TSTP Solution File: ALG032+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG032+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n015.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 : Wed Aug 31 15:42:05 EDT 2022
% Result : Theorem 3.50s 0.95s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 373
% Syntax : Number of formulae : 2000 ( 106 unt; 0 def)
% Number of atoms : 10211 (4791 equ)
% Maximal formula atoms : 534 ( 5 avg)
% Number of connectives : 14689 (6478 ~;6568 |;1316 &)
% ( 327 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 325 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 371 ( 369 usr; 370 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4676,plain,
$false,
inference(avatar_sat_refutation,[],[f578,f619,f628,f1816,f1826,f1827,f1868,f1879,f1885,f1896,f1902,f1958,f1979,f1980,f1981,f2031,f2032,f2042,f2069,f2079,f2099,f2110,f2130,f2135,f2160,f2171,f2212,f2228,f2229,f2245,f2261,f2271,f2321,f2341,f2347,f2372,f2387,f2438,f2443,f2448,f2489,f2545,f2566,f2576,f2597,f2602,f2622,f2623,f2639,f2660,f2670,f2675,f2681,f2697,f2707,f2808,f2870,f2885,f2890,f2891,f2901,f2907,f2923,f2928,f2938,f2954,f2989,f3005,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f3017,f3018,f3019,f3020,f3021,f3022,f3023,f3024,f3027,f3033,f3039,f3044,f3050,f3060,f3064,f3071,f3074,f3082,f3087,f3093,f3101,f3104,f3111,f3116,f3126,f3130,f3137,f3142,f3152,f3156,f3166,f3170,f3178,f3185,f3192,f3201,f3208,f3215,f3219,f3227,f3233,f3243,f3250,f3257,f3262,f3272,f3277,f3288,f3296,f3300,f3309,f3314,f3322,f3333,f3340,f3345,f3354,f3359,f3364,f3370,f3381,f3388,f3394,f3399,f3407,f3414,f3423,f3431,f3436,f3447,f3452,f3463,f3467,f3474,f3482,f3485,f3492,f3497,f3503,f3510,f3516,f3527,f3531,f3540,f3548,f3553,f3562,f3567,f3573,f3584,f3592,f3597,f3607,f3612,f3619,f3626,f3635,f3639,f3647,f3653,f3659,f3666,f3673,f3676,f3683,f3689,f3694,f3701,f3707,f3717,f3722,f3733,f3740,f3747,f3750,f3759,f3763,f3771,f3780,f3787,f3792,f3802,f3806,f3816,f3819,f3827,f3834,f3840,f3845,f3853,f3861,f3870,f3876,f3881,f3888,f3897,f3902,f3912,f3920,f3926,f3932,f3938,f3942,f3947,f3956,f3963,f3966,f3973,f3978,f3984,f3995,f4003,f4007,f4013,f4021,f4029,f4034,f4044,f4049,f4057,f4062,f4072,f4080,f4084,f4093,f4100,f4107,f4115,f4123,f4130,f4136,f4140,f4150,f4154,f4161,f4167,f4176,f4184,f4191,f4195,f4203,f4207,f4214,f4218,f4227,f4235,f4239,f4247,f4253,f4260,f4268,f4278,f4283,f4290,f4297,f4303,f4312,f4318,f4324,f4329,f4338,f4343,f4349,f4357,f4360,f4367,f4373,f4380,f4385,f4391,f4396,f4404,f4415,f4422,f4427,f4436,f4440,f4448,f4455,f4461,f4466,f4471,f4474,f4481,f4489,f4493,f4499,f4506,f4513,f4521,f4529,f4534,f4542,f4552,f4558,f4563,f4574,f4579,f4589,f4594,f4600,f4607,f4617,f4624,f4629,f4634,f4644,f4652,f4660,f4665,f4672]) ).
fof(f4672,plain,
( ~ spl42_6
| ~ spl42_305
| spl42_307
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f4671]) ).
fof(f4671,plain,
( $false
| ~ spl42_6
| ~ spl42_305
| spl42_307
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f4670,f1781]) ).
fof(f1781,plain,
( e5 = op(e5,unit)
| ~ spl42_305 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1780,plain,
( spl42_305
<=> e5 = op(e5,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_305])]) ).
fof(f4670,plain,
( e5 != op(e5,unit)
| ~ spl42_6
| spl42_307
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4669,f2600]) ).
fof(f2600,plain,
( e5 = op(e2,e4)
| ~ spl42_464 ),
inference(avatar_component_clause,[],[f2599]) ).
fof(f2599,plain,
( spl42_464
<=> e5 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_464])]) ).
fof(f4669,plain,
( op(e2,e4) != op(op(e2,e4),unit)
| ~ spl42_6
| spl42_307 ),
inference(forward_demodulation,[],[f1790,f576]) ).
fof(f576,plain,
( e4 = op(e4,unit)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f575,plain,
( spl42_6
<=> e4 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).
fof(f1790,plain,
( op(op(e2,e4),unit) != op(e2,op(e4,unit))
| spl42_307 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1788,plain,
( spl42_307
<=> op(op(e2,e4),unit) = op(e2,op(e4,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_307])]) ).
fof(f4665,plain,
( spl42_306
| ~ spl42_362
| ~ spl42_464
| ~ spl42_478
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4664]) ).
fof(f4664,plain,
( $false
| spl42_306
| ~ spl42_362
| ~ spl42_464
| ~ spl42_478
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4663,f2077]) ).
fof(f2077,plain,
( e5 = op(e1,e3)
| ~ spl42_362 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2076,plain,
( spl42_362
<=> e5 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_362])]) ).
fof(f4663,plain,
( e5 != op(e1,e3)
| spl42_306
| ~ spl42_464
| ~ spl42_478
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4662,f2600]) ).
fof(f4662,plain,
( op(e1,e3) != op(e2,e4)
| spl42_306
| ~ spl42_478
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4661,f2673]) ).
fof(f2673,plain,
( e2 = op(e1,e4)
| ~ spl42_478 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f2672,plain,
( spl42_478
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_478])]) ).
fof(f4661,plain,
( op(e1,e3) != op(op(e1,e4),e4)
| spl42_306
| ~ spl42_529 ),
inference(forward_demodulation,[],[f1786,f2936]) ).
fof(f2936,plain,
( e3 = op(e4,e4)
| ~ spl42_529 ),
inference(avatar_component_clause,[],[f2935]) ).
fof(f2935,plain,
( spl42_529
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_529])]) ).
fof(f1786,plain,
( op(op(e1,e4),e4) != op(e1,op(e4,e4))
| spl42_306 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1784,plain,
( spl42_306
<=> op(op(e1,e4),e4) = op(e1,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_306])]) ).
fof(f4660,plain,
( spl42_304
| ~ spl42_314
| ~ spl42_366
| ~ spl42_519
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4659]) ).
fof(f4659,plain,
( $false
| spl42_304
| ~ spl42_314
| ~ spl42_366
| ~ spl42_519
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4658,f2936]) ).
fof(f4658,plain,
( e3 != op(e4,e4)
| spl42_304
| ~ spl42_314
| ~ spl42_366
| ~ spl42_519 ),
inference(forward_demodulation,[],[f4657,f1824]) ).
fof(f1824,plain,
( e3 = op(e5,e1)
| ~ spl42_314 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f1823,plain,
( spl42_314
<=> e3 = op(e5,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_314])]) ).
fof(f4657,plain,
( op(e4,e4) != op(e5,e1)
| spl42_304
| ~ spl42_366
| ~ spl42_519 ),
inference(forward_demodulation,[],[f4656,f2097]) ).
fof(f2097,plain,
( e4 = op(e5,e3)
| ~ spl42_366 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2096,plain,
( spl42_366
<=> e4 = op(e5,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_366])]) ).
fof(f4656,plain,
( op(e5,e1) != op(op(e5,e3),e4)
| spl42_304
| ~ spl42_519 ),
inference(forward_demodulation,[],[f1778,f2883]) ).
fof(f2883,plain,
( e1 = op(e3,e4)
| ~ spl42_519 ),
inference(avatar_component_clause,[],[f2882]) ).
fof(f2882,plain,
( spl42_519
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_519])]) ).
fof(f1778,plain,
( op(op(e5,e3),e4) != op(e5,op(e3,e4))
| spl42_304 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1776,plain,
( spl42_304
<=> op(op(e5,e3),e4) = op(e5,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_304])]) ).
fof(f4652,plain,
( ~ spl42_14
| spl42_303
| ~ spl42_353
| ~ spl42_464
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4651]) ).
fof(f4651,plain,
( $false
| ~ spl42_14
| spl42_303
| ~ spl42_353
| ~ spl42_464
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4650,f613]) ).
fof(f613,plain,
( e3 = op(e1,e5)
| ~ spl42_14 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f612,plain,
( spl42_14
<=> e3 = op(e1,e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_14])]) ).
fof(f4650,plain,
( e3 != op(e1,e5)
| spl42_303
| ~ spl42_353
| ~ spl42_464
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4649,f2936]) ).
fof(f4649,plain,
( op(e1,e5) != op(e4,e4)
| spl42_303
| ~ spl42_353
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4648,f2029]) ).
fof(f2029,plain,
( e4 = op(e1,e2)
| ~ spl42_353 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2028,plain,
( spl42_353
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_353])]) ).
fof(f4648,plain,
( op(e1,e5) != op(op(e1,e2),e4)
| spl42_303
| ~ spl42_464 ),
inference(forward_demodulation,[],[f1774,f2600]) ).
fof(f1774,plain,
( op(op(e1,e2),e4) != op(e1,op(e2,e4))
| spl42_303 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1772,plain,
( spl42_303
<=> op(op(e1,e2),e4) = op(e1,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_303])]) ).
fof(f4644,plain,
( spl42_302
| ~ spl42_373
| ~ spl42_422
| ~ spl42_478
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4643]) ).
fof(f4643,plain,
( $false
| spl42_302
| ~ spl42_373
| ~ spl42_422
| ~ spl42_478
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4642,f2385]) ).
fof(f2385,plain,
( e3 = op(e2,e2)
| ~ spl42_422 ),
inference(avatar_component_clause,[],[f2384]) ).
fof(f2384,plain,
( spl42_422
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_422])]) ).
fof(f4642,plain,
( e3 != op(e2,e2)
| spl42_302
| ~ spl42_373
| ~ spl42_478
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4641,f2936]) ).
fof(f4641,plain,
( op(e2,e2) != op(e4,e4)
| spl42_302
| ~ spl42_373
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4640,f2133]) ).
fof(f2133,plain,
( e4 = op(e2,e1)
| ~ spl42_373 ),
inference(avatar_component_clause,[],[f2132]) ).
fof(f2132,plain,
( spl42_373
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_373])]) ).
fof(f4640,plain,
( op(e2,e2) != op(op(e2,e1),e4)
| spl42_302
| ~ spl42_478 ),
inference(forward_demodulation,[],[f1770,f2673]) ).
fof(f1770,plain,
( op(op(e2,e1),e4) != op(e2,op(e1,e4))
| spl42_302 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f1768,plain,
( spl42_302
<=> op(op(e2,e1),e4) = op(e2,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_302])]) ).
fof(f4634,plain,
( ~ spl42_16
| ~ spl42_111
| spl42_300
| ~ spl42_312
| ~ spl42_362 ),
inference(avatar_contradiction_clause,[],[f4633]) ).
fof(f4633,plain,
( $false
| ~ spl42_16
| ~ spl42_111
| spl42_300
| ~ spl42_312
| ~ spl42_362 ),
inference(subsumption_resolution,[],[f4632,f1814]) ).
fof(f1814,plain,
( e1 = op(e5,e2)
| ~ spl42_312 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f1813,plain,
( spl42_312
<=> e1 = op(e5,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_312])]) ).
fof(f4632,plain,
( e1 != op(e5,e2)
| ~ spl42_16
| ~ spl42_111
| spl42_300
| ~ spl42_362 ),
inference(forward_demodulation,[],[f4631,f2077]) ).
fof(f4631,plain,
( e1 != op(op(e1,e3),e2)
| ~ spl42_16
| ~ spl42_111
| spl42_300 ),
inference(forward_demodulation,[],[f4630,f1005]) ).
fof(f1005,plain,
( e1 = op(e1,unit)
| ~ spl42_111 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1004,plain,
( spl42_111
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_111])]) ).
fof(f4630,plain,
( op(op(e1,e3),e2) != op(e1,unit)
| ~ spl42_16
| spl42_300 ),
inference(forward_demodulation,[],[f1762,f622]) ).
fof(f622,plain,
( op(e3,e2) = unit
| ~ spl42_16 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl42_16
<=> op(e3,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f1762,plain,
( op(op(e1,e3),e2) != op(e1,op(e3,e2))
| spl42_300 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f1760,plain,
( spl42_300
<=> op(op(e1,e3),e2) = op(e1,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_300])]) ).
fof(f4629,plain,
( ~ spl42_111
| spl42_299
| ~ spl42_305
| ~ spl42_433 ),
inference(avatar_contradiction_clause,[],[f4628]) ).
fof(f4628,plain,
( $false
| ~ spl42_111
| spl42_299
| ~ spl42_305
| ~ spl42_433 ),
inference(subsumption_resolution,[],[f4627,f1781]) ).
fof(f4627,plain,
( e5 != op(e5,unit)
| ~ spl42_111
| spl42_299
| ~ spl42_433 ),
inference(forward_demodulation,[],[f4626,f2441]) ).
fof(f2441,plain,
( e5 = op(e3,e1)
| ~ spl42_433 ),
inference(avatar_component_clause,[],[f2440]) ).
fof(f2440,plain,
( spl42_433
<=> e5 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_433])]) ).
fof(f4626,plain,
( op(e3,e1) != op(op(e3,e1),unit)
| ~ spl42_111
| spl42_299 ),
inference(forward_demodulation,[],[f1758,f1005]) ).
fof(f1758,plain,
( op(op(e3,e1),unit) != op(e3,op(e1,unit))
| spl42_299 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1756,plain,
( spl42_299
<=> op(op(e3,e1),unit) = op(e3,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_299])]) ).
fof(f4624,plain,
( ~ spl42_62
| ~ spl42_258
| spl42_298 ),
inference(avatar_contradiction_clause,[],[f4623]) ).
fof(f4623,plain,
( $false
| ~ spl42_62
| ~ spl42_258
| spl42_298 ),
inference(trivial_inequality_removal,[],[f4622]) ).
fof(f4622,plain,
( op(e3,e2) != op(e3,e2)
| ~ spl42_62
| ~ spl42_258
| spl42_298 ),
inference(forward_demodulation,[],[f4621,f1593]) ).
fof(f1593,plain,
( e3 = op(e3,unit)
| ~ spl42_258 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1592,plain,
( spl42_258
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_258])]) ).
fof(f4621,plain,
( op(e3,e2) != op(op(e3,unit),e2)
| ~ spl42_62
| spl42_298 ),
inference(forward_demodulation,[],[f1754,f809]) ).
fof(f809,plain,
( e2 = op(unit,e2)
| ~ spl42_62 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f808,plain,
( spl42_62
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_62])]) ).
fof(f1754,plain,
( op(op(e3,unit),e2) != op(e3,op(unit,e2))
| spl42_298 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1752,plain,
( spl42_298
<=> op(op(e3,unit),e2) = op(e3,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_298])]) ).
fof(f4617,plain,
( spl42_296
| ~ spl42_353
| ~ spl42_373
| ~ spl42_477
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f4616]) ).
fof(f4616,plain,
( $false
| spl42_296
| ~ spl42_353
| ~ spl42_373
| ~ spl42_477
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f4615,f2673]) ).
fof(f4615,plain,
( e2 != op(e1,e4)
| spl42_296
| ~ spl42_353
| ~ spl42_373
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4614,f2668]) ).
fof(f2668,plain,
( e2 = op(e4,e1)
| ~ spl42_477 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f2667,plain,
( spl42_477
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_477])]) ).
fof(f4614,plain,
( op(e1,e4) != op(e4,e1)
| spl42_296
| ~ spl42_353
| ~ spl42_373 ),
inference(forward_demodulation,[],[f4613,f2029]) ).
fof(f4613,plain,
( op(e1,e4) != op(op(e1,e2),e1)
| spl42_296
| ~ spl42_373 ),
inference(forward_demodulation,[],[f1746,f2133]) ).
fof(f1746,plain,
( op(op(e1,e2),e1) != op(e1,op(e2,e1))
| spl42_296 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1744,plain,
( spl42_296
<=> op(op(e1,e2),e1) = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_296])]) ).
fof(f4607,plain,
( ~ spl42_70
| ~ spl42_198
| spl42_295
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f4606]) ).
fof(f4606,plain,
( $false
| ~ spl42_70
| ~ spl42_198
| spl42_295
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f4605,f1353]) ).
fof(f1353,plain,
( unit = op(unit,unit)
| ~ spl42_198 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1352,plain,
( spl42_198
<=> unit = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_198])]) ).
fof(f4605,plain,
( unit != op(unit,unit)
| ~ spl42_70
| spl42_295
| ~ spl42_434 ),
inference(forward_demodulation,[],[f4604,f2446]) ).
fof(f2446,plain,
( op(e4,e5) = unit
| ~ spl42_434 ),
inference(avatar_component_clause,[],[f2445]) ).
fof(f2445,plain,
( spl42_434
<=> op(e4,e5) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl42_434])]) ).
fof(f4604,plain,
( op(e4,e5) != op(unit,op(e4,e5))
| ~ spl42_70
| spl42_295 ),
inference(forward_demodulation,[],[f1742,f841]) ).
fof(f841,plain,
( e4 = op(unit,e4)
| ~ spl42_70 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f840,plain,
( spl42_70
<=> e4 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_70])]) ).
fof(f1742,plain,
( op(unit,op(e4,e5)) != op(op(unit,e4),e5)
| spl42_295 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1740,plain,
( spl42_295
<=> op(unit,op(e4,e5)) = op(op(unit,e4),e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_295])]) ).
fof(f4600,plain,
( ~ spl42_172
| ~ spl42_258
| spl42_294
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f4599]) ).
fof(f4599,plain,
( $false
| ~ spl42_172
| ~ spl42_258
| spl42_294
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f4598,f2888]) ).
fof(f2888,plain,
( e2 = op(e3,e3)
| ~ spl42_520 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f2887,plain,
( spl42_520
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_520])]) ).
fof(f4598,plain,
( e2 != op(e3,e3)
| ~ spl42_172
| ~ spl42_258
| spl42_294
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4597,f1249]) ).
fof(f1249,plain,
( e2 = op(e2,unit)
| ~ spl42_172 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1248,plain,
( spl42_172
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).
fof(f4597,plain,
( op(e3,e3) != op(e2,unit)
| ~ spl42_258
| spl42_294
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4596,f1593]) ).
fof(f4596,plain,
( op(e2,unit) != op(e3,op(e3,unit))
| spl42_294
| ~ spl42_520 ),
inference(forward_demodulation,[],[f1738,f2888]) ).
fof(f1738,plain,
( op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| spl42_294 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1736,plain,
( spl42_294
<=> op(e3,op(e3,unit)) = op(op(e3,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_294])]) ).
fof(f4594,plain,
( spl42_293
| ~ spl42_378
| ~ spl42_477
| ~ spl42_520
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4593]) ).
fof(f4593,plain,
( $false
| spl42_293
| ~ spl42_378
| ~ spl42_477
| ~ spl42_520
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4592,f2888]) ).
fof(f4592,plain,
( e2 != op(e3,e3)
| spl42_293
| ~ spl42_378
| ~ spl42_477
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4591,f2668]) ).
fof(f4591,plain,
( op(e3,e3) != op(e4,e1)
| spl42_293
| ~ spl42_378
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4590,f2936]) ).
fof(f4590,plain,
( op(e4,e1) != op(op(e4,e4),e3)
| spl42_293
| ~ spl42_378 ),
inference(forward_demodulation,[],[f1734,f2158]) ).
fof(f2158,plain,
( e1 = op(e4,e3)
| ~ spl42_378 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f2157,plain,
( spl42_378
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_378])]) ).
fof(f1734,plain,
( op(op(e4,e4),e3) != op(e4,op(e4,e3))
| spl42_293 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f1732,plain,
( spl42_293
<=> op(op(e4,e4),e3) = op(e4,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_293])]) ).
fof(f4589,plain,
( ~ spl42_183
| ~ spl42_198
| spl42_292 ),
inference(avatar_contradiction_clause,[],[f4588]) ).
fof(f4588,plain,
( $false
| ~ spl42_183
| ~ spl42_198
| spl42_292 ),
inference(trivial_inequality_removal,[],[f4587]) ).
fof(f4587,plain,
( op(unit,e1) != op(unit,e1)
| ~ spl42_183
| ~ spl42_198
| spl42_292 ),
inference(forward_demodulation,[],[f4586,f1353]) ).
fof(f4586,plain,
( op(unit,e1) != op(op(unit,unit),e1)
| ~ spl42_183
| spl42_292 ),
inference(forward_demodulation,[],[f1730,f1293]) ).
fof(f1293,plain,
( e1 = op(unit,e1)
| ~ spl42_183 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl42_183
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).
fof(f1730,plain,
( op(op(unit,unit),e1) != op(unit,op(unit,e1))
| spl42_292 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1728,plain,
( spl42_292
<=> op(op(unit,unit),e1) = op(unit,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_292])]) ).
fof(f4579,plain,
( spl42_290
| ~ spl42_362
| ~ spl42_366
| ~ spl42_464
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f4578]) ).
fof(f4578,plain,
( $false
| spl42_290
| ~ spl42_362
| ~ spl42_366
| ~ spl42_464
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f4577,f2077]) ).
fof(f4577,plain,
( e5 != op(e1,e3)
| spl42_290
| ~ spl42_366
| ~ spl42_464
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4576,f2600]) ).
fof(f4576,plain,
( op(e1,e3) != op(e2,e4)
| spl42_290
| ~ spl42_366
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4575,f2899]) ).
fof(f2899,plain,
( e1 = op(e2,e5)
| ~ spl42_522 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f2898,plain,
( spl42_522
<=> e1 = op(e2,e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_522])]) ).
fof(f4575,plain,
( op(e2,e4) != op(op(e2,e5),e3)
| spl42_290
| ~ spl42_366 ),
inference(forward_demodulation,[],[f1722,f2097]) ).
fof(f1722,plain,
( op(op(e2,e5),e3) != op(e2,op(e5,e3))
| spl42_290 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1720,plain,
( spl42_290
<=> op(op(e2,e5),e3) = op(e2,op(e5,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_290])]) ).
fof(f4574,plain,
( ~ spl42_183
| ~ spl42_259
| spl42_289
| ~ spl42_312 ),
inference(avatar_contradiction_clause,[],[f4573]) ).
fof(f4573,plain,
( $false
| ~ spl42_183
| ~ spl42_259
| spl42_289
| ~ spl42_312 ),
inference(subsumption_resolution,[],[f4572,f1814]) ).
fof(f4572,plain,
( e1 != op(e5,e2)
| ~ spl42_183
| ~ spl42_259
| spl42_289
| ~ spl42_312 ),
inference(forward_demodulation,[],[f4571,f1293]) ).
fof(f4571,plain,
( op(e5,e2) != op(unit,e1)
| ~ spl42_259
| spl42_289
| ~ spl42_312 ),
inference(forward_demodulation,[],[f4570,f1597]) ).
fof(f1597,plain,
( e5 = op(unit,e5)
| ~ spl42_259 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1596,plain,
( spl42_259
<=> e5 = op(unit,e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).
fof(f4570,plain,
( op(unit,e1) != op(op(unit,e5),e2)
| spl42_289
| ~ spl42_312 ),
inference(forward_demodulation,[],[f1718,f1814]) ).
fof(f1718,plain,
( op(op(unit,e5),e2) != op(unit,op(e5,e2))
| spl42_289 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f1716,plain,
( spl42_289
<=> op(op(unit,e5),e2) = op(unit,op(e5,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_289])]) ).
fof(f4563,plain,
( ~ spl42_6
| ~ spl42_111
| spl42_288
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f4562]) ).
fof(f4562,plain,
( $false
| ~ spl42_6
| ~ spl42_111
| spl42_288
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f4561,f2883]) ).
fof(f4561,plain,
( e1 != op(e3,e4)
| ~ spl42_6
| ~ spl42_111
| spl42_288
| ~ spl42_519 ),
inference(forward_demodulation,[],[f4560,f1005]) ).
fof(f4560,plain,
( op(e3,e4) != op(e1,unit)
| ~ spl42_6
| spl42_288
| ~ spl42_519 ),
inference(forward_demodulation,[],[f4559,f576]) ).
fof(f4559,plain,
( op(e1,unit) != op(e3,op(e4,unit))
| spl42_288
| ~ spl42_519 ),
inference(forward_demodulation,[],[f1714,f2883]) ).
fof(f1714,plain,
( op(e3,op(e4,unit)) != op(op(e3,e4),unit)
| spl42_288 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f1712,plain,
( spl42_288
<=> op(e3,op(e4,unit)) = op(op(e3,e4),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_288])]) ).
fof(f4558,plain,
( spl42_287
| ~ spl42_312
| ~ spl42_433
| ~ spl42_459
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4557]) ).
fof(f4557,plain,
( $false
| spl42_287
| ~ spl42_312
| ~ spl42_433
| ~ spl42_459
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4556,f2441]) ).
fof(f4556,plain,
( e5 != op(e3,e1)
| spl42_287
| ~ spl42_312
| ~ spl42_459
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4555,f2574]) ).
fof(f2574,plain,
( e5 = op(e4,e2)
| ~ spl42_459 ),
inference(avatar_component_clause,[],[f2573]) ).
fof(f2573,plain,
( spl42_459
<=> e5 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_459])]) ).
fof(f4555,plain,
( op(e3,e1) != op(e4,e2)
| spl42_287
| ~ spl42_312
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4554,f2987]) ).
fof(f2987,plain,
( e4 = op(e3,e5)
| ~ spl42_539 ),
inference(avatar_component_clause,[],[f2986]) ).
fof(f2986,plain,
( spl42_539
<=> e4 = op(e3,e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_539])]) ).
fof(f4554,plain,
( op(e3,e1) != op(op(e3,e5),e2)
| spl42_287
| ~ spl42_312 ),
inference(forward_demodulation,[],[f1710,f1814]) ).
fof(f1710,plain,
( op(op(e3,e5),e2) != op(e3,op(e5,e2))
| spl42_287 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f1708,plain,
( spl42_287
<=> op(op(e3,e5),e2) = op(e3,op(e5,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_287])]) ).
fof(f4552,plain,
( ~ spl42_70
| spl42_286
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f4551]) ).
fof(f4551,plain,
( $false
| ~ spl42_70
| spl42_286
| ~ spl42_305 ),
inference(trivial_inequality_removal,[],[f4550]) ).
fof(f4550,plain,
( op(e5,e4) != op(e5,e4)
| ~ spl42_70
| spl42_286
| ~ spl42_305 ),
inference(forward_demodulation,[],[f4549,f1781]) ).
fof(f4549,plain,
( op(e5,e4) != op(op(e5,unit),e4)
| ~ spl42_70
| spl42_286 ),
inference(forward_demodulation,[],[f1706,f841]) ).
fof(f1706,plain,
( op(op(e5,unit),e4) != op(e5,op(unit,e4))
| spl42_286 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f1704,plain,
( spl42_286
<=> op(op(e5,unit),e4) = op(e5,op(unit,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_286])]) ).
fof(f4542,plain,
( spl42_285
| ~ spl42_312
| ~ spl42_459
| ~ spl42_464
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f4541]) ).
fof(f4541,plain,
( $false
| spl42_285
| ~ spl42_312
| ~ spl42_459
| ~ spl42_464
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f4540,f2899]) ).
fof(f4540,plain,
( e1 != op(e2,e5)
| spl42_285
| ~ spl42_312
| ~ spl42_459
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4539,f1814]) ).
fof(f4539,plain,
( op(e2,e5) != op(e5,e2)
| spl42_285
| ~ spl42_459
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4538,f2600]) ).
fof(f4538,plain,
( op(e2,e5) != op(op(e2,e4),e2)
| spl42_285
| ~ spl42_459 ),
inference(forward_demodulation,[],[f1702,f2574]) ).
fof(f1702,plain,
( op(op(e2,e4),e2) != op(e2,op(e4,e2))
| spl42_285 ),
inference(avatar_component_clause,[],[f1700]) ).
fof(f1700,plain,
( spl42_285
<=> op(op(e2,e4),e2) = op(e2,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_285])]) ).
fof(f4534,plain,
( ~ spl42_14
| spl42_284
| ~ spl42_353
| ~ spl42_355
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4533]) ).
fof(f4533,plain,
( $false
| ~ spl42_14
| spl42_284
| ~ spl42_353
| ~ spl42_355
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4532,f2029]) ).
fof(f4532,plain,
( e4 != op(e1,e2)
| ~ spl42_14
| spl42_284
| ~ spl42_355
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4531,f2987]) ).
fof(f4531,plain,
( op(e1,e2) != op(e3,e5)
| ~ spl42_14
| spl42_284
| ~ spl42_355 ),
inference(forward_demodulation,[],[f4530,f613]) ).
fof(f4530,plain,
( op(e1,e2) != op(op(e1,e5),e5)
| spl42_284
| ~ spl42_355 ),
inference(forward_demodulation,[],[f1698,f2040]) ).
fof(f2040,plain,
( e2 = op(e5,e5)
| ~ spl42_355 ),
inference(avatar_component_clause,[],[f2039]) ).
fof(f2039,plain,
( spl42_355
<=> e2 = op(e5,e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_355])]) ).
fof(f1698,plain,
( op(op(e1,e5),e5) != op(e1,op(e5,e5))
| spl42_284 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f1696,plain,
( spl42_284
<=> op(op(e1,e5),e5) = op(e1,op(e5,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_284])]) ).
fof(f4529,plain,
( ~ spl42_14
| spl42_283
| ~ spl42_366
| ~ spl42_478
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f4528]) ).
fof(f4528,plain,
( $false
| ~ spl42_14
| spl42_283
| ~ spl42_366
| ~ spl42_478
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f4527,f2673]) ).
fof(f4527,plain,
( e2 != op(e1,e4)
| ~ spl42_14
| spl42_283
| ~ spl42_366
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4526,f2888]) ).
fof(f4526,plain,
( op(e1,e4) != op(e3,e3)
| ~ spl42_14
| spl42_283
| ~ spl42_366 ),
inference(forward_demodulation,[],[f4525,f613]) ).
fof(f4525,plain,
( op(e1,e4) != op(op(e1,e5),e3)
| spl42_283
| ~ spl42_366 ),
inference(forward_demodulation,[],[f1694,f2097]) ).
fof(f1694,plain,
( op(op(e1,e5),e3) != op(e1,op(e5,e3))
| spl42_283 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1692,plain,
( spl42_283
<=> op(op(e1,e5),e3) = op(e1,op(e5,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_283])]) ).
fof(f4521,plain,
( ~ spl42_183
| spl42_281
| ~ spl42_312
| ~ spl42_409
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f4520]) ).
fof(f4520,plain,
( $false
| ~ spl42_183
| spl42_281
| ~ spl42_312
| ~ spl42_409
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f4519,f1814]) ).
fof(f4519,plain,
( e1 != op(e5,e2)
| ~ spl42_183
| spl42_281
| ~ spl42_409
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4518,f1293]) ).
fof(f4518,plain,
( op(e5,e2) != op(unit,e1)
| spl42_281
| ~ spl42_409
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4517,f2319]) ).
fof(f2319,plain,
( op(e5,e4) = unit
| ~ spl42_409 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f2318,plain,
( spl42_409
<=> op(e5,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl42_409])]) ).
fof(f4517,plain,
( op(e5,e2) != op(op(e5,e4),e1)
| spl42_281
| ~ spl42_477 ),
inference(forward_demodulation,[],[f1686,f2668]) ).
fof(f1686,plain,
( op(op(e5,e4),e1) != op(e5,op(e4,e1))
| spl42_281 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1684,plain,
( spl42_281
<=> op(op(e5,e4),e1) = op(e5,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).
fof(f4513,plain,
( ~ spl42_259
| spl42_280
| ~ spl42_355
| ~ spl42_434
| ~ spl42_459 ),
inference(avatar_contradiction_clause,[],[f4512]) ).
fof(f4512,plain,
( $false
| ~ spl42_259
| spl42_280
| ~ spl42_355
| ~ spl42_434
| ~ spl42_459 ),
inference(subsumption_resolution,[],[f4511,f2574]) ).
fof(f4511,plain,
( e5 != op(e4,e2)
| ~ spl42_259
| spl42_280
| ~ spl42_355
| ~ spl42_434 ),
inference(forward_demodulation,[],[f4510,f1597]) ).
fof(f4510,plain,
( op(e4,e2) != op(unit,e5)
| spl42_280
| ~ spl42_355
| ~ spl42_434 ),
inference(forward_demodulation,[],[f4509,f2446]) ).
fof(f4509,plain,
( op(e4,e2) != op(op(e4,e5),e5)
| spl42_280
| ~ spl42_355 ),
inference(forward_demodulation,[],[f1682,f2040]) ).
fof(f1682,plain,
( op(op(e4,e5),e5) != op(e4,op(e5,e5))
| spl42_280 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1680,plain,
( spl42_280
<=> op(op(e4,e5),e5) = op(e4,op(e5,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).
fof(f4506,plain,
( ~ spl42_115
| ~ spl42_259
| spl42_279
| ~ spl42_314 ),
inference(avatar_contradiction_clause,[],[f4505]) ).
fof(f4505,plain,
( $false
| ~ spl42_115
| ~ spl42_259
| spl42_279
| ~ spl42_314 ),
inference(subsumption_resolution,[],[f4504,f1021]) ).
fof(f1021,plain,
( e3 = op(unit,e3)
| ~ spl42_115 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1020,plain,
( spl42_115
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_115])]) ).
fof(f4504,plain,
( e3 != op(unit,e3)
| ~ spl42_259
| spl42_279
| ~ spl42_314 ),
inference(forward_demodulation,[],[f4503,f1824]) ).
fof(f4503,plain,
( op(e5,e1) != op(unit,op(e5,e1))
| ~ spl42_259
| spl42_279 ),
inference(forward_demodulation,[],[f1678,f1597]) ).
fof(f1678,plain,
( op(unit,op(e5,e1)) != op(op(unit,e5),e1)
| spl42_279 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f1676,plain,
( spl42_279
<=> op(unit,op(e5,e1)) = op(op(unit,e5),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_279])]) ).
fof(f4499,plain,
( spl42_278
| ~ spl42_353
| ~ spl42_373 ),
inference(avatar_contradiction_clause,[],[f4498]) ).
fof(f4498,plain,
( $false
| spl42_278
| ~ spl42_353
| ~ spl42_373 ),
inference(subsumption_resolution,[],[f4497,f2029]) ).
fof(f4497,plain,
( e4 != op(e1,e2)
| spl42_278
| ~ spl42_373 ),
inference(forward_demodulation,[],[f1674,f2133]) ).
fof(f1674,plain,
( op(e1,e2) != op(e2,e1)
| spl42_278 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f1672,plain,
( spl42_278
<=> op(e1,e2) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_278])]) ).
fof(f4493,plain,
( ~ spl42_259
| spl42_277
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f4492]) ).
fof(f4492,plain,
( $false
| ~ spl42_259
| spl42_277
| ~ spl42_305 ),
inference(subsumption_resolution,[],[f4491,f1597]) ).
fof(f4491,plain,
( e5 != op(unit,e5)
| ~ spl42_259
| spl42_277
| ~ spl42_305 ),
inference(forward_demodulation,[],[f4490,f1781]) ).
fof(f4490,plain,
( op(e5,unit) != op(unit,op(e5,unit))
| ~ spl42_259
| spl42_277 ),
inference(forward_demodulation,[],[f1670,f1597]) ).
fof(f1670,plain,
( op(unit,op(e5,unit)) != op(op(unit,e5),unit)
| spl42_277 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1668,plain,
( spl42_277
<=> op(unit,op(e5,unit)) = op(op(unit,e5),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_277])]) ).
fof(f4489,plain,
( spl42_276
| ~ spl42_305
| ~ spl42_312
| ~ spl42_362
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f4488]) ).
fof(f4488,plain,
( $false
| spl42_276
| ~ spl42_305
| ~ spl42_312
| ~ spl42_362
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f4487,f2077]) ).
fof(f4487,plain,
( e5 != op(e1,e3)
| spl42_276
| ~ spl42_305
| ~ spl42_312
| ~ spl42_516 ),
inference(forward_demodulation,[],[f4486,f1814]) ).
fof(f4486,plain,
( e5 != op(op(e5,e2),e3)
| spl42_276
| ~ spl42_305
| ~ spl42_516 ),
inference(forward_demodulation,[],[f4485,f1781]) ).
fof(f4485,plain,
( op(op(e5,e2),e3) != op(e5,unit)
| spl42_276
| ~ spl42_516 ),
inference(forward_demodulation,[],[f1666,f2868]) ).
fof(f2868,plain,
( op(e2,e3) = unit
| ~ spl42_516 ),
inference(avatar_component_clause,[],[f2867]) ).
fof(f2867,plain,
( spl42_516
<=> op(e2,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl42_516])]) ).
fof(f1666,plain,
( op(op(e5,e2),e3) != op(e5,op(e2,e3))
| spl42_276 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1664,plain,
( spl42_276
<=> op(op(e5,e2),e3) = op(e5,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_276])]) ).
fof(f4481,plain,
( spl42_275
| ~ spl42_312
| ~ spl42_373
| ~ spl42_409
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f4480]) ).
fof(f4480,plain,
( $false
| spl42_275
| ~ spl42_312
| ~ spl42_373
| ~ spl42_409
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f4479,f2620]) ).
fof(f2620,plain,
( op(e1,e1) = unit
| ~ spl42_468 ),
inference(avatar_component_clause,[],[f2619]) ).
fof(f2619,plain,
( spl42_468
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl42_468])]) ).
fof(f4479,plain,
( op(e1,e1) != unit
| spl42_275
| ~ spl42_312
| ~ spl42_373
| ~ spl42_409 ),
inference(forward_demodulation,[],[f4478,f2319]) ).
fof(f4478,plain,
( op(e1,e1) != op(e5,e4)
| spl42_275
| ~ spl42_312
| ~ spl42_373 ),
inference(forward_demodulation,[],[f4477,f1814]) ).
fof(f4477,plain,
( op(e5,e4) != op(op(e5,e2),e1)
| spl42_275
| ~ spl42_373 ),
inference(forward_demodulation,[],[f1662,f2133]) ).
fof(f1662,plain,
( op(op(e5,e2),e1) != op(e5,op(e2,e1))
| spl42_275 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f1660,plain,
( spl42_275
<=> op(op(e5,e2),e1) = op(e5,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_275])]) ).
fof(f4474,plain,
( ~ spl42_16
| spl42_274
| ~ spl42_413 ),
inference(avatar_contradiction_clause,[],[f4473]) ).
fof(f4473,plain,
( $false
| ~ spl42_16
| spl42_274
| ~ spl42_413 ),
inference(subsumption_resolution,[],[f4472,f622]) ).
fof(f4472,plain,
( op(e3,e2) != unit
| spl42_274
| ~ spl42_413 ),
inference(forward_demodulation,[],[f1658,f2339]) ).
fof(f2339,plain,
( e2 = inv(e3)
| ~ spl42_413 ),
inference(avatar_component_clause,[],[f2338]) ).
fof(f2338,plain,
( spl42_413
<=> e2 = inv(e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_413])]) ).
fof(f1658,plain,
( unit != op(e3,inv(e3))
| spl42_274 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f1656,plain,
( spl42_274
<=> unit = op(e3,inv(e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_274])]) ).
fof(f4471,plain,
( ~ spl42_6
| ~ spl42_70
| spl42_273 ),
inference(avatar_contradiction_clause,[],[f4470]) ).
fof(f4470,plain,
( $false
| ~ spl42_6
| ~ spl42_70
| spl42_273 ),
inference(subsumption_resolution,[],[f4469,f841]) ).
fof(f4469,plain,
( e4 != op(unit,e4)
| ~ spl42_6
| spl42_273 ),
inference(forward_demodulation,[],[f1654,f576]) ).
fof(f1654,plain,
( op(unit,e4) != op(e4,unit)
| spl42_273 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1652,plain,
( spl42_273
<=> op(unit,e4) = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_273])]) ).
fof(f4466,plain,
( ~ spl42_62
| ~ spl42_70
| spl42_272
| ~ spl42_373 ),
inference(avatar_contradiction_clause,[],[f4465]) ).
fof(f4465,plain,
( $false
| ~ spl42_62
| ~ spl42_70
| spl42_272
| ~ spl42_373 ),
inference(subsumption_resolution,[],[f4464,f841]) ).
fof(f4464,plain,
( e4 != op(unit,e4)
| ~ spl42_62
| spl42_272
| ~ spl42_373 ),
inference(forward_demodulation,[],[f4463,f2133]) ).
fof(f4463,plain,
( op(e2,e1) != op(unit,op(e2,e1))
| ~ spl42_62
| spl42_272 ),
inference(forward_demodulation,[],[f1650,f809]) ).
fof(f1650,plain,
( op(unit,op(e2,e1)) != op(op(unit,e2),e1)
| spl42_272 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1648,plain,
( spl42_272
<=> op(unit,op(e2,e1)) = op(op(unit,e2),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_272])]) ).
fof(f4461,plain,
( ~ spl42_62
| ~ spl42_172
| spl42_271 ),
inference(avatar_contradiction_clause,[],[f4460]) ).
fof(f4460,plain,
( $false
| ~ spl42_62
| ~ spl42_172
| spl42_271 ),
inference(subsumption_resolution,[],[f4459,f809]) ).
fof(f4459,plain,
( e2 != op(unit,e2)
| ~ spl42_172
| spl42_271 ),
inference(forward_demodulation,[],[f1646,f1249]) ).
fof(f1646,plain,
( op(unit,e2) != op(e2,unit)
| spl42_271 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1644,plain,
( spl42_271
<=> op(unit,e2) = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_271])]) ).
fof(f4455,plain,
( ~ spl42_6
| ~ spl42_172
| spl42_270
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f4454]) ).
fof(f4454,plain,
( $false
| ~ spl42_6
| ~ spl42_172
| spl42_270
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f4453,f2673]) ).
fof(f4453,plain,
( e2 != op(e1,e4)
| ~ spl42_6
| ~ spl42_172
| spl42_270
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4452,f1249]) ).
fof(f4452,plain,
( op(e1,e4) != op(e2,unit)
| ~ spl42_6
| spl42_270
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4451,f576]) ).
fof(f4451,plain,
( op(e2,unit) != op(e1,op(e4,unit))
| spl42_270
| ~ spl42_478 ),
inference(forward_demodulation,[],[f1642,f2673]) ).
fof(f1642,plain,
( op(e1,op(e4,unit)) != op(op(e1,e4),unit)
| spl42_270 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1640,plain,
( spl42_270
<=> op(e1,op(e4,unit)) = op(op(e1,e4),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_270])]) ).
fof(f4448,plain,
( ~ spl42_70
| ~ spl42_259
| spl42_269
| ~ spl42_459 ),
inference(avatar_contradiction_clause,[],[f4447]) ).
fof(f4447,plain,
( $false
| ~ spl42_70
| ~ spl42_259
| spl42_269
| ~ spl42_459 ),
inference(subsumption_resolution,[],[f4446,f1597]) ).
fof(f4446,plain,
( e5 != op(unit,e5)
| ~ spl42_70
| spl42_269
| ~ spl42_459 ),
inference(forward_demodulation,[],[f4445,f2574]) ).
fof(f4445,plain,
( op(e4,e2) != op(unit,op(e4,e2))
| ~ spl42_70
| spl42_269 ),
inference(forward_demodulation,[],[f1638,f841]) ).
fof(f1638,plain,
( op(unit,op(e4,e2)) != op(op(unit,e4),e2)
| spl42_269 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1636,plain,
( spl42_269
<=> op(unit,op(e4,e2)) = op(op(unit,e4),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_269])]) ).
fof(f4440,plain,
( ~ spl42_183
| ~ spl42_198
| spl42_268
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f4439]) ).
fof(f4439,plain,
( $false
| ~ spl42_183
| ~ spl42_198
| spl42_268
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f4438,f1353]) ).
fof(f4438,plain,
( unit != op(unit,unit)
| ~ spl42_183
| spl42_268
| ~ spl42_468 ),
inference(forward_demodulation,[],[f4437,f2620]) ).
fof(f4437,plain,
( op(e1,e1) != op(unit,op(e1,e1))
| ~ spl42_183
| spl42_268 ),
inference(forward_demodulation,[],[f1634,f1293]) ).
fof(f1634,plain,
( op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| spl42_268 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1632,plain,
( spl42_268
<=> op(unit,op(e1,e1)) = op(op(unit,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_268])]) ).
fof(f4436,plain,
( ~ spl42_111
| ~ spl42_258
| spl42_267
| ~ spl42_314 ),
inference(avatar_contradiction_clause,[],[f4435]) ).
fof(f4435,plain,
( $false
| ~ spl42_111
| ~ spl42_258
| spl42_267
| ~ spl42_314 ),
inference(subsumption_resolution,[],[f4434,f1593]) ).
fof(f4434,plain,
( e3 != op(e3,unit)
| ~ spl42_111
| spl42_267
| ~ spl42_314 ),
inference(forward_demodulation,[],[f4433,f1824]) ).
fof(f4433,plain,
( op(e5,e1) != op(op(e5,e1),unit)
| ~ spl42_111
| spl42_267 ),
inference(forward_demodulation,[],[f1630,f1005]) ).
fof(f1630,plain,
( op(op(e5,e1),unit) != op(e5,op(e1,unit))
| spl42_267 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1628,plain,
( spl42_267
<=> op(op(e5,e1),unit) = op(e5,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_267])]) ).
fof(f4427,plain,
( ~ spl42_183
| ~ spl42_259
| spl42_266
| ~ spl42_362 ),
inference(avatar_contradiction_clause,[],[f4426]) ).
fof(f4426,plain,
( $false
| ~ spl42_183
| ~ spl42_259
| spl42_266
| ~ spl42_362 ),
inference(subsumption_resolution,[],[f4425,f2077]) ).
fof(f4425,plain,
( e5 != op(e1,e3)
| ~ spl42_183
| ~ spl42_259
| spl42_266
| ~ spl42_362 ),
inference(forward_demodulation,[],[f4424,f1597]) ).
fof(f4424,plain,
( op(e1,e3) != op(unit,e5)
| ~ spl42_183
| spl42_266
| ~ spl42_362 ),
inference(forward_demodulation,[],[f4423,f1293]) ).
fof(f4423,plain,
( op(unit,e5) != op(op(unit,e1),e3)
| spl42_266
| ~ spl42_362 ),
inference(forward_demodulation,[],[f1626,f2077]) ).
fof(f1626,plain,
( op(op(unit,e1),e3) != op(unit,op(e1,e3))
| spl42_266 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1624,plain,
( spl42_266
<=> op(op(unit,e1),e3) = op(unit,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_266])]) ).
fof(f4422,plain,
( ~ spl42_62
| ~ spl42_183
| spl42_265
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f4421]) ).
fof(f4421,plain,
( $false
| ~ spl42_62
| ~ spl42_183
| spl42_265
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f4420,f1293]) ).
fof(f4420,plain,
( e1 != op(unit,e1)
| ~ spl42_62
| spl42_265
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4419,f2899]) ).
fof(f4419,plain,
( op(e2,e5) != op(unit,op(e2,e5))
| ~ spl42_62
| spl42_265 ),
inference(forward_demodulation,[],[f1622,f809]) ).
fof(f1622,plain,
( op(unit,op(e2,e5)) != op(op(unit,e2),e5)
| spl42_265 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1620,plain,
( spl42_265
<=> op(unit,op(e2,e5)) = op(op(unit,e2),e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).
fof(f4415,plain,
( spl42_264
| ~ spl42_373
| ~ spl42_422
| ~ spl42_522
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4414]) ).
fof(f4414,plain,
( $false
| spl42_264
| ~ spl42_373
| ~ spl42_422
| ~ spl42_522
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4413,f2133]) ).
fof(f4413,plain,
( e4 != op(e2,e1)
| spl42_264
| ~ spl42_422
| ~ spl42_522
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4412,f2987]) ).
fof(f4412,plain,
( op(e2,e1) != op(e3,e5)
| spl42_264
| ~ spl42_422
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4411,f2385]) ).
fof(f4411,plain,
( op(e2,e1) != op(op(e2,e2),e5)
| spl42_264
| ~ spl42_522 ),
inference(forward_demodulation,[],[f1618,f2899]) ).
fof(f1618,plain,
( op(op(e2,e2),e5) != op(e2,op(e2,e5))
| spl42_264 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1616,plain,
( spl42_264
<=> op(op(e2,e2),e5) = op(e2,op(e2,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_264])]) ).
fof(f4404,plain,
( ~ spl42_258
| spl42_263
| ~ spl42_409
| ~ spl42_529
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4403]) ).
fof(f4403,plain,
( $false
| ~ spl42_258
| spl42_263
| ~ spl42_409
| ~ spl42_529
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4402,f2936]) ).
fof(f4402,plain,
( e3 != op(e4,e4)
| ~ spl42_258
| spl42_263
| ~ spl42_409
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4401,f2987]) ).
fof(f4401,plain,
( e3 != op(op(e3,e5),e4)
| ~ spl42_258
| spl42_263
| ~ spl42_409 ),
inference(forward_demodulation,[],[f4400,f1593]) ).
fof(f4400,plain,
( op(op(e3,e5),e4) != op(e3,unit)
| spl42_263
| ~ spl42_409 ),
inference(forward_demodulation,[],[f1614,f2319]) ).
fof(f1614,plain,
( op(op(e3,e5),e4) != op(e3,op(e5,e4))
| spl42_263 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1612,plain,
( spl42_263
<=> op(op(e3,e5),e4) = op(e3,op(e5,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_263])]) ).
fof(f4396,plain,
( ~ spl42_6
| ~ spl42_16
| spl42_262
| ~ spl42_353
| ~ spl42_378 ),
inference(avatar_contradiction_clause,[],[f4395]) ).
fof(f4395,plain,
( $false
| ~ spl42_6
| ~ spl42_16
| spl42_262
| ~ spl42_353
| ~ spl42_378 ),
inference(subsumption_resolution,[],[f4394,f2029]) ).
fof(f4394,plain,
( e4 != op(e1,e2)
| ~ spl42_6
| ~ spl42_16
| spl42_262
| ~ spl42_378 ),
inference(forward_demodulation,[],[f4393,f2158]) ).
fof(f4393,plain,
( e4 != op(op(e4,e3),e2)
| ~ spl42_6
| ~ spl42_16
| spl42_262 ),
inference(forward_demodulation,[],[f4392,f576]) ).
fof(f4392,plain,
( op(op(e4,e3),e2) != op(e4,unit)
| ~ spl42_16
| spl42_262 ),
inference(forward_demodulation,[],[f1610,f622]) ).
fof(f1610,plain,
( op(op(e4,e3),e2) != op(e4,op(e3,e2))
| spl42_262 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1608,plain,
( spl42_262
<=> op(op(e4,e3),e2) = op(e4,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).
fof(f4391,plain,
( ~ spl42_14
| spl42_261
| ~ spl42_378
| ~ spl42_477
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f4390]) ).
fof(f4390,plain,
( $false
| ~ spl42_14
| spl42_261
| ~ spl42_378
| ~ spl42_477
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f4389,f2899]) ).
fof(f4389,plain,
( e1 != op(e2,e5)
| ~ spl42_14
| spl42_261
| ~ spl42_378
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4388,f2158]) ).
fof(f4388,plain,
( op(e2,e5) != op(e4,e3)
| ~ spl42_14
| spl42_261
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4387,f2668]) ).
fof(f4387,plain,
( op(e4,e3) != op(op(e4,e1),e5)
| ~ spl42_14
| spl42_261 ),
inference(forward_demodulation,[],[f1606,f613]) ).
fof(f1606,plain,
( op(op(e4,e1),e5) != op(e4,op(e1,e5))
| spl42_261 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl42_261
<=> op(op(e4,e1),e5) = op(e4,op(e1,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_261])]) ).
fof(f4385,plain,
( ~ spl42_259
| spl42_260
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f4384]) ).
fof(f4384,plain,
( $false
| ~ spl42_259
| spl42_260
| ~ spl42_305 ),
inference(trivial_inequality_removal,[],[f4383]) ).
fof(f4383,plain,
( op(e5,e5) != op(e5,e5)
| ~ spl42_259
| spl42_260
| ~ spl42_305 ),
inference(forward_demodulation,[],[f4382,f1781]) ).
fof(f4382,plain,
( op(e5,e5) != op(op(e5,unit),e5)
| ~ spl42_259
| spl42_260 ),
inference(forward_demodulation,[],[f1602,f1597]) ).
fof(f1602,plain,
( op(op(e5,unit),e5) != op(e5,op(unit,e5))
| spl42_260 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f1600,plain,
( spl42_260
<=> op(op(e5,unit),e5) = op(e5,op(unit,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_260])]) ).
fof(f4380,plain,
( spl42_257
| ~ spl42_419
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f4379]) ).
fof(f4379,plain,
( $false
| spl42_257
| ~ spl42_419
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f4378,f2446]) ).
fof(f4378,plain,
( op(e4,e5) != unit
| spl42_257
| ~ spl42_419 ),
inference(forward_demodulation,[],[f1590,f2370]) ).
fof(f2370,plain,
( e4 = inv(e5)
| ~ spl42_419 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f2369,plain,
( spl42_419
<=> e4 = inv(e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_419])]) ).
fof(f1590,plain,
( unit != op(inv(e5),e5)
| spl42_257 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1588,plain,
( spl42_257
<=> unit = op(inv(e5),e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_257])]) ).
fof(f4373,plain,
( ~ spl42_62
| spl42_255
| ~ spl42_355
| ~ spl42_409
| ~ spl42_459 ),
inference(avatar_contradiction_clause,[],[f4372]) ).
fof(f4372,plain,
( $false
| ~ spl42_62
| spl42_255
| ~ spl42_355
| ~ spl42_409
| ~ spl42_459 ),
inference(subsumption_resolution,[],[f4371,f2040]) ).
fof(f4371,plain,
( e2 != op(e5,e5)
| ~ spl42_62
| spl42_255
| ~ spl42_409
| ~ spl42_459 ),
inference(forward_demodulation,[],[f4370,f809]) ).
fof(f4370,plain,
( op(e5,e5) != op(unit,e2)
| spl42_255
| ~ spl42_409
| ~ spl42_459 ),
inference(forward_demodulation,[],[f4369,f2319]) ).
fof(f4369,plain,
( op(e5,e5) != op(op(e5,e4),e2)
| spl42_255
| ~ spl42_459 ),
inference(forward_demodulation,[],[f1582,f2574]) ).
fof(f1582,plain,
( op(op(e5,e4),e2) != op(e5,op(e4,e2))
| spl42_255 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1580,plain,
( spl42_255
<=> op(op(e5,e4),e2) = op(e5,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_255])]) ).
fof(f4367,plain,
( ~ spl42_115
| spl42_254
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f4366]) ).
fof(f4366,plain,
( $false
| ~ spl42_115
| spl42_254
| ~ spl42_305 ),
inference(trivial_inequality_removal,[],[f4365]) ).
fof(f4365,plain,
( op(e5,e3) != op(e5,e3)
| ~ spl42_115
| spl42_254
| ~ spl42_305 ),
inference(forward_demodulation,[],[f4364,f1781]) ).
fof(f4364,plain,
( op(e5,e3) != op(op(e5,unit),e3)
| ~ spl42_115
| spl42_254 ),
inference(forward_demodulation,[],[f1578,f1021]) ).
fof(f1578,plain,
( op(op(e5,unit),e3) != op(e5,op(unit,e3))
| spl42_254 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1576,plain,
( spl42_254
<=> op(op(e5,unit),e3) = op(e5,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).
fof(f4360,plain,
( spl42_253
| ~ spl42_378
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f4359]) ).
fof(f4359,plain,
( $false
| spl42_253
| ~ spl42_378
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f4358,f2883]) ).
fof(f4358,plain,
( e1 != op(e3,e4)
| spl42_253
| ~ spl42_378 ),
inference(forward_demodulation,[],[f1574,f2158]) ).
fof(f1574,plain,
( op(e3,e4) != op(e4,e3)
| spl42_253 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1572,plain,
( spl42_253
<=> op(e3,e4) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_253])]) ).
fof(f4357,plain,
( spl42_252
| ~ spl42_353
| ~ spl42_373
| ~ spl42_459
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f4356]) ).
fof(f4356,plain,
( $false
| spl42_252
| ~ spl42_353
| ~ spl42_373
| ~ spl42_459
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f4355,f2600]) ).
fof(f4355,plain,
( e5 != op(e2,e4)
| spl42_252
| ~ spl42_353
| ~ spl42_373
| ~ spl42_459 ),
inference(forward_demodulation,[],[f4354,f2574]) ).
fof(f4354,plain,
( op(e2,e4) != op(e4,e2)
| spl42_252
| ~ spl42_353
| ~ spl42_373 ),
inference(forward_demodulation,[],[f4353,f2133]) ).
fof(f4353,plain,
( op(e2,e4) != op(op(e2,e1),e2)
| spl42_252
| ~ spl42_353 ),
inference(forward_demodulation,[],[f1570,f2029]) ).
fof(f1570,plain,
( op(op(e2,e1),e2) != op(e2,op(e1,e2))
| spl42_252 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1568,plain,
( spl42_252
<=> op(op(e2,e1),e2) = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_252])]) ).
fof(f4349,plain,
( ~ spl42_111
| spl42_251
| ~ spl42_353
| ~ spl42_378
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f4348]) ).
fof(f4348,plain,
( $false
| ~ spl42_111
| spl42_251
| ~ spl42_353
| ~ spl42_378
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f4347,f2158]) ).
fof(f4347,plain,
( e1 != op(e4,e3)
| ~ spl42_111
| spl42_251
| ~ spl42_353
| ~ spl42_516 ),
inference(forward_demodulation,[],[f4346,f2029]) ).
fof(f4346,plain,
( e1 != op(op(e1,e2),e3)
| ~ spl42_111
| spl42_251
| ~ spl42_516 ),
inference(forward_demodulation,[],[f4345,f1005]) ).
fof(f4345,plain,
( op(op(e1,e2),e3) != op(e1,unit)
| spl42_251
| ~ spl42_516 ),
inference(forward_demodulation,[],[f1566,f2868]) ).
fof(f1566,plain,
( op(op(e1,e2),e3) != op(e1,op(e2,e3))
| spl42_251 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1564,plain,
( spl42_251
<=> op(op(e1,e2),e3) = op(e1,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).
fof(f4343,plain,
( ~ spl42_115
| ~ spl42_172
| spl42_250 ),
inference(avatar_contradiction_clause,[],[f4342]) ).
fof(f4342,plain,
( $false
| ~ spl42_115
| ~ spl42_172
| spl42_250 ),
inference(trivial_inequality_removal,[],[f4341]) ).
fof(f4341,plain,
( op(e2,e3) != op(e2,e3)
| ~ spl42_115
| ~ spl42_172
| spl42_250 ),
inference(forward_demodulation,[],[f4340,f1021]) ).
fof(f4340,plain,
( op(e2,e3) != op(e2,op(unit,e3))
| ~ spl42_172
| spl42_250 ),
inference(forward_demodulation,[],[f1562,f1249]) ).
fof(f1562,plain,
( op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| spl42_250 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1560,plain,
( spl42_250
<=> op(e2,op(unit,e3)) = op(op(e2,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_250])]) ).
fof(f4338,plain,
( spl42_249
| ~ spl42_399
| ~ spl42_409 ),
inference(avatar_contradiction_clause,[],[f4337]) ).
fof(f4337,plain,
( $false
| spl42_249
| ~ spl42_399
| ~ spl42_409 ),
inference(subsumption_resolution,[],[f4336,f2319]) ).
fof(f4336,plain,
( op(e5,e4) != unit
| spl42_249
| ~ spl42_399 ),
inference(forward_demodulation,[],[f1558,f2269]) ).
fof(f2269,plain,
( e5 = inv(e4)
| ~ spl42_399 ),
inference(avatar_component_clause,[],[f2268]) ).
fof(f2268,plain,
( spl42_399
<=> e5 = inv(e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_399])]) ).
fof(f1558,plain,
( unit != op(inv(e4),e4)
| spl42_249 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1556,plain,
( spl42_249
<=> unit = op(inv(e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_249])]) ).
fof(f4329,plain,
( spl42_247
| ~ spl42_519
| ~ spl42_520
| ~ spl42_522
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4328]) ).
fof(f4328,plain,
( $false
| spl42_247
| ~ spl42_519
| ~ spl42_520
| ~ spl42_522
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4327,f2899]) ).
fof(f4327,plain,
( e1 != op(e2,e5)
| spl42_247
| ~ spl42_519
| ~ spl42_520
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4326,f2883]) ).
fof(f4326,plain,
( op(e2,e5) != op(e3,e4)
| spl42_247
| ~ spl42_520
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4325,f2888]) ).
fof(f4325,plain,
( op(e3,e4) != op(op(e3,e3),e5)
| spl42_247
| ~ spl42_539 ),
inference(forward_demodulation,[],[f1550,f2987]) ).
fof(f1550,plain,
( op(op(e3,e3),e5) != op(e3,op(e3,e5))
| spl42_247 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1548,plain,
( spl42_247
<=> op(op(e3,e3),e5) = op(e3,op(e3,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_247])]) ).
fof(f4324,plain,
( ~ spl42_111
| spl42_242
| ~ spl42_434
| ~ spl42_478
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f4323]) ).
fof(f4323,plain,
( $false
| ~ spl42_111
| spl42_242
| ~ spl42_434
| ~ spl42_478
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f4322,f2899]) ).
fof(f4322,plain,
( e1 != op(e2,e5)
| ~ spl42_111
| spl42_242
| ~ spl42_434
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4321,f2673]) ).
fof(f4321,plain,
( e1 != op(op(e1,e4),e5)
| ~ spl42_111
| spl42_242
| ~ spl42_434 ),
inference(forward_demodulation,[],[f4320,f1005]) ).
fof(f4320,plain,
( op(op(e1,e4),e5) != op(e1,unit)
| spl42_242
| ~ spl42_434 ),
inference(forward_demodulation,[],[f1530,f2446]) ).
fof(f1530,plain,
( op(op(e1,e4),e5) != op(e1,op(e4,e5))
| spl42_242 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1528,plain,
( spl42_242
<=> op(op(e1,e4),e5) = op(e1,op(e4,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_242])]) ).
fof(f4318,plain,
( ~ spl42_115
| spl42_241
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f4317]) ).
fof(f4317,plain,
( $false
| ~ spl42_115
| spl42_241
| ~ spl42_258 ),
inference(subsumption_resolution,[],[f4316,f1021]) ).
fof(f4316,plain,
( e3 != op(unit,e3)
| spl42_241
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1526,f1593]) ).
fof(f1526,plain,
( op(unit,e3) != op(e3,unit)
| spl42_241 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl42_241
<=> op(unit,e3) = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_241])]) ).
fof(f4312,plain,
( ~ spl42_16
| spl42_239
| ~ spl42_314
| ~ spl42_353
| ~ spl42_409 ),
inference(avatar_contradiction_clause,[],[f4311]) ).
fof(f4311,plain,
( $false
| ~ spl42_16
| spl42_239
| ~ spl42_314
| ~ spl42_353
| ~ spl42_409 ),
inference(subsumption_resolution,[],[f4310,f622]) ).
fof(f4310,plain,
( op(e3,e2) != unit
| spl42_239
| ~ spl42_314
| ~ spl42_353
| ~ spl42_409 ),
inference(forward_demodulation,[],[f4309,f2319]) ).
fof(f4309,plain,
( op(e3,e2) != op(e5,e4)
| spl42_239
| ~ spl42_314
| ~ spl42_353 ),
inference(forward_demodulation,[],[f4308,f1824]) ).
fof(f4308,plain,
( op(e5,e4) != op(op(e5,e1),e2)
| spl42_239
| ~ spl42_353 ),
inference(forward_demodulation,[],[f1518,f2029]) ).
fof(f1518,plain,
( op(op(e5,e1),e2) != op(e5,op(e1,e2))
| spl42_239 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1516,plain,
( spl42_239
<=> op(op(e5,e1),e2) = op(e5,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_239])]) ).
fof(f4303,plain,
( ~ spl42_14
| spl42_238
| ~ spl42_378
| ~ spl42_529
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4302]) ).
fof(f4302,plain,
( $false
| ~ spl42_14
| spl42_238
| ~ spl42_378
| ~ spl42_529
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4301,f613]) ).
fof(f4301,plain,
( e3 != op(e1,e5)
| spl42_238
| ~ spl42_378
| ~ spl42_529
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4300,f2936]) ).
fof(f4300,plain,
( op(e1,e5) != op(e4,e4)
| spl42_238
| ~ spl42_378
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4299,f2158]) ).
fof(f4299,plain,
( op(e4,e4) != op(op(e4,e3),e5)
| spl42_238
| ~ spl42_539 ),
inference(forward_demodulation,[],[f1514,f2987]) ).
fof(f1514,plain,
( op(op(e4,e3),e5) != op(e4,op(e3,e5))
| spl42_238 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1512,plain,
( spl42_238
<=> op(op(e4,e3),e5) = op(e4,op(e3,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_238])]) ).
fof(f4297,plain,
( ~ spl42_111
| ~ spl42_115
| spl42_237 ),
inference(avatar_contradiction_clause,[],[f4296]) ).
fof(f4296,plain,
( $false
| ~ spl42_111
| ~ spl42_115
| spl42_237 ),
inference(trivial_inequality_removal,[],[f4295]) ).
fof(f4295,plain,
( op(e1,e3) != op(e1,e3)
| ~ spl42_111
| ~ spl42_115
| spl42_237 ),
inference(forward_demodulation,[],[f4294,f1021]) ).
fof(f4294,plain,
( op(e1,e3) != op(e1,op(unit,e3))
| ~ spl42_111
| spl42_237 ),
inference(forward_demodulation,[],[f1510,f1005]) ).
fof(f1510,plain,
( op(e1,op(unit,e3)) != op(op(e1,unit),e3)
| spl42_237 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1508,plain,
( spl42_237
<=> op(e1,op(unit,e3)) = op(op(e1,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_237])]) ).
fof(f4290,plain,
( ~ spl42_62
| spl42_236
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f4289]) ).
fof(f4289,plain,
( $false
| ~ spl42_62
| spl42_236
| ~ spl42_305 ),
inference(trivial_inequality_removal,[],[f4288]) ).
fof(f4288,plain,
( op(e5,e2) != op(e5,e2)
| ~ spl42_62
| spl42_236
| ~ spl42_305 ),
inference(forward_demodulation,[],[f4287,f1781]) ).
fof(f4287,plain,
( op(e5,e2) != op(op(e5,unit),e2)
| ~ spl42_62
| spl42_236 ),
inference(forward_demodulation,[],[f1506,f809]) ).
fof(f1506,plain,
( op(op(e5,unit),e2) != op(e5,op(unit,e2))
| spl42_236 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1504,plain,
( spl42_236
<=> op(op(e5,unit),e2) = op(e5,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_236])]) ).
fof(f4283,plain,
( spl42_235
| ~ spl42_312
| ~ spl42_314
| ~ spl42_355
| ~ spl42_422 ),
inference(avatar_contradiction_clause,[],[f4282]) ).
fof(f4282,plain,
( $false
| spl42_235
| ~ spl42_312
| ~ spl42_314
| ~ spl42_355
| ~ spl42_422 ),
inference(subsumption_resolution,[],[f4281,f2385]) ).
fof(f4281,plain,
( e3 != op(e2,e2)
| spl42_235
| ~ spl42_312
| ~ spl42_314
| ~ spl42_355 ),
inference(forward_demodulation,[],[f4280,f1824]) ).
fof(f4280,plain,
( op(e2,e2) != op(e5,e1)
| spl42_235
| ~ spl42_312
| ~ spl42_355 ),
inference(forward_demodulation,[],[f4279,f2040]) ).
fof(f4279,plain,
( op(e5,e1) != op(op(e5,e5),e2)
| spl42_235
| ~ spl42_312 ),
inference(forward_demodulation,[],[f1502,f1814]) ).
fof(f1502,plain,
( op(op(e5,e5),e2) != op(e5,op(e5,e2))
| spl42_235 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1500,plain,
( spl42_235
<=> op(op(e5,e5),e2) = op(e5,op(e5,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).
fof(f4278,plain,
( spl42_234
| ~ spl42_314
| ~ spl42_468
| ~ spl42_516
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f4277]) ).
fof(f4277,plain,
( $false
| spl42_234
| ~ spl42_314
| ~ spl42_468
| ~ spl42_516
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f4276,f2620]) ).
fof(f4276,plain,
( op(e1,e1) != unit
| spl42_234
| ~ spl42_314
| ~ spl42_516
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4275,f2868]) ).
fof(f4275,plain,
( op(e1,e1) != op(e2,e3)
| spl42_234
| ~ spl42_314
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4274,f2899]) ).
fof(f4274,plain,
( op(e2,e3) != op(op(e2,e5),e1)
| spl42_234
| ~ spl42_314 ),
inference(forward_demodulation,[],[f1498,f1824]) ).
fof(f1498,plain,
( op(op(e2,e5),e1) != op(e2,op(e5,e1))
| spl42_234 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f1496,plain,
( spl42_234
<=> op(op(e2,e5),e1) = op(e2,op(e5,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).
fof(f4268,plain,
( ~ spl42_111
| spl42_233
| ~ spl42_305
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f4267]) ).
fof(f4267,plain,
( $false
| ~ spl42_111
| spl42_233
| ~ spl42_305
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f4266,f2899]) ).
fof(f4266,plain,
( e1 != op(e2,e5)
| ~ spl42_111
| spl42_233
| ~ spl42_305
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4265,f1005]) ).
fof(f4265,plain,
( op(e2,e5) != op(e1,unit)
| spl42_233
| ~ spl42_305
| ~ spl42_522 ),
inference(forward_demodulation,[],[f4264,f1781]) ).
fof(f4264,plain,
( op(e1,unit) != op(e2,op(e5,unit))
| spl42_233
| ~ spl42_522 ),
inference(forward_demodulation,[],[f1494,f2899]) ).
fof(f1494,plain,
( op(e2,op(e5,unit)) != op(op(e2,e5),unit)
| spl42_233 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1492,plain,
( spl42_233
<=> op(e2,op(e5,unit)) = op(op(e2,e5),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).
fof(f4260,plain,
( ~ spl42_6
| ~ spl42_111
| spl42_231
| ~ spl42_373 ),
inference(avatar_contradiction_clause,[],[f4259]) ).
fof(f4259,plain,
( $false
| ~ spl42_6
| ~ spl42_111
| spl42_231
| ~ spl42_373 ),
inference(subsumption_resolution,[],[f4258,f576]) ).
fof(f4258,plain,
( e4 != op(e4,unit)
| ~ spl42_111
| spl42_231
| ~ spl42_373 ),
inference(forward_demodulation,[],[f4257,f2133]) ).
fof(f4257,plain,
( op(e2,e1) != op(op(e2,e1),unit)
| ~ spl42_111
| spl42_231 ),
inference(forward_demodulation,[],[f1486,f1005]) ).
fof(f1486,plain,
( op(op(e2,e1),unit) != op(e2,op(e1,unit))
| spl42_231 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1484,plain,
( spl42_231
<=> op(op(e2,e1),unit) = op(e2,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_231])]) ).
fof(f4253,plain,
( spl42_230
| ~ spl42_478
| ~ spl42_519
| ~ spl42_520
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4252]) ).
fof(f4252,plain,
( $false
| spl42_230
| ~ spl42_478
| ~ spl42_519
| ~ spl42_520
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4251,f2673]) ).
fof(f4251,plain,
( e2 != op(e1,e4)
| spl42_230
| ~ spl42_519
| ~ spl42_520
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4250,f2888]) ).
fof(f4250,plain,
( op(e1,e4) != op(e3,e3)
| spl42_230
| ~ spl42_519
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4249,f2883]) ).
fof(f4249,plain,
( op(e3,e3) != op(op(e3,e4),e4)
| spl42_230
| ~ spl42_529 ),
inference(forward_demodulation,[],[f1482,f2936]) ).
fof(f1482,plain,
( op(op(e3,e4),e4) != op(e3,op(e4,e4))
| spl42_230 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1480,plain,
( spl42_230
<=> op(op(e3,e4),e4) = op(e3,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_230])]) ).
fof(f4247,plain,
( spl42_229
| ~ spl42_366
| ~ spl42_378
| ~ spl42_519
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4246]) ).
fof(f4246,plain,
( $false
| spl42_229
| ~ spl42_366
| ~ spl42_378
| ~ spl42_519
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4245,f2883]) ).
fof(f4245,plain,
( e1 != op(e3,e4)
| spl42_229
| ~ spl42_366
| ~ spl42_378
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4244,f2158]) ).
fof(f4244,plain,
( op(e3,e4) != op(e4,e3)
| spl42_229
| ~ spl42_366
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4243,f2987]) ).
fof(f4243,plain,
( op(e3,e4) != op(op(e3,e5),e3)
| spl42_229
| ~ spl42_366 ),
inference(forward_demodulation,[],[f1478,f2097]) ).
fof(f1478,plain,
( op(op(e3,e5),e3) != op(e3,op(e5,e3))
| spl42_229 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1476,plain,
( spl42_229
<=> op(op(e3,e5),e3) = op(e3,op(e5,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_229])]) ).
fof(f4239,plain,
( spl42_228
| ~ spl42_258
| ~ spl42_259 ),
inference(avatar_contradiction_clause,[],[f4238]) ).
fof(f4238,plain,
( $false
| spl42_228
| ~ spl42_258
| ~ spl42_259 ),
inference(trivial_inequality_removal,[],[f4237]) ).
fof(f4237,plain,
( op(e3,e5) != op(e3,e5)
| spl42_228
| ~ spl42_258
| ~ spl42_259 ),
inference(forward_demodulation,[],[f4236,f1597]) ).
fof(f4236,plain,
( op(e3,e5) != op(e3,op(unit,e5))
| spl42_228
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1474,f1593]) ).
fof(f1474,plain,
( op(e3,op(unit,e5)) != op(op(e3,unit),e5)
| spl42_228 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1472,plain,
( spl42_228
<=> op(e3,op(unit,e5)) = op(op(e3,unit),e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_228])]) ).
fof(f4235,plain,
( ~ spl42_6
| spl42_227
| ~ spl42_373
| ~ spl42_468
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f4234]) ).
fof(f4234,plain,
( $false
| ~ spl42_6
| spl42_227
| ~ spl42_373
| ~ spl42_468
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f4233,f2133]) ).
fof(f4233,plain,
( e4 != op(e2,e1)
| ~ spl42_6
| spl42_227
| ~ spl42_468
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4232,f2668]) ).
fof(f4232,plain,
( e4 != op(op(e4,e1),e1)
| ~ spl42_6
| spl42_227
| ~ spl42_468 ),
inference(forward_demodulation,[],[f4231,f576]) ).
fof(f4231,plain,
( op(op(e4,e1),e1) != op(e4,unit)
| spl42_227
| ~ spl42_468 ),
inference(forward_demodulation,[],[f1470,f2620]) ).
fof(f1470,plain,
( op(op(e4,e1),e1) != op(e4,op(e1,e1))
| spl42_227 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1468,plain,
( spl42_227
<=> op(op(e4,e1),e1) = op(e4,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_227])]) ).
fof(f4227,plain,
( spl42_226
| ~ spl42_353
| ~ spl42_459
| ~ spl42_519
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4226]) ).
fof(f4226,plain,
( $false
| spl42_226
| ~ spl42_353
| ~ spl42_459
| ~ spl42_519
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4225,f2029]) ).
fof(f4225,plain,
( e4 != op(e1,e2)
| spl42_226
| ~ spl42_459
| ~ spl42_519
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4224,f2987]) ).
fof(f4224,plain,
( op(e1,e2) != op(e3,e5)
| spl42_226
| ~ spl42_459
| ~ spl42_519 ),
inference(forward_demodulation,[],[f4223,f2883]) ).
fof(f4223,plain,
( op(e3,e5) != op(op(e3,e4),e2)
| spl42_226
| ~ spl42_459 ),
inference(forward_demodulation,[],[f1466,f2574]) ).
fof(f1466,plain,
( op(op(e3,e4),e2) != op(e3,op(e4,e2))
| spl42_226 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1464,plain,
( spl42_226
<=> op(op(e3,e4),e2) = op(e3,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_226])]) ).
fof(f4218,plain,
( ~ spl42_172
| ~ spl42_183
| spl42_225 ),
inference(avatar_contradiction_clause,[],[f4217]) ).
fof(f4217,plain,
( $false
| ~ spl42_172
| ~ spl42_183
| spl42_225 ),
inference(trivial_inequality_removal,[],[f4216]) ).
fof(f4216,plain,
( op(e2,e1) != op(e2,e1)
| ~ spl42_172
| ~ spl42_183
| spl42_225 ),
inference(forward_demodulation,[],[f4215,f1293]) ).
fof(f4215,plain,
( op(e2,e1) != op(e2,op(unit,e1))
| ~ spl42_172
| spl42_225 ),
inference(forward_demodulation,[],[f1462,f1249]) ).
fof(f1462,plain,
( op(e2,op(unit,e1)) != op(op(e2,unit),e1)
| spl42_225 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1460,plain,
( spl42_225
<=> op(e2,op(unit,e1)) = op(op(e2,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_225])]) ).
fof(f4214,plain,
( ~ spl42_16
| spl42_224
| ~ spl42_434
| ~ spl42_459
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4213]) ).
fof(f4213,plain,
( $false
| ~ spl42_16
| spl42_224
| ~ spl42_434
| ~ spl42_459
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4212,f622]) ).
fof(f4212,plain,
( op(e3,e2) != unit
| spl42_224
| ~ spl42_434
| ~ spl42_459
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4211,f2446]) ).
fof(f4211,plain,
( op(e3,e2) != op(e4,e5)
| spl42_224
| ~ spl42_459
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4210,f2936]) ).
fof(f4210,plain,
( op(e4,e5) != op(op(e4,e4),e2)
| spl42_224
| ~ spl42_459 ),
inference(forward_demodulation,[],[f1458,f2574]) ).
fof(f1458,plain,
( op(op(e4,e4),e2) != op(e4,op(e4,e2))
| spl42_224 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1456,plain,
( spl42_224
<=> op(op(e4,e4),e2) = op(e4,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_224])]) ).
fof(f4207,plain,
( ~ spl42_198
| spl42_223
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f4206]) ).
fof(f4206,plain,
( $false
| ~ spl42_198
| spl42_223
| ~ spl42_305 ),
inference(trivial_inequality_removal,[],[f4205]) ).
fof(f4205,plain,
( op(e5,unit) != op(e5,unit)
| ~ spl42_198
| spl42_223
| ~ spl42_305 ),
inference(forward_demodulation,[],[f4204,f1353]) ).
fof(f4204,plain,
( op(e5,unit) != op(e5,op(unit,unit))
| spl42_223
| ~ spl42_305 ),
inference(forward_demodulation,[],[f1454,f1781]) ).
fof(f1454,plain,
( op(e5,op(unit,unit)) != op(op(e5,unit),unit)
| spl42_223 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1452,plain,
( spl42_223
<=> op(e5,op(unit,unit)) = op(op(e5,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_223])]) ).
fof(f4203,plain,
( ~ spl42_6
| ~ spl42_62
| spl42_222 ),
inference(avatar_contradiction_clause,[],[f4202]) ).
fof(f4202,plain,
( $false
| ~ spl42_6
| ~ spl42_62
| spl42_222 ),
inference(trivial_inequality_removal,[],[f4201]) ).
fof(f4201,plain,
( op(e4,e2) != op(e4,e2)
| ~ spl42_6
| ~ spl42_62
| spl42_222 ),
inference(forward_demodulation,[],[f4200,f809]) ).
fof(f4200,plain,
( op(e4,e2) != op(e4,op(unit,e2))
| ~ spl42_6
| spl42_222 ),
inference(forward_demodulation,[],[f1450,f576]) ).
fof(f1450,plain,
( op(e4,op(unit,e2)) != op(op(e4,unit),e2)
| spl42_222 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1448,plain,
( spl42_222
<=> op(e4,op(unit,e2)) = op(op(e4,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).
fof(f4195,plain,
( ~ spl42_172
| spl42_221
| ~ spl42_305
| ~ spl42_355 ),
inference(avatar_contradiction_clause,[],[f4194]) ).
fof(f4194,plain,
( $false
| ~ spl42_172
| spl42_221
| ~ spl42_305
| ~ spl42_355 ),
inference(subsumption_resolution,[],[f4193,f1249]) ).
fof(f4193,plain,
( e2 != op(e2,unit)
| spl42_221
| ~ spl42_305
| ~ spl42_355 ),
inference(forward_demodulation,[],[f4192,f2040]) ).
fof(f4192,plain,
( op(e5,e5) != op(op(e5,e5),unit)
| spl42_221
| ~ spl42_305 ),
inference(forward_demodulation,[],[f1446,f1781]) ).
fof(f1446,plain,
( op(op(e5,e5),unit) != op(e5,op(e5,unit))
| spl42_221 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1444,plain,
( spl42_221
<=> op(op(e5,e5),unit) = op(e5,op(e5,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_221])]) ).
fof(f4191,plain,
( ~ spl42_6
| ~ spl42_198
| spl42_219 ),
inference(avatar_contradiction_clause,[],[f4190]) ).
fof(f4190,plain,
( $false
| ~ spl42_6
| ~ spl42_198
| spl42_219 ),
inference(subsumption_resolution,[],[f4189,f576]) ).
fof(f4189,plain,
( e4 != op(e4,unit)
| ~ spl42_6
| ~ spl42_198
| spl42_219 ),
inference(forward_demodulation,[],[f4188,f576]) ).
fof(f4188,plain,
( op(e4,unit) != op(op(e4,unit),unit)
| ~ spl42_198
| spl42_219 ),
inference(forward_demodulation,[],[f1438,f1353]) ).
fof(f1438,plain,
( op(op(e4,unit),unit) != op(e4,op(unit,unit))
| spl42_219 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1436,plain,
( spl42_219
<=> op(op(e4,unit),unit) = op(e4,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_219])]) ).
fof(f4184,plain,
( spl42_216
| ~ spl42_362
| ~ spl42_434
| ~ spl42_477
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f4183]) ).
fof(f4183,plain,
( $false
| spl42_216
| ~ spl42_362
| ~ spl42_434
| ~ spl42_477
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f4182,f2868]) ).
fof(f4182,plain,
( op(e2,e3) != unit
| spl42_216
| ~ spl42_362
| ~ spl42_434
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4181,f2446]) ).
fof(f4181,plain,
( op(e2,e3) != op(e4,e5)
| spl42_216
| ~ spl42_362
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4180,f2668]) ).
fof(f4180,plain,
( op(e4,e5) != op(op(e4,e1),e3)
| spl42_216
| ~ spl42_362 ),
inference(forward_demodulation,[],[f1426,f2077]) ).
fof(f1426,plain,
( op(op(e4,e1),e3) != op(e4,op(e1,e3))
| spl42_216 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1424,plain,
( spl42_216
<=> op(op(e4,e1),e3) = op(e4,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_216])]) ).
fof(f4176,plain,
( ~ spl42_16
| ~ spl42_70
| spl42_214
| ~ spl42_464
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4175]) ).
fof(f4175,plain,
( $false
| ~ spl42_16
| ~ spl42_70
| spl42_214
| ~ spl42_464
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4174,f2987]) ).
fof(f4174,plain,
( e4 != op(e3,e5)
| ~ spl42_16
| ~ spl42_70
| spl42_214
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4173,f841]) ).
fof(f4173,plain,
( op(e3,e5) != op(unit,e4)
| ~ spl42_16
| spl42_214
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4172,f622]) ).
fof(f4172,plain,
( op(e3,e5) != op(op(e3,e2),e4)
| spl42_214
| ~ spl42_464 ),
inference(forward_demodulation,[],[f1418,f2600]) ).
fof(f1418,plain,
( op(op(e3,e2),e4) != op(e3,op(e2,e4))
| spl42_214 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1416,plain,
( spl42_214
<=> op(op(e3,e2),e4) = op(e3,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_214])]) ).
fof(f4167,plain,
( ~ spl42_6
| ~ spl42_198
| spl42_213
| ~ spl42_409 ),
inference(avatar_contradiction_clause,[],[f4166]) ).
fof(f4166,plain,
( $false
| ~ spl42_6
| ~ spl42_198
| spl42_213
| ~ spl42_409 ),
inference(subsumption_resolution,[],[f4165,f2319]) ).
fof(f4165,plain,
( op(e5,e4) != unit
| ~ spl42_6
| ~ spl42_198
| spl42_213
| ~ spl42_409 ),
inference(forward_demodulation,[],[f4164,f1353]) ).
fof(f4164,plain,
( op(e5,e4) != op(unit,unit)
| ~ spl42_6
| spl42_213
| ~ spl42_409 ),
inference(forward_demodulation,[],[f4163,f576]) ).
fof(f4163,plain,
( op(unit,unit) != op(e5,op(e4,unit))
| spl42_213
| ~ spl42_409 ),
inference(forward_demodulation,[],[f1414,f2319]) ).
fof(f1414,plain,
( op(e5,op(e4,unit)) != op(op(e5,e4),unit)
| spl42_213 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1412,plain,
( spl42_213
<=> op(e5,op(e4,unit)) = op(op(e5,e4),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).
fof(f4161,plain,
( ~ spl42_70
| spl42_212
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f4160]) ).
fof(f4160,plain,
( $false
| ~ spl42_70
| spl42_212
| ~ spl42_258 ),
inference(trivial_inequality_removal,[],[f4159]) ).
fof(f4159,plain,
( op(e3,e4) != op(e3,e4)
| ~ spl42_70
| spl42_212
| ~ spl42_258 ),
inference(forward_demodulation,[],[f4158,f1593]) ).
fof(f4158,plain,
( op(e3,e4) != op(op(e3,unit),e4)
| ~ spl42_70
| spl42_212 ),
inference(forward_demodulation,[],[f1410,f841]) ).
fof(f1410,plain,
( op(op(e3,unit),e4) != op(e3,op(unit,e4))
| spl42_212 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1408,plain,
( spl42_212
<=> op(op(e3,unit),e4) = op(e3,op(unit,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_212])]) ).
fof(f4154,plain,
( ~ spl42_70
| ~ spl42_198
| spl42_211 ),
inference(avatar_contradiction_clause,[],[f4153]) ).
fof(f4153,plain,
( $false
| ~ spl42_70
| ~ spl42_198
| spl42_211 ),
inference(trivial_inequality_removal,[],[f4152]) ).
fof(f4152,plain,
( op(unit,e4) != op(unit,e4)
| ~ spl42_70
| ~ spl42_198
| spl42_211 ),
inference(forward_demodulation,[],[f4151,f1353]) ).
fof(f4151,plain,
( op(unit,e4) != op(op(unit,unit),e4)
| ~ spl42_70
| spl42_211 ),
inference(forward_demodulation,[],[f1406,f841]) ).
fof(f1406,plain,
( op(op(unit,unit),e4) != op(unit,op(unit,e4))
| spl42_211 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1404,plain,
( spl42_211
<=> op(op(unit,unit),e4) = op(unit,op(unit,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).
fof(f4150,plain,
( spl42_210
| ~ spl42_373
| ~ spl42_422
| ~ spl42_433
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f4149]) ).
fof(f4149,plain,
( $false
| spl42_210
| ~ spl42_373
| ~ spl42_422
| ~ spl42_433
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f4148,f2600]) ).
fof(f4148,plain,
( e5 != op(e2,e4)
| spl42_210
| ~ spl42_373
| ~ spl42_422
| ~ spl42_433 ),
inference(forward_demodulation,[],[f4147,f2441]) ).
fof(f4147,plain,
( op(e2,e4) != op(e3,e1)
| spl42_210
| ~ spl42_373
| ~ spl42_422 ),
inference(forward_demodulation,[],[f4146,f2385]) ).
fof(f4146,plain,
( op(e2,e4) != op(op(e2,e2),e1)
| spl42_210
| ~ spl42_373 ),
inference(forward_demodulation,[],[f1402,f2133]) ).
fof(f1402,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| spl42_210 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1400,plain,
( spl42_210
<=> op(op(e2,e2),e1) = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_210])]) ).
fof(f4140,plain,
( ~ spl42_115
| ~ spl42_198
| spl42_209 ),
inference(avatar_contradiction_clause,[],[f4139]) ).
fof(f4139,plain,
( $false
| ~ spl42_115
| ~ spl42_198
| spl42_209 ),
inference(subsumption_resolution,[],[f4138,f1021]) ).
fof(f4138,plain,
( e3 != op(unit,e3)
| ~ spl42_115
| ~ spl42_198
| spl42_209 ),
inference(forward_demodulation,[],[f4137,f1021]) ).
fof(f4137,plain,
( op(unit,e3) != op(unit,op(unit,e3))
| ~ spl42_198
| spl42_209 ),
inference(forward_demodulation,[],[f1398,f1353]) ).
fof(f1398,plain,
( op(unit,op(unit,e3)) != op(op(unit,unit),e3)
| spl42_209 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1396,plain,
( spl42_209
<=> op(unit,op(unit,e3)) = op(op(unit,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f4136,plain,
( ~ spl42_70
| spl42_208
| ~ spl42_259
| ~ spl42_366 ),
inference(avatar_contradiction_clause,[],[f4135]) ).
fof(f4135,plain,
( $false
| ~ spl42_70
| spl42_208
| ~ spl42_259
| ~ spl42_366 ),
inference(subsumption_resolution,[],[f4134,f2097]) ).
fof(f4134,plain,
( e4 != op(e5,e3)
| ~ spl42_70
| spl42_208
| ~ spl42_259
| ~ spl42_366 ),
inference(forward_demodulation,[],[f4133,f841]) ).
fof(f4133,plain,
( op(e5,e3) != op(unit,e4)
| spl42_208
| ~ spl42_259
| ~ spl42_366 ),
inference(forward_demodulation,[],[f4132,f1597]) ).
fof(f4132,plain,
( op(unit,e4) != op(op(unit,e5),e3)
| spl42_208
| ~ spl42_366 ),
inference(forward_demodulation,[],[f1394,f2097]) ).
fof(f1394,plain,
( op(op(unit,e5),e3) != op(unit,op(e5,e3))
| spl42_208 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1392,plain,
( spl42_208
<=> op(op(unit,e5),e3) = op(unit,op(e5,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).
fof(f4130,plain,
( ~ spl42_198
| spl42_207
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f4129]) ).
fof(f4129,plain,
( $false
| ~ spl42_198
| spl42_207
| ~ spl42_258 ),
inference(trivial_inequality_removal,[],[f4128]) ).
fof(f4128,plain,
( op(e3,unit) != op(e3,unit)
| ~ spl42_198
| spl42_207
| ~ spl42_258 ),
inference(forward_demodulation,[],[f4127,f1353]) ).
fof(f4127,plain,
( op(e3,unit) != op(e3,op(unit,unit))
| spl42_207
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1390,f1593]) ).
fof(f1390,plain,
( op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| spl42_207 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f1388,plain,
( spl42_207
<=> op(e3,op(unit,unit)) = op(op(e3,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).
fof(f4123,plain,
( spl42_206
| ~ spl42_305
| ~ spl42_355
| ~ spl42_409
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f4122]) ).
fof(f4122,plain,
( $false
| spl42_206
| ~ spl42_305
| ~ spl42_355
| ~ spl42_409
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f4121,f2600]) ).
fof(f4121,plain,
( e5 != op(e2,e4)
| spl42_206
| ~ spl42_305
| ~ spl42_355
| ~ spl42_409 ),
inference(forward_demodulation,[],[f4120,f2040]) ).
fof(f4120,plain,
( e5 != op(op(e5,e5),e4)
| spl42_206
| ~ spl42_305
| ~ spl42_409 ),
inference(forward_demodulation,[],[f4119,f1781]) ).
fof(f4119,plain,
( op(op(e5,e5),e4) != op(e5,unit)
| spl42_206
| ~ spl42_409 ),
inference(forward_demodulation,[],[f1386,f2319]) ).
fof(f1386,plain,
( op(op(e5,e5),e4) != op(e5,op(e5,e4))
| spl42_206 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1384,plain,
( spl42_206
<=> op(op(e5,e5),e4) = op(e5,op(e5,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_206])]) ).
fof(f4115,plain,
( ~ spl42_16
| ~ spl42_115
| spl42_205
| ~ spl42_258
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f4114]) ).
fof(f4114,plain,
( $false
| ~ spl42_16
| ~ spl42_115
| spl42_205
| ~ spl42_258
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f4113,f1021]) ).
fof(f4113,plain,
( e3 != op(unit,e3)
| ~ spl42_16
| spl42_205
| ~ spl42_258
| ~ spl42_516 ),
inference(forward_demodulation,[],[f4112,f622]) ).
fof(f4112,plain,
( e3 != op(op(e3,e2),e3)
| spl42_205
| ~ spl42_258
| ~ spl42_516 ),
inference(forward_demodulation,[],[f4111,f1593]) ).
fof(f4111,plain,
( op(op(e3,e2),e3) != op(e3,unit)
| spl42_205
| ~ spl42_516 ),
inference(forward_demodulation,[],[f1382,f2868]) ).
fof(f1382,plain,
( op(op(e3,e2),e3) != op(e3,op(e2,e3))
| spl42_205 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1380,plain,
( spl42_205
<=> op(op(e3,e2),e3) = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_205])]) ).
fof(f4107,plain,
( spl42_204
| ~ spl42_459
| ~ spl42_464
| ~ spl42_477
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f4106]) ).
fof(f4106,plain,
( $false
| spl42_204
| ~ spl42_459
| ~ spl42_464
| ~ spl42_477
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f4105,f2600]) ).
fof(f4105,plain,
( e5 != op(e2,e4)
| spl42_204
| ~ spl42_459
| ~ spl42_477
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4104,f2574]) ).
fof(f4104,plain,
( op(e2,e4) != op(e4,e2)
| spl42_204
| ~ spl42_477
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4103,f2668]) ).
fof(f4103,plain,
( op(e4,e2) != op(op(e4,e1),e4)
| spl42_204
| ~ spl42_478 ),
inference(forward_demodulation,[],[f1378,f2673]) ).
fof(f1378,plain,
( op(op(e4,e1),e4) != op(e4,op(e1,e4))
| spl42_204 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1376,plain,
( spl42_204
<=> op(op(e4,e1),e4) = op(e4,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).
fof(f4100,plain,
( ~ spl42_62
| ~ spl42_70
| spl42_203
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f4099]) ).
fof(f4099,plain,
( $false
| ~ spl42_62
| ~ spl42_70
| spl42_203
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f4098,f809]) ).
fof(f4098,plain,
( e2 != op(unit,e2)
| ~ spl42_70
| spl42_203
| ~ spl42_477 ),
inference(forward_demodulation,[],[f4097,f2668]) ).
fof(f4097,plain,
( op(e4,e1) != op(unit,op(e4,e1))
| ~ spl42_70
| spl42_203 ),
inference(forward_demodulation,[],[f1374,f841]) ).
fof(f1374,plain,
( op(unit,op(e4,e1)) != op(op(unit,e4),e1)
| spl42_203 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1372,plain,
( spl42_203
<=> op(unit,op(e4,e1)) = op(op(unit,e4),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).
fof(f4093,plain,
( ~ spl42_16
| spl42_202
| ~ spl42_258
| ~ spl42_422
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f4092]) ).
fof(f4092,plain,
( $false
| ~ spl42_16
| spl42_202
| ~ spl42_258
| ~ spl42_422
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f4091,f2385]) ).
fof(f4091,plain,
( e3 != op(e2,e2)
| ~ spl42_16
| spl42_202
| ~ spl42_258
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4090,f2888]) ).
fof(f4090,plain,
( e3 != op(op(e3,e3),e2)
| ~ spl42_16
| spl42_202
| ~ spl42_258 ),
inference(forward_demodulation,[],[f4089,f1593]) ).
fof(f4089,plain,
( op(op(e3,e3),e2) != op(e3,unit)
| ~ spl42_16
| spl42_202 ),
inference(forward_demodulation,[],[f1370,f622]) ).
fof(f1370,plain,
( op(op(e3,e3),e2) != op(e3,op(e3,e2))
| spl42_202 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1368,plain,
( spl42_202
<=> op(op(e3,e3),e2) = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_202])]) ).
fof(f4084,plain,
( ~ spl42_183
| spl42_201
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f4083]) ).
fof(f4083,plain,
( $false
| ~ spl42_183
| spl42_201
| ~ spl42_258 ),
inference(trivial_inequality_removal,[],[f4082]) ).
fof(f4082,plain,
( op(e3,e1) != op(e3,e1)
| ~ spl42_183
| spl42_201
| ~ spl42_258 ),
inference(forward_demodulation,[],[f4081,f1293]) ).
fof(f4081,plain,
( op(e3,e1) != op(e3,op(unit,e1))
| spl42_201
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1366,f1593]) ).
fof(f1366,plain,
( op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| spl42_201 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1364,plain,
( spl42_201
<=> op(e3,op(unit,e1)) = op(op(e3,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).
fof(f4080,plain,
( spl42_200
| ~ spl42_314
| ~ spl42_355
| ~ spl42_362
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f4079]) ).
fof(f4079,plain,
( $false
| spl42_200
| ~ spl42_314
| ~ spl42_355
| ~ spl42_362
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f4078,f2888]) ).
fof(f4078,plain,
( e2 != op(e3,e3)
| spl42_200
| ~ spl42_314
| ~ spl42_355
| ~ spl42_362 ),
inference(forward_demodulation,[],[f4077,f2040]) ).
fof(f4077,plain,
( op(e3,e3) != op(e5,e5)
| spl42_200
| ~ spl42_314
| ~ spl42_362 ),
inference(forward_demodulation,[],[f4076,f1824]) ).
fof(f4076,plain,
( op(e5,e5) != op(op(e5,e1),e3)
| spl42_200
| ~ spl42_362 ),
inference(forward_demodulation,[],[f1362,f2077]) ).
fof(f1362,plain,
( op(op(e5,e1),e3) != op(e5,op(e1,e3))
| spl42_200 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1360,plain,
( spl42_200
<=> op(op(e5,e1),e3) = op(e5,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_200])]) ).
fof(f4072,plain,
( ~ spl42_14
| spl42_199
| ~ spl42_314
| ~ spl42_366
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4071]) ).
fof(f4071,plain,
( $false
| ~ spl42_14
| spl42_199
| ~ spl42_314
| ~ spl42_366
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4070,f2987]) ).
fof(f4070,plain,
( e4 != op(e3,e5)
| ~ spl42_14
| spl42_199
| ~ spl42_314
| ~ spl42_366 ),
inference(forward_demodulation,[],[f4069,f2097]) ).
fof(f4069,plain,
( op(e3,e5) != op(e5,e3)
| ~ spl42_14
| spl42_199
| ~ spl42_314 ),
inference(forward_demodulation,[],[f4068,f1824]) ).
fof(f4068,plain,
( op(e5,e3) != op(op(e5,e1),e5)
| ~ spl42_14
| spl42_199 ),
inference(forward_demodulation,[],[f1358,f613]) ).
fof(f1358,plain,
( op(op(e5,e1),e5) != op(e5,op(e1,e5))
| spl42_199 ),
inference(avatar_component_clause,[],[f1356]) ).
fof(f1356,plain,
( spl42_199
<=> op(op(e5,e1),e5) = op(e5,op(e1,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).
fof(f4062,plain,
( spl42_197
| ~ spl42_314
| ~ spl42_355
| ~ spl42_366
| ~ spl42_373 ),
inference(avatar_contradiction_clause,[],[f4061]) ).
fof(f4061,plain,
( $false
| spl42_197
| ~ spl42_314
| ~ spl42_355
| ~ spl42_366
| ~ spl42_373 ),
inference(subsumption_resolution,[],[f4060,f2133]) ).
fof(f4060,plain,
( e4 != op(e2,e1)
| spl42_197
| ~ spl42_314
| ~ spl42_355
| ~ spl42_366 ),
inference(forward_demodulation,[],[f4059,f2097]) ).
fof(f4059,plain,
( op(e2,e1) != op(e5,e3)
| spl42_197
| ~ spl42_314
| ~ spl42_355 ),
inference(forward_demodulation,[],[f4058,f2040]) ).
fof(f4058,plain,
( op(e5,e3) != op(op(e5,e5),e1)
| spl42_197
| ~ spl42_314 ),
inference(forward_demodulation,[],[f1350,f1824]) ).
fof(f1350,plain,
( op(op(e5,e5),e1) != op(e5,op(e5,e1))
| spl42_197 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1348,plain,
( spl42_197
<=> op(op(e5,e5),e1) = op(e5,op(e5,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).
fof(f4057,plain,
( ~ spl42_16
| spl42_196
| ~ spl42_422
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f4056]) ).
fof(f4056,plain,
( $false
| ~ spl42_16
| spl42_196
| ~ spl42_422
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f4055,f2868]) ).
fof(f4055,plain,
( op(e2,e3) != unit
| ~ spl42_16
| spl42_196
| ~ spl42_422 ),
inference(forward_demodulation,[],[f4054,f622]) ).
fof(f4054,plain,
( op(e2,e3) != op(e3,e2)
| spl42_196
| ~ spl42_422 ),
inference(forward_demodulation,[],[f1346,f2385]) ).
fof(f1346,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| spl42_196 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1344,plain,
( spl42_196
<=> op(op(e2,e2),e2) = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_196])]) ).
fof(f4049,plain,
( spl42_195
| ~ spl42_433
| ~ spl42_464
| ~ spl42_519
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f4048]) ).
fof(f4048,plain,
( $false
| spl42_195
| ~ spl42_433
| ~ spl42_464
| ~ spl42_519
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f4047,f2600]) ).
fof(f4047,plain,
( e5 != op(e2,e4)
| spl42_195
| ~ spl42_433
| ~ spl42_519
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4046,f2441]) ).
fof(f4046,plain,
( op(e2,e4) != op(e3,e1)
| spl42_195
| ~ spl42_519
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4045,f2888]) ).
fof(f4045,plain,
( op(e3,e1) != op(op(e3,e3),e4)
| spl42_195
| ~ spl42_519 ),
inference(forward_demodulation,[],[f1342,f2883]) ).
fof(f1342,plain,
( op(op(e3,e3),e4) != op(e3,op(e3,e4))
| spl42_195 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1340,plain,
( spl42_195
<=> op(op(e3,e3),e4) = op(e3,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_195])]) ).
fof(f4044,plain,
( ~ spl42_172
| spl42_194
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f4043]) ).
fof(f4043,plain,
( $false
| ~ spl42_172
| spl42_194
| ~ spl42_198 ),
inference(trivial_inequality_removal,[],[f4042]) ).
fof(f4042,plain,
( op(e2,unit) != op(e2,unit)
| ~ spl42_172
| spl42_194
| ~ spl42_198 ),
inference(forward_demodulation,[],[f4041,f1353]) ).
fof(f4041,plain,
( op(e2,unit) != op(e2,op(unit,unit))
| ~ spl42_172
| spl42_194 ),
inference(forward_demodulation,[],[f1338,f1249]) ).
fof(f1338,plain,
( op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| spl42_194 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1336,plain,
( spl42_194
<=> op(e2,op(unit,unit)) = op(op(e2,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).
fof(f4034,plain,
( spl42_193
| ~ spl42_378
| ~ spl42_468
| ~ spl42_478
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f4033]) ).
fof(f4033,plain,
( $false
| spl42_193
| ~ spl42_378
| ~ spl42_468
| ~ spl42_478
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f4032,f2620]) ).
fof(f4032,plain,
( op(e1,e1) != unit
| spl42_193
| ~ spl42_378
| ~ spl42_478
| ~ spl42_516 ),
inference(forward_demodulation,[],[f4031,f2868]) ).
fof(f4031,plain,
( op(e1,e1) != op(e2,e3)
| spl42_193
| ~ spl42_378
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4030,f2673]) ).
fof(f4030,plain,
( op(e1,e1) != op(op(e1,e4),e3)
| spl42_193
| ~ spl42_378 ),
inference(forward_demodulation,[],[f1334,f2158]) ).
fof(f1334,plain,
( op(op(e1,e4),e3) != op(e1,op(e4,e3))
| spl42_193 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1332,plain,
( spl42_193
<=> op(op(e1,e4),e3) = op(e1,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_193])]) ).
fof(f4029,plain,
( ~ spl42_62
| spl42_192
| ~ spl42_259
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f4028]) ).
fof(f4028,plain,
( $false
| ~ spl42_62
| spl42_192
| ~ spl42_259
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f4027,f2600]) ).
fof(f4027,plain,
( e5 != op(e2,e4)
| ~ spl42_62
| spl42_192
| ~ spl42_259
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4026,f1597]) ).
fof(f4026,plain,
( op(e2,e4) != op(unit,e5)
| ~ spl42_62
| spl42_192
| ~ spl42_464 ),
inference(forward_demodulation,[],[f4025,f809]) ).
fof(f4025,plain,
( op(unit,e5) != op(op(unit,e2),e4)
| spl42_192
| ~ spl42_464 ),
inference(forward_demodulation,[],[f1330,f2600]) ).
fof(f1330,plain,
( op(op(unit,e2),e4) != op(unit,op(e2,e4))
| spl42_192 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1328,plain,
( spl42_192
<=> op(op(unit,e2),e4) = op(unit,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_192])]) ).
fof(f4021,plain,
( spl42_191
| ~ spl42_433
| ~ spl42_459
| ~ spl42_477
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4020]) ).
fof(f4020,plain,
( $false
| spl42_191
| ~ spl42_433
| ~ spl42_459
| ~ spl42_477
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4019,f2441]) ).
fof(f4019,plain,
( e5 != op(e3,e1)
| spl42_191
| ~ spl42_459
| ~ spl42_477
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4018,f2574]) ).
fof(f4018,plain,
( op(e3,e1) != op(e4,e2)
| spl42_191
| ~ spl42_477
| ~ spl42_529 ),
inference(forward_demodulation,[],[f4017,f2936]) ).
fof(f4017,plain,
( op(e4,e2) != op(op(e4,e4),e1)
| spl42_191
| ~ spl42_477 ),
inference(forward_demodulation,[],[f1326,f2668]) ).
fof(f1326,plain,
( op(op(e4,e4),e1) != op(e4,op(e4,e1))
| spl42_191 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1324,plain,
( spl42_191
<=> op(op(e4,e4),e1) = op(e4,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_191])]) ).
fof(f4013,plain,
( spl42_190
| ~ spl42_372
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f4012]) ).
fof(f4012,plain,
( $false
| spl42_190
| ~ spl42_372
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f4011,f2620]) ).
fof(f4011,plain,
( op(e1,e1) != unit
| spl42_190
| ~ spl42_372 ),
inference(forward_demodulation,[],[f1322,f2128]) ).
fof(f2128,plain,
( e1 = inv(e1)
| ~ spl42_372 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2127,plain,
( spl42_372
<=> e1 = inv(e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_372])]) ).
fof(f1322,plain,
( unit != op(e1,inv(e1))
| spl42_190 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl42_190
<=> unit = op(e1,inv(e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).
fof(f4007,plain,
( ~ spl42_6
| spl42_189
| ~ spl42_305
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f4006]) ).
fof(f4006,plain,
( $false
| ~ spl42_6
| spl42_189
| ~ spl42_305
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f4005,f576]) ).
fof(f4005,plain,
( e4 != op(e4,unit)
| spl42_189
| ~ spl42_305
| ~ spl42_539 ),
inference(forward_demodulation,[],[f4004,f2987]) ).
fof(f4004,plain,
( op(e3,e5) != op(op(e3,e5),unit)
| spl42_189
| ~ spl42_305 ),
inference(forward_demodulation,[],[f1318,f1781]) ).
fof(f1318,plain,
( op(op(e3,e5),unit) != op(e3,op(e5,unit))
| spl42_189 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1316,plain,
( spl42_189
<=> op(op(e3,e5),unit) = op(e3,op(e5,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).
fof(f4003,plain,
( ~ spl42_6
| ~ spl42_172
| spl42_188
| ~ spl42_353 ),
inference(avatar_contradiction_clause,[],[f4002]) ).
fof(f4002,plain,
( $false
| ~ spl42_6
| ~ spl42_172
| spl42_188
| ~ spl42_353 ),
inference(subsumption_resolution,[],[f4001,f2029]) ).
fof(f4001,plain,
( e4 != op(e1,e2)
| ~ spl42_6
| ~ spl42_172
| spl42_188
| ~ spl42_353 ),
inference(forward_demodulation,[],[f4000,f576]) ).
fof(f4000,plain,
( op(e1,e2) != op(e4,unit)
| ~ spl42_172
| spl42_188
| ~ spl42_353 ),
inference(forward_demodulation,[],[f3999,f1249]) ).
fof(f3999,plain,
( op(e4,unit) != op(e1,op(e2,unit))
| spl42_188
| ~ spl42_353 ),
inference(forward_demodulation,[],[f1314,f2029]) ).
fof(f1314,plain,
( op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| spl42_188 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1312,plain,
( spl42_188
<=> op(e1,op(e2,unit)) = op(op(e1,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).
fof(f3995,plain,
( ~ spl42_62
| spl42_187
| ~ spl42_259
| ~ spl42_355 ),
inference(avatar_contradiction_clause,[],[f3994]) ).
fof(f3994,plain,
( $false
| ~ spl42_62
| spl42_187
| ~ spl42_259
| ~ spl42_355 ),
inference(subsumption_resolution,[],[f3993,f2040]) ).
fof(f3993,plain,
( e2 != op(e5,e5)
| ~ spl42_62
| spl42_187
| ~ spl42_259
| ~ spl42_355 ),
inference(forward_demodulation,[],[f3992,f809]) ).
fof(f3992,plain,
( op(e5,e5) != op(unit,e2)
| spl42_187
| ~ spl42_259
| ~ spl42_355 ),
inference(forward_demodulation,[],[f3991,f1597]) ).
fof(f3991,plain,
( op(unit,e2) != op(op(unit,e5),e5)
| spl42_187
| ~ spl42_355 ),
inference(forward_demodulation,[],[f1310,f2040]) ).
fof(f1310,plain,
( op(op(unit,e5),e5) != op(unit,op(e5,e5))
| spl42_187 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1308,plain,
( spl42_187
<=> op(op(unit,e5),e5) = op(unit,op(e5,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).
fof(f3984,plain,
( ~ spl42_16
| ~ spl42_62
| ~ spl42_172
| spl42_186
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3983]) ).
fof(f3983,plain,
( $false
| ~ spl42_16
| ~ spl42_62
| ~ spl42_172
| spl42_186
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3982,f809]) ).
fof(f3982,plain,
( e2 != op(unit,e2)
| ~ spl42_16
| ~ spl42_172
| spl42_186
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3981,f2868]) ).
fof(f3981,plain,
( e2 != op(op(e2,e3),e2)
| ~ spl42_16
| ~ spl42_172
| spl42_186 ),
inference(forward_demodulation,[],[f3980,f1249]) ).
fof(f3980,plain,
( op(op(e2,e3),e2) != op(e2,unit)
| ~ spl42_16
| spl42_186 ),
inference(forward_demodulation,[],[f1306,f622]) ).
fof(f1306,plain,
( op(op(e2,e3),e2) != op(e2,op(e3,e2))
| spl42_186 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1304,plain,
( spl42_186
<=> op(op(e2,e3),e2) = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_186])]) ).
fof(f3978,plain,
( ~ spl42_111
| ~ spl42_172
| spl42_185
| ~ spl42_312 ),
inference(avatar_contradiction_clause,[],[f3977]) ).
fof(f3977,plain,
( $false
| ~ spl42_111
| ~ spl42_172
| spl42_185
| ~ spl42_312 ),
inference(subsumption_resolution,[],[f3976,f1814]) ).
fof(f3976,plain,
( e1 != op(e5,e2)
| ~ spl42_111
| ~ spl42_172
| spl42_185
| ~ spl42_312 ),
inference(forward_demodulation,[],[f3975,f1005]) ).
fof(f3975,plain,
( op(e5,e2) != op(e1,unit)
| ~ spl42_172
| spl42_185
| ~ spl42_312 ),
inference(forward_demodulation,[],[f3974,f1249]) ).
fof(f3974,plain,
( op(e1,unit) != op(e5,op(e2,unit))
| spl42_185
| ~ spl42_312 ),
inference(forward_demodulation,[],[f1302,f1814]) ).
fof(f1302,plain,
( op(e5,op(e2,unit)) != op(op(e5,e2),unit)
| spl42_185 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1300,plain,
( spl42_185
<=> op(e5,op(e2,unit)) = op(op(e5,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).
fof(f3973,plain,
( ~ spl42_6
| ~ spl42_70
| spl42_184 ),
inference(avatar_contradiction_clause,[],[f3972]) ).
fof(f3972,plain,
( $false
| ~ spl42_6
| ~ spl42_70
| spl42_184 ),
inference(trivial_inequality_removal,[],[f3971]) ).
fof(f3971,plain,
( op(e4,e4) != op(e4,e4)
| ~ spl42_6
| ~ spl42_70
| spl42_184 ),
inference(forward_demodulation,[],[f3970,f841]) ).
fof(f3970,plain,
( op(e4,e4) != op(e4,op(unit,e4))
| ~ spl42_6
| spl42_184 ),
inference(forward_demodulation,[],[f1298,f576]) ).
fof(f1298,plain,
( op(e4,op(unit,e4)) != op(op(e4,unit),e4)
| spl42_184 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1296,plain,
( spl42_184
<=> op(e4,op(unit,e4)) = op(op(e4,unit),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).
fof(f3966,plain,
( ~ spl42_14
| spl42_182
| ~ spl42_314 ),
inference(avatar_contradiction_clause,[],[f3965]) ).
fof(f3965,plain,
( $false
| ~ spl42_14
| spl42_182
| ~ spl42_314 ),
inference(subsumption_resolution,[],[f3964,f613]) ).
fof(f3964,plain,
( e3 != op(e1,e5)
| spl42_182
| ~ spl42_314 ),
inference(forward_demodulation,[],[f1290,f1824]) ).
fof(f1290,plain,
( op(e1,e5) != op(e5,e1)
| spl42_182 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1288,plain,
( spl42_182
<=> op(e1,e5) = op(e5,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_182])]) ).
fof(f3963,plain,
( spl42_181
| ~ spl42_312
| ~ spl42_355
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3962]) ).
fof(f3962,plain,
( $false
| spl42_181
| ~ spl42_312
| ~ spl42_355
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3961,f2899]) ).
fof(f3961,plain,
( e1 != op(e2,e5)
| spl42_181
| ~ spl42_312
| ~ spl42_355 ),
inference(forward_demodulation,[],[f3960,f1814]) ).
fof(f3960,plain,
( op(e2,e5) != op(e5,e2)
| spl42_181
| ~ spl42_355 ),
inference(forward_demodulation,[],[f1286,f2040]) ).
fof(f1286,plain,
( op(op(e5,e5),e5) != op(e5,op(e5,e5))
| spl42_181 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1284,plain,
( spl42_181
<=> op(op(e5,e5),e5) = op(e5,op(e5,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).
fof(f3956,plain,
( ~ spl42_172
| spl42_180
| ~ spl42_409
| ~ spl42_478
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3955]) ).
fof(f3955,plain,
( $false
| ~ spl42_172
| spl42_180
| ~ spl42_409
| ~ spl42_478
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3954,f2673]) ).
fof(f3954,plain,
( e2 != op(e1,e4)
| ~ spl42_172
| spl42_180
| ~ spl42_409
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3953,f2899]) ).
fof(f3953,plain,
( e2 != op(op(e2,e5),e4)
| ~ spl42_172
| spl42_180
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3952,f1249]) ).
fof(f3952,plain,
( op(op(e2,e5),e4) != op(e2,unit)
| spl42_180
| ~ spl42_409 ),
inference(forward_demodulation,[],[f1282,f2319]) ).
fof(f1282,plain,
( op(op(e2,e5),e4) != op(e2,op(e5,e4))
| spl42_180 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1280,plain,
( spl42_180
<=> op(op(e2,e5),e4) = op(e2,op(e5,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).
fof(f3947,plain,
( spl42_179
| ~ spl42_258
| ~ spl42_305
| ~ spl42_362 ),
inference(avatar_contradiction_clause,[],[f3946]) ).
fof(f3946,plain,
( $false
| spl42_179
| ~ spl42_258
| ~ spl42_305
| ~ spl42_362 ),
inference(subsumption_resolution,[],[f3945,f1781]) ).
fof(f3945,plain,
( e5 != op(e5,unit)
| spl42_179
| ~ spl42_258
| ~ spl42_362 ),
inference(forward_demodulation,[],[f3944,f2077]) ).
fof(f3944,plain,
( op(e1,e3) != op(op(e1,e3),unit)
| spl42_179
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1278,f1593]) ).
fof(f1278,plain,
( op(op(e1,e3),unit) != op(e1,op(e3,unit))
| spl42_179 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1276,plain,
( spl42_179
<=> op(op(e1,e3),unit) = op(e1,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).
fof(f3942,plain,
( ~ spl42_111
| spl42_178
| ~ spl42_258
| ~ spl42_378 ),
inference(avatar_contradiction_clause,[],[f3941]) ).
fof(f3941,plain,
( $false
| ~ spl42_111
| spl42_178
| ~ spl42_258
| ~ spl42_378 ),
inference(subsumption_resolution,[],[f3940,f1005]) ).
fof(f3940,plain,
( e1 != op(e1,unit)
| spl42_178
| ~ spl42_258
| ~ spl42_378 ),
inference(forward_demodulation,[],[f3939,f2158]) ).
fof(f3939,plain,
( op(e4,e3) != op(op(e4,e3),unit)
| spl42_178
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1274,f1593]) ).
fof(f1274,plain,
( op(op(e4,e3),unit) != op(e4,op(e3,unit))
| spl42_178 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1272,plain,
( spl42_178
<=> op(op(e4,e3),unit) = op(e4,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f3938,plain,
( spl42_176
| ~ spl42_459
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f3937]) ).
fof(f3937,plain,
( $false
| spl42_176
| ~ spl42_459
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f3936,f2600]) ).
fof(f3936,plain,
( e5 != op(e2,e4)
| spl42_176
| ~ spl42_459 ),
inference(forward_demodulation,[],[f1266,f2574]) ).
fof(f1266,plain,
( op(e2,e4) != op(e4,e2)
| spl42_176 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1264,plain,
( spl42_176
<=> op(e2,e4) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).
fof(f3932,plain,
( spl42_175
| ~ spl42_312
| ~ spl42_314
| ~ spl42_478
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3931,plain,
( $false
| spl42_175
| ~ spl42_312
| ~ spl42_314
| ~ spl42_478
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3930,f2883]) ).
fof(f3930,plain,
( e1 != op(e3,e4)
| spl42_175
| ~ spl42_312
| ~ spl42_314
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3929,f1814]) ).
fof(f3929,plain,
( op(e3,e4) != op(e5,e2)
| spl42_175
| ~ spl42_314
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3928,f1824]) ).
fof(f3928,plain,
( op(e5,e2) != op(op(e5,e1),e4)
| spl42_175
| ~ spl42_478 ),
inference(forward_demodulation,[],[f1262,f2673]) ).
fof(f1262,plain,
( op(op(e5,e1),e4) != op(e5,op(e1,e4))
| spl42_175 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1260,plain,
( spl42_175
<=> op(op(e5,e1),e4) = op(e5,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).
fof(f3926,plain,
( spl42_174
| ~ spl42_409
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f3925]) ).
fof(f3925,plain,
( $false
| spl42_174
| ~ spl42_409
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f3924,f2446]) ).
fof(f3924,plain,
( op(e4,e5) != unit
| spl42_174
| ~ spl42_409 ),
inference(forward_demodulation,[],[f1258,f2319]) ).
fof(f1258,plain,
( op(e4,e5) != op(e5,e4)
| spl42_174 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1256,plain,
( spl42_174
<=> op(e4,e5) = op(e5,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).
fof(f3920,plain,
( spl42_173
| ~ spl42_409
| ~ spl42_464
| ~ spl42_516
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3919]) ).
fof(f3919,plain,
( $false
| spl42_173
| ~ spl42_409
| ~ spl42_464
| ~ spl42_516
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3918,f2868]) ).
fof(f3918,plain,
( op(e2,e3) != unit
| spl42_173
| ~ spl42_409
| ~ spl42_464
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3917,f2319]) ).
fof(f3917,plain,
( op(e2,e3) != op(e5,e4)
| spl42_173
| ~ spl42_464
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3916,f2600]) ).
fof(f3916,plain,
( op(e2,e3) != op(op(e2,e4),e4)
| spl42_173
| ~ spl42_529 ),
inference(forward_demodulation,[],[f1254,f2936]) ).
fof(f1254,plain,
( op(op(e2,e4),e4) != op(e2,op(e4,e4))
| spl42_173 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1252,plain,
( spl42_173
<=> op(op(e2,e4),e4) = op(e2,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_173])]) ).
fof(f3912,plain,
( spl42_171
| ~ spl42_314
| ~ spl42_477
| ~ spl42_520
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3911]) ).
fof(f3911,plain,
( $false
| spl42_171
| ~ spl42_314
| ~ spl42_477
| ~ spl42_520
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3910,f2888]) ).
fof(f3910,plain,
( e2 != op(e3,e3)
| spl42_171
| ~ spl42_314
| ~ spl42_477
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3909,f2668]) ).
fof(f3909,plain,
( op(e3,e3) != op(e4,e1)
| spl42_171
| ~ spl42_314
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3908,f2987]) ).
fof(f3908,plain,
( op(e3,e3) != op(op(e3,e5),e1)
| spl42_171
| ~ spl42_314 ),
inference(forward_demodulation,[],[f1246,f1824]) ).
fof(f1246,plain,
( op(op(e3,e5),e1) != op(e3,op(e5,e1))
| spl42_171 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1244,plain,
( spl42_171
<=> op(op(e3,e5),e1) = op(e3,op(e5,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).
fof(f3902,plain,
( ~ spl42_6
| ~ spl42_70
| spl42_170
| ~ spl42_409
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f3901]) ).
fof(f3901,plain,
( $false
| ~ spl42_6
| ~ spl42_70
| spl42_170
| ~ spl42_409
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f3900,f841]) ).
fof(f3900,plain,
( e4 != op(unit,e4)
| ~ spl42_6
| spl42_170
| ~ spl42_409
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3899,f2446]) ).
fof(f3899,plain,
( e4 != op(op(e4,e5),e4)
| ~ spl42_6
| spl42_170
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3898,f576]) ).
fof(f3898,plain,
( op(op(e4,e5),e4) != op(e4,unit)
| spl42_170
| ~ spl42_409 ),
inference(forward_demodulation,[],[f1242,f2319]) ).
fof(f1242,plain,
( op(op(e4,e5),e4) != op(e4,op(e5,e4))
| spl42_170 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1240,plain,
( spl42_170
<=> op(op(e4,e5),e4) = op(e4,op(e5,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).
fof(f3897,plain,
( spl42_169
| ~ spl42_198
| ~ spl42_258
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3896]) ).
fof(f3896,plain,
( $false
| spl42_169
| ~ spl42_198
| ~ spl42_258
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3895,f1353]) ).
fof(f3895,plain,
( unit != op(unit,unit)
| spl42_169
| ~ spl42_258
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3894,f2868]) ).
fof(f3894,plain,
( op(e2,e3) != op(op(e2,e3),unit)
| spl42_169
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1238,f1593]) ).
fof(f1238,plain,
( op(op(e2,e3),unit) != op(e2,op(e3,unit))
| spl42_169 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl42_169
<=> op(op(e2,e3),unit) = op(e2,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_169])]) ).
fof(f3888,plain,
( ~ spl42_16
| spl42_168
| ~ spl42_516
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3887]) ).
fof(f3887,plain,
( $false
| ~ spl42_16
| spl42_168
| ~ spl42_516
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3886,f2868]) ).
fof(f3886,plain,
( op(e2,e3) != unit
| ~ spl42_16
| spl42_168
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3885,f622]) ).
fof(f3885,plain,
( op(e2,e3) != op(e3,e2)
| spl42_168
| ~ spl42_520 ),
inference(forward_demodulation,[],[f1234,f2888]) ).
fof(f1234,plain,
( op(op(e3,e3),e3) != op(e3,op(e3,e3))
| spl42_168 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1232,plain,
( spl42_168
<=> op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).
fof(f3881,plain,
( spl42_167
| ~ spl42_355
| ~ spl42_459
| ~ spl42_477
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3880]) ).
fof(f3880,plain,
( $false
| spl42_167
| ~ spl42_355
| ~ spl42_459
| ~ spl42_477
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3879,f2668]) ).
fof(f3879,plain,
( e2 != op(e4,e1)
| spl42_167
| ~ spl42_355
| ~ spl42_459
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3878,f2040]) ).
fof(f3878,plain,
( op(e4,e1) != op(e5,e5)
| spl42_167
| ~ spl42_459
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3877,f2574]) ).
fof(f3877,plain,
( op(e4,e1) != op(op(e4,e2),e5)
| spl42_167
| ~ spl42_522 ),
inference(forward_demodulation,[],[f1230,f2899]) ).
fof(f1230,plain,
( op(op(e4,e2),e5) != op(e4,op(e2,e5))
| spl42_167 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1228,plain,
( spl42_167
<=> op(op(e4,e2),e5) = op(e4,op(e2,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).
fof(f3876,plain,
( spl42_166
| ~ spl42_353
| ~ spl42_422
| ~ spl42_477
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3875]) ).
fof(f3875,plain,
( $false
| spl42_166
| ~ spl42_353
| ~ spl42_422
| ~ spl42_477
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3874,f2385]) ).
fof(f3874,plain,
( e3 != op(e2,e2)
| spl42_166
| ~ spl42_353
| ~ spl42_477
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3873,f2936]) ).
fof(f3873,plain,
( op(e2,e2) != op(e4,e4)
| spl42_166
| ~ spl42_353
| ~ spl42_477 ),
inference(forward_demodulation,[],[f3872,f2668]) ).
fof(f3872,plain,
( op(e4,e4) != op(op(e4,e1),e2)
| spl42_166
| ~ spl42_353 ),
inference(forward_demodulation,[],[f1226,f2029]) ).
fof(f1226,plain,
( op(op(e4,e1),e2) != op(e4,op(e1,e2))
| spl42_166 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1224,plain,
( spl42_166
<=> op(op(e4,e1),e2) = op(e4,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_166])]) ).
fof(f3870,plain,
( spl42_165
| ~ spl42_259
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f3869]) ).
fof(f3869,plain,
( $false
| spl42_165
| ~ spl42_259
| ~ spl42_305 ),
inference(subsumption_resolution,[],[f3868,f1597]) ).
fof(f3868,plain,
( e5 != op(unit,e5)
| spl42_165
| ~ spl42_305 ),
inference(forward_demodulation,[],[f1222,f1781]) ).
fof(f1222,plain,
( op(unit,e5) != op(e5,unit)
| spl42_165 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1220,plain,
( spl42_165
<=> op(unit,e5) = op(e5,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_165])]) ).
fof(f3861,plain,
( ~ spl42_14
| spl42_164
| ~ spl42_355
| ~ spl42_422
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3860]) ).
fof(f3860,plain,
( $false
| ~ spl42_14
| spl42_164
| ~ spl42_355
| ~ spl42_422
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3859,f613]) ).
fof(f3859,plain,
( e3 != op(e1,e5)
| spl42_164
| ~ spl42_355
| ~ spl42_422
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3858,f2385]) ).
fof(f3858,plain,
( op(e1,e5) != op(e2,e2)
| spl42_164
| ~ spl42_355
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3857,f2899]) ).
fof(f3857,plain,
( op(e2,e2) != op(op(e2,e5),e5)
| spl42_164
| ~ spl42_355 ),
inference(forward_demodulation,[],[f1218,f2040]) ).
fof(f1218,plain,
( op(op(e2,e5),e5) != op(e2,op(e5,e5))
| spl42_164 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1216,plain,
( spl42_164
<=> op(op(e2,e5),e5) = op(e2,op(e5,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).
fof(f3853,plain,
( ~ spl42_115
| spl42_163
| ~ spl42_422
| ~ spl42_516
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3852]) ).
fof(f3852,plain,
( $false
| ~ spl42_115
| spl42_163
| ~ spl42_422
| ~ spl42_516
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3851,f2385]) ).
fof(f3851,plain,
( e3 != op(e2,e2)
| ~ spl42_115
| spl42_163
| ~ spl42_516
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3850,f1021]) ).
fof(f3850,plain,
( op(e2,e2) != op(unit,e3)
| spl42_163
| ~ spl42_516
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3849,f2868]) ).
fof(f3849,plain,
( op(e2,e2) != op(op(e2,e3),e3)
| spl42_163
| ~ spl42_520 ),
inference(forward_demodulation,[],[f1214,f2888]) ).
fof(f1214,plain,
( op(op(e2,e3),e3) != op(e2,op(e3,e3))
| spl42_163 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1212,plain,
( spl42_163
<=> op(op(e2,e3),e3) = op(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).
fof(f3845,plain,
( spl42_162
| ~ spl42_258
| ~ spl42_314
| ~ spl42_433
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3844]) ).
fof(f3844,plain,
( $false
| spl42_162
| ~ spl42_258
| ~ spl42_314
| ~ spl42_433
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3843,f1824]) ).
fof(f3843,plain,
( e3 != op(e5,e1)
| spl42_162
| ~ spl42_258
| ~ spl42_433
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3842,f2441]) ).
fof(f3842,plain,
( e3 != op(op(e3,e1),e1)
| spl42_162
| ~ spl42_258
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3841,f1593]) ).
fof(f3841,plain,
( op(op(e3,e1),e1) != op(e3,unit)
| spl42_162
| ~ spl42_468 ),
inference(forward_demodulation,[],[f1210,f2620]) ).
fof(f1210,plain,
( op(op(e3,e1),e1) != op(e3,op(e1,e1))
| spl42_162 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f1208,plain,
( spl42_162
<=> op(op(e3,e1),e1) = op(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).
fof(f3840,plain,
( ~ spl42_14
| ~ spl42_111
| spl42_161
| ~ spl42_409
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3839]) ).
fof(f3839,plain,
( $false
| ~ spl42_14
| ~ spl42_111
| spl42_161
| ~ spl42_409
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3838,f2883]) ).
fof(f3838,plain,
( e1 != op(e3,e4)
| ~ spl42_14
| ~ spl42_111
| spl42_161
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3837,f613]) ).
fof(f3837,plain,
( e1 != op(op(e1,e5),e4)
| ~ spl42_111
| spl42_161
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3836,f1005]) ).
fof(f3836,plain,
( op(op(e1,e5),e4) != op(e1,unit)
| spl42_161
| ~ spl42_409 ),
inference(forward_demodulation,[],[f1206,f2319]) ).
fof(f1206,plain,
( op(op(e1,e5),e4) != op(e1,op(e5,e4))
| spl42_161 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1204,plain,
( spl42_161
<=> op(op(e1,e5),e4) = op(e1,op(e5,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).
fof(f3834,plain,
( spl42_160
| ~ spl42_312
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3833]) ).
fof(f3833,plain,
( $false
| spl42_160
| ~ spl42_312
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3832,f2899]) ).
fof(f3832,plain,
( e1 != op(e2,e5)
| spl42_160
| ~ spl42_312 ),
inference(forward_demodulation,[],[f1202,f1814]) ).
fof(f1202,plain,
( op(e2,e5) != op(e5,e2)
| spl42_160 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1200,plain,
( spl42_160
<=> op(e2,e5) = op(e5,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_160])]) ).
fof(f3827,plain,
( spl42_159
| ~ spl42_172
| ~ spl42_258
| ~ spl42_422 ),
inference(avatar_contradiction_clause,[],[f3826]) ).
fof(f3826,plain,
( $false
| spl42_159
| ~ spl42_172
| ~ spl42_258
| ~ spl42_422 ),
inference(subsumption_resolution,[],[f3825,f2385]) ).
fof(f3825,plain,
( e3 != op(e2,e2)
| spl42_159
| ~ spl42_172
| ~ spl42_258
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3824,f1593]) ).
fof(f3824,plain,
( op(e2,e2) != op(e3,unit)
| spl42_159
| ~ spl42_172
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3823,f1249]) ).
fof(f3823,plain,
( op(e3,unit) != op(e2,op(e2,unit))
| spl42_159
| ~ spl42_422 ),
inference(forward_demodulation,[],[f1198,f2385]) ).
fof(f1198,plain,
( op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| spl42_159 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1196,plain,
( spl42_159
<=> op(e2,op(e2,unit)) = op(op(e2,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).
fof(f3819,plain,
( spl42_157
| ~ spl42_198
| ~ spl42_484 ),
inference(avatar_contradiction_clause,[],[f3818]) ).
fof(f3818,plain,
( $false
| spl42_157
| ~ spl42_198
| ~ spl42_484 ),
inference(subsumption_resolution,[],[f3817,f1353]) ).
fof(f3817,plain,
( unit != op(unit,unit)
| spl42_157
| ~ spl42_484 ),
inference(forward_demodulation,[],[f1190,f2705]) ).
fof(f2705,plain,
( unit = inv(unit)
| ~ spl42_484 ),
inference(avatar_component_clause,[],[f2704]) ).
fof(f2704,plain,
( spl42_484
<=> unit = inv(unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_484])]) ).
fof(f1190,plain,
( unit != op(unit,inv(unit))
| spl42_157 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1188,plain,
( spl42_157
<=> unit = op(unit,inv(unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_157])]) ).
fof(f3816,plain,
( ~ spl42_70
| spl42_156
| ~ spl42_366
| ~ spl42_409
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3815]) ).
fof(f3815,plain,
( $false
| ~ spl42_70
| spl42_156
| ~ spl42_366
| ~ spl42_409
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3814,f2097]) ).
fof(f3814,plain,
( e4 != op(e5,e3)
| ~ spl42_70
| spl42_156
| ~ spl42_409
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3813,f841]) ).
fof(f3813,plain,
( op(e5,e3) != op(unit,e4)
| spl42_156
| ~ spl42_409
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3812,f2319]) ).
fof(f3812,plain,
( op(e5,e3) != op(op(e5,e4),e4)
| spl42_156
| ~ spl42_529 ),
inference(forward_demodulation,[],[f1186,f2936]) ).
fof(f1186,plain,
( op(op(e5,e4),e4) != op(e5,op(e4,e4))
| spl42_156 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1184,plain,
( spl42_156
<=> op(op(e5,e4),e4) = op(e5,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).
fof(f3806,plain,
( ~ spl42_6
| spl42_155
| ~ spl42_258
| ~ spl42_366 ),
inference(avatar_contradiction_clause,[],[f3805]) ).
fof(f3805,plain,
( $false
| ~ spl42_6
| spl42_155
| ~ spl42_258
| ~ spl42_366 ),
inference(subsumption_resolution,[],[f3804,f576]) ).
fof(f3804,plain,
( e4 != op(e4,unit)
| spl42_155
| ~ spl42_258
| ~ spl42_366 ),
inference(forward_demodulation,[],[f3803,f2097]) ).
fof(f3803,plain,
( op(e5,e3) != op(op(e5,e3),unit)
| spl42_155
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1182,f1593]) ).
fof(f1182,plain,
( op(op(e5,e3),unit) != op(e5,op(e3,unit))
| spl42_155 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1180,plain,
( spl42_155
<=> op(op(e5,e3),unit) = op(e5,op(e3,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).
fof(f3802,plain,
( ~ spl42_115
| spl42_154
| ~ spl42_259
| ~ spl42_433 ),
inference(avatar_contradiction_clause,[],[f3801]) ).
fof(f3801,plain,
( $false
| ~ spl42_115
| spl42_154
| ~ spl42_259
| ~ spl42_433 ),
inference(subsumption_resolution,[],[f3800,f2441]) ).
fof(f3800,plain,
( e5 != op(e3,e1)
| ~ spl42_115
| spl42_154
| ~ spl42_259
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3799,f1597]) ).
fof(f3799,plain,
( op(e3,e1) != op(unit,e5)
| ~ spl42_115
| spl42_154
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3798,f1021]) ).
fof(f3798,plain,
( op(unit,e5) != op(op(unit,e3),e1)
| spl42_154
| ~ spl42_433 ),
inference(forward_demodulation,[],[f1178,f2441]) ).
fof(f1178,plain,
( op(op(unit,e3),e1) != op(unit,op(e3,e1))
| spl42_154 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1176,plain,
( spl42_154
<=> op(op(unit,e3),e1) = op(unit,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).
fof(f3792,plain,
( spl42_153
| ~ spl42_366
| ~ spl42_409
| ~ spl42_434
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3791]) ).
fof(f3791,plain,
( $false
| spl42_153
| ~ spl42_366
| ~ spl42_409
| ~ spl42_434
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3790,f2446]) ).
fof(f3790,plain,
( op(e4,e5) != unit
| spl42_153
| ~ spl42_366
| ~ spl42_409
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3789,f2319]) ).
fof(f3789,plain,
( op(e4,e5) != op(e5,e4)
| spl42_153
| ~ spl42_366
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3788,f2097]) ).
fof(f3788,plain,
( op(e5,e4) != op(op(e5,e3),e5)
| spl42_153
| ~ spl42_539 ),
inference(forward_demodulation,[],[f1174,f2987]) ).
fof(f1174,plain,
( op(op(e5,e3),e5) != op(e5,op(e3,e5))
| spl42_153 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1172,plain,
( spl42_153
<=> op(op(e5,e3),e5) = op(e5,op(e3,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).
fof(f3787,plain,
( ~ spl42_111
| spl42_152
| ~ spl42_172
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f3786]) ).
fof(f3786,plain,
( $false
| ~ spl42_111
| spl42_152
| ~ spl42_172
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f3785,f1249]) ).
fof(f3785,plain,
( e2 != op(e2,unit)
| ~ spl42_111
| spl42_152
| ~ spl42_477 ),
inference(forward_demodulation,[],[f3784,f2668]) ).
fof(f3784,plain,
( op(e4,e1) != op(op(e4,e1),unit)
| ~ spl42_111
| spl42_152 ),
inference(forward_demodulation,[],[f1170,f1005]) ).
fof(f1170,plain,
( op(op(e4,e1),unit) != op(e4,op(e1,unit))
| spl42_152 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1168,plain,
( spl42_152
<=> op(op(e4,e1),unit) = op(e4,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_152])]) ).
fof(f3780,plain,
( spl42_151
| ~ spl42_355
| ~ spl42_366
| ~ spl42_433
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f3779]) ).
fof(f3779,plain,
( $false
| spl42_151
| ~ spl42_355
| ~ spl42_366
| ~ spl42_433
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f3778,f2668]) ).
fof(f3778,plain,
( e2 != op(e4,e1)
| spl42_151
| ~ spl42_355
| ~ spl42_366
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3777,f2040]) ).
fof(f3777,plain,
( op(e4,e1) != op(e5,e5)
| spl42_151
| ~ spl42_366
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3776,f2097]) ).
fof(f3776,plain,
( op(e5,e5) != op(op(e5,e3),e1)
| spl42_151
| ~ spl42_433 ),
inference(forward_demodulation,[],[f1166,f2441]) ).
fof(f1166,plain,
( op(op(e5,e3),e1) != op(e5,op(e3,e1))
| spl42_151 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1164,plain,
( spl42_151
<=> op(op(e5,e3),e1) = op(e5,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_151])]) ).
fof(f3771,plain,
( ~ spl42_14
| ~ spl42_16
| spl42_150
| ~ spl42_312
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3770]) ).
fof(f3770,plain,
( $false
| ~ spl42_14
| ~ spl42_16
| spl42_150
| ~ spl42_312
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3769,f2620]) ).
fof(f3769,plain,
( op(e1,e1) != unit
| ~ spl42_14
| ~ spl42_16
| spl42_150
| ~ spl42_312 ),
inference(forward_demodulation,[],[f3768,f622]) ).
fof(f3768,plain,
( op(e1,e1) != op(e3,e2)
| ~ spl42_14
| spl42_150
| ~ spl42_312 ),
inference(forward_demodulation,[],[f3767,f613]) ).
fof(f3767,plain,
( op(e1,e1) != op(op(e1,e5),e2)
| spl42_150
| ~ spl42_312 ),
inference(forward_demodulation,[],[f1162,f1814]) ).
fof(f1162,plain,
( op(op(e1,e5),e2) != op(e1,op(e5,e2))
| spl42_150 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1160,plain,
( spl42_150
<=> op(op(e1,e5),e2) = op(e1,op(e5,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).
fof(f3763,plain,
( ~ spl42_115
| spl42_149
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f3762]) ).
fof(f3762,plain,
( $false
| ~ spl42_115
| spl42_149
| ~ spl42_258 ),
inference(trivial_inequality_removal,[],[f3761]) ).
fof(f3761,plain,
( op(e3,e3) != op(e3,e3)
| ~ spl42_115
| spl42_149
| ~ spl42_258 ),
inference(forward_demodulation,[],[f3760,f1021]) ).
fof(f3760,plain,
( op(e3,e3) != op(e3,op(unit,e3))
| spl42_149
| ~ spl42_258 ),
inference(forward_demodulation,[],[f1158,f1593]) ).
fof(f1158,plain,
( op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| spl42_149 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1156,plain,
( spl42_149
<=> op(e3,op(unit,e3)) = op(op(e3,unit),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).
fof(f3759,plain,
( ~ spl42_70
| spl42_148
| ~ spl42_373
| ~ spl42_516
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3758]) ).
fof(f3758,plain,
( $false
| ~ spl42_70
| spl42_148
| ~ spl42_373
| ~ spl42_516
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3757,f2133]) ).
fof(f3757,plain,
( e4 != op(e2,e1)
| ~ spl42_70
| spl42_148
| ~ spl42_516
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3756,f841]) ).
fof(f3756,plain,
( op(e2,e1) != op(unit,e4)
| spl42_148
| ~ spl42_516
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3755,f2868]) ).
fof(f3755,plain,
( op(e2,e1) != op(op(e2,e3),e4)
| spl42_148
| ~ spl42_519 ),
inference(forward_demodulation,[],[f1154,f2883]) ).
fof(f1154,plain,
( op(op(e2,e3),e4) != op(e2,op(e3,e4))
| spl42_148 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1152,plain,
( spl42_148
<=> op(op(e2,e3),e4) = op(e2,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_148])]) ).
fof(f3750,plain,
( spl42_147
| ~ spl42_198
| ~ spl42_484 ),
inference(avatar_contradiction_clause,[],[f3749]) ).
fof(f3749,plain,
( $false
| spl42_147
| ~ spl42_198
| ~ spl42_484 ),
inference(subsumption_resolution,[],[f3748,f1353]) ).
fof(f3748,plain,
( unit != op(unit,unit)
| spl42_147
| ~ spl42_484 ),
inference(forward_demodulation,[],[f1150,f2705]) ).
fof(f1150,plain,
( unit != op(inv(unit),unit)
| spl42_147 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1148,plain,
( spl42_147
<=> unit = op(inv(unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).
fof(f3747,plain,
( ~ spl42_14
| spl42_146
| ~ spl42_373
| ~ spl42_434
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3746]) ).
fof(f3746,plain,
( $false
| ~ spl42_14
| spl42_146
| ~ spl42_373
| ~ spl42_434
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3745,f2868]) ).
fof(f3745,plain,
( op(e2,e3) != unit
| ~ spl42_14
| spl42_146
| ~ spl42_373
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3744,f2446]) ).
fof(f3744,plain,
( op(e2,e3) != op(e4,e5)
| ~ spl42_14
| spl42_146
| ~ spl42_373 ),
inference(forward_demodulation,[],[f3743,f2133]) ).
fof(f3743,plain,
( op(e2,e3) != op(op(e2,e1),e5)
| ~ spl42_14
| spl42_146 ),
inference(forward_demodulation,[],[f1146,f613]) ).
fof(f1146,plain,
( op(op(e2,e1),e5) != op(e2,op(e1,e5))
| spl42_146 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1144,plain,
( spl42_146
<=> op(op(e2,e1),e5) = op(e2,op(e1,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).
fof(f3740,plain,
( ~ spl42_62
| spl42_145
| ~ spl42_172 ),
inference(avatar_contradiction_clause,[],[f3739]) ).
fof(f3739,plain,
( $false
| ~ spl42_62
| spl42_145
| ~ spl42_172 ),
inference(subsumption_resolution,[],[f3738,f1249]) ).
fof(f3738,plain,
( e2 != op(e2,unit)
| ~ spl42_62
| spl42_145
| ~ spl42_172 ),
inference(forward_demodulation,[],[f3737,f809]) ).
fof(f3737,plain,
( op(unit,e2) != op(op(unit,e2),unit)
| spl42_145
| ~ spl42_172 ),
inference(forward_demodulation,[],[f1142,f1249]) ).
fof(f1142,plain,
( op(op(unit,e2),unit) != op(unit,op(e2,unit))
| spl42_145 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1140,plain,
( spl42_145
<=> op(op(unit,e2),unit) = op(unit,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).
fof(f3733,plain,
( ~ spl42_62
| spl42_144
| ~ spl42_183
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3732]) ).
fof(f3732,plain,
( $false
| ~ spl42_62
| spl42_144
| ~ spl42_183
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3731,f2673]) ).
fof(f3731,plain,
( e2 != op(e1,e4)
| ~ spl42_62
| spl42_144
| ~ spl42_183
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3730,f809]) ).
fof(f3730,plain,
( op(e1,e4) != op(unit,e2)
| spl42_144
| ~ spl42_183
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3729,f1293]) ).
fof(f3729,plain,
( op(unit,e2) != op(op(unit,e1),e4)
| spl42_144
| ~ spl42_478 ),
inference(forward_demodulation,[],[f1138,f2673]) ).
fof(f1138,plain,
( op(op(unit,e1),e4) != op(unit,op(e1,e4))
| spl42_144 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1136,plain,
( spl42_144
<=> op(op(unit,e1),e4) = op(unit,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).
fof(f3722,plain,
( ~ spl42_70
| spl42_142
| ~ spl42_353
| ~ spl42_468
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3721]) ).
fof(f3721,plain,
( $false
| ~ spl42_70
| spl42_142
| ~ spl42_353
| ~ spl42_468
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3720,f2029]) ).
fof(f3720,plain,
( e4 != op(e1,e2)
| ~ spl42_70
| spl42_142
| ~ spl42_468
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3719,f841]) ).
fof(f3719,plain,
( op(e1,e2) != op(unit,e4)
| spl42_142
| ~ spl42_468
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3718,f2620]) ).
fof(f3718,plain,
( op(e1,e2) != op(op(e1,e1),e4)
| spl42_142
| ~ spl42_478 ),
inference(forward_demodulation,[],[f1130,f2673]) ).
fof(f1130,plain,
( op(op(e1,e1),e4) != op(e1,op(e1,e4))
| spl42_142 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1128,plain,
( spl42_142
<=> op(op(e1,e1),e4) = op(e1,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).
fof(f3717,plain,
( ~ spl42_14
| spl42_141
| ~ spl42_314
| ~ spl42_362
| ~ spl42_433 ),
inference(avatar_contradiction_clause,[],[f3716]) ).
fof(f3716,plain,
( $false
| ~ spl42_14
| spl42_141
| ~ spl42_314
| ~ spl42_362
| ~ spl42_433 ),
inference(subsumption_resolution,[],[f3715,f2077]) ).
fof(f3715,plain,
( e5 != op(e1,e3)
| ~ spl42_14
| spl42_141
| ~ spl42_314
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3714,f2441]) ).
fof(f3714,plain,
( op(e1,e3) != op(e3,e1)
| ~ spl42_14
| spl42_141
| ~ spl42_314 ),
inference(forward_demodulation,[],[f3713,f613]) ).
fof(f3713,plain,
( op(e1,e3) != op(op(e1,e5),e1)
| spl42_141
| ~ spl42_314 ),
inference(forward_demodulation,[],[f1126,f1824]) ).
fof(f1126,plain,
( op(op(e1,e5),e1) != op(e1,op(e5,e1))
| spl42_141 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1124,plain,
( spl42_141
<=> op(op(e1,e5),e1) = op(e1,op(e5,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).
fof(f3707,plain,
( spl42_140
| ~ spl42_312
| ~ spl42_355
| ~ spl42_464
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3706]) ).
fof(f3706,plain,
( $false
| spl42_140
| ~ spl42_312
| ~ spl42_355
| ~ spl42_464
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3705,f2673]) ).
fof(f3705,plain,
( e2 != op(e1,e4)
| spl42_140
| ~ spl42_312
| ~ spl42_355
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3704,f2040]) ).
fof(f3704,plain,
( op(e1,e4) != op(e5,e5)
| spl42_140
| ~ spl42_312
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3703,f1814]) ).
fof(f3703,plain,
( op(e5,e5) != op(op(e5,e2),e4)
| spl42_140
| ~ spl42_464 ),
inference(forward_demodulation,[],[f1122,f2600]) ).
fof(f1122,plain,
( op(op(e5,e2),e4) != op(e5,op(e2,e4))
| spl42_140 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl42_140
<=> op(op(e5,e2),e4) = op(e5,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_140])]) ).
fof(f3701,plain,
( ~ spl42_115
| spl42_139
| ~ spl42_183
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3700]) ).
fof(f3700,plain,
( $false
| ~ spl42_115
| spl42_139
| ~ spl42_183
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3699,f1293]) ).
fof(f3699,plain,
( e1 != op(unit,e1)
| ~ spl42_115
| spl42_139
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3698,f2883]) ).
fof(f3698,plain,
( op(e3,e4) != op(unit,op(e3,e4))
| ~ spl42_115
| spl42_139 ),
inference(forward_demodulation,[],[f1118,f1021]) ).
fof(f1118,plain,
( op(unit,op(e3,e4)) != op(op(unit,e3),e4)
| spl42_139 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1116,plain,
( spl42_139
<=> op(unit,op(e3,e4)) = op(op(unit,e3),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).
fof(f3694,plain,
( spl42_138
| ~ spl42_372
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3693]) ).
fof(f3693,plain,
( $false
| spl42_138
| ~ spl42_372
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3692,f2620]) ).
fof(f3692,plain,
( op(e1,e1) != unit
| spl42_138
| ~ spl42_372 ),
inference(forward_demodulation,[],[f1114,f2128]) ).
fof(f1114,plain,
( unit != op(inv(e1),e1)
| spl42_138 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1112,plain,
( spl42_138
<=> unit = op(inv(e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_138])]) ).
fof(f3689,plain,
( spl42_137
| ~ spl42_314
| ~ spl42_422
| ~ spl42_464
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f3688]) ).
fof(f3688,plain,
( $false
| spl42_137
| ~ spl42_314
| ~ spl42_422
| ~ spl42_464
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f3687,f2385]) ).
fof(f3687,plain,
( e3 != op(e2,e2)
| spl42_137
| ~ spl42_314
| ~ spl42_464
| ~ spl42_477 ),
inference(forward_demodulation,[],[f3686,f1824]) ).
fof(f3686,plain,
( op(e2,e2) != op(e5,e1)
| spl42_137
| ~ spl42_464
| ~ spl42_477 ),
inference(forward_demodulation,[],[f3685,f2600]) ).
fof(f3685,plain,
( op(e2,e2) != op(op(e2,e4),e1)
| spl42_137
| ~ spl42_477 ),
inference(forward_demodulation,[],[f1110,f2668]) ).
fof(f1110,plain,
( op(op(e2,e4),e1) != op(e2,op(e4,e1))
| spl42_137 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1108,plain,
( spl42_137
<=> op(op(e2,e4),e1) = op(e2,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_137])]) ).
fof(f3683,plain,
( ~ spl42_111
| spl42_136
| ~ spl42_183
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3682,plain,
( $false
| ~ spl42_111
| spl42_136
| ~ spl42_183
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3681,f1293]) ).
fof(f3681,plain,
( e1 != op(unit,e1)
| ~ spl42_111
| spl42_136
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3680,f1005]) ).
fof(f3680,plain,
( op(unit,e1) != op(e1,unit)
| spl42_136
| ~ spl42_468 ),
inference(forward_demodulation,[],[f1106,f2620]) ).
fof(f1106,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| spl42_136 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1104,plain,
( spl42_136
<=> op(op(e1,e1),e1) = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_136])]) ).
fof(f3676,plain,
( spl42_135
| ~ spl42_362
| ~ spl42_433 ),
inference(avatar_contradiction_clause,[],[f3675]) ).
fof(f3675,plain,
( $false
| spl42_135
| ~ spl42_362
| ~ spl42_433 ),
inference(subsumption_resolution,[],[f3674,f2077]) ).
fof(f3674,plain,
( e5 != op(e1,e3)
| spl42_135
| ~ spl42_433 ),
inference(forward_demodulation,[],[f1102,f2441]) ).
fof(f1102,plain,
( op(e1,e3) != op(e3,e1)
| spl42_135 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1100,plain,
( spl42_135
<=> op(e1,e3) = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_135])]) ).
fof(f3673,plain,
( spl42_134
| ~ spl42_373
| ~ spl42_433
| ~ spl42_520
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3672]) ).
fof(f3672,plain,
( $false
| spl42_134
| ~ spl42_373
| ~ spl42_433
| ~ spl42_520
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3671,f2133]) ).
fof(f3671,plain,
( e4 != op(e2,e1)
| spl42_134
| ~ spl42_433
| ~ spl42_520
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3670,f2987]) ).
fof(f3670,plain,
( op(e2,e1) != op(e3,e5)
| spl42_134
| ~ spl42_433
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3669,f2888]) ).
fof(f3669,plain,
( op(e3,e5) != op(op(e3,e3),e1)
| spl42_134
| ~ spl42_433 ),
inference(forward_demodulation,[],[f1098,f2441]) ).
fof(f1098,plain,
( op(op(e3,e3),e1) != op(e3,op(e3,e1))
| spl42_134 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1096,plain,
( spl42_134
<=> op(op(e3,e3),e1) = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_134])]) ).
fof(f3666,plain,
( ~ spl42_70
| spl42_133
| ~ spl42_172 ),
inference(avatar_contradiction_clause,[],[f3665]) ).
fof(f3665,plain,
( $false
| ~ spl42_70
| spl42_133
| ~ spl42_172 ),
inference(trivial_inequality_removal,[],[f3664]) ).
fof(f3664,plain,
( op(e2,e4) != op(e2,e4)
| ~ spl42_70
| spl42_133
| ~ spl42_172 ),
inference(forward_demodulation,[],[f3663,f841]) ).
fof(f3663,plain,
( op(e2,e4) != op(e2,op(unit,e4))
| spl42_133
| ~ spl42_172 ),
inference(forward_demodulation,[],[f1094,f1249]) ).
fof(f1094,plain,
( op(e2,op(unit,e4)) != op(op(e2,unit),e4)
| spl42_133 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1092,plain,
( spl42_133
<=> op(e2,op(unit,e4)) = op(op(e2,unit),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_133])]) ).
fof(f3659,plain,
( spl42_132
| ~ spl42_409
| ~ spl42_419 ),
inference(avatar_contradiction_clause,[],[f3658]) ).
fof(f3658,plain,
( $false
| spl42_132
| ~ spl42_409
| ~ spl42_419 ),
inference(subsumption_resolution,[],[f3657,f2319]) ).
fof(f3657,plain,
( op(e5,e4) != unit
| spl42_132
| ~ spl42_419 ),
inference(forward_demodulation,[],[f1090,f2370]) ).
fof(f1090,plain,
( unit != op(e5,inv(e5))
| spl42_132 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1088,plain,
( spl42_132
<=> unit = op(e5,inv(e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_132])]) ).
fof(f3653,plain,
( spl42_130
| ~ spl42_172
| ~ spl42_373
| ~ spl42_468
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f3652]) ).
fof(f3652,plain,
( $false
| spl42_130
| ~ spl42_172
| ~ spl42_373
| ~ spl42_468
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f3651,f2668]) ).
fof(f3651,plain,
( e2 != op(e4,e1)
| spl42_130
| ~ spl42_172
| ~ spl42_373
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3650,f2133]) ).
fof(f3650,plain,
( e2 != op(op(e2,e1),e1)
| spl42_130
| ~ spl42_172
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3649,f1249]) ).
fof(f3649,plain,
( op(op(e2,e1),e1) != op(e2,unit)
| spl42_130
| ~ spl42_468 ),
inference(forward_demodulation,[],[f1082,f2620]) ).
fof(f1082,plain,
( op(op(e2,e1),e1) != op(e2,op(e1,e1))
| spl42_130 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1080,plain,
( spl42_130
<=> op(op(e2,e1),e1) = op(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_130])]) ).
fof(f3647,plain,
( spl42_129
| ~ spl42_314
| ~ spl42_373
| ~ spl42_459
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3646]) ).
fof(f3646,plain,
( $false
| spl42_129
| ~ spl42_314
| ~ spl42_373
| ~ spl42_459
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3645,f2936]) ).
fof(f3645,plain,
( e3 != op(e4,e4)
| spl42_129
| ~ spl42_314
| ~ spl42_373
| ~ spl42_459 ),
inference(forward_demodulation,[],[f3644,f1824]) ).
fof(f3644,plain,
( op(e4,e4) != op(e5,e1)
| spl42_129
| ~ spl42_373
| ~ spl42_459 ),
inference(forward_demodulation,[],[f3643,f2574]) ).
fof(f3643,plain,
( op(e4,e4) != op(op(e4,e2),e1)
| spl42_129
| ~ spl42_373 ),
inference(forward_demodulation,[],[f1078,f2133]) ).
fof(f1078,plain,
( op(op(e4,e2),e1) != op(e4,op(e2,e1))
| spl42_129 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1076,plain,
( spl42_129
<=> op(op(e4,e2),e1) = op(e4,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_129])]) ).
fof(f3639,plain,
( ~ spl42_6
| spl42_127
| ~ spl42_259 ),
inference(avatar_contradiction_clause,[],[f3638]) ).
fof(f3638,plain,
( $false
| ~ spl42_6
| spl42_127
| ~ spl42_259 ),
inference(trivial_inequality_removal,[],[f3637]) ).
fof(f3637,plain,
( op(e4,e5) != op(e4,e5)
| ~ spl42_6
| spl42_127
| ~ spl42_259 ),
inference(forward_demodulation,[],[f3636,f1597]) ).
fof(f3636,plain,
( op(e4,e5) != op(e4,op(unit,e5))
| ~ spl42_6
| spl42_127 ),
inference(forward_demodulation,[],[f1070,f576]) ).
fof(f1070,plain,
( op(e4,op(unit,e5)) != op(op(e4,unit),e5)
| spl42_127 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1068,plain,
( spl42_127
<=> op(e4,op(unit,e5)) = op(op(e4,unit),e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).
fof(f3635,plain,
( ~ spl42_16
| spl42_126
| ~ spl42_355
| ~ spl42_434
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3634]) ).
fof(f3634,plain,
( $false
| ~ spl42_16
| spl42_126
| ~ spl42_355
| ~ spl42_434
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3633,f622]) ).
fof(f3633,plain,
( op(e3,e2) != unit
| spl42_126
| ~ spl42_355
| ~ spl42_434
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3632,f2446]) ).
fof(f3632,plain,
( op(e3,e2) != op(e4,e5)
| spl42_126
| ~ spl42_355
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3631,f2987]) ).
fof(f3631,plain,
( op(e3,e2) != op(op(e3,e5),e5)
| spl42_126
| ~ spl42_355 ),
inference(forward_demodulation,[],[f1066,f2040]) ).
fof(f1066,plain,
( op(op(e3,e5),e5) != op(e3,op(e5,e5))
| spl42_126 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1064,plain,
( spl42_126
<=> op(op(e3,e5),e5) = op(e3,op(e5,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).
fof(f3626,plain,
( ~ spl42_6
| ~ spl42_115
| spl42_125 ),
inference(avatar_contradiction_clause,[],[f3625]) ).
fof(f3625,plain,
( $false
| ~ spl42_6
| ~ spl42_115
| spl42_125 ),
inference(trivial_inequality_removal,[],[f3624]) ).
fof(f3624,plain,
( op(e4,e3) != op(e4,e3)
| ~ spl42_6
| ~ spl42_115
| spl42_125 ),
inference(forward_demodulation,[],[f3623,f576]) ).
fof(f3623,plain,
( op(e4,e3) != op(op(e4,unit),e3)
| ~ spl42_115
| spl42_125 ),
inference(forward_demodulation,[],[f1062,f1021]) ).
fof(f1062,plain,
( op(op(e4,unit),e3) != op(e4,op(unit,e3))
| spl42_125 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl42_125
<=> op(op(e4,unit),e3) = op(e4,op(unit,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_125])]) ).
fof(f3619,plain,
( spl42_124
| ~ spl42_198
| ~ spl42_305
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f3618]) ).
fof(f3618,plain,
( $false
| spl42_124
| ~ spl42_198
| ~ spl42_305
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f3617,f2446]) ).
fof(f3617,plain,
( op(e4,e5) != unit
| spl42_124
| ~ spl42_198
| ~ spl42_305
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3616,f1353]) ).
fof(f3616,plain,
( op(e4,e5) != op(unit,unit)
| spl42_124
| ~ spl42_305
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3615,f1781]) ).
fof(f3615,plain,
( op(unit,unit) != op(e4,op(e5,unit))
| spl42_124
| ~ spl42_434 ),
inference(forward_demodulation,[],[f1058,f2446]) ).
fof(f1058,plain,
( op(e4,op(e5,unit)) != op(op(e4,e5),unit)
| spl42_124 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1056,plain,
( spl42_124
<=> op(e4,op(e5,unit)) = op(op(e4,e5),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_124])]) ).
fof(f3612,plain,
( spl42_123
| ~ spl42_312
| ~ spl42_353
| ~ spl42_373
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3611]) ).
fof(f3611,plain,
( $false
| spl42_123
| ~ spl42_312
| ~ spl42_353
| ~ spl42_373
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3610,f2029]) ).
fof(f3610,plain,
( e4 != op(e1,e2)
| spl42_123
| ~ spl42_312
| ~ spl42_373
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3609,f2133]) ).
fof(f3609,plain,
( op(e1,e2) != op(e2,e1)
| spl42_123
| ~ spl42_312
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3608,f2899]) ).
fof(f3608,plain,
( op(e2,e1) != op(op(e2,e5),e2)
| spl42_123
| ~ spl42_312 ),
inference(forward_demodulation,[],[f1054,f1814]) ).
fof(f1054,plain,
( op(op(e2,e5),e2) != op(e2,op(e5,e2))
| spl42_123 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1052,plain,
( spl42_123
<=> op(op(e2,e5),e2) = op(e2,op(e5,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_123])]) ).
fof(f3607,plain,
( ~ spl42_16
| spl42_122
| ~ spl42_172
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f3606]) ).
fof(f3606,plain,
( $false
| ~ spl42_16
| spl42_122
| ~ spl42_172
| ~ spl42_198 ),
inference(subsumption_resolution,[],[f3605,f1353]) ).
fof(f3605,plain,
( unit != op(unit,unit)
| ~ spl42_16
| spl42_122
| ~ spl42_172 ),
inference(forward_demodulation,[],[f3604,f622]) ).
fof(f3604,plain,
( op(e3,e2) != op(op(e3,e2),unit)
| spl42_122
| ~ spl42_172 ),
inference(forward_demodulation,[],[f1050,f1249]) ).
fof(f1050,plain,
( op(op(e3,e2),unit) != op(e3,op(e2,unit))
| spl42_122 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1048,plain,
( spl42_122
<=> op(op(e3,e2),unit) = op(e3,op(e2,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_122])]) ).
fof(f3597,plain,
( ~ spl42_14
| spl42_121
| ~ spl42_422
| ~ spl42_459
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3596]) ).
fof(f3596,plain,
( $false
| ~ spl42_14
| spl42_121
| ~ spl42_422
| ~ spl42_459
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3595,f613]) ).
fof(f3595,plain,
( e3 != op(e1,e5)
| spl42_121
| ~ spl42_422
| ~ spl42_459
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3594,f2385]) ).
fof(f3594,plain,
( op(e1,e5) != op(e2,e2)
| spl42_121
| ~ spl42_459
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3593,f2673]) ).
fof(f3593,plain,
( op(e1,e5) != op(op(e1,e4),e2)
| spl42_121
| ~ spl42_459 ),
inference(forward_demodulation,[],[f1046,f2574]) ).
fof(f1046,plain,
( op(op(e1,e4),e2) != op(e1,op(e4,e2))
| spl42_121 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1044,plain,
( spl42_121
<=> op(op(e1,e4),e2) = op(e1,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_121])]) ).
fof(f3592,plain,
( ~ spl42_14
| spl42_120
| ~ spl42_314
| ~ spl42_362
| ~ spl42_433 ),
inference(avatar_contradiction_clause,[],[f3591]) ).
fof(f3591,plain,
( $false
| ~ spl42_14
| spl42_120
| ~ spl42_314
| ~ spl42_362
| ~ spl42_433 ),
inference(subsumption_resolution,[],[f3590,f613]) ).
fof(f3590,plain,
( e3 != op(e1,e5)
| spl42_120
| ~ spl42_314
| ~ spl42_362
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3589,f1824]) ).
fof(f3589,plain,
( op(e1,e5) != op(e5,e1)
| spl42_120
| ~ spl42_362
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3588,f2077]) ).
fof(f3588,plain,
( op(e1,e5) != op(op(e1,e3),e1)
| spl42_120
| ~ spl42_433 ),
inference(forward_demodulation,[],[f1042,f2441]) ).
fof(f1042,plain,
( op(op(e1,e3),e1) != op(e1,op(e3,e1))
| spl42_120 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1040,plain,
( spl42_120
<=> op(op(e1,e3),e1) = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_120])]) ).
fof(f3584,plain,
( spl42_118
| ~ spl42_355
| ~ spl42_366
| ~ spl42_409
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3583]) ).
fof(f3583,plain,
( $false
| spl42_118
| ~ spl42_355
| ~ spl42_366
| ~ spl42_409
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3582,f2868]) ).
fof(f3582,plain,
( op(e2,e3) != unit
| spl42_118
| ~ spl42_355
| ~ spl42_366
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3581,f2319]) ).
fof(f3581,plain,
( op(e2,e3) != op(e5,e4)
| spl42_118
| ~ spl42_355
| ~ spl42_366 ),
inference(forward_demodulation,[],[f3580,f2040]) ).
fof(f3580,plain,
( op(e5,e4) != op(op(e5,e5),e3)
| spl42_118
| ~ spl42_366 ),
inference(forward_demodulation,[],[f1034,f2097]) ).
fof(f1034,plain,
( op(op(e5,e5),e3) != op(e5,op(e5,e3))
| spl42_118 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl42_118
<=> op(op(e5,e5),e3) = op(e5,op(e5,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_118])]) ).
fof(f3573,plain,
( ~ spl42_70
| spl42_117
| ~ spl42_183
| ~ spl42_353 ),
inference(avatar_contradiction_clause,[],[f3572]) ).
fof(f3572,plain,
( $false
| ~ spl42_70
| spl42_117
| ~ spl42_183
| ~ spl42_353 ),
inference(subsumption_resolution,[],[f3571,f2029]) ).
fof(f3571,plain,
( e4 != op(e1,e2)
| ~ spl42_70
| spl42_117
| ~ spl42_183
| ~ spl42_353 ),
inference(forward_demodulation,[],[f3570,f841]) ).
fof(f3570,plain,
( op(e1,e2) != op(unit,e4)
| spl42_117
| ~ spl42_183
| ~ spl42_353 ),
inference(forward_demodulation,[],[f3569,f1293]) ).
fof(f3569,plain,
( op(unit,e4) != op(op(unit,e1),e2)
| spl42_117
| ~ spl42_353 ),
inference(forward_demodulation,[],[f1030,f2029]) ).
fof(f1030,plain,
( op(op(unit,e1),e2) != op(unit,op(e1,e2))
| spl42_117 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1028,plain,
( spl42_117
<=> op(op(unit,e1),e2) = op(unit,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_117])]) ).
fof(f3567,plain,
( spl42_116
| ~ spl42_422
| ~ spl42_464
| ~ spl42_519
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3566]) ).
fof(f3566,plain,
( $false
| spl42_116
| ~ spl42_422
| ~ spl42_464
| ~ spl42_519
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3565,f2899]) ).
fof(f3565,plain,
( e1 != op(e2,e5)
| spl42_116
| ~ spl42_422
| ~ spl42_464
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3564,f2883]) ).
fof(f3564,plain,
( op(e2,e5) != op(e3,e4)
| spl42_116
| ~ spl42_422
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3563,f2385]) ).
fof(f3563,plain,
( op(e2,e5) != op(op(e2,e2),e4)
| spl42_116
| ~ spl42_464 ),
inference(forward_demodulation,[],[f1026,f2600]) ).
fof(f1026,plain,
( op(op(e2,e2),e4) != op(e2,op(e2,e4))
| spl42_116 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1024,plain,
( spl42_116
<=> op(op(e2,e2),e4) = op(e2,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_116])]) ).
fof(f3562,plain,
( ~ spl42_16
| spl42_114
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3561]) ).
fof(f3561,plain,
( $false
| ~ spl42_16
| spl42_114
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3560,f2868]) ).
fof(f3560,plain,
( op(e2,e3) != unit
| ~ spl42_16
| spl42_114 ),
inference(forward_demodulation,[],[f1018,f622]) ).
fof(f1018,plain,
( op(e2,e3) != op(e3,e2)
| spl42_114 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1016,plain,
( spl42_114
<=> op(e2,e3) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_114])]) ).
fof(f3553,plain,
( spl42_112
| ~ spl42_312
| ~ spl42_353
| ~ spl42_366
| ~ spl42_422 ),
inference(avatar_contradiction_clause,[],[f3552]) ).
fof(f3552,plain,
( $false
| spl42_112
| ~ spl42_312
| ~ spl42_353
| ~ spl42_366
| ~ spl42_422 ),
inference(subsumption_resolution,[],[f3551,f2029]) ).
fof(f3551,plain,
( e4 != op(e1,e2)
| spl42_112
| ~ spl42_312
| ~ spl42_366
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3550,f2097]) ).
fof(f3550,plain,
( op(e1,e2) != op(e5,e3)
| spl42_112
| ~ spl42_312
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3549,f1814]) ).
fof(f3549,plain,
( op(e5,e3) != op(op(e5,e2),e2)
| spl42_112
| ~ spl42_422 ),
inference(forward_demodulation,[],[f1010,f2385]) ).
fof(f1010,plain,
( op(op(e5,e2),e2) != op(e5,op(e2,e2))
| spl42_112 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1008,plain,
( spl42_112
<=> op(op(e5,e2),e2) = op(e5,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_112])]) ).
fof(f3548,plain,
( spl42_110
| ~ spl42_353
| ~ spl42_434
| ~ spl42_468
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3547]) ).
fof(f3547,plain,
( $false
| spl42_110
| ~ spl42_353
| ~ spl42_434
| ~ spl42_468
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3546,f2620]) ).
fof(f3546,plain,
( op(e1,e1) != unit
| spl42_110
| ~ spl42_353
| ~ spl42_434
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3545,f2446]) ).
fof(f3545,plain,
( op(e1,e1) != op(e4,e5)
| spl42_110
| ~ spl42_353
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3544,f2029]) ).
fof(f3544,plain,
( op(e1,e1) != op(op(e1,e2),e5)
| spl42_110
| ~ spl42_522 ),
inference(forward_demodulation,[],[f1002,f2899]) ).
fof(f1002,plain,
( op(op(e1,e2),e5) != op(e1,op(e2,e5))
| spl42_110 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1000,plain,
( spl42_110
<=> op(op(e1,e2),e5) = op(e1,op(e2,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_110])]) ).
fof(f3540,plain,
( spl42_109
| ~ spl42_183
| ~ spl42_433
| ~ spl42_516
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3539]) ).
fof(f3539,plain,
( $false
| spl42_109
| ~ spl42_183
| ~ spl42_433
| ~ spl42_516
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3538,f2899]) ).
fof(f3538,plain,
( e1 != op(e2,e5)
| spl42_109
| ~ spl42_183
| ~ spl42_433
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3537,f1293]) ).
fof(f3537,plain,
( op(e2,e5) != op(unit,e1)
| spl42_109
| ~ spl42_433
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3536,f2868]) ).
fof(f3536,plain,
( op(e2,e5) != op(op(e2,e3),e1)
| spl42_109
| ~ spl42_433 ),
inference(forward_demodulation,[],[f998,f2441]) ).
fof(f998,plain,
( op(op(e2,e3),e1) != op(e2,op(e3,e1))
| spl42_109 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f996,plain,
( spl42_109
<=> op(op(e2,e3),e1) = op(e2,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_109])]) ).
fof(f3531,plain,
( spl42_108
| ~ spl42_111
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f3530]) ).
fof(f3530,plain,
( $false
| spl42_108
| ~ spl42_111
| ~ spl42_183 ),
inference(trivial_inequality_removal,[],[f3529]) ).
fof(f3529,plain,
( op(e1,e1) != op(e1,e1)
| spl42_108
| ~ spl42_111
| ~ spl42_183 ),
inference(forward_demodulation,[],[f3528,f1293]) ).
fof(f3528,plain,
( op(e1,e1) != op(e1,op(unit,e1))
| spl42_108
| ~ spl42_111 ),
inference(forward_demodulation,[],[f994,f1005]) ).
fof(f994,plain,
( op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| spl42_108 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f992,plain,
( spl42_108
<=> op(e1,op(unit,e1)) = op(op(e1,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_108])]) ).
fof(f3527,plain,
( spl42_107
| ~ spl42_409
| ~ spl42_434
| ~ spl42_459
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f3526]) ).
fof(f3526,plain,
( $false
| spl42_107
| ~ spl42_409
| ~ spl42_434
| ~ spl42_459
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f3525,f2446]) ).
fof(f3525,plain,
( op(e4,e5) != unit
| spl42_107
| ~ spl42_409
| ~ spl42_459
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3524,f2319]) ).
fof(f3524,plain,
( op(e4,e5) != op(e5,e4)
| spl42_107
| ~ spl42_459
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3523,f2574]) ).
fof(f3523,plain,
( op(e4,e5) != op(op(e4,e2),e4)
| spl42_107
| ~ spl42_464 ),
inference(forward_demodulation,[],[f990,f2600]) ).
fof(f990,plain,
( op(op(e4,e2),e4) != op(e4,op(e2,e4))
| spl42_107 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl42_107
<=> op(op(e4,e2),e4) = op(e4,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).
fof(f3516,plain,
( spl42_106
| ~ spl42_259
| ~ spl42_464
| ~ spl42_516
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3515]) ).
fof(f3515,plain,
( $false
| spl42_106
| ~ spl42_259
| ~ spl42_464
| ~ spl42_516
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3514,f2600]) ).
fof(f3514,plain,
( e5 != op(e2,e4)
| spl42_106
| ~ spl42_259
| ~ spl42_516
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3513,f1597]) ).
fof(f3513,plain,
( op(e2,e4) != op(unit,e5)
| spl42_106
| ~ spl42_516
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3512,f2868]) ).
fof(f3512,plain,
( op(e2,e4) != op(op(e2,e3),e5)
| spl42_106
| ~ spl42_539 ),
inference(forward_demodulation,[],[f986,f2987]) ).
fof(f986,plain,
( op(op(e2,e3),e5) != op(e2,op(e3,e5))
| spl42_106 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f984,plain,
( spl42_106
<=> op(op(e2,e3),e5) = op(e2,op(e3,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_106])]) ).
fof(f3510,plain,
( spl42_105
| ~ spl42_312
| ~ spl42_378
| ~ spl42_422
| ~ spl42_459 ),
inference(avatar_contradiction_clause,[],[f3509]) ).
fof(f3509,plain,
( $false
| spl42_105
| ~ spl42_312
| ~ spl42_378
| ~ spl42_422
| ~ spl42_459 ),
inference(subsumption_resolution,[],[f3508,f2158]) ).
fof(f3508,plain,
( e1 != op(e4,e3)
| spl42_105
| ~ spl42_312
| ~ spl42_422
| ~ spl42_459 ),
inference(forward_demodulation,[],[f3507,f1814]) ).
fof(f3507,plain,
( op(e4,e3) != op(e5,e2)
| spl42_105
| ~ spl42_422
| ~ spl42_459 ),
inference(forward_demodulation,[],[f3506,f2574]) ).
fof(f3506,plain,
( op(e4,e3) != op(op(e4,e2),e2)
| spl42_105
| ~ spl42_422 ),
inference(forward_demodulation,[],[f982,f2385]) ).
fof(f982,plain,
( op(op(e4,e2),e2) != op(e4,op(e2,e2))
| spl42_105 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f980,plain,
( spl42_105
<=> op(op(e4,e2),e2) = op(e4,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_105])]) ).
fof(f3503,plain,
( spl42_104
| ~ spl42_516
| ~ spl42_527 ),
inference(avatar_contradiction_clause,[],[f3502]) ).
fof(f3502,plain,
( $false
| spl42_104
| ~ spl42_516
| ~ spl42_527 ),
inference(subsumption_resolution,[],[f3501,f2868]) ).
fof(f3501,plain,
( op(e2,e3) != unit
| spl42_104
| ~ spl42_527 ),
inference(forward_demodulation,[],[f978,f2926]) ).
fof(f2926,plain,
( e3 = inv(e2)
| ~ spl42_527 ),
inference(avatar_component_clause,[],[f2925]) ).
fof(f2925,plain,
( spl42_527
<=> e3 = inv(e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_527])]) ).
fof(f978,plain,
( unit != op(e2,inv(e2))
| spl42_104 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f976,plain,
( spl42_104
<=> unit = op(e2,inv(e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_104])]) ).
fof(f3497,plain,
( spl42_102
| ~ spl42_378
| ~ spl42_519
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3496]) ).
fof(f3496,plain,
( $false
| spl42_102
| ~ spl42_378
| ~ spl42_519
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3495,f2883]) ).
fof(f3495,plain,
( e1 != op(e3,e4)
| spl42_102
| ~ spl42_378
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3494,f2158]) ).
fof(f3494,plain,
( op(e3,e4) != op(e4,e3)
| spl42_102
| ~ spl42_529 ),
inference(forward_demodulation,[],[f970,f2936]) ).
fof(f970,plain,
( op(op(e4,e4),e4) != op(e4,op(e4,e4))
| spl42_102 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f968,plain,
( spl42_102
<=> op(op(e4,e4),e4) = op(e4,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).
fof(f3492,plain,
( ~ spl42_14
| spl42_101
| ~ spl42_115
| ~ spl42_362
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3491]) ).
fof(f3491,plain,
( $false
| ~ spl42_14
| spl42_101
| ~ spl42_115
| ~ spl42_362
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3490,f613]) ).
fof(f3490,plain,
( e3 != op(e1,e5)
| spl42_101
| ~ spl42_115
| ~ spl42_362
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3489,f1021]) ).
fof(f3489,plain,
( op(e1,e5) != op(unit,e3)
| spl42_101
| ~ spl42_362
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3488,f2620]) ).
fof(f3488,plain,
( op(e1,e5) != op(op(e1,e1),e3)
| spl42_101
| ~ spl42_362 ),
inference(forward_demodulation,[],[f966,f2077]) ).
fof(f966,plain,
( op(op(e1,e1),e3) != op(e1,op(e1,e3))
| spl42_101 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f964,plain,
( spl42_101
<=> op(op(e1,e1),e3) = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_101])]) ).
fof(f3485,plain,
( ~ spl42_16
| spl42_100
| ~ spl42_527 ),
inference(avatar_contradiction_clause,[],[f3484]) ).
fof(f3484,plain,
( $false
| ~ spl42_16
| spl42_100
| ~ spl42_527 ),
inference(subsumption_resolution,[],[f3483,f622]) ).
fof(f3483,plain,
( op(e3,e2) != unit
| spl42_100
| ~ spl42_527 ),
inference(forward_demodulation,[],[f962,f2926]) ).
fof(f962,plain,
( unit != op(inv(e2),e2)
| spl42_100 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f960,plain,
( spl42_100
<=> unit = op(inv(e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_100])]) ).
fof(f3482,plain,
( spl42_99
| ~ spl42_111
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f3481]) ).
fof(f3481,plain,
( $false
| spl42_99
| ~ spl42_111
| ~ spl42_183 ),
inference(subsumption_resolution,[],[f3480,f1293]) ).
fof(f3480,plain,
( e1 != op(unit,e1)
| spl42_99
| ~ spl42_111
| ~ spl42_183 ),
inference(forward_demodulation,[],[f3479,f1005]) ).
fof(f3479,plain,
( op(e1,unit) != op(unit,op(e1,unit))
| spl42_99
| ~ spl42_183 ),
inference(forward_demodulation,[],[f958,f1293]) ).
fof(f958,plain,
( op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| spl42_99 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f956,plain,
( spl42_99
<=> op(unit,op(e1,unit)) = op(op(unit,e1),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).
fof(f3474,plain,
( ~ spl42_6
| ~ spl42_70
| spl42_98 ),
inference(avatar_contradiction_clause,[],[f3473]) ).
fof(f3473,plain,
( $false
| ~ spl42_6
| ~ spl42_70
| spl42_98 ),
inference(subsumption_resolution,[],[f3472,f841]) ).
fof(f3472,plain,
( e4 != op(unit,e4)
| ~ spl42_6
| ~ spl42_70
| spl42_98 ),
inference(forward_demodulation,[],[f3471,f576]) ).
fof(f3471,plain,
( op(e4,unit) != op(unit,op(e4,unit))
| ~ spl42_70
| spl42_98 ),
inference(forward_demodulation,[],[f954,f841]) ).
fof(f954,plain,
( op(unit,op(e4,unit)) != op(op(unit,e4),unit)
| spl42_98 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f952,plain,
( spl42_98
<=> op(unit,op(e4,unit)) = op(op(unit,e4),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).
fof(f3467,plain,
( ~ spl42_16
| spl42_97
| ~ spl42_115
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f3466]) ).
fof(f3466,plain,
( $false
| ~ spl42_16
| spl42_97
| ~ spl42_115
| ~ spl42_198 ),
inference(subsumption_resolution,[],[f3465,f1353]) ).
fof(f3465,plain,
( unit != op(unit,unit)
| ~ spl42_16
| spl42_97
| ~ spl42_115 ),
inference(forward_demodulation,[],[f3464,f622]) ).
fof(f3464,plain,
( op(e3,e2) != op(unit,op(e3,e2))
| spl42_97
| ~ spl42_115 ),
inference(forward_demodulation,[],[f950,f1021]) ).
fof(f950,plain,
( op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| spl42_97 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f948,plain,
( spl42_97
<=> op(unit,op(e3,e2)) = op(op(unit,e3),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_97])]) ).
fof(f3463,plain,
( ~ spl42_70
| spl42_95
| ~ spl42_183
| ~ spl42_378 ),
inference(avatar_contradiction_clause,[],[f3462]) ).
fof(f3462,plain,
( $false
| ~ spl42_70
| spl42_95
| ~ spl42_183
| ~ spl42_378 ),
inference(subsumption_resolution,[],[f3461,f2158]) ).
fof(f3461,plain,
( e1 != op(e4,e3)
| ~ spl42_70
| spl42_95
| ~ spl42_183
| ~ spl42_378 ),
inference(forward_demodulation,[],[f3460,f1293]) ).
fof(f3460,plain,
( op(e4,e3) != op(unit,e1)
| ~ spl42_70
| spl42_95
| ~ spl42_378 ),
inference(forward_demodulation,[],[f3459,f841]) ).
fof(f3459,plain,
( op(unit,e1) != op(op(unit,e4),e3)
| spl42_95
| ~ spl42_378 ),
inference(forward_demodulation,[],[f942,f2158]) ).
fof(f942,plain,
( op(op(unit,e4),e3) != op(unit,op(e4,e3))
| spl42_95 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f940,plain,
( spl42_95
<=> op(op(unit,e4),e3) = op(unit,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).
fof(f3452,plain,
( spl42_91
| ~ spl42_362
| ~ spl42_409
| ~ spl42_468
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3451]) ).
fof(f3451,plain,
( $false
| spl42_91
| ~ spl42_362
| ~ spl42_409
| ~ spl42_468
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3450,f2620]) ).
fof(f3450,plain,
( op(e1,e1) != unit
| spl42_91
| ~ spl42_362
| ~ spl42_409
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3449,f2319]) ).
fof(f3449,plain,
( op(e1,e1) != op(e5,e4)
| spl42_91
| ~ spl42_362
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3448,f2077]) ).
fof(f3448,plain,
( op(e1,e1) != op(op(e1,e3),e4)
| spl42_91
| ~ spl42_519 ),
inference(forward_demodulation,[],[f926,f2883]) ).
fof(f926,plain,
( op(op(e1,e3),e4) != op(e1,op(e3,e4))
| spl42_91 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f924,plain,
( spl42_91
<=> op(op(e1,e3),e4) = op(e1,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_91])]) ).
fof(f3447,plain,
( spl42_90
| ~ spl42_172
| ~ spl42_355
| ~ spl42_434
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3446,plain,
( $false
| spl42_90
| ~ spl42_172
| ~ spl42_355
| ~ spl42_434
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f3445,f2040]) ).
fof(f3445,plain,
( e2 != op(e5,e5)
| spl42_90
| ~ spl42_172
| ~ spl42_434
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3444,f2600]) ).
fof(f3444,plain,
( e2 != op(op(e2,e4),e5)
| spl42_90
| ~ spl42_172
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3443,f1249]) ).
fof(f3443,plain,
( op(op(e2,e4),e5) != op(e2,unit)
| spl42_90
| ~ spl42_434 ),
inference(forward_demodulation,[],[f922,f2446]) ).
fof(f922,plain,
( op(op(e2,e4),e5) != op(e2,op(e4,e5))
| spl42_90 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f920,plain,
( spl42_90
<=> op(op(e2,e4),e5) = op(e2,op(e4,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).
fof(f3436,plain,
( spl42_89
| ~ spl42_115
| ~ spl42_314
| ~ spl42_378
| ~ spl42_409 ),
inference(avatar_contradiction_clause,[],[f3435]) ).
fof(f3435,plain,
( $false
| spl42_89
| ~ spl42_115
| ~ spl42_314
| ~ spl42_378
| ~ spl42_409 ),
inference(subsumption_resolution,[],[f3434,f1824]) ).
fof(f3434,plain,
( e3 != op(e5,e1)
| spl42_89
| ~ spl42_115
| ~ spl42_378
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3433,f1021]) ).
fof(f3433,plain,
( op(e5,e1) != op(unit,e3)
| spl42_89
| ~ spl42_378
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3432,f2319]) ).
fof(f3432,plain,
( op(e5,e1) != op(op(e5,e4),e3)
| spl42_89
| ~ spl42_378 ),
inference(forward_demodulation,[],[f918,f2158]) ).
fof(f918,plain,
( op(op(e5,e4),e3) != op(e5,op(e4,e3))
| spl42_89 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f916,plain,
( spl42_89
<=> op(op(e5,e4),e3) = op(e5,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).
fof(f3431,plain,
( ~ spl42_14
| spl42_88
| ~ spl42_259
| ~ spl42_362
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3430]) ).
fof(f3430,plain,
( $false
| ~ spl42_14
| spl42_88
| ~ spl42_259
| ~ spl42_362
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3429,f2077]) ).
fof(f3429,plain,
( e5 != op(e1,e3)
| ~ spl42_14
| spl42_88
| ~ spl42_259
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3428,f1597]) ).
fof(f3428,plain,
( op(e1,e3) != op(unit,e5)
| ~ spl42_14
| spl42_88
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3427,f2620]) ).
fof(f3427,plain,
( op(e1,e3) != op(op(e1,e1),e5)
| ~ spl42_14
| spl42_88 ),
inference(forward_demodulation,[],[f914,f613]) ).
fof(f914,plain,
( op(op(e1,e1),e5) != op(e1,op(e1,e5))
| spl42_88 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl42_88
<=> op(op(e1,e1),e5) = op(e1,op(e1,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).
fof(f3423,plain,
( ~ spl42_16
| spl42_87
| ~ spl42_183
| ~ spl42_373
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3422]) ).
fof(f3422,plain,
( $false
| ~ spl42_16
| spl42_87
| ~ spl42_183
| ~ spl42_373
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3421,f2883]) ).
fof(f3421,plain,
( e1 != op(e3,e4)
| ~ spl42_16
| spl42_87
| ~ spl42_183
| ~ spl42_373 ),
inference(forward_demodulation,[],[f3420,f1293]) ).
fof(f3420,plain,
( op(e3,e4) != op(unit,e1)
| ~ spl42_16
| spl42_87
| ~ spl42_373 ),
inference(forward_demodulation,[],[f3419,f622]) ).
fof(f3419,plain,
( op(e3,e4) != op(op(e3,e2),e1)
| spl42_87
| ~ spl42_373 ),
inference(forward_demodulation,[],[f910,f2133]) ).
fof(f910,plain,
( op(op(e3,e2),e1) != op(e3,op(e2,e1))
| spl42_87 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl42_87
<=> op(op(e3,e2),e1) = op(e3,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).
fof(f3414,plain,
( spl42_86
| ~ spl42_183
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f3413]) ).
fof(f3413,plain,
( $false
| spl42_86
| ~ spl42_183
| ~ spl42_305 ),
inference(trivial_inequality_removal,[],[f3412]) ).
fof(f3412,plain,
( op(e5,e1) != op(e5,e1)
| spl42_86
| ~ spl42_183
| ~ spl42_305 ),
inference(forward_demodulation,[],[f3411,f1781]) ).
fof(f3411,plain,
( op(e5,e1) != op(op(e5,unit),e1)
| spl42_86
| ~ spl42_183 ),
inference(forward_demodulation,[],[f906,f1293]) ).
fof(f906,plain,
( op(op(e5,unit),e1) != op(e5,op(unit,e1))
| spl42_86 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f904,plain,
( spl42_86
<=> op(op(e5,unit),e1) = op(e5,op(unit,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f3407,plain,
( spl42_83
| ~ spl42_355
| ~ spl42_362
| ~ spl42_478
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3406]) ).
fof(f3406,plain,
( $false
| spl42_83
| ~ spl42_355
| ~ spl42_362
| ~ spl42_478
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3405,f2673]) ).
fof(f3405,plain,
( e2 != op(e1,e4)
| spl42_83
| ~ spl42_355
| ~ spl42_362
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3404,f2040]) ).
fof(f3404,plain,
( op(e1,e4) != op(e5,e5)
| spl42_83
| ~ spl42_362
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3403,f2077]) ).
fof(f3403,plain,
( op(e1,e4) != op(op(e1,e3),e5)
| spl42_83
| ~ spl42_539 ),
inference(forward_demodulation,[],[f894,f2987]) ).
fof(f894,plain,
( op(op(e1,e3),e5) != op(e1,op(e3,e5))
| spl42_83 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f892,plain,
( spl42_83
<=> op(op(e1,e3),e5) = op(e1,op(e3,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).
fof(f3399,plain,
( ~ spl42_6
| spl42_82
| ~ spl42_366
| ~ spl42_459
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3398]) ).
fof(f3398,plain,
( $false
| ~ spl42_6
| spl42_82
| ~ spl42_366
| ~ spl42_459
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3397,f2097]) ).
fof(f3397,plain,
( e4 != op(e5,e3)
| ~ spl42_6
| spl42_82
| ~ spl42_459
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3396,f2574]) ).
fof(f3396,plain,
( e4 != op(op(e4,e2),e3)
| ~ spl42_6
| spl42_82
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3395,f576]) ).
fof(f3395,plain,
( op(op(e4,e2),e3) != op(e4,unit)
| spl42_82
| ~ spl42_516 ),
inference(forward_demodulation,[],[f890,f2868]) ).
fof(f890,plain,
( op(op(e4,e2),e3) != op(e4,op(e2,e3))
| spl42_82 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl42_82
<=> op(op(e4,e2),e3) = op(e4,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).
fof(f3394,plain,
( spl42_81
| ~ spl42_362
| ~ spl42_378
| ~ spl42_459
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3393]) ).
fof(f3393,plain,
( $false
| spl42_81
| ~ spl42_362
| ~ spl42_378
| ~ spl42_459
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3392,f2077]) ).
fof(f3392,plain,
( e5 != op(e1,e3)
| spl42_81
| ~ spl42_378
| ~ spl42_459
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3391,f2574]) ).
fof(f3391,plain,
( op(e1,e3) != op(e4,e2)
| spl42_81
| ~ spl42_378
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3390,f2158]) ).
fof(f3390,plain,
( op(e4,e2) != op(op(e4,e3),e3)
| spl42_81
| ~ spl42_520 ),
inference(forward_demodulation,[],[f886,f2888]) ).
fof(f886,plain,
( op(op(e4,e3),e3) != op(e4,op(e3,e3))
| spl42_81 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl42_81
<=> op(op(e4,e3),e3) = op(e4,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).
fof(f3388,plain,
( ~ spl42_62
| spl42_80
| ~ spl42_172 ),
inference(avatar_contradiction_clause,[],[f3387]) ).
fof(f3387,plain,
( $false
| ~ spl42_62
| spl42_80
| ~ spl42_172 ),
inference(trivial_inequality_removal,[],[f3386]) ).
fof(f3386,plain,
( op(e2,e2) != op(e2,e2)
| ~ spl42_62
| spl42_80
| ~ spl42_172 ),
inference(forward_demodulation,[],[f3385,f1249]) ).
fof(f3385,plain,
( op(e2,e2) != op(op(e2,unit),e2)
| ~ spl42_62
| spl42_80 ),
inference(forward_demodulation,[],[f882,f809]) ).
fof(f882,plain,
( op(op(e2,unit),e2) != op(e2,op(unit,e2))
| spl42_80 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl42_80
<=> op(op(e2,unit),e2) = op(e2,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).
fof(f3381,plain,
( ~ spl42_62
| spl42_79
| ~ spl42_353
| ~ spl42_468
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3380]) ).
fof(f3380,plain,
( $false
| ~ spl42_62
| spl42_79
| ~ spl42_353
| ~ spl42_468
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3379,f2673]) ).
fof(f3379,plain,
( e2 != op(e1,e4)
| ~ spl42_62
| spl42_79
| ~ spl42_353
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3378,f809]) ).
fof(f3378,plain,
( op(e1,e4) != op(unit,e2)
| spl42_79
| ~ spl42_353
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3377,f2620]) ).
fof(f3377,plain,
( op(e1,e4) != op(op(e1,e1),e2)
| spl42_79
| ~ spl42_353 ),
inference(forward_demodulation,[],[f878,f2029]) ).
fof(f878,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| spl42_79 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl42_79
<=> op(op(e1,e1),e2) = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_79])]) ).
fof(f3370,plain,
( spl42_78
| ~ spl42_362
| ~ spl42_373
| ~ spl42_378
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3369]) ).
fof(f3369,plain,
( $false
| spl42_78
| ~ spl42_362
| ~ spl42_373
| ~ spl42_378
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3368,f2899]) ).
fof(f3368,plain,
( e1 != op(e2,e5)
| spl42_78
| ~ spl42_362
| ~ spl42_373
| ~ spl42_378 ),
inference(forward_demodulation,[],[f3367,f2158]) ).
fof(f3367,plain,
( op(e2,e5) != op(e4,e3)
| spl42_78
| ~ spl42_362
| ~ spl42_373 ),
inference(forward_demodulation,[],[f3366,f2133]) ).
fof(f3366,plain,
( op(e2,e5) != op(op(e2,e1),e3)
| spl42_78
| ~ spl42_362 ),
inference(forward_demodulation,[],[f874,f2077]) ).
fof(f874,plain,
( op(op(e2,e1),e3) != op(e2,op(e1,e3))
| spl42_78 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f872,plain,
( spl42_78
<=> op(op(e2,e1),e3) = op(e2,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).
fof(f3364,plain,
( spl42_77
| ~ spl42_353
| ~ spl42_362
| ~ spl42_366
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3363]) ).
fof(f3363,plain,
( $false
| spl42_77
| ~ spl42_353
| ~ spl42_362
| ~ spl42_366
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3362,f2029]) ).
fof(f3362,plain,
( e4 != op(e1,e2)
| spl42_77
| ~ spl42_362
| ~ spl42_366
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3361,f2097]) ).
fof(f3361,plain,
( op(e1,e2) != op(e5,e3)
| spl42_77
| ~ spl42_362
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3360,f2077]) ).
fof(f3360,plain,
( op(e1,e2) != op(op(e1,e3),e3)
| spl42_77
| ~ spl42_520 ),
inference(forward_demodulation,[],[f870,f2888]) ).
fof(f870,plain,
( op(op(e1,e3),e3) != op(e1,op(e3,e3))
| spl42_77 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f868,plain,
( spl42_77
<=> op(op(e1,e3),e3) = op(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_77])]) ).
fof(f3359,plain,
( spl42_76
| ~ spl42_399
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f3358]) ).
fof(f3358,plain,
( $false
| spl42_76
| ~ spl42_399
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f3357,f2446]) ).
fof(f3357,plain,
( op(e4,e5) != unit
| spl42_76
| ~ spl42_399 ),
inference(forward_demodulation,[],[f866,f2269]) ).
fof(f866,plain,
( unit != op(e4,inv(e4))
| spl42_76 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f864,plain,
( spl42_76
<=> unit = op(e4,inv(e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_76])]) ).
fof(f3354,plain,
( spl42_75
| ~ spl42_198
| ~ spl42_259
| ~ spl42_409 ),
inference(avatar_contradiction_clause,[],[f3353]) ).
fof(f3353,plain,
( $false
| spl42_75
| ~ spl42_198
| ~ spl42_259
| ~ spl42_409 ),
inference(subsumption_resolution,[],[f3352,f1353]) ).
fof(f3352,plain,
( unit != op(unit,unit)
| spl42_75
| ~ spl42_259
| ~ spl42_409 ),
inference(forward_demodulation,[],[f3351,f2319]) ).
fof(f3351,plain,
( op(e5,e4) != op(unit,op(e5,e4))
| spl42_75
| ~ spl42_259 ),
inference(forward_demodulation,[],[f862,f1597]) ).
fof(f862,plain,
( op(unit,op(e5,e4)) != op(op(unit,e5),e4)
| spl42_75 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl42_75
<=> op(unit,op(e5,e4)) = op(op(unit,e5),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_75])]) ).
fof(f3345,plain,
( ~ spl42_14
| spl42_74
| ~ spl42_115
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f3344]) ).
fof(f3344,plain,
( $false
| ~ spl42_14
| spl42_74
| ~ spl42_115
| ~ spl42_183 ),
inference(subsumption_resolution,[],[f3343,f613]) ).
fof(f3343,plain,
( e3 != op(e1,e5)
| ~ spl42_14
| spl42_74
| ~ spl42_115
| ~ spl42_183 ),
inference(forward_demodulation,[],[f3342,f1021]) ).
fof(f3342,plain,
( op(e1,e5) != op(unit,e3)
| ~ spl42_14
| spl42_74
| ~ spl42_183 ),
inference(forward_demodulation,[],[f3341,f1293]) ).
fof(f3341,plain,
( op(unit,e3) != op(op(unit,e1),e5)
| ~ spl42_14
| spl42_74 ),
inference(forward_demodulation,[],[f858,f613]) ).
fof(f858,plain,
( op(op(unit,e1),e5) != op(unit,op(e1,e5))
| spl42_74 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl42_74
<=> op(op(unit,e1),e5) = op(unit,op(e1,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).
fof(f3340,plain,
( ~ spl42_70
| spl42_73
| ~ spl42_115
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| ~ spl42_70
| spl42_73
| ~ spl42_115
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3338,f841]) ).
fof(f3338,plain,
( e4 != op(unit,e4)
| spl42_73
| ~ spl42_115
| ~ spl42_539 ),
inference(forward_demodulation,[],[f3337,f2987]) ).
fof(f3337,plain,
( op(e3,e5) != op(unit,op(e3,e5))
| spl42_73
| ~ spl42_115 ),
inference(forward_demodulation,[],[f854,f1021]) ).
fof(f854,plain,
( op(unit,op(e3,e5)) != op(op(unit,e3),e5)
| spl42_73 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f852,plain,
( spl42_73
<=> op(unit,op(e3,e5)) = op(op(unit,e3),e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).
fof(f3333,plain,
( ~ spl42_16
| spl42_71
| ~ spl42_305
| ~ spl42_366
| ~ spl42_459 ),
inference(avatar_contradiction_clause,[],[f3332]) ).
fof(f3332,plain,
( $false
| ~ spl42_16
| spl42_71
| ~ spl42_305
| ~ spl42_366
| ~ spl42_459 ),
inference(subsumption_resolution,[],[f3331,f2574]) ).
fof(f3331,plain,
( e5 != op(e4,e2)
| ~ spl42_16
| spl42_71
| ~ spl42_305
| ~ spl42_366 ),
inference(forward_demodulation,[],[f3330,f2097]) ).
fof(f3330,plain,
( e5 != op(op(e5,e3),e2)
| ~ spl42_16
| spl42_71
| ~ spl42_305 ),
inference(forward_demodulation,[],[f3329,f1781]) ).
fof(f3329,plain,
( op(op(e5,e3),e2) != op(e5,unit)
| ~ spl42_16
| spl42_71 ),
inference(forward_demodulation,[],[f846,f622]) ).
fof(f846,plain,
( op(op(e5,e3),e2) != op(e5,op(e3,e2))
| spl42_71 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl42_71
<=> op(op(e5,e3),e2) = op(e5,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).
fof(f3322,plain,
( ~ spl42_14
| spl42_69
| ~ spl42_258
| ~ spl42_434
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3321,plain,
( $false
| ~ spl42_14
| spl42_69
| ~ spl42_258
| ~ spl42_434
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3320,f613]) ).
fof(f3320,plain,
( e3 != op(e1,e5)
| spl42_69
| ~ spl42_258
| ~ spl42_434
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3319,f2883]) ).
fof(f3319,plain,
( e3 != op(op(e3,e4),e5)
| spl42_69
| ~ spl42_258
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3318,f1593]) ).
fof(f3318,plain,
( op(op(e3,e4),e5) != op(e3,unit)
| spl42_69
| ~ spl42_434 ),
inference(forward_demodulation,[],[f838,f2446]) ).
fof(f838,plain,
( op(op(e3,e4),e5) != op(e3,op(e4,e5))
| spl42_69 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f836,plain,
( spl42_69
<=> op(op(e3,e4),e5) = op(e3,op(e4,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_69])]) ).
fof(f3314,plain,
( spl42_68
| ~ spl42_378
| ~ spl42_477
| ~ spl42_478
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3313]) ).
fof(f3313,plain,
( $false
| spl42_68
| ~ spl42_378
| ~ spl42_477
| ~ spl42_478
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3312,f2673]) ).
fof(f3312,plain,
( e2 != op(e1,e4)
| spl42_68
| ~ spl42_378
| ~ spl42_477
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3311,f2668]) ).
fof(f3311,plain,
( op(e1,e4) != op(e4,e1)
| spl42_68
| ~ spl42_378
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3310,f2158]) ).
fof(f3310,plain,
( op(e4,e1) != op(op(e4,e3),e4)
| spl42_68
| ~ spl42_519 ),
inference(forward_demodulation,[],[f834,f2883]) ).
fof(f834,plain,
( op(op(e4,e3),e4) != op(e4,op(e3,e4))
| spl42_68 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f832,plain,
( spl42_68
<=> op(op(e4,e3),e4) = op(e4,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_68])]) ).
fof(f3309,plain,
( spl42_67
| ~ spl42_353
| ~ spl42_362
| ~ spl42_422
| ~ spl42_459 ),
inference(avatar_contradiction_clause,[],[f3308]) ).
fof(f3308,plain,
( $false
| spl42_67
| ~ spl42_353
| ~ spl42_362
| ~ spl42_422
| ~ spl42_459 ),
inference(subsumption_resolution,[],[f3307,f2077]) ).
fof(f3307,plain,
( e5 != op(e1,e3)
| spl42_67
| ~ spl42_353
| ~ spl42_422
| ~ spl42_459 ),
inference(forward_demodulation,[],[f3306,f2574]) ).
fof(f3306,plain,
( op(e1,e3) != op(e4,e2)
| spl42_67
| ~ spl42_353
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3305,f2029]) ).
fof(f3305,plain,
( op(e1,e3) != op(op(e1,e2),e2)
| spl42_67
| ~ spl42_422 ),
inference(forward_demodulation,[],[f830,f2385]) ).
fof(f830,plain,
( op(op(e1,e2),e2) != op(e1,op(e2,e2))
| spl42_67 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f828,plain,
( spl42_67
<=> op(op(e1,e2),e2) = op(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).
fof(f3300,plain,
( ~ spl42_6
| spl42_66
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f3299]) ).
fof(f3299,plain,
( $false
| ~ spl42_6
| spl42_66
| ~ spl42_183 ),
inference(trivial_inequality_removal,[],[f3298]) ).
fof(f3298,plain,
( op(e4,e1) != op(e4,e1)
| ~ spl42_6
| spl42_66
| ~ spl42_183 ),
inference(forward_demodulation,[],[f3297,f1293]) ).
fof(f3297,plain,
( op(e4,e1) != op(e4,op(unit,e1))
| ~ spl42_6
| spl42_66 ),
inference(forward_demodulation,[],[f826,f576]) ).
fof(f826,plain,
( op(e4,op(unit,e1)) != op(op(e4,unit),e1)
| spl42_66 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f824,plain,
( spl42_66
<=> op(e4,op(unit,e1)) = op(op(e4,unit),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_66])]) ).
fof(f3296,plain,
( ~ spl42_16
| spl42_65
| ~ spl42_409
| ~ spl42_433
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3295]) ).
fof(f3295,plain,
( $false
| ~ spl42_16
| spl42_65
| ~ spl42_409
| ~ spl42_433
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3294,f622]) ).
fof(f3294,plain,
( op(e3,e2) != unit
| spl42_65
| ~ spl42_409
| ~ spl42_433
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3293,f2319]) ).
fof(f3293,plain,
( op(e3,e2) != op(e5,e4)
| spl42_65
| ~ spl42_433
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3292,f2441]) ).
fof(f3292,plain,
( op(e3,e2) != op(op(e3,e1),e4)
| spl42_65
| ~ spl42_478 ),
inference(forward_demodulation,[],[f822,f2673]) ).
fof(f822,plain,
( op(op(e3,e1),e4) != op(e3,op(e1,e4))
| spl42_65 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl42_65
<=> op(op(e3,e1),e4) = op(e3,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_65])]) ).
fof(f3288,plain,
( ~ spl42_62
| spl42_64
| ~ spl42_312
| ~ spl42_434
| ~ spl42_477 ),
inference(avatar_contradiction_clause,[],[f3287]) ).
fof(f3287,plain,
( $false
| ~ spl42_62
| spl42_64
| ~ spl42_312
| ~ spl42_434
| ~ spl42_477 ),
inference(subsumption_resolution,[],[f3286,f2668]) ).
fof(f3286,plain,
( e2 != op(e4,e1)
| ~ spl42_62
| spl42_64
| ~ spl42_312
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3285,f809]) ).
fof(f3285,plain,
( op(e4,e1) != op(unit,e2)
| spl42_64
| ~ spl42_312
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3284,f2446]) ).
fof(f3284,plain,
( op(e4,e1) != op(op(e4,e5),e2)
| spl42_64
| ~ spl42_312 ),
inference(forward_demodulation,[],[f818,f1814]) ).
fof(f818,plain,
( op(op(e4,e5),e2) != op(e4,op(e5,e2))
| spl42_64 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl42_64
<=> op(op(e4,e5),e2) = op(e4,op(e5,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).
fof(f3277,plain,
( spl42_63
| ~ spl42_378
| ~ spl42_433
| ~ spl42_434
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3276]) ).
fof(f3276,plain,
( $false
| spl42_63
| ~ spl42_378
| ~ spl42_433
| ~ spl42_434
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3275,f2620]) ).
fof(f3275,plain,
( op(e1,e1) != unit
| spl42_63
| ~ spl42_378
| ~ spl42_433
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3274,f2446]) ).
fof(f3274,plain,
( op(e1,e1) != op(e4,e5)
| spl42_63
| ~ spl42_378
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3273,f2158]) ).
fof(f3273,plain,
( op(e4,e5) != op(op(e4,e3),e1)
| spl42_63
| ~ spl42_433 ),
inference(forward_demodulation,[],[f814,f2441]) ).
fof(f814,plain,
( op(op(e4,e3),e1) != op(e4,op(e3,e1))
| spl42_63 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl42_63
<=> op(op(e4,e3),e1) = op(e4,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).
fof(f3272,plain,
( spl42_61
| ~ spl42_362
| ~ spl42_378
| ~ spl42_433
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3271]) ).
fof(f3271,plain,
( $false
| spl42_61
| ~ spl42_362
| ~ spl42_378
| ~ spl42_433
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3270,f2077]) ).
fof(f3270,plain,
( e5 != op(e1,e3)
| spl42_61
| ~ spl42_378
| ~ spl42_433
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3269,f2441]) ).
fof(f3269,plain,
( op(e1,e3) != op(e3,e1)
| spl42_61
| ~ spl42_378
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3268,f2883]) ).
fof(f3268,plain,
( op(e3,e1) != op(op(e3,e4),e3)
| spl42_61
| ~ spl42_378 ),
inference(forward_demodulation,[],[f806,f2158]) ).
fof(f806,plain,
( op(op(e3,e4),e3) != op(e3,op(e4,e3))
| spl42_61 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f804,plain,
( spl42_61
<=> op(op(e3,e4),e3) = op(e3,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_61])]) ).
fof(f3262,plain,
( spl42_59
| ~ spl42_172
| ~ spl42_305
| ~ spl42_459 ),
inference(avatar_contradiction_clause,[],[f3261]) ).
fof(f3261,plain,
( $false
| spl42_59
| ~ spl42_172
| ~ spl42_305
| ~ spl42_459 ),
inference(subsumption_resolution,[],[f3260,f2574]) ).
fof(f3260,plain,
( e5 != op(e4,e2)
| spl42_59
| ~ spl42_172
| ~ spl42_305
| ~ spl42_459 ),
inference(forward_demodulation,[],[f3259,f1781]) ).
fof(f3259,plain,
( op(e4,e2) != op(e5,unit)
| spl42_59
| ~ spl42_172
| ~ spl42_459 ),
inference(forward_demodulation,[],[f3258,f1249]) ).
fof(f3258,plain,
( op(e5,unit) != op(e4,op(e2,unit))
| spl42_59
| ~ spl42_459 ),
inference(forward_demodulation,[],[f798,f2574]) ).
fof(f798,plain,
( op(e4,op(e2,unit)) != op(op(e4,e2),unit)
| spl42_59 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl42_59
<=> op(e4,op(e2,unit)) = op(op(e4,e2),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_59])]) ).
fof(f3257,plain,
( spl42_58
| ~ spl42_70
| ~ spl42_115
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3256]) ).
fof(f3256,plain,
( $false
| spl42_58
| ~ spl42_70
| ~ spl42_115
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3255,f1021]) ).
fof(f3255,plain,
( e3 != op(unit,e3)
| spl42_58
| ~ spl42_70
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3254,f2936]) ).
fof(f3254,plain,
( op(e4,e4) != op(unit,op(e4,e4))
| spl42_58
| ~ spl42_70 ),
inference(forward_demodulation,[],[f794,f841]) ).
fof(f794,plain,
( op(unit,op(e4,e4)) != op(op(unit,e4),e4)
| spl42_58 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl42_58
<=> op(unit,op(e4,e4)) = op(op(unit,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_58])]) ).
fof(f3250,plain,
( spl42_57
| ~ spl42_172
| ~ spl42_422
| ~ spl42_516
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3249]) ).
fof(f3249,plain,
( $false
| spl42_57
| ~ spl42_172
| ~ spl42_422
| ~ spl42_516
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3248,f2888]) ).
fof(f3248,plain,
( e2 != op(e3,e3)
| spl42_57
| ~ spl42_172
| ~ spl42_422
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3247,f2385]) ).
fof(f3247,plain,
( e2 != op(op(e2,e2),e3)
| spl42_57
| ~ spl42_172
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3246,f1249]) ).
fof(f3246,plain,
( op(op(e2,e2),e3) != op(e2,unit)
| spl42_57
| ~ spl42_516 ),
inference(forward_demodulation,[],[f790,f2868]) ).
fof(f790,plain,
( op(op(e2,e2),e3) != op(e2,op(e2,e3))
| spl42_57 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl42_57
<=> op(op(e2,e2),e3) = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_57])]) ).
fof(f3243,plain,
( spl42_56
| ~ spl42_111
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f3242]) ).
fof(f3242,plain,
( $false
| spl42_56
| ~ spl42_111
| ~ spl42_198 ),
inference(subsumption_resolution,[],[f3241,f1005]) ).
fof(f3241,plain,
( e1 != op(e1,unit)
| spl42_56
| ~ spl42_111
| ~ spl42_198 ),
inference(forward_demodulation,[],[f3240,f1005]) ).
fof(f3240,plain,
( op(e1,unit) != op(op(e1,unit),unit)
| spl42_56
| ~ spl42_198 ),
inference(forward_demodulation,[],[f786,f1353]) ).
fof(f786,plain,
( op(op(e1,unit),unit) != op(e1,op(unit,unit))
| spl42_56 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f784,plain,
( spl42_56
<=> op(op(e1,unit),unit) = op(e1,op(unit,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).
fof(f3233,plain,
( spl42_55
| ~ spl42_312
| ~ spl42_366
| ~ spl42_378
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3232]) ).
fof(f3232,plain,
( $false
| spl42_55
| ~ spl42_312
| ~ spl42_366
| ~ spl42_378
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3231,f2158]) ).
fof(f3231,plain,
( e1 != op(e4,e3)
| spl42_55
| ~ spl42_312
| ~ spl42_366
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3230,f1814]) ).
fof(f3230,plain,
( op(e4,e3) != op(e5,e2)
| spl42_55
| ~ spl42_366
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3229,f2097]) ).
fof(f3229,plain,
( op(e5,e2) != op(op(e5,e3),e3)
| spl42_55
| ~ spl42_520 ),
inference(forward_demodulation,[],[f782,f2888]) ).
fof(f782,plain,
( op(op(e5,e3),e3) != op(e5,op(e3,e3))
| spl42_55 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl42_55
<=> op(op(e5,e3),e3) = op(e5,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).
fof(f3227,plain,
( ~ spl42_14
| spl42_54
| ~ spl42_312
| ~ spl42_314
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3226]) ).
fof(f3226,plain,
( $false
| ~ spl42_14
| spl42_54
| ~ spl42_312
| ~ spl42_314
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3225,f613]) ).
fof(f3225,plain,
( e3 != op(e1,e5)
| spl42_54
| ~ spl42_312
| ~ spl42_314
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3224,f1824]) ).
fof(f3224,plain,
( op(e1,e5) != op(e5,e1)
| spl42_54
| ~ spl42_312
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3223,f1814]) ).
fof(f3223,plain,
( op(e5,e1) != op(op(e5,e2),e5)
| spl42_54
| ~ spl42_522 ),
inference(forward_demodulation,[],[f778,f2899]) ).
fof(f778,plain,
( op(op(e5,e2),e5) != op(e5,op(e2,e5))
| spl42_54 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl42_54
<=> op(op(e5,e2),e5) = op(e5,op(e2,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_54])]) ).
fof(f3219,plain,
( spl42_53
| ~ spl42_70
| ~ spl42_111 ),
inference(avatar_contradiction_clause,[],[f3218]) ).
fof(f3218,plain,
( $false
| spl42_53
| ~ spl42_70
| ~ spl42_111 ),
inference(trivial_inequality_removal,[],[f3217]) ).
fof(f3217,plain,
( op(e1,e4) != op(e1,e4)
| spl42_53
| ~ spl42_70
| ~ spl42_111 ),
inference(forward_demodulation,[],[f3216,f841]) ).
fof(f3216,plain,
( op(e1,e4) != op(e1,op(unit,e4))
| spl42_53
| ~ spl42_111 ),
inference(forward_demodulation,[],[f774,f1005]) ).
fof(f774,plain,
( op(e1,op(unit,e4)) != op(op(e1,unit),e4)
| spl42_53 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f772,plain,
( spl42_53
<=> op(e1,op(unit,e4)) = op(op(e1,unit),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_53])]) ).
fof(f3215,plain,
( spl42_52
| ~ spl42_312
| ~ spl42_353
| ~ spl42_433
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3214]) ).
fof(f3214,plain,
( $false
| spl42_52
| ~ spl42_312
| ~ spl42_353
| ~ spl42_433
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3213,f2883]) ).
fof(f3213,plain,
( e1 != op(e3,e4)
| spl42_52
| ~ spl42_312
| ~ spl42_353
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3212,f1814]) ).
fof(f3212,plain,
( op(e3,e4) != op(e5,e2)
| spl42_52
| ~ spl42_353
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3211,f2441]) ).
fof(f3211,plain,
( op(e3,e4) != op(op(e3,e1),e2)
| spl42_52
| ~ spl42_353 ),
inference(forward_demodulation,[],[f770,f2029]) ).
fof(f770,plain,
( op(op(e3,e1),e2) != op(e3,op(e1,e2))
| spl42_52 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl42_52
<=> op(op(e3,e1),e2) = op(e3,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_52])]) ).
fof(f3208,plain,
( ~ spl42_6
| spl42_51
| ~ spl42_258
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3207]) ).
fof(f3207,plain,
( $false
| ~ spl42_6
| spl42_51
| ~ spl42_258
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3206,f1593]) ).
fof(f3206,plain,
( e3 != op(e3,unit)
| ~ spl42_6
| spl42_51
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3205,f2936]) ).
fof(f3205,plain,
( op(e4,e4) != op(op(e4,e4),unit)
| ~ spl42_6
| spl42_51 ),
inference(forward_demodulation,[],[f766,f576]) ).
fof(f766,plain,
( op(op(e4,e4),unit) != op(e4,op(e4,unit))
| spl42_51 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f764,plain,
( spl42_51
<=> op(op(e4,e4),unit) = op(e4,op(e4,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_51])]) ).
fof(f3201,plain,
( ~ spl42_14
| spl42_50
| ~ spl42_355
| ~ spl42_433
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3200]) ).
fof(f3200,plain,
( $false
| ~ spl42_14
| spl42_50
| ~ spl42_355
| ~ spl42_433
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3199,f2888]) ).
fof(f3199,plain,
( e2 != op(e3,e3)
| ~ spl42_14
| spl42_50
| ~ spl42_355
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3198,f2040]) ).
fof(f3198,plain,
( op(e3,e3) != op(e5,e5)
| ~ spl42_14
| spl42_50
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3197,f2441]) ).
fof(f3197,plain,
( op(e3,e3) != op(op(e3,e1),e5)
| ~ spl42_14
| spl42_50 ),
inference(forward_demodulation,[],[f762,f613]) ).
fof(f762,plain,
( op(op(e3,e1),e5) != op(e3,op(e1,e5))
| spl42_50 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl42_50
<=> op(op(e3,e1),e5) = op(e3,op(e1,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_50])]) ).
fof(f3192,plain,
( spl42_49
| ~ spl42_62
| ~ spl42_111 ),
inference(avatar_contradiction_clause,[],[f3191]) ).
fof(f3191,plain,
( $false
| spl42_49
| ~ spl42_62
| ~ spl42_111 ),
inference(trivial_inequality_removal,[],[f3190]) ).
fof(f3190,plain,
( op(e1,e2) != op(e1,e2)
| spl42_49
| ~ spl42_62
| ~ spl42_111 ),
inference(forward_demodulation,[],[f3189,f809]) ).
fof(f3189,plain,
( op(e1,e2) != op(e1,op(unit,e2))
| spl42_49
| ~ spl42_111 ),
inference(forward_demodulation,[],[f758,f1005]) ).
fof(f758,plain,
( op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| spl42_49 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f756,plain,
( spl42_49
<=> op(e1,op(unit,e2)) = op(op(e1,unit),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_49])]) ).
fof(f3185,plain,
( ~ spl42_6
| spl42_48
| ~ spl42_434
| ~ spl42_529
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3184]) ).
fof(f3184,plain,
( $false
| ~ spl42_6
| spl42_48
| ~ spl42_434
| ~ spl42_529
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3183,f2987]) ).
fof(f3183,plain,
( e4 != op(e3,e5)
| ~ spl42_6
| spl42_48
| ~ spl42_434
| ~ spl42_529 ),
inference(forward_demodulation,[],[f3182,f2936]) ).
fof(f3182,plain,
( e4 != op(op(e4,e4),e5)
| ~ spl42_6
| spl42_48
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3181,f576]) ).
fof(f3181,plain,
( op(op(e4,e4),e5) != op(e4,unit)
| spl42_48
| ~ spl42_434 ),
inference(forward_demodulation,[],[f754,f2446]) ).
fof(f754,plain,
( op(op(e4,e4),e5) != op(e4,op(e4,e5))
| spl42_48 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f752,plain,
( spl42_48
<=> op(op(e4,e4),e5) = op(e4,op(e4,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_48])]) ).
fof(f3178,plain,
( ~ spl42_16
| spl42_47
| ~ spl42_259
| ~ spl42_433
| ~ spl42_522 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3177,plain,
( $false
| ~ spl42_16
| spl42_47
| ~ spl42_259
| ~ spl42_433
| ~ spl42_522 ),
inference(subsumption_resolution,[],[f3176,f2441]) ).
fof(f3176,plain,
( e5 != op(e3,e1)
| ~ spl42_16
| spl42_47
| ~ spl42_259
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3175,f1597]) ).
fof(f3175,plain,
( op(e3,e1) != op(unit,e5)
| ~ spl42_16
| spl42_47
| ~ spl42_522 ),
inference(forward_demodulation,[],[f3174,f622]) ).
fof(f3174,plain,
( op(e3,e1) != op(op(e3,e2),e5)
| spl42_47
| ~ spl42_522 ),
inference(forward_demodulation,[],[f750,f2899]) ).
fof(f750,plain,
( op(op(e3,e2),e5) != op(e3,op(e2,e5))
| spl42_47 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f748,plain,
( spl42_47
<=> op(op(e3,e2),e5) = op(e3,op(e2,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_47])]) ).
fof(f3170,plain,
( spl42_46
| ~ spl42_115
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f3169]) ).
fof(f3169,plain,
( $false
| spl42_46
| ~ spl42_115
| ~ spl42_258 ),
inference(subsumption_resolution,[],[f3168,f1021]) ).
fof(f3168,plain,
( e3 != op(unit,e3)
| spl42_46
| ~ spl42_115
| ~ spl42_258 ),
inference(forward_demodulation,[],[f3167,f1593]) ).
fof(f3167,plain,
( op(e3,unit) != op(unit,op(e3,unit))
| spl42_46
| ~ spl42_115 ),
inference(forward_demodulation,[],[f746,f1021]) ).
fof(f746,plain,
( op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| spl42_46 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl42_46
<=> op(unit,op(e3,unit)) = op(op(unit,e3),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_46])]) ).
fof(f3166,plain,
( spl42_45
| ~ spl42_305
| ~ spl42_314
| ~ spl42_433
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3165]) ).
fof(f3165,plain,
( $false
| spl42_45
| ~ spl42_305
| ~ spl42_314
| ~ spl42_433
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3164,f2441]) ).
fof(f3164,plain,
( e5 != op(e3,e1)
| spl42_45
| ~ spl42_305
| ~ spl42_314
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3163,f1824]) ).
fof(f3163,plain,
( e5 != op(op(e5,e1),e1)
| spl42_45
| ~ spl42_305
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3162,f1781]) ).
fof(f3162,plain,
( op(op(e5,e1),e1) != op(e5,unit)
| spl42_45
| ~ spl42_468 ),
inference(forward_demodulation,[],[f742,f2620]) ).
fof(f742,plain,
( op(op(e5,e1),e1) != op(e5,op(e1,e1))
| spl42_45 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f740,plain,
( spl42_45
<=> op(op(e5,e1),e1) = op(e5,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_45])]) ).
fof(f3156,plain,
( ~ spl42_14
| spl42_44
| ~ spl42_258
| ~ spl42_305 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
fof(f3155,plain,
( $false
| ~ spl42_14
| spl42_44
| ~ spl42_258
| ~ spl42_305 ),
inference(subsumption_resolution,[],[f3154,f1593]) ).
fof(f3154,plain,
( e3 != op(e3,unit)
| ~ spl42_14
| spl42_44
| ~ spl42_305 ),
inference(forward_demodulation,[],[f3153,f613]) ).
fof(f3153,plain,
( op(e1,e5) != op(op(e1,e5),unit)
| spl42_44
| ~ spl42_305 ),
inference(forward_demodulation,[],[f738,f1781]) ).
fof(f738,plain,
( op(op(e1,e5),unit) != op(e1,op(e5,unit))
| spl42_44 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl42_44
<=> op(op(e1,e5),unit) = op(e1,op(e5,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_44])]) ).
fof(f3152,plain,
( ~ spl42_16
| spl42_43
| ~ spl42_62
| ~ spl42_422
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3151]) ).
fof(f3151,plain,
( $false
| ~ spl42_16
| spl42_43
| ~ spl42_62
| ~ spl42_422
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3150,f2888]) ).
fof(f3150,plain,
( e2 != op(e3,e3)
| ~ spl42_16
| spl42_43
| ~ spl42_62
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3149,f809]) ).
fof(f3149,plain,
( op(e3,e3) != op(unit,e2)
| ~ spl42_16
| spl42_43
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3148,f622]) ).
fof(f3148,plain,
( op(e3,e3) != op(op(e3,e2),e2)
| spl42_43
| ~ spl42_422 ),
inference(forward_demodulation,[],[f734,f2385]) ).
fof(f734,plain,
( op(op(e3,e2),e2) != op(e3,op(e2,e2))
| spl42_43 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f732,plain,
( spl42_43
<=> op(op(e3,e2),e2) = op(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_43])]) ).
fof(f3142,plain,
( spl42_42
| ~ spl42_62
| ~ spl42_198
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3141]) ).
fof(f3141,plain,
( $false
| spl42_42
| ~ spl42_62
| ~ spl42_198
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3140,f1353]) ).
fof(f3140,plain,
( unit != op(unit,unit)
| spl42_42
| ~ spl42_62
| ~ spl42_516 ),
inference(forward_demodulation,[],[f3139,f2868]) ).
fof(f3139,plain,
( op(e2,e3) != op(unit,op(e2,e3))
| spl42_42
| ~ spl42_62 ),
inference(forward_demodulation,[],[f730,f809]) ).
fof(f730,plain,
( op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| spl42_42 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl42_42
<=> op(unit,op(e2,e3)) = op(op(unit,e2),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_42])]) ).
fof(f3137,plain,
( spl42_41
| ~ spl42_183
| ~ spl42_314
| ~ spl42_378
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f3136]) ).
fof(f3136,plain,
( $false
| spl42_41
| ~ spl42_183
| ~ spl42_314
| ~ spl42_378
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f3135,f2158]) ).
fof(f3135,plain,
( e1 != op(e4,e3)
| spl42_41
| ~ spl42_183
| ~ spl42_314
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3134,f1293]) ).
fof(f3134,plain,
( op(e4,e3) != op(unit,e1)
| spl42_41
| ~ spl42_314
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3133,f2446]) ).
fof(f3133,plain,
( op(e4,e3) != op(op(e4,e5),e1)
| spl42_41
| ~ spl42_314 ),
inference(forward_demodulation,[],[f726,f1824]) ).
fof(f726,plain,
( op(op(e4,e5),e1) != op(e4,op(e5,e1))
| spl42_41 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl42_41
<=> op(op(e4,e5),e1) = op(e4,op(e5,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_41])]) ).
fof(f3130,plain,
( spl42_40
| ~ spl42_62
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f3129]) ).
fof(f3129,plain,
( $false
| spl42_40
| ~ spl42_62
| ~ spl42_198 ),
inference(trivial_inequality_removal,[],[f3128]) ).
fof(f3128,plain,
( op(unit,e2) != op(unit,e2)
| spl42_40
| ~ spl42_62
| ~ spl42_198 ),
inference(forward_demodulation,[],[f3127,f1353]) ).
fof(f3127,plain,
( op(unit,e2) != op(op(unit,unit),e2)
| spl42_40
| ~ spl42_62 ),
inference(forward_demodulation,[],[f722,f809]) ).
fof(f722,plain,
( op(op(unit,unit),e2) != op(unit,op(unit,e2))
| spl42_40 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f720,plain,
( spl42_40
<=> op(op(unit,unit),e2) = op(unit,op(unit,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_40])]) ).
fof(f3126,plain,
( spl42_39
| ~ spl42_111
| ~ spl42_198
| ~ spl42_468 ),
inference(avatar_contradiction_clause,[],[f3125]) ).
fof(f3125,plain,
( $false
| spl42_39
| ~ spl42_111
| ~ spl42_198
| ~ spl42_468 ),
inference(subsumption_resolution,[],[f3124,f1353]) ).
fof(f3124,plain,
( unit != op(unit,unit)
| spl42_39
| ~ spl42_111
| ~ spl42_468 ),
inference(forward_demodulation,[],[f3123,f2620]) ).
fof(f3123,plain,
( op(e1,e1) != op(op(e1,e1),unit)
| spl42_39
| ~ spl42_111 ),
inference(forward_demodulation,[],[f718,f1005]) ).
fof(f718,plain,
( op(op(e1,e1),unit) != op(e1,op(e1,unit))
| spl42_39 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl42_39
<=> op(op(e1,e1),unit) = op(e1,op(e1,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_39])]) ).
fof(f3116,plain,
( spl42_38
| ~ spl42_62
| ~ spl42_115
| ~ spl42_422 ),
inference(avatar_contradiction_clause,[],[f3115]) ).
fof(f3115,plain,
( $false
| spl42_38
| ~ spl42_62
| ~ spl42_115
| ~ spl42_422 ),
inference(subsumption_resolution,[],[f3114,f2385]) ).
fof(f3114,plain,
( e3 != op(e2,e2)
| spl42_38
| ~ spl42_62
| ~ spl42_115
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3113,f1021]) ).
fof(f3113,plain,
( op(e2,e2) != op(unit,e3)
| spl42_38
| ~ spl42_62
| ~ spl42_422 ),
inference(forward_demodulation,[],[f3112,f809]) ).
fof(f3112,plain,
( op(unit,e3) != op(op(unit,e2),e2)
| spl42_38
| ~ spl42_422 ),
inference(forward_demodulation,[],[f714,f2385]) ).
fof(f714,plain,
( op(op(unit,e2),e2) != op(unit,op(e2,e2))
| spl42_38 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f712,plain,
( spl42_38
<=> op(op(unit,e2),e2) = op(unit,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_38])]) ).
fof(f3111,plain,
( spl42_37
| ~ spl42_362
| ~ spl42_366
| ~ spl42_433
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3110]) ).
fof(f3110,plain,
( $false
| spl42_37
| ~ spl42_362
| ~ spl42_366
| ~ spl42_433
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3109,f2987]) ).
fof(f3109,plain,
( e4 != op(e3,e5)
| spl42_37
| ~ spl42_362
| ~ spl42_366
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3108,f2097]) ).
fof(f3108,plain,
( op(e3,e5) != op(e5,e3)
| spl42_37
| ~ spl42_362
| ~ spl42_433 ),
inference(forward_demodulation,[],[f3107,f2441]) ).
fof(f3107,plain,
( op(e3,e5) != op(op(e3,e1),e3)
| spl42_37
| ~ spl42_362 ),
inference(forward_demodulation,[],[f710,f2077]) ).
fof(f710,plain,
( op(op(e3,e1),e3) != op(e3,op(e1,e3))
| spl42_37 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl42_37
<=> op(op(e3,e1),e3) = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_37])]) ).
fof(f3104,plain,
( spl42_36
| ~ spl42_111
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f3103]) ).
fof(f3103,plain,
( $false
| spl42_36
| ~ spl42_111
| ~ spl42_183 ),
inference(subsumption_resolution,[],[f3102,f1293]) ).
fof(f3102,plain,
( e1 != op(unit,e1)
| spl42_36
| ~ spl42_111 ),
inference(forward_demodulation,[],[f706,f1005]) ).
fof(f706,plain,
( op(unit,e1) != op(e1,unit)
| spl42_36 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl42_36
<=> op(unit,e1) = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_36])]) ).
fof(f3101,plain,
( spl42_35
| ~ spl42_111
| ~ spl42_259 ),
inference(avatar_contradiction_clause,[],[f3100]) ).
fof(f3100,plain,
( $false
| spl42_35
| ~ spl42_111
| ~ spl42_259 ),
inference(trivial_inequality_removal,[],[f3099]) ).
fof(f3099,plain,
( op(e1,e5) != op(e1,e5)
| spl42_35
| ~ spl42_111
| ~ spl42_259 ),
inference(forward_demodulation,[],[f3098,f1005]) ).
fof(f3098,plain,
( op(e1,e5) != op(op(e1,unit),e5)
| spl42_35
| ~ spl42_259 ),
inference(forward_demodulation,[],[f702,f1597]) ).
fof(f702,plain,
( op(op(e1,unit),e5) != op(e1,op(unit,e5))
| spl42_35 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f700,plain,
( spl42_35
<=> op(op(e1,unit),e5) = op(e1,op(unit,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_35])]) ).
fof(f3093,plain,
( spl42_34
| ~ spl42_366
| ~ spl42_539 ),
inference(avatar_contradiction_clause,[],[f3092]) ).
fof(f3092,plain,
( $false
| spl42_34
| ~ spl42_366
| ~ spl42_539 ),
inference(subsumption_resolution,[],[f3091,f2987]) ).
fof(f3091,plain,
( e4 != op(e3,e5)
| spl42_34
| ~ spl42_366 ),
inference(forward_demodulation,[],[f698,f2097]) ).
fof(f698,plain,
( op(e3,e5) != op(e5,e3)
| spl42_34 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl42_34
<=> op(e3,e5) = op(e5,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_34])]) ).
fof(f3087,plain,
( spl42_32
| ~ spl42_366
| ~ spl42_373
| ~ spl42_378
| ~ spl42_464 ),
inference(avatar_contradiction_clause,[],[f3086]) ).
fof(f3086,plain,
( $false
| spl42_32
| ~ spl42_366
| ~ spl42_373
| ~ spl42_378
| ~ spl42_464 ),
inference(subsumption_resolution,[],[f3085,f2133]) ).
fof(f3085,plain,
( e4 != op(e2,e1)
| spl42_32
| ~ spl42_366
| ~ spl42_378
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3084,f2097]) ).
fof(f3084,plain,
( op(e2,e1) != op(e5,e3)
| spl42_32
| ~ spl42_378
| ~ spl42_464 ),
inference(forward_demodulation,[],[f3083,f2600]) ).
fof(f3083,plain,
( op(e2,e1) != op(op(e2,e4),e3)
| spl42_32
| ~ spl42_378 ),
inference(forward_demodulation,[],[f690,f2158]) ).
fof(f690,plain,
( op(op(e2,e4),e3) != op(e2,op(e4,e3))
| spl42_32 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl42_32
<=> op(op(e2,e4),e3) = op(e2,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_32])]) ).
fof(f3082,plain,
( spl42_31
| ~ spl42_259
| ~ spl42_305
| ~ spl42_409
| ~ spl42_434 ),
inference(avatar_contradiction_clause,[],[f3081]) ).
fof(f3081,plain,
( $false
| spl42_31
| ~ spl42_259
| ~ spl42_305
| ~ spl42_409
| ~ spl42_434 ),
inference(subsumption_resolution,[],[f3080,f1597]) ).
fof(f3080,plain,
( e5 != op(unit,e5)
| spl42_31
| ~ spl42_305
| ~ spl42_409
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3079,f2319]) ).
fof(f3079,plain,
( e5 != op(op(e5,e4),e5)
| spl42_31
| ~ spl42_305
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3078,f1781]) ).
fof(f3078,plain,
( op(op(e5,e4),e5) != op(e5,unit)
| spl42_31
| ~ spl42_434 ),
inference(forward_demodulation,[],[f686,f2446]) ).
fof(f686,plain,
( op(op(e5,e4),e5) != op(e5,op(e4,e5))
| spl42_31 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl42_31
<=> op(op(e5,e4),e5) = op(e5,op(e4,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_31])]) ).
fof(f3074,plain,
( spl42_30
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f3073]) ).
fof(f3073,plain,
( $false
| spl42_30
| ~ spl42_198 ),
inference(trivial_inequality_removal,[],[f3072]) ).
fof(f3072,plain,
( op(unit,unit) != op(unit,unit)
| spl42_30
| ~ spl42_198 ),
inference(forward_demodulation,[],[f682,f1353]) ).
fof(f682,plain,
( op(unit,op(unit,unit)) != op(op(unit,unit),unit)
| spl42_30 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl42_30
<=> op(unit,op(unit,unit)) = op(op(unit,unit),unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).
fof(f3071,plain,
( spl42_29
| ~ spl42_115
| ~ spl42_366
| ~ spl42_434
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f3070]) ).
fof(f3070,plain,
( $false
| spl42_29
| ~ spl42_115
| ~ spl42_366
| ~ spl42_434
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f3069,f2936]) ).
fof(f3069,plain,
( e3 != op(e4,e4)
| spl42_29
| ~ spl42_115
| ~ spl42_366
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3068,f1021]) ).
fof(f3068,plain,
( op(e4,e4) != op(unit,e3)
| spl42_29
| ~ spl42_366
| ~ spl42_434 ),
inference(forward_demodulation,[],[f3067,f2446]) ).
fof(f3067,plain,
( op(e4,e4) != op(op(e4,e5),e3)
| spl42_29
| ~ spl42_366 ),
inference(forward_demodulation,[],[f678,f2097]) ).
fof(f678,plain,
( op(op(e4,e5),e3) != op(e4,op(e5,e3))
| spl42_29 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl42_29
<=> op(op(e4,e5),e3) = op(e4,op(e5,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_29])]) ).
fof(f3064,plain,
( spl42_28
| ~ spl42_198
| ~ spl42_259 ),
inference(avatar_contradiction_clause,[],[f3063]) ).
fof(f3063,plain,
( $false
| spl42_28
| ~ spl42_198
| ~ spl42_259 ),
inference(trivial_inequality_removal,[],[f3062]) ).
fof(f3062,plain,
( op(unit,e5) != op(unit,e5)
| spl42_28
| ~ spl42_198
| ~ spl42_259 ),
inference(forward_demodulation,[],[f3061,f1353]) ).
fof(f3061,plain,
( op(unit,e5) != op(op(unit,unit),e5)
| spl42_28
| ~ spl42_259 ),
inference(forward_demodulation,[],[f674,f1597]) ).
fof(f674,plain,
( op(op(unit,unit),e5) != op(unit,op(unit,e5))
| spl42_28 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl42_28
<=> op(op(unit,unit),e5) = op(unit,op(unit,e5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).
fof(f3060,plain,
( spl42_27
| ~ spl42_172
| ~ spl42_259 ),
inference(avatar_contradiction_clause,[],[f3059]) ).
fof(f3059,plain,
( $false
| spl42_27
| ~ spl42_172
| ~ spl42_259 ),
inference(trivial_inequality_removal,[],[f3058]) ).
fof(f3058,plain,
( op(e2,e5) != op(e2,e5)
| spl42_27
| ~ spl42_172
| ~ spl42_259 ),
inference(forward_demodulation,[],[f3057,f1597]) ).
fof(f3057,plain,
( op(e2,e5) != op(e2,op(unit,e5))
| spl42_27
| ~ spl42_172 ),
inference(forward_demodulation,[],[f670,f1249]) ).
fof(f670,plain,
( op(e2,op(unit,e5)) != op(op(e2,unit),e5)
| spl42_27 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl42_27
<=> op(e2,op(unit,e5)) = op(op(e2,unit),e5) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).
fof(f3050,plain,
( spl42_26
| ~ spl42_353
| ~ spl42_373
| ~ spl42_477
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3049]) ).
fof(f3049,plain,
( $false
| spl42_26
| ~ spl42_353
| ~ spl42_373
| ~ spl42_477
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3048,f2029]) ).
fof(f3048,plain,
( e4 != op(e1,e2)
| spl42_26
| ~ spl42_373
| ~ spl42_477
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3047,f2133]) ).
fof(f3047,plain,
( op(e1,e2) != op(e2,e1)
| spl42_26
| ~ spl42_477
| ~ spl42_478 ),
inference(forward_demodulation,[],[f3046,f2673]) ).
fof(f3046,plain,
( op(e1,e2) != op(op(e1,e4),e1)
| spl42_26
| ~ spl42_477 ),
inference(forward_demodulation,[],[f666,f2668]) ).
fof(f666,plain,
( op(op(e1,e4),e1) != op(e1,op(e4,e1))
| spl42_26 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl42_26
<=> op(op(e1,e4),e1) = op(e1,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).
fof(f3044,plain,
( ~ spl42_16
| spl42_24
| ~ spl42_468
| ~ spl42_477
| ~ spl42_519 ),
inference(avatar_contradiction_clause,[],[f3043]) ).
fof(f3043,plain,
( $false
| ~ spl42_16
| spl42_24
| ~ spl42_468
| ~ spl42_477
| ~ spl42_519 ),
inference(subsumption_resolution,[],[f3042,f2620]) ).
fof(f3042,plain,
( op(e1,e1) != unit
| ~ spl42_16
| spl42_24
| ~ spl42_477
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3041,f622]) ).
fof(f3041,plain,
( op(e1,e1) != op(e3,e2)
| spl42_24
| ~ spl42_477
| ~ spl42_519 ),
inference(forward_demodulation,[],[f3040,f2883]) ).
fof(f3040,plain,
( op(e3,e2) != op(op(e3,e4),e1)
| spl42_24
| ~ spl42_477 ),
inference(forward_demodulation,[],[f658,f2668]) ).
fof(f658,plain,
( op(op(e3,e4),e1) != op(e3,op(e4,e1))
| spl42_24 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f656,plain,
( spl42_24
<=> op(op(e3,e4),e1) = op(e3,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f3039,plain,
( spl42_23
| ~ spl42_413
| ~ spl42_516 ),
inference(avatar_contradiction_clause,[],[f3038]) ).
fof(f3038,plain,
( $false
| spl42_23
| ~ spl42_413
| ~ spl42_516 ),
inference(subsumption_resolution,[],[f3037,f2868]) ).
fof(f3037,plain,
( op(e2,e3) != unit
| spl42_23
| ~ spl42_413 ),
inference(forward_demodulation,[],[f654,f2339]) ).
fof(f654,plain,
( unit != op(inv(e3),e3)
| spl42_23 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl42_23
<=> unit = op(inv(e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_23])]) ).
fof(f3033,plain,
( spl42_22
| ~ spl42_62
| ~ spl42_115
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f3032]) ).
fof(f3032,plain,
( $false
| spl42_22
| ~ spl42_62
| ~ spl42_115
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f3031,f2888]) ).
fof(f3031,plain,
( e2 != op(e3,e3)
| spl42_22
| ~ spl42_62
| ~ spl42_115
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3030,f809]) ).
fof(f3030,plain,
( op(e3,e3) != op(unit,e2)
| spl42_22
| ~ spl42_115
| ~ spl42_520 ),
inference(forward_demodulation,[],[f3029,f1021]) ).
fof(f3029,plain,
( op(unit,e2) != op(op(unit,e3),e3)
| spl42_22
| ~ spl42_520 ),
inference(forward_demodulation,[],[f650,f2888]) ).
fof(f650,plain,
( op(op(unit,e3),e3) != op(unit,op(e3,e3))
| spl42_22 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f648,plain,
( spl42_22
<=> op(op(unit,e3),e3) = op(unit,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_22])]) ).
fof(f3027,plain,
( spl42_33
| ~ spl42_477
| ~ spl42_478 ),
inference(avatar_contradiction_clause,[],[f3026]) ).
fof(f3026,plain,
( $false
| spl42_33
| ~ spl42_477
| ~ spl42_478 ),
inference(subsumption_resolution,[],[f3025,f2673]) ).
fof(f3025,plain,
( e2 != op(e1,e4)
| spl42_33
| ~ spl42_477 ),
inference(forward_demodulation,[],[f694,f2668]) ).
fof(f694,plain,
( op(e1,e4) != op(e4,e1)
| spl42_33 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f692,plain,
( spl42_33
<=> op(e1,e4) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_33])]) ).
fof(f3024,plain,
spl42_434,
inference(avatar_split_clause,[],[f415,f2445]) ).
fof(f415,plain,
op(e4,e5) = unit,
inference(definition_unfolding,[],[f142,f108]) ).
fof(f108,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f142,plain,
e0 = op(e4,e5),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e4 = op(e0,e4)
& e4 = op(e1,e2)
& e0 = op(e4,e5)
& e2 = op(e1,e4)
& e1 = op(e0,e1)
& e1 = op(e5,e2)
& e5 = op(e1,e3)
& e4 = op(e4,e0)
& e1 = op(e2,e5)
& e3 = op(e4,e4)
& e5 = op(e5,e0)
& e0 = op(e3,e2)
& e5 = op(e2,e4)
& e0 = op(e2,e3)
& e3 = op(e2,e2)
& e0 = op(e0,e0)
& e0 = op(e1,e1)
& e3 = op(e0,e3)
& e2 = op(e4,e1)
& e5 = op(e4,e2)
& e2 = op(e3,e3)
& e5 = op(e3,e1)
& e4 = op(e2,e1)
& e4 = op(e3,e5)
& e1 = op(e1,e0)
& e1 = op(e4,e3)
& e1 = op(e3,e4)
& e3 = op(e3,e0)
& e0 = op(e5,e4)
& e2 = op(e5,e5)
& e5 = op(e0,e5)
& e2 = op(e2,e0)
& e2 = op(e0,e2)
& e3 = op(e5,e1)
& e3 = op(e1,e5)
& e4 = op(e5,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3023,plain,
spl42_478,
inference(avatar_split_clause,[],[f141,f2672]) ).
fof(f141,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3022,plain,
spl42_362,
inference(avatar_split_clause,[],[f138,f2076]) ).
fof(f138,plain,
e5 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3021,plain,
spl42_522,
inference(avatar_split_clause,[],[f136,f2898]) ).
fof(f136,plain,
e1 = op(e2,e5),
inference(cnf_transformation,[],[f2]) ).
fof(f3020,plain,
spl42_529,
inference(avatar_split_clause,[],[f135,f2935]) ).
fof(f135,plain,
e3 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3019,plain,
spl42_464,
inference(avatar_split_clause,[],[f132,f2599]) ).
fof(f132,plain,
e5 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3018,plain,
spl42_422,
inference(avatar_split_clause,[],[f130,f2384]) ).
fof(f130,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3017,plain,
spl42_477,
inference(avatar_split_clause,[],[f126,f2667]) ).
fof(f126,plain,
e2 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f3016,plain,
spl42_459,
inference(avatar_split_clause,[],[f125,f2573]) ).
fof(f125,plain,
e5 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3015,plain,
spl42_520,
inference(avatar_split_clause,[],[f124,f2887]) ).
fof(f124,plain,
e2 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3014,plain,
spl42_373,
inference(avatar_split_clause,[],[f122,f2132]) ).
fof(f122,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f3013,plain,
spl42_539,
inference(avatar_split_clause,[],[f121,f2986]) ).
fof(f121,plain,
e4 = op(e3,e5),
inference(cnf_transformation,[],[f2]) ).
fof(f3012,plain,
spl42_519,
inference(avatar_split_clause,[],[f118,f2882]) ).
fof(f118,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3011,plain,
spl42_366,
inference(avatar_split_clause,[],[f109,f2096]) ).
fof(f109,plain,
e4 = op(e5,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3010,plain,
spl42_527,
inference(avatar_split_clause,[],[f408,f2925]) ).
fof(f408,plain,
e3 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e3 = inv(e2)
& e4 = inv(e5)
& e2 = inv(e3)
& e1 = inv(e1)
& e5 = inv(e4)
& e0 = inv(e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3009,plain,
spl42_419,
inference(avatar_split_clause,[],[f407,f2369]) ).
fof(f407,plain,
e4 = inv(e5),
inference(cnf_transformation,[],[f4]) ).
fof(f3008,plain,
spl42_399,
inference(avatar_split_clause,[],[f404,f2268]) ).
fof(f404,plain,
e5 = inv(e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3005,plain,
spl42_484,
inference(avatar_split_clause,[],[f538,f2704]) ).
fof(f538,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f403,f108,f108]) ).
fof(f403,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2989,plain,
( ~ spl42_143
| ~ spl42_539 ),
inference(avatar_split_clause,[],[f236,f2986,f1132]) ).
fof(f1132,plain,
( spl42_143
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).
fof(f236,plain,
( e4 != op(e3,e5)
| ~ sP26 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e1 != op(e3,e5)
& e5 != op(e3,e5)
& e0 != op(e3,e5)
& e3 != op(e3,e5)
& e4 != op(e3,e5)
& e2 != op(e3,e5) )
| ~ sP26 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e1 != op(e3,e5)
& e5 != op(e3,e5)
& e0 != op(e3,e5)
& e3 != op(e3,e5)
& e4 != op(e3,e5)
& e2 != op(e3,e5) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f2954,plain,
spl42_409,
inference(avatar_split_clause,[],[f426,f2318]) ).
fof(f426,plain,
op(e5,e4) = unit,
inference(definition_unfolding,[],[f116,f108]) ).
fof(f116,plain,
e0 = op(e5,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2938,plain,
( ~ spl42_84
| ~ spl42_529 ),
inference(avatar_split_clause,[],[f224,f2935,f896]) ).
fof(f896,plain,
( spl42_84
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).
fof(f224,plain,
( e3 != op(e4,e4)
| ~ sP28 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e4 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e3 != op(e4,e4)
& e5 != op(e4,e4) )
| ~ sP28 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e4 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e3 != op(e4,e4)
& e5 != op(e4,e4) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f2928,plain,
( ~ spl42_220
| ~ spl42_527 ),
inference(avatar_split_clause,[],[f165,f2925,f1440]) ).
fof(f1440,plain,
( spl42_220
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).
fof(f165,plain,
( e3 != inv(e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e4 != inv(e2)
& e2 != inv(e2)
& e5 != inv(e2)
& e3 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2) )
| ~ sP38 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e4 != inv(e2)
& e2 != inv(e2)
& e5 != inv(e2)
& e3 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f2923,plain,
spl42_259,
inference(avatar_split_clause,[],[f427,f1596]) ).
fof(f427,plain,
e5 = op(unit,e5),
inference(definition_unfolding,[],[f114,f108]) ).
fof(f114,plain,
e5 = op(e0,e5),
inference(cnf_transformation,[],[f2]) ).
fof(f2907,plain,
spl42_516,
inference(avatar_split_clause,[],[f420,f2867]) ).
fof(f420,plain,
op(e2,e3) = unit,
inference(definition_unfolding,[],[f131,f108]) ).
fof(f131,plain,
e0 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2901,plain,
( ~ spl42_25
| ~ spl42_522 ),
inference(avatar_split_clause,[],[f363,f2898,f660]) ).
fof(f660,plain,
( spl42_25
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).
fof(f363,plain,
( e1 != op(e2,e5)
| ~ sP5 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e5 != op(e2,e5)
& e4 != op(e2,e5)
& e2 != op(e2,e5)
& e1 != op(e2,e5)
& e3 != op(e2,e5)
& e0 != op(e2,e5) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e5 != op(e2,e5)
& e4 != op(e2,e5)
& e2 != op(e2,e5)
& e1 != op(e2,e5)
& e3 != op(e2,e5)
& e0 != op(e2,e5) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2891,plain,
spl42_433,
inference(avatar_split_clause,[],[f123,f2440]) ).
fof(f123,plain,
e5 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2890,plain,
( ~ spl42_85
| ~ spl42_520 ),
inference(avatar_split_clause,[],[f146,f2887,f900]) ).
fof(f900,plain,
( spl42_85
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).
fof(f146,plain,
( e2 != op(e3,e3)
| ~ sP41 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e5 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP41 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e5 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3)
& e4 != op(e3,e3) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f2885,plain,
( ~ spl42_243
| ~ spl42_519 ),
inference(avatar_split_clause,[],[f249,f2882,f1532]) ).
fof(f1532,plain,
( spl42_243
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_243])]) ).
fof(f249,plain,
( e1 != op(e3,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e3 != op(e3,e4)
& e5 != op(e3,e4)
& e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP24 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e3 != op(e3,e4)
& e5 != op(e3,e4)
& e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e4 != op(e3,e4) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f2870,plain,
( ~ spl42_245
| ~ spl42_516 ),
inference(avatar_split_clause,[],[f522,f2867,f1540]) ).
fof(f1540,plain,
( spl42_245
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_245])]) ).
fof(f522,plain,
( op(e2,e3) != unit
| ~ sP4 ),
inference(definition_unfolding,[],[f372,f108]) ).
fof(f372,plain,
( e0 != op(e2,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e0 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e5 != op(e2,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e0 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e5 != op(e2,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2808,plain,
spl42_468,
inference(avatar_split_clause,[],[f422,f2619]) ).
fof(f422,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f128,f108]) ).
fof(f128,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2707,plain,
( ~ spl42_21
| ~ spl42_484 ),
inference(avatar_split_clause,[],[f495,f2704,f643]) ).
fof(f643,plain,
( spl42_21
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).
fof(f495,plain,
( unit != inv(unit)
| ~ sP15 ),
inference(definition_unfolding,[],[f302,f108,f108]) ).
fof(f302,plain,
( e0 != inv(e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e5 != inv(e0)
& e1 != inv(e0)
& e3 != inv(e0)
& e4 != inv(e0)
& e0 != inv(e0)
& e2 != inv(e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e5 != inv(e0)
& e1 != inv(e0)
& e3 != inv(e0)
& e4 != inv(e0)
& e0 != inv(e0)
& e2 != inv(e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f2697,plain,
( ~ spl42_11
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f451,f1292,f598]) ).
fof(f598,plain,
( spl42_11
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).
fof(f451,plain,
( e1 != op(unit,e1)
| ~ sP35 ),
inference(definition_unfolding,[],[f181,f108]) ).
fof(f181,plain,
( e1 != op(e0,e1)
| ~ sP35 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 != op(e0,e1)
& e5 != op(e0,e1)
& e4 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e1 != op(e0,e1) )
| ~ sP35 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e0 != op(e0,e1)
& e5 != op(e0,e1)
& e4 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e1 != op(e0,e1) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f2681,plain,
spl42_372,
inference(avatar_split_clause,[],[f405,f2127]) ).
fof(f405,plain,
e1 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2675,plain,
( ~ spl42_478
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f216,f1520,f2672]) ).
fof(f1520,plain,
( spl42_240
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_240])]) ).
fof(f216,plain,
( ~ sP30
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e2 != op(e1,e4)
& e5 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4)
& e0 != op(e1,e4)
& e1 != op(e1,e4) )
| ~ sP30 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e2 != op(e1,e4)
& e5 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4)
& e0 != op(e1,e4)
& e1 != op(e1,e4) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f2670,plain,
( ~ spl42_477
| ~ spl42_301 ),
inference(avatar_split_clause,[],[f202,f1764,f2667]) ).
fof(f1764,plain,
( spl42_301
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_301])]) ).
fof(f202,plain,
( ~ sP32
| e2 != op(e4,e1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 != op(e4,e1)
& e4 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e1 != op(e4,e1)
& e5 != op(e4,e1) )
| ~ sP32 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e0 != op(e4,e1)
& e4 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e1 != op(e4,e1)
& e5 != op(e4,e1) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f2660,plain,
spl42_312,
inference(avatar_split_clause,[],[f139,f1813]) ).
fof(f139,plain,
e1 = op(e5,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2639,plain,
spl42_353,
inference(avatar_split_clause,[],[f143,f2028]) ).
fof(f143,plain,
e4 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2623,plain,
spl42_305,
inference(avatar_split_clause,[],[f418,f1780]) ).
fof(f418,plain,
e5 = op(e5,unit),
inference(definition_unfolding,[],[f134,f108]) ).
fof(f134,plain,
e5 = op(e5,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2622,plain,
( ~ spl42_468
| ~ spl42_177 ),
inference(avatar_split_clause,[],[f452,f1268,f2619]) ).
fof(f1268,plain,
( spl42_177
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).
fof(f452,plain,
( ~ sP34
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f190,f108]) ).
fof(f190,plain,
( e0 != op(e1,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e1 != op(e1,e1)
& e3 != op(e1,e1)
& e0 != op(e1,e1)
& e4 != op(e1,e1)
& e5 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP34 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e1 != op(e1,e1)
& e3 != op(e1,e1)
& e0 != op(e1,e1)
& e4 != op(e1,e1)
& e5 != op(e1,e1)
& e2 != op(e1,e1) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f2602,plain,
( ~ spl42_113
| ~ spl42_464 ),
inference(avatar_split_clause,[],[f178,f2599,f1012]) ).
fof(f1012,plain,
( spl42_113
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_113])]) ).
fof(f178,plain,
( e5 != op(e2,e4)
| ~ sP36 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e1 != op(e2,e4)
& e4 != op(e2,e4)
& e5 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4) )
| ~ sP36 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(e2,e4)
& e4 != op(e2,e4)
& e5 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f2597,plain,
spl42_413,
inference(avatar_split_clause,[],[f406,f2338]) ).
fof(f406,plain,
e2 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2576,plain,
( ~ spl42_459
| ~ spl42_12 ),
inference(avatar_split_clause,[],[f388,f603,f2573]) ).
fof(f603,plain,
( spl42_12
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).
fof(f388,plain,
( ~ sP1
| e5 != op(e4,e2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e1 != op(e4,e2)
& e3 != op(e4,e2)
& e5 != op(e4,e2)
& e2 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e1 != op(e4,e2)
& e3 != op(e4,e2)
& e5 != op(e4,e2)
& e2 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2566,plain,
( ~ spl42_172
| ~ spl42_93 ),
inference(avatar_split_clause,[],[f480,f932,f1248]) ).
fof(f932,plain,
( spl42_93
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).
fof(f480,plain,
( ~ sP20
| e2 != op(e2,unit) ),
inference(definition_unfolding,[],[f272,f108]) ).
fof(f272,plain,
( e2 != op(e2,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e0 != op(e2,e0)
& e5 != op(e2,e0)
& e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e0 != op(e2,e0)
& e5 != op(e2,e0)
& e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f2545,plain,
( ~ spl42_246
| ~ spl42_70 ),
inference(avatar_split_clause,[],[f518,f840,f1544]) ).
fof(f1544,plain,
( spl42_246
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_246])]) ).
fof(f518,plain,
( e4 != op(unit,e4)
| ~ sP6 ),
inference(definition_unfolding,[],[f357,f108]) ).
fof(f357,plain,
( e4 != op(e0,e4)
| ~ sP6 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e3 != op(e0,e4)
& e1 != op(e0,e4)
& e5 != op(e0,e4)
& e4 != op(e0,e4)
& e2 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e3 != op(e0,e4)
& e1 != op(e0,e4)
& e5 != op(e0,e4)
& e4 != op(e0,e4)
& e2 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2489,plain,
( ~ spl42_19
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f434,f808,f634]) ).
fof(f634,plain,
( spl42_19
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_19])]) ).
fof(f434,plain,
( e2 != op(unit,e2)
| ~ sP40 ),
inference(definition_unfolding,[],[f153,f108]) ).
fof(f153,plain,
( e2 != op(e0,e2)
| ~ sP40 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e4 != op(e0,e2)
& e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e5 != op(e0,e2) )
| ~ sP40 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e4 != op(e0,e2)
& e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e5 != op(e0,e2) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f2448,plain,
( ~ spl42_131
| ~ spl42_434 ),
inference(avatar_split_clause,[],[f471,f2445,f1084]) ).
fof(f1084,plain,
( spl42_131
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_131])]) ).
fof(f471,plain,
( op(e4,e5) != unit
| ~ sP25 ),
inference(definition_unfolding,[],[f244,f108]) ).
fof(f244,plain,
( e0 != op(e4,e5)
| ~ sP25 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e1 != op(e4,e5)
& e2 != op(e4,e5)
& e0 != op(e4,e5)
& e5 != op(e4,e5)
& e4 != op(e4,e5)
& e3 != op(e4,e5) )
| ~ sP25 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e1 != op(e4,e5)
& e2 != op(e4,e5)
& e0 != op(e4,e5)
& e5 != op(e4,e5)
& e4 != op(e4,e5)
& e3 != op(e4,e5) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f2443,plain,
( ~ spl42_291
| ~ spl42_433 ),
inference(avatar_split_clause,[],[f335,f2440,f1724]) ).
fof(f1724,plain,
( spl42_291
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_291])]) ).
fof(f335,plain,
( e5 != op(e3,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e3 != op(e3,e1)
& e5 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e3 != op(e3,e1)
& e5 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e4 != op(e3,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2438,plain,
( ~ spl42_72
| ~ spl42_305 ),
inference(avatar_split_clause,[],[f528,f1780,f848]) ).
fof(f848,plain,
( spl42_72
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).
fof(f528,plain,
( e5 != op(e5,unit)
| ~ sP3 ),
inference(definition_unfolding,[],[f373,f108]) ).
fof(f373,plain,
( e5 != op(e5,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e1 != op(e5,e0)
& e3 != op(e5,e0)
& e0 != op(e5,e0)
& e2 != op(e5,e0)
& e4 != op(e5,e0)
& e5 != op(e5,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e1 != op(e5,e0)
& e3 != op(e5,e0)
& e0 != op(e5,e0)
& e2 != op(e5,e0)
& e4 != op(e5,e0)
& e5 != op(e5,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2387,plain,
( ~ spl42_111
| ~ spl42_130
| ~ spl42_110
| ~ spl42_123
| ~ spl42_31
| ~ spl42_114
| ~ spl42_212
| ~ spl42_81
| ~ spl42_91
| ~ spl42_249
| spl42_128
| ~ spl42_156
| ~ spl42_203
| ~ spl42_251
| ~ spl42_271
| ~ spl42_264
| ~ spl42_227
| ~ spl42_74
| spl42_84
| ~ spl42_287
| ~ spl42_155
| ~ spl42_88
| ~ spl42_100
| ~ spl42_34
| ~ spl42_189
| ~ spl42_83
| ~ spl42_39
| ~ spl42_172
| ~ spl42_242
| ~ spl42_228
| ~ spl42_255
| ~ spl42_122
| ~ spl42_226
| ~ spl42_293
| ~ spl42_193
| ~ spl42_151
| spl42_131
| ~ spl42_28
| ~ spl42_273
| ~ spl42_281
| ~ spl42_132
| ~ spl42_235
| ~ spl42_71
| ~ spl42_45
| ~ spl42_61
| ~ spl42_171
| ~ spl42_46
| ~ spl42_157
| ~ spl42_70
| spl42_177
| ~ spl42_67
| ~ spl42_129
| spl42_291
| ~ spl42_37
| ~ spl42_294
| ~ spl42_196
| ~ spl42_115
| ~ spl42_299
| spl42_21
| ~ spl42_53
| ~ spl42_292
| spl42_17
| ~ spl42_201
| ~ spl42_154
| spl42_25
| ~ spl42_185
| ~ spl42_247
| spl42_85
| ~ spl42_127
| ~ spl42_167
| ~ spl42_136
| ~ spl42_188
| ~ spl42_236
| ~ spl42_144
| spl42_11
| ~ spl42_208
| ~ spl42_116
| ~ spl42_160
| ~ spl42_134
| ~ spl42_234
| ~ spl42_73
| ~ spl42_254
| ~ spl42_207
| ~ spl42_48
| ~ spl42_289
| ~ spl42_197
| ~ spl42_252
| ~ spl42_58
| ~ spl42_231
| ~ spl42_274
| ~ spl42_224
| ~ spl42_98
| spl42_2
| ~ spl42_23
| ~ spl42_41
| ~ spl42_182
| ~ spl42_118
| ~ spl42_206
| ~ spl42_210
| ~ spl42_265
| ~ spl42_192
| ~ spl42_302
| ~ spl42_298
| spl42_92
| ~ spl42_89
| ~ spl42_305
| ~ spl42_191
| ~ spl42_138
| ~ spl42_223
| ~ spl42_219
| spl42_72
| ~ spl42_125
| ~ spl42_55
| ~ spl42_173
| ~ spl42_241
| ~ spl42_109
| spl42_143
| ~ spl42_176
| ~ spl42_47
| ~ spl42_86
| ~ spl42_50
| ~ spl42_278
| ~ spl42_87
| ~ spl42_33
| ~ spl42_257
| ~ spl42_26
| ~ spl42_147
| ~ spl42_184
| ~ spl42_296
| ~ spl42_36
| ~ spl42_209
| ~ spl42_205
| ~ spl42_90
| ~ spl42_82
| ~ spl42_225
| ~ spl42_77
| ~ spl42_63
| ~ spl42_40
| ~ spl42_175
| ~ spl42_30
| ~ spl42_221
| ~ spl42_168
| ~ spl42_66
| ~ spl42_133
| ~ spl42_283
| ~ spl42_76
| ~ spl42_152
| ~ spl42_306
| ~ spl42_211
| ~ spl42_142
| ~ spl42_213
| spl42_94
| ~ spl42_199
| ~ spl42_49
| ~ spl42_54
| spl42_282
| ~ spl42_159
| ~ spl42_102
| ~ spl42_51
| ~ spl42_35
| ~ spl42_56
| ~ spl42_258
| ~ spl42_180
| ~ spl42_162
| ~ spl42_170
| ~ spl42_285
| spl42_103
| ~ spl42_238
| ~ spl42_277
| ~ spl42_57
| ~ spl42_276
| ~ spl42_148
| spl42_256
| spl42_220
| spl42_60
| ~ spl42_266
| ~ spl42_233
| spl42_19
| ~ spl42_99
| spl42_243
| ~ spl42_261
| ~ spl42_275
| ~ spl42_112
| ~ spl42_190
| ~ spl42_284
| spl42_248
| ~ spl42_260
| ~ spl42_150
| ~ spl42_174
| ~ spl42_120
| ~ spl42_269
| ~ spl42_29
| ~ spl42_32
| ~ spl42_262
| ~ spl42_288
| ~ spl42_183
| spl42_4
| ~ spl42_270
| ~ spl42_137
| ~ spl42_146
| ~ spl42_237
| ~ spl42_141
| ~ spl42_117
| ~ spl42_24
| ~ spl42_27
| ~ spl42_164
| ~ spl42_149
| ~ spl42_43
| ~ spl42_65
| spl42_12
| ~ spl42_95
| ~ spl42_59
| ~ spl42_195
| spl42_297
| ~ spl42_135
| ~ spl42_280
| ~ spl42_200
| ~ spl42_204
| ~ spl42_307
| ~ spl42_108
| ~ spl42_145
| ~ spl42_229
| ~ spl42_106
| ~ spl42_78
| ~ spl42_304
| ~ spl42_214
| spl42_215
| ~ spl42_121
| spl42_218
| ~ spl42_124
| ~ spl42_163
| ~ spl42_230
| ~ spl42_165
| ~ spl42_295
| spl42_240
| spl42_244
| ~ spl42_253
| ~ spl42_186
| ~ spl42_267
| ~ spl42_300
| ~ spl42_178
| ~ spl42_80
| ~ spl42_169
| ~ spl42_216
| spl42_119
| ~ spl42_272
| ~ spl42_79
| ~ spl42_44
| ~ spl42_161
| ~ spl42_179
| spl42_158
| ~ spl42_42
| spl42_96
| ~ spl42_104
| ~ spl42_6
| ~ spl42_75
| ~ spl42_239
| spl42_5
| spl42_301
| spl42_246
| ~ spl42_198
| ~ spl42_259
| ~ spl42_139
| ~ spl42_279
| ~ spl42_69
| spl42_93
| ~ spl42_97
| ~ spl42_38
| ~ spl42_68
| ~ spl42_202
| ~ spl42_52
| ~ spl42_181
| spl42_245
| ~ spl42_268
| ~ spl42_153
| ~ spl42_290
| spl42_15
| spl42_113
| ~ spl42_222
| ~ spl42_22
| ~ spl42_187
| ~ spl42_140
| ~ spl42_101
| ~ spl42_303
| ~ spl42_194
| ~ spl42_422
| ~ spl42_263
| ~ spl42_105
| ~ spl42_62
| ~ spl42_166
| spl42_8
| ~ spl42_64
| ~ spl42_126
| ~ spl42_286
| ~ spl42_250
| spl42_232
| ~ spl42_107 ),
inference(avatar_split_clause,[],[f544,f988,f1488,f1560,f1704,f1064,f816,f584,f1224,f808,f980,f1612,f2384,f1336,f1772,f964,f1120,f1308,f648,f1448,f1012,f616,f1720,f1172,f1632,f1540,f1284,f768,f1368,f832,f712,f948,f932,f836,f1676,f1116,f1596,f1352,f1544,f1764,f571,f1516,f860,f575,f976,f944,f728,f1192,f1276,f1204,f736,f876,f1648,f1036,f1424,f1236,f880,f1272,f1760,f1628,f1304,f1572,f1536,f1520,f1740,f1220,f1480,f1212,f1056,f1432,f1044,f1420,f1416,f1776,f872,f984,f1476,f1140,f992,f1788,f1376,f1360,f1680,f1100,f1748,f1340,f796,f940,f603,f820,f732,f1156,f1216,f668,f656,f1028,f1124,f1508,f1144,f1108,f1640,f566,f1292,f1712,f1608,f688,f676,f1636,f1040,f1256,f1160,f1600,f1552,f1696,f1320,f1008,f1660,f1604,f1532,f956,f634,f1492,f1624,f800,f1440,f1584,f1152,f1664,f788,f1668,f1512,f972,f1700,f1240,f1208,f1280,f1592,f784,f700,f764,f968,f1196,f1688,f776,f756,f1356,f936,f1412,f1128,f1404,f1784,f1168,f864,f1692,f1092,f824,f1232,f1444,f680,f1260,f720,f812,f868,f1460,f888,f920,f1380,f1396,f704,f1744,f1296,f1148,f664,f1588,f692,f908,f1672,f760,f904,f748,f1264,f1132,f996,f1524,f1252,f780,f1060,f848,f1436,f1452,f1112,f1324,f1780,f916,f928,f1752,f1768,f1328,f1620,f1400,f1384,f1032,f1288,f724,f652,f557,f952,f1456,f1656,f1484,f792,f1568,f1348,f1716,f752,f1388,f1576,f852,f1496,f1096,f1200,f1024,f1392,f598,f1136,f1504,f1312,f1104,f1228,f1068,f900,f1548,f1300,f660,f1176,f1364,f625,f1728,f772,f643,f1756,f1020,f1344,f1736,f708,f1724,f1076,f828,f1268,f840,f1188,f744,f1244,f804,f740,f844,f1500,f1088,f1684,f1652,f672,f1084,f1164,f1332,f1732,f1464,f1048,f1580,f1472,f1528,f1248,f716,f892,f1316,f696,f960,f912,f1180,f1708,f896,f856,f1468,f1616,f1644,f1564,f1372,f1184,f1072,f1556,f924,f884,f1408,f1016,f684,f1052,f1000,f1080,f1004]) ).
fof(f1072,plain,
( spl42_128
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_128])]) ).
fof(f625,plain,
( spl42_17
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).
fof(f557,plain,
( spl42_2
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f928,plain,
( spl42_92
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).
fof(f936,plain,
( spl42_94
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f1688,plain,
( spl42_282
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_282])]) ).
fof(f972,plain,
( spl42_103
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_103])]) ).
fof(f1584,plain,
( spl42_256
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_256])]) ).
fof(f800,plain,
( spl42_60
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_60])]) ).
fof(f1552,plain,
( spl42_248
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_248])]) ).
fof(f566,plain,
( spl42_4
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f1748,plain,
( spl42_297
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_297])]) ).
fof(f1420,plain,
( spl42_215
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_215])]) ).
fof(f1432,plain,
( spl42_218
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_218])]) ).
fof(f1536,plain,
( spl42_244
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_244])]) ).
fof(f1036,plain,
( spl42_119
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_119])]) ).
fof(f1192,plain,
( spl42_158
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).
fof(f944,plain,
( spl42_96
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).
fof(f571,plain,
( spl42_5
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).
fof(f616,plain,
( spl42_15
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_15])]) ).
fof(f584,plain,
( spl42_8
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).
fof(f1488,plain,
( spl42_232
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_232])]) ).
fof(f544,plain,
( op(op(e4,e2),e4) != op(e4,op(e2,e4))
| sP18
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| op(op(e5,unit),e4) != op(e5,op(unit,e4))
| op(op(e3,e5),e5) != op(e3,op(e5,e5))
| op(op(e4,e5),e2) != op(e4,op(e5,e2))
| sP0
| op(op(e4,e1),e2) != op(e4,op(e1,e2))
| e2 != op(unit,e2)
| op(op(e4,e2),e2) != op(e4,op(e2,e2))
| op(op(e3,e5),e4) != op(e3,op(e5,e4))
| e3 != op(e2,e2)
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| op(op(e1,e2),e4) != op(e1,op(e2,e4))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e5,e2),e4) != op(e5,op(e2,e4))
| op(op(unit,e5),e5) != op(unit,op(e5,e5))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(e4,op(unit,e2)) != op(op(e4,unit),e2)
| sP36
| sP13
| op(op(e2,e5),e3) != op(e2,op(e5,e3))
| op(op(e5,e3),e5) != op(e5,op(e3,e5))
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| sP4
| op(op(e5,e5),e5) != op(e5,op(e5,e5))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e4,e3),e4) != op(e4,op(e3,e4))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| sP20
| op(op(e3,e4),e5) != op(e3,op(e4,e5))
| op(unit,op(e5,e1)) != op(op(unit,e5),e1)
| op(unit,op(e3,e4)) != op(op(unit,e3),e4)
| e5 != op(unit,e5)
| unit != op(unit,unit)
| sP6
| sP32
| sP17
| op(op(e5,e1),e2) != op(e5,op(e1,e2))
| op(unit,op(e5,e4)) != op(op(unit,e5),e4)
| e4 != op(e4,unit)
| unit != op(e2,inv(e2))
| sP14
| op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| sP33
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e5),e4) != op(e1,op(e5,e4))
| op(op(e1,e5),unit) != op(e1,op(e5,unit))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(unit,op(e2,e1)) != op(op(unit,e2),e1)
| sP19
| op(op(e4,e1),e3) != op(e4,op(e1,e3))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e4,e3),unit) != op(e4,op(e3,unit))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e5,e1),unit) != op(e5,op(e1,unit))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(e3,e4) != op(e4,e3)
| sP2
| sP30
| op(unit,op(e4,e5)) != op(op(unit,e4),e5)
| op(unit,e5) != op(e5,unit)
| op(op(e3,e4),e4) != op(e3,op(e4,e4))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(e4,op(e5,unit)) != op(op(e4,e5),unit)
| sP21
| op(op(e1,e4),e2) != op(e1,op(e4,e2))
| sP9
| op(op(e3,e2),e4) != op(e3,op(e2,e4))
| op(op(e5,e3),e4) != op(e5,op(e3,e4))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e3),e5) != op(e2,op(e3,e5))
| op(op(e3,e5),e3) != op(e3,op(e5,e3))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| op(op(e2,e4),unit) != op(e2,op(e4,unit))
| op(op(e4,e1),e4) != op(e4,op(e1,e4))
| op(op(e5,e1),e3) != op(e5,op(e1,e3))
| op(op(e4,e5),e5) != op(e4,op(e5,e5))
| op(e1,e3) != op(e3,e1)
| sP11
| op(op(e3,e3),e4) != op(e3,op(e3,e4))
| op(e4,op(e2,unit)) != op(op(e4,e2),unit)
| op(op(unit,e4),e3) != op(unit,op(e4,e3))
| sP1
| op(op(e3,e1),e4) != op(e3,op(e1,e4))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| op(op(e2,e5),e5) != op(e2,op(e5,e5))
| op(e2,op(unit,e5)) != op(op(e2,unit),e5)
| op(op(e3,e4),e1) != op(e3,op(e4,e1))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(e1,e5),e1) != op(e1,op(e5,e1))
| op(e1,op(unit,e3)) != op(op(e1,unit),e3)
| op(op(e2,e1),e5) != op(e2,op(e1,e5))
| op(op(e2,e4),e1) != op(e2,op(e4,e1))
| op(e1,op(e4,unit)) != op(op(e1,e4),unit)
| sP22
| e1 != op(unit,e1)
| op(e3,op(e4,unit)) != op(op(e3,e4),unit)
| op(op(e4,e3),e2) != op(e4,op(e3,e2))
| op(op(e2,e4),e3) != op(e2,op(e4,e3))
| op(op(e4,e5),e3) != op(e4,op(e5,e3))
| op(unit,op(e4,e2)) != op(op(unit,e4),e2)
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(e4,e5) != op(e5,e4)
| op(op(e1,e5),e2) != op(e1,op(e5,e2))
| op(op(e5,unit),e5) != op(e5,op(unit,e5))
| sP8
| op(op(e1,e5),e5) != op(e1,op(e5,e5))
| unit != op(e1,inv(e1))
| op(op(e5,e2),e2) != op(e5,op(e2,e2))
| op(op(e5,e2),e1) != op(e5,op(e2,e1))
| op(op(e4,e1),e5) != op(e4,op(e1,e5))
| sP24
| op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| sP40
| op(e2,op(e5,unit)) != op(op(e2,e5),unit)
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| sP16
| sP38
| sP7
| op(op(e2,e3),e4) != op(e2,op(e3,e4))
| op(op(e5,e2),e3) != op(e5,op(e2,e3))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(unit,op(e5,unit)) != op(op(unit,e5),unit)
| op(op(e4,e3),e5) != op(e4,op(e3,e5))
| sP29
| op(op(e2,e4),e2) != op(e2,op(e4,e2))
| op(op(e4,e5),e4) != op(e4,op(e5,e4))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e2,e5),e4) != op(e2,op(e5,e4))
| e3 != op(e3,unit)
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(e1,unit),e5) != op(e1,op(unit,e5))
| op(op(e4,e4),unit) != op(e4,op(e4,unit))
| op(op(e4,e4),e4) != op(e4,op(e4,e4))
| op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| sP27
| op(op(e5,e2),e5) != op(e5,op(e2,e5))
| op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| op(op(e5,e1),e5) != op(e5,op(e1,e5))
| sP37
| op(e5,op(e4,unit)) != op(op(e5,e4),unit)
| op(op(e1,e1),e4) != op(e1,op(e1,e4))
| op(op(unit,unit),e4) != op(unit,op(unit,e4))
| op(op(e1,e4),e4) != op(e1,op(e4,e4))
| op(op(e4,e1),unit) != op(e4,op(e1,unit))
| unit != op(e4,inv(e4))
| op(op(e1,e5),e3) != op(e1,op(e5,e3))
| op(e2,op(unit,e4)) != op(op(e2,unit),e4)
| op(e4,op(unit,e1)) != op(op(e4,unit),e1)
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e5,e5),unit) != op(e5,op(e5,unit))
| op(unit,op(unit,unit)) != op(op(unit,unit),unit)
| op(op(e5,e1),e4) != op(e5,op(e1,e4))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(e4,e3),e1) != op(e4,op(e3,e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(e2,op(unit,e1)) != op(op(e2,unit),e1)
| op(op(e4,e2),e3) != op(e4,op(e2,e3))
| op(op(e2,e4),e5) != op(e2,op(e4,e5))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(unit,op(unit,e3)) != op(op(unit,unit),e3)
| op(unit,e1) != op(e1,unit)
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(e4,op(unit,e4)) != op(op(e4,unit),e4)
| unit != op(inv(unit),unit)
| op(op(e1,e4),e1) != op(e1,op(e4,e1))
| unit != op(inv(e5),e5)
| op(e1,e4) != op(e4,e1)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(e1,e2) != op(e2,e1)
| op(op(e3,e1),e5) != op(e3,op(e1,e5))
| op(op(e5,unit),e1) != op(e5,op(unit,e1))
| op(op(e3,e2),e5) != op(e3,op(e2,e5))
| op(e2,e4) != op(e4,e2)
| sP26
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(unit,e3) != op(e3,unit)
| op(op(e2,e4),e4) != op(e2,op(e4,e4))
| op(op(e5,e3),e3) != op(e5,op(e3,e3))
| op(op(e4,unit),e3) != op(e4,op(unit,e3))
| sP3
| op(op(e4,unit),unit) != op(e4,op(unit,unit))
| op(e5,op(unit,unit)) != op(op(e5,unit),unit)
| unit != op(inv(e1),e1)
| op(op(e4,e4),e1) != op(e4,op(e4,e1))
| e5 != op(e5,unit)
| op(op(e5,e4),e3) != op(e5,op(e4,e3))
| sP23
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e2,e1),e4) != op(e2,op(e1,e4))
| op(op(unit,e2),e4) != op(unit,op(e2,e4))
| op(unit,op(e2,e5)) != op(op(unit,e2),e5)
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e5,e5),e4) != op(e5,op(e5,e4))
| op(op(e5,e5),e3) != op(e5,op(e5,e3))
| op(e1,e5) != op(e5,e1)
| op(op(e4,e5),e1) != op(e4,op(e5,e1))
| unit != op(inv(e3),e3)
| sP31
| op(unit,op(e4,unit)) != op(op(unit,e4),unit)
| op(op(e4,e4),e2) != op(e4,op(e4,e2))
| unit != op(e3,inv(e3))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(unit,op(e4,e4)) != op(op(unit,e4),e4)
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e5,e5),e1) != op(e5,op(e5,e1))
| op(op(unit,e5),e2) != op(unit,op(e5,e2))
| op(op(e4,e4),e5) != op(e4,op(e4,e5))
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| op(op(e5,unit),e3) != op(e5,op(unit,e3))
| op(unit,op(e3,e5)) != op(op(unit,e3),e5)
| op(op(e2,e5),e1) != op(e2,op(e5,e1))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(e2,e5) != op(e5,e2)
| op(op(e2,e2),e4) != op(e2,op(e2,e4))
| op(op(unit,e5),e3) != op(unit,op(e5,e3))
| sP35
| op(op(unit,e1),e4) != op(unit,op(e1,e4))
| op(op(e5,unit),e2) != op(e5,op(unit,e2))
| op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e4,e2),e5) != op(e4,op(e2,e5))
| op(e4,op(unit,e5)) != op(op(e4,unit),e5)
| sP41
| op(op(e3,e3),e5) != op(e3,op(e3,e5))
| op(e5,op(e2,unit)) != op(op(e5,e2),unit)
| sP5
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| sP39
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(e1,op(unit,e4)) != op(op(e1,unit),e4)
| sP15
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| e3 != op(unit,e3)
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| sP10
| op(op(e4,e2),e1) != op(e4,op(e2,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP34
| e4 != op(unit,e4)
| unit != op(unit,inv(unit))
| op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| op(op(e3,e5),e1) != op(e3,op(e5,e1))
| op(op(e3,e4),e3) != op(e3,op(e4,e3))
| op(op(e5,e1),e1) != op(e5,op(e1,e1))
| op(op(e5,e3),e2) != op(e5,op(e3,e2))
| op(op(e5,e5),e2) != op(e5,op(e5,e2))
| unit != op(e5,inv(e5))
| op(op(e5,e4),e1) != op(e5,op(e4,e1))
| op(unit,e4) != op(e4,unit)
| op(op(unit,unit),e5) != op(unit,op(unit,e5))
| sP25
| op(op(e5,e3),e1) != op(e5,op(e3,e1))
| op(op(e1,e4),e3) != op(e1,op(e4,e3))
| op(op(e4,e4),e3) != op(e4,op(e4,e3))
| op(op(e3,e4),e2) != op(e3,op(e4,e2))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e5,e4),e2) != op(e5,op(e4,e2))
| op(e3,op(unit,e5)) != op(op(e3,unit),e5)
| op(op(e1,e4),e5) != op(e1,op(e4,e5))
| e2 != op(e2,unit)
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,e3),e5) != op(e1,op(e3,e5))
| op(op(e3,e5),unit) != op(e3,op(e5,unit))
| op(e3,e5) != op(e5,e3)
| unit != op(inv(e2),e2)
| op(op(e1,e1),e5) != op(e1,op(e1,e5))
| op(op(e5,e3),unit) != op(e5,op(e3,unit))
| op(op(e3,e5),e2) != op(e3,op(e5,e2))
| sP28
| op(op(unit,e1),e5) != op(unit,op(e1,e5))
| op(op(e4,e1),e1) != op(e4,op(e1,e1))
| op(op(e2,e2),e5) != op(e2,op(e2,e5))
| op(unit,e2) != op(e2,unit)
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(unit,op(e4,e1)) != op(op(unit,e4),e1)
| op(op(e5,e4),e4) != op(e5,op(e4,e4))
| sP12
| unit != op(inv(e4),e4)
| op(op(e1,e3),e4) != op(e1,op(e3,e4))
| op(op(e4,e3),e3) != op(e4,op(e3,e3))
| op(op(e3,unit),e4) != op(e3,op(unit,e4))
| op(e2,e3) != op(e3,e2)
| op(op(e5,e4),e5) != op(e5,op(e4,e5))
| op(op(e2,e5),e2) != op(e2,op(e5,e2))
| op(op(e1,e2),e5) != op(e1,op(e2,e5))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| e1 != op(e1,unit) ),
inference(trivial_inequality_removal,[],[f543]) ).
fof(f543,plain,
( unit != op(e4,inv(e4))
| op(op(e5,e1),e4) != op(e5,op(e1,e4))
| op(op(e4,e4),e2) != op(e4,op(e4,e2))
| op(e3,op(e4,unit)) != op(op(e3,e4),unit)
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e4,e4),e1) != op(e4,op(e4,e1))
| op(op(e2,e3),e4) != op(e2,op(e3,e4))
| e4 != op(unit,e4)
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(unit,op(e2,e1)) != op(op(unit,e2),e1)
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| sP22
| op(op(e3,e5),e1) != op(e3,op(e5,e1))
| op(op(e4,e4),e5) != op(e4,op(e4,e5))
| op(op(e4,e1),e1) != op(e4,op(e1,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(e3,op(unit,e5)) != op(op(e3,unit),e5)
| op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| sP15
| op(op(e1,e5),e1) != op(e1,op(e5,e1))
| op(op(e2,e4),e4) != op(e2,op(e4,e4))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| op(unit,e4) != op(e4,unit)
| op(op(e3,e5),e2) != op(e3,op(e5,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e1,e1),e5) != op(e1,op(e1,e5))
| op(unit,op(e2,e5)) != op(op(unit,e2),e5)
| op(op(e4,e5),e4) != op(e4,op(e5,e4))
| e2 != op(e2,unit)
| op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| op(unit,e5) != op(e5,unit)
| op(unit,e1) != op(e1,unit)
| sP34
| op(op(e4,e5),e3) != op(e4,op(e5,e3))
| op(e1,op(e4,unit)) != op(op(e1,e4),unit)
| op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| op(op(e3,e3),e5) != op(e3,op(e3,e5))
| op(e1,e1) != op(e1,e1)
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(e3,e4),e4) != op(e3,op(e4,e4))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(e4,op(unit,e5)) != op(op(e4,unit),e5)
| op(e5,op(e4,unit)) != op(op(e5,e4),unit)
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e3,e3),e4) != op(e3,op(e3,e4))
| op(op(e5,unit),e4) != op(e5,op(unit,e4))
| op(op(e5,unit),e3) != op(e5,op(unit,e3))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| op(op(e4,e1),e5) != op(e4,op(e1,e5))
| sP36
| op(e2,op(unit,e4)) != op(op(e2,unit),e4)
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e4,e2),e2) != op(e4,op(e2,e2))
| op(e2,e4) != op(e4,e2)
| sP23
| op(op(e5,e2),e5) != op(e5,op(e2,e5))
| op(op(e3,unit),e4) != op(e3,op(unit,e4))
| sP31
| op(op(e2,e4),e2) != op(e2,op(e4,e2))
| sP14
| op(op(e4,e5),e5) != op(e4,op(e5,e5))
| unit != op(e2,inv(e2))
| op(op(e2,e2),e5) != op(e2,op(e2,e5))
| op(op(e3,e1),e5) != op(e3,op(e1,e5))
| op(e4,op(e5,unit)) != op(op(e4,e5),unit)
| op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| unit != op(inv(e2),e2)
| op(e2,op(e5,unit)) != op(op(e2,e5),unit)
| sP41
| op(op(e2,e5),e4) != op(e2,op(e5,e4))
| op(op(e5,e3),unit) != op(e5,op(e3,unit))
| op(unit,op(e5,e4)) != op(op(unit,e5),e4)
| op(op(e5,e5),unit) != op(e5,op(e5,unit))
| op(e4,e4) != op(e4,e4)
| sP28
| op(op(e4,e4),e3) != op(e4,op(e4,e3))
| sP24
| sP7
| op(e4,op(unit,e1)) != op(op(e4,unit),e1)
| op(op(e5,e4),e5) != op(e5,op(e4,e5))
| e3 != op(unit,e3)
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| sP2
| sP19
| e3 != op(e2,e2)
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e4,e3),e5) != op(e4,op(e3,e5))
| op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| op(unit,unit) != op(unit,unit)
| op(op(e4,e2),e5) != op(e4,op(e2,e5))
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| op(e1,e4) != op(e4,e1)
| op(op(e5,e4),e1) != op(e5,op(e4,e1))
| op(op(e2,e1),e5) != op(e2,op(e1,e5))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| op(op(e5,e3),e3) != op(e5,op(e3,e3))
| op(e5,op(e2,unit)) != op(op(e5,e2),unit)
| op(op(e3,e2),e5) != op(e3,op(e2,e5))
| op(e2,e5) != op(e5,e2)
| op(op(e1,e5),e2) != op(e1,op(e5,e2))
| op(e1,op(unit,e4)) != op(op(e1,unit),e4)
| op(op(e1,e2),e4) != op(e1,op(e2,e4))
| op(e3,e5) != op(e5,e3)
| e4 != op(e4,unit)
| op(op(e5,e4),e2) != op(e5,op(e4,e2))
| op(op(e4,e2),e4) != op(e4,op(e2,e4))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e1,e1),e4) != op(e1,op(e1,e4))
| op(op(e4,e3),e2) != op(e4,op(e3,e2))
| op(op(e1,e5),e5) != op(e1,op(e5,e5))
| op(op(e5,unit),e5) != op(e5,op(unit,e5))
| op(op(e3,e2),e4) != op(e3,op(e2,e4))
| op(op(e4,e3),e4) != op(e4,op(e3,e4))
| op(op(e4,unit),unit) != op(e4,op(unit,unit))
| op(unit,op(e4,unit)) != op(op(unit,e4),unit)
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| sP10
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| op(op(e1,e5),e3) != op(e1,op(e5,e3))
| op(e4,op(e2,unit)) != op(op(e4,e2),unit)
| op(op(e1,e5),e4) != op(e1,op(e5,e4))
| op(op(e5,e5),e5) != op(e5,op(e5,e5))
| sP12
| op(op(e5,e1),e3) != op(e5,op(e1,e3))
| op(op(e2,e3),e5) != op(e2,op(e3,e5))
| op(op(e5,unit),e1) != op(e5,op(unit,e1))
| e5 != op(e5,unit)
| op(op(e5,e4),e4) != op(e5,op(e4,e4))
| op(unit,op(unit,e3)) != op(op(unit,unit),e3)
| op(op(e4,unit),e3) != op(e4,op(unit,e3))
| op(op(e3,e5),e3) != op(e3,op(e5,e3))
| op(unit,op(e5,unit)) != op(op(unit,e5),unit)
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| sP6
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(e5,e5) != op(e5,e5)
| op(op(e3,e5),unit) != op(e3,op(e5,unit))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(unit,op(unit,unit)) != op(op(unit,unit),unit)
| op(op(e4,e4),e4) != op(e4,op(e4,e4))
| op(op(e4,e3),unit) != op(e4,op(e3,unit))
| op(e2,op(unit,e5)) != op(op(e2,unit),e5)
| op(op(e2,e2),e4) != op(e2,op(e2,e4))
| op(op(e3,e5),e4) != op(e3,op(e5,e4))
| op(e4,op(unit,e2)) != op(op(e4,unit),e2)
| op(op(e1,e4),e3) != op(e1,op(e4,e3))
| op(op(e1,unit),e5) != op(e1,op(unit,e5))
| op(op(e5,e2),e2) != op(e5,op(e2,e2))
| op(op(e5,e3),e2) != op(e5,op(e3,e2))
| op(op(unit,e1),e4) != op(unit,op(e1,e4))
| unit != op(inv(e1),e1)
| op(op(e3,e4),e2) != op(e3,op(e4,e2))
| op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| op(op(e1,e3),e4) != op(e1,op(e3,e4))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| unit != op(inv(e3),e3)
| op(op(unit,e2),e4) != op(unit,op(e2,e4))
| op(op(e1,e4),e4) != op(e1,op(e4,e4))
| sP35
| op(op(e5,e5),e4) != op(e5,op(e5,e4))
| op(op(e1,e2),e5) != op(e1,op(e2,e5))
| op(op(e2,e4),e5) != op(e2,op(e4,e5))
| op(op(e1,e4),e5) != op(e1,op(e4,e5))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| sP40
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(unit,unit),e4) != op(unit,op(unit,e4))
| op(op(e5,e2),e3) != op(e5,op(e2,e3))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| sP13
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(e1,e2) != op(e2,e1)
| op(op(e3,e4),e1) != op(e3,op(e4,e1))
| op(op(e1,e3),e5) != op(e1,op(e3,e5))
| sP27
| sP37
| op(op(e2,e4),e1) != op(e2,op(e4,e1))
| op(unit,op(e3,e4)) != op(op(unit,e3),e4)
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e5,e5),e3) != op(e5,op(e5,e3))
| sP25
| op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| op(op(e1,e4),e2) != op(e1,op(e4,e2))
| unit != op(inv(unit),unit)
| unit != op(unit,unit)
| op(op(e5,e3),e4) != op(e5,op(e3,e4))
| op(unit,op(e4,e5)) != op(op(unit,e4),e5)
| op(op(e5,e5),e1) != op(e5,op(e5,e1))
| sP1
| op(unit,op(e5,e1)) != op(op(unit,e5),e1)
| op(op(e4,e1),e4) != op(e4,op(e1,e4))
| op(op(e4,e5),e2) != op(e4,op(e5,e2))
| op(unit,op(e4,e4)) != op(op(unit,e4),e4)
| sP9
| op(op(e2,e5),e1) != op(e2,op(e5,e1))
| sP11
| op(unit,e2) != op(e2,unit)
| op(op(e2,e5),e5) != op(e2,op(e5,e5))
| op(unit,e3) != op(e3,unit)
| e3 != op(e3,unit)
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(e5,e1),e1) != op(e5,op(e1,e1))
| op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| sP32
| sP26
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| unit != op(inv(e4),e4)
| op(e3,e4) != op(e4,e3)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e5,unit),e2) != op(e5,op(unit,e2))
| op(op(e5,e1),e5) != op(e5,op(e1,e5))
| op(op(e2,e4),unit) != op(e2,op(e4,unit))
| op(op(e1,e5),unit) != op(e1,op(e5,unit))
| sP16
| op(op(e2,e1),e4) != op(e2,op(e1,e4))
| op(op(e3,e4),e3) != op(e3,op(e4,e3))
| op(op(unit,unit),e5) != op(unit,op(unit,e5))
| sP21
| op(op(e5,e5),e2) != op(e5,op(e5,e2))
| op(unit,op(e3,e5)) != op(op(unit,e3),e5)
| op(op(e1,e4),e1) != op(e1,op(e4,e1))
| op(op(e2,e4),e3) != op(e2,op(e4,e3))
| op(e4,e5) != op(e5,e4)
| op(e2,op(unit,e1)) != op(op(e2,unit),e1)
| sP0
| e1 != op(e1,unit)
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e4,e5),e1) != op(e4,op(e5,e1))
| sP39
| op(op(e4,e2),e3) != op(e4,op(e2,e3))
| op(op(e4,e4),unit) != op(e4,op(e4,unit))
| sP33
| op(op(e5,e2),e1) != op(e5,op(e2,e1))
| op(e1,op(unit,e3)) != op(op(e1,unit),e3)
| op(op(e5,e1),e2) != op(e5,op(e1,e2))
| e2 != op(unit,e2)
| op(op(unit,e5),e2) != op(unit,op(e5,e2))
| op(op(e3,e5),e5) != op(e3,op(e5,e5))
| op(op(unit,e4),e3) != op(unit,op(e4,e3))
| op(op(unit,e5),e5) != op(unit,op(e5,e5))
| op(op(e5,e1),unit) != op(e5,op(e1,unit))
| sP3
| unit != op(e1,inv(e1))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(unit,e1),e5) != op(unit,op(e1,e5))
| e5 != op(unit,e5)
| sP20
| e1 != op(unit,e1)
| sP30
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| sP5
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(e2,e3) != op(e3,e2)
| op(op(e5,e3),e1) != op(e5,op(e3,e1))
| sP17
| unit != op(inv(e5),e5)
| op(op(unit,e5),e3) != op(unit,op(e5,e3))
| op(e5,op(unit,unit)) != op(op(e5,unit),unit)
| sP38
| op(e3,e3) != op(e3,e3)
| op(op(e4,e2),e1) != op(e4,op(e2,e1))
| unit != op(unit,inv(unit))
| op(op(e5,e2),e4) != op(e5,op(e2,e4))
| op(e2,e2) != op(e2,e2)
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| op(unit,op(e4,e2)) != op(op(unit,e4),e2)
| op(e1,e5) != op(e5,e1)
| op(op(e4,e1),e3) != op(e4,op(e1,e3))
| op(e1,e3) != op(e3,e1)
| op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e4) != op(e3,op(e1,e4))
| sP8
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(e4,op(unit,e4)) != op(op(e4,unit),e4)
| op(op(e4,e1),unit) != op(e4,op(e1,unit))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| sP29
| unit != op(e5,inv(e5))
| op(op(e3,e4),e5) != op(e3,op(e4,e5))
| op(op(e4,e3),e1) != op(e4,op(e3,e1))
| op(op(e2,e5),e2) != op(e2,op(e5,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e5,e4),e3) != op(e5,op(e4,e3))
| op(unit,op(e4,e1)) != op(op(unit,e4),e1)
| sP18
| op(op(e4,e1),e2) != op(e4,op(e1,e2))
| op(op(e5,e3),e5) != op(e5,op(e3,e5))
| sP4
| unit != op(e3,inv(e3))
| op(op(e2,e5),e3) != op(e2,op(e5,e3))
| op(op(e4,e3),e3) != op(e4,op(e3,e3)) ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f537,plain,
( sP36
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(e3,e4) != op(e4,e3)
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| sP27
| op(e2,e5) != op(e5,e2)
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(e2,e4) != op(e4,e2)
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(e5,op(unit,unit)) != op(op(e5,unit),unit)
| op(op(e4,e2),e3) != op(e4,op(e2,e3))
| sP19
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e3),e4) != op(e3,op(e3,e4))
| sP2
| sP30
| op(op(e1,e5),e4) != op(e1,op(e5,e4))
| op(op(e5,e1),e3) != op(e5,op(e1,e3))
| op(op(e3,e4),e3) != op(e3,op(e4,e3))
| op(op(e4,e3),unit) != op(e4,op(e3,unit))
| op(e4,op(e5,unit)) != op(op(e4,e5),unit)
| op(unit,op(e4,e4)) != op(op(unit,e4),e4)
| op(op(unit,unit),e5) != op(unit,op(unit,e5))
| op(unit,op(unit,e3)) != op(op(unit,unit),e3)
| op(unit,op(e3,unit)) != op(op(unit,e3),unit)
| op(op(e3,e4),e4) != op(e3,op(e4,e4))
| op(op(e3,e1),e5) != op(e3,op(e1,e5))
| op(op(e4,e5),e5) != op(e4,op(e5,e5))
| sP14
| op(op(e2,e4),e4) != op(e2,op(e4,e4))
| unit != op(e3,inv(e3))
| sP20
| op(op(e3,unit),e4) != op(e3,op(unit,e4))
| sP26
| op(e5,e5) != op(e5,e5)
| op(op(e2,e4),e5) != op(e2,op(e4,e5))
| unit != op(inv(e4),e4)
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e4),e5) != op(e1,op(e4,e5))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e5,e4),e1) != op(e5,op(e4,e1))
| op(op(e5,e1),e5) != op(e5,op(e1,e5))
| op(op(e4,e3),e1) != op(e4,op(e3,e1))
| unit != op(inv(unit),unit)
| op(unit,op(e4,unit)) != op(op(unit,e4),unit)
| op(op(e4,e1),e1) != op(e4,op(e1,e1))
| op(e3,op(unit,e1)) != op(op(e3,unit),e1)
| op(e3,op(unit,e5)) != op(op(e3,unit),e5)
| op(e4,op(unit,e2)) != op(op(e4,unit),e2)
| sP18
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(unit,e4) != op(e4,unit)
| sP6
| op(e1,e4) != op(e4,e1)
| unit != op(unit,inv(unit))
| op(unit,e3) != op(e3,unit)
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(e4,e4) != op(e4,e4)
| op(op(e4,e1),e4) != op(e4,op(e1,e4))
| op(op(e5,e3),e4) != op(e5,op(e3,e4))
| op(op(e4,e4),e3) != op(e4,op(e4,e3))
| op(op(e3,e2),e4) != op(e3,op(e2,e4))
| op(e1,op(unit,e4)) != op(op(e1,unit),e4)
| op(op(e2,e3),e5) != op(e2,op(e3,e5))
| sP28
| op(e2,op(unit,e4)) != op(op(e2,unit),e4)
| op(unit,op(e4,e1)) != op(op(unit,e4),e1)
| op(op(e5,unit),e1) != op(e5,op(unit,e1))
| sP32
| op(op(e5,e1),unit) != op(e5,op(e1,unit))
| op(op(e1,e5),e3) != op(e1,op(e5,e3))
| op(unit,op(unit,unit)) != op(op(unit,unit),unit)
| op(unit,e2) != op(e2,unit)
| sP22
| op(op(e5,e5),unit) != op(e5,op(e5,unit))
| op(op(e2,e2),e4) != op(e2,op(e2,e4))
| sP41
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(unit,e5),e5) != op(unit,op(e5,e5))
| op(e3,e5) != op(e5,e3)
| op(op(e1,unit),e5) != op(e1,op(unit,e5))
| op(op(e5,unit),e4) != op(e5,op(unit,e4))
| op(op(e5,e5),e5) != op(e5,op(e5,e5))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e4,e1),e5) != op(e4,op(e1,e5))
| op(e5,op(e4,unit)) != op(op(e5,e4),unit)
| op(e4,e5) != op(e5,e4)
| op(op(e1,e5),e5) != op(e1,op(e5,e5))
| unit != op(unit,unit)
| e5 != op(unit,e5)
| sP29
| op(op(e4,e3),e2) != op(e4,op(e3,e2))
| op(e1,op(unit,e2)) != op(op(e1,unit),e2)
| op(op(e4,e4),e4) != op(e4,op(e4,e4))
| op(e2,e3) != op(e3,e2)
| op(op(e5,e2),e2) != op(e5,op(e2,e2))
| op(op(e4,e4),e2) != op(e4,op(e4,e2))
| op(unit,op(e4,e5)) != op(op(unit,e4),e5)
| op(op(e4,e2),e5) != op(e4,op(e2,e5))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e5,e3),unit) != op(e5,op(e3,unit))
| op(op(e5,e5),e2) != op(e5,op(e5,e2))
| op(e4,e5) != op(e5,e4)
| op(op(e5,e3),e3) != op(e5,op(e3,e3))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| sP31
| op(op(e3,e4),e1) != op(e3,op(e4,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e2,e4),e2) != op(e2,op(e4,e2))
| unit != op(inv(e2),e2)
| op(op(e5,e5),e1) != op(e5,op(e5,e1))
| op(unit,e1) != op(e1,unit)
| op(op(e5,e2),e5) != op(e5,op(e2,e5))
| sP10
| op(e2,e5) != op(e5,e2)
| op(op(e5,e3),e2) != op(e5,op(e3,e2))
| sP9
| op(unit,e5) != op(e5,unit)
| op(op(e2,e2),e5) != op(e2,op(e2,e5))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e5,e4),e5) != op(e5,op(e4,e5))
| op(e1,op(unit,e3)) != op(op(e1,unit),e3)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(unit,e3) != op(e3,unit)
| op(op(unit,e2),e4) != op(unit,op(e2,e4))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(e1,e4),e3) != op(e1,op(e4,e3))
| op(op(e4,e2),e1) != op(e4,op(e2,e1))
| sP39
| op(op(e4,e3),e5) != op(e4,op(e3,e5))
| op(op(unit,unit),e4) != op(unit,op(unit,e4))
| e5 != op(e5,unit)
| op(unit,e5) != op(e5,unit)
| e1 != op(unit,e1)
| sP17
| unit != op(e2,inv(e2))
| op(op(unit,e1),e5) != op(unit,op(e1,e5))
| op(unit,op(e5,e1)) != op(op(unit,e5),e1)
| op(op(e1,e2),e5) != op(e1,op(e2,e5))
| op(op(e2,e5),e4) != op(e2,op(e5,e4))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| sP1
| e2 != op(e2,unit)
| op(op(e5,unit),e2) != op(e5,op(unit,e2))
| op(e3,e5) != op(e5,e3)
| unit != op(inv(e1),e1)
| op(e1,e2) != op(e2,e1)
| op(op(e1,e5),unit) != op(e1,op(e5,unit))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(e3,e3) != op(e3,e3)
| unit != op(inv(e5),e5)
| op(op(e2,e5),e5) != op(e2,op(e5,e5))
| op(unit,e2) != op(e2,unit)
| op(e2,op(e2,unit)) != op(op(e2,e2),unit)
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(e2,e3) != op(e3,e2)
| e4 != op(unit,e4)
| op(e1,e5) != op(e5,e1)
| op(op(e4,e2),e2) != op(e4,op(e2,e2))
| op(op(e2,e5),e3) != op(e2,op(e5,e3))
| sP0
| op(e1,e3) != op(e3,e1)
| op(unit,op(e2,e3)) != op(op(unit,e2),e3)
| unit != op(e5,inv(e5))
| op(op(e2,e1),e5) != op(e2,op(e1,e5))
| sP24
| op(op(e2,e4),e1) != op(e2,op(e4,e1))
| op(op(e5,unit),e5) != op(e5,op(unit,e5))
| op(e2,op(unit,e5)) != op(op(e2,unit),e5)
| e1 != op(e1,unit)
| op(op(e5,e2),e1) != op(e5,op(e2,e1))
| op(op(e5,e2),e3) != op(e5,op(e2,e3))
| op(op(e1,e4),e4) != op(e1,op(e4,e4))
| op(e1,e3) != op(e3,e1)
| sP12
| op(op(e2,e1),e4) != op(e2,op(e1,e4))
| op(e2,op(unit,e3)) != op(op(e2,unit),e3)
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| sP5
| e2 != op(unit,e2)
| op(e1,op(e4,unit)) != op(op(e1,e4),unit)
| op(e4,op(e2,unit)) != op(op(e4,e2),unit)
| op(op(e1,e1),e4) != op(e1,op(e1,e4))
| op(op(e4,e1),e3) != op(e4,op(e1,e3))
| op(op(e1,e2),e4) != op(e1,op(e2,e4))
| e4 != op(e4,unit)
| op(e2,op(unit,unit)) != op(op(e2,unit),unit)
| sP4
| op(op(e1,e5),e1) != op(e1,op(e5,e1))
| op(e3,op(unit,unit)) != op(op(e3,unit),unit)
| unit != op(e1,inv(e1))
| op(e3,e4) != op(e4,e3)
| op(op(unit,e5),e2) != op(unit,op(e5,e2))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| sP11
| sP33
| op(unit,op(e1,e1)) != op(op(unit,e1),e1)
| sP25
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(unit,op(e2,e5)) != op(op(unit,e2),e5)
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(unit,unit) != op(unit,unit)
| unit != op(e4,inv(e4))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(e2,op(unit,e1)) != op(op(e2,unit),e1)
| op(op(e3,e4),e5) != op(e3,op(e4,e5))
| op(op(e3,e5),e4) != op(e3,op(e5,e4))
| sP15
| op(op(e4,e1),e2) != op(e4,op(e1,e2))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e5,e1),e2) != op(e5,op(e1,e2))
| sP16
| op(e4,op(unit,e4)) != op(op(e4,unit),e4)
| op(unit,op(e3,e5)) != op(op(unit,e3),e5)
| sP21
| op(op(e5,e4),e3) != op(e5,op(e4,e3))
| op(op(unit,e5),e3) != op(unit,op(e5,e3))
| op(e1,e4) != op(e4,e1)
| sP35
| op(unit,e1) != op(e1,unit)
| op(op(e2,e5),e2) != op(e2,op(e5,e2))
| op(op(e1,e4),e1) != op(e1,op(e4,e1))
| op(op(e5,e2),e4) != op(e5,op(e2,e4))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(e5,unit),e3) != op(e5,op(unit,e3))
| op(op(e1,e3),e4) != op(e1,op(e3,e4))
| op(e4,op(unit,e1)) != op(op(e4,unit),e1)
| op(op(e2,e4),unit) != op(e2,op(e4,unit))
| op(unit,op(e1,unit)) != op(op(unit,e1),unit)
| op(op(e4,e5),e1) != op(e4,op(e5,e1))
| op(e1,op(unit,e1)) != op(op(e1,unit),e1)
| op(unit,op(e5,e4)) != op(op(unit,e5),e4)
| op(e1,e2) != op(e2,e1)
| op(unit,op(e3,e2)) != op(op(unit,e3),e2)
| op(e4,op(unit,e5)) != op(op(e4,unit),e5)
| op(op(e5,e4),e2) != op(e5,op(e4,e2))
| op(op(e5,e4),e4) != op(e5,op(e4,e4))
| sP38
| op(e3,op(unit,e3)) != op(op(e3,unit),e3)
| op(op(e5,e5),e3) != op(e5,op(e5,e3))
| op(op(e5,e5),e4) != op(e5,op(e5,e4))
| op(op(e3,e5),e2) != op(e3,op(e5,e2))
| op(unit,e4) != op(e4,unit)
| op(op(e4,e4),e5) != op(e4,op(e4,e5))
| op(op(e4,e3),e3) != op(e4,op(e3,e3))
| op(e1,e5) != op(e5,e1)
| op(op(e5,e3),e5) != op(e5,op(e3,e5))
| unit != op(unit,unit)
| op(e2,e4) != op(e4,e2)
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e5,e1),e1) != op(e5,op(e1,e1))
| op(unit,op(e5,unit)) != op(op(unit,e5),unit)
| op(op(e1,e5),e2) != op(e1,op(e5,e2))
| op(op(e1,e3),e5) != op(e1,op(e3,e5))
| op(op(e4,e5),e4) != op(e4,op(e5,e4))
| sP13
| op(op(e3,e5),unit) != op(e3,op(e5,unit))
| op(e5,op(e2,unit)) != op(op(e5,e2),unit)
| op(op(e3,e5),e5) != op(e3,op(e5,e5))
| unit != op(inv(e3),e3)
| sP8
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| sP34
| op(op(e3,e1),e4) != op(e3,op(e1,e4))
| op(op(e3,e2),e5) != op(e3,op(e2,e5))
| op(op(unit,e1),e4) != op(unit,op(e1,e4))
| op(op(e4,e4),unit) != op(e4,op(e4,unit))
| op(op(e1,e4),e2) != op(e1,op(e4,e2))
| op(op(e4,unit),e3) != op(e4,op(unit,e3))
| sP40
| e3 != op(e2,e2)
| op(op(e3,e4),e2) != op(e3,op(e4,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| e3 != op(unit,e3)
| op(unit,op(e4,e2)) != op(op(unit,e4),e2)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e4),e3) != op(e2,op(e4,e3))
| op(e1,e1) != op(e1,e1)
| op(e2,e2) != op(e2,e2)
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(e5,e3),e1) != op(e5,op(e3,e1))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(e1,e1),e5) != op(e1,op(e1,e5))
| op(unit,op(e3,e4)) != op(op(unit,e3),e4)
| e3 != op(e3,unit)
| op(op(e4,e5),e2) != op(e4,op(e5,e2))
| op(op(e4,e3),e4) != op(e4,op(e3,e4))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(e3,op(e3,unit)) != op(op(e3,e3),unit)
| sP3
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| sP37
| op(op(e4,e1),unit) != op(e4,op(e1,unit))
| op(op(e4,e5),e3) != op(e4,op(e5,e3))
| op(op(e5,e1),e4) != op(e5,op(e1,e4))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e4,unit),unit) != op(e4,op(unit,unit))
| op(op(unit,e4),e3) != op(unit,op(e4,e3))
| op(op(e3,e5),e3) != op(e3,op(e5,e3))
| op(op(e3,e5),e1) != op(e3,op(e5,e1))
| sP7
| op(e2,op(e5,unit)) != op(op(e2,e5),unit)
| op(op(e4,e2),e4) != op(e4,op(e2,e4))
| op(e1,op(e2,unit)) != op(op(e1,e2),unit)
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(unit,op(e2,e1)) != op(op(unit,e2),e1)
| op(op(e4,e4),e1) != op(e4,op(e4,e1))
| op(op(e2,e3),e4) != op(e2,op(e3,e4))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e3,e3),e5) != op(e3,op(e3,e5))
| op(e3,op(e4,unit)) != op(op(e3,e4),unit)
| sP23
| op(op(e2,e5),e1) != op(e2,op(e5,e1)) ),
inference(definition_unfolding,[],[f397,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108,f108]) ).
fof(f397,plain,
( op(e1,e1) != op(e1,e1)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e2,e4),e2) != op(e2,op(e4,e2))
| op(op(e5,e4),e5) != op(e5,op(e4,e5))
| op(op(e4,e0),e1) != op(e4,op(e0,e1))
| e3 != op(e2,e2)
| op(op(e5,e2),e2) != op(e5,op(e2,e2))
| op(e3,e5) != op(e5,e3)
| op(op(e4,e3),e1) != op(e4,op(e3,e1))
| op(op(e4,e2),e1) != op(e4,op(e2,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e5,e1),e3) != op(e5,op(e1,e3))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e5),e5) != op(e1,op(e5,e5))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e4,e3),e5) != op(e4,op(e3,e5))
| op(op(e4,e2),e3) != op(e4,op(e2,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e4,e5),e2) != op(e4,op(e5,e2))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e5),e4) != op(e0,op(e5,e4))
| sP41
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e5,e0),e3) != op(e5,op(e0,e3))
| op(op(e2,e5),e5) != op(e2,op(e5,e5))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| sP40
| op(e0,e5) != op(e5,e0)
| op(op(e3,e4),e0) != op(e3,op(e4,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e5,e4),e2) != op(e5,op(e4,e2))
| op(e0,e2) != op(e2,e0)
| sP39
| op(e4,e4) != op(e4,e4)
| op(op(e4,e5),e3) != op(e4,op(e5,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| sP38
| sP37
| op(op(e3,e4),e3) != op(e3,op(e4,e3))
| sP36
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| sP35
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,e3),e5) != op(e1,op(e3,e5))
| op(op(e2,e5),e1) != op(e2,op(e5,e1))
| op(op(e4,e1),e5) != op(e4,op(e1,e5))
| sP34
| op(op(e3,e1),e4) != op(e3,op(e1,e4))
| op(op(e2,e3),e4) != op(e2,op(e3,e4))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e5,e4),e4) != op(e5,op(e4,e4))
| op(op(e3,e4),e5) != op(e3,op(e4,e5))
| op(op(e2,e4),e3) != op(e2,op(e4,e3))
| op(op(e4,e0),e3) != op(e4,op(e0,e3))
| sP33
| op(e2,e3) != op(e3,e2)
| sP32
| op(e0,e5) != op(e5,e0)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e0),e2) != op(e4,op(e0,e2))
| unit != op(e1,inv(e1))
| sP31
| op(e1,e3) != op(e3,e1)
| sP30
| sP29
| sP28
| e4 != op(e4,unit)
| sP27
| op(e2,e5) != op(e5,e2)
| op(e3,e4) != op(e4,e3)
| op(op(e1,e4),e5) != op(e1,op(e4,e5))
| op(op(e4,e5),e1) != op(e4,op(e5,e1))
| op(e0,e3) != op(e3,e0)
| sP26
| op(op(e2,e4),e0) != op(e2,op(e4,e0))
| op(op(e0,e1),e5) != op(e0,op(e1,e5))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e1,e5),e3) != op(e1,op(e5,e3))
| op(op(e5,e3),e5) != op(e5,op(e3,e5))
| sP25
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e5,e3),e1) != op(e5,op(e3,e1))
| op(op(e3,e2),e5) != op(e3,op(e2,e5))
| e5 != op(unit,e5)
| op(op(e2,e0),e4) != op(e2,op(e0,e4))
| op(op(e2,e3),e5) != op(e2,op(e3,e5))
| op(op(e3,e5),e0) != op(e3,op(e5,e0))
| op(op(e1,e4),e1) != op(e1,op(e4,e1))
| op(e1,e5) != op(e5,e1)
| op(op(e4,e4),e4) != op(e4,op(e4,e4))
| e1 != op(unit,e1)
| sP24
| unit != op(inv(e4),e4)
| op(e4,e5) != op(e5,e4)
| op(op(e5,e5),e0) != op(e5,op(e5,e0))
| op(op(e4,e2),e0) != op(e4,op(e2,e0))
| op(op(e4,e0),e4) != op(e4,op(e0,e4))
| op(op(e5,e4),e0) != op(e5,op(e4,e0))
| e0 != op(e0,unit)
| sP23
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e3,e3),e5) != op(e3,op(e3,e5))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e5,e5),e1) != op(e5,op(e5,e1))
| sP22
| op(e0,e2) != op(e2,e0)
| sP21
| op(op(e4,e3),e4) != op(e4,op(e3,e4))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e2,e4),e5) != op(e2,op(e4,e5))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(e4,e5) != op(e5,e4)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(e2,e3) != op(e3,e2)
| op(op(e1,e5),e0) != op(e1,op(e5,e0))
| e3 != op(e3,unit)
| sP20
| op(op(e0,e4),e2) != op(e0,op(e4,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e0,e2),e4) != op(e0,op(e2,e4))
| op(op(e4,e3),e0) != op(e4,op(e3,e0))
| sP19
| op(op(e4,e5),e5) != op(e4,op(e5,e5))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e5),e1) != op(e3,op(e5,e1))
| op(op(e4,e5),e4) != op(e4,op(e5,e4))
| op(e3,e5) != op(e5,e3)
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(e5,e5) != op(e5,e5)
| unit != op(inv(e5),e5)
| op(op(e1,e2),e5) != op(e1,op(e2,e5))
| op(e3,e3) != op(e3,e3)
| op(op(e3,e1),e5) != op(e3,op(e1,e5))
| e2 != op(unit,e2)
| op(op(e0,e4),e5) != op(e0,op(e4,e5))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| sP18
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| sP17
| sP16
| op(e1,e3) != op(e3,e1)
| op(op(e1,e4),e4) != op(e1,op(e4,e4))
| op(op(e5,e0),e1) != op(e5,op(e0,e1))
| op(op(e2,e1),e5) != op(e2,op(e1,e5))
| sP15
| op(op(e3,e0),e4) != op(e3,op(e0,e4))
| sP14
| op(op(e5,e5),e3) != op(e5,op(e5,e3))
| op(op(e0,e5),e5) != op(e0,op(e5,e5))
| op(op(e1,e0),e5) != op(e1,op(e0,e5))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e5,e1),e4) != op(e5,op(e1,e4))
| op(op(e0,e5),e1) != op(e0,op(e5,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e5,e3),e0) != op(e5,op(e3,e0))
| op(op(e5,e5),e2) != op(e5,op(e5,e2))
| op(op(e1,e4),e0) != op(e1,op(e4,e0))
| op(op(e5,e2),e1) != op(e5,op(e2,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e5,e1),e5) != op(e5,op(e1,e5))
| op(e0,e0) != op(e0,e0)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(e0,e1) != op(e1,e0)
| op(op(e1,e4),e2) != op(e1,op(e4,e2))
| op(op(e1,e3),e4) != op(e1,op(e3,e4))
| op(op(e2,e2),e5) != op(e2,op(e2,e5))
| op(op(e4,e0),e5) != op(e4,op(e0,e5))
| op(op(e5,e2),e4) != op(e5,op(e2,e4))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e4,e5),e0) != op(e4,op(e5,e0))
| op(op(e3,e5),e3) != op(e3,op(e5,e3))
| op(op(e0,e3),e4) != op(e0,op(e3,e4))
| op(op(e0,e2),e5) != op(e0,op(e2,e5))
| op(op(e0,e1),e4) != op(e0,op(e1,e4))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e5,e2),e3) != op(e5,op(e2,e3))
| op(op(e1,e1),e4) != op(e1,op(e1,e4))
| op(op(e4,e2),e5) != op(e4,op(e2,e5))
| op(op(e3,e5),e5) != op(e3,op(e5,e5))
| op(op(e2,e2),e4) != op(e2,op(e2,e4))
| sP13
| e2 != op(e2,unit)
| op(op(e4,e4),e2) != op(e4,op(e4,e2))
| unit != op(inv(e2),e2)
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(e1,e2) != op(e2,e1)
| sP12
| op(op(e1,e5),e4) != op(e1,op(e5,e4))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e5),e0) != op(e0,op(e5,e0))
| op(op(e3,e4),e1) != op(e3,op(e4,e1))
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e0,e5),e3) != op(e0,op(e5,e3))
| op(op(e0,e5),e2) != op(e0,op(e5,e2))
| op(op(e5,e1),e1) != op(e5,op(e1,e1))
| op(op(e4,e4),e1) != op(e4,op(e4,e1))
| op(op(e5,e0),e0) != op(e5,op(e0,e0))
| op(e0,e4) != op(e4,e0)
| op(e1,e4) != op(e4,e1)
| op(op(e5,e2),e0) != op(e5,op(e2,e0))
| op(op(e5,e1),e2) != op(e5,op(e1,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(e0,e4) != op(e4,e0)
| op(op(e5,e3),e3) != op(e5,op(e3,e3))
| op(op(e2,e5),e3) != op(e2,op(e5,e3))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e4,e4),e0) != op(e4,op(e4,e0))
| op(op(e5,e4),e1) != op(e5,op(e4,e1))
| op(op(e0,e4),e1) != op(e0,op(e4,e1))
| op(op(e5,e2),e5) != op(e5,op(e2,e5))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| sP11
| op(op(e5,e3),e2) != op(e5,op(e3,e2))
| op(op(e5,e4),e3) != op(e5,op(e4,e3))
| op(op(e2,e5),e4) != op(e2,op(e5,e4))
| op(op(e0,e4),e3) != op(e0,op(e4,e3))
| e1 != op(e1,unit)
| op(op(e3,e5),e2) != op(e3,op(e5,e2))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(e0,e3) != op(e3,e0)
| op(op(e4,e1),e4) != op(e4,op(e1,e4))
| unit != op(e4,inv(e4))
| op(e0,e1) != op(e1,e0)
| unit != op(e3,inv(e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| e0 != op(unit,e0)
| op(op(e3,e4),e2) != op(e3,op(e4,e2))
| op(op(e5,e0),e4) != op(e5,op(e0,e4))
| op(op(e0,e0),e4) != op(e0,op(e0,e4))
| op(op(e0,e0),e5) != op(e0,op(e0,e5))
| unit != op(inv(e1),e1)
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| sP10
| op(op(e5,e0),e5) != op(e5,op(e0,e5))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e0),e5) != op(e3,op(e0,e5))
| op(op(e2,e5),e0) != op(e2,op(e5,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e5),e1) != op(e1,op(e5,e1))
| op(e1,e2) != op(e2,e1)
| op(op(e0,e3),e5) != op(e0,op(e3,e5))
| op(op(e4,e1),e2) != op(e4,op(e1,e2))
| op(op(e5,e1),e0) != op(e5,op(e1,e0))
| op(op(e4,e4),e3) != op(e4,op(e4,e3))
| op(op(e2,e1),e4) != op(e2,op(e1,e4))
| op(op(e3,e3),e4) != op(e3,op(e3,e4))
| op(op(e4,e4),e5) != op(e4,op(e4,e5))
| op(op(e4,e1),e3) != op(e4,op(e1,e3))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e1,e2),e4) != op(e1,op(e2,e4))
| sP9
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| e3 != op(unit,e3)
| op(op(e4,e1),e0) != op(e4,op(e1,e0))
| op(op(e3,e5),e4) != op(e3,op(e5,e4))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| sP8
| op(op(e2,e4),e4) != op(e2,op(e4,e4))
| unit != op(e2,inv(e2))
| unit != op(inv(e3),e3)
| unit != op(e5,inv(e5))
| op(op(e4,e0),e0) != op(e4,op(e0,e0))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e0),e4) != op(e1,op(e0,e4))
| op(op(e0,e4),e0) != op(e0,op(e4,e0))
| op(op(e4,e2),e2) != op(e4,op(e2,e2))
| op(op(e3,e2),e4) != op(e3,op(e2,e4))
| op(op(e5,e3),e4) != op(e5,op(e3,e4))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| sP7
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e4,e2),e4) != op(e4,op(e2,e4))
| op(op(e1,e5),e2) != op(e1,op(e5,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| sP6
| op(op(e4,e1),e1) != op(e4,op(e1,e1))
| sP5
| op(op(e4,e3),e2) != op(e4,op(e3,e2))
| op(op(e5,e5),e5) != op(e5,op(e5,e5))
| op(op(e5,e0),e2) != op(e5,op(e0,e2))
| op(op(e4,e3),e3) != op(e4,op(e3,e3))
| op(op(e2,e5),e2) != op(e2,op(e5,e2))
| sP4
| op(e2,e5) != op(e5,e2)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e0),e5) != op(e2,op(e0,e5))
| op(op(e0,e4),e4) != op(e0,op(e4,e4))
| sP3
| op(e3,e4) != op(e4,e3)
| op(e1,e5) != op(e5,e1)
| op(op(e3,e4),e4) != op(e3,op(e4,e4))
| unit != op(e0,inv(e0))
| op(op(e1,e4),e3) != op(e1,op(e4,e3))
| e4 != op(unit,e4)
| op(e2,e2) != op(e2,e2)
| op(op(e1,e1),e5) != op(e1,op(e1,e5))
| sP2
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| sP1
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| e5 != op(e5,unit)
| unit != op(inv(e0),e0)
| op(op(e2,e4),e1) != op(e2,op(e4,e1))
| sP0
| op(op(e5,e5),e4) != op(e5,op(e5,e4)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( op(e1,e1) != op(e1,e1)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e2,e4),e2) != op(e2,op(e4,e2))
| op(op(e5,e4),e5) != op(e5,op(e4,e5))
| op(op(e4,e0),e1) != op(e4,op(e0,e1))
| ( e1 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2)
& e5 != op(e2,e2)
& e3 != op(e2,e2) )
| op(op(e5,e2),e2) != op(e5,op(e2,e2))
| op(e3,e5) != op(e5,e3)
| op(op(e4,e3),e1) != op(e4,op(e3,e1))
| op(op(e4,e2),e1) != op(e4,op(e2,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e5,e1),e3) != op(e5,op(e1,e3))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e5),e5) != op(e1,op(e5,e5))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e4,e3),e5) != op(e4,op(e3,e5))
| op(op(e4,e2),e3) != op(e4,op(e2,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e4,e5),e2) != op(e4,op(e5,e2))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e5),e4) != op(e0,op(e5,e4))
| sP41
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e5,e0),e3) != op(e5,op(e0,e3))
| op(op(e2,e5),e5) != op(e2,op(e5,e5))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| sP40
| op(e0,e5) != op(e5,e0)
| op(op(e3,e4),e0) != op(e3,op(e4,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e5,e4),e2) != op(e5,op(e4,e2))
| op(e0,e2) != op(e2,e0)
| sP39
| op(e4,e4) != op(e4,e4)
| op(op(e4,e5),e3) != op(e4,op(e5,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| sP38
| sP37
| op(op(e3,e4),e3) != op(e3,op(e4,e3))
| sP36
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| sP35
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,e3),e5) != op(e1,op(e3,e5))
| op(op(e2,e5),e1) != op(e2,op(e5,e1))
| op(op(e4,e1),e5) != op(e4,op(e1,e5))
| sP34
| op(op(e3,e1),e4) != op(e3,op(e1,e4))
| op(op(e2,e3),e4) != op(e2,op(e3,e4))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e5,e4),e4) != op(e5,op(e4,e4))
| op(op(e3,e4),e5) != op(e3,op(e4,e5))
| op(op(e2,e4),e3) != op(e2,op(e4,e3))
| op(op(e4,e0),e3) != op(e4,op(e0,e3))
| sP33
| op(e2,e3) != op(e3,e2)
| sP32
| op(e0,e5) != op(e5,e0)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e0),e2) != op(e4,op(e0,e2))
| unit != op(e1,inv(e1))
| sP31
| op(e1,e3) != op(e3,e1)
| sP30
| sP29
| sP28
| e4 != op(e4,unit)
| sP27
| op(e2,e5) != op(e5,e2)
| op(e3,e4) != op(e4,e3)
| op(op(e1,e4),e5) != op(e1,op(e4,e5))
| op(op(e4,e5),e1) != op(e4,op(e5,e1))
| op(e0,e3) != op(e3,e0)
| sP26
| op(op(e2,e4),e0) != op(e2,op(e4,e0))
| op(op(e0,e1),e5) != op(e0,op(e1,e5))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e1,e5),e3) != op(e1,op(e5,e3))
| op(op(e5,e3),e5) != op(e5,op(e3,e5))
| sP25
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e5,e3),e1) != op(e5,op(e3,e1))
| op(op(e3,e2),e5) != op(e3,op(e2,e5))
| e5 != op(unit,e5)
| op(op(e2,e0),e4) != op(e2,op(e0,e4))
| op(op(e2,e3),e5) != op(e2,op(e3,e5))
| op(op(e3,e5),e0) != op(e3,op(e5,e0))
| op(op(e1,e4),e1) != op(e1,op(e4,e1))
| op(e1,e5) != op(e5,e1)
| op(op(e4,e4),e4) != op(e4,op(e4,e4))
| e1 != op(unit,e1)
| sP24
| unit != op(inv(e4),e4)
| op(e4,e5) != op(e5,e4)
| op(op(e5,e5),e0) != op(e5,op(e5,e0))
| op(op(e4,e2),e0) != op(e4,op(e2,e0))
| op(op(e4,e0),e4) != op(e4,op(e0,e4))
| op(op(e5,e4),e0) != op(e5,op(e4,e0))
| e0 != op(e0,unit)
| sP23
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e3,e3),e5) != op(e3,op(e3,e5))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e5,e5),e1) != op(e5,op(e5,e1))
| sP22
| op(e0,e2) != op(e2,e0)
| sP21
| op(op(e4,e3),e4) != op(e4,op(e3,e4))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e2,e4),e5) != op(e2,op(e4,e5))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(e4,e5) != op(e5,e4)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(e2,e3) != op(e3,e2)
| op(op(e1,e5),e0) != op(e1,op(e5,e0))
| e3 != op(e3,unit)
| sP20
| op(op(e0,e4),e2) != op(e0,op(e4,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e0,e2),e4) != op(e0,op(e2,e4))
| op(op(e4,e3),e0) != op(e4,op(e3,e0))
| sP19
| op(op(e4,e5),e5) != op(e4,op(e5,e5))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e5),e1) != op(e3,op(e5,e1))
| op(op(e4,e5),e4) != op(e4,op(e5,e4))
| op(e3,e5) != op(e5,e3)
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(e5,e5) != op(e5,e5)
| unit != op(inv(e5),e5)
| op(op(e1,e2),e5) != op(e1,op(e2,e5))
| op(e3,e3) != op(e3,e3)
| op(op(e3,e1),e5) != op(e3,op(e1,e5))
| e2 != op(unit,e2)
| op(op(e0,e4),e5) != op(e0,op(e4,e5))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| sP18
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| sP17
| sP16
| op(e1,e3) != op(e3,e1)
| op(op(e1,e4),e4) != op(e1,op(e4,e4))
| op(op(e5,e0),e1) != op(e5,op(e0,e1))
| op(op(e2,e1),e5) != op(e2,op(e1,e5))
| sP15
| op(op(e3,e0),e4) != op(e3,op(e0,e4))
| sP14
| op(op(e5,e5),e3) != op(e5,op(e5,e3))
| op(op(e0,e5),e5) != op(e0,op(e5,e5))
| op(op(e1,e0),e5) != op(e1,op(e0,e5))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e5,e1),e4) != op(e5,op(e1,e4))
| op(op(e0,e5),e1) != op(e0,op(e5,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e5,e3),e0) != op(e5,op(e3,e0))
| op(op(e5,e5),e2) != op(e5,op(e5,e2))
| op(op(e1,e4),e0) != op(e1,op(e4,e0))
| op(op(e5,e2),e1) != op(e5,op(e2,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e5,e1),e5) != op(e5,op(e1,e5))
| op(e0,e0) != op(e0,e0)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(e0,e1) != op(e1,e0)
| op(op(e1,e4),e2) != op(e1,op(e4,e2))
| op(op(e1,e3),e4) != op(e1,op(e3,e4))
| op(op(e2,e2),e5) != op(e2,op(e2,e5))
| op(op(e4,e0),e5) != op(e4,op(e0,e5))
| op(op(e5,e2),e4) != op(e5,op(e2,e4))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e4,e5),e0) != op(e4,op(e5,e0))
| op(op(e3,e5),e3) != op(e3,op(e5,e3))
| op(op(e0,e3),e4) != op(e0,op(e3,e4))
| op(op(e0,e2),e5) != op(e0,op(e2,e5))
| op(op(e0,e1),e4) != op(e0,op(e1,e4))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e5,e2),e3) != op(e5,op(e2,e3))
| op(op(e1,e1),e4) != op(e1,op(e1,e4))
| op(op(e4,e2),e5) != op(e4,op(e2,e5))
| op(op(e3,e5),e5) != op(e3,op(e5,e5))
| op(op(e2,e2),e4) != op(e2,op(e2,e4))
| sP13
| e2 != op(e2,unit)
| op(op(e4,e4),e2) != op(e4,op(e4,e2))
| unit != op(inv(e2),e2)
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(e1,e2) != op(e2,e1)
| sP12
| op(op(e1,e5),e4) != op(e1,op(e5,e4))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e5),e0) != op(e0,op(e5,e0))
| op(op(e3,e4),e1) != op(e3,op(e4,e1))
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e0,e5),e3) != op(e0,op(e5,e3))
| op(op(e0,e5),e2) != op(e0,op(e5,e2))
| op(op(e5,e1),e1) != op(e5,op(e1,e1))
| op(op(e4,e4),e1) != op(e4,op(e4,e1))
| op(op(e5,e0),e0) != op(e5,op(e0,e0))
| op(e0,e4) != op(e4,e0)
| op(e1,e4) != op(e4,e1)
| op(op(e5,e2),e0) != op(e5,op(e2,e0))
| op(op(e5,e1),e2) != op(e5,op(e1,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(e0,e4) != op(e4,e0)
| op(op(e5,e3),e3) != op(e5,op(e3,e3))
| op(op(e2,e5),e3) != op(e2,op(e5,e3))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e4,e4),e0) != op(e4,op(e4,e0))
| op(op(e5,e4),e1) != op(e5,op(e4,e1))
| op(op(e0,e4),e1) != op(e0,op(e4,e1))
| op(op(e5,e2),e5) != op(e5,op(e2,e5))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| sP11
| op(op(e5,e3),e2) != op(e5,op(e3,e2))
| op(op(e5,e4),e3) != op(e5,op(e4,e3))
| op(op(e2,e5),e4) != op(e2,op(e5,e4))
| op(op(e0,e4),e3) != op(e0,op(e4,e3))
| e1 != op(e1,unit)
| op(op(e3,e5),e2) != op(e3,op(e5,e2))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(e0,e3) != op(e3,e0)
| op(op(e4,e1),e4) != op(e4,op(e1,e4))
| unit != op(e4,inv(e4))
| op(e0,e1) != op(e1,e0)
| unit != op(e3,inv(e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| e0 != op(unit,e0)
| op(op(e3,e4),e2) != op(e3,op(e4,e2))
| op(op(e5,e0),e4) != op(e5,op(e0,e4))
| op(op(e0,e0),e4) != op(e0,op(e0,e4))
| op(op(e0,e0),e5) != op(e0,op(e0,e5))
| unit != op(inv(e1),e1)
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| sP10
| op(op(e5,e0),e5) != op(e5,op(e0,e5))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e0),e5) != op(e3,op(e0,e5))
| op(op(e2,e5),e0) != op(e2,op(e5,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e5),e1) != op(e1,op(e5,e1))
| op(e1,e2) != op(e2,e1)
| op(op(e0,e3),e5) != op(e0,op(e3,e5))
| op(op(e4,e1),e2) != op(e4,op(e1,e2))
| op(op(e5,e1),e0) != op(e5,op(e1,e0))
| op(op(e4,e4),e3) != op(e4,op(e4,e3))
| op(op(e2,e1),e4) != op(e2,op(e1,e4))
| op(op(e3,e3),e4) != op(e3,op(e3,e4))
| op(op(e4,e4),e5) != op(e4,op(e4,e5))
| op(op(e4,e1),e3) != op(e4,op(e1,e3))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e1,e2),e4) != op(e1,op(e2,e4))
| sP9
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| e3 != op(unit,e3)
| op(op(e4,e1),e0) != op(e4,op(e1,e0))
| op(op(e3,e5),e4) != op(e3,op(e5,e4))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| sP8
| op(op(e2,e4),e4) != op(e2,op(e4,e4))
| unit != op(e2,inv(e2))
| unit != op(inv(e3),e3)
| unit != op(e5,inv(e5))
| op(op(e4,e0),e0) != op(e4,op(e0,e0))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e0),e4) != op(e1,op(e0,e4))
| op(op(e0,e4),e0) != op(e0,op(e4,e0))
| op(op(e4,e2),e2) != op(e4,op(e2,e2))
| op(op(e3,e2),e4) != op(e3,op(e2,e4))
| op(op(e5,e3),e4) != op(e5,op(e3,e4))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| sP7
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e4,e2),e4) != op(e4,op(e2,e4))
| op(op(e1,e5),e2) != op(e1,op(e5,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| sP6
| op(op(e4,e1),e1) != op(e4,op(e1,e1))
| sP5
| op(op(e4,e3),e2) != op(e4,op(e3,e2))
| op(op(e5,e5),e5) != op(e5,op(e5,e5))
| op(op(e5,e0),e2) != op(e5,op(e0,e2))
| op(op(e4,e3),e3) != op(e4,op(e3,e3))
| op(op(e2,e5),e2) != op(e2,op(e5,e2))
| sP4
| op(e2,e5) != op(e5,e2)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e0),e5) != op(e2,op(e0,e5))
| op(op(e0,e4),e4) != op(e0,op(e4,e4))
| sP3
| op(e3,e4) != op(e4,e3)
| op(e1,e5) != op(e5,e1)
| op(op(e3,e4),e4) != op(e3,op(e4,e4))
| unit != op(e0,inv(e0))
| op(op(e1,e4),e3) != op(e1,op(e4,e3))
| e4 != op(unit,e4)
| op(e2,e2) != op(e2,e2)
| op(op(e1,e1),e5) != op(e1,op(e1,e5))
| sP2
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| sP1
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| e5 != op(e5,unit)
| unit != op(inv(e0),e0)
| op(op(e2,e4),e1) != op(e2,op(e4,e1))
| sP0
| op(op(e5,e5),e4) != op(e5,op(e5,e4)) ),
inference(definition_folding,[],[f7,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
( ( e0 != op(e5,e4)
& e4 != op(e5,e4)
& e2 != op(e5,e4)
& e5 != op(e5,e4)
& e3 != op(e5,e4)
& e1 != op(e5,e4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
( ( e3 != inv(e3)
& e5 != inv(e3)
& e4 != inv(e3)
& e0 != inv(e3)
& e2 != inv(e3)
& e1 != inv(e3) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
( ( e4 != unit
& e3 != unit
& e1 != unit
& e5 != unit
& e2 != unit
& e0 != unit )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
( ( e2 != op(e5,e5)
& e5 != op(e5,e5)
& e1 != op(e5,e5)
& e3 != op(e5,e5)
& e0 != op(e5,e5)
& e4 != op(e5,e5) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
( ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e5 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
( ( e5 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( e1 != op(e5,e1)
& e3 != op(e5,e1)
& e2 != op(e5,e1)
& e4 != op(e5,e1)
& e0 != op(e5,e1)
& e5 != op(e5,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
( ( e0 != op(e1,e5)
& e3 != op(e1,e5)
& e1 != op(e1,e5)
& e5 != op(e1,e5)
& e4 != op(e1,e5)
& e2 != op(e1,e5) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
( ( e4 != op(e1,e0)
& e1 != op(e1,e0)
& e5 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
( ( e1 != inv(e4)
& e4 != inv(e4)
& e5 != inv(e4)
& e3 != inv(e4)
& e2 != inv(e4)
& e0 != inv(e4) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
( ( e1 != op(e4,e0)
& e5 != op(e4,e0)
& e3 != op(e4,e0)
& e0 != op(e4,e0)
& e4 != op(e4,e0)
& e2 != op(e4,e0) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
( ( e4 != op(e5,e2)
& e2 != op(e5,e2)
& e0 != op(e5,e2)
& e3 != op(e5,e2)
& e1 != op(e5,e2)
& e5 != op(e5,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
( ( e2 != inv(e1)
& e3 != inv(e1)
& e0 != inv(e1)
& e1 != inv(e1)
& e4 != inv(e1)
& e5 != inv(e1) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e5 != op(e4,e3)
& e0 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
( ( e1 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1)
& e5 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
( ( e0 != inv(e5)
& e5 != inv(e5)
& e2 != inv(e5)
& e4 != inv(e5)
& e1 != inv(e5)
& e3 != inv(e5) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f35,plain,
( ( e4 != op(e5,e3)
& e5 != op(e5,e3)
& e2 != op(e5,e3)
& e3 != op(e5,e3)
& e1 != op(e5,e3)
& e0 != op(e5,e3) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f37,plain,
( ( e4 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e5 != op(e0,e3)
& e0 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f39,plain,
( ( e5 != op(e1,e2)
& e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f41,plain,
( ( e4 != op(e3,e0)
& e1 != op(e3,e0)
& e5 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f45,plain,
( ( e3 != op(e0,e5)
& e5 != op(e0,e5)
& e4 != op(e0,e5)
& e2 != op(e0,e5)
& e0 != op(e0,e5)
& e1 != op(e0,e5) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f47,plain,
( ( e5 != op(e3,e2)
& e4 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f7,plain,
( op(e1,e1) != op(e1,e1)
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e2,e4),e2) != op(e2,op(e4,e2))
| op(op(e5,e4),e5) != op(e5,op(e4,e5))
| op(op(e4,e0),e1) != op(e4,op(e0,e1))
| ( e1 != op(e2,e2)
& e4 != op(e2,e2)
& e0 != op(e2,e2)
& e2 != op(e2,e2)
& e5 != op(e2,e2)
& e3 != op(e2,e2) )
| op(op(e5,e2),e2) != op(e5,op(e2,e2))
| op(e3,e5) != op(e5,e3)
| op(op(e4,e3),e1) != op(e4,op(e3,e1))
| op(op(e4,e2),e1) != op(e4,op(e2,e1))
| op(op(e0,e3),e0) != op(e0,op(e3,e0))
| op(op(e5,e1),e3) != op(e5,op(e1,e3))
| op(op(e0,e3),e3) != op(e0,op(e3,e3))
| op(op(e1,e5),e5) != op(e1,op(e5,e5))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(op(e4,e3),e5) != op(e4,op(e3,e5))
| op(op(e4,e2),e3) != op(e4,op(e2,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e3,e2),e0) != op(e3,op(e2,e0))
| op(op(e4,e5),e2) != op(e4,op(e5,e2))
| op(op(e3,e0),e0) != op(e3,op(e0,e0))
| op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e5),e4) != op(e0,op(e5,e4))
| ( e3 != op(e3,e3)
& e1 != op(e3,e3)
& e5 != op(e3,e3)
& e0 != op(e3,e3)
& e2 != op(e3,e3)
& e4 != op(e3,e3) )
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e5,e0),e3) != op(e5,op(e0,e3))
| op(op(e2,e5),e5) != op(e2,op(e5,e5))
| op(op(e2,e1),e0) != op(e2,op(e1,e0))
| ( e4 != op(e0,e2)
& e0 != op(e0,e2)
& e1 != op(e0,e2)
& e2 != op(e0,e2)
& e3 != op(e0,e2)
& e5 != op(e0,e2) )
| op(e0,e5) != op(e5,e0)
| op(op(e3,e4),e0) != op(e3,op(e4,e0))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e0),e1) != op(e1,op(e0,e1))
| op(op(e5,e4),e2) != op(e5,op(e4,e2))
| op(e0,e2) != op(e2,e0)
| ( e5 != op(e3,e2)
& e4 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2) )
| op(e4,e4) != op(e4,e4)
| op(op(e4,e5),e3) != op(e4,op(e5,e3))
| op(op(e3,e0),e2) != op(e3,op(e0,e2))
| ( e4 != inv(e2)
& e2 != inv(e2)
& e5 != inv(e2)
& e3 != inv(e2)
& e0 != inv(e2)
& e1 != inv(e2) )
| ( e3 != op(e0,e5)
& e5 != op(e0,e5)
& e4 != op(e0,e5)
& e2 != op(e0,e5)
& e0 != op(e0,e5)
& e1 != op(e0,e5) )
| op(op(e3,e4),e3) != op(e3,op(e4,e3))
| ( e1 != op(e2,e4)
& e4 != op(e2,e4)
& e5 != op(e2,e4)
& e0 != op(e2,e4)
& e2 != op(e2,e4)
& e3 != op(e2,e4) )
| op(op(e3,e1),e0) != op(e3,op(e1,e0))
| ( e0 != op(e0,e1)
& e5 != op(e0,e1)
& e4 != op(e0,e1)
& e2 != op(e0,e1)
& e3 != op(e0,e1)
& e1 != op(e0,e1) )
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e1,e3),e5) != op(e1,op(e3,e5))
| op(op(e2,e5),e1) != op(e2,op(e5,e1))
| op(op(e4,e1),e5) != op(e4,op(e1,e5))
| ( e1 != op(e1,e1)
& e3 != op(e1,e1)
& e0 != op(e1,e1)
& e4 != op(e1,e1)
& e5 != op(e1,e1)
& e2 != op(e1,e1) )
| op(op(e3,e1),e4) != op(e3,op(e1,e4))
| op(op(e2,e3),e4) != op(e2,op(e3,e4))
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e5,e4),e4) != op(e5,op(e4,e4))
| op(op(e3,e4),e5) != op(e3,op(e4,e5))
| op(op(e2,e4),e3) != op(e2,op(e4,e3))
| op(op(e4,e0),e3) != op(e4,op(e0,e3))
| ( e4 != op(e3,e0)
& e1 != op(e3,e0)
& e5 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e2 != op(e3,e0) )
| op(e2,e3) != op(e3,e2)
| ( e0 != op(e4,e1)
& e4 != op(e4,e1)
& e2 != op(e4,e1)
& e3 != op(e4,e1)
& e1 != op(e4,e1)
& e5 != op(e4,e1) )
| op(e0,e5) != op(e5,e0)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e0),e2) != op(e4,op(e0,e2))
| unit != op(e1,inv(e1))
| ( e5 != op(e1,e2)
& e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| op(e1,e3) != op(e3,e1)
| ( e2 != op(e1,e4)
& e5 != op(e1,e4)
& e3 != op(e1,e4)
& e4 != op(e1,e4)
& e0 != op(e1,e4)
& e1 != op(e1,e4) )
| ( e4 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e5 != op(e0,e3)
& e0 != op(e0,e3)
& e3 != op(e0,e3) )
| ( e4 != op(e4,e4)
& e1 != op(e4,e4)
& e2 != op(e4,e4)
& e0 != op(e4,e4)
& e3 != op(e4,e4)
& e5 != op(e4,e4) )
| e4 != op(e4,unit)
| ( e4 != op(e5,e3)
& e5 != op(e5,e3)
& e2 != op(e5,e3)
& e3 != op(e5,e3)
& e1 != op(e5,e3)
& e0 != op(e5,e3) )
| op(e2,e5) != op(e5,e2)
| op(e3,e4) != op(e4,e3)
| op(op(e1,e4),e5) != op(e1,op(e4,e5))
| op(op(e4,e5),e1) != op(e4,op(e5,e1))
| op(e0,e3) != op(e3,e0)
| ( e1 != op(e3,e5)
& e5 != op(e3,e5)
& e0 != op(e3,e5)
& e3 != op(e3,e5)
& e4 != op(e3,e5)
& e2 != op(e3,e5) )
| op(op(e2,e4),e0) != op(e2,op(e4,e0))
| op(op(e0,e1),e5) != op(e0,op(e1,e5))
| op(op(e3,e0),e3) != op(e3,op(e0,e3))
| op(op(e1,e5),e3) != op(e1,op(e5,e3))
| op(op(e5,e3),e5) != op(e5,op(e3,e5))
| ( e1 != op(e4,e5)
& e2 != op(e4,e5)
& e0 != op(e4,e5)
& e5 != op(e4,e5)
& e4 != op(e4,e5)
& e3 != op(e4,e5) )
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(op(e5,e3),e1) != op(e5,op(e3,e1))
| op(op(e3,e2),e5) != op(e3,op(e2,e5))
| e5 != op(unit,e5)
| op(op(e2,e0),e4) != op(e2,op(e0,e4))
| op(op(e2,e3),e5) != op(e2,op(e3,e5))
| op(op(e3,e5),e0) != op(e3,op(e5,e0))
| op(op(e1,e4),e1) != op(e1,op(e4,e1))
| op(e1,e5) != op(e5,e1)
| op(op(e4,e4),e4) != op(e4,op(e4,e4))
| e1 != op(unit,e1)
| ( e3 != op(e3,e4)
& e5 != op(e3,e4)
& e0 != op(e3,e4)
& e1 != op(e3,e4)
& e2 != op(e3,e4)
& e4 != op(e3,e4) )
| unit != op(inv(e4),e4)
| op(e4,e5) != op(e5,e4)
| op(op(e5,e5),e0) != op(e5,op(e5,e0))
| op(op(e4,e2),e0) != op(e4,op(e2,e0))
| op(op(e4,e0),e4) != op(e4,op(e0,e4))
| op(op(e5,e4),e0) != op(e5,op(e4,e0))
| e0 != op(e0,unit)
| ( e0 != inv(e5)
& e5 != inv(e5)
& e2 != inv(e5)
& e4 != inv(e5)
& e1 != inv(e5)
& e3 != inv(e5) )
| op(op(e0,e2),e3) != op(e0,op(e2,e3))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e3,e3),e5) != op(e3,op(e3,e5))
| op(op(e0,e2),e1) != op(e0,op(e2,e1))
| op(op(e5,e5),e1) != op(e5,op(e5,e1))
| ( e1 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1)
& e5 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1) )
| op(e0,e2) != op(e2,e0)
| ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e5 != op(e4,e3)
& e0 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3) )
| op(op(e4,e3),e4) != op(e4,op(e3,e4))
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e2,e4),e5) != op(e2,op(e4,e5))
| op(op(e3,e0),e1) != op(e3,op(e0,e1))
| op(e4,e5) != op(e5,e4)
| op(op(e0,e3),e1) != op(e0,op(e3,e1))
| op(e2,e3) != op(e3,e2)
| op(op(e1,e5),e0) != op(e1,op(e5,e0))
| e3 != op(e3,unit)
| ( e0 != op(e2,e0)
& e5 != op(e2,e0)
& e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0) )
| op(op(e0,e4),e2) != op(e0,op(e4,e2))
| op(op(e1,e0),e3) != op(e1,op(e0,e3))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e0,e2),e4) != op(e0,op(e2,e4))
| op(op(e4,e3),e0) != op(e4,op(e3,e0))
| ( e2 != inv(e1)
& e3 != inv(e1)
& e0 != inv(e1)
& e1 != inv(e1)
& e4 != inv(e1)
& e5 != inv(e1) )
| op(op(e4,e5),e5) != op(e4,op(e5,e5))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e5),e1) != op(e3,op(e5,e1))
| op(op(e4,e5),e4) != op(e4,op(e5,e4))
| op(e3,e5) != op(e5,e3)
| op(op(e2,e3),e0) != op(e2,op(e3,e0))
| op(e5,e5) != op(e5,e5)
| unit != op(inv(e5),e5)
| op(op(e1,e2),e5) != op(e1,op(e2,e5))
| op(e3,e3) != op(e3,e3)
| op(op(e3,e1),e5) != op(e3,op(e1,e5))
| e2 != op(unit,e2)
| op(op(e0,e4),e5) != op(e0,op(e4,e5))
| op(op(e2,e0),e3) != op(e2,op(e0,e3))
| ( e4 != op(e5,e2)
& e2 != op(e5,e2)
& e0 != op(e5,e2)
& e3 != op(e5,e2)
& e1 != op(e5,e2)
& e5 != op(e5,e2) )
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| ( e1 != op(e4,e0)
& e5 != op(e4,e0)
& e3 != op(e4,e0)
& e0 != op(e4,e0)
& e4 != op(e4,e0)
& e2 != op(e4,e0) )
| ( e1 != inv(e4)
& e4 != inv(e4)
& e5 != inv(e4)
& e3 != inv(e4)
& e2 != inv(e4)
& e0 != inv(e4) )
| op(e1,e3) != op(e3,e1)
| op(op(e1,e4),e4) != op(e1,op(e4,e4))
| op(op(e5,e0),e1) != op(e5,op(e0,e1))
| op(op(e2,e1),e5) != op(e2,op(e1,e5))
| ( e5 != inv(e0)
& e1 != inv(e0)
& e3 != inv(e0)
& e4 != inv(e0)
& e0 != inv(e0)
& e2 != inv(e0) )
| op(op(e3,e0),e4) != op(e3,op(e0,e4))
| ( e4 != op(e1,e0)
& e1 != op(e1,e0)
& e5 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| op(op(e5,e5),e3) != op(e5,op(e5,e3))
| op(op(e0,e5),e5) != op(e0,op(e5,e5))
| op(op(e1,e0),e5) != op(e1,op(e0,e5))
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(op(e5,e1),e4) != op(e5,op(e1,e4))
| op(op(e0,e5),e1) != op(e0,op(e5,e1))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e5,e3),e0) != op(e5,op(e3,e0))
| op(op(e5,e5),e2) != op(e5,op(e5,e2))
| op(op(e1,e4),e0) != op(e1,op(e4,e0))
| op(op(e5,e2),e1) != op(e5,op(e2,e1))
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e5,e1),e5) != op(e5,op(e1,e5))
| op(e0,e0) != op(e0,e0)
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(e0,e1) != op(e1,e0)
| op(op(e1,e4),e2) != op(e1,op(e4,e2))
| op(op(e1,e3),e4) != op(e1,op(e3,e4))
| op(op(e2,e2),e5) != op(e2,op(e2,e5))
| op(op(e4,e0),e5) != op(e4,op(e0,e5))
| op(op(e5,e2),e4) != op(e5,op(e2,e4))
| op(op(e1,e3),e0) != op(e1,op(e3,e0))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e4,e5),e0) != op(e4,op(e5,e0))
| op(op(e3,e5),e3) != op(e3,op(e5,e3))
| op(op(e0,e3),e4) != op(e0,op(e3,e4))
| op(op(e0,e2),e5) != op(e0,op(e2,e5))
| op(op(e0,e1),e4) != op(e0,op(e1,e4))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e5,e2),e3) != op(e5,op(e2,e3))
| op(op(e1,e1),e4) != op(e1,op(e1,e4))
| op(op(e4,e2),e5) != op(e4,op(e2,e5))
| op(op(e3,e5),e5) != op(e3,op(e5,e5))
| op(op(e2,e2),e4) != op(e2,op(e2,e4))
| ( e0 != op(e1,e5)
& e3 != op(e1,e5)
& e1 != op(e1,e5)
& e5 != op(e1,e5)
& e4 != op(e1,e5)
& e2 != op(e1,e5) )
| e2 != op(e2,unit)
| op(op(e4,e4),e2) != op(e4,op(e4,e2))
| unit != op(inv(e2),e2)
| op(op(e0,e3),e2) != op(e0,op(e3,e2))
| op(e1,e2) != op(e2,e1)
| ( e1 != op(e5,e1)
& e3 != op(e5,e1)
& e2 != op(e5,e1)
& e4 != op(e5,e1)
& e0 != op(e5,e1)
& e5 != op(e5,e1) )
| op(op(e1,e5),e4) != op(e1,op(e5,e4))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e5),e0) != op(e0,op(e5,e0))
| op(op(e3,e4),e1) != op(e3,op(e4,e1))
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e0,e5),e3) != op(e0,op(e5,e3))
| op(op(e0,e5),e2) != op(e0,op(e5,e2))
| op(op(e5,e1),e1) != op(e5,op(e1,e1))
| op(op(e4,e4),e1) != op(e4,op(e4,e1))
| op(op(e5,e0),e0) != op(e5,op(e0,e0))
| op(e0,e4) != op(e4,e0)
| op(e1,e4) != op(e4,e1)
| op(op(e5,e2),e0) != op(e5,op(e2,e0))
| op(op(e5,e1),e2) != op(e5,op(e1,e2))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(e0,e4) != op(e4,e0)
| op(op(e5,e3),e3) != op(e5,op(e3,e3))
| op(op(e2,e5),e3) != op(e2,op(e5,e3))
| op(op(e0,e1),e0) != op(e0,op(e1,e0))
| op(op(e4,e4),e0) != op(e4,op(e4,e0))
| op(op(e5,e4),e1) != op(e5,op(e4,e1))
| op(op(e0,e4),e1) != op(e0,op(e4,e1))
| op(op(e5,e2),e5) != op(e5,op(e2,e5))
| op(op(e2,e0),e1) != op(e2,op(e0,e1))
| ( e5 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| op(op(e5,e3),e2) != op(e5,op(e3,e2))
| op(op(e5,e4),e3) != op(e5,op(e4,e3))
| op(op(e2,e5),e4) != op(e2,op(e5,e4))
| op(op(e0,e4),e3) != op(e0,op(e4,e3))
| e1 != op(e1,unit)
| op(op(e3,e5),e2) != op(e3,op(e5,e2))
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(e0,e3) != op(e3,e0)
| op(op(e4,e1),e4) != op(e4,op(e1,e4))
| unit != op(e4,inv(e4))
| op(e0,e1) != op(e1,e0)
| unit != op(e3,inv(e3))
| op(op(e0,e1),e2) != op(e0,op(e1,e2))
| e0 != op(unit,e0)
| op(op(e3,e4),e2) != op(e3,op(e4,e2))
| op(op(e5,e0),e4) != op(e5,op(e0,e4))
| op(op(e0,e0),e4) != op(e0,op(e0,e4))
| op(op(e0,e0),e5) != op(e0,op(e0,e5))
| unit != op(inv(e1),e1)
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| ( e3 != op(e3,e1)
& e5 != op(e3,e1)
& e0 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e4 != op(e3,e1) )
| op(op(e5,e0),e5) != op(e5,op(e0,e5))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e0),e5) != op(e3,op(e0,e5))
| op(op(e2,e5),e0) != op(e2,op(e5,e0))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e1,e5),e1) != op(e1,op(e5,e1))
| op(e1,e2) != op(e2,e1)
| op(op(e0,e3),e5) != op(e0,op(e3,e5))
| op(op(e4,e1),e2) != op(e4,op(e1,e2))
| op(op(e5,e1),e0) != op(e5,op(e1,e0))
| op(op(e4,e4),e3) != op(e4,op(e4,e3))
| op(op(e2,e1),e4) != op(e2,op(e1,e4))
| op(op(e3,e3),e4) != op(e3,op(e3,e4))
| op(op(e4,e4),e5) != op(e4,op(e4,e5))
| op(op(e4,e1),e3) != op(e4,op(e1,e3))
| op(op(e0,e1),e3) != op(e0,op(e1,e3))
| op(op(e1,e2),e4) != op(e1,op(e2,e4))
| ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e5 != op(e0,e0)
& e0 != op(e0,e0) )
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| e3 != op(unit,e3)
| op(op(e4,e1),e0) != op(e4,op(e1,e0))
| op(op(e3,e5),e4) != op(e3,op(e5,e4))
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| ( e2 != op(e5,e5)
& e5 != op(e5,e5)
& e1 != op(e5,e5)
& e3 != op(e5,e5)
& e0 != op(e5,e5)
& e4 != op(e5,e5) )
| op(op(e2,e4),e4) != op(e2,op(e4,e4))
| unit != op(e2,inv(e2))
| unit != op(inv(e3),e3)
| unit != op(e5,inv(e5))
| op(op(e4,e0),e0) != op(e4,op(e0,e0))
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e0),e4) != op(e1,op(e0,e4))
| op(op(e0,e4),e0) != op(e0,op(e4,e0))
| op(op(e4,e2),e2) != op(e4,op(e2,e2))
| op(op(e3,e2),e4) != op(e3,op(e2,e4))
| op(op(e5,e3),e4) != op(e5,op(e3,e4))
| op(op(e1,e0),e0) != op(e1,op(e0,e0))
| ( e4 != unit
& e3 != unit
& e1 != unit
& e5 != unit
& e2 != unit
& e0 != unit )
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e4,e2),e4) != op(e4,op(e2,e4))
| op(op(e1,e5),e2) != op(e1,op(e5,e2))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| ( e3 != op(e0,e4)
& e1 != op(e0,e4)
& e5 != op(e0,e4)
& e4 != op(e0,e4)
& e2 != op(e0,e4)
& e0 != op(e0,e4) )
| op(op(e4,e1),e1) != op(e4,op(e1,e1))
| ( e5 != op(e2,e5)
& e4 != op(e2,e5)
& e2 != op(e2,e5)
& e1 != op(e2,e5)
& e3 != op(e2,e5)
& e0 != op(e2,e5) )
| op(op(e4,e3),e2) != op(e4,op(e3,e2))
| op(op(e5,e5),e5) != op(e5,op(e5,e5))
| op(op(e5,e0),e2) != op(e5,op(e0,e2))
| op(op(e4,e3),e3) != op(e4,op(e3,e3))
| op(op(e2,e5),e2) != op(e2,op(e5,e2))
| ( e0 != op(e2,e3)
& e4 != op(e2,e3)
& e1 != op(e2,e3)
& e2 != op(e2,e3)
& e3 != op(e2,e3)
& e5 != op(e2,e3) )
| op(e2,e5) != op(e5,e2)
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e2,e0),e5) != op(e2,op(e0,e5))
| op(op(e0,e4),e4) != op(e0,op(e4,e4))
| ( e1 != op(e5,e0)
& e3 != op(e5,e0)
& e0 != op(e5,e0)
& e2 != op(e5,e0)
& e4 != op(e5,e0)
& e5 != op(e5,e0) )
| op(e3,e4) != op(e4,e3)
| op(e1,e5) != op(e5,e1)
| op(op(e3,e4),e4) != op(e3,op(e4,e4))
| unit != op(e0,inv(e0))
| op(op(e1,e4),e3) != op(e1,op(e4,e3))
| e4 != op(unit,e4)
| op(e2,e2) != op(e2,e2)
| op(op(e1,e1),e5) != op(e1,op(e1,e5))
| ( e3 != inv(e3)
& e5 != inv(e3)
& e4 != inv(e3)
& e0 != inv(e3)
& e2 != inv(e3)
& e1 != inv(e3) )
| op(op(e2,e0),e2) != op(e2,op(e0,e2))
| ( e1 != op(e4,e2)
& e3 != op(e4,e2)
& e5 != op(e4,e2)
& e2 != op(e4,e2)
& e0 != op(e4,e2)
& e4 != op(e4,e2) )
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| e5 != op(e5,unit)
| unit != op(inv(e0),e0)
| op(op(e2,e4),e1) != op(e2,op(e4,e1))
| ( e0 != op(e5,e4)
& e4 != op(e5,e4)
& e2 != op(e5,e4)
& e5 != op(e5,e4)
& e3 != op(e5,e4)
& e1 != op(e5,e4) )
| op(op(e5,e5),e4) != op(e5,op(e5,e4)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( op(op(e1,e4),e1) = op(e1,op(e4,e1))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(e1,e2) = op(e2,e1)
& op(op(e3,e5),e2) = op(e3,op(e5,e2))
& op(op(e2,e5),e4) = op(e2,op(e5,e4))
& op(op(e0,e5),e1) = op(e0,op(e5,e1))
& op(e5,e5) = op(e5,e5)
& e1 = op(e1,unit)
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e5,e5),e5) = op(e5,op(e5,e5))
& op(op(e5,e0),e0) = op(e5,op(e0,e0))
& op(e2,e5) = op(e5,e2)
& op(op(e5,e1),e0) = op(e5,op(e1,e0))
& ( e5 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& op(op(e4,e2),e0) = op(e4,op(e2,e0))
& ( e2 = op(e0,e5)
| e1 = op(e0,e5)
| e0 = op(e0,e5)
| e4 = op(e0,e5)
| e5 = op(e0,e5)
| e3 = op(e0,e5) )
& op(op(e4,e5),e5) = op(e4,op(e5,e5))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(e4,e5) = op(e5,e4)
& op(op(e3,e5),e0) = op(e3,op(e5,e0))
& op(op(e3,e0),e5) = op(e3,op(e0,e5))
& op(op(e1,e5),e3) = op(e1,op(e5,e3))
& op(op(e4,e2),e1) = op(e4,op(e2,e1))
& op(op(e2,e2),e5) = op(e2,op(e2,e5))
& op(op(e1,e0),e4) = op(e1,op(e0,e4))
& unit = op(inv(e5),e5)
& op(e0,e5) = op(e5,e0)
& op(op(e5,e5),e3) = op(e5,op(e5,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& ( e4 = inv(e0)
| e5 = inv(e0)
| e1 = inv(e0)
| e2 = inv(e0)
| e0 = inv(e0)
| e3 = inv(e0) )
& ( e2 = op(e5,e2)
| e5 = op(e5,e2)
| e0 = op(e5,e2)
| e4 = op(e5,e2)
| e3 = op(e5,e2)
| e1 = op(e5,e2) )
& op(e0,e2) = op(e2,e0)
& op(op(e2,e1),e5) = op(e2,op(e1,e5))
& op(op(e1,e3),e4) = op(e1,op(e3,e4))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e0,e2),e5) = op(e0,op(e2,e5))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e0,e4),e5) = op(e0,op(e4,e5))
& op(op(e3,e4),e1) = op(e3,op(e4,e1))
& op(op(e0,e5),e3) = op(e0,op(e5,e3))
& op(op(e4,e5),e4) = op(e4,op(e5,e4))
& op(op(e4,e2),e3) = op(e4,op(e2,e3))
& op(op(e0,e4),e2) = op(e0,op(e4,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e4) = op(e0,op(e3,e4))
& op(op(e5,e3),e4) = op(e5,op(e3,e4))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(e2,e3) = op(e3,e2)
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e0,e3),e5) = op(e0,op(e3,e5))
& ( e5 = inv(e5)
| e4 = inv(e5)
| e1 = inv(e5)
| e2 = inv(e5)
| e3 = inv(e5)
| e0 = inv(e5) )
& op(op(e1,e4),e4) = op(e1,op(e4,e4))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(e1,e5) = op(e5,e1)
& op(e4,e5) = op(e5,e4)
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e5,e5),e1) = op(e5,op(e5,e1))
& ( e4 = op(e1,e2)
| e2 = op(e1,e2)
| e5 = op(e1,e2)
| e0 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2) )
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& ( e5 = op(e4,e5)
| e1 = op(e4,e5)
| e4 = op(e4,e5)
| e0 = op(e4,e5)
| e2 = op(e4,e5)
| e3 = op(e4,e5) )
& ( e4 = unit
| e1 = unit
| e0 = unit
| e5 = unit
| e2 = unit
| e3 = unit )
& op(op(e2,e5),e1) = op(e2,op(e5,e1))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e1,e4),e3) = op(e1,op(e4,e3))
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3)
| e5 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3) )
& op(op(e1,e1),e5) = op(e1,op(e1,e5))
& unit = op(e0,inv(e0))
& op(op(e0,e1),e4) = op(e0,op(e1,e4))
& op(op(e2,e4),e0) = op(e2,op(e4,e0))
& op(op(e0,e1),e5) = op(e0,op(e1,e5))
& op(e0,e5) = op(e5,e0)
& op(op(e5,e4),e3) = op(e5,op(e4,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e4),e4) = op(e3,op(e4,e4))
& ( e4 = op(e5,e5)
| e0 = op(e5,e5)
| e1 = op(e5,e5)
| e2 = op(e5,e5)
| e3 = op(e5,e5)
| e5 = op(e5,e5) )
& op(op(e4,e4),e0) = op(e4,op(e4,e0))
& op(e0,e4) = op(e4,e0)
& ( e5 = op(e5,e3)
| e4 = op(e5,e3)
| e2 = op(e5,e3)
| e0 = op(e5,e3)
| e3 = op(e5,e3)
| e1 = op(e5,e3) )
& ( e0 = op(e2,e3)
| e4 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e5 = op(e2,e3) )
& e2 = op(e2,unit)
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e4,e5),e1) = op(e4,op(e5,e1))
& op(op(e4,e1),e4) = op(e4,op(e1,e4))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e5,e4),e1) = op(e5,op(e4,e1))
& ( e0 = op(e4,e3)
| e3 = op(e4,e3)
| e5 = op(e4,e3)
| e1 = op(e4,e3)
| e4 = op(e4,e3)
| e2 = op(e4,e3) )
& ( e5 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0)
| e3 = op(e4,e0) )
& op(op(e5,e2),e2) = op(e5,op(e2,e2))
& op(op(e5,e2),e4) = op(e5,op(e2,e4))
& op(op(e5,e1),e5) = op(e5,op(e1,e5))
& ( e4 = op(e3,e5)
| e2 = op(e3,e5)
| e0 = op(e3,e5)
| e3 = op(e3,e5)
| e1 = op(e3,e5)
| e5 = op(e3,e5) )
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e1,e5),e1) = op(e1,op(e5,e1))
& op(op(e3,e4),e3) = op(e3,op(e4,e3))
& op(op(e2,e5),e3) = op(e2,op(e5,e3))
& op(op(e3,e4),e0) = op(e3,op(e4,e0))
& e5 = op(unit,e5)
& op(e2,e2) = op(e2,e2)
& op(op(e3,e5),e1) = op(e3,op(e5,e1))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& unit = op(e3,inv(e3))
& op(op(e4,e0),e4) = op(e4,op(e0,e4))
& op(op(e5,e2),e3) = op(e5,op(e2,e3))
& e4 = op(unit,e4)
& op(op(e5,e5),e2) = op(e5,op(e5,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e5,e0),e4) = op(e5,op(e0,e4))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& ( e4 = op(e2,e5)
| e3 = op(e2,e5)
| e2 = op(e2,e5)
| e1 = op(e2,e5)
| e5 = op(e2,e5)
| e0 = op(e2,e5) )
& unit = op(e4,inv(e4))
& op(op(e3,e1),e5) = op(e3,op(e1,e5))
& op(op(e1,e5),e5) = op(e1,op(e5,e5))
& ( e1 = op(e0,e3)
| e0 = op(e0,e3)
| e4 = op(e0,e3)
| e5 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3) )
& op(e0,e3) = op(e3,e0)
& op(op(e0,e0),e5) = op(e0,op(e0,e5))
& op(op(e4,e3),e1) = op(e4,op(e3,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e5,e5),e4) = op(e5,op(e5,e4))
& op(op(e4,e4),e5) = op(e4,op(e4,e5))
& ( e1 = op(e1,e1)
| e5 = op(e1,e1)
| e4 = op(e1,e1)
| e2 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& op(op(e2,e4),e1) = op(e2,op(e4,e1))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& ( e2 = op(e5,e1)
| e4 = op(e5,e1)
| e1 = op(e5,e1)
| e5 = op(e5,e1)
| e3 = op(e5,e1)
| e0 = op(e5,e1) )
& e2 = op(unit,e2)
& op(op(e0,e4),e0) = op(e0,op(e4,e0))
& op(op(e1,e1),e4) = op(e1,op(e1,e4))
& op(op(e4,e4),e4) = op(e4,op(e4,e4))
& e3 = op(e3,unit)
& op(op(e0,e4),e3) = op(e0,op(e4,e3))
& op(op(e0,e4),e4) = op(e0,op(e4,e4))
& op(op(e0,e2),e4) = op(e0,op(e2,e4))
& op(e1,e3) = op(e3,e1)
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e5,e4),e5) = op(e5,op(e4,e5))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e4,e0),e2) = op(e4,op(e0,e2))
& op(op(e4,e5),e3) = op(e4,op(e5,e3))
& op(op(e4,e3),e0) = op(e4,op(e3,e0))
& op(op(e1,e4),e2) = op(e1,op(e4,e2))
& op(e1,e4) = op(e4,e1)
& op(op(e5,e1),e2) = op(e5,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(e0,e0) = op(e0,e0)
& op(e2,e5) = op(e5,e2)
& op(op(e0,e5),e5) = op(e0,op(e5,e5))
& op(op(e2,e4),e4) = op(e2,op(e4,e4))
& op(op(e3,e2),e4) = op(e3,op(e2,e4))
& op(op(e3,e4),e2) = op(e3,op(e4,e2))
& op(op(e5,e3),e0) = op(e5,op(e3,e0))
& op(op(e4,e4),e2) = op(e4,op(e4,e2))
& op(op(e3,e2),e5) = op(e3,op(e2,e5))
& op(op(e5,e1),e1) = op(e5,op(e1,e1))
& unit = op(e2,inv(e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(e2,e4) = op(e4,e2)
& op(e3,e4) = op(e4,e3)
& op(op(e5,e3),e1) = op(e5,op(e3,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e4,e1),e2) = op(e4,op(e1,e2))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& unit = op(inv(e1),e1)
& op(op(e0,e5),e2) = op(e0,op(e5,e2))
& op(op(e5,e0),e2) = op(e5,op(e0,e2))
& ( e3 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e5 = op(e1,e0)
| e0 = op(e1,e0) )
& op(e0,e1) = op(e1,e0)
& op(e1,e5) = op(e5,e1)
& op(op(e5,e0),e5) = op(e5,op(e0,e5))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e1,e3),e5) = op(e1,op(e3,e5))
& op(op(e2,e1),e4) = op(e2,op(e1,e4))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(e3,e4) = op(e4,e3)
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e4,e2),e5) = op(e4,op(e2,e5))
& unit = op(inv(e0),e0)
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e3,e3),e5) = op(e3,op(e3,e5))
& ( e5 = inv(e1)
| e3 = inv(e1)
| e2 = inv(e1)
| e4 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) )
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e2,e0),e4) = op(e2,op(e0,e4))
& op(op(e4,e5),e2) = op(e4,op(e5,e2))
& op(op(e4,e3),e2) = op(e4,op(e3,e2))
& op(op(e5,e2),e5) = op(e5,op(e2,e5))
& e1 = op(unit,e1)
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e5 = op(e3,e2)
| e2 = op(e3,e2) )
& op(op(e4,e2),e4) = op(e4,op(e2,e4))
& op(op(e5,e0),e3) = op(e5,op(e0,e3))
& op(op(e4,e1),e5) = op(e4,op(e1,e5))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(e0,e3) = op(e3,e0)
& ( e3 = op(e5,e4)
| e0 = op(e5,e4)
| e2 = op(e5,e4)
| e5 = op(e5,e4)
| e1 = op(e5,e4)
| e4 = op(e5,e4) )
& op(op(e0,e5),e0) = op(e0,op(e5,e0))
& ( e2 = op(e1,e5)
| e3 = op(e1,e5)
| e5 = op(e1,e5)
| e1 = op(e1,e5)
| e4 = op(e1,e5)
| e0 = op(e1,e5) )
& ( e3 = inv(e3)
| e0 = inv(e3)
| e5 = inv(e3)
| e1 = inv(e3)
| e4 = inv(e3)
| e2 = inv(e3) )
& op(op(e3,e5),e3) = op(e3,op(e5,e3))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(e1,e2) = op(e2,e1)
& op(op(e1,e0),e5) = op(e1,op(e0,e5))
& ( e0 = op(e5,e0)
| e2 = op(e5,e0)
| e1 = op(e5,e0)
| e5 = op(e5,e0)
| e3 = op(e5,e0)
| e4 = op(e5,e0) )
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& unit = op(e5,inv(e5))
& op(op(e0,e4),e1) = op(e0,op(e4,e1))
& e5 = op(e5,unit)
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e3,e3),e4) = op(e3,op(e3,e4))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e1,e5),e2) = op(e1,op(e5,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& unit = op(inv(e3),e3)
& op(e4,e4) = op(e4,e4)
& e3 = op(unit,e3)
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e5,e2),e1) = op(e5,op(e2,e1))
& op(op(e4,e0),e3) = op(e4,op(e0,e3))
& op(e2,e3) = op(e3,e2)
& op(op(e5,e3),e2) = op(e5,op(e3,e2))
& op(e0,e2) = op(e2,e0)
& ( e1 = op(e0,e4)
| e3 = op(e0,e4)
| e0 = op(e0,e4)
| e5 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4) )
& op(op(e5,e4),e2) = op(e5,op(e4,e2))
& ( e0 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| e1 = op(e2,e2)
| e5 = op(e2,e2)
| e2 = op(e2,e2) )
& op(op(e3,e4),e5) = op(e3,op(e4,e5))
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e5 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& op(e3,e5) = op(e5,e3)
& op(e2,e4) = op(e4,e2)
& op(op(e4,e4),e1) = op(e4,op(e4,e1))
& ( e4 = op(e3,e3)
| e5 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) )
& op(op(e4,e0),e1) = op(e4,op(e0,e1))
& op(op(e0,e5),e4) = op(e0,op(e5,e4))
& op(op(e5,e4),e4) = op(e5,op(e4,e4))
& op(op(e2,e5),e0) = op(e2,op(e5,e0))
& op(op(e2,e3),e4) = op(e2,op(e3,e4))
& op(op(e3,e1),e4) = op(e3,op(e1,e4))
& op(e1,e3) = op(e3,e1)
& ( e2 = op(e4,e1)
| e3 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1)
| e5 = op(e4,e1)
| e4 = op(e4,e1) )
& ( e4 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e5 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4) )
& op(op(e1,e5),e0) = op(e1,op(e5,e0))
& op(e0,e4) = op(e4,e0)
& op(op(e1,e2),e4) = op(e1,op(e2,e4))
& op(op(e3,e5),e4) = op(e3,op(e5,e4))
& op(op(e1,e4),e5) = op(e1,op(e4,e5))
& op(op(e2,e4),e2) = op(e2,op(e4,e2))
& ( e4 = op(e4,e2)
| e0 = op(e4,e2)
| e2 = op(e4,e2)
| e5 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2) )
& op(e0,e1) = op(e1,e0)
& op(op(e4,e3),e5) = op(e4,op(e3,e5))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e5,e5),e0) = op(e5,op(e5,e0))
& unit = op(inv(e4),e4)
& op(op(e4,e1),e0) = op(e4,op(e1,e0))
& op(op(e4,e3),e4) = op(e4,op(e3,e4))
& op(op(e4,e1),e1) = op(e4,op(e1,e1))
& ( e1 = inv(e2)
| e0 = inv(e2)
| e3 = inv(e2)
| e4 = inv(e2)
| e5 = inv(e2)
| e2 = inv(e2) )
& op(op(e3,e0),e4) = op(e3,op(e0,e4))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e5),e2) = op(e2,op(e5,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(e3,e3) = op(e3,e3)
& op(op(e4,e0),e5) = op(e4,op(e0,e5))
& e0 = op(unit,e0)
& op(e1,e1) = op(e1,e1)
& e4 = op(e4,unit)
& op(op(e4,e0),e0) = op(e4,op(e0,e0))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e4,e4),e3) = op(e4,op(e4,e3))
& ( e5 = inv(e4)
| e1 = inv(e4)
| e2 = inv(e4)
| e3 = inv(e4)
| e4 = inv(e4)
| e0 = inv(e4) )
& op(op(e2,e5),e5) = op(e2,op(e5,e5))
& op(op(e2,e0),e5) = op(e2,op(e0,e5))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e2,e2),e4) = op(e2,op(e2,e4))
& unit = op(inv(e2),e2)
& unit = op(e1,inv(e1))
& op(op(e5,e0),e1) = op(e5,op(e0,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e2,e4),e5) = op(e2,op(e4,e5))
& op(op(e5,e4),e0) = op(e5,op(e4,e0))
& op(op(e4,e2),e2) = op(e4,op(e2,e2))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e1,e4),e0) = op(e1,op(e4,e0))
& op(op(e3,e5),e5) = op(e3,op(e5,e5))
& op(op(e2,e4),e3) = op(e2,op(e4,e3))
& ( e4 = op(e2,e1)
| e2 = op(e2,e1)
| e5 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1) )
& op(op(e1,e5),e4) = op(e1,op(e5,e4))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& ( e5 = op(e0,e0)
| e4 = op(e0,e0)
| e0 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0) )
& ( e5 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e4 = op(e0,e1) )
& op(op(e5,e2),e0) = op(e5,op(e2,e0))
& op(op(e2,e3),e5) = op(e2,op(e3,e5))
& ( e1 = op(e1,e4)
| e3 = op(e1,e4)
| e5 = op(e1,e4)
| e4 = op(e1,e4)
| e0 = op(e1,e4)
| e2 = op(e1,e4) )
& op(op(e4,e5),e0) = op(e4,op(e5,e0))
& op(e1,e4) = op(e4,e1)
& e0 = op(e0,unit)
& op(op(e5,e3),e3) = op(e5,op(e3,e3))
& op(e3,e5) = op(e5,e3)
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& ( e1 = op(e3,e0)
| e0 = op(e3,e0)
| e5 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0) )
& op(op(e5,e3),e5) = op(e5,op(e3,e5))
& op(op(e4,e1),e3) = op(e4,op(e1,e3))
& ( e5 = op(e3,e4)
| e0 = op(e3,e4)
| e4 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e1 = op(e3,e4) )
& op(op(e0,e0),e4) = op(e0,op(e0,e4))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& ( e4 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e1 = op(e2,e0)
| e5 = op(e2,e0) )
& ( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2)
| e5 = op(e0,e2) )
& op(op(e5,e1),e3) = op(e5,op(e1,e3))
& op(op(e5,e1),e4) = op(e5,op(e1,e4))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e1,e2),e5) = op(e1,op(e2,e5))
& op(op(e4,e3),e3) = op(e4,op(e3,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( op(op(e1,e4),e1) = op(e1,op(e4,e1))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(e1,e2) = op(e2,e1)
& op(op(e3,e5),e2) = op(e3,op(e5,e2))
& op(op(e2,e5),e4) = op(e2,op(e5,e4))
& op(op(e0,e5),e1) = op(e0,op(e5,e1))
& op(e5,e5) = op(e5,e5)
& e1 = op(e1,unit)
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e5,e5),e5) = op(e5,op(e5,e5))
& op(op(e5,e0),e0) = op(e5,op(e0,e0))
& op(e2,e5) = op(e5,e2)
& op(op(e5,e1),e0) = op(e5,op(e1,e0))
& ( e5 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& op(op(e4,e2),e0) = op(e4,op(e2,e0))
& ( e2 = op(e0,e5)
| e1 = op(e0,e5)
| e0 = op(e0,e5)
| e4 = op(e0,e5)
| e5 = op(e0,e5)
| e3 = op(e0,e5) )
& op(op(e4,e5),e5) = op(e4,op(e5,e5))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(e4,e5) = op(e5,e4)
& op(op(e3,e5),e0) = op(e3,op(e5,e0))
& op(op(e3,e0),e5) = op(e3,op(e0,e5))
& op(op(e1,e5),e3) = op(e1,op(e5,e3))
& op(op(e4,e2),e1) = op(e4,op(e2,e1))
& op(op(e2,e2),e5) = op(e2,op(e2,e5))
& op(op(e1,e0),e4) = op(e1,op(e0,e4))
& unit = op(inv(e5),e5)
& op(e0,e5) = op(e5,e0)
& op(op(e5,e5),e3) = op(e5,op(e5,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& ( e4 = inv(e0)
| e5 = inv(e0)
| e1 = inv(e0)
| e2 = inv(e0)
| e0 = inv(e0)
| e3 = inv(e0) )
& ( e2 = op(e5,e2)
| e5 = op(e5,e2)
| e0 = op(e5,e2)
| e4 = op(e5,e2)
| e3 = op(e5,e2)
| e1 = op(e5,e2) )
& op(e0,e2) = op(e2,e0)
& op(op(e2,e1),e5) = op(e2,op(e1,e5))
& op(op(e1,e3),e4) = op(e1,op(e3,e4))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e0,e2),e5) = op(e0,op(e2,e5))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e0,e4),e5) = op(e0,op(e4,e5))
& op(op(e3,e4),e1) = op(e3,op(e4,e1))
& op(op(e0,e5),e3) = op(e0,op(e5,e3))
& op(op(e4,e5),e4) = op(e4,op(e5,e4))
& op(op(e4,e2),e3) = op(e4,op(e2,e3))
& op(op(e0,e4),e2) = op(e0,op(e4,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e4) = op(e0,op(e3,e4))
& op(op(e5,e3),e4) = op(e5,op(e3,e4))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(e2,e3) = op(e3,e2)
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e0,e3),e5) = op(e0,op(e3,e5))
& ( e5 = inv(e5)
| e4 = inv(e5)
| e1 = inv(e5)
| e2 = inv(e5)
| e3 = inv(e5)
| e0 = inv(e5) )
& op(op(e1,e4),e4) = op(e1,op(e4,e4))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(e1,e5) = op(e5,e1)
& op(e4,e5) = op(e5,e4)
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e5,e5),e1) = op(e5,op(e5,e1))
& ( e4 = op(e1,e2)
| e2 = op(e1,e2)
| e5 = op(e1,e2)
| e0 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2) )
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& ( e5 = op(e4,e5)
| e1 = op(e4,e5)
| e4 = op(e4,e5)
| e0 = op(e4,e5)
| e2 = op(e4,e5)
| e3 = op(e4,e5) )
& ( e4 = unit
| e1 = unit
| e0 = unit
| e5 = unit
| e2 = unit
| e3 = unit )
& op(op(e2,e5),e1) = op(e2,op(e5,e1))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e1,e4),e3) = op(e1,op(e4,e3))
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3)
| e5 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3) )
& op(op(e1,e1),e5) = op(e1,op(e1,e5))
& unit = op(e0,inv(e0))
& op(op(e0,e1),e4) = op(e0,op(e1,e4))
& op(op(e2,e4),e0) = op(e2,op(e4,e0))
& op(op(e0,e1),e5) = op(e0,op(e1,e5))
& op(e0,e5) = op(e5,e0)
& op(op(e5,e4),e3) = op(e5,op(e4,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e4),e4) = op(e3,op(e4,e4))
& ( e4 = op(e5,e5)
| e0 = op(e5,e5)
| e1 = op(e5,e5)
| e2 = op(e5,e5)
| e3 = op(e5,e5)
| e5 = op(e5,e5) )
& op(op(e4,e4),e0) = op(e4,op(e4,e0))
& op(e0,e4) = op(e4,e0)
& ( e5 = op(e5,e3)
| e4 = op(e5,e3)
| e2 = op(e5,e3)
| e0 = op(e5,e3)
| e3 = op(e5,e3)
| e1 = op(e5,e3) )
& ( e0 = op(e2,e3)
| e4 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e5 = op(e2,e3) )
& e2 = op(e2,unit)
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e4,e5),e1) = op(e4,op(e5,e1))
& op(op(e4,e1),e4) = op(e4,op(e1,e4))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e5,e4),e1) = op(e5,op(e4,e1))
& ( e0 = op(e4,e3)
| e3 = op(e4,e3)
| e5 = op(e4,e3)
| e1 = op(e4,e3)
| e4 = op(e4,e3)
| e2 = op(e4,e3) )
& ( e5 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e4,e0)
| e3 = op(e4,e0) )
& op(op(e5,e2),e2) = op(e5,op(e2,e2))
& op(op(e5,e2),e4) = op(e5,op(e2,e4))
& op(op(e5,e1),e5) = op(e5,op(e1,e5))
& ( e4 = op(e3,e5)
| e2 = op(e3,e5)
| e0 = op(e3,e5)
| e3 = op(e3,e5)
| e1 = op(e3,e5)
| e5 = op(e3,e5) )
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e1,e5),e1) = op(e1,op(e5,e1))
& op(op(e3,e4),e3) = op(e3,op(e4,e3))
& op(op(e2,e5),e3) = op(e2,op(e5,e3))
& op(op(e3,e4),e0) = op(e3,op(e4,e0))
& e5 = op(unit,e5)
& op(e2,e2) = op(e2,e2)
& op(op(e3,e5),e1) = op(e3,op(e5,e1))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& unit = op(e3,inv(e3))
& op(op(e4,e0),e4) = op(e4,op(e0,e4))
& op(op(e5,e2),e3) = op(e5,op(e2,e3))
& e4 = op(unit,e4)
& op(op(e5,e5),e2) = op(e5,op(e5,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e5,e0),e4) = op(e5,op(e0,e4))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& ( e4 = op(e2,e5)
| e3 = op(e2,e5)
| e2 = op(e2,e5)
| e1 = op(e2,e5)
| e5 = op(e2,e5)
| e0 = op(e2,e5) )
& unit = op(e4,inv(e4))
& op(op(e3,e1),e5) = op(e3,op(e1,e5))
& op(op(e1,e5),e5) = op(e1,op(e5,e5))
& ( e1 = op(e0,e3)
| e0 = op(e0,e3)
| e4 = op(e0,e3)
| e5 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3) )
& op(e0,e3) = op(e3,e0)
& op(op(e0,e0),e5) = op(e0,op(e0,e5))
& op(op(e4,e3),e1) = op(e4,op(e3,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e5,e5),e4) = op(e5,op(e5,e4))
& op(op(e4,e4),e5) = op(e4,op(e4,e5))
& ( e1 = op(e1,e1)
| e5 = op(e1,e1)
| e4 = op(e1,e1)
| e2 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& op(op(e2,e4),e1) = op(e2,op(e4,e1))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& ( e2 = op(e5,e1)
| e4 = op(e5,e1)
| e1 = op(e5,e1)
| e5 = op(e5,e1)
| e3 = op(e5,e1)
| e0 = op(e5,e1) )
& e2 = op(unit,e2)
& op(op(e0,e4),e0) = op(e0,op(e4,e0))
& op(op(e1,e1),e4) = op(e1,op(e1,e4))
& op(op(e4,e4),e4) = op(e4,op(e4,e4))
& e3 = op(e3,unit)
& op(op(e0,e4),e3) = op(e0,op(e4,e3))
& op(op(e0,e4),e4) = op(e0,op(e4,e4))
& op(op(e0,e2),e4) = op(e0,op(e2,e4))
& op(e1,e3) = op(e3,e1)
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e5,e4),e5) = op(e5,op(e4,e5))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e4,e0),e2) = op(e4,op(e0,e2))
& op(op(e4,e5),e3) = op(e4,op(e5,e3))
& op(op(e4,e3),e0) = op(e4,op(e3,e0))
& op(op(e1,e4),e2) = op(e1,op(e4,e2))
& op(e1,e4) = op(e4,e1)
& op(op(e5,e1),e2) = op(e5,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(e0,e0) = op(e0,e0)
& op(e2,e5) = op(e5,e2)
& op(op(e0,e5),e5) = op(e0,op(e5,e5))
& op(op(e2,e4),e4) = op(e2,op(e4,e4))
& op(op(e3,e2),e4) = op(e3,op(e2,e4))
& op(op(e3,e4),e2) = op(e3,op(e4,e2))
& op(op(e5,e3),e0) = op(e5,op(e3,e0))
& op(op(e4,e4),e2) = op(e4,op(e4,e2))
& op(op(e3,e2),e5) = op(e3,op(e2,e5))
& op(op(e5,e1),e1) = op(e5,op(e1,e1))
& unit = op(e2,inv(e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(e2,e4) = op(e4,e2)
& op(e3,e4) = op(e4,e3)
& op(op(e5,e3),e1) = op(e5,op(e3,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e4,e1),e2) = op(e4,op(e1,e2))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& unit = op(inv(e1),e1)
& op(op(e0,e5),e2) = op(e0,op(e5,e2))
& op(op(e5,e0),e2) = op(e5,op(e0,e2))
& ( e3 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e5 = op(e1,e0)
| e0 = op(e1,e0) )
& op(e0,e1) = op(e1,e0)
& op(e1,e5) = op(e5,e1)
& op(op(e5,e0),e5) = op(e5,op(e0,e5))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e1,e3),e5) = op(e1,op(e3,e5))
& op(op(e2,e1),e4) = op(e2,op(e1,e4))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(e3,e4) = op(e4,e3)
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e4,e2),e5) = op(e4,op(e2,e5))
& unit = op(inv(e0),e0)
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e3,e3),e5) = op(e3,op(e3,e5))
& ( e5 = inv(e1)
| e3 = inv(e1)
| e2 = inv(e1)
| e4 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) )
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e2,e0),e4) = op(e2,op(e0,e4))
& op(op(e4,e5),e2) = op(e4,op(e5,e2))
& op(op(e4,e3),e2) = op(e4,op(e3,e2))
& op(op(e5,e2),e5) = op(e5,op(e2,e5))
& e1 = op(unit,e1)
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e5 = op(e3,e2)
| e2 = op(e3,e2) )
& op(op(e4,e2),e4) = op(e4,op(e2,e4))
& op(op(e5,e0),e3) = op(e5,op(e0,e3))
& op(op(e4,e1),e5) = op(e4,op(e1,e5))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(e0,e3) = op(e3,e0)
& ( e3 = op(e5,e4)
| e0 = op(e5,e4)
| e2 = op(e5,e4)
| e5 = op(e5,e4)
| e1 = op(e5,e4)
| e4 = op(e5,e4) )
& op(op(e0,e5),e0) = op(e0,op(e5,e0))
& ( e2 = op(e1,e5)
| e3 = op(e1,e5)
| e5 = op(e1,e5)
| e1 = op(e1,e5)
| e4 = op(e1,e5)
| e0 = op(e1,e5) )
& ( e3 = inv(e3)
| e0 = inv(e3)
| e5 = inv(e3)
| e1 = inv(e3)
| e4 = inv(e3)
| e2 = inv(e3) )
& op(op(e3,e5),e3) = op(e3,op(e5,e3))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(e1,e2) = op(e2,e1)
& op(op(e1,e0),e5) = op(e1,op(e0,e5))
& ( e0 = op(e5,e0)
| e2 = op(e5,e0)
| e1 = op(e5,e0)
| e5 = op(e5,e0)
| e3 = op(e5,e0)
| e4 = op(e5,e0) )
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& unit = op(e5,inv(e5))
& op(op(e0,e4),e1) = op(e0,op(e4,e1))
& e5 = op(e5,unit)
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e3,e3),e4) = op(e3,op(e3,e4))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e1,e5),e2) = op(e1,op(e5,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& unit = op(inv(e3),e3)
& op(e4,e4) = op(e4,e4)
& e3 = op(unit,e3)
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e5,e2),e1) = op(e5,op(e2,e1))
& op(op(e4,e0),e3) = op(e4,op(e0,e3))
& op(e2,e3) = op(e3,e2)
& op(op(e5,e3),e2) = op(e5,op(e3,e2))
& op(e0,e2) = op(e2,e0)
& ( e1 = op(e0,e4)
| e3 = op(e0,e4)
| e0 = op(e0,e4)
| e5 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4) )
& op(op(e5,e4),e2) = op(e5,op(e4,e2))
& ( e0 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| e1 = op(e2,e2)
| e5 = op(e2,e2)
| e2 = op(e2,e2) )
& op(op(e3,e4),e5) = op(e3,op(e4,e5))
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e5 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& op(e3,e5) = op(e5,e3)
& op(e2,e4) = op(e4,e2)
& op(op(e4,e4),e1) = op(e4,op(e4,e1))
& ( e4 = op(e3,e3)
| e5 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) )
& op(op(e4,e0),e1) = op(e4,op(e0,e1))
& op(op(e0,e5),e4) = op(e0,op(e5,e4))
& op(op(e5,e4),e4) = op(e5,op(e4,e4))
& op(op(e2,e5),e0) = op(e2,op(e5,e0))
& op(op(e2,e3),e4) = op(e2,op(e3,e4))
& op(op(e3,e1),e4) = op(e3,op(e1,e4))
& op(e1,e3) = op(e3,e1)
& ( e2 = op(e4,e1)
| e3 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1)
| e5 = op(e4,e1)
| e4 = op(e4,e1) )
& ( e4 = op(e2,e4)
| e0 = op(e2,e4)
| e3 = op(e2,e4)
| e5 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4) )
& op(op(e1,e5),e0) = op(e1,op(e5,e0))
& op(e0,e4) = op(e4,e0)
& op(op(e1,e2),e4) = op(e1,op(e2,e4))
& op(op(e3,e5),e4) = op(e3,op(e5,e4))
& op(op(e1,e4),e5) = op(e1,op(e4,e5))
& op(op(e2,e4),e2) = op(e2,op(e4,e2))
& ( e4 = op(e4,e2)
| e0 = op(e4,e2)
| e2 = op(e4,e2)
| e5 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2) )
& op(e0,e1) = op(e1,e0)
& op(op(e4,e3),e5) = op(e4,op(e3,e5))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e5,e5),e0) = op(e5,op(e5,e0))
& unit = op(inv(e4),e4)
& op(op(e4,e1),e0) = op(e4,op(e1,e0))
& op(op(e4,e3),e4) = op(e4,op(e3,e4))
& op(op(e4,e1),e1) = op(e4,op(e1,e1))
& ( e1 = inv(e2)
| e0 = inv(e2)
| e3 = inv(e2)
| e4 = inv(e2)
| e5 = inv(e2)
| e2 = inv(e2) )
& op(op(e3,e0),e4) = op(e3,op(e0,e4))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e5),e2) = op(e2,op(e5,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(e3,e3) = op(e3,e3)
& op(op(e4,e0),e5) = op(e4,op(e0,e5))
& e0 = op(unit,e0)
& op(e1,e1) = op(e1,e1)
& e4 = op(e4,unit)
& op(op(e4,e0),e0) = op(e4,op(e0,e0))
& op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e4,e4),e3) = op(e4,op(e4,e3))
& ( e5 = inv(e4)
| e1 = inv(e4)
| e2 = inv(e4)
| e3 = inv(e4)
| e4 = inv(e4)
| e0 = inv(e4) )
& op(op(e2,e5),e5) = op(e2,op(e5,e5))
& op(op(e2,e0),e5) = op(e2,op(e0,e5))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e2,e2),e4) = op(e2,op(e2,e4))
& unit = op(inv(e2),e2)
& unit = op(e1,inv(e1))
& op(op(e5,e0),e1) = op(e5,op(e0,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e2,e4),e5) = op(e2,op(e4,e5))
& op(op(e5,e4),e0) = op(e5,op(e4,e0))
& op(op(e4,e2),e2) = op(e4,op(e2,e2))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e1,e4),e0) = op(e1,op(e4,e0))
& op(op(e3,e5),e5) = op(e3,op(e5,e5))
& op(op(e2,e4),e3) = op(e2,op(e4,e3))
& ( e4 = op(e2,e1)
| e2 = op(e2,e1)
| e5 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1) )
& op(op(e1,e5),e4) = op(e1,op(e5,e4))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& ( e5 = op(e0,e0)
| e4 = op(e0,e0)
| e0 = op(e0,e0)
| e3 = op(e0,e0)
| e2 = op(e0,e0)
| e1 = op(e0,e0) )
& ( e5 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e4 = op(e0,e1) )
& op(op(e5,e2),e0) = op(e5,op(e2,e0))
& op(op(e2,e3),e5) = op(e2,op(e3,e5))
& ( e1 = op(e1,e4)
| e3 = op(e1,e4)
| e5 = op(e1,e4)
| e4 = op(e1,e4)
| e0 = op(e1,e4)
| e2 = op(e1,e4) )
& op(op(e4,e5),e0) = op(e4,op(e5,e0))
& op(e1,e4) = op(e4,e1)
& e0 = op(e0,unit)
& op(op(e5,e3),e3) = op(e5,op(e3,e3))
& op(e3,e5) = op(e5,e3)
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& ( e1 = op(e3,e0)
| e0 = op(e3,e0)
| e5 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e4 = op(e3,e0) )
& op(op(e5,e3),e5) = op(e5,op(e3,e5))
& op(op(e4,e1),e3) = op(e4,op(e1,e3))
& ( e5 = op(e3,e4)
| e0 = op(e3,e4)
| e4 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e1 = op(e3,e4) )
& op(op(e0,e0),e4) = op(e0,op(e0,e4))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& ( e4 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e1 = op(e2,e0)
| e5 = op(e2,e0) )
& ( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e4 = op(e0,e2)
| e3 = op(e0,e2)
| e5 = op(e0,e2) )
& op(op(e5,e1),e3) = op(e5,op(e1,e3))
& op(op(e5,e1),e4) = op(e5,op(e1,e4))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e1,e2),e5) = op(e1,op(e2,e5))
& op(op(e4,e3),e3) = op(e4,op(e3,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e0),e0) = op(e3,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2372,plain,
( ~ spl42_419
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f255,f928,f2369]) ).
fof(f255,plain,
( ~ sP23
| e4 != inv(e5) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e0 != inv(e5)
& e5 != inv(e5)
& e2 != inv(e5)
& e4 != inv(e5)
& e1 != inv(e5)
& e3 != inv(e5) )
| ~ sP23 ),
inference(nnf_transformation,[],[f31]) ).
fof(f2347,plain,
spl42_314,
inference(avatar_split_clause,[],[f111,f1823]) ).
fof(f111,plain,
e3 = op(e5,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2341,plain,
( ~ spl42_413
| ~ spl42_244 ),
inference(avatar_split_clause,[],[f380,f1536,f2338]) ).
fof(f380,plain,
( ~ sP2
| e2 != inv(e3) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e3 != inv(e3)
& e5 != inv(e3)
& e4 != inv(e3)
& e0 != inv(e3)
& e2 != inv(e3)
& e1 != inv(e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f2321,plain,
( ~ spl42_8
| ~ spl42_409 ),
inference(avatar_split_clause,[],[f531,f2318,f584]) ).
fof(f531,plain,
( op(e5,e4) != unit
| ~ sP0 ),
inference(definition_unfolding,[],[f396,f108]) ).
fof(f396,plain,
( e0 != op(e5,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e0 != op(e5,e4)
& e4 != op(e5,e4)
& e2 != op(e5,e4)
& e5 != op(e5,e4)
& e3 != op(e5,e4)
& e1 != op(e5,e4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f2271,plain,
( ~ spl42_60
| ~ spl42_399 ),
inference(avatar_split_clause,[],[f298,f2268,f800]) ).
fof(f298,plain,
( e5 != inv(e4)
| ~ sP16 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e1 != inv(e4)
& e4 != inv(e4)
& e5 != inv(e4)
& e3 != inv(e4)
& e2 != inv(e4)
& e0 != inv(e4) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f2261,plain,
( ~ spl42_259
| ~ spl42_94 ),
inference(avatar_split_clause,[],[f440,f936,f1596]) ).
fof(f440,plain,
( ~ sP37
| e5 != op(unit,e5) ),
inference(definition_unfolding,[],[f173,f108]) ).
fof(f173,plain,
( e5 != op(e0,e5)
| ~ sP37 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e3 != op(e0,e5)
& e5 != op(e0,e5)
& e4 != op(e0,e5)
& e2 != op(e0,e5)
& e0 != op(e0,e5)
& e1 != op(e0,e5) )
| ~ sP37 ),
inference(nnf_transformation,[],[f45]) ).
fof(f2245,plain,
spl42_355,
inference(avatar_split_clause,[],[f115,f2039]) ).
fof(f115,plain,
e2 = op(e5,e5),
inference(cnf_transformation,[],[f2]) ).
fof(f2229,plain,
spl42_62,
inference(avatar_split_clause,[],[f429,f808]) ).
fof(f429,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f112,f108]) ).
fof(f112,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2228,plain,
( ~ spl42_103
| ~ spl42_115 ),
inference(avatar_split_clause,[],[f467,f1020,f972]) ).
fof(f467,plain,
( e3 != op(unit,e3)
| ~ sP29 ),
inference(definition_unfolding,[],[f217,f108]) ).
fof(f217,plain,
( e3 != op(e0,e3)
| ~ sP29 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e4 != op(e0,e3)
& e1 != op(e0,e3)
& e2 != op(e0,e3)
& e5 != op(e0,e3)
& e0 != op(e0,e3)
& e3 != op(e0,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f37]) ).
fof(f2212,plain,
spl42_378,
inference(avatar_split_clause,[],[f119,f2157]) ).
fof(f119,plain,
e1 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2171,plain,
spl42_172,
inference(avatar_split_clause,[],[f428,f1248]) ).
fof(f428,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f113,f108]) ).
fof(f113,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2160,plain,
( ~ spl42_218
| ~ spl42_378 ),
inference(avatar_split_clause,[],[f265,f2157,f1432]) ).
fof(f265,plain,
( e1 != op(e4,e3)
| ~ sP21 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e5 != op(e4,e3)
& e0 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3) )
| ~ sP21 ),
inference(nnf_transformation,[],[f29]) ).
fof(f2135,plain,
( ~ spl42_4
| ~ spl42_373 ),
inference(avatar_split_clause,[],[f260,f2132,f566]) ).
fof(f260,plain,
( e4 != op(e2,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e1 != op(e2,e1)
& e0 != op(e2,e1)
& e2 != op(e2,e1)
& e5 != op(e2,e1)
& e4 != op(e2,e1)
& e3 != op(e2,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f30]) ).
fof(f2130,plain,
( ~ spl42_119
| ~ spl42_372 ),
inference(avatar_split_clause,[],[f279,f2127,f1036]) ).
fof(f279,plain,
( e1 != inv(e1)
| ~ sP19 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e2 != inv(e1)
& e3 != inv(e1)
& e0 != inv(e1)
& e1 != inv(e1)
& e4 != inv(e1)
& e5 != inv(e1) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f2110,plain,
~ spl42_256,
inference(avatar_split_clause,[],[f549,f1584]) ).
fof(f549,plain,
~ sP7,
inference(trivial_inequality_removal,[],[f514]) ).
fof(f514,plain,
( ~ sP7
| unit != unit ),
inference(definition_unfolding,[],[f349,f108]) ).
fof(f349,plain,
( e0 != unit
| ~ sP7 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e4 != unit
& e3 != unit
& e1 != unit
& e5 != unit
& e2 != unit
& e0 != unit )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f2099,plain,
( ~ spl42_282
| ~ spl42_366 ),
inference(avatar_split_clause,[],[f234,f2096,f1688]) ).
fof(f234,plain,
( e4 != op(e5,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e4 != op(e5,e3)
& e5 != op(e5,e3)
& e2 != op(e5,e3)
& e3 != op(e5,e3)
& e1 != op(e5,e3)
& e0 != op(e5,e3) )
| ~ sP27 ),
inference(nnf_transformation,[],[f35]) ).
fof(f2079,plain,
( ~ spl42_297
| ~ spl42_362 ),
inference(avatar_split_clause,[],[f330,f2076,f1748]) ).
fof(f330,plain,
( e5 != op(e1,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e5 != op(e1,e3)
& e3 != op(e1,e3)
& e4 != op(e1,e3)
& e0 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f2069,plain,
spl42_16,
inference(avatar_split_clause,[],[f419,f621]) ).
fof(f419,plain,
op(e3,e2) = unit,
inference(definition_unfolding,[],[f133,f108]) ).
fof(f133,plain,
e0 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2042,plain,
( ~ spl42_355
| ~ spl42_248 ),
inference(avatar_split_clause,[],[f348,f1552,f2039]) ).
fof(f348,plain,
( ~ sP8
| e2 != op(e5,e5) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e2 != op(e5,e5)
& e5 != op(e5,e5)
& e1 != op(e5,e5)
& e3 != op(e5,e5)
& e0 != op(e5,e5)
& e4 != op(e5,e5) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f2032,plain,
( ~ spl42_198
| ~ spl42_215 ),
inference(avatar_split_clause,[],[f512,f1420,f1352]) ).
fof(f512,plain,
( ~ sP9
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f337,f108,f108,f108]) ).
fof(f337,plain,
( e0 != op(e0,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e4 != op(e0,e0)
& e1 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e5 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f2031,plain,
( ~ spl42_353
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f205,f557,f2028]) ).
fof(f205,plain,
( ~ sP31
| e4 != op(e1,e2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e5 != op(e1,e2)
& e2 != op(e1,e2)
& e0 != op(e1,e2)
& e1 != op(e1,e2)
& e3 != op(e1,e2)
& e4 != op(e1,e2) )
| ~ sP31 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1981,plain,
spl42_258,
inference(avatar_split_clause,[],[f425,f1592]) ).
fof(f425,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f117,f108]) ).
fof(f117,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1980,plain,
spl42_70,
inference(avatar_split_clause,[],[f414,f840]) ).
fof(f414,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f144,f108]) ).
fof(f144,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1979,plain,
spl42_6,
inference(avatar_split_clause,[],[f417,f575]) ).
fof(f417,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f137,f108]) ).
fof(f137,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1958,plain,
spl42_14,
inference(avatar_split_clause,[],[f110,f612]) ).
fof(f110,plain,
e3 = op(e1,e5),
inference(cnf_transformation,[],[f2]) ).
fof(f1902,plain,
spl42_115,
inference(avatar_split_clause,[],[f423,f1020]) ).
fof(f423,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f127,f108]) ).
fof(f127,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1896,plain,
( ~ spl42_111
| ~ spl42_96 ),
inference(avatar_split_clause,[],[f498,f944,f1004]) ).
fof(f498,plain,
( ~ sP14
| e1 != op(e1,unit) ),
inference(definition_unfolding,[],[f311,f108]) ).
fof(f311,plain,
( e1 != op(e1,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e4 != op(e1,e0)
& e1 != op(e1,e0)
& e5 != op(e1,e0)
& e2 != op(e1,e0)
& e3 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1885,plain,
( ~ spl42_158
| ~ spl42_258 ),
inference(avatar_split_clause,[],[f456,f1592,f1192]) ).
fof(f456,plain,
( e3 != op(e3,unit)
| ~ sP33 ),
inference(definition_unfolding,[],[f195,f108]) ).
fof(f195,plain,
( e3 != op(e3,e0)
| ~ sP33 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e4 != op(e3,e0)
& e1 != op(e3,e0)
& e5 != op(e3,e0)
& e3 != op(e3,e0)
& e0 != op(e3,e0)
& e2 != op(e3,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1879,plain,
spl42_198,
inference(avatar_split_clause,[],[f421,f1352]) ).
fof(f421,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f129,f108,f108,f108]) ).
fof(f129,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1868,plain,
spl42_183,
inference(avatar_split_clause,[],[f416,f1292]) ).
fof(f416,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f140,f108]) ).
fof(f140,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1827,plain,
spl42_111,
inference(avatar_split_clause,[],[f424,f1004]) ).
fof(f424,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f120,f108]) ).
fof(f120,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1826,plain,
( ~ spl42_128
| ~ spl42_314 ),
inference(avatar_split_clause,[],[f323,f1823,f1072]) ).
fof(f323,plain,
( e3 != op(e5,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e1 != op(e5,e1)
& e3 != op(e5,e1)
& e2 != op(e5,e1)
& e4 != op(e5,e1)
& e0 != op(e5,e1)
& e5 != op(e5,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1816,plain,
( ~ spl42_232
| ~ spl42_312 ),
inference(avatar_split_clause,[],[f284,f1813,f1488]) ).
fof(f284,plain,
( e1 != op(e5,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e4 != op(e5,e2)
& e2 != op(e5,e2)
& e0 != op(e5,e2)
& e3 != op(e5,e2)
& e1 != op(e5,e2)
& e5 != op(e5,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f628,plain,
( ~ spl42_16
| ~ spl42_17 ),
inference(avatar_split_clause,[],[f437,f625,f621]) ).
fof(f437,plain,
( ~ sP39
| op(e3,e2) != unit ),
inference(definition_unfolding,[],[f157,f108]) ).
fof(f157,plain,
( e0 != op(e3,e2)
| ~ sP39 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e5 != op(e3,e2)
& e4 != op(e3,e2)
& e1 != op(e3,e2)
& e2 != op(e3,e2)
& e3 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP39 ),
inference(nnf_transformation,[],[f47]) ).
fof(f619,plain,
( ~ spl42_14
| ~ spl42_15 ),
inference(avatar_split_clause,[],[f317,f616,f612]) ).
fof(f317,plain,
( ~ sP13
| e3 != op(e1,e5) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e0 != op(e1,e5)
& e3 != op(e1,e5)
& e1 != op(e1,e5)
& e5 != op(e1,e5)
& e4 != op(e1,e5)
& e2 != op(e1,e5) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f578,plain,
( ~ spl42_5
| ~ spl42_6 ),
inference(avatar_split_clause,[],[f488,f575,f571]) ).
fof(f488,plain,
( e4 != op(e4,unit)
| ~ sP17 ),
inference(definition_unfolding,[],[f290,f108]) ).
fof(f290,plain,
( e4 != op(e4,e0)
| ~ sP17 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e1 != op(e4,e0)
& e5 != op(e4,e0)
& e3 != op(e4,e0)
& e0 != op(e4,e0)
& e4 != op(e4,e0)
& e2 != op(e4,e0) )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG032+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:03:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.51 % (24757)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (24764)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (24764)Instruction limit reached!
% 0.20/0.52 % (24764)------------------------------
% 0.20/0.52 % (24764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24764)Termination reason: Unknown
% 0.20/0.52 % (24764)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (24764)Memory used [KB]: 1407
% 0.20/0.52 % (24764)Time elapsed: 0.005 s
% 0.20/0.52 % (24764)Instructions burned: 7 (million)
% 0.20/0.52 % (24764)------------------------------
% 0.20/0.52 % (24764)------------------------------
% 0.20/0.52 % (24780)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (24772)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (24763)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (24779)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (24761)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (24773)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (24782)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (24762)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (24760)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (24759)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (24769)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (24758)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (24770)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (24768)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (24767)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (24771)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (24785)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (24774)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (24781)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (24786)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (24784)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (24765)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (24777)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (24765)Instruction limit reached!
% 0.20/0.55 % (24765)------------------------------
% 0.20/0.55 % (24765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (24765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (24765)Termination reason: Unknown
% 0.20/0.55 % (24765)Termination phase: Preprocessing 2
% 0.20/0.55
% 0.20/0.55 % (24765)Memory used [KB]: 1151
% 0.20/0.55 % (24765)Time elapsed: 0.002 s
% 0.20/0.55 % (24765)Instructions burned: 3 (million)
% 0.20/0.55 % (24765)------------------------------
% 0.20/0.55 % (24765)------------------------------
% 0.20/0.55 % (24766)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (24775)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (24778)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (24776)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57 % (24783)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.59 % (24759)Instruction limit reached!
% 0.20/0.59 % (24759)------------------------------
% 0.20/0.59 % (24759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24759)Termination reason: Unknown
% 0.20/0.59 % (24759)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (24759)Memory used [KB]: 1407
% 0.20/0.59 % (24759)Time elapsed: 0.015 s
% 0.20/0.59 % (24759)Instructions burned: 39 (million)
% 0.20/0.59 % (24759)------------------------------
% 0.20/0.59 % (24759)------------------------------
% 0.20/0.59 % (24762)Instruction limit reached!
% 0.20/0.59 % (24762)------------------------------
% 0.20/0.59 % (24762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24762)Termination reason: Unknown
% 0.20/0.59 % (24762)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (24762)Memory used [KB]: 1407
% 0.20/0.59 % (24762)Time elapsed: 0.017 s
% 0.20/0.59 % (24762)Instructions burned: 48 (million)
% 0.20/0.59 % (24762)------------------------------
% 0.20/0.59 % (24762)------------------------------
% 0.20/0.59 % (24761)Instruction limit reached!
% 0.20/0.59 % (24761)------------------------------
% 0.20/0.59 % (24761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24761)Termination reason: Unknown
% 0.20/0.59 % (24761)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (24761)Memory used [KB]: 2174
% 0.20/0.59 % (24761)Time elapsed: 0.020 s
% 0.20/0.59 % (24761)Instructions burned: 52 (million)
% 0.20/0.59 % (24761)------------------------------
% 0.20/0.59 % (24761)------------------------------
% 0.20/0.59 % (24767)Instruction limit reached!
% 0.20/0.59 % (24767)------------------------------
% 0.20/0.59 % (24767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24767)Termination reason: Unknown
% 0.20/0.59 % (24767)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (24767)Memory used [KB]: 1407
% 0.20/0.59 % (24767)Time elapsed: 0.019 s
% 0.20/0.59 % (24767)Instructions burned: 52 (million)
% 0.20/0.59 % (24767)------------------------------
% 0.20/0.59 % (24767)------------------------------
% 0.20/0.59 % (24758)Instruction limit reached!
% 0.20/0.59 % (24758)------------------------------
% 0.20/0.59 % (24758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24758)Termination reason: Unknown
% 0.20/0.59 % (24758)Termination phase: Property scanning
% 0.20/0.59
% 0.20/0.59 % (24758)Memory used [KB]: 1407
% 0.20/0.59 % (24758)Time elapsed: 0.018 s
% 0.20/0.59 % (24758)Instructions burned: 51 (million)
% 0.20/0.59 % (24758)------------------------------
% 0.20/0.59 % (24758)------------------------------
% 0.20/0.59 % (24772)Instruction limit reached!
% 0.20/0.59 % (24772)------------------------------
% 0.20/0.59 % (24772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (24772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (24772)Termination reason: Unknown
% 0.20/0.59 % (24772)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (24772)Memory used [KB]: 2174
% 0.20/0.60 % (24772)Time elapsed: 0.074 s
% 0.20/0.60 % (24772)Instructions burned: 75 (million)
% 0.20/0.60 % (24772)------------------------------
% 0.20/0.60 % (24772)------------------------------
% 1.95/0.60 % (24763)Instruction limit reached!
% 1.95/0.60 % (24763)------------------------------
% 1.95/0.60 % (24763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.60 % (24763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.60 % (24763)Termination reason: Unknown
% 1.95/0.60 % (24763)Termination phase: Finite model building preprocessing
% 1.95/0.60
% 1.95/0.60 % (24763)Memory used [KB]: 2558
% 1.95/0.60 % (24763)Time elapsed: 0.021 s
% 1.95/0.60 % (24763)Instructions burned: 51 (million)
% 1.95/0.60 % (24763)------------------------------
% 1.95/0.60 % (24763)------------------------------
% 1.95/0.60 % (24766)Instruction limit reached!
% 1.95/0.60 % (24766)------------------------------
% 1.95/0.60 % (24766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.60 % (24766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.60 % (24766)Termination reason: Unknown
% 1.95/0.60 % (24766)Termination phase: Property scanning
% 1.95/0.60
% 1.95/0.60 % (24766)Memory used [KB]: 1407
% 1.95/0.60 % (24766)Time elapsed: 0.018 s
% 1.95/0.60 % (24766)Instructions burned: 51 (million)
% 1.95/0.60 % (24766)------------------------------
% 1.95/0.60 % (24766)------------------------------
% 1.95/0.61 % (24760)Instruction limit reached!
% 1.95/0.61 % (24760)------------------------------
% 1.95/0.61 % (24760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.61 % (24760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.61 % (24760)Termination reason: Unknown
% 1.95/0.61 % (24760)Termination phase: Property scanning
% 1.95/0.61
% 1.95/0.61 % (24760)Memory used [KB]: 2046
% 1.95/0.61 % (24760)Time elapsed: 0.018 s
% 1.95/0.61 % (24760)Instructions burned: 51 (million)
% 1.95/0.61 % (24760)------------------------------
% 1.95/0.61 % (24760)------------------------------
% 2.14/0.62 % (24774)Instruction limit reached!
% 2.14/0.62 % (24774)------------------------------
% 2.14/0.62 % (24774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.62 % (24774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.62 % (24774)Termination reason: Unknown
% 2.14/0.62 % (24774)Termination phase: Blocked clause elimination
% 2.14/0.62
% 2.14/0.62 % (24774)Memory used [KB]: 1535
% 2.14/0.62 % (24774)Time elapsed: 0.021 s
% 2.14/0.62 % (24774)Instructions burned: 59 (million)
% 2.14/0.62 % (24774)------------------------------
% 2.14/0.62 % (24774)------------------------------
% 2.14/0.62 % (24771)Instruction limit reached!
% 2.14/0.62 % (24771)------------------------------
% 2.14/0.62 % (24771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.62 % (24771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.62 % (24771)Termination reason: Unknown
% 2.14/0.62 % (24771)Termination phase: Saturation
% 2.14/0.62
% 2.14/0.62 % (24771)Memory used [KB]: 6908
% 2.14/0.62 % (24771)Time elapsed: 0.026 s
% 2.14/0.62 % (24771)Instructions burned: 69 (million)
% 2.14/0.62 % (24771)------------------------------
% 2.14/0.62 % (24771)------------------------------
% 2.22/0.64 % (24768)Instruction limit reached!
% 2.22/0.64 % (24768)------------------------------
% 2.22/0.64 % (24768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.64 % (24768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.64 % (24768)Termination reason: Unknown
% 2.22/0.64 % (24768)Termination phase: Property scanning
% 2.22/0.64
% 2.22/0.64 % (24768)Memory used [KB]: 2046
% 2.22/0.64 % (24768)Time elapsed: 0.034 s
% 2.22/0.64 % (24768)Instructions burned: 102 (million)
% 2.22/0.64 % (24768)------------------------------
% 2.22/0.64 % (24768)------------------------------
% 2.22/0.65 % (24783)Instruction limit reached!
% 2.22/0.65 % (24783)------------------------------
% 2.22/0.65 % (24783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65 % (24783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65 % (24783)Termination reason: Unknown
% 2.22/0.65 % (24783)Termination phase: Saturation
% 2.22/0.65
% 2.22/0.65 % (24783)Memory used [KB]: 6908
% 2.22/0.65 % (24783)Time elapsed: 0.028 s
% 2.22/0.65 % (24783)Instructions burned: 68 (million)
% 2.22/0.65 % (24783)------------------------------
% 2.22/0.65 % (24783)------------------------------
% 2.22/0.65 % (24773)Instruction limit reached!
% 2.22/0.65 % (24773)------------------------------
% 2.22/0.65 % (24773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65 % (24773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65 % (24773)Termination reason: Unknown
% 2.22/0.65 % (24773)Termination phase: Saturation
% 2.22/0.65
% 2.22/0.65 % (24773)Memory used [KB]: 7931
% 2.22/0.65 % (24773)Time elapsed: 0.234 s
% 2.22/0.65 % (24773)Instructions burned: 101 (million)
% 2.22/0.65 % (24773)------------------------------
% 2.22/0.65 % (24773)------------------------------
% 2.22/0.67 % (24787)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.22/0.68 % (24769)Instruction limit reached!
% 2.22/0.68 % (24769)------------------------------
% 2.22/0.68 % (24769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68 % (24769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68 % (24769)Termination reason: Unknown
% 2.22/0.68 % (24769)Termination phase: Saturation
% 2.22/0.68
% 2.22/0.68 % (24769)Memory used [KB]: 8187
% 2.22/0.68 % (24769)Time elapsed: 0.045 s
% 2.22/0.68 % (24769)Instructions burned: 102 (million)
% 2.22/0.68 % (24769)------------------------------
% 2.22/0.68 % (24769)------------------------------
% 2.22/0.68 % (24770)Instruction limit reached!
% 2.22/0.68 % (24770)------------------------------
% 2.22/0.68 % (24770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68 % (24770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68 % (24770)Termination reason: Unknown
% 2.22/0.68 % (24770)Termination phase: Saturation
% 2.22/0.68
% 2.22/0.68 % (24770)Memory used [KB]: 8059
% 2.22/0.68 % (24770)Time elapsed: 0.043 s
% 2.22/0.68 % (24770)Instructions burned: 99 (million)
% 2.22/0.68 % (24770)------------------------------
% 2.22/0.68 % (24770)------------------------------
% 2.22/0.70 % (24776)Instruction limit reached!
% 2.22/0.70 % (24776)------------------------------
% 2.22/0.70 % (24776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.70 % (24776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.70 % (24776)Termination reason: Unknown
% 2.22/0.70 % (24776)Termination phase: Saturation
% 2.22/0.70
% 2.22/0.70 % (24776)Memory used [KB]: 1663
% 2.22/0.70 % (24776)Time elapsed: 0.043 s
% 2.22/0.70 % (24776)Instructions burned: 101 (million)
% 2.22/0.70 % (24776)------------------------------
% 2.22/0.70 % (24776)------------------------------
% 2.22/0.71 % (24775)Instruction limit reached!
% 2.22/0.71 % (24775)------------------------------
% 2.22/0.71 % (24775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.71 % (24775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.71 % (24775)Termination reason: Unknown
% 2.22/0.71 % (24775)Termination phase: Saturation
% 2.22/0.71
% 2.22/0.71 % (24775)Memory used [KB]: 7931
% 2.22/0.71 % (24775)Time elapsed: 0.042 s
% 2.22/0.71 % (24775)Instructions burned: 100 (million)
% 2.22/0.71 % (24775)------------------------------
% 2.22/0.71 % (24775)------------------------------
% 2.63/0.71 % (24788)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.63/0.72 % (24794)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.63/0.72 % (24790)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.63/0.72 % (24791)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.63/0.72 % (24793)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.63/0.74 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.63/0.74 % (24796)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.63/0.74 % (24797)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.63/0.74 % (24795)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.63/0.74 % (24784)Instruction limit reached!
% 2.63/0.74 % (24784)------------------------------
% 2.63/0.74 % (24784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (24784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (24784)Termination reason: Unknown
% 2.63/0.74 % (24784)Termination phase: Saturation
% 2.63/0.74
% 2.63/0.74 % (24784)Memory used [KB]: 2302
% 2.63/0.74 % (24784)Time elapsed: 0.059 s
% 2.63/0.74 % (24784)Instructions burned: 181 (million)
% 2.63/0.74 % (24784)------------------------------
% 2.63/0.74 % (24784)------------------------------
% 2.63/0.74 % (24789)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.63/0.75 % (24792)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.63/0.76 % (24798)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.63/0.76 % (24799)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.63/0.77 % (24778)Instruction limit reached!
% 2.63/0.77 % (24778)------------------------------
% 2.63/0.77 % (24778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.77 % (24778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.77 % (24778)Termination reason: Unknown
% 2.63/0.77 % (24778)Termination phase: Saturation
% 2.63/0.77
% 2.63/0.77 % (24778)Memory used [KB]: 6396
% 2.63/0.77 % (24778)Time elapsed: 0.063 s
% 2.63/0.77 % (24778)Instructions burned: 139 (million)
% 2.63/0.77 % (24778)------------------------------
% 2.63/0.77 % (24778)------------------------------
% 2.87/0.77 % (24801)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 2.87/0.78 % (24800)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.87/0.78 % (24794)Instruction limit reached!
% 2.87/0.78 % (24794)------------------------------
% 2.87/0.78 % (24794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.79 % (24794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.79 % (24794)Termination reason: Unknown
% 2.87/0.79 % (24794)Termination phase: Saturation
% 2.87/0.79
% 2.87/0.79 % (24794)Memory used [KB]: 6908
% 2.87/0.79 % (24794)Time elapsed: 0.069 s
% 2.87/0.79 % (24794)Instructions burned: 68 (million)
% 2.87/0.79 % (24794)------------------------------
% 2.87/0.79 % (24794)------------------------------
% 2.87/0.81 % (24804)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.87/0.81 % (24803)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.87/0.81 % (24802)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.87/0.82 % (24777)Instruction limit reached!
% 2.87/0.82 % (24777)------------------------------
% 2.87/0.82 % (24777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.82 % (24777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.82 % (24777)Termination reason: Unknown
% 2.87/0.82 % (24777)Termination phase: Saturation
% 2.87/0.82
% 2.87/0.82 % (24777)Memory used [KB]: 6396
% 2.87/0.82 % (24777)Time elapsed: 0.081 s
% 2.87/0.82 % (24777)Instructions burned: 176 (million)
% 2.87/0.82 % (24777)------------------------------
% 2.87/0.82 % (24777)------------------------------
% 2.87/0.84 % (24805)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.87/0.84 % (24806)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.87/0.84 % (24797)Instruction limit reached!
% 2.87/0.84 % (24797)------------------------------
% 2.87/0.84 % (24797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.84 % (24797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.84 % (24797)Termination reason: Unknown
% 2.87/0.84 % (24797)Termination phase: Saturation
% 2.87/0.84
% 2.87/0.84 % (24797)Memory used [KB]: 7803
% 2.87/0.84 % (24797)Time elapsed: 0.214 s
% 2.87/0.84 % (24797)Instructions burned: 91 (million)
% 2.87/0.84 % (24797)------------------------------
% 2.87/0.84 % (24797)------------------------------
% 2.87/0.85 % (24789)Instruction limit reached!
% 2.87/0.85 % (24789)------------------------------
% 2.87/0.85 % (24789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.85 % (24789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.85 % (24789)Termination reason: Unknown
% 2.87/0.85 % (24789)Termination phase: Saturation
% 2.87/0.85
% 2.87/0.85 % (24789)Memory used [KB]: 7803
% 2.87/0.85 % (24789)Time elapsed: 0.225 s
% 2.87/0.85 % (24789)Instructions burned: 93 (million)
% 2.87/0.85 % (24789)------------------------------
% 2.87/0.85 % (24789)------------------------------
% 2.87/0.86 % (24787)First to succeed.
% 3.30/0.88 % (24807)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.32/0.89 % (24804)Instruction limit reached!
% 3.32/0.89 % (24804)------------------------------
% 3.32/0.89 % (24804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.89 % (24804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.89 % (24804)Termination reason: Unknown
% 3.32/0.89 % (24804)Termination phase: Saturation
% 3.32/0.89
% 3.32/0.89 % (24804)Memory used [KB]: 6908
% 3.32/0.89 % (24804)Time elapsed: 0.025 s
% 3.32/0.89 % (24804)Instructions burned: 69 (million)
% 3.32/0.89 % (24804)------------------------------
% 3.32/0.89 % (24804)------------------------------
% 3.32/0.90 % (24808)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.32/0.91 % (24809)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.50/0.95 % (24795)Also succeeded, but the first one will report.
% 3.50/0.95 % (24787)Refutation found. Thanks to Tanya!
% 3.50/0.95 % SZS status Theorem for theBenchmark
% 3.50/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/0.96 % (24787)------------------------------
% 3.50/0.96 % (24787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/0.96 % (24787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/0.96 % (24787)Termination reason: Refutation
% 3.50/0.96
% 3.50/0.96 % (24787)Memory used [KB]: 9338
% 3.50/0.96 % (24787)Time elapsed: 0.260 s
% 3.50/0.96 % (24787)Instructions burned: 183 (million)
% 3.50/0.96 % (24787)------------------------------
% 3.50/0.96 % (24787)------------------------------
% 3.50/0.96 % (24756)Success in time 0.628 s
%------------------------------------------------------------------------------