TSTP Solution File: GRP254-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP254-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n007.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 : Thu Aug 31 01:22:55 EDT 2023
% Result : Unsatisfiable 1.66s 0.60s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 207
% Syntax : Number of formulae : 847 ( 6 unt; 0 def)
% Number of atoms : 2230 ( 794 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 2535 (1152 ~;1226 |; 0 &)
% ( 157 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 159 ( 157 usr; 158 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 290 (; 290 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11870,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f84,f89,f94,f99,f104,f109,f110,f111,f112,f113,f114,f129,f134,f139,f155,f156,f157,f158,f159,f160,f163,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f186,f190,f191,f192,f207,f217,f222,f227,f232,f237,f257,f261,f270,f275,f284,f293,f298,f305,f311,f318,f330,f336,f342,f357,f363,f369,f375,f382,f395,f401,f409,f414,f425,f464,f548,f560,f575,f585,f612,f640,f649,f694,f802,f824,f832,f838,f872,f904,f917,f922,f944,f948,f1067,f1095,f1153,f1155,f1156,f1305,f1403,f1432,f1437,f1446,f1451,f1457,f1463,f1468,f1497,f1535,f1545,f1561,f1566,f1582,f1667,f1676,f1684,f1693,f1725,f1745,f1766,f1772,f1783,f1792,f1822,f1861,f1959,f2144,f2151,f2248,f2412,f2479,f2604,f2652,f2658,f2916,f2979,f3051,f3178,f3190,f3308,f3354,f3368,f3372,f3377,f3602,f3614,f3679,f3702,f3774,f3799,f3907,f3951,f4041,f4078,f4083,f4105,f4139,f4204,f4214,f4245,f4267,f4345,f4380,f4401,f4441,f4443,f4447,f4450,f4492,f4961,f4963,f4975,f5322,f5450,f5472,f5613,f5637,f5700,f5774,f6588,f6589,f6597,f6825,f7013,f7028,f7043,f7149,f7471,f7692,f7725,f7727,f7833,f7862,f8280,f10137,f10222,f10605,f10885,f10944,f11016,f11039,f11051,f11056,f11399,f11414,f11551,f11661,f11852]) ).
fof(f11852,plain,
( ~ spl0_42
| ~ spl0_222
| ~ spl0_236
| spl0_250
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f11851]) ).
fof(f11851,plain,
( $false
| ~ spl0_42
| ~ spl0_222
| ~ spl0_236
| spl0_250
| ~ spl0_304 ),
inference(subsumption_resolution,[],[f11850,f2129]) ).
fof(f2129,plain,
( identity != multiply(sk_c12,identity)
| spl0_250 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f2128,plain,
( spl0_250
<=> identity = multiply(sk_c12,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f11850,plain,
( identity = multiply(sk_c12,identity)
| ~ spl0_42
| ~ spl0_222
| ~ spl0_236
| ~ spl0_304 ),
inference(forward_demodulation,[],[f11849,f341]) ).
fof(f341,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl0_42
<=> identity = multiply(sk_c12,sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f11849,plain,
( identity = multiply(sk_c12,multiply(sk_c12,sk_c1))
| ~ spl0_222
| ~ spl0_236
| ~ spl0_304 ),
inference(forward_demodulation,[],[f11594,f2498]) ).
fof(f2498,plain,
( sk_c1 = sk_c2
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f2497]) ).
fof(f2497,plain,
( spl0_304
<=> sk_c1 = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f11594,plain,
( identity = multiply(sk_c12,multiply(sk_c12,sk_c2))
| ~ spl0_222
| ~ spl0_236 ),
inference(forward_demodulation,[],[f1958,f1839]) ).
fof(f1839,plain,
( sk_c12 = sk_c11
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1838,plain,
( spl0_222
<=> sk_c12 = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f1958,plain,
( identity = multiply(sk_c11,multiply(sk_c12,sk_c2))
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f1956,plain,
( spl0_236
<=> identity = multiply(sk_c11,multiply(sk_c12,sk_c2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f11661,plain,
( ~ spl0_42
| spl0_252
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f11660]) ).
fof(f11660,plain,
( $false
| ~ spl0_42
| spl0_252
| ~ spl0_304 ),
inference(subsumption_resolution,[],[f11631,f341]) ).
fof(f11631,plain,
( identity != multiply(sk_c12,sk_c1)
| spl0_252
| ~ spl0_304 ),
inference(backward_demodulation,[],[f2143,f2498]) ).
fof(f2143,plain,
( identity != multiply(sk_c12,sk_c2)
| spl0_252 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f2141,plain,
( spl0_252
<=> identity = multiply(sk_c12,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f11551,plain,
( ~ spl0_222
| spl0_304
| ~ spl0_786
| ~ spl0_787 ),
inference(avatar_contradiction_clause,[],[f11550]) ).
fof(f11550,plain,
( $false
| ~ spl0_222
| spl0_304
| ~ spl0_786
| ~ spl0_787 ),
inference(subsumption_resolution,[],[f11549,f2499]) ).
fof(f2499,plain,
( sk_c1 != sk_c2
| spl0_304 ),
inference(avatar_component_clause,[],[f2497]) ).
fof(f11549,plain,
( sk_c1 = sk_c2
| ~ spl0_222
| ~ spl0_786
| ~ spl0_787 ),
inference(forward_demodulation,[],[f11535,f11050]) ).
fof(f11050,plain,
( sk_c1 = multiply(inverse(sk_c12),identity)
| ~ spl0_787 ),
inference(avatar_component_clause,[],[f11048]) ).
fof(f11048,plain,
( spl0_787
<=> sk_c1 = multiply(inverse(sk_c12),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).
fof(f11535,plain,
( sk_c2 = multiply(inverse(sk_c12),identity)
| ~ spl0_222
| ~ spl0_786 ),
inference(backward_demodulation,[],[f11038,f1839]) ).
fof(f11038,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl0_786 ),
inference(avatar_component_clause,[],[f11036]) ).
fof(f11036,plain,
( spl0_786
<=> sk_c2 = multiply(inverse(sk_c11),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).
fof(f11414,plain,
( ~ spl0_122
| ~ spl0_313
| spl0_493 ),
inference(avatar_contradiction_clause,[],[f11413]) ).
fof(f11413,plain,
( $false
| ~ spl0_122
| ~ spl0_313
| spl0_493 ),
inference(subsumption_resolution,[],[f11404,f6213]) ).
fof(f6213,plain,
( sk_c12 != multiply(sk_c1,sk_c12)
| spl0_493 ),
inference(avatar_component_clause,[],[f6212]) ).
fof(f6212,plain,
( spl0_493
<=> sk_c12 = multiply(sk_c1,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f11404,plain,
( sk_c12 = multiply(sk_c1,sk_c12)
| ~ spl0_122
| ~ spl0_313 ),
inference(backward_demodulation,[],[f903,f2565]) ).
fof(f2565,plain,
( sk_c1 = sk_c3
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2563,plain,
( spl0_313
<=> sk_c1 = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f903,plain,
( sk_c12 = multiply(sk_c3,sk_c12)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f901,plain,
( spl0_122
<=> sk_c12 = multiply(sk_c3,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f11399,plain,
( spl0_313
| ~ spl0_126
| ~ spl0_787 ),
inference(avatar_split_clause,[],[f11395,f11048,f919,f2563]) ).
fof(f919,plain,
( spl0_126
<=> identity = multiply(sk_c12,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f11395,plain,
( sk_c1 = sk_c3
| ~ spl0_126
| ~ spl0_787 ),
inference(forward_demodulation,[],[f11393,f11050]) ).
fof(f11393,plain,
( sk_c3 = multiply(inverse(sk_c12),identity)
| ~ spl0_126 ),
inference(superposition,[],[f251,f921]) ).
fof(f921,plain,
( identity = multiply(sk_c12,sk_c3)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f251,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f239,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',left_identity) ).
fof(f239,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = multiply(identity,X3),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',associativity) ).
fof(f11056,plain,
( spl0_285
| ~ spl0_784
| ~ spl0_787 ),
inference(avatar_split_clause,[],[f11053,f11048,f11013,f2368]) ).
fof(f2368,plain,
( spl0_285
<=> sk_c1 = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f11013,plain,
( spl0_784
<=> sk_c4 = multiply(inverse(sk_c12),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).
fof(f11053,plain,
( sk_c1 = sk_c4
| ~ spl0_784
| ~ spl0_787 ),
inference(backward_demodulation,[],[f11015,f11050]) ).
fof(f11015,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl0_784 ),
inference(avatar_component_clause,[],[f11013]) ).
fof(f11051,plain,
( spl0_787
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f11045,f339,f11048]) ).
fof(f11045,plain,
( sk_c1 = multiply(inverse(sk_c12),identity)
| ~ spl0_42 ),
inference(superposition,[],[f251,f341]) ).
fof(f11039,plain,
( spl0_786
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f11033,f333,f11036]) ).
fof(f333,plain,
( spl0_41
<=> identity = multiply(sk_c11,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f11033,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl0_41 ),
inference(superposition,[],[f251,f335]) ).
fof(f335,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f11016,plain,
( spl0_784
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f11010,f214,f11013]) ).
fof(f214,plain,
( spl0_21
<=> identity = multiply(sk_c12,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f11010,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl0_21 ),
inference(superposition,[],[f251,f216]) ).
fof(f216,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f10944,plain,
( spl0_294
| ~ spl0_52
| ~ spl0_56
| ~ spl0_734 ),
inference(avatar_split_clause,[],[f10943,f10587,f423,f399,f2422]) ).
fof(f2422,plain,
( spl0_294
<=> ! [X0] : multiply(sk_c9,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f399,plain,
( spl0_52
<=> ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c7,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f423,plain,
( spl0_56
<=> ! [X16] : multiply(sk_c7,multiply(sk_c9,X16)) = X16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f10587,plain,
( spl0_734
<=> ! [X7] : multiply(sk_c7,X7) = multiply(sk_c9,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f10943,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_52
| ~ spl0_56
| ~ spl0_734 ),
inference(forward_demodulation,[],[f10936,f424]) ).
fof(f424,plain,
( ! [X16] : multiply(sk_c7,multiply(sk_c9,X16)) = X16
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f10936,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl0_52
| ~ spl0_734 ),
inference(backward_demodulation,[],[f400,f10588]) ).
fof(f10588,plain,
( ! [X7] : multiply(sk_c7,X7) = multiply(sk_c9,X7)
| ~ spl0_734 ),
inference(avatar_component_clause,[],[f10587]) ).
fof(f400,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f10885,plain,
( ~ spl0_21
| ~ spl0_471
| spl0_477 ),
inference(avatar_contradiction_clause,[],[f10884]) ).
fof(f10884,plain,
( $false
| ~ spl0_21
| ~ spl0_471
| spl0_477 ),
inference(subsumption_resolution,[],[f10883,f5434]) ).
fof(f5434,plain,
( sk_c7 != multiply(sk_c12,sk_c4)
| spl0_477 ),
inference(avatar_component_clause,[],[f5433]) ).
fof(f5433,plain,
( spl0_477
<=> sk_c7 = multiply(sk_c12,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f10883,plain,
( sk_c7 = multiply(sk_c12,sk_c4)
| ~ spl0_21
| ~ spl0_471 ),
inference(forward_demodulation,[],[f216,f5331]) ).
fof(f5331,plain,
( identity = sk_c7
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f5329]) ).
fof(f5329,plain,
( spl0_471
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f10605,plain,
( spl0_734
| ~ spl0_52
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f10604,f5470,f399,f10587]) ).
fof(f5470,plain,
( spl0_482
<=> ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f10604,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,X0)
| ~ spl0_52
| ~ spl0_482 ),
inference(forward_demodulation,[],[f5471,f400]) ).
fof(f5471,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f5470]) ).
fof(f10222,plain,
( spl0_33
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f10144,f136,f286]) ).
fof(f286,plain,
( spl0_33
<=> ! [X15] : multiply(sk_c6,multiply(sk_c9,X15)) = multiply(sk_c12,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f136,plain,
( spl0_13
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f10144,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f138]) ).
fof(f138,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f10137,plain,
( spl0_59
| ~ spl0_411
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f10136,f3948,f3941,f450]) ).
fof(f450,plain,
( spl0_59
<=> ! [X0] :
( sk_c12 != multiply(X0,inverse(sk_c12))
| inverse(X0) != inverse(sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f3941,plain,
( spl0_411
<=> ! [X1] :
( inverse(X1) != inverse(inverse(sk_c12))
| sk_c12 != multiply(X1,inverse(inverse(sk_c12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f3948,plain,
( spl0_413
<=> inverse(sk_c12) = inverse(inverse(sk_c12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f10136,plain,
( ! [X1] :
( inverse(X1) != inverse(sk_c12)
| sk_c12 != multiply(X1,inverse(sk_c12)) )
| ~ spl0_411
| ~ spl0_413 ),
inference(forward_demodulation,[],[f10135,f3949]) ).
fof(f3949,plain,
( inverse(sk_c12) = inverse(inverse(sk_c12))
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f3948]) ).
fof(f10135,plain,
( ! [X1] :
( sk_c12 != multiply(X1,inverse(sk_c12))
| inverse(X1) != inverse(inverse(sk_c12)) )
| ~ spl0_411
| ~ spl0_413 ),
inference(backward_demodulation,[],[f3942,f3949]) ).
fof(f3942,plain,
( ! [X1] :
( inverse(X1) != inverse(inverse(sk_c12))
| sk_c12 != multiply(X1,inverse(inverse(sk_c12))) )
| ~ spl0_411 ),
inference(avatar_component_clause,[],[f3941]) ).
fof(f8280,plain,
( ~ spl0_226
| ~ spl0_295
| spl0_445
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f8279]) ).
fof(f8279,plain,
( $false
| ~ spl0_226
| ~ spl0_295
| spl0_445
| ~ spl0_477 ),
inference(subsumption_resolution,[],[f8278,f4330]) ).
fof(f4330,plain,
( sk_c12 != multiply(sk_c12,sk_c4)
| spl0_445 ),
inference(avatar_component_clause,[],[f4328]) ).
fof(f4328,plain,
( spl0_445
<=> sk_c12 = multiply(sk_c12,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f8278,plain,
( sk_c12 = multiply(sk_c12,sk_c4)
| ~ spl0_226
| ~ spl0_295
| ~ spl0_477 ),
inference(forward_demodulation,[],[f7647,f1865]) ).
fof(f1865,plain,
( sk_c12 = sk_c9
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f1864,plain,
( spl0_226
<=> sk_c12 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f7647,plain,
( sk_c9 = multiply(sk_c12,sk_c4)
| ~ spl0_295
| ~ spl0_477 ),
inference(forward_demodulation,[],[f5435,f2427]) ).
fof(f2427,plain,
( sk_c9 = sk_c7
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f2426,plain,
( spl0_295
<=> sk_c9 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f5435,plain,
( sk_c7 = multiply(sk_c12,sk_c4)
| ~ spl0_477 ),
inference(avatar_component_clause,[],[f5433]) ).
fof(f7862,plain,
( spl0_76
| ~ spl0_295
| ~ spl0_533
| ~ spl0_554 ),
inference(avatar_contradiction_clause,[],[f7861]) ).
fof(f7861,plain,
( $false
| spl0_76
| ~ spl0_295
| ~ spl0_533
| ~ spl0_554 ),
inference(subsumption_resolution,[],[f7860,f540]) ).
fof(f540,plain,
( identity != sk_c12
| spl0_76 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f538,plain,
( spl0_76
<=> identity = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f7860,plain,
( identity = sk_c12
| ~ spl0_295
| ~ spl0_533
| ~ spl0_554 ),
inference(forward_demodulation,[],[f7699,f7470]) ).
fof(f7470,plain,
( sk_c12 = multiply(sk_c12,sk_c9)
| ~ spl0_554 ),
inference(avatar_component_clause,[],[f7468]) ).
fof(f7468,plain,
( spl0_554
<=> sk_c12 = multiply(sk_c12,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f7699,plain,
( identity = multiply(sk_c12,sk_c9)
| ~ spl0_295
| ~ spl0_533 ),
inference(forward_demodulation,[],[f7027,f2427]) ).
fof(f7027,plain,
( identity = multiply(sk_c12,sk_c7)
| ~ spl0_533 ),
inference(avatar_component_clause,[],[f7025]) ).
fof(f7025,plain,
( spl0_533
<=> identity = multiply(sk_c12,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f7833,plain,
( spl0_212
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f7832]) ).
fof(f7832,plain,
( $false
| spl0_212
| ~ spl0_291 ),
inference(subsumption_resolution,[],[f1748,f2411]) ).
fof(f2411,plain,
( ! [X1] : multiply(sk_c6,X1) = X1
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f2410]) ).
fof(f2410,plain,
( spl0_291
<=> ! [X1] : multiply(sk_c6,X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f1748,plain,
( sk_c12 != multiply(sk_c6,sk_c12)
| spl0_212 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1747,plain,
( spl0_212
<=> sk_c12 = multiply(sk_c6,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f7727,plain,
( ~ spl0_49
| ~ spl0_225
| spl0_226 ),
inference(avatar_contradiction_clause,[],[f7726]) ).
fof(f7726,plain,
( $false
| ~ spl0_49
| ~ spl0_225
| spl0_226 ),
inference(subsumption_resolution,[],[f7313,f1866]) ).
fof(f1866,plain,
( sk_c12 != sk_c9
| spl0_226 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f7313,plain,
( sk_c12 = sk_c9
| ~ spl0_49
| ~ spl0_225 ),
inference(backward_demodulation,[],[f381,f1860]) ).
fof(f1860,plain,
( sk_c12 = multiply(sk_c9,sk_c12)
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1858,plain,
( spl0_225
<=> sk_c12 = multiply(sk_c9,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f381,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f379,plain,
( spl0_49
<=> sk_c9 = multiply(sk_c9,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f7725,plain,
( ~ spl0_7
| spl0_222
| ~ spl0_493 ),
inference(avatar_contradiction_clause,[],[f7724]) ).
fof(f7724,plain,
( $false
| ~ spl0_7
| spl0_222
| ~ spl0_493 ),
inference(subsumption_resolution,[],[f7316,f1840]) ).
fof(f1840,plain,
( sk_c12 != sk_c11
| spl0_222 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f7316,plain,
( sk_c12 = sk_c11
| ~ spl0_7
| ~ spl0_493 ),
inference(backward_demodulation,[],[f103,f6214]) ).
fof(f6214,plain,
( sk_c12 = multiply(sk_c1,sk_c12)
| ~ spl0_493 ),
inference(avatar_component_clause,[],[f6212]) ).
fof(f103,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_7
<=> multiply(sk_c1,sk_c12) = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f7692,plain,
( ~ spl0_21
| spl0_76
| ~ spl0_445 ),
inference(avatar_contradiction_clause,[],[f7691]) ).
fof(f7691,plain,
( $false
| ~ spl0_21
| spl0_76
| ~ spl0_445 ),
inference(subsumption_resolution,[],[f7689,f540]) ).
fof(f7689,plain,
( identity = sk_c12
| ~ spl0_21
| ~ spl0_445 ),
inference(backward_demodulation,[],[f216,f4329]) ).
fof(f4329,plain,
( sk_c12 = multiply(sk_c12,sk_c4)
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f4328]) ).
fof(f7471,plain,
( spl0_554
| ~ spl0_131
| ~ spl0_146
| ~ spl0_173
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f7466,f2426,f1400,f1070,f941,f7468]) ).
fof(f941,plain,
( spl0_131
<=> sk_c12 = multiply(sk_c12,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1070,plain,
( spl0_146
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1400,plain,
( spl0_173
<=> multiply(sk_c7,sk_c12) = multiply(sk_c12,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f7466,plain,
( sk_c12 = multiply(sk_c12,sk_c9)
| ~ spl0_131
| ~ spl0_146
| ~ spl0_173
| ~ spl0_295 ),
inference(forward_demodulation,[],[f7465,f943]) ).
fof(f943,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f7465,plain,
( multiply(sk_c12,sk_c12) = multiply(sk_c12,sk_c9)
| ~ spl0_146
| ~ spl0_173
| ~ spl0_295 ),
inference(forward_demodulation,[],[f7464,f1071]) ).
fof(f1071,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,X0)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f7464,plain,
( multiply(sk_c9,sk_c12) = multiply(sk_c12,sk_c9)
| ~ spl0_173
| ~ spl0_295 ),
inference(forward_demodulation,[],[f1402,f2427]) ).
fof(f1402,plain,
( multiply(sk_c7,sk_c12) = multiply(sk_c12,sk_c9)
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f7149,plain,
( spl0_138
| ~ spl0_37
| ~ spl0_43
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f7148,f4377,f345,f309,f982]) ).
fof(f982,plain,
( spl0_138
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c10,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f309,plain,
( spl0_37
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f345,plain,
( spl0_43
<=> ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c11,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f4377,plain,
( spl0_455
<=> sk_c12 = sk_c2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f7148,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c10,X0)
| ~ spl0_37
| ~ spl0_43
| ~ spl0_455 ),
inference(forward_demodulation,[],[f7147,f310]) ).
fof(f310,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f7147,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_43
| ~ spl0_455 ),
inference(forward_demodulation,[],[f346,f4379]) ).
fof(f4379,plain,
( sk_c12 = sk_c2
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f4377]) ).
fof(f346,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c11,X0))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f7043,plain,
( spl0_471
| ~ spl0_197
| ~ spl0_291
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f7042,f2630,f2410,f1558,f5329]) ).
fof(f1558,plain,
( spl0_197
<=> multiply(sk_c12,sk_c6) = multiply(sk_c6,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f2630,plain,
( spl0_321
<=> sk_c7 = multiply(sk_c12,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f7042,plain,
( identity = sk_c7
| ~ spl0_197
| ~ spl0_291
| ~ spl0_321 ),
inference(forward_demodulation,[],[f4727,f2631]) ).
fof(f2631,plain,
( sk_c7 = multiply(sk_c12,sk_c6)
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f2630]) ).
fof(f4727,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl0_197
| ~ spl0_291 ),
inference(forward_demodulation,[],[f1560,f2411]) ).
fof(f1560,plain,
( multiply(sk_c12,sk_c6) = multiply(sk_c6,identity)
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f7028,plain,
( spl0_533
| ~ spl0_198
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f7023,f2410,f1563,f7025]) ).
fof(f1563,plain,
( spl0_198
<=> multiply(sk_c6,identity) = multiply(sk_c12,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f7023,plain,
( identity = multiply(sk_c12,sk_c7)
| ~ spl0_198
| ~ spl0_291 ),
inference(forward_demodulation,[],[f1565,f2411]) ).
fof(f1565,plain,
( multiply(sk_c6,identity) = multiply(sk_c12,sk_c7)
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f7013,plain,
( spl0_131
| ~ spl0_416
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f5694,f4184,f3972,f941]) ).
fof(f3972,plain,
( spl0_416
<=> sk_c12 = inverse(sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f4184,plain,
( spl0_428
<=> sk_c12 = multiply(sk_c12,inverse(sk_c12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f5694,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_416
| ~ spl0_428 ),
inference(backward_demodulation,[],[f4185,f3973]) ).
fof(f3973,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f3972]) ).
fof(f4185,plain,
( sk_c12 = multiply(sk_c12,inverse(sk_c12))
| ~ spl0_428 ),
inference(avatar_component_clause,[],[f4184]) ).
fof(f6825,plain,
( ~ spl0_85
| spl0_117
| ~ spl0_222
| ~ spl0_436 ),
inference(avatar_contradiction_clause,[],[f6824]) ).
fof(f6824,plain,
( $false
| ~ spl0_85
| spl0_117
| ~ spl0_222
| ~ spl0_436 ),
inference(subsumption_resolution,[],[f6823,f611]) ).
fof(f611,plain,
( ! [X15] : multiply(sk_c12,X15) = X15
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f610,plain,
( spl0_85
<=> ! [X15] : multiply(sk_c12,X15) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f6823,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| spl0_117
| ~ spl0_222
| ~ spl0_436 ),
inference(forward_demodulation,[],[f6822,f4284]) ).
fof(f4284,plain,
( sk_c12 = sk_c5
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f4283]) ).
fof(f4283,plain,
( spl0_436
<=> sk_c12 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f6822,plain,
( sk_c12 != multiply(sk_c5,sk_c12)
| spl0_117
| ~ spl0_222 ),
inference(forward_demodulation,[],[f857,f1839]) ).
fof(f857,plain,
( sk_c12 != multiply(sk_c5,sk_c11)
| spl0_117 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl0_117
<=> sk_c12 = multiply(sk_c5,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f6597,plain,
( spl0_368
| ~ spl0_85
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f5651,f3612,f610,f3420]) ).
fof(f3420,plain,
( spl0_368
<=> ! [X0] : multiply(sk_c2,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f3612,plain,
( spl0_385
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c12,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f5651,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_85
| ~ spl0_385 ),
inference(forward_demodulation,[],[f3613,f611]) ).
fof(f3613,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c12,X0))
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f3612]) ).
fof(f6589,plain,
( spl0_222
| ~ spl0_81
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f4866,f2418,f582,f1838]) ).
fof(f582,plain,
( spl0_81
<=> sk_c11 = multiply(sk_c7,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2418,plain,
( spl0_293
<=> ! [X0] : multiply(sk_c7,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f4866,plain,
( sk_c12 = sk_c11
| ~ spl0_81
| ~ spl0_293 ),
inference(forward_demodulation,[],[f584,f2419]) ).
fof(f2419,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f584,plain,
( sk_c11 = multiply(sk_c7,sk_c12)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f6588,plain,
( spl0_222
| ~ spl0_14
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f4935,f2227,f141,f1838]) ).
fof(f141,plain,
( spl0_14
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f2227,plain,
( spl0_257
<=> ! [X0] : multiply(sk_c4,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f4935,plain,
( sk_c12 = sk_c11
| ~ spl0_14
| ~ spl0_257 ),
inference(forward_demodulation,[],[f143,f2228]) ).
fof(f2228,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f2227]) ).
fof(f143,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f5774,plain,
( spl0_61
| ~ spl0_257
| ~ spl0_416 ),
inference(avatar_contradiction_clause,[],[f5773]) ).
fof(f5773,plain,
( $false
| spl0_61
| ~ spl0_257
| ~ spl0_416 ),
inference(subsumption_resolution,[],[f5772,f2228]) ).
fof(f5772,plain,
( sk_c12 != multiply(sk_c4,sk_c12)
| spl0_61
| ~ spl0_416 ),
inference(forward_demodulation,[],[f463,f3973]) ).
fof(f463,plain,
( sk_c12 != multiply(sk_c4,inverse(sk_c12))
| spl0_61 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl0_61
<=> sk_c12 = multiply(sk_c4,inverse(sk_c12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f5700,plain,
( spl0_413
| ~ spl0_416 ),
inference(avatar_contradiction_clause,[],[f5699]) ).
fof(f5699,plain,
( $false
| spl0_413
| ~ spl0_416 ),
inference(subsumption_resolution,[],[f5698,f3973]) ).
fof(f5698,plain,
( sk_c12 != inverse(sk_c12)
| spl0_413
| ~ spl0_416 ),
inference(forward_demodulation,[],[f3950,f3973]) ).
fof(f3950,plain,
( inverse(sk_c12) != inverse(inverse(sk_c12))
| spl0_413 ),
inference(avatar_component_clause,[],[f3948]) ).
fof(f5637,plain,
( ~ spl0_8
| ~ spl0_226
| ~ spl0_295
| spl0_416 ),
inference(avatar_contradiction_clause,[],[f5636]) ).
fof(f5636,plain,
( $false
| ~ spl0_8
| ~ spl0_226
| ~ spl0_295
| spl0_416 ),
inference(subsumption_resolution,[],[f5635,f3974]) ).
fof(f3974,plain,
( sk_c12 != inverse(sk_c12)
| spl0_416 ),
inference(avatar_component_clause,[],[f3972]) ).
fof(f5635,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_8
| ~ spl0_226
| ~ spl0_295 ),
inference(forward_demodulation,[],[f5209,f1865]) ).
fof(f5209,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_8
| ~ spl0_295 ),
inference(backward_demodulation,[],[f108,f2427]) ).
fof(f108,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_8
<=> sk_c9 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f5613,plain,
( spl0_121
| ~ spl0_222
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f5612]) ).
fof(f5612,plain,
( $false
| spl0_121
| ~ spl0_222
| ~ spl0_368 ),
inference(subsumption_resolution,[],[f5611,f3421]) ).
fof(f3421,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f3420]) ).
fof(f5611,plain,
( sk_c12 != multiply(sk_c2,sk_c12)
| spl0_121
| ~ spl0_222 ),
inference(forward_demodulation,[],[f897,f1839]) ).
fof(f897,plain,
( sk_c12 != multiply(sk_c2,sk_c11)
| spl0_121 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl0_121
<=> sk_c12 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f5472,plain,
( spl0_482
| ~ spl0_182
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f4572,f3302,f1449,f5470]) ).
fof(f1449,plain,
( spl0_182
<=> ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f3302,plain,
( spl0_352
<=> ! [X1] : multiply(sk_c7,X1) = multiply(sk_c8,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f4572,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_182
| ~ spl0_352 ),
inference(backward_demodulation,[],[f1450,f3303]) ).
fof(f3303,plain,
( ! [X1] : multiply(sk_c7,X1) = multiply(sk_c8,X1)
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f3302]) ).
fof(f1450,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f5450,plain,
( spl0_257
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f5449,f651,f2227]) ).
fof(f651,plain,
( spl0_93
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f5449,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_93 ),
inference(forward_demodulation,[],[f1,f653]) ).
fof(f653,plain,
( identity = sk_c4
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f5322,plain,
( spl0_93
| ~ spl0_21
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f4925,f610,f214,f651]) ).
fof(f4925,plain,
( identity = sk_c4
| ~ spl0_21
| ~ spl0_85 ),
inference(forward_demodulation,[],[f216,f611]) ).
fof(f4975,plain,
( spl0_436
| ~ spl0_22
| ~ spl0_76
| ~ spl0_85
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f4922,f1838,f610,f538,f219,f4283]) ).
fof(f219,plain,
( spl0_22
<=> identity = multiply(sk_c11,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f4922,plain,
( sk_c12 = sk_c5
| ~ spl0_22
| ~ spl0_76
| ~ spl0_85
| ~ spl0_222 ),
inference(forward_demodulation,[],[f4921,f539]) ).
fof(f539,plain,
( identity = sk_c12
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f4921,plain,
( identity = sk_c5
| ~ spl0_22
| ~ spl0_85
| ~ spl0_222 ),
inference(forward_demodulation,[],[f4920,f611]) ).
fof(f4920,plain,
( identity = multiply(sk_c12,sk_c5)
| ~ spl0_22
| ~ spl0_222 ),
inference(forward_demodulation,[],[f221,f1839]) ).
fof(f221,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f4963,plain,
( spl0_295
| ~ spl0_12
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f4937,f2464,f131,f2426]) ).
fof(f131,plain,
( spl0_12
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2464,plain,
( spl0_300
<=> ! [X0] : multiply(sk_c8,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f4937,plain,
( sk_c9 = sk_c7
| ~ spl0_12
| ~ spl0_300 ),
inference(forward_demodulation,[],[f133,f2465]) ).
fof(f2465,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f133,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f4961,plain,
( spl0_226
| ~ spl0_49
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f4882,f2422,f379,f1864]) ).
fof(f4882,plain,
( sk_c12 = sk_c9
| ~ spl0_49
| ~ spl0_294 ),
inference(forward_demodulation,[],[f381,f2423]) ).
fof(f2423,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f2422]) ).
fof(f4492,plain,
( spl0_416
| ~ spl0_354
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f4491,f4377,f3351,f3972]) ).
fof(f3351,plain,
( spl0_354
<=> sk_c12 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f4491,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_354
| ~ spl0_455 ),
inference(forward_demodulation,[],[f3353,f4379]) ).
fof(f3353,plain,
( sk_c12 = inverse(sk_c2)
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f3351]) ).
fof(f4450,plain,
( spl0_432
| ~ spl0_18
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4449,f869,f199,f4265]) ).
fof(f4265,plain,
( spl0_432
<=> ! [X0] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f199,plain,
( spl0_18
<=> ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f869,plain,
( spl0_119
<=> sk_c12 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f4449,plain,
( ! [X2] :
( sk_c12 != multiply(X2,sk_c12)
| sk_c12 != inverse(X2) )
| ~ spl0_18
| ~ spl0_119 ),
inference(forward_demodulation,[],[f4448,f871]) ).
fof(f871,plain,
( sk_c12 = sk_c10
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f4448,plain,
( ! [X2] :
( sk_c12 != inverse(X2)
| sk_c10 != multiply(X2,sk_c12) )
| ~ spl0_18
| ~ spl0_119 ),
inference(forward_demodulation,[],[f200,f871]) ).
fof(f200,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c12) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f4447,plain,
( spl0_432
| ~ spl0_20
| ~ spl0_119
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f4446,f1838,f869,f205,f4265]) ).
fof(f205,plain,
( spl0_20
<=> ! [X0] :
( inverse(X0) != sk_c11
| sk_c10 != multiply(X0,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f4446,plain,
( ! [X0] :
( sk_c12 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12 )
| ~ spl0_20
| ~ spl0_119
| ~ spl0_222 ),
inference(forward_demodulation,[],[f4445,f871]) ).
fof(f4445,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12 )
| ~ spl0_20
| ~ spl0_222 ),
inference(forward_demodulation,[],[f4444,f1839]) ).
fof(f4444,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| sk_c10 != multiply(X0,sk_c11) )
| ~ spl0_20
| ~ spl0_222 ),
inference(forward_demodulation,[],[f206,f1839]) ).
fof(f206,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| sk_c10 != multiply(X0,sk_c11) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f4443,plain,
( ~ spl0_85
| ~ spl0_416
| ~ spl0_432 ),
inference(avatar_contradiction_clause,[],[f4442]) ).
fof(f4442,plain,
( $false
| ~ spl0_85
| ~ spl0_416
| ~ spl0_432 ),
inference(subsumption_resolution,[],[f4429,f3973]) ).
fof(f4429,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl0_85
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f4427]) ).
fof(f4427,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c12)
| ~ spl0_85
| ~ spl0_432 ),
inference(superposition,[],[f4266,f611]) ).
fof(f4266,plain,
( ! [X0] :
( sk_c12 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12 )
| ~ spl0_432 ),
inference(avatar_component_clause,[],[f4265]) ).
fof(f4441,plain,
( ~ spl0_416
| ~ spl0_432
| ~ spl0_448 ),
inference(avatar_contradiction_clause,[],[f4440]) ).
fof(f4440,plain,
( $false
| ~ spl0_416
| ~ spl0_432
| ~ spl0_448 ),
inference(subsumption_resolution,[],[f4439,f3973]) ).
fof(f4439,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl0_416
| ~ spl0_432
| ~ spl0_448 ),
inference(forward_demodulation,[],[f4430,f3973]) ).
fof(f4430,plain,
( sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_432
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f4426]) ).
fof(f4426,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(inverse(sk_c12))
| ~ spl0_432
| ~ spl0_448 ),
inference(superposition,[],[f4266,f4344]) ).
fof(f4344,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c12
| ~ spl0_448 ),
inference(avatar_component_clause,[],[f4343]) ).
fof(f4343,plain,
( spl0_448
<=> ! [X0] : multiply(inverse(X0),X0) = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f4401,plain,
( spl0_432
| ~ spl0_19
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f4253,f1838,f202,f4265]) ).
fof(f202,plain,
( spl0_19
<=> ! [X1] :
( sk_c12 != inverse(X1)
| sk_c11 != multiply(X1,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f4253,plain,
( ! [X1] :
( sk_c12 != multiply(X1,sk_c12)
| sk_c12 != inverse(X1) )
| ~ spl0_19
| ~ spl0_222 ),
inference(forward_demodulation,[],[f203,f1839]) ).
fof(f203,plain,
( ! [X1] :
( sk_c12 != inverse(X1)
| sk_c11 != multiply(X1,sk_c12) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f4380,plain,
( spl0_455
| ~ spl0_304
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f4147,f3904,f2497,f4377]) ).
fof(f3904,plain,
( spl0_408
<=> sk_c1 = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f4147,plain,
( sk_c12 = sk_c2
| ~ spl0_304
| ~ spl0_408 ),
inference(backward_demodulation,[],[f2498,f3905]) ).
fof(f3905,plain,
( sk_c1 = sk_c12
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f3904]) ).
fof(f4345,plain,
( spl0_448
| ~ spl0_319
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f4155,f3904,f2613,f4343]) ).
fof(f2613,plain,
( spl0_319
<=> ! [X0] : multiply(inverse(X0),X0) = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f4155,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c12
| ~ spl0_319
| ~ spl0_408 ),
inference(backward_demodulation,[],[f2614,f3905]) ).
fof(f2614,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c1
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f2613]) ).
fof(f4267,plain,
( spl0_432
| ~ spl0_59
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f4226,f3972,f450,f4265]) ).
fof(f4226,plain,
( ! [X0] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c12) )
| ~ spl0_59
| ~ spl0_416 ),
inference(forward_demodulation,[],[f4225,f3973]) ).
fof(f4225,plain,
( ! [X0] :
( sk_c12 != multiply(X0,sk_c12)
| inverse(X0) != inverse(sk_c12) )
| ~ spl0_59
| ~ spl0_416 ),
inference(forward_demodulation,[],[f451,f3973]) ).
fof(f451,plain,
( ! [X0] :
( sk_c12 != multiply(X0,inverse(sk_c12))
| inverse(X0) != inverse(sk_c12) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f4245,plain,
( ~ spl0_85
| ~ spl0_416
| spl0_428 ),
inference(avatar_contradiction_clause,[],[f4244]) ).
fof(f4244,plain,
( $false
| ~ spl0_85
| ~ spl0_416
| spl0_428 ),
inference(subsumption_resolution,[],[f4243,f611]) ).
fof(f4243,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_416
| spl0_428 ),
inference(forward_demodulation,[],[f4186,f3973]) ).
fof(f4186,plain,
( sk_c12 != multiply(sk_c12,inverse(sk_c12))
| spl0_428 ),
inference(avatar_component_clause,[],[f4184]) ).
fof(f4214,plain,
( ~ spl0_85
| spl0_412
| ~ spl0_416 ),
inference(avatar_contradiction_clause,[],[f4213]) ).
fof(f4213,plain,
( $false
| ~ spl0_85
| spl0_412
| ~ spl0_416 ),
inference(subsumption_resolution,[],[f4212,f611]) ).
fof(f4212,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| spl0_412
| ~ spl0_416 ),
inference(forward_demodulation,[],[f4211,f3973]) ).
fof(f4211,plain,
( sk_c12 != multiply(inverse(sk_c12),sk_c12)
| spl0_412
| ~ spl0_416 ),
inference(backward_demodulation,[],[f3946,f3973]) ).
fof(f3946,plain,
( sk_c12 != multiply(inverse(inverse(sk_c12)),sk_c12)
| spl0_412 ),
inference(avatar_component_clause,[],[f3944]) ).
fof(f3944,plain,
( spl0_412
<=> sk_c12 = multiply(inverse(inverse(sk_c12)),sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f4204,plain,
( spl0_416
| ~ spl0_4
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f4140,f3904,f86,f3972]) ).
fof(f86,plain,
( spl0_4
<=> sk_c12 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4140,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_4
| ~ spl0_408 ),
inference(backward_demodulation,[],[f88,f3905]) ).
fof(f88,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f4139,plain,
( spl0_408
| ~ spl0_319
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f4127,f4039,f2613,f3904]) ).
fof(f4039,plain,
( spl0_420
<=> ! [X2] : multiply(inverse(sk_c12),X2) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f4127,plain,
( sk_c1 = sk_c12
| ~ spl0_319
| ~ spl0_420 ),
inference(superposition,[],[f4040,f2614]) ).
fof(f4040,plain,
( ! [X2] : multiply(inverse(sk_c12),X2) = X2
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f4039]) ).
fof(f4105,plain,
( ~ spl0_84
| ~ spl0_85
| spl0_321 ),
inference(avatar_contradiction_clause,[],[f4104]) ).
fof(f4104,plain,
( $false
| ~ spl0_84
| ~ spl0_85
| spl0_321 ),
inference(subsumption_resolution,[],[f4094,f611]) ).
fof(f4094,plain,
( sk_c7 != multiply(sk_c12,sk_c7)
| ~ spl0_84
| spl0_321 ),
inference(backward_demodulation,[],[f2632,f601]) ).
fof(f601,plain,
( sk_c6 = sk_c7
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl0_84
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2632,plain,
( sk_c7 != multiply(sk_c12,sk_c6)
| spl0_321 ),
inference(avatar_component_clause,[],[f2630]) ).
fof(f4083,plain,
( spl0_359
| ~ spl0_420 ),
inference(avatar_contradiction_clause,[],[f4082]) ).
fof(f4082,plain,
( $false
| spl0_359
| ~ spl0_420 ),
inference(subsumption_resolution,[],[f3376,f4040]) ).
fof(f3376,plain,
( sk_c12 != multiply(inverse(sk_c12),sk_c12)
| spl0_359 ),
inference(avatar_component_clause,[],[f3374]) ).
fof(f3374,plain,
( spl0_359
<=> sk_c12 = multiply(inverse(sk_c12),sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f4078,plain,
( spl0_319
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f4077,f646,f2613]) ).
fof(f646,plain,
( spl0_92
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f4077,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c1
| ~ spl0_92 ),
inference(forward_demodulation,[],[f2,f648]) ).
fof(f648,plain,
( identity = sk_c1
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f4041,plain,
( spl0_420
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f4022,f610,f4039]) ).
fof(f4022,plain,
( ! [X2] : multiply(inverse(sk_c12),X2) = X2
| ~ spl0_85 ),
inference(superposition,[],[f251,f611]) ).
fof(f3951,plain,
( spl0_411
| ~ spl0_412
| ~ spl0_413
| ~ spl0_85
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f3936,f3366,f610,f3948,f3944,f3941]) ).
fof(f3366,plain,
( spl0_357
<=> ! [X4,X3] :
( sk_c12 != multiply(inverse(inverse(X4)),sk_c12)
| inverse(X4) != multiply(X4,inverse(inverse(X4)))
| inverse(X3) != inverse(inverse(X4))
| sk_c12 != multiply(X3,inverse(inverse(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f3936,plain,
( ! [X1] :
( inverse(sk_c12) != inverse(inverse(sk_c12))
| sk_c12 != multiply(inverse(inverse(sk_c12)),sk_c12)
| inverse(X1) != inverse(inverse(sk_c12))
| sk_c12 != multiply(X1,inverse(inverse(sk_c12))) )
| ~ spl0_85
| ~ spl0_357 ),
inference(superposition,[],[f3367,f611]) ).
fof(f3367,plain,
( ! [X3,X4] :
( inverse(X4) != multiply(X4,inverse(inverse(X4)))
| sk_c12 != multiply(inverse(inverse(X4)),sk_c12)
| inverse(X3) != inverse(inverse(X4))
| sk_c12 != multiply(X3,inverse(inverse(X4))) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f3366]) ).
fof(f3907,plain,
( ~ spl0_408
| spl0_76
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3902,f646,f538,f3904]) ).
fof(f3902,plain,
( sk_c1 != sk_c12
| spl0_76
| ~ spl0_92 ),
inference(superposition,[],[f540,f648]) ).
fof(f3799,plain,
( spl0_36
| ~ spl0_131
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f3798]) ).
fof(f3798,plain,
( $false
| spl0_36
| ~ spl0_131
| ~ spl0_222 ),
inference(subsumption_resolution,[],[f3797,f943]) ).
fof(f3797,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| spl0_36
| ~ spl0_222 ),
inference(forward_demodulation,[],[f303,f1839]) ).
fof(f303,plain,
( sk_c12 != multiply(sk_c12,sk_c11)
| spl0_36 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl0_36
<=> sk_c12 = multiply(sk_c12,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f3774,plain,
( spl0_286
| ~ spl0_209
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f3773,f3370,f1655,f2374]) ).
fof(f2374,plain,
( spl0_286
<=> ! [X0] : multiply(sk_c12,multiply(sk_c12,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1655,plain,
( spl0_209
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f3370,plain,
( spl0_358
<=> ! [X0] : multiply(sk_c12,multiply(sk_c2,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f3773,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c12,X0)) = X0
| ~ spl0_209
| ~ spl0_358 ),
inference(backward_demodulation,[],[f3371,f1656]) ).
fof(f1656,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,X0)
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f3371,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c2,X0)) = X0
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f3370]) ).
fof(f3702,plain,
( spl0_131
| ~ spl0_97
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3225,f1838,f691,f941]) ).
fof(f691,plain,
( spl0_97
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f3225,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_97
| ~ spl0_222 ),
inference(backward_demodulation,[],[f693,f1839]) ).
fof(f693,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f3679,plain,
( spl0_85
| ~ spl0_148
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3263,f1838,f1084,f610]) ).
fof(f1084,plain,
( spl0_148
<=> ! [X0] : multiply(sk_c11,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f3263,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_148
| ~ spl0_222 ),
inference(forward_demodulation,[],[f1085,f1839]) ).
fof(f1085,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f3614,plain,
( spl0_385
| ~ spl0_127
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3577,f1838,f924,f3612]) ).
fof(f924,plain,
( spl0_127
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c11,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f3577,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c12,X0))
| ~ spl0_127
| ~ spl0_222 ),
inference(forward_demodulation,[],[f925,f1839]) ).
fof(f925,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c11,X0))
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f3602,plain,
( spl0_132
| ~ spl0_45
| ~ spl0_48
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3601,f1838,f373,f355,f946]) ).
fof(f946,plain,
( spl0_132
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c12,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f355,plain,
( spl0_45
<=> ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c12,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f373,plain,
( spl0_48
<=> ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3601,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c12,X0))
| ~ spl0_45
| ~ spl0_48
| ~ spl0_222 ),
inference(forward_demodulation,[],[f1901,f1839]) ).
fof(f1901,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_45
| ~ spl0_48 ),
inference(superposition,[],[f374,f356]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c12,X0))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f374,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f3377,plain,
( ~ spl0_359
| spl0_60
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3218,f1838,f453,f3374]) ).
fof(f453,plain,
( spl0_60
<=> sk_c12 = multiply(inverse(sk_c12),sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f3218,plain,
( sk_c12 != multiply(inverse(sk_c12),sk_c12)
| spl0_60
| ~ spl0_222 ),
inference(backward_demodulation,[],[f455,f1839]) ).
fof(f455,plain,
( sk_c12 != multiply(inverse(sk_c12),sk_c11)
| spl0_60 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f3372,plain,
( spl0_358
| ~ spl0_47
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3217,f1838,f367,f3370]) ).
fof(f367,plain,
( spl0_47
<=> ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f3217,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c2,X0)) = X0
| ~ spl0_47
| ~ spl0_222 ),
inference(backward_demodulation,[],[f368,f1839]) ).
fof(f368,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f3368,plain,
( spl0_357
| ~ spl0_17
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3215,f1838,f196,f3366]) ).
fof(f196,plain,
( spl0_17
<=> ! [X4,X3] :
( inverse(X3) != inverse(inverse(X4))
| inverse(X4) != multiply(X4,inverse(inverse(X4)))
| sk_c12 != multiply(X3,inverse(inverse(X4)))
| sk_c12 != multiply(inverse(inverse(X4)),sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f3215,plain,
( ! [X3,X4] :
( sk_c12 != multiply(inverse(inverse(X4)),sk_c12)
| inverse(X4) != multiply(X4,inverse(inverse(X4)))
| inverse(X3) != inverse(inverse(X4))
| sk_c12 != multiply(X3,inverse(inverse(X4))) )
| ~ spl0_17
| ~ spl0_222 ),
inference(backward_demodulation,[],[f197,f1839]) ).
fof(f197,plain,
( ! [X3,X4] :
( inverse(X4) != multiply(X4,inverse(inverse(X4)))
| inverse(X3) != inverse(inverse(X4))
| sk_c12 != multiply(X3,inverse(inverse(X4)))
| sk_c12 != multiply(inverse(inverse(X4)),sk_c11) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f3354,plain,
( spl0_354
| ~ spl0_3
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3211,f1838,f81,f3351]) ).
fof(f81,plain,
( spl0_3
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f3211,plain,
( sk_c12 = inverse(sk_c2)
| ~ spl0_3
| ~ spl0_222 ),
inference(backward_demodulation,[],[f83,f1839]) ).
fof(f83,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f3308,plain,
( spl0_352
| ~ spl0_85
| ~ spl0_181
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3307,f1838,f1444,f610,f3302]) ).
fof(f1444,plain,
( spl0_181
<=> ! [X1] : multiply(sk_c7,multiply(sk_c11,X1)) = multiply(sk_c8,multiply(sk_c12,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f3307,plain,
( ! [X1] : multiply(sk_c7,X1) = multiply(sk_c8,X1)
| ~ spl0_85
| ~ spl0_181
| ~ spl0_222 ),
inference(forward_demodulation,[],[f3306,f611]) ).
fof(f3306,plain,
( ! [X1] : multiply(sk_c7,multiply(sk_c12,X1)) = multiply(sk_c8,X1)
| ~ spl0_85
| ~ spl0_181
| ~ spl0_222 ),
inference(forward_demodulation,[],[f3305,f1839]) ).
fof(f3305,plain,
( ! [X1] : multiply(sk_c7,multiply(sk_c11,X1)) = multiply(sk_c8,X1)
| ~ spl0_85
| ~ spl0_181 ),
inference(forward_demodulation,[],[f1445,f611]) ).
fof(f1445,plain,
( ! [X1] : multiply(sk_c7,multiply(sk_c11,X1)) = multiply(sk_c8,multiply(sk_c12,X1))
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f3190,plain,
( ~ spl0_88
| ~ spl0_92
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f3189]) ).
fof(f3189,plain,
( $false
| ~ spl0_88
| ~ spl0_92
| spl0_103 ),
inference(subsumption_resolution,[],[f3070,f648]) ).
fof(f3070,plain,
( identity != sk_c1
| ~ spl0_88
| spl0_103 ),
inference(forward_demodulation,[],[f734,f631]) ).
fof(f631,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl0_88
<=> ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f734,plain,
( identity != multiply(sk_c12,multiply(sk_c11,sk_c1))
| spl0_103 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl0_103
<=> identity = multiply(sk_c12,multiply(sk_c11,sk_c1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f3178,plain,
( ~ spl0_119
| spl0_201 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3177,plain,
( $false
| ~ spl0_119
| spl0_201 ),
inference(trivial_inequality_removal,[],[f3176]) ).
fof(f3176,plain,
( multiply(sk_c12,sk_c2) != multiply(sk_c12,sk_c2)
| ~ spl0_119
| spl0_201 ),
inference(forward_demodulation,[],[f1586,f871]) ).
fof(f1586,plain,
( multiply(sk_c12,sk_c2) != multiply(sk_c10,sk_c2)
| spl0_201 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1585,plain,
( spl0_201
<=> multiply(sk_c12,sk_c2) = multiply(sk_c10,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f3051,plain,
( spl0_92
| ~ spl0_23
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f3050,f2601,f224,f646]) ).
fof(f224,plain,
( spl0_23
<=> identity = multiply(sk_c9,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f2601,plain,
( spl0_317
<=> sk_c1 = multiply(sk_c9,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f3050,plain,
( identity = sk_c1
| ~ spl0_23
| ~ spl0_317 ),
inference(forward_demodulation,[],[f226,f2603]) ).
fof(f2603,plain,
( sk_c1 = multiply(sk_c9,sk_c6)
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f226,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f2979,plain,
( spl0_320
| ~ spl0_88
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f2978,f733,f630,f2618]) ).
fof(f2618,plain,
( spl0_320
<=> ! [X0] : multiply(sk_c1,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f2978,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_88
| ~ spl0_103 ),
inference(forward_demodulation,[],[f2977,f1]) ).
fof(f2977,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,X0)
| ~ spl0_88
| ~ spl0_103 ),
inference(forward_demodulation,[],[f775,f631]) ).
fof(f775,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c11,multiply(sk_c1,X0)))
| ~ spl0_103 ),
inference(forward_demodulation,[],[f773,f3]) ).
fof(f773,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(multiply(sk_c11,sk_c1),X0))
| ~ spl0_103 ),
inference(superposition,[],[f3,f735]) ).
fof(f735,plain,
( identity = multiply(sk_c12,multiply(sk_c11,sk_c1))
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f2916,plain,
( spl0_85
| ~ spl0_132
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f2915,f2374,f946,f610]) ).
fof(f2915,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl0_132
| ~ spl0_286 ),
inference(forward_demodulation,[],[f947,f2375]) ).
fof(f2375,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c12,X0)) = X0
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f947,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c12,X0))
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f2658,plain,
( ~ spl0_7
| spl0_222
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f2657]) ).
fof(f2657,plain,
( $false
| ~ spl0_7
| spl0_222
| ~ spl0_320 ),
inference(subsumption_resolution,[],[f2654,f1840]) ).
fof(f2654,plain,
( sk_c12 = sk_c11
| ~ spl0_7
| ~ spl0_320 ),
inference(backward_demodulation,[],[f103,f2619]) ).
fof(f2619,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2652,plain,
( spl0_293
| ~ spl0_79
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f2651,f2410,f573,f2418]) ).
fof(f573,plain,
( spl0_79
<=> ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f2651,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_79
| ~ spl0_291 ),
inference(forward_demodulation,[],[f574,f2411]) ).
fof(f574,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f2604,plain,
( spl0_317
| ~ spl0_261
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f2599,f2368,f2245,f2601]) ).
fof(f2245,plain,
( spl0_261
<=> sk_c4 = multiply(sk_c9,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f2599,plain,
( sk_c1 = multiply(sk_c9,sk_c6)
| ~ spl0_261
| ~ spl0_285 ),
inference(forward_demodulation,[],[f2247,f2370]) ).
fof(f2370,plain,
( sk_c1 = sk_c4
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f2368]) ).
fof(f2247,plain,
( sk_c4 = multiply(sk_c9,sk_c6)
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f2479,plain,
( spl0_300
| ~ spl0_184
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f2478,f2418,f1461,f2464]) ).
fof(f1461,plain,
( spl0_184
<=> ! [X0] : multiply(sk_c8,X0) = multiply(multiply(sk_c7,sk_c7),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f2478,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_184
| ~ spl0_293 ),
inference(forward_demodulation,[],[f2460,f2419]) ).
fof(f2460,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl0_184
| ~ spl0_293 ),
inference(backward_demodulation,[],[f1462,f2419]) ).
fof(f1462,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(multiply(sk_c7,sk_c7),X0)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f2412,plain,
( spl0_291
| ~ spl0_85
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f2388,f1543,f610,f2410]) ).
fof(f1543,plain,
( spl0_194
<=> ! [X1] : multiply(sk_c12,X1) = multiply(sk_c6,multiply(sk_c12,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f2388,plain,
( ! [X1] : multiply(sk_c6,X1) = X1
| ~ spl0_85
| ~ spl0_194 ),
inference(backward_demodulation,[],[f1544,f611]) ).
fof(f1544,plain,
( ! [X1] : multiply(sk_c12,X1) = multiply(sk_c6,multiply(sk_c12,X1))
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f2248,plain,
( spl0_261
| ~ spl0_23
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f2199,f651,f224,f2245]) ).
fof(f2199,plain,
( sk_c4 = multiply(sk_c9,sk_c6)
| ~ spl0_23
| ~ spl0_93 ),
inference(backward_demodulation,[],[f226,f653]) ).
fof(f2151,plain,
( spl0_88
| ~ spl0_48
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f2145,f638,f373,f630]) ).
fof(f638,plain,
( spl0_90
<=> ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f2145,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c11,X0)) = X0
| ~ spl0_48
| ~ spl0_90 ),
inference(backward_demodulation,[],[f374,f639]) ).
fof(f639,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f2144,plain,
( ~ spl0_252
| spl0_200
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f2139,f2128,f1579,f2141]) ).
fof(f1579,plain,
( spl0_200
<=> multiply(sk_c12,sk_c2) = multiply(sk_c12,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2139,plain,
( identity != multiply(sk_c12,sk_c2)
| spl0_200
| ~ spl0_250 ),
inference(backward_demodulation,[],[f1580,f2130]) ).
fof(f2130,plain,
( identity = multiply(sk_c12,identity)
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f1580,plain,
( multiply(sk_c12,sk_c2) != multiply(sk_c12,identity)
| spl0_200 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1959,plain,
( spl0_236
| ~ spl0_47
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f1953,f1742,f367,f1956]) ).
fof(f1742,plain,
( spl0_211
<=> multiply(sk_c12,sk_c2) = multiply(sk_c2,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1953,plain,
( identity = multiply(sk_c11,multiply(sk_c12,sk_c2))
| ~ spl0_47
| ~ spl0_211 ),
inference(superposition,[],[f368,f1744]) ).
fof(f1744,plain,
( multiply(sk_c12,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1861,plain,
( spl0_225
| ~ spl0_35
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f1855,f1818,f296,f1858]) ).
fof(f296,plain,
( spl0_35
<=> ! [X17] : multiply(sk_c9,multiply(sk_c7,X17)) = X17 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1818,plain,
( spl0_219
<=> sk_c12 = multiply(sk_c7,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1855,plain,
( sk_c12 = multiply(sk_c9,sk_c12)
| ~ spl0_35
| ~ spl0_219 ),
inference(superposition,[],[f297,f1820]) ).
fof(f1820,plain,
( sk_c12 = multiply(sk_c7,sk_c12)
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f297,plain,
( ! [X17] : multiply(sk_c9,multiply(sk_c7,X17)) = X17
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f1822,plain,
( spl0_219
| ~ spl0_79
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f1815,f1747,f573,f1818]) ).
fof(f1815,plain,
( sk_c12 = multiply(sk_c7,sk_c12)
| ~ spl0_79
| ~ spl0_212 ),
inference(superposition,[],[f574,f1749]) ).
fof(f1749,plain,
( sk_c12 = multiply(sk_c6,sk_c12)
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1792,plain,
( ~ spl0_200
| ~ spl0_119
| spl0_153 ),
inference(avatar_split_clause,[],[f1789,f1165,f869,f1579]) ).
fof(f1165,plain,
( spl0_153
<=> multiply(sk_c12,identity) = multiply(sk_c10,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1789,plain,
( multiply(sk_c12,sk_c2) != multiply(sk_c12,identity)
| ~ spl0_119
| spl0_153 ),
inference(forward_demodulation,[],[f1166,f871]) ).
fof(f1166,plain,
( multiply(sk_c12,identity) != multiply(sk_c10,sk_c2)
| spl0_153 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1783,plain,
( spl0_209
| ~ spl0_215
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f1782,f1770,f1764,f1655]) ).
fof(f1764,plain,
( spl0_215
<=> ! [X0] : multiply(sk_c2,X0) = multiply(sk_c12,multiply(sk_c2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1770,plain,
( spl0_216
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1782,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,X0)
| ~ spl0_215
| ~ spl0_216 ),
inference(forward_demodulation,[],[f1765,f1771]) ).
fof(f1771,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c2,X0))
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f1765,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c12,multiply(sk_c2,X0))
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1772,plain,
( spl0_216
| ~ spl0_119
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1768,f1165,f869,f1770]) ).
fof(f1768,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c2,X0))
| ~ spl0_119
| ~ spl0_153 ),
inference(forward_demodulation,[],[f1227,f871]) ).
fof(f1227,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_153 ),
inference(forward_demodulation,[],[f1226,f1]) ).
fof(f1226,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = multiply(sk_c12,multiply(identity,X0))
| ~ spl0_153 ),
inference(forward_demodulation,[],[f1225,f3]) ).
fof(f1225,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = multiply(multiply(sk_c12,identity),X0)
| ~ spl0_153 ),
inference(superposition,[],[f3,f1167]) ).
fof(f1167,plain,
( multiply(sk_c12,identity) = multiply(sk_c10,sk_c2)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1766,plain,
( spl0_215
| ~ spl0_43
| ~ spl0_47
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1762,f869,f367,f345,f1764]) ).
fof(f1762,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c12,multiply(sk_c2,X0))
| ~ spl0_43
| ~ spl0_47
| ~ spl0_119 ),
inference(forward_demodulation,[],[f1647,f871]) ).
fof(f1647,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_43
| ~ spl0_47 ),
inference(superposition,[],[f346,f368]) ).
fof(f1745,plain,
( spl0_211
| ~ spl0_41
| ~ spl0_43
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f1662,f1585,f345,f333,f1742]) ).
fof(f1662,plain,
( multiply(sk_c12,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_41
| ~ spl0_43
| ~ spl0_201 ),
inference(forward_demodulation,[],[f1650,f1587]) ).
fof(f1587,plain,
( multiply(sk_c12,sk_c2) = multiply(sk_c10,sk_c2)
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1650,plain,
( multiply(sk_c10,sk_c2) = multiply(sk_c2,identity)
| ~ spl0_41
| ~ spl0_43 ),
inference(superposition,[],[f346,f335]) ).
fof(f1725,plain,
( spl0_148
| ~ spl0_125
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f1724,f1674,f915,f1084]) ).
fof(f915,plain,
( spl0_125
<=> ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c12,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1674,plain,
( spl0_210
<=> ! [X0] : multiply(sk_c11,multiply(sk_c12,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f1724,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_125
| ~ spl0_210 ),
inference(backward_demodulation,[],[f916,f1675]) ).
fof(f1675,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c12,X0)) = X0
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f916,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c12,X0))
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f1693,plain,
( spl0_119
| ~ spl0_5
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1692,f896,f91,f869]) ).
fof(f91,plain,
( spl0_5
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1692,plain,
( sk_c12 = sk_c10
| ~ spl0_5
| ~ spl0_121 ),
inference(backward_demodulation,[],[f93,f898]) ).
fof(f898,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f93,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f1684,plain,
( spl0_127
| ~ spl0_43
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1681,f982,f345,f924]) ).
fof(f1681,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c11,X0))
| ~ spl0_43
| ~ spl0_138 ),
inference(backward_demodulation,[],[f346,f983]) ).
fof(f983,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c10,X0)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f1676,plain,
( spl0_210
| ~ spl0_47
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f1670,f1655,f367,f1674]) ).
fof(f1670,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c12,X0)) = X0
| ~ spl0_47
| ~ spl0_209 ),
inference(backward_demodulation,[],[f368,f1656]) ).
fof(f1667,plain,
( spl0_121
| ~ spl0_38
| ~ spl0_43
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1659,f545,f345,f315,f896]) ).
fof(f315,plain,
( spl0_38
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f545,plain,
( spl0_77
<=> sk_c12 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1659,plain,
( sk_c12 = multiply(sk_c2,sk_c11)
| ~ spl0_38
| ~ spl0_43
| ~ spl0_77 ),
inference(forward_demodulation,[],[f1649,f547]) ).
fof(f547,plain,
( sk_c12 = multiply(sk_c10,sk_c10)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f1649,plain,
( multiply(sk_c2,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_38
| ~ spl0_43 ),
inference(superposition,[],[f346,f317]) ).
fof(f317,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f1582,plain,
( spl0_200
| ~ spl0_192
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1577,f1543,f1532,f1579]) ).
fof(f1532,plain,
( spl0_192
<=> multiply(sk_c12,identity) = multiply(sk_c6,multiply(sk_c12,sk_c2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1577,plain,
( multiply(sk_c12,sk_c2) = multiply(sk_c12,identity)
| ~ spl0_192
| ~ spl0_194 ),
inference(forward_demodulation,[],[f1534,f1544]) ).
fof(f1534,plain,
( multiply(sk_c12,identity) = multiply(sk_c6,multiply(sk_c12,sk_c2))
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1566,plain,
( spl0_198
| ~ spl0_25
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1527,f286,f234,f1563]) ).
fof(f234,plain,
( spl0_25
<=> identity = multiply(sk_c9,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1527,plain,
( multiply(sk_c6,identity) = multiply(sk_c12,sk_c7)
| ~ spl0_25
| ~ spl0_33 ),
inference(superposition,[],[f287,f236]) ).
fof(f236,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f287,plain,
( ! [X15] : multiply(sk_c6,multiply(sk_c9,X15)) = multiply(sk_c12,X15)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f1561,plain,
( spl0_197
| ~ spl0_23
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1526,f286,f224,f1558]) ).
fof(f1526,plain,
( multiply(sk_c12,sk_c6) = multiply(sk_c6,identity)
| ~ spl0_23
| ~ spl0_33 ),
inference(superposition,[],[f287,f226]) ).
fof(f1545,plain,
( spl0_194
| ~ spl0_27
| ~ spl0_33
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1541,f309,f286,f259,f1543]) ).
fof(f259,plain,
( spl0_27
<=> ! [X9] : multiply(sk_c9,multiply(sk_c11,X9)) = multiply(sk_c12,X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1541,plain,
( ! [X1] : multiply(sk_c12,X1) = multiply(sk_c6,multiply(sk_c12,X1))
| ~ spl0_27
| ~ spl0_33
| ~ spl0_37 ),
inference(forward_demodulation,[],[f1523,f310]) ).
fof(f1523,plain,
( ! [X1] : multiply(sk_c12,multiply(sk_c11,X1)) = multiply(sk_c6,multiply(sk_c12,X1))
| ~ spl0_27
| ~ spl0_33 ),
inference(superposition,[],[f287,f260]) ).
fof(f260,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c11,X9)) = multiply(sk_c12,X9)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f1535,plain,
( spl0_192
| ~ spl0_33
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1521,f1092,f286,f1532]) ).
fof(f1092,plain,
( spl0_149
<=> multiply(sk_c9,identity) = multiply(sk_c12,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1521,plain,
( multiply(sk_c12,identity) = multiply(sk_c6,multiply(sk_c12,sk_c2))
| ~ spl0_33
| ~ spl0_149 ),
inference(superposition,[],[f287,f1094]) ).
fof(f1094,plain,
( multiply(sk_c9,identity) = multiply(sk_c12,sk_c2)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1497,plain,
( spl0_31
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1496,f224,f278]) ).
fof(f278,plain,
( spl0_31
<=> ! [X13] : multiply(sk_c9,multiply(sk_c6,X13)) = X13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1496,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1484,f1]) ).
fof(f1484,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_23 ),
inference(superposition,[],[f3,f226]) ).
fof(f1468,plain,
( ~ spl0_35
| spl0_84
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1467,plain,
( $false
| ~ spl0_35
| spl0_84
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f1466,f600]) ).
fof(f600,plain,
( sk_c6 != sk_c7
| spl0_84 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f1466,plain,
( sk_c6 = sk_c7
| ~ spl0_35
| ~ spl0_183 ),
inference(forward_demodulation,[],[f1464,f297]) ).
fof(f1464,plain,
( sk_c6 = multiply(sk_c9,multiply(sk_c7,sk_c7))
| ~ spl0_35
| ~ spl0_183 ),
inference(superposition,[],[f297,f1456]) ).
fof(f1456,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c6)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1454,plain,
( spl0_183
<=> multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1463,plain,
( spl0_184
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1459,f1429,f1461]) ).
fof(f1429,plain,
( spl0_178
<=> multiply(sk_c7,sk_c7) = multiply(sk_c8,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1459,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(multiply(sk_c7,sk_c7),X0)
| ~ spl0_178 ),
inference(forward_demodulation,[],[f1458,f1]) ).
fof(f1458,plain,
( ! [X0] : multiply(multiply(sk_c7,sk_c7),X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_178 ),
inference(superposition,[],[f3,f1431]) ).
fof(f1431,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c8,identity)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1457,plain,
( spl0_183
| ~ spl0_178
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1452,f1434,f1429,f1454]) ).
fof(f1434,plain,
( spl0_179
<=> multiply(sk_c7,sk_c6) = multiply(sk_c8,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1452,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c6)
| ~ spl0_178
| ~ spl0_179 ),
inference(backward_demodulation,[],[f1436,f1431]) ).
fof(f1436,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c8,identity)
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f1451,plain,
( spl0_182
| ~ spl0_32
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1374,f296,f282,f1449]) ).
fof(f282,plain,
( spl0_32
<=> ! [X14] : multiply(sk_c8,multiply(sk_c9,X14)) = multiply(sk_c7,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1374,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f283,f297]) ).
fof(f283,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c9,X14)) = multiply(sk_c7,X14)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f1446,plain,
( spl0_181
| ~ spl0_27
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1375,f282,f259,f1444]) ).
fof(f1375,plain,
( ! [X1] : multiply(sk_c7,multiply(sk_c11,X1)) = multiply(sk_c8,multiply(sk_c12,X1))
| ~ spl0_27
| ~ spl0_32 ),
inference(superposition,[],[f283,f260]) ).
fof(f1437,plain,
( spl0_179
| ~ spl0_23
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1378,f282,f224,f1434]) ).
fof(f1378,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c8,identity)
| ~ spl0_23
| ~ spl0_32 ),
inference(superposition,[],[f283,f226]) ).
fof(f1432,plain,
( spl0_178
| ~ spl0_25
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1379,f282,f234,f1429]) ).
fof(f1379,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c8,identity)
| ~ spl0_25
| ~ spl0_32 ),
inference(superposition,[],[f283,f236]) ).
fof(f1403,plain,
( spl0_173
| ~ spl0_32
| ~ spl0_49
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1398,f1065,f379,f282,f1400]) ).
fof(f1065,plain,
( spl0_145
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c8,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1398,plain,
( multiply(sk_c7,sk_c12) = multiply(sk_c12,sk_c9)
| ~ spl0_32
| ~ spl0_49
| ~ spl0_145 ),
inference(forward_demodulation,[],[f1376,f1066]) ).
fof(f1066,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c8,X0)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1376,plain,
( multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12)
| ~ spl0_32
| ~ spl0_49 ),
inference(superposition,[],[f283,f381]) ).
fof(f1305,plain,
( spl0_146
| ~ spl0_29
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1274,f836,f268,f1070]) ).
fof(f268,plain,
( spl0_29
<=> ! [X11] : multiply(sk_c12,multiply(sk_c4,X11)) = X11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f836,plain,
( spl0_114
<=> ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1274,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c9,X0)
| ~ spl0_29
| ~ spl0_114 ),
inference(superposition,[],[f269,f837]) ).
fof(f837,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = X0
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f269,plain,
( ! [X11] : multiply(sk_c12,multiply(sk_c4,X11)) = X11
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f1156,plain,
( spl0_39
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1042,f315,f322]) ).
fof(f322,plain,
( spl0_39
<=> ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1042,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_38 ),
inference(superposition,[],[f3,f317]) ).
fof(f1155,plain,
( spl0_78
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1045,f545,f552]) ).
fof(f552,plain,
( spl0_78
<=> ! [X0] : multiply(sk_c12,X0) = multiply(sk_c10,multiply(sk_c10,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1045,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_77 ),
inference(superposition,[],[f3,f547]) ).
fof(f1153,plain,
( spl0_43
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1019,f91,f345]) ).
fof(f1019,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c11,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f93]) ).
fof(f1095,plain,
( spl0_149
| ~ spl0_27
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f782,f333,f259,f1092]) ).
fof(f782,plain,
( multiply(sk_c9,identity) = multiply(sk_c12,sk_c2)
| ~ spl0_27
| ~ spl0_41 ),
inference(superposition,[],[f260,f335]) ).
fof(f1067,plain,
( spl0_145
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1063,f829,f1065]) ).
fof(f829,plain,
( spl0_113
<=> sk_c8 = multiply(sk_c12,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1063,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c8,X0)
| ~ spl0_113 ),
inference(forward_demodulation,[],[f1056,f1]) ).
fof(f1056,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c12,multiply(identity,X0))
| ~ spl0_113 ),
inference(superposition,[],[f3,f831]) ).
fof(f831,plain,
( sk_c8 = multiply(sk_c12,identity)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f948,plain,
( spl0_132
| ~ spl0_78
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f885,f869,f552,f946]) ).
fof(f885,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c12,X0))
| ~ spl0_78
| ~ spl0_119 ),
inference(backward_demodulation,[],[f553,f871]) ).
fof(f553,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f944,plain,
( spl0_131
| ~ spl0_77
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f884,f869,f545,f941]) ).
fof(f884,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_77
| ~ spl0_119 ),
inference(backward_demodulation,[],[f547,f871]) ).
fof(f922,plain,
( spl0_126
| ~ spl0_40
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f879,f869,f327,f919]) ).
fof(f327,plain,
( spl0_40
<=> identity = multiply(sk_c10,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f879,plain,
( identity = multiply(sk_c12,sk_c3)
| ~ spl0_40
| ~ spl0_119 ),
inference(backward_demodulation,[],[f329,f871]) ).
fof(f329,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f917,plain,
( spl0_125
| ~ spl0_39
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f878,f869,f322,f915]) ).
fof(f878,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c12,X0))
| ~ spl0_39
| ~ spl0_119 ),
inference(backward_demodulation,[],[f323,f871]) ).
fof(f323,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f904,plain,
( spl0_122
| ~ spl0_6
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f875,f869,f96,f901]) ).
fof(f96,plain,
( spl0_6
<=> sk_c10 = multiply(sk_c3,sk_c12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f875,plain,
( sk_c12 = multiply(sk_c3,sk_c12)
| ~ spl0_6
| ~ spl0_119 ),
inference(backward_demodulation,[],[f98,f871]) ).
fof(f98,plain,
( sk_c10 = multiply(sk_c3,sk_c12)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f872,plain,
( spl0_119
| ~ spl0_16
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f867,f856,f151,f869]) ).
fof(f151,plain,
( spl0_16
<=> multiply(sk_c5,sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f867,plain,
( sk_c12 = sk_c10
| ~ spl0_16
| ~ spl0_117 ),
inference(backward_demodulation,[],[f153,f858]) ).
fof(f858,plain,
( sk_c12 = multiply(sk_c5,sk_c11)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f153,plain,
( multiply(sk_c5,sk_c11) = sk_c10
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f838,plain,
( spl0_114
| ~ spl0_53
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f834,f821,f407,f836]) ).
fof(f407,plain,
( spl0_53
<=> ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f821,plain,
( spl0_112
<=> identity = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f834,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = X0
| ~ spl0_53
| ~ spl0_112 ),
inference(forward_demodulation,[],[f833,f1]) ).
fof(f833,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_53
| ~ spl0_112 ),
inference(forward_demodulation,[],[f827,f408]) ).
fof(f408,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f827,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_112 ),
inference(superposition,[],[f3,f823]) ).
fof(f823,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f832,plain,
( spl0_113
| ~ spl0_29
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f826,f821,f268,f829]) ).
fof(f826,plain,
( sk_c8 = multiply(sk_c12,identity)
| ~ spl0_29
| ~ spl0_112 ),
inference(superposition,[],[f269,f823]) ).
fof(f824,plain,
( spl0_112
| ~ spl0_26
| ~ spl0_41
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f819,f799,f333,f255,f821]) ).
fof(f255,plain,
( spl0_26
<=> ! [X8] : multiply(sk_c4,multiply(sk_c12,X8)) = multiply(sk_c11,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f799,plain,
( spl0_109
<=> sk_c8 = multiply(sk_c12,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f819,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl0_26
| ~ spl0_41
| ~ spl0_109 ),
inference(forward_demodulation,[],[f817,f335]) ).
fof(f817,plain,
( multiply(sk_c11,sk_c2) = multiply(sk_c4,sk_c8)
| ~ spl0_26
| ~ spl0_109 ),
inference(superposition,[],[f256,f801]) ).
fof(f801,plain,
( sk_c8 = multiply(sk_c12,sk_c2)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f256,plain,
( ! [X8] : multiply(sk_c4,multiply(sk_c12,X8)) = multiply(sk_c11,X8)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f802,plain,
( spl0_109
| ~ spl0_27
| ~ spl0_41
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f797,f411,f333,f259,f799]) ).
fof(f411,plain,
( spl0_54
<=> sk_c8 = multiply(sk_c9,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f797,plain,
( sk_c8 = multiply(sk_c12,sk_c2)
| ~ spl0_27
| ~ spl0_41
| ~ spl0_54 ),
inference(forward_demodulation,[],[f782,f413]) ).
fof(f413,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f694,plain,
( spl0_97
| ~ spl0_14
| ~ spl0_26
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f689,f302,f255,f141,f691]) ).
fof(f689,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_14
| ~ spl0_26
| ~ spl0_36 ),
inference(forward_demodulation,[],[f672,f143]) ).
fof(f672,plain,
( multiply(sk_c4,sk_c12) = multiply(sk_c11,sk_c11)
| ~ spl0_26
| ~ spl0_36 ),
inference(superposition,[],[f256,f304]) ).
fof(f304,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f649,plain,
( spl0_92
| ~ spl0_42
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f619,f610,f339,f646]) ).
fof(f619,plain,
( identity = sk_c1
| ~ spl0_42
| ~ spl0_85 ),
inference(backward_demodulation,[],[f341,f611]) ).
fof(f640,plain,
( spl0_90
| ~ spl0_45
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f617,f610,f355,f638]) ).
fof(f617,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl0_45
| ~ spl0_85 ),
inference(backward_demodulation,[],[f356,f611]) ).
fof(f612,plain,
( spl0_85
| ~ spl0_33
| ~ spl0_56
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f608,f599,f423,f286,f610]) ).
fof(f608,plain,
( ! [X15] : multiply(sk_c12,X15) = X15
| ~ spl0_33
| ~ spl0_56
| ~ spl0_84 ),
inference(forward_demodulation,[],[f604,f424]) ).
fof(f604,plain,
( ! [X15] : multiply(sk_c12,X15) = multiply(sk_c7,multiply(sk_c9,X15))
| ~ spl0_33
| ~ spl0_84 ),
inference(backward_demodulation,[],[f287,f601]) ).
fof(f585,plain,
( spl0_81
| ~ spl0_15
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f568,f423,f146,f582]) ).
fof(f146,plain,
( spl0_15
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f568,plain,
( sk_c11 = multiply(sk_c7,sk_c12)
| ~ spl0_15
| ~ spl0_56 ),
inference(superposition,[],[f424,f148]) ).
fof(f148,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f575,plain,
( spl0_79
| ~ spl0_31
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f566,f423,f278,f573]) ).
fof(f566,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
| ~ spl0_31
| ~ spl0_56 ),
inference(superposition,[],[f424,f279]) ).
fof(f279,plain,
( ! [X13] : multiply(sk_c9,multiply(sk_c6,X13)) = X13
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f560,plain,
( spl0_38
| ~ spl0_5
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f555,f367,f91,f315]) ).
fof(f555,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_5
| ~ spl0_47 ),
inference(superposition,[],[f368,f93]) ).
fof(f548,plain,
( spl0_77
| ~ spl0_6
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f542,f361,f96,f545]) ).
fof(f361,plain,
( spl0_46
<=> ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f542,plain,
( sk_c12 = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_46 ),
inference(superposition,[],[f362,f98]) ).
fof(f362,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f464,plain,
( ~ spl0_61
| spl0_59
| ~ spl0_60
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f459,f196,f121,f453,f450,f461]) ).
fof(f121,plain,
( spl0_10
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f459,plain,
( ! [X1] :
( sk_c12 != multiply(inverse(sk_c12),sk_c11)
| sk_c12 != multiply(X1,inverse(sk_c12))
| inverse(X1) != inverse(sk_c12)
| sk_c12 != multiply(sk_c4,inverse(sk_c12)) )
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f458,f123]) ).
fof(f123,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f458,plain,
( ! [X1] :
( sk_c12 != multiply(X1,inverse(sk_c12))
| inverse(X1) != inverse(sk_c12)
| sk_c12 != multiply(sk_c4,inverse(sk_c12))
| sk_c12 != multiply(inverse(inverse(sk_c4)),sk_c11) )
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f457,f123]) ).
fof(f457,plain,
( ! [X1] :
( inverse(X1) != inverse(sk_c12)
| sk_c12 != multiply(sk_c4,inverse(sk_c12))
| sk_c12 != multiply(X1,inverse(inverse(sk_c4)))
| sk_c12 != multiply(inverse(inverse(sk_c4)),sk_c11) )
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f434,f123]) ).
fof(f434,plain,
( ! [X1] :
( sk_c12 != multiply(sk_c4,inverse(sk_c12))
| inverse(X1) != inverse(inverse(sk_c4))
| sk_c12 != multiply(X1,inverse(inverse(sk_c4)))
| sk_c12 != multiply(inverse(inverse(sk_c4)),sk_c11) )
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f197,f123]) ).
fof(f425,plain,
( spl0_56
| ~ spl0_34
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f421,f407,f291,f423]) ).
fof(f291,plain,
( spl0_34
<=> ! [X16] : multiply(sk_c7,multiply(sk_c8,X16)) = X16 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f421,plain,
( ! [X16] : multiply(sk_c7,multiply(sk_c9,X16)) = X16
| ~ spl0_34
| ~ spl0_53 ),
inference(backward_demodulation,[],[f292,f408]) ).
fof(f292,plain,
( ! [X16] : multiply(sk_c7,multiply(sk_c8,X16)) = X16
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f414,plain,
( spl0_54
| ~ spl0_24
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f403,f296,f229,f411]) ).
fof(f229,plain,
( spl0_24
<=> identity = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f403,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl0_24
| ~ spl0_35 ),
inference(superposition,[],[f297,f231]) ).
fof(f231,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f409,plain,
( spl0_53
| ~ spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f402,f296,f291,f407]) ).
fof(f402,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
| ~ spl0_34
| ~ spl0_35 ),
inference(superposition,[],[f297,f292]) ).
fof(f401,plain,
( spl0_52
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f397,f392,f399]) ).
fof(f392,plain,
( spl0_51
<=> sk_c9 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f397,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_51 ),
inference(superposition,[],[f3,f394]) ).
fof(f394,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
( spl0_51
| ~ spl0_12
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f389,f291,f131,f392]) ).
fof(f389,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_34 ),
inference(superposition,[],[f292,f133]) ).
fof(f382,plain,
( spl0_49
| ~ spl0_13
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f376,f278,f136,f379]) ).
fof(f376,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl0_13
| ~ spl0_31 ),
inference(superposition,[],[f279,f138]) ).
fof(f375,plain,
( spl0_48
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f371,f339,f373]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
| ~ spl0_42 ),
inference(forward_demodulation,[],[f370,f1]) ).
fof(f370,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c1,X0))
| ~ spl0_42 ),
inference(superposition,[],[f3,f341]) ).
fof(f369,plain,
( spl0_47
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f365,f333,f367]) ).
fof(f365,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
| ~ spl0_41 ),
inference(forward_demodulation,[],[f364,f1]) ).
fof(f364,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c2,X0))
| ~ spl0_41 ),
inference(superposition,[],[f3,f335]) ).
fof(f363,plain,
( spl0_46
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f359,f327,f361]) ).
fof(f359,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_40 ),
inference(forward_demodulation,[],[f358,f1]) ).
fof(f358,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_40 ),
inference(superposition,[],[f3,f329]) ).
fof(f357,plain,
( spl0_45
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f353,f101,f355]) ).
fof(f353,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c12,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f103]) ).
fof(f342,plain,
( spl0_42
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f337,f86,f339]) ).
fof(f337,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_4 ),
inference(superposition,[],[f2,f88]) ).
fof(f336,plain,
( spl0_41
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f331,f81,f333]) ).
fof(f331,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_3 ),
inference(superposition,[],[f2,f83]) ).
fof(f330,plain,
( spl0_40
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f325,f72,f327]) ).
fof(f72,plain,
( spl0_1
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f325,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f2,f74]) ).
fof(f74,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f318,plain,
( spl0_38
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f312,f273,f151,f315]) ).
fof(f273,plain,
( spl0_30
<=> ! [X12] : multiply(sk_c11,multiply(sk_c5,X12)) = X12 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f312,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_30 ),
inference(superposition,[],[f274,f153]) ).
fof(f274,plain,
( ! [X12] : multiply(sk_c11,multiply(sk_c5,X12)) = X12
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f311,plain,
( spl0_37
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f307,f302,f309]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
| ~ spl0_36 ),
inference(superposition,[],[f3,f304]) ).
fof(f305,plain,
( spl0_36
| ~ spl0_14
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f299,f268,f141,f302]) ).
fof(f299,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_14
| ~ spl0_29 ),
inference(superposition,[],[f269,f143]) ).
fof(f298,plain,
( spl0_35
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f294,f234,f296]) ).
fof(f294,plain,
( ! [X17] : multiply(sk_c9,multiply(sk_c7,X17)) = X17
| ~ spl0_25 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f250,plain,
( ! [X17] : multiply(sk_c9,multiply(sk_c7,X17)) = multiply(identity,X17)
| ~ spl0_25 ),
inference(superposition,[],[f3,f236]) ).
fof(f293,plain,
( spl0_34
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f289,f229,f291]) ).
fof(f289,plain,
( ! [X16] : multiply(sk_c7,multiply(sk_c8,X16)) = X16
| ~ spl0_24 ),
inference(forward_demodulation,[],[f249,f1]) ).
fof(f249,plain,
( ! [X16] : multiply(sk_c7,multiply(sk_c8,X16)) = multiply(identity,X16)
| ~ spl0_24 ),
inference(superposition,[],[f3,f231]) ).
fof(f284,plain,
( spl0_32
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f247,f131,f282]) ).
fof(f247,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c9,X14)) = multiply(sk_c7,X14)
| ~ spl0_12 ),
inference(superposition,[],[f3,f133]) ).
fof(f275,plain,
( spl0_30
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f271,f219,f273]) ).
fof(f271,plain,
( ! [X12] : multiply(sk_c11,multiply(sk_c5,X12)) = X12
| ~ spl0_22 ),
inference(forward_demodulation,[],[f245,f1]) ).
fof(f245,plain,
( ! [X12] : multiply(sk_c11,multiply(sk_c5,X12)) = multiply(identity,X12)
| ~ spl0_22 ),
inference(superposition,[],[f3,f221]) ).
fof(f270,plain,
( spl0_29
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f266,f214,f268]) ).
fof(f266,plain,
( ! [X11] : multiply(sk_c12,multiply(sk_c4,X11)) = X11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f244,f1]) ).
fof(f244,plain,
( ! [X11] : multiply(sk_c12,multiply(sk_c4,X11)) = multiply(identity,X11)
| ~ spl0_21 ),
inference(superposition,[],[f3,f216]) ).
fof(f261,plain,
( spl0_27
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f242,f146,f259]) ).
fof(f242,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c11,X9)) = multiply(sk_c12,X9)
| ~ spl0_15 ),
inference(superposition,[],[f3,f148]) ).
fof(f257,plain,
( spl0_26
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f241,f141,f255]) ).
fof(f241,plain,
( ! [X8] : multiply(sk_c4,multiply(sk_c12,X8)) = multiply(sk_c11,X8)
| ~ spl0_14 ),
inference(superposition,[],[f3,f143]) ).
fof(f237,plain,
( spl0_25
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f212,f106,f234]) ).
fof(f212,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f2,f108]) ).
fof(f232,plain,
( spl0_24
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f211,f126,f229]) ).
fof(f126,plain,
( spl0_11
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f211,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_11 ),
inference(superposition,[],[f2,f128]) ).
fof(f128,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f227,plain,
( spl0_23
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f210,f76,f224]) ).
fof(f76,plain,
( spl0_2
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f210,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f222,plain,
( spl0_22
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f209,f116,f219]) ).
fof(f116,plain,
( spl0_9
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f209,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f2,f118]) ).
fof(f118,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f217,plain,
( spl0_21
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f208,f121,f214]) ).
fof(f208,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f2,f123]) ).
fof(f207,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f70,f205,f202,f199,f196]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( inverse(X0) != sk_c11
| sk_c12 != inverse(X1)
| sk_c10 != inverse(X2)
| inverse(X3) != inverse(inverse(X4))
| sk_c10 != multiply(X0,sk_c11)
| sk_c10 != multiply(X2,sk_c12)
| sk_c11 != multiply(X1,sk_c12)
| sk_c12 != multiply(inverse(inverse(X4)),sk_c11)
| sk_c12 != multiply(X3,inverse(inverse(X4)))
| inverse(X4) != multiply(X4,inverse(inverse(X4))) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4] :
( inverse(X0) != sk_c11
| sk_c12 != inverse(X1)
| sk_c10 != inverse(X2)
| inverse(X3) != inverse(inverse(X4))
| sk_c10 != multiply(X0,sk_c11)
| sk_c10 != multiply(X0,sk_c11)
| sk_c10 != multiply(X2,sk_c12)
| sk_c11 != multiply(X1,sk_c12)
| sk_c12 != multiply(inverse(inverse(X4)),sk_c11)
| sk_c12 != multiply(X3,inverse(inverse(X4)))
| inverse(X4) != multiply(X4,inverse(inverse(X4))) ),
inference(condensation,[],[f68]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c12
| sk_c10 != inverse(X1)
| sk_c11 != inverse(X2)
| sk_c11 != inverse(X3)
| inverse(X4) != inverse(inverse(X5))
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != multiply(X1,sk_c12)
| sk_c11 != multiply(X0,sk_c12)
| sk_c12 != multiply(inverse(inverse(X5)),sk_c11)
| sk_c12 != multiply(X4,inverse(inverse(X5)))
| inverse(X5) != multiply(X5,inverse(inverse(X5))) ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X0) != sk_c12
| sk_c10 != inverse(X1)
| sk_c11 != inverse(X2)
| sk_c11 != inverse(X3)
| inverse(X4) != inverse(inverse(X5))
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != multiply(X1,sk_c12)
| sk_c11 != multiply(X0,sk_c12)
| sk_c11 != multiply(X0,sk_c12)
| sk_c12 != multiply(inverse(inverse(X5)),sk_c11)
| sk_c12 != multiply(X4,inverse(inverse(X5)))
| inverse(X5) != multiply(X5,inverse(inverse(X5))) ),
inference(condensation,[],[f66]) ).
fof(f66,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c12 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c11 != inverse(X4)
| sk_c12 != inverse(X6)
| inverse(X8) != inverse(inverse(X10))
| sk_c10 != multiply(X4,sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| inverse(X10) != multiply(X10,inverse(inverse(X10))) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c12 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c11 != inverse(X4)
| sk_c12 != inverse(X6)
| inverse(inverse(X10)) != X9
| inverse(X8) != X9
| sk_c10 != multiply(X4,sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| inverse(X10) != multiply(X10,X9) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c12 != inverse(X3)
| sk_c11 != inverse(X7)
| sk_c11 != inverse(X4)
| sk_c12 != inverse(X6)
| inverse(X10) != X11
| inverse(X11) != X9
| inverse(X8) != X9
| sk_c10 != multiply(X4,sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != multiply(X5,sk_c12)
| sk_c11 != multiply(X6,sk_c12)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != multiply(X9,sk_c11)
| sk_c12 != multiply(X8,X9)
| multiply(X10,X9) != X11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_61) ).
fof(f192,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f4,f141,f101]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_1) ).
fof(f191,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f8,f136,f101]) ).
fof(f8,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_5) ).
fof(f190,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f91,f151]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_23) ).
fof(f186,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f91,f141]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_21) ).
fof(f184,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f58,f96,f136]) ).
fof(f58,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_55) ).
fof(f183,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f91,f136]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_25) ).
fof(f182,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f13,f131,f101]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_10) ).
fof(f181,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f63,f131,f96]) ).
fof(f63,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_60) ).
fof(f180,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f33,f131,f91]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_30) ).
fof(f179,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f11,f126,f101]) ).
fof(f11,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_8) ).
fof(f178,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f31,f126,f91]) ).
fof(f31,axiom,
( inverse(sk_c8) = sk_c7
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_28) ).
fof(f177,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f61,f126,f96]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c10 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_58) ).
fof(f176,plain,
( spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f36,f81,f151]) ).
fof(f36,axiom,
( sk_c11 = inverse(sk_c2)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_33) ).
fof(f175,plain,
( spl0_16
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f86,f151]) ).
fof(f16,axiom,
( sk_c12 = inverse(sk_c1)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_13) ).
fof(f174,plain,
( spl0_15
| spl0_3 ),
inference(avatar_split_clause,[],[f40,f81,f146]) ).
fof(f40,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_37) ).
fof(f173,plain,
( spl0_15
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f86,f146]) ).
fof(f20,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_17) ).
fof(f172,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f86,f141]) ).
fof(f14,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_11) ).
fof(f171,plain,
( spl0_14
| spl0_3 ),
inference(avatar_split_clause,[],[f34,f81,f141]) ).
fof(f34,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_31) ).
fof(f170,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f86,f136]) ).
fof(f18,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_15) ).
fof(f169,plain,
( spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f38,f81,f136]) ).
fof(f38,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_35) ).
fof(f168,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f86,f131]) ).
fof(f23,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_20) ).
fof(f167,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f43,f81,f131]) ).
fof(f43,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_40) ).
fof(f166,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f86,f126]) ).
fof(f21,axiom,
( sk_c12 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_18) ).
fof(f165,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f41,f81,f126]) ).
fof(f41,axiom,
( sk_c11 = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_38) ).
fof(f163,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f121,f101]) ).
fof(f5,axiom,
( sk_c12 = inverse(sk_c4)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_2) ).
fof(f160,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f116,f91]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_24) ).
fof(f159,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f121,f91]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_22) ).
fof(f158,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f35,f121,f81]) ).
fof(f35,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_32) ).
fof(f157,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f17,f116,f86]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_14) ).
fof(f156,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f37,f116,f81]) ).
fof(f37,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_34) ).
fof(f155,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f15,f121,f86]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_12) ).
fof(f139,plain,
( spl0_13
| spl0_1 ),
inference(avatar_split_clause,[],[f48,f72,f136]) ).
fof(f48,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_45) ).
fof(f134,plain,
( spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f53,f72,f131]) ).
fof(f53,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_50) ).
fof(f129,plain,
( spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f51,f72,f126]) ).
fof(f51,axiom,
( sk_c10 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_48) ).
fof(f114,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f106,f101]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c7)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_9) ).
fof(f113,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f32,f106,f91]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_29) ).
fof(f112,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f62,f106,f96]) ).
fof(f62,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_59) ).
fof(f111,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f22,f106,f86]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_19) ).
fof(f110,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f42,f106,f81]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_39) ).
fof(f109,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f52,f106,f72]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_49) ).
fof(f104,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f76,f101]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_6) ).
fof(f99,plain,
( spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f59,f76,f96]) ).
fof(f59,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c12) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_56) ).
fof(f94,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f76,f91]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_26) ).
fof(f89,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f76,f86]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_16) ).
fof(f84,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f76,f81]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_36) ).
fof(f79,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f49,f76,f72]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960',prove_this_46) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP254-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Tue Aug 29 01:05:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ongMRyD3jH/Vampire---4.8_22960
% 0.13/0.35 % (23210)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.40 % (23211)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.13/0.41 % (23214)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.13/0.41 % (23213)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.13/0.41 % (23216)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.13/0.41 % (23215)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.13/0.42 % (23218)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.13/0.42 % (23212)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.20/0.43 % (23213)Refutation not found, incomplete strategy% (23213)------------------------------
% 0.20/0.43 % (23213)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43 % (23213)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43 % (23213)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43 % (23213)Memory used [KB]: 10234
% 0.20/0.43 % (23213)Time elapsed: 0.016 s
% 0.20/0.43 % (23213)------------------------------
% 0.20/0.43 % (23213)------------------------------
% 0.20/0.48 % (23218)Refutation not found, incomplete strategy% (23218)------------------------------
% 0.20/0.48 % (23218)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.48 % (23218)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.48 % (23218)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (23218)Memory used [KB]: 1151
% 0.20/0.48 % (23218)Time elapsed: 0.068 s
% 0.20/0.48 % (23218)------------------------------
% 0.20/0.48 % (23218)------------------------------
% 0.20/0.49 % (23235)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_401 on Vampire---4 for (401ds/0Mi)
% 0.20/0.52 % (23251)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_398 on Vampire---4 for (398ds/0Mi)
% 1.66/0.59 % (23215)First to succeed.
% 1.66/0.60 % (23215)Refutation found. Thanks to Tanya!
% 1.66/0.60 % SZS status Unsatisfiable for Vampire---4
% 1.66/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 1.66/0.60 % (23215)------------------------------
% 1.66/0.60 % (23215)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.66/0.60 % (23215)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.66/0.60 % (23215)Termination reason: Refutation
% 1.66/0.60
% 1.66/0.60 % (23215)Memory used [KB]: 11897
% 1.66/0.60 % (23215)Time elapsed: 0.182 s
% 1.66/0.60 % (23215)------------------------------
% 1.66/0.60 % (23215)------------------------------
% 1.66/0.60 % (23210)Success in time 0.244 s
% 1.66/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------