! [X0] : vmul(X0,vplus(v1,v1)) = vplus(X0,X0)
| ~ spl5_13
| ~ spl5_51 ),
inference(superposition,[],[f617,f329]) ).
fof(f1980,plain,
( spl5_127
| ~ spl5_10
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f705,f616,f316,f1978]) ).
fof(f1978,plain,
( spl5_127
<=> ! [X0] : vplus(X0,v1) = vmul(v1,vplus(v1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_127])]) ).
fof(f316,plain,
( spl5_10
<=> ! [X0] : vmul(v1,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f705,plain,
( ! [X0] : vplus(X0,v1) = vmul(v1,vplus(v1,X0))
| ~ spl5_10
| ~ spl5_51 ),
inference(superposition,[],[f617,f317]) ).
fof(f317,plain,
( ! [X0] : vmul(v1,X0) = X0
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f1976,plain,
( spl5_126
| ~ spl5_25
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f684,f612,f389,f1974]) ).
fof(f1974,plain,
( spl5_126
<=> ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_126])]) ).
fof(f684,plain,
( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) != X0
| ~ spl5_25
| ~ spl5_50 ),
inference(superposition,[],[f390,f613]) ).
fof(f1972,plain,
( spl5_125
| ~ spl5_11
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f678,f612,f320,f1970]) ).
fof(f1970,plain,
( spl5_125
<=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) != vplus(v1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_125])]) ).
fof(f678,plain,
( ! [X0,X1] : vplus(v1,vplus(X0,X1)) != vplus(v1,X1)
| ~ spl5_11
| ~ spl5_50 ),
inference(superposition,[],[f321,f613]) ).
fof(f1968,plain,
( spl5_124
| ~ spl5_25
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f664,f612,f389,f1966]) ).
fof(f1966,plain,
( spl5_124
<=> ! [X2,X0,X1] : v1 != vplus(vplus(X0,vplus(v1,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_124])]) ).
fof(f664,plain,
( ! [X2,X0,X1] : v1 != vplus(vplus(X0,vplus(v1,X1)),X2)
| ~ spl5_25
| ~ spl5_50 ),
inference(superposition,[],[f390,f613]) ).
fof(f1964,plain,
( spl5_123
| ~ spl5_11
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f660,f612,f320,f1962]) ).
fof(f1962,plain,
( spl5_123
<=> ! [X0,X1] : vplus(X0,X1) != vplus(X0,vplus(v1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_123])]) ).
fof(f660,plain,
( ! [X0,X1] : vplus(X0,X1) != vplus(X0,vplus(v1,X1))
| ~ spl5_11
| ~ spl5_50 ),
inference(superposition,[],[f321,f613]) ).
fof(f1960,plain,
( spl5_122
| ~ spl5_15
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f630,f608,f336,f1958]) ).
fof(f630,plain,
( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
| ~ spl5_15
| ~ spl5_49 ),
inference(superposition,[],[f337,f609]) ).
fof(f1956,plain,
( spl5_121
| ~ spl5_14
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f629,f608,f332,f1954]) ).
fof(f629,plain,
( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2))
| ~ spl5_14
| ~ spl5_49 ),
inference(superposition,[],[f333,f609]) ).
fof(f1952,plain,
( spl5_120
| ~ spl5_12
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f628,f608,f324,f1950]) ).
fof(f628,plain,
( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1))
| ~ spl5_12
| ~ spl5_49 ),
inference(superposition,[],[f325,f609]) ).
fof(f1948,plain,
( spl5_119
| ~ spl5_20
| ~ spl5_28 ),
inference(avatar_split_clause,[],[f475,f426,f360,f1946]) ).
fof(f475,plain,
( ! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) )
| ~ spl5_20
| ~ spl5_28 ),
inference(resolution,[],[f427,f361]) ).
fof(f1944,plain,
( spl5_118
| ~ spl5_23
| ~ spl5_28 ),
inference(avatar_split_clause,[],[f474,f426,f373,f1942]) ).
fof(f1942,plain,
( spl5_118
<=> ! [X0,X1] :
( less(X0,X1)
| X0 = X1
| geq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_118])]) ).
fof(f474,plain,
( ! [X0,X1] :
( less(X0,X1)
| X0 = X1
| geq(X0,X1) )
| ~ spl5_23
| ~ spl5_28 ),
inference(resolution,[],[f427,f374]) ).
fof(f1860,plain,
( spl5_117
| ~ spl5_27
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f544,f508,f416,f1858]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ less(X0,X1)
| leq(vplus(X0,v1),X1) )
| ~ spl5_27
| ~ spl5_43 ),
inference(resolution,[],[f509,f417]) ).
fof(f1856,plain,
( spl5_116
| ~ spl5_25
| ~ spl5_37 ),
inference(avatar_split_clause,[],[f494,f464,f389,f1854]) ).
fof(f494,plain,
( ! [X0,X1] :
( v1 != vplus(X0,X1)
| v1 = X0 )
| ~ spl5_25
| ~ spl5_37 ),
inference(superposition,[],[f390,f465]) ).
fof(f1852,plain,
( spl5_115
| ~ spl5_15
| ~ spl5_33 ),
inference(avatar_split_clause,[],[f487,f447,f336,f1850]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ less(X0,X1)
| less(X0,vplus(X1,X2)) )
| ~ spl5_15
| ~ spl5_33 ),
inference(resolution,[],[f448,f337]) ).
fof(f1848,plain,
( spl5_114
| ~ spl5_24
| ~ spl5_27 ),
inference(avatar_split_clause,[],[f423,f416,f385,f1846]) ).
fof(f423,plain,
( ! [X0,X1] :
( ~ less(X1,vplus(v1,X0))
| leq(X1,X0) )
| ~ spl5_24
| ~ spl5_27 ),
inference(superposition,[],[f417,f386]) ).
fof(f1842,plain,
( spl5_113
| ~ spl5_24
| ~ spl5_26 ),
inference(avatar_split_clause,[],[f420,f412,f385,f1840]) ).
fof(f1840,plain,
( spl5_113
<=> ! [X0,X1] :
( geq(X1,vplus(v1,X0))
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f420,plain,
( ! [X0,X1] :
( geq(X1,vplus(v1,X0))
| ~ greater(X1,X0) )
| ~ spl5_24
| ~ spl5_26 ),
inference(superposition,[],[f413,f386]) ).
fof(f1838,plain,
( spl5_112
| ~ spl5_18
| ~ spl5_26 ),
inference(avatar_split_clause,[],[f419,f412,f352,f1836]) ).
fof(f419,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| leq(vplus(X1,v1),X0) )
| ~ spl5_18
| ~ spl5_26 ),
inference(resolution,[],[f413,f353]) ).
fof(f1707,plain,
( spl5_111
| ~ spl5_21
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f1411,f1195,f364,f1704]) ).
fof(f1411,plain,
( leq(sK0,vmul(vplus(vd411,v1),sK0))
| ~ spl5_21
| ~ spl5_81 ),
inference(resolution,[],[f1197,f365]) ).
fof(f1683,plain,
( spl5_110
| ~ spl5_11
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f710,f616,f320,f1681]) ).
fof(f1681,plain,
( spl5_110
<=> ! [X0,X1] : vmul(X0,vplus(v1,X1)) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_110])]) ).
fof(f710,plain,
( ! [X0,X1] : vmul(X0,vplus(v1,X1)) != X0
| ~ spl5_11
| ~ spl5_51 ),
inference(superposition,[],[f321,f617]) ).
fof(f1679,plain,
( spl5_109
| ~ spl5_15
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f681,f612,f336,f1677]) ).
fof(f1677,plain,
( spl5_109
<=> ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_109])]) ).
fof(f681,plain,
( ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1)))
| ~ spl5_15
| ~ spl5_50 ),
inference(superposition,[],[f337,f613]) ).
fof(f1675,plain,
( spl5_108
| ~ spl5_12
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f679,f612,f324,f1673]) ).
fof(f1673,plain,
( spl5_108
<=> ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_108])]) ).
fof(f679,plain,
( ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0)
| ~ spl5_12
| ~ spl5_50 ),
inference(superposition,[],[f325,f613]) ).
fof(f1671,plain,
( spl5_107
| ~ spl5_15
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f663,f612,f336,f1669]) ).
fof(f1669,plain,
( spl5_107
<=> ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_107])]) ).
fof(f663,plain,
( ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1)))
| ~ spl5_15
| ~ spl5_50 ),
inference(superposition,[],[f337,f613]) ).
fof(f1667,plain,
( spl5_106
| ~ spl5_12
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f661,f612,f324,f1665]) ).
fof(f1665,plain,
( spl5_106
<=> ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_106])]) ).
fof(f661,plain,
( ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1)
| ~ spl5_12
| ~ spl5_50 ),
inference(superposition,[],[f325,f613]) ).
fof(f1663,plain,
( spl5_105
| ~ spl5_11
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f627,f608,f320,f1661]) ).
fof(f1661,plain,
( spl5_105
<=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_105])]) ).
fof(f627,plain,
( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2
| ~ spl5_11
| ~ spl5_49 ),
inference(superposition,[],[f321,f609]) ).
fof(f1659,plain,
( spl5_104
| ~ spl5_11
| ~ spl5_37 ),
inference(avatar_split_clause,[],[f490,f464,f320,f1657]) ).
fof(f1657,plain,
( spl5_104
<=> ! [X0] :
( vskolem2(X0) != X0
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_104])]) ).
fof(f490,plain,
( ! [X0] :
( vskolem2(X0) != X0
| v1 = X0 )
| ~ spl5_11
| ~ spl5_37 ),
inference(superposition,[],[f321,f465]) ).
fof(f1655,plain,
( spl5_103
| ~ spl5_24
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f409,f389,f385,f1653]) ).
fof(f409,plain,
( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0
| ~ spl5_24
| ~ spl5_25 ),
inference(superposition,[],[f390,f386]) ).
fof(f1651,plain,
( spl5_102
| ~ spl5_24
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f407,f389,f385,f1649]) ).
fof(f1649,plain,
( spl5_102
<=> ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_102])]) ).
fof(f407,plain,
( ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0
| ~ spl5_24
| ~ spl5_25 ),
inference(superposition,[],[f390,f386]) ).
fof(f1647,plain,
( ~ spl5_101
| ~ spl5_16
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f1351,f1118,f344,f1644]) ).
fof(f1644,plain,
( spl5_101
<=> less(vmul(vplus(vd411,v1),sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_101])]) ).
fof(f1351,plain,
( ~ less(vmul(vplus(vd411,v1),sK0),sK0)
| ~ spl5_16
| ~ spl5_75 ),
inference(resolution,[],[f1120,f345]) ).
fof(f1631,plain,
( spl5_100
| ~ spl5_15
| ~ spl5_37 ),
inference(avatar_split_clause,[],[f493,f464,f336,f1629]) ).
fof(f1629,plain,
( spl5_100
<=> ! [X0] :
( less(v1,X0)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_100])]) ).
fof(f493,plain,
( ! [X0] :
( less(v1,X0)
| v1 = X0 )
| ~ spl5_15
| ~ spl5_37 ),
inference(superposition,[],[f337,f465]) ).
fof(f1627,plain,
( spl5_99
| ~ spl5_3
| ~ spl5_30 ),
inference(avatar_split_clause,[],[f478,f434,f284,f1625]) ).
fof(f1625,plain,
( spl5_99
<=> ! [X0] :
( greater(X0,v1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_99])]) ).
fof(f478,plain,
( ! [X0] :
( greater(X0,v1)
| v1 = X0 )
| ~ spl5_3
| ~ spl5_30 ),
inference(resolution,[],[f435,f285]) ).
fof(f1545,plain,
( spl5_98
| ~ spl5_12
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f396,f385,f324,f1543]) ).
fof(f1543,plain,
( spl5_98
<=> ! [X0,X1] : greater(vplus(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_98])]) ).
fof(f396,plain,
( ! [X0,X1] : greater(vplus(X1,X0),X0)
| ~ spl5_12
| ~ spl5_24 ),
inference(superposition,[],[f325,f386]) ).
fof(f1541,plain,
( spl5_97
| ~ spl5_23
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f1349,f1118,f373,f1538]) ).
fof(f1538,plain,
( spl5_97
<=> geq(vmul(vplus(vd411,v1),sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_97])]) ).
fof(f1349,plain,
( geq(vmul(vplus(vd411,v1),sK0),sK0)
| ~ spl5_23
| ~ spl5_75 ),
inference(resolution,[],[f1120,f374]) ).
fof(f1536,plain,
( spl5_96
| ~ spl5_15
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f394,f385,f336,f1534]) ).
fof(f394,plain,
( ! [X0,X1] : less(X0,vplus(X1,X0))
| ~ spl5_15
| ~ spl5_24 ),
inference(superposition,[],[f337,f386]) ).
fof(f1532,plain,
( spl5_95
| ~ spl5_12
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f383,f373,f324,f1530]) ).
fof(f383,plain,
( ! [X0,X1] : geq(vplus(X0,X1),X0)
| ~ spl5_12
| ~ spl5_23 ),
inference(resolution,[],[f374,f325]) ).
fof(f1528,plain,
( spl5_94
| ~ spl5_15
| ~ spl5_21 ),
inference(avatar_split_clause,[],[f382,f364,f336,f1526]) ).
fof(f382,plain,
( ! [X0,X1] : leq(X0,vplus(X0,X1))
| ~ spl5_15
| ~ spl5_21 ),
inference(resolution,[],[f365,f337]) ).
fof(f1524,plain,
( spl5_93
| ~ spl5_12
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f376,f344,f324,f1522]) ).
fof(f376,plain,
( ! [X0,X1] : ~ less(vplus(X0,X1),X0)
| ~ spl5_12
| ~ spl5_16 ),
inference(resolution,[],[f345,f325]) ).
fof(f1379,plain,
( spl5_92
| ~ spl5_2
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f836,f752,f279,f1377]) ).
fof(f836,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0) )
| ~ spl5_2
| ~ spl5_55 ),
inference(superposition,[],[f753,f281]) ).
fof(f1375,plain,
( spl5_91
| ~ spl5_2
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f828,f752,f279,f1373]) ).
fof(f828,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1) )
| ~ spl5_2
| ~ spl5_55 ),
inference(superposition,[],[f753,f281]) ).
fof(f1371,plain,
( spl5_90
| ~ spl5_2
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f813,f748,f279,f1369]) ).
fof(f813,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0) )
| ~ spl5_2
| ~ spl5_54 ),
inference(superposition,[],[f749,f281]) ).
fof(f1367,plain,
( spl5_89
| ~ spl5_2
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f805,f748,f279,f1365]) ).
fof(f805,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1) )
| ~ spl5_2
| ~ spl5_54 ),
inference(superposition,[],[f749,f281]) ).
fof(f1363,plain,
( spl5_88
| ~ spl5_2
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f790,f744,f279,f1361]) ).
fof(f790,plain,
( ! [X0,X1] :
( greater(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0))
| ~ greater(X1,sK0) )
| ~ spl5_2
| ~ spl5_53 ),
inference(superposition,[],[f745,f281]) ).
fof(f1359,plain,
( spl5_87
| ~ spl5_2
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f782,f744,f279,f1357]) ).
fof(f782,plain,
( ! [X0,X1] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ greater(vmul(vd411,sK0),X0)
| ~ greater(sK0,X1) )
| ~ spl5_2
| ~ spl5_53 ),
inference(superposition,[],[f745,f281]) ).
fof(f1355,plain,
( spl5_86
| ~ spl5_2
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f768,f740,f279,f1353]) ).
fof(f768,plain,
( ! [X0,X1] :
( geq(vplus(X0,X1),vmul(vplus(vd411,v1),sK0))
| ~ geq(X0,vmul(vd411,sK0))
| ~ geq(X1,sK0) )
| ~ spl5_2
| ~ spl5_52 ),
inference(superposition,[],[f741,f281]) ).
fof(f1347,plain,
( spl5_85
| ~ spl5_2
| ~ spl5_52 ),
inference(avatar_split_clause,[],[f760,f740,f279,f1345]) ).
fof(f760,plain,
( ! [X0,X1] :
( geq(vmul(vplus(vd411,v1),sK0),vplus(X0,X1))
| ~ geq(vmul(vd411,sK0),X0)
| ~ geq(sK0,X1) )
| ~ spl5_2
| ~ spl5_52 ),
inference(superposition,[],[f741,f281]) ).
fof(f1343,plain,
( ~ spl5_84
| spl5_9
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f399,f385,f311,f1340]) ).
fof(f399,plain,
( vplus(vplus(sK0,v1),vmul(vd411,vplus(sK0,v1))) != vmul(vplus(vd411,v1),vplus(sK0,v1))
| spl5_9
| ~ spl5_24 ),
inference(superposition,[],[f313,f386]) ).
fof(f313,plain,
( vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) != vmul(vplus(vd411,v1),vplus(sK0,v1))
| spl5_9 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f1240,plain,
( spl5_83
| ~ spl5_24
| ~ spl5_49
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f1236,f1233,f608,f385,f1238]) ).
fof(f1233,plain,
( spl5_82
<=> ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(vmul(vd411,sK0),vplus(sK0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f1236,plain,
( ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(sK0,vplus(X0,vmul(vd411,sK0)))
| ~ spl5_24
| ~ spl5_49
| ~ spl5_82 ),
inference(forward_demodulation,[],[f1234,f624]) ).
fof(f1234,plain,
( ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(vmul(vd411,sK0),vplus(sK0,X0))
| ~ spl5_82 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1235,plain,
( spl5_82
| ~ spl5_2
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f621,f608,f279,f1233]) ).
fof(f621,plain,
( ! [X0] : vplus(vmul(vplus(vd411,v1),sK0),X0) = vplus(vmul(vd411,sK0),vplus(sK0,X0))
| ~ spl5_2
| ~ spl5_49 ),
inference(superposition,[],[f609,f281]) ).
fof(f1198,plain,
( spl5_81
| ~ spl5_15
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1042,f1022,f336,f1195]) ).
fof(f1042,plain,
( less(sK0,vmul(vplus(vd411,v1),sK0))
| ~ spl5_15
| ~ spl5_66 ),
inference(superposition,[],[f337,f1024]) ).
fof(f1141,plain,
( spl5_80
| ~ spl5_2
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f599,f529,f279,f1139]) ).
fof(f599,plain,
( ! [X0] :
( ~ greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| greater(X0,vmul(vd411,sK0)) )
| ~ spl5_2
| ~ spl5_48 ),
inference(superposition,[],[f530,f281]) ).
fof(f1137,plain,
( spl5_79
| ~ spl5_2
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f595,f529,f279,f1135]) ).
fof(f595,plain,
( ! [X0] :
( ~ greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| greater(vmul(vd411,sK0),X0) )
| ~ spl5_2
| ~ spl5_48 ),
inference(superposition,[],[f530,f281]) ).
fof(f1133,plain,
( spl5_78
| ~ spl5_2
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f588,f525,f279,f1131]) ).
fof(f588,plain,
( ! [X0] :
( ~ less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| less(X0,vmul(vd411,sK0)) )
| ~ spl5_2
| ~ spl5_47 ),
inference(superposition,[],[f526,f281]) ).
fof(f1129,plain,
( spl5_77
| ~ spl5_2
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f584,f525,f279,f1127]) ).
fof(f584,plain,
( ! [X0] :
( ~ less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| less(vmul(vd411,sK0),X0) )
| ~ spl5_2
| ~ spl5_47 ),
inference(superposition,[],[f526,f281]) ).
fof(f1125,plain,
( spl5_76
| ~ spl5_2
| ~ spl5_45 ),
inference(avatar_split_clause,[],[f573,f516,f279,f1123]) ).
fof(f573,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(X0,sK0)
| vmul(vd411,sK0) = X0 )
| ~ spl5_2
| ~ spl5_45 ),
inference(superposition,[],[f517,f281]) ).
fof(f1121,plain,
( spl5_75
| ~ spl5_12
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f1040,f1022,f324,f1118]) ).
fof(f1040,plain,
( greater(vmul(vplus(vd411,v1),sK0),sK0)
| ~ spl5_12
| ~ spl5_66 ),
inference(superposition,[],[f325,f1024]) ).
fof(f1116,plain,
( spl5_74
| ~ spl5_2
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f568,f512,f279,f1114]) ).
fof(f568,plain,
( ! [X0] :
( greater(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| ~ greater(X0,vmul(vd411,sK0)) )
| ~ spl5_2
| ~ spl5_44 ),
inference(superposition,[],[f513,f281]) ).
fof(f1112,plain,
( spl5_73
| ~ spl5_2
| ~ spl5_44 ),
inference(avatar_split_clause,[],[f564,f512,f279,f1110]) ).
fof(f564,plain,
( ! [X0] :
( greater(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| ~ greater(vmul(vd411,sK0),X0) )
| ~ spl5_2
| ~ spl5_44 ),
inference(superposition,[],[f513,f281]) ).
fof(f1108,plain,
( spl5_72
| ~ spl5_2
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f554,f508,f279,f1106]) ).
fof(f554,plain,
( ! [X0] :
( less(vplus(X0,sK0),vmul(vplus(vd411,v1),sK0))
| ~ less(X0,vmul(vd411,sK0)) )
| ~ spl5_2
| ~ spl5_43 ),
inference(superposition,[],[f509,f281]) ).
fof(f1104,plain,
( spl5_71
| ~ spl5_2
| ~ spl5_43 ),
inference(avatar_split_clause,[],[f550,f508,f279,f1102]) ).
fof(f550,plain,
( ! [X0] :
( less(vmul(vplus(vd411,v1),sK0),vplus(X0,sK0))
| ~ less(vmul(vd411,sK0),X0) )
| ~ spl5_2
| ~ spl5_43 ),
inference(superposition,[],[f509,f281]) ).
fof(f1100,plain,
( spl5_70
| ~ spl5_2
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f532,f496,f279,f1098]) ).
fof(f532,plain,
( ! [X0] :
( vmul(vplus(vd411,v1),sK0) != vplus(vmul(vd411,sK0),X0)
| sK0 = X0 )
| ~ spl5_2
| ~ spl5_40 ),
inference(superposition,[],[f497,f281]) ).
fof(f1091,plain,
( spl5_69
| ~ spl5_3
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f378,f352,f284,f1089]) ).
fof(f378,plain,
( ! [X0] : leq(v1,X0)
| ~ spl5_3
| ~ spl5_18 ),
inference(resolution,[],[f353,f285]) ).
fof(f1034,plain,
( spl5_68
| ~ spl5_2
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f406,f389,f279,f1032]) ).
fof(f406,plain,
( ! [X0] : vmul(vd411,sK0) != vplus(vmul(vplus(vd411,v1),sK0),X0)
| ~ spl5_2
| ~ spl5_25 ),
inference(superposition,[],[f390,f281]) ).
fof(f1030,plain,
( spl5_67
| ~ spl5_23
| ~ spl5_32 ),
inference(avatar_split_clause,[],[f604,f442,f373,f1027]) ).
fof(f1027,plain,
( spl5_67
<=> geq(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
fof(f604,plain,
( geq(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0))
| ~ spl5_23
| ~ spl5_32 ),
inference(resolution,[],[f444,f374]) ).
fof(f1025,plain,
( spl5_66
| ~ spl5_2
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f392,f385,f279,f1022]) ).
fof(f392,plain,
( vmul(vplus(vd411,v1),sK0) = vplus(sK0,vmul(vd411,sK0))
| ~ spl5_2
| ~ spl5_24 ),
inference(superposition,[],[f386,f281]) ).
fof(f989,plain,
( spl5_65
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f941,f931,f612,f608,f385,f987]) ).
fof(f931,plain,
( spl5_59
<=> ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(v1,X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
fof(f941,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X0))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_59 ),
inference(inner_rewriting,[],[f940]) ).
fof(f940,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vd411,vplus(v1,vplus(X0,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_59 ),
inference(forward_demodulation,[],[f939,f386]) ).
fof(f939,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),X0) != vmul(vplus(vd411,v1),X0)
| vplus(vd411,vplus(v1,vplus(X0,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_59 ),
inference(forward_demodulation,[],[f938,f386]) ).
fof(f938,plain,
( ! [X0] :
( vplus(vd411,vplus(v1,vplus(X0,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_59 ),
inference(forward_demodulation,[],[f937,f624]) ).
fof(f937,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vd411,vplus(v1,vplus(X0,vmul(vd411,X0))))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_59 ),
inference(forward_demodulation,[],[f936,f386]) ).
fof(f936,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vd411,vplus(v1,vplus(vmul(vd411,X0),X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_59 ),
inference(forward_demodulation,[],[f935,f613]) ).
fof(f935,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vd411,vplus(vmul(vd411,X0),vplus(v1,X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_59 ),
inference(forward_demodulation,[],[f934,f386]) ).
fof(f934,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vd411,vplus(vplus(v1,X0),vmul(vd411,X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_59 ),
inference(forward_demodulation,[],[f932,f624]) ).
fof(f932,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(v1,X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_59 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f985,plain,
( spl5_64
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f929,f921,f612,f608,f385,f983]) ).
fof(f921,plain,
( spl5_58
<=> ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vplus(v1,vd411),X0))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
fof(f929,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(X0,vplus(vd411,vplus(v1,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_58 ),
inference(forward_demodulation,[],[f928,f386]) ).
fof(f928,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),X0) != vmul(vplus(vd411,v1),X0)
| vplus(X0,vplus(vd411,vplus(v1,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_58 ),
inference(forward_demodulation,[],[f927,f386]) ).
fof(f927,plain,
( ! [X0] :
( vplus(X0,vplus(vd411,vplus(v1,vmul(vd411,X0)))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(X0,v1)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_58 ),
inference(forward_demodulation,[],[f926,f624]) ).
fof(f926,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(X0,vplus(vd411,vplus(v1,vmul(vd411,X0))))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_58 ),
inference(forward_demodulation,[],[f925,f624]) ).
fof(f925,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(X0,vplus(v1,vplus(vmul(vd411,X0),vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_58 ),
inference(forward_demodulation,[],[f924,f613]) ).
fof(f924,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(X0,vplus(vmul(vd411,X0),vplus(v1,vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_58 ),
inference(forward_demodulation,[],[f922,f624]) ).
fof(f922,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vplus(v1,vd411),X0))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f981,plain,
( spl5_63
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f919,f909,f612,f608,f385,f979]) ).
fof(f909,plain,
( spl5_57
<=> ! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vplus(vmul(vd411,X0),vd411),vplus(v1,X0))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f919,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X0))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_57 ),
inference(inner_rewriting,[],[f918]) ).
fof(f918,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(v1,vplus(X0,vmul(vd411,X0)))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_57 ),
inference(forward_demodulation,[],[f917,f386]) ).
fof(f917,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),X0) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(v1,vplus(X0,vmul(vd411,X0)))) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_57 ),
inference(forward_demodulation,[],[f916,f386]) ).
fof(f916,plain,
( ! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(v1,vplus(X0,vmul(vd411,X0))))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_57 ),
inference(forward_demodulation,[],[f915,f386]) ).
fof(f915,plain,
( ! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(v1,vplus(vmul(vd411,X0),X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_50
| ~ spl5_57 ),
inference(forward_demodulation,[],[f914,f613]) ).
fof(f914,plain,
( ! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(vmul(vd411,X0),vplus(v1,X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_57 ),
inference(forward_demodulation,[],[f913,f386]) ).
fof(f913,plain,
( ! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vd411,vplus(vplus(v1,X0),vmul(vd411,X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_49
| ~ spl5_57 ),
inference(forward_demodulation,[],[f912,f624]) ).
fof(f912,plain,
( ! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vplus(v1,X0),vplus(vmul(vd411,X0),vd411))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_57 ),
inference(forward_demodulation,[],[f910,f386]) ).
fof(f910,plain,
( ! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vplus(vmul(vd411,X0),vd411),vplus(v1,X0))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_57 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f969,plain,
( spl5_62
| ~ spl5_24
| ~ spl5_51
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f965,f959,f616,f385,f967]) ).
fof(f959,plain,
( spl5_61
<=> ! [X0] :
( vplus(vmul(vplus(v1,vd411),X0),vplus(v1,vd411)) = vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f965,plain,
( ! [X0] :
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,X0),vplus(X0,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,X0)) )
| ~ spl5_24
| ~ spl5_51
| ~ spl5_61 ),
inference(forward_demodulation,[],[f964,f386]) ).
fof(f964,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),X0) != vmul(vplus(vd411,v1),X0)
| vplus(vmul(vd411,X0),vplus(X0,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,X0)) )
| ~ spl5_24
| ~ spl5_51
| ~ spl5_61 ),
inference(forward_demodulation,[],[f963,f386]) ).
fof(f963,plain,
( ! [X0] :
( vplus(vmul(vd411,X0),vplus(X0,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(v1,X0))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_51
| ~ spl5_61 ),
inference(forward_demodulation,[],[f962,f617]) ).
fof(f962,plain,
( ! [X0] :
( vplus(vmul(vplus(vd411,v1),X0),vplus(vd411,v1)) = vplus(vmul(vd411,X0),vplus(X0,vplus(vd411,v1)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_24
| ~ spl5_61 ),
inference(forward_demodulation,[],[f960,f386]) ).
fof(f960,plain,
( ! [X0] :
( vplus(vmul(vplus(v1,vd411),X0),vplus(v1,vd411)) = vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) )
| ~ spl5_61 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f961,plain,
spl5_61,
inference(avatar_split_clause,[],[f271,f959]) ).
fof(f271,plain,
! [X0] :
( vplus(vmul(vplus(v1,vd411),X0),vplus(v1,vd411)) = vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ),
inference(inner_rewriting,[],[f250]) ).
fof(f250,plain,
! [X0] :
( vplus(vplus(vmul(vd411,X0),X0),vplus(v1,vd411)) = vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ),
inference(definition_unfolding,[],[f184,f178,f178,f178]) ).
fof(f178,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X72] : vplus(v1,X72) = vsucc(X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f184,plain,
! [X0] :
( vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411)))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411)))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1] :
( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
=> vplus(vmul(vd411,X1),vplus(X1,vsucc(vd411))) = vplus(vplus(vmul(vd411,X1),X1),vsucc(vd411)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 5)') ).
fof(f945,plain,
spl5_60,
inference(avatar_split_clause,[],[f252,f943]) ).
fof(f943,plain,
( spl5_60
<=> ! [X0] :
( vplus(vmul(vd411,X0),vplus(vplus(v1,vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f252,plain,
! [X0] :
( vplus(vmul(vd411,X0),vplus(vplus(v1,vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vplus(v1,vd411)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ),
inference(definition_unfolding,[],[f186,f178,f178,f178]) ).
fof(f186,plain,
! [X0] :
( vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411)))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411)))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1] :
( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
=> vplus(vmul(vd411,X1),vplus(vsucc(vd411),X1)) = vplus(vmul(vd411,X1),vplus(X1,vsucc(vd411))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 4)') ).
fof(f933,plain,
spl5_59,
inference(avatar_split_clause,[],[f251,f931]) ).
fof(f251,plain,
! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vplus(v1,X0)))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ),
inference(definition_unfolding,[],[f185,f178,f178,f178]) ).
fof(f185,plain,
! [X0] :
( vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0)))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0)))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1] :
( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
=> vplus(vmul(vd411,X1),vplus(vd411,vsucc(X1))) = vplus(vmul(vd411,X1),vsucc(vplus(vd411,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 2)') ).
fof(f923,plain,
spl5_58,
inference(avatar_split_clause,[],[f249,f921]) ).
fof(f249,plain,
! [X0] :
( vplus(vmul(vd411,X0),vplus(v1,vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vplus(v1,vd411),X0))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ),
inference(definition_unfolding,[],[f183,f178,f178,f178]) ).
fof(f183,plain,
! [X0] :
( vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] :
( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
=> vplus(vmul(vd411,X1),vsucc(vplus(vd411,X1))) = vplus(vmul(vd411,X1),vplus(vsucc(vd411),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 3)') ).
fof(f911,plain,
spl5_57,
inference(avatar_split_clause,[],[f247,f909]) ).
fof(f247,plain,
! [X0] :
( vplus(vmul(vd411,vplus(v1,X0)),vplus(v1,X0)) = vplus(vplus(vmul(vd411,X0),vd411),vplus(v1,X0))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ),
inference(definition_unfolding,[],[f181,f178,f178,f178,f178]) ).
fof(f181,plain,
! [X0] :
( vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1] :
( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
=> vplus(vplus(vmul(vd411,X1),vd411),vsucc(X1)) = vplus(vmul(vd411,vsucc(X1)),vsucc(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 0)') ).
fof(f845,plain,
spl5_56,
inference(avatar_split_clause,[],[f202,f843]) ).
fof(f202,plain,
! [X0,X1] :
( vplus(X0,sK1(X0,X1)) = X1
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( vplus(X0,sK1(X0,X1)) = X1
| vplus(X1,sK2(X0,X1)) = X0
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f86,f155,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK1(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK2(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X59,X60] :
( ? [X62] : vplus(X59,X62) = X60
| ? [X61] : vplus(X60,X61) = X59
| X59 = X60 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f754,plain,
spl5_55,
inference(avatar_split_clause,[],[f237,f752]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ geq(X2,X3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ( ( ~ greater(X0,X1)
| ~ geq(X2,X3) )
& ( ~ geq(X0,X1)
| ~ greater(X2,X3) ) ) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ( ( greater(X0,X1)
& geq(X2,X3) )
| ( geq(X0,X1)
& greater(X2,X3) ) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X14,X15,X16,X17] :
( ( ( greater(X14,X15)
& geq(X16,X17) )
| ( geq(X14,X15)
& greater(X16,X17) ) )
=> greater(vplus(X14,X16),vplus(X15,X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof(f750,plain,
spl5_54,
inference(avatar_split_clause,[],[f236,f748]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ greater(X2,X3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f746,plain,
spl5_53,
inference(avatar_split_clause,[],[f235,f744]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ( greater(X0,X1)
& greater(X2,X3) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X18,X19,X20,X21] :
( ( greater(X18,X19)
& greater(X20,X21) )
=> greater(vplus(X18,X20),vplus(X19,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof(f742,plain,
spl5_52,
inference(avatar_split_clause,[],[f234,f740]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( geq(vplus(X0,X2),vplus(X1,X3))
| ~ geq(X0,X1)
| ~ geq(X2,X3) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ( geq(X0,X1)
& geq(X2,X3) )
=> geq(vplus(X0,X2),vplus(X1,X3)) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X10,X11,X12,X13] :
( ( geq(X10,X11)
& geq(X12,X13) )
=> geq(vplus(X10,X12),vplus(X11,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof(f618,plain,
spl5_51,
inference(avatar_split_clause,[],[f257,f616]) ).
fof(f257,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f194,f178]) ).
fof(f194,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( vmul(X3,v1) = X3
& vmul(X3,vsucc(X4)) = vplus(vmul(X3,X4),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f614,plain,
spl5_50,
inference(avatar_split_clause,[],[f256,f612]) ).
fof(f256,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f192,f178,f178]) ).
fof(f192,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X76,X77] :
( vplus(X76,v1) = vsucc(X76)
& vplus(X76,vsucc(X77)) = vsucc(vplus(X76,X77)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f610,plain,
spl5_49,
inference(avatar_split_clause,[],[f223,f608]) ).
fof(f531,plain,
spl5_48,
inference(avatar_split_clause,[],[f229,f529]) ).
fof(f229,plain,
! [X2,X0,X1] :
( greater(X0,X1)
| ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( greater(X0,X1)
| ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
=> greater(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X22,X23,X24] :
( greater(vplus(X22,X24),vplus(X23,X24))
=> greater(X22,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof(f527,plain,
spl5_47,
inference(avatar_split_clause,[],[f228,f525]) ).
fof(f228,plain,
! [X2,X0,X1] :
( less(X0,X1)
| ~ less(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( less(X0,X1)
| ~ less(vplus(X0,X2),vplus(X1,X2)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
=> less(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X22,X23,X24] :
( less(vplus(X22,X24),vplus(X23,X24))
=> less(X22,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof(f523,plain,
( spl5_46
| ~ spl5_2
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f342,f336,f279,f520]) ).
fof(f342,plain,
( less(vmul(vd411,sK0),vmul(vplus(vd411,v1),sK0))
| ~ spl5_2
| ~ spl5_15 ),
inference(superposition,[],[f337,f281]) ).
fof(f518,plain,
spl5_45,
inference(avatar_split_clause,[],[f227,f516]) ).
fof(f227,plain,
! [X2,X0,X1] :
( X0 = X1
| vplus(X1,X2) != vplus(X0,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( X0 = X1
| vplus(X1,X2) != vplus(X0,X2) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( vplus(X1,X2) = vplus(X0,X2)
=> X0 = X1 ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X22,X23,X24] :
( vplus(X22,X24) = vplus(X23,X24)
=> X22 = X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof(f514,plain,
spl5_44,
inference(avatar_split_clause,[],[f226,f512]) ).
fof(f226,plain,
! [X2,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X25,X26,X27] :
( greater(X25,X26)
=> greater(vplus(X25,X27),vplus(X26,X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f510,plain,
spl5_43,
inference(avatar_split_clause,[],[f225,f508]) ).
fof(f225,plain,
! [X2,X0,X1] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( less(X0,X1)
=> less(vplus(X0,X2),vplus(X1,X2)) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X25,X26,X27] :
( less(X25,X26)
=> less(vplus(X25,X27),vplus(X26,X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof(f506,plain,
spl5_42,
inference(avatar_split_clause,[],[f221,f504]) ).
fof(f221,plain,
! [X0,X1] :
( vplus(X0,sK4(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK4(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f166,f167]) ).
fof(f167,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK4(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X56,X57] :
( greater(X57,X56)
<=> ? [X58] : vplus(X56,X58) = X57 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f502,plain,
spl5_41,
inference(avatar_split_clause,[],[f219,f500]) ).
fof(f219,plain,
! [X0,X1] :
( vplus(X1,sK3(X0,X1)) = X0
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( vplus(X1,sK3(X0,X1)) = X0
| ~ less(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f162,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK3(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : vplus(X1,X2) = X0 ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X53,X54] :
( less(X54,X53)
<=> ? [X55] : vplus(X54,X55) = X53 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f498,plain,
spl5_40,
inference(avatar_split_clause,[],[f205,f496]) ).
fof(f205,plain,
! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X63,X64] :
( X63 != X64
=> ! [X65] : vplus(X65,X63) != vplus(X65,X64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f486,plain,
( ~ spl5_39
| ~ spl5_2
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f341,f332,f279,f483]) ).
fof(f483,plain,
( spl5_39
<=> vmul(vd411,sK0) = vmul(vplus(vd411,v1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f341,plain,
( vmul(vd411,sK0) != vmul(vplus(vd411,v1),sK0)
| ~ spl5_2
| ~ spl5_14 ),
inference(superposition,[],[f333,f281]) ).
fof(f471,plain,
spl5_38,
inference(avatar_split_clause,[],[f270,f468]) ).
fof(f468,plain,
( spl5_38
<=> vplus(vmul(vd411,v1),v1) = vplus(v1,vd411) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f270,plain,
vplus(vmul(vd411,v1),v1) = vplus(v1,vd411),
inference(forward_demodulation,[],[f242,f240]) ).
fof(f240,plain,
vplus(v1,vd411) = vplus(v1,vmul(vd411,v1)),
inference(definition_unfolding,[],[f171,f178,f178]) ).
fof(f171,plain,
vsucc(vd411) = vsucc(vmul(vd411,v1)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
vsucc(vd411) = vsucc(vmul(vd411,v1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(264, 412, 1)') ).
fof(f242,plain,
vplus(vmul(vd411,v1),v1) = vplus(v1,vmul(vd411,v1)),
inference(definition_unfolding,[],[f173,f178]) ).
fof(f173,plain,
vsucc(vmul(vd411,v1)) = vplus(vmul(vd411,v1),v1),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
vsucc(vmul(vd411,v1)) = vplus(vmul(vd411,v1),v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(264, 412, 2)') ).
fof(f466,plain,
spl5_37,
inference(avatar_split_clause,[],[f245,f464]) ).
fof(f245,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f179,f178]) ).
fof(f179,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X78] :
( v1 != X78
=> vsucc(vskolem2(X78)) = X78 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f462,plain,
spl5_36,
inference(avatar_split_clause,[],[f240,f459]) ).
fof(f459,plain,
( spl5_36
<=> vplus(v1,vd411) = vplus(v1,vmul(vd411,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f457,plain,
spl5_35,
inference(avatar_split_clause,[],[f233,f455]) ).
fof(f455,plain,
( spl5_35
<=> ! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f233,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ( ( ~ less(X0,X1)
| ~ leq(X1,X2) )
& ( ~ leq(X0,X1)
| ~ less(X1,X2) ) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( ( less(X0,X1)
& leq(X1,X2) )
| ( leq(X0,X1)
& less(X1,X2) ) )
=> less(X0,X2) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X33,X34,X35] :
( ( ( less(X33,X34)
& leq(X34,X35) )
| ( leq(X33,X34)
& less(X34,X35) ) )
=> less(X33,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof(f453,plain,
spl5_34,
inference(avatar_split_clause,[],[f232,f451]) ).
fof(f232,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ leq(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f449,plain,
spl5_33,
inference(avatar_split_clause,[],[f231,f447]) ).
fof(f231,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X36,X37,X38] :
( ( less(X36,X37)
& less(X37,X38) )
=> less(X36,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f445,plain,
( spl5_32
| ~ spl5_2
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f340,f324,f279,f442]) ).
fof(f340,plain,
( greater(vmul(vplus(vd411,v1),sK0),vmul(vd411,sK0))
| ~ spl5_2
| ~ spl5_12 ),
inference(superposition,[],[f325,f281]) ).
fof(f440,plain,
spl5_31,
inference(avatar_split_clause,[],[f230,f438]) ).
fof(f230,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X30,X31,X32] :
( ( leq(X30,X31)
& leq(X31,X32) )
=> leq(X30,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof(f436,plain,
spl5_30,
inference(avatar_split_clause,[],[f216,f434]) ).
fof(f216,plain,
! [X0,X1] :
( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X45,X46] :
( geq(X46,X45)
<=> ( X45 = X46
| greater(X46,X45) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f432,plain,
spl5_29,
inference(avatar_split_clause,[],[f213,f430]) ).
fof(f430,plain,
( spl5_29
<=> ! [X0,X1] :
( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f213,plain,
! [X0,X1] :
( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( leq(X1,X0)
<=> ( X0 = X1
| less(X1,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X43,X44] :
( leq(X44,X43)
<=> ( X43 = X44
| less(X44,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f428,plain,
spl5_28,
inference(avatar_split_clause,[],[f201,f426]) ).
fof(f201,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X51,X52] :
( less(X51,X52)
| greater(X51,X52)
| X51 = X52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f418,plain,
spl5_27,
inference(avatar_split_clause,[],[f212,f416]) ).
fof(f212,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,vplus(X1,v1)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ less(X0,vplus(X1,v1)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( less(X0,vplus(X1,v1))
=> leq(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( less(X5,vplus(X6,v1))
=> leq(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof(f414,plain,
spl5_26,
inference(avatar_split_clause,[],[f210,f412]) ).
fof(f210,plain,
! [X0,X1] :
( geq(X0,vplus(X1,v1))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( geq(X0,vplus(X1,v1))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( greater(X0,X1)
=> geq(X0,vplus(X1,v1)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X7,X8] :
( greater(X7,X8)
=> geq(X7,vplus(X8,v1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof(f391,plain,
spl5_25,
inference(avatar_split_clause,[],[f264,f389]) ).
fof(f264,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X59,X60] :
( ~ ? [X62] : vplus(X59,X62) = X60
| ~ ? [X61] : vplus(X60,X61) = X59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f387,plain,
spl5_24,
inference(avatar_split_clause,[],[f190,f385]) ).
fof(f190,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X68,X69] : vplus(X69,X68) = vplus(X68,X69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f375,plain,
spl5_23,
inference(avatar_split_clause,[],[f217,f373]) ).
fof(f217,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f371,plain,
( ~ spl5_22
| ~ spl5_2
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f339,f320,f279,f368]) ).
fof(f339,plain,
( sK0 != vmul(vplus(vd411,v1),sK0)
| ~ spl5_2
| ~ spl5_11 ),
inference(superposition,[],[f321,f281]) ).
fof(f366,plain,
spl5_21,
inference(avatar_split_clause,[],[f214,f364]) ).
fof(f214,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f362,plain,
spl5_20,
inference(avatar_split_clause,[],[f209,f360]) ).
fof(f209,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X49,X50] :
( greater(X49,X50)
=> less(X50,X49) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f358,plain,
spl5_19,
inference(avatar_split_clause,[],[f208,f356]) ).
fof(f208,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X47,X48] :
( less(X47,X48)
=> greater(X48,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f354,plain,
spl5_18,
inference(avatar_split_clause,[],[f207,f352]) ).
fof(f207,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X41,X42] :
( geq(X41,X42)
=> leq(X42,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof(f350,plain,
spl5_17,
inference(avatar_split_clause,[],[f206,f348]) ).
fof(f206,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( leq(X0,X1)
=> geq(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X39,X40] :
( leq(X39,X40)
=> geq(X40,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof(f346,plain,
spl5_16,
inference(avatar_split_clause,[],[f200,f344]) ).
fof(f200,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X51,X52] :
( ~ less(X51,X52)
| ~ greater(X51,X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f338,plain,
spl5_15,
inference(avatar_split_clause,[],[f267,f336]) ).
fof(f267,plain,
! [X2,X1] : less(X1,vplus(X1,X2)),
inference(equality_resolution,[],[f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( less(X1,X0)
| vplus(X1,X2) != X0 ),
inference(cnf_transformation,[],[f164]) ).
fof(f334,plain,
spl5_14,
inference(avatar_split_clause,[],[f262,f332]) ).
fof(f262,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X59,X60] :
( ~ ? [X61] : vplus(X60,X61) = X59
| X59 != X60 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f330,plain,
spl5_13,
inference(avatar_split_clause,[],[f195,f328]) ).
fof(f195,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f79]) ).
fof(f326,plain,
spl5_12,
inference(avatar_split_clause,[],[f189,f324]) ).
fof(f189,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X28,X29] : greater(vplus(X28,X29),X28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof(f322,plain,
spl5_11,
inference(avatar_split_clause,[],[f188,f320]) ).
fof(f188,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X66,X67] : vplus(X66,X67) != X67,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f318,plain,
spl5_10,
inference(avatar_split_clause,[],[f177,f316]) ).
fof(f177,plain,
! [X0] : vmul(v1,X0) = X0,
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] : vmul(v1,X0) = X0,
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2] : vmul(v1,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof(f314,plain,
( ~ spl5_9
| spl5_8 ),
inference(avatar_split_clause,[],[f309,f304,f311]) ).
fof(f304,plain,
( spl5_8
<=> vmul(vplus(v1,vd411),vplus(v1,sK0)) = vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f309,plain,
( vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) != vmul(vplus(vd411,v1),vplus(sK0,v1))
| spl5_8 ),
inference(forward_demodulation,[],[f308,f190]) ).
fof(f308,plain,
( vmul(vplus(v1,vd411),vplus(sK0,v1)) != vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1))
| spl5_8 ),
inference(forward_demodulation,[],[f306,f190]) ).
fof(f306,plain,
( vmul(vplus(v1,vd411),vplus(v1,sK0)) != vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0))
| spl5_8 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,plain,
~ spl5_8,
inference(avatar_split_clause,[],[f238,f304]) ).
fof(f238,plain,
vmul(vplus(v1,vd411),vplus(v1,sK0)) != vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)),
inference(definition_unfolding,[],[f170,f178,f178,f178,f178]) ).
fof(f170,plain,
vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0))
& vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f114,f152]) ).
fof(f152,plain,
( ? [X0] :
( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
& vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) )
=> ( vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0))
& vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0] :
( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
& vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).
fof(f302,plain,
spl5_7,
inference(avatar_split_clause,[],[f266,f300]) ).
fof(f300,plain,
( spl5_7
<=> ! [X1] : geq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f266,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( geq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f298,plain,
spl5_6,
inference(avatar_split_clause,[],[f265,f296]) ).
fof(f265,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f294,plain,
spl5_5,
inference(avatar_split_clause,[],[f261,f292]) ).
fof(f292,plain,
( spl5_5
<=> ! [X1] : ~ greater(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f261,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X51,X52] :
( ~ greater(X51,X52)
| X51 != X52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f290,plain,
spl5_4,
inference(avatar_split_clause,[],[f260,f288]) ).
fof(f288,plain,
( spl5_4
<=> ! [X1] : ~ less(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f260,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X51,X52] :
( ~ less(X51,X52)
| X51 != X52 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f286,plain,
spl5_3,
inference(avatar_split_clause,[],[f174,f284]) ).
fof(f174,plain,
! [X0] : geq(X0,v1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] : geq(X0,v1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X9] : geq(X9,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof(f282,plain,
( spl5_2
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f277,f273,f279]) ).
fof(f273,plain,
( spl5_1
<=> vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f277,plain,
( vplus(vmul(vd411,sK0),sK0) = vmul(vplus(vd411,v1),sK0)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f275,f190]) ).
fof(f275,plain,
( vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
spl5_1,
inference(avatar_split_clause,[],[f239,f273]) ).
fof(f239,plain,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
inference(definition_unfolding,[],[f169,f178]) ).
fof(f169,plain,
vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0),
inference(cnf_transformation,[],[f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 14:03:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (17671)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (17682)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.39 % (17678)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39 % (17677)WARNING: value z3 for option sas not known
% 0.20/0.39 % (17676)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39 % (17675)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39 % (17681)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.39 % (17677)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.40 % (17680)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.40 TRYING [1]
% 0.20/0.40 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.44 TRYING [4]
% 0.20/0.44 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.47 TRYING [3]
% 0.20/0.51 TRYING [5]
% 1.41/0.61 TRYING [4]
% 1.41/0.63 TRYING [6]
% 1.41/0.63 TRYING [1]
% 1.41/0.63 TRYING [2]
% 1.41/0.63 TRYING [3]
% 2.07/0.65 TRYING [4]
% 2.38/0.71 TRYING [5]
% 3.17/0.83 TRYING [5]
% 3.17/0.83 TRYING [6]
% 3.52/0.90 TRYING [7]
% 5.01/1.12 TRYING [7]
% 6.44/1.32 TRYING [6]
% 7.51/1.45 TRYING [8]
% 8.55/1.64 TRYING [8]
% 14.00/2.39 TRYING [7]
% 15.32/2.55 TRYING [9]
% 15.32/2.56 TRYING [9]
% 25.86/4.06 TRYING [10]
% 28.80/4.53 TRYING [10]
% 35.03/5.38 TRYING [8]
% 45.02/6.82 TRYING [11]
% 51.86/7.83 TRYING [11]
% 77.61/11.48 TRYING [12]
% 92.42/13.61 TRYING [12]
% 92.42/13.62 % (17680)First to succeed.
% 92.90/13.66 % (17680)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17671"
% 93.01/13.67 % (17680)Refutation found. Thanks to Tanya!
% 93.01/13.67 % SZS status Theorem for theBenchmark
% 93.01/13.67 % SZS output start Proof for theBenchmark
% See solution above
% 93.01/13.69 % (17680)------------------------------
% 93.01/13.69 % (17680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 93.01/13.69 % (17680)Termination reason: Refutation
% 93.01/13.69
% 93.01/13.69 % (17680)Memory used [KB]: 39167
% 93.01/13.69 % (17680)Time elapsed: 13.262 s
% 93.01/13.69 % (17680)Instructions burned: 27438 (million)
% 93.01/13.69 % (17671)Success in time 13.317 s
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