TSTP Solution File: ALG129+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG129+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 : n022.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 15:42:57 EDT 2022
% Result : Theorem 2.63s 0.81s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 462
% Syntax : Number of formulae : 2096 ( 185 unt; 0 def)
% Number of atoms : 8240 (4109 equ)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 9812 (3668 ~;4064 |;1779 &)
% ( 301 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 447 ( 445 usr; 446 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5917,plain,
$false,
inference(avatar_sat_refutation,[],[f1210,f1236,f1253,f1271,f1280,f1289,f1315,f1325,f1383,f1401,f1410,f1423,f1457,f1546,f1564,f1574,f1579,f1584,f1593,f1607,f1667,f1668,f1687,f1710,f1711,f1771,f1849,f1854,f1868,f1888,f1904,f1914,f1920,f1946,f1956,f1967,f1991,f2005,f2011,f2017,f2019,f2022,f2031,f2083,f2088,f2093,f2104,f2105,f2115,f2124,f2125,f2130,f2135,f2136,f2148,f2173,f2192,f2195,f2200,f2316,f2317,f2318,f2324,f2326,f2481,f2482,f2488,f2500,f2581,f2593,f2608,f2618,f2623,f2631,f2653,f2671,f2681,f2682,f2685,f2702,f2708,f2714,f2731,f2748,f2749,f2766,f2767,f2771,f2777,f2779,f2787,f2795,f2797,f2802,f2813,f2829,f2830,f2831,f2844,f2845,f2846,f2848,f2859,f2867,f2868,f2871,f2875,f2876,f2877,f2878,f2887,f2888,f2893,f2936,f2939,f2940,f2949,f2955,f2963,f2966,f2975,f2980,f2991,f2995,f2997,f2999,f3013,f3014,f3020,f3035,f3039,f3044,f3045,f3046,f3051,f3057,f3071,f3086,f3092,f3098,f3102,f3103,f3124,f3126,f3137,f3140,f3143,f3151,f3157,f3159,f3160,f3161,f3162,f3174,f3179,f3180,f3181,f3182,f3184,f3185,f3186,f3188,f3191,f3198,f3199,f3206,f3213,f3214,f3223,f3233,f3234,f3236,f3246,f3255,f3266,f3268,f3269,f3272,f3273,f3274,f3280,f3283,f3285,f3287,f3290,f3296,f3297,f3299,f3300,f3302,f3303,f3317,f3318,f3332,f3342,f3354,f3355,f3358,f3362,f3368,f3377,f3379,f3383,f3386,f3390,f3397,f3398,f3401,f3403,f3415,f3418,f3420,f3422,f3433,f3444,f3447,f3455,f3457,f3461,f3463,f3478,f3492,f3495,f3496,f3499,f3502,f3510,f3516,f3524,f3528,f3531,f3532,f3550,f3552,f3553,f3558,f3565,f3567,f3573,f3575,f3576,f3579,f3585,f3595,f3603,f3612,f3615,f3624,f3626,f3630,f3631,f3632,f3637,f3639,f3641,f3646,f3649,f3650,f3651,f3654,f3669,f3670,f3673,f3675,f3676,f3677,f3679,f3683,f3690,f3706,f3712,f3715,f3718,f3719,f3721,f3724,f3726,f3727,f3729,f3741,f3743,f3757,f3761,f3762,f3770,f3773,f3775,f3783,f3785,f3786,f3791,f3792,f3793,f3823,f3825,f3834,f3837,f3838,f3853,f3854,f3856,f3857,f3861,f3863,f3867,f3871,f3893,f3896,f3903,f3906,f3907,f3918,f3925,f3927,f3929,f3936,f3937,f3942,f3950,f3959,f3963,f3968,f3969,f3970,f3971,f3987,f3989,f4004,f4005,f4006,f4042,f4045,f4051,f4055,f4060,f4063,f4089,f4095,f4096,f4104,f4108,f4120,f4134,f4137,f4145,f4147,f4152,f4160,f4162,f4164,f4167,f4170,f4182,f4187,f4190,f4208,f4222,f4230,f4231,f4234,f4250,f4251,f4253,f4272,f4274,f4294,f4308,f4326,f4342,f4348,f4366,f4371,f4381,f4386,f4390,f4396,f4410,f4423,f4424,f4437,f4451,f4459,f4462,f4465,f4467,f4488,f4503,f4519,f4527,f4546,f4550,f4556,f4557,f4566,f4580,f4595,f4610,f4637,f4649,f4676,f4695,f4718,f4721,f4755,f4758,f4759,f4782,f4784,f4801,f4803,f4808,f4812,f4820,f4821,f4828,f4840,f4847,f4914,f4917,f4932,f4940,f4947,f4949,f4950,f4953,f4958,f4968,f4973,f4976,f4995,f5004,f5036,f5093,f5096,f5104,f5106,f5109,f5112,f5124,f5139,f5174,f5212,f5219,f5223,f5265,f5266,f5276,f5293,f5308,f5310,f5317,f5320,f5331,f5339,f5346,f5350,f5356,f5358,f5376,f5400,f5425,f5435,f5441,f5444,f5447,f5452,f5457,f5460,f5465,f5471,f5474,f5486,f5489,f5498,f5516,f5533,f5544,f5568,f5577,f5597,f5643,f5659,f5680,f5693,f5699,f5713,f5719,f5733,f5743,f5752,f5757,f5766,f5779,f5788,f5797,f5829,f5871,f5888,f5906]) ).
fof(f5906,plain,
( ~ spl144_189
| ~ spl144_201
| ~ spl144_358 ),
inference(avatar_contradiction_clause,[],[f5905]) ).
fof(f5905,plain,
( $false
| ~ spl144_189
| ~ spl144_201
| ~ spl144_358 ),
inference(subsumption_resolution,[],[f5904,f664]) ).
fof(f664,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e21
& e21 != e23
& e22 != e23
& e20 != e23
& e20 != e22
& e21 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f5904,plain,
( e20 = e23
| ~ spl144_189
| ~ spl144_201
| ~ spl144_358 ),
inference(forward_demodulation,[],[f5903,f2077]) ).
fof(f2077,plain,
( e20 = op2(e23,e21)
| ~ spl144_189 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f2075,plain,
( spl144_189
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_189])]) ).
fof(f5903,plain,
( e23 = op2(e23,e21)
| ~ spl144_201
| ~ spl144_358 ),
inference(forward_demodulation,[],[f5902,f2944]) ).
fof(f2944,plain,
( e23 = h2(e12)
| ~ spl144_358 ),
inference(avatar_component_clause,[],[f2943]) ).
fof(f2943,plain,
( spl144_358
<=> e23 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_358])]) ).
fof(f5902,plain,
( op2(e23,e21) = h2(e12)
| ~ spl144_201 ),
inference(forward_demodulation,[],[f3750,f2141]) ).
fof(f2141,plain,
( e23 = h2(e13)
| ~ spl144_201 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f2139,plain,
( spl144_201
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_201])]) ).
fof(f3750,plain,
h2(e12) = op2(h2(e13),e21),
inference(forward_demodulation,[],[f1046,f1049]) ).
fof(f1049,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e13)
& e21 = h2(e10)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f1046,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f15]) ).
fof(f5888,plain,
( ~ spl144_38
| ~ spl144_79 ),
inference(avatar_contradiction_clause,[],[f5887]) ).
fof(f5887,plain,
( $false
| ~ spl144_38
| ~ spl144_79 ),
inference(subsumption_resolution,[],[f5886,f667]) ).
fof(f667,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f5886,plain,
( e20 = e21
| ~ spl144_38
| ~ spl144_79 ),
inference(backward_demodulation,[],[f1545,f1359]) ).
fof(f1359,plain,
( e20 = op2(e22,e22)
| ~ spl144_38 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1358,plain,
( spl144_38
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_38])]) ).
fof(f1545,plain,
( e21 = op2(e22,e22)
| ~ spl144_79 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f1543,plain,
( spl144_79
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_79])]) ).
fof(f5871,plain,
( ~ spl144_154
| ~ spl144_379 ),
inference(avatar_contradiction_clause,[],[f5870]) ).
fof(f5870,plain,
( $false
| ~ spl144_154
| ~ spl144_379 ),
inference(subsumption_resolution,[],[f5591,f3117]) ).
fof(f3117,plain,
( e23 = op2(e21,e22)
| ~ spl144_379 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f3115,plain,
( spl144_379
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_379])]) ).
fof(f5591,plain,
( e23 != op2(e21,e22)
| ~ spl144_154 ),
inference(forward_demodulation,[],[f1044,f1897]) ).
fof(f1897,plain,
( e23 = op2(e23,e22)
| ~ spl144_154 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f1896,plain,
( spl144_154
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_154])]) ).
fof(f1044,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e22) != op2(e21,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e21) != op2(e22,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e22,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e23) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e22) != op2(e22,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5829,plain,
( ~ spl144_109
| ~ spl144_421 ),
inference(avatar_split_clause,[],[f5828,f3663,f1689]) ).
fof(f1689,plain,
( spl144_109
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_109])]) ).
fof(f3663,plain,
( spl144_421
<=> e21 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_421])]) ).
fof(f5828,plain,
( e21 != op2(e21,e22)
| ~ spl144_421 ),
inference(forward_demodulation,[],[f3593,f3665]) ).
fof(f3665,plain,
( e21 = h3(e13)
| ~ spl144_421 ),
inference(avatar_component_clause,[],[f3663]) ).
fof(f3593,plain,
op2(e21,e22) != h3(e13),
inference(backward_demodulation,[],[f1026,f312]) ).
fof(f312,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& e22 = h3(e10)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& op2(e22,e22) = h3(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f1026,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5797,plain,
( ~ spl144_329
| ~ spl144_330 ),
inference(avatar_contradiction_clause,[],[f5796]) ).
fof(f5796,plain,
( $false
| ~ spl144_329
| ~ spl144_330 ),
inference(subsumption_resolution,[],[f5795,f663]) ).
fof(f663,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f5795,plain,
( e20 = e22
| ~ spl144_329
| ~ spl144_330 ),
inference(forward_demodulation,[],[f2757,f2753]) ).
fof(f2753,plain,
( e20 = op2(e21,e23)
| ~ spl144_329 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f2751,plain,
( spl144_329
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_329])]) ).
fof(f2757,plain,
( e22 = op2(e21,e23)
| ~ spl144_330 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f2755,plain,
( spl144_330
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_330])]) ).
fof(f5788,plain,
( ~ spl144_51
| spl144_130
| ~ spl144_172
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5787]) ).
fof(f5787,plain,
( $false
| ~ spl144_51
| spl144_130
| ~ spl144_172
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5786,f1417]) ).
fof(f1417,plain,
( op2(e20,e20) = e23
| ~ spl144_51 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1416,plain,
( spl144_51
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_51])]) ).
fof(f5786,plain,
( op2(e20,e20) != e23
| spl144_130
| ~ spl144_172
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5785,f2891]) ).
fof(f2891,plain,
( e23 = h1(e13)
| ~ spl144_347 ),
inference(avatar_component_clause,[],[f2890]) ).
fof(f2890,plain,
( spl144_347
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_347])]) ).
fof(f5785,plain,
( op2(e20,e20) != h1(e13)
| spl144_130
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5784,f991]) ).
fof(f991,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(op1(e10,e10),e10)
& e11 = op1(op1(e10,e10),op1(e10,e10))
& op1(e10,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f5784,plain,
( op2(e20,e20) != h1(op1(e10,e10))
| spl144_130
| ~ spl144_172 ),
inference(forward_demodulation,[],[f1792,f1989]) ).
fof(f1989,plain,
( e20 = h1(e10)
| ~ spl144_172 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f1988,plain,
( spl144_172
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_172])]) ).
fof(f1792,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl144_130 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1790,plain,
( spl144_130
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_130])]) ).
fof(f5779,plain,
( ~ spl144_89
| spl144_144
| ~ spl144_172
| ~ spl144_303
| ~ spl144_315
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5778]) ).
fof(f5778,plain,
( $false
| ~ spl144_89
| spl144_144
| ~ spl144_172
| ~ spl144_303
| ~ spl144_315
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5777,f2598]) ).
fof(f2598,plain,
( e22 = op2(e23,e20)
| ~ spl144_303 ),
inference(avatar_component_clause,[],[f2596]) ).
fof(f2596,plain,
( spl144_303
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_303])]) ).
fof(f5777,plain,
( e22 != op2(e23,e20)
| ~ spl144_89
| spl144_144
| ~ spl144_172
| ~ spl144_315
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5776,f1591]) ).
fof(f1591,plain,
( e22 = h1(e12)
| ~ spl144_89 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1590,plain,
( spl144_89
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_89])]) ).
fof(f5776,plain,
( op2(e23,e20) != h1(e12)
| spl144_144
| ~ spl144_172
| ~ spl144_315
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5775,f2663]) ).
fof(f2663,plain,
( e12 = op1(e13,e10)
| ~ spl144_315 ),
inference(avatar_component_clause,[],[f2661]) ).
fof(f2661,plain,
( spl144_315
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_315])]) ).
fof(f5775,plain,
( op2(e23,e20) != h1(op1(e13,e10))
| spl144_144
| ~ spl144_172
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5774,f2891]) ).
fof(f5774,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| spl144_144
| ~ spl144_172 ),
inference(forward_demodulation,[],[f1848,f1989]) ).
fof(f1848,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl144_144 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f1846,plain,
( spl144_144
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_144])]) ).
fof(f5766,plain,
( ~ spl144_12
| ~ spl144_52
| spl144_141
| ~ spl144_172
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5765]) ).
fof(f5765,plain,
( $false
| ~ spl144_12
| ~ spl144_52
| spl144_141
| ~ spl144_172
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5764,f1422]) ).
fof(f1422,plain,
( e20 = op2(e20,e23)
| ~ spl144_52 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1420,plain,
( spl144_52
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_52])]) ).
fof(f5764,plain,
( e20 != op2(e20,e23)
| ~ spl144_12
| spl144_141
| ~ spl144_172
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5763,f1989]) ).
fof(f5763,plain,
( op2(e20,e23) != h1(e10)
| ~ spl144_12
| spl144_141
| ~ spl144_172
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5762,f1244]) ).
fof(f1244,plain,
( e10 = op1(e10,e13)
| ~ spl144_12 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl144_12
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_12])]) ).
fof(f5762,plain,
( op2(e20,e23) != h1(op1(e10,e13))
| spl144_141
| ~ spl144_172
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5761,f1989]) ).
fof(f5761,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl144_141
| ~ spl144_347 ),
inference(forward_demodulation,[],[f1836,f2891]) ).
fof(f1836,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl144_141 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1834,plain,
( spl144_141
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_141])]) ).
fof(f5757,plain,
( ~ spl144_134
| spl144_142
| ~ spl144_199
| ~ spl144_319
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5756]) ).
fof(f5756,plain,
( $false
| ~ spl144_134
| spl144_142
| ~ spl144_199
| ~ spl144_319
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5755,f2696]) ).
fof(f2696,plain,
( e21 = op2(e23,e23)
| ~ spl144_319 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f2694,plain,
( spl144_319
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_319])]) ).
fof(f5755,plain,
( e21 != op2(e23,e23)
| ~ spl144_134
| spl144_142
| ~ spl144_199
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5754,f1807]) ).
fof(f1807,plain,
( e21 = h1(e11)
| ~ spl144_134 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f1806,plain,
( spl144_134
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_134])]) ).
fof(f5754,plain,
( op2(e23,e23) != h1(e11)
| spl144_142
| ~ spl144_199
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5753,f2128]) ).
fof(f2128,plain,
( e11 = op1(e13,e13)
| ~ spl144_199 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2127,plain,
( spl144_199
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_199])]) ).
fof(f5753,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl144_142
| ~ spl144_347 ),
inference(forward_demodulation,[],[f1840,f2891]) ).
fof(f1840,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl144_142 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1838,plain,
( spl144_142
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_142])]) ).
fof(f5752,plain,
( ~ spl144_79
| ~ spl144_89
| ~ spl144_124
| ~ spl144_134
| spl144_139 ),
inference(avatar_contradiction_clause,[],[f5751]) ).
fof(f5751,plain,
( $false
| ~ spl144_79
| ~ spl144_89
| ~ spl144_124
| ~ spl144_134
| spl144_139 ),
inference(subsumption_resolution,[],[f5750,f1545]) ).
fof(f5750,plain,
( e21 != op2(e22,e22)
| ~ spl144_89
| ~ spl144_124
| ~ spl144_134
| spl144_139 ),
inference(forward_demodulation,[],[f5749,f1807]) ).
fof(f5749,plain,
( op2(e22,e22) != h1(e11)
| ~ spl144_89
| ~ spl144_124
| spl144_139 ),
inference(forward_demodulation,[],[f5748,f1766]) ).
fof(f1766,plain,
( e11 = op1(e12,e12)
| ~ spl144_124 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1764,plain,
( spl144_124
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_124])]) ).
fof(f5748,plain,
( op2(e22,e22) != h1(op1(e12,e12))
| ~ spl144_89
| spl144_139 ),
inference(forward_demodulation,[],[f1828,f1591]) ).
fof(f1828,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl144_139 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f1826,plain,
( spl144_139
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_139])]) ).
fof(f5743,plain,
( ~ spl144_28
| ~ spl144_77
| ~ spl144_89
| spl144_140
| ~ spl144_172 ),
inference(avatar_contradiction_clause,[],[f5742]) ).
fof(f5742,plain,
( $false
| ~ spl144_28
| ~ spl144_77
| ~ spl144_89
| spl144_140
| ~ spl144_172 ),
inference(subsumption_resolution,[],[f5741,f1536]) ).
fof(f1536,plain,
( e22 = op2(e20,e22)
| ~ spl144_77 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1534,plain,
( spl144_77
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_77])]) ).
fof(f5741,plain,
( e22 != op2(e20,e22)
| ~ spl144_28
| ~ spl144_89
| spl144_140
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5740,f1591]) ).
fof(f5740,plain,
( op2(e20,e22) != h1(e12)
| ~ spl144_28
| ~ spl144_89
| spl144_140
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5739,f1314]) ).
fof(f1314,plain,
( e12 = op1(e10,e12)
| ~ spl144_28 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1312,plain,
( spl144_28
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_28])]) ).
fof(f5739,plain,
( op2(e20,e22) != h1(op1(e10,e12))
| ~ spl144_89
| spl144_140
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5738,f1989]) ).
fof(f5738,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e22)
| ~ spl144_89
| spl144_140 ),
inference(forward_demodulation,[],[f1832,f1591]) ).
fof(f1832,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl144_140 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f1830,plain,
( spl144_140
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_140])]) ).
fof(f5733,plain,
( ~ spl144_89
| ~ spl144_134
| spl144_137
| ~ spl144_172
| ~ spl144_207
| ~ spl144_360 ),
inference(avatar_contradiction_clause,[],[f5732]) ).
fof(f5732,plain,
( $false
| ~ spl144_89
| ~ spl144_134
| spl144_137
| ~ spl144_172
| ~ spl144_207
| ~ spl144_360 ),
inference(subsumption_resolution,[],[f5731,f2962]) ).
fof(f2962,plain,
( e20 = op2(e21,e22)
| ~ spl144_360 ),
inference(avatar_component_clause,[],[f2960]) ).
fof(f2960,plain,
( spl144_360
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_360])]) ).
fof(f5731,plain,
( e20 != op2(e21,e22)
| ~ spl144_89
| ~ spl144_134
| spl144_137
| ~ spl144_172
| ~ spl144_207 ),
inference(forward_demodulation,[],[f5730,f1989]) ).
fof(f5730,plain,
( op2(e21,e22) != h1(e10)
| ~ spl144_89
| ~ spl144_134
| spl144_137
| ~ spl144_207 ),
inference(forward_demodulation,[],[f5729,f2170]) ).
fof(f2170,plain,
( e10 = op1(e11,e12)
| ~ spl144_207 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2168,plain,
( spl144_207
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_207])]) ).
fof(f5729,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| ~ spl144_89
| ~ spl144_134
| spl144_137 ),
inference(forward_demodulation,[],[f5728,f1807]) ).
fof(f5728,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e22)
| ~ spl144_89
| spl144_137 ),
inference(forward_demodulation,[],[f1820,f1591]) ).
fof(f1820,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl144_137 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f1818,plain,
( spl144_137
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_137])]) ).
fof(f5719,plain,
( ~ spl144_60
| ~ spl144_116
| ~ spl144_134
| spl144_138
| ~ spl144_172 ),
inference(avatar_contradiction_clause,[],[f5718]) ).
fof(f5718,plain,
( $false
| ~ spl144_60
| ~ spl144_116
| ~ spl144_134
| spl144_138
| ~ spl144_172 ),
inference(subsumption_resolution,[],[f5717,f1725]) ).
fof(f1725,plain,
( e21 = op2(e21,e20)
| ~ spl144_116 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f1724,plain,
( spl144_116
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_116])]) ).
fof(f5717,plain,
( e21 != op2(e21,e20)
| ~ spl144_60
| ~ spl144_134
| spl144_138
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5716,f1807]) ).
fof(f5716,plain,
( op2(e21,e20) != h1(e11)
| ~ spl144_60
| ~ spl144_134
| spl144_138
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5715,f1460]) ).
fof(f1460,plain,
( e11 = op1(e11,e10)
| ~ spl144_60 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl144_60
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_60])]) ).
fof(f5715,plain,
( op2(e21,e20) != h1(op1(e11,e10))
| ~ spl144_134
| spl144_138
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5714,f1807]) ).
fof(f5714,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| spl144_138
| ~ spl144_172 ),
inference(forward_demodulation,[],[f1824,f1989]) ).
fof(f1824,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl144_138 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f1822,plain,
( spl144_138
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_138])]) ).
fof(f5713,plain,
( ~ spl144_2
| ~ spl144_134
| spl144_135
| ~ spl144_279
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5712]) ).
fof(f5712,plain,
( $false
| ~ spl144_2
| ~ spl144_134
| spl144_135
| ~ spl144_279
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5711,f2487]) ).
fof(f2487,plain,
( e23 = op2(e21,e23)
| ~ spl144_279 ),
inference(avatar_component_clause,[],[f2485]) ).
fof(f2485,plain,
( spl144_279
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_279])]) ).
fof(f5711,plain,
( e23 != op2(e21,e23)
| ~ spl144_2
| ~ spl144_134
| spl144_135
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5710,f2891]) ).
fof(f5710,plain,
( op2(e21,e23) != h1(e13)
| ~ spl144_2
| ~ spl144_134
| spl144_135
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5709,f1201]) ).
fof(f1201,plain,
( e13 = op1(e11,e13)
| ~ spl144_2 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1199,plain,
( spl144_2
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_2])]) ).
fof(f5709,plain,
( op2(e21,e23) != h1(op1(e11,e13))
| ~ spl144_134
| spl144_135
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5708,f1807]) ).
fof(f5708,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| spl144_135
| ~ spl144_347 ),
inference(forward_demodulation,[],[f1812,f2891]) ).
fof(f1812,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl144_135 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f1810,plain,
( spl144_135
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_135])]) ).
fof(f5699,plain,
( ~ spl144_134
| spl144_136
| ~ spl144_172
| ~ spl144_189
| ~ spl144_341
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5698]) ).
fof(f5698,plain,
( $false
| ~ spl144_134
| spl144_136
| ~ spl144_172
| ~ spl144_189
| ~ spl144_341
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5697,f2077]) ).
fof(f5697,plain,
( e20 != op2(e23,e21)
| ~ spl144_134
| spl144_136
| ~ spl144_172
| ~ spl144_341
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5696,f1989]) ).
fof(f5696,plain,
( op2(e23,e21) != h1(e10)
| ~ spl144_134
| spl144_136
| ~ spl144_341
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5695,f2839]) ).
fof(f2839,plain,
( e10 = op1(e13,e11)
| ~ spl144_341 ),
inference(avatar_component_clause,[],[f2837]) ).
fof(f2837,plain,
( spl144_341
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_341])]) ).
fof(f5695,plain,
( op2(e23,e21) != h1(op1(e13,e11))
| ~ spl144_134
| spl144_136
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5694,f2891]) ).
fof(f5694,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e21)
| ~ spl144_134
| spl144_136 ),
inference(forward_demodulation,[],[f1816,f1807]) ).
fof(f1816,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl144_136 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f1814,plain,
( spl144_136
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_136])]) ).
fof(f5693,plain,
( ~ spl144_33
| ~ spl144_89
| spl144_131
| ~ spl144_154
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5692]) ).
fof(f5692,plain,
( $false
| ~ spl144_33
| ~ spl144_89
| spl144_131
| ~ spl144_154
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5691,f1897]) ).
fof(f5691,plain,
( e23 != op2(e23,e22)
| ~ spl144_33
| ~ spl144_89
| spl144_131
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5690,f2891]) ).
fof(f5690,plain,
( op2(e23,e22) != h1(e13)
| ~ spl144_33
| ~ spl144_89
| spl144_131
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5689,f1337]) ).
fof(f1337,plain,
( e13 = op1(e13,e12)
| ~ spl144_33 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1336,plain,
( spl144_33
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_33])]) ).
fof(f5689,plain,
( op2(e23,e22) != h1(op1(e13,e12))
| ~ spl144_89
| spl144_131
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5688,f2891]) ).
fof(f5688,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e22)
| ~ spl144_89
| spl144_131 ),
inference(forward_demodulation,[],[f1796,f1591]) ).
fof(f1796,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl144_131 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f1794,plain,
( spl144_131
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_131])]) ).
fof(f5680,plain,
( ~ spl144_89
| ~ spl144_99
| spl144_133
| ~ spl144_157
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f5679]) ).
fof(f5679,plain,
( $false
| ~ spl144_89
| ~ spl144_99
| spl144_133
| ~ spl144_157
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f5678,f1640]) ).
fof(f1640,plain,
( e22 = op2(e22,e23)
| ~ spl144_99 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1638,plain,
( spl144_99
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_99])]) ).
fof(f5678,plain,
( e22 != op2(e22,e23)
| ~ spl144_89
| spl144_133
| ~ spl144_157
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5677,f1591]) ).
fof(f5677,plain,
( op2(e22,e23) != h1(e12)
| ~ spl144_89
| spl144_133
| ~ spl144_157
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5676,f1913]) ).
fof(f1913,plain,
( e12 = op1(e12,e13)
| ~ spl144_157 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f1911,plain,
( spl144_157
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_157])]) ).
fof(f5676,plain,
( op2(e22,e23) != h1(op1(e12,e13))
| ~ spl144_89
| spl144_133
| ~ spl144_347 ),
inference(forward_demodulation,[],[f5675,f1591]) ).
fof(f5675,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e23)
| spl144_133
| ~ spl144_347 ),
inference(forward_demodulation,[],[f1804,f2891]) ).
fof(f1804,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl144_133 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f1802,plain,
( spl144_133
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_133])]) ).
fof(f5659,plain,
( ~ spl144_20
| ~ spl144_67
| ~ spl144_89
| spl144_129
| ~ spl144_134 ),
inference(avatar_contradiction_clause,[],[f5658]) ).
fof(f5658,plain,
( $false
| ~ spl144_20
| ~ spl144_67
| ~ spl144_89
| spl144_129
| ~ spl144_134 ),
inference(subsumption_resolution,[],[f5657,f1279]) ).
fof(f1279,plain,
( e22 = op2(e21,e21)
| ~ spl144_20 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl144_20
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_20])]) ).
fof(f5657,plain,
( e22 != op2(e21,e21)
| ~ spl144_67
| ~ spl144_89
| spl144_129
| ~ spl144_134 ),
inference(forward_demodulation,[],[f5656,f1591]) ).
fof(f5656,plain,
( op2(e21,e21) != h1(e12)
| ~ spl144_67
| spl144_129
| ~ spl144_134 ),
inference(forward_demodulation,[],[f5655,f1490]) ).
fof(f1490,plain,
( e12 = op1(e11,e11)
| ~ spl144_67 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f1489,plain,
( spl144_67
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_67])]) ).
fof(f5655,plain,
( op2(e21,e21) != h1(op1(e11,e11))
| spl144_129
| ~ spl144_134 ),
inference(forward_demodulation,[],[f1788,f1807]) ).
fof(f1788,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl144_129 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1786,plain,
( spl144_129
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_129])]) ).
fof(f5643,plain,
( ~ spl144_42
| spl144_128
| ~ spl144_134
| ~ spl144_172
| ~ spl144_364 ),
inference(avatar_contradiction_clause,[],[f5642]) ).
fof(f5642,plain,
( $false
| ~ spl144_42
| spl144_128
| ~ spl144_134
| ~ spl144_172
| ~ spl144_364 ),
inference(subsumption_resolution,[],[f5641,f1378]) ).
fof(f1378,plain,
( e21 = op2(e20,e21)
| ~ spl144_42 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1376,plain,
( spl144_42
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_42])]) ).
fof(f5641,plain,
( e21 != op2(e20,e21)
| spl144_128
| ~ spl144_134
| ~ spl144_172
| ~ spl144_364 ),
inference(forward_demodulation,[],[f5640,f1807]) ).
fof(f5640,plain,
( op2(e20,e21) != h1(e11)
| spl144_128
| ~ spl144_134
| ~ spl144_172
| ~ spl144_364 ),
inference(forward_demodulation,[],[f5639,f3004]) ).
fof(f3004,plain,
( e11 = op1(e10,e11)
| ~ spl144_364 ),
inference(avatar_component_clause,[],[f3002]) ).
fof(f3002,plain,
( spl144_364
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_364])]) ).
fof(f5639,plain,
( op2(e20,e21) != h1(op1(e10,e11))
| spl144_128
| ~ spl144_134
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5638,f1989]) ).
fof(f5638,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| spl144_128
| ~ spl144_134 ),
inference(forward_demodulation,[],[f1784,f1807]) ).
fof(f1784,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl144_128 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f1782,plain,
( spl144_128
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_128])]) ).
fof(f5597,plain,
( ~ spl144_73
| ~ spl144_89
| spl144_143
| ~ spl144_172
| ~ spl144_369 ),
inference(avatar_contradiction_clause,[],[f5596]) ).
fof(f5596,plain,
( $false
| ~ spl144_73
| ~ spl144_89
| spl144_143
| ~ spl144_172
| ~ spl144_369 ),
inference(subsumption_resolution,[],[f5380,f1519]) ).
fof(f1519,plain,
( e20 = op2(e22,e20)
| ~ spl144_73 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1517,plain,
( spl144_73
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_73])]) ).
fof(f5380,plain,
( e20 != op2(e22,e20)
| ~ spl144_89
| spl144_143
| ~ spl144_172
| ~ spl144_369 ),
inference(forward_demodulation,[],[f5379,f1989]) ).
fof(f5379,plain,
( op2(e22,e20) != h1(e10)
| ~ spl144_89
| spl144_143
| ~ spl144_172
| ~ spl144_369 ),
inference(forward_demodulation,[],[f5378,f3043]) ).
fof(f3043,plain,
( e10 = op1(e12,e10)
| ~ spl144_369 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f3041,plain,
( spl144_369
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_369])]) ).
fof(f5378,plain,
( op2(e22,e20) != h1(op1(e12,e10))
| ~ spl144_89
| spl144_143
| ~ spl144_172 ),
inference(forward_demodulation,[],[f5377,f1591]) ).
fof(f5377,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| spl144_143
| ~ spl144_172 ),
inference(forward_demodulation,[],[f1844,f1989]) ).
fof(f1844,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl144_143 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1842,plain,
( spl144_143
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_143])]) ).
fof(f5577,plain,
( ~ spl144_82
| ~ spl144_189 ),
inference(avatar_split_clause,[],[f5573,f2075,f1557]) ).
fof(f1557,plain,
( spl144_82
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_82])]) ).
fof(f5573,plain,
( e20 != op2(e20,e21)
| ~ spl144_189 ),
inference(backward_demodulation,[],[f1025,f2077]) ).
fof(f1025,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5568,plain,
( ~ spl144_20
| ~ spl144_414 ),
inference(avatar_contradiction_clause,[],[f5567]) ).
fof(f5567,plain,
( $false
| ~ spl144_20
| ~ spl144_414 ),
inference(subsumption_resolution,[],[f5566,f665]) ).
fof(f665,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5566,plain,
( e22 = e23
| ~ spl144_20
| ~ spl144_414 ),
inference(backward_demodulation,[],[f3540,f1279]) ).
fof(f3540,plain,
( e23 = op2(e21,e21)
| ~ spl144_414 ),
inference(avatar_component_clause,[],[f3538]) ).
fof(f3538,plain,
( spl144_414
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_414])]) ).
fof(f5544,plain,
( ~ spl144_365
| ~ spl144_124 ),
inference(avatar_split_clause,[],[f5543,f1764,f3006]) ).
fof(f3006,plain,
( spl144_365
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_365])]) ).
fof(f5543,plain,
( e11 != op1(e12,e11)
| ~ spl144_124 ),
inference(forward_demodulation,[],[f326,f1766]) ).
fof(f326,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e11,e13) != op1(e12,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e12,e10) != op1(e13,e10)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e10) != op1(e12,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e10,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f5533,plain,
( ~ spl144_82
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f5532,f1420,f1557]) ).
fof(f5532,plain,
( e20 != op2(e20,e21)
| ~ spl144_52 ),
inference(forward_demodulation,[],[f1023,f1422]) ).
fof(f1023,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5516,plain,
( ~ spl144_151
| ~ spl144_279 ),
inference(avatar_split_clause,[],[f5515,f2485,f1879]) ).
fof(f1879,plain,
( spl144_151
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_151])]) ).
fof(f5515,plain,
( e23 != op2(e22,e23)
| ~ spl144_279 ),
inference(forward_demodulation,[],[f1008,f2487]) ).
fof(f1008,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5498,plain,
( ~ spl144_241
| ~ spl144_103 ),
inference(avatar_split_clause,[],[f5497,f1659,f2321]) ).
fof(f2321,plain,
( spl144_241
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_241])]) ).
fof(f1659,plain,
( spl144_103
<=> e22 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_103])]) ).
fof(f5497,plain,
( e22 != op2(e20,e21)
| ~ spl144_103 ),
inference(forward_demodulation,[],[f2786,f1660]) ).
fof(f1660,plain,
( e22 = h2(e13)
| ~ spl144_103 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f2786,plain,
op2(e20,e21) != h2(e13),
inference(forward_demodulation,[],[f999,f1049]) ).
fof(f999,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5489,plain,
( ~ spl144_303
| spl144_325
| ~ spl144_431 ),
inference(avatar_contradiction_clause,[],[f5488]) ).
fof(f5488,plain,
( $false
| ~ spl144_303
| spl144_325
| ~ spl144_431 ),
inference(subsumption_resolution,[],[f5487,f2729]) ).
fof(f2729,plain,
( e20 != op2(e23,e22)
| spl144_325 ),
inference(avatar_component_clause,[],[f2728]) ).
fof(f2728,plain,
( spl144_325
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_325])]) ).
fof(f5487,plain,
( e20 = op2(e23,e22)
| ~ spl144_303
| ~ spl144_431 ),
inference(forward_demodulation,[],[f3822,f2598]) ).
fof(f3822,plain,
( e20 = op2(e23,op2(e23,e20))
| ~ spl144_431 ),
inference(avatar_component_clause,[],[f3820]) ).
fof(f3820,plain,
( spl144_431
<=> e20 = op2(e23,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_431])]) ).
fof(f5486,plain,
( ~ spl144_151
| ~ spl144_403 ),
inference(avatar_split_clause,[],[f5485,f3394,f1879]) ).
fof(f3394,plain,
( spl144_403
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_403])]) ).
fof(f5485,plain,
( e23 != op2(e22,e23)
| ~ spl144_403 ),
inference(forward_demodulation,[],[f1039,f3396]) ).
fof(f3396,plain,
( e23 = op2(e22,e21)
| ~ spl144_403 ),
inference(avatar_component_clause,[],[f3394]) ).
fof(f1039,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5474,plain,
( ~ spl144_91
| ~ spl144_315 ),
inference(avatar_contradiction_clause,[],[f5473]) ).
fof(f5473,plain,
( $false
| ~ spl144_91
| ~ spl144_315 ),
inference(subsumption_resolution,[],[f5472,f658]) ).
fof(f658,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e10 != e13
& e11 != e13
& e11 != e12
& e10 != e11
& e10 != e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f5472,plain,
( e11 = e12
| ~ spl144_91
| ~ spl144_315 ),
inference(backward_demodulation,[],[f2663,f1602]) ).
fof(f1602,plain,
( e11 = op1(e13,e10)
| ~ spl144_91 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f1600,plain,
( spl144_91
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_91])]) ).
fof(f5471,plain,
( ~ spl144_117
| ~ spl144_157 ),
inference(avatar_split_clause,[],[f5462,f1911,f1731]) ).
fof(f1731,plain,
( spl144_117
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_117])]) ).
fof(f5462,plain,
( e12 != op1(e12,e11)
| ~ spl144_157 ),
inference(forward_demodulation,[],[f346,f1913]) ).
fof(f346,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5465,plain,
( ~ spl144_14
| ~ spl144_341 ),
inference(avatar_split_clause,[],[f5464,f2837,f1250]) ).
fof(f1250,plain,
( spl144_14
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_14])]) ).
fof(f5464,plain,
( e10 != op1(e10,e11)
| ~ spl144_341 ),
inference(forward_demodulation,[],[f337,f2839]) ).
fof(f337,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5460,plain,
( ~ spl144_29
| spl144_358
| ~ spl144_414 ),
inference(avatar_contradiction_clause,[],[f5459]) ).
fof(f5459,plain,
( $false
| ~ spl144_29
| spl144_358
| ~ spl144_414 ),
inference(subsumption_resolution,[],[f5458,f2945]) ).
fof(f2945,plain,
( e23 != h2(e12)
| spl144_358 ),
inference(avatar_component_clause,[],[f2943]) ).
fof(f5458,plain,
( e23 = h2(e12)
| ~ spl144_29
| ~ spl144_414 ),
inference(backward_demodulation,[],[f5427,f3540]) ).
fof(f5427,plain,
( op2(e21,e21) = h2(e12)
| ~ spl144_29 ),
inference(forward_demodulation,[],[f3750,f1319]) ).
fof(f1319,plain,
( e21 = h2(e13)
| ~ spl144_29 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl144_29
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_29])]) ).
fof(f5457,plain,
( ~ spl144_303
| ~ spl144_304 ),
inference(avatar_contradiction_clause,[],[f5456]) ).
fof(f5456,plain,
( $false
| ~ spl144_303
| ~ spl144_304 ),
inference(subsumption_resolution,[],[f5455,f2602]) ).
fof(f2602,plain,
( e22 = op2(e21,e20)
| ~ spl144_304 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f2600,plain,
( spl144_304
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_304])]) ).
fof(f5455,plain,
( e22 != op2(e21,e20)
| ~ spl144_303 ),
inference(forward_demodulation,[],[f1011,f2598]) ).
fof(f1011,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5452,plain,
( spl144_91
| ~ spl144_341
| ~ spl144_433 ),
inference(avatar_split_clause,[],[f5450,f3850,f2837,f1600]) ).
fof(f3850,plain,
( spl144_433
<=> e11 = op1(e13,op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_433])]) ).
fof(f5450,plain,
( e11 = op1(e13,e10)
| ~ spl144_341
| ~ spl144_433 ),
inference(backward_demodulation,[],[f3852,f2839]) ).
fof(f3852,plain,
( e11 = op1(e13,op1(e13,e11))
| ~ spl144_433 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f5447,plain,
( ~ spl144_154
| ~ spl144_325 ),
inference(avatar_contradiction_clause,[],[f5446]) ).
fof(f5446,plain,
( $false
| ~ spl144_154
| ~ spl144_325 ),
inference(subsumption_resolution,[],[f5445,f664]) ).
fof(f5445,plain,
( e20 = e23
| ~ spl144_154
| ~ spl144_325 ),
inference(forward_demodulation,[],[f1897,f2730]) ).
fof(f2730,plain,
( e20 = op2(e23,e22)
| ~ spl144_325 ),
inference(avatar_component_clause,[],[f2728]) ).
fof(f5444,plain,
( ~ spl144_25
| ~ spl144_157 ),
inference(avatar_contradiction_clause,[],[f5443]) ).
fof(f5443,plain,
( $false
| ~ spl144_25
| ~ spl144_157 ),
inference(subsumption_resolution,[],[f5442,f1302]) ).
fof(f1302,plain,
( e12 = op1(e12,e12)
| ~ spl144_25 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1300,plain,
( spl144_25
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_25])]) ).
fof(f5442,plain,
( e12 != op1(e12,e12)
| ~ spl144_157 ),
inference(forward_demodulation,[],[f360,f1913]) ).
fof(f360,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5441,plain,
( ~ spl144_14
| ~ spl144_12 ),
inference(avatar_split_clause,[],[f5440,f1242,f1250]) ).
fof(f5440,plain,
( e10 != op1(e10,e11)
| ~ spl144_12 ),
inference(forward_demodulation,[],[f352,f1244]) ).
fof(f352,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5435,plain,
( ~ spl144_74
| spl144_387 ),
inference(avatar_contradiction_clause,[],[f5434]) ).
fof(f5434,plain,
( $false
| ~ spl144_74
| spl144_387 ),
inference(subsumption_resolution,[],[f5433,f1524]) ).
fof(f1524,plain,
( e22 = op2(e22,e22)
| ~ spl144_74 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1522,plain,
( spl144_74
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_74])]) ).
fof(f5433,plain,
( e22 != op2(e22,e22)
| ~ spl144_74
| spl144_387 ),
inference(forward_demodulation,[],[f3203,f1524]) ).
fof(f3203,plain,
( e22 != op2(e22,op2(e22,e22))
| spl144_387 ),
inference(avatar_component_clause,[],[f3202]) ).
fof(f3202,plain,
( spl144_387
<=> e22 = op2(e22,op2(e22,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_387])]) ).
fof(f5425,plain,
( spl144_79
| ~ spl144_394
| ~ spl144_422 ),
inference(avatar_contradiction_clause,[],[f5424]) ).
fof(f5424,plain,
( $false
| spl144_79
| ~ spl144_394
| ~ spl144_422 ),
inference(subsumption_resolution,[],[f5423,f1544]) ).
fof(f1544,plain,
( e21 != op2(e22,e22)
| spl144_79 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f5423,plain,
( e21 = op2(e22,e22)
| ~ spl144_394
| ~ spl144_422 ),
inference(forward_demodulation,[],[f5134,f3293]) ).
fof(f3293,plain,
( e22 = h3(e13)
| ~ spl144_394 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f3292,plain,
( spl144_394
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_394])]) ).
fof(f5134,plain,
( e21 = op2(h3(e13),h3(e13))
| ~ spl144_422 ),
inference(backward_demodulation,[],[f3588,f3700]) ).
fof(f3700,plain,
( e21 = h3(e11)
| ~ spl144_422 ),
inference(avatar_component_clause,[],[f3699]) ).
fof(f3699,plain,
( spl144_422
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_422])]) ).
fof(f3588,plain,
h3(e11) = op2(h3(e13),h3(e13)),
inference(backward_demodulation,[],[f313,f312]) ).
fof(f313,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f16]) ).
fof(f5400,plain,
( ~ spl144_29
| ~ spl144_103 ),
inference(avatar_contradiction_clause,[],[f5399]) ).
fof(f5399,plain,
( $false
| ~ spl144_29
| ~ spl144_103 ),
inference(subsumption_resolution,[],[f5398,f662]) ).
fof(f662,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f5398,plain,
( e21 = e22
| ~ spl144_29
| ~ spl144_103 ),
inference(backward_demodulation,[],[f1660,f1319]) ).
fof(f5376,plain,
( ~ spl144_214
| ~ spl144_394 ),
inference(avatar_split_clause,[],[f5375,f3292,f2206]) ).
fof(f2206,plain,
( spl144_214
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_214])]) ).
fof(f5375,plain,
( e22 != op2(e22,e21)
| ~ spl144_394 ),
inference(forward_demodulation,[],[f3592,f3293]) ).
fof(f3592,plain,
op2(e22,e21) != h3(e13),
inference(backward_demodulation,[],[f1024,f312]) ).
fof(f1024,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5358,plain,
( spl144_164
| ~ spl144_199
| ~ spl144_419 ),
inference(avatar_split_clause,[],[f5357,f3643,f2127,f1948]) ).
fof(f1948,plain,
( spl144_164
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_164])]) ).
fof(f3643,plain,
( spl144_419
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_419])]) ).
fof(f5357,plain,
( e13 = op1(e13,e11)
| ~ spl144_199
| ~ spl144_419 ),
inference(forward_demodulation,[],[f3645,f2128]) ).
fof(f3645,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ spl144_419 ),
inference(avatar_component_clause,[],[f3643]) ).
fof(f5356,plain,
( ~ spl144_164
| ~ spl144_33 ),
inference(avatar_split_clause,[],[f4631,f1336,f1948]) ).
fof(f4631,plain,
( e13 != op1(e13,e11)
| ~ spl144_33 ),
inference(forward_demodulation,[],[f331,f1337]) ).
fof(f331,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5350,plain,
( ~ spl144_214
| ~ spl144_103 ),
inference(avatar_split_clause,[],[f5349,f1659,f2206]) ).
fof(f5349,plain,
( e22 != op2(e22,e21)
| ~ spl144_103 ),
inference(forward_demodulation,[],[f1493,f1660]) ).
fof(f1493,plain,
op2(e22,e21) != h2(e13),
inference(forward_demodulation,[],[f1016,f1049]) ).
fof(f1016,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5346,plain,
( spl144_20
| ~ spl144_103 ),
inference(avatar_contradiction_clause,[],[f5345]) ).
fof(f5345,plain,
( $false
| spl144_20
| ~ spl144_103 ),
inference(subsumption_resolution,[],[f5344,f1278]) ).
fof(f1278,plain,
( e22 != op2(e21,e21)
| spl144_20 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f5344,plain,
( e22 = op2(e21,e21)
| ~ spl144_103 ),
inference(forward_demodulation,[],[f1049,f1660]) ).
fof(f5339,plain,
( ~ spl144_364
| ~ spl144_123 ),
inference(avatar_split_clause,[],[f5338,f1760,f3002]) ).
fof(f1760,plain,
( spl144_123
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_123])]) ).
fof(f5338,plain,
( e11 != op1(e10,e11)
| ~ spl144_123 ),
inference(forward_demodulation,[],[f357,f1762]) ).
fof(f1762,plain,
( e11 = op1(e10,e12)
| ~ spl144_123 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f357,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5331,plain,
( ~ spl144_51
| ~ spl144_107 ),
inference(avatar_contradiction_clause,[],[f5330]) ).
fof(f5330,plain,
( $false
| ~ spl144_51
| ~ spl144_107 ),
inference(subsumption_resolution,[],[f5328,f664]) ).
fof(f5328,plain,
( e20 = e23
| ~ spl144_51
| ~ spl144_107 ),
inference(backward_demodulation,[],[f1417,f1680]) ).
fof(f1680,plain,
( e20 = op2(e20,e20)
| ~ spl144_107 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f1679,plain,
( spl144_107
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_107])]) ).
fof(f5320,plain,
( ~ spl144_10
| ~ spl144_365
| spl144_383 ),
inference(avatar_contradiction_clause,[],[f5319]) ).
fof(f5319,plain,
( $false
| ~ spl144_10
| ~ spl144_365
| spl144_383 ),
inference(subsumption_resolution,[],[f5318,f3155]) ).
fof(f3155,plain,
( e11 != e13
| spl144_383 ),
inference(avatar_component_clause,[],[f3154]) ).
fof(f3154,plain,
( spl144_383
<=> e11 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_383])]) ).
fof(f5318,plain,
( e11 = e13
| ~ spl144_10
| ~ spl144_365 ),
inference(forward_demodulation,[],[f1235,f3008]) ).
fof(f3008,plain,
( e11 = op1(e12,e11)
| ~ spl144_365 ),
inference(avatar_component_clause,[],[f3006]) ).
fof(f1235,plain,
( e13 = op1(e12,e11)
| ~ spl144_10 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1233,plain,
( spl144_10
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_10])]) ).
fof(f5317,plain,
( ~ spl144_67
| ~ spl144_321 ),
inference(avatar_contradiction_clause,[],[f5316]) ).
fof(f5316,plain,
( $false
| ~ spl144_67
| ~ spl144_321 ),
inference(subsumption_resolution,[],[f5315,f2707]) ).
fof(f2707,plain,
( e12 = op1(e10,e11)
| ~ spl144_321 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2705,plain,
( spl144_321
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_321])]) ).
fof(f5315,plain,
( e12 != op1(e10,e11)
| ~ spl144_67 ),
inference(forward_demodulation,[],[f329,f1490]) ).
fof(f329,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5310,plain,
( ~ spl144_421
| ~ spl144_43 ),
inference(avatar_split_clause,[],[f5309,f1380,f3663]) ).
fof(f1380,plain,
( spl144_43
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_43])]) ).
fof(f5309,plain,
( e21 != h3(e13)
| ~ spl144_43 ),
inference(forward_demodulation,[],[f3591,f1382]) ).
fof(f1382,plain,
( e21 = op2(e20,e22)
| ~ spl144_43 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f3591,plain,
op2(e20,e22) != h3(e13),
inference(backward_demodulation,[],[f1014,f312]) ).
fof(f1014,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5308,plain,
( ~ spl144_408
| ~ spl144_360 ),
inference(avatar_split_clause,[],[f5307,f2960,f3465]) ).
fof(f3465,plain,
( spl144_408
<=> e20 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_408])]) ).
fof(f5307,plain,
( e20 != h3(e13)
| ~ spl144_360 ),
inference(forward_demodulation,[],[f3593,f2962]) ).
fof(f5293,plain,
( ~ spl144_325
| ~ spl144_408 ),
inference(avatar_contradiction_clause,[],[f5292]) ).
fof(f5292,plain,
( $false
| ~ spl144_325
| ~ spl144_408 ),
inference(subsumption_resolution,[],[f5291,f2730]) ).
fof(f5291,plain,
( e20 != op2(e23,e22)
| ~ spl144_408 ),
inference(forward_demodulation,[],[f3841,f3466]) ).
fof(f3466,plain,
( e20 = h3(e13)
| ~ spl144_408 ),
inference(avatar_component_clause,[],[f3465]) ).
fof(f3841,plain,
op2(e23,e22) != h3(e13),
inference(forward_demodulation,[],[f1010,f312]) ).
fof(f1010,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5276,plain,
( ~ spl144_408
| ~ spl144_417 ),
inference(avatar_contradiction_clause,[],[f5275]) ).
fof(f5275,plain,
( $false
| ~ spl144_408
| ~ spl144_417 ),
inference(subsumption_resolution,[],[f5273,f664]) ).
fof(f5273,plain,
( e20 = e23
| ~ spl144_408
| ~ spl144_417 ),
inference(backward_demodulation,[],[f3601,f3466]) ).
fof(f3601,plain,
( e23 = h3(e13)
| ~ spl144_417 ),
inference(avatar_component_clause,[],[f3600]) ).
fof(f3600,plain,
( spl144_417
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_417])]) ).
fof(f5266,plain,
( ~ spl144_408
| ~ spl144_71 ),
inference(avatar_split_clause,[],[f4960,f1509,f3465]) ).
fof(f1509,plain,
( spl144_71
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_71])]) ).
fof(f4960,plain,
( e20 != h3(e13)
| ~ spl144_71 ),
inference(forward_demodulation,[],[f3590,f1511]) ).
fof(f1511,plain,
( e20 = op2(e22,e23)
| ~ spl144_71 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f3590,plain,
op2(e22,e23) != h3(e13),
inference(backward_demodulation,[],[f998,f312]) ).
fof(f998,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5265,plain,
( ~ spl144_67
| ~ spl144_94 ),
inference(avatar_contradiction_clause,[],[f5264]) ).
fof(f5264,plain,
( $false
| ~ spl144_67
| ~ spl144_94 ),
inference(subsumption_resolution,[],[f5263,f661]) ).
fof(f661,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f5263,plain,
( e12 = e13
| ~ spl144_67
| ~ spl144_94 ),
inference(backward_demodulation,[],[f1615,f1490]) ).
fof(f1615,plain,
( e13 = op1(e11,e11)
| ~ spl144_94 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1614,plain,
( spl144_94
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_94])]) ).
fof(f5223,plain,
( ~ spl144_199
| ~ spl144_366 ),
inference(avatar_contradiction_clause,[],[f5222]) ).
fof(f5222,plain,
( $false
| ~ spl144_199
| ~ spl144_366 ),
inference(subsumption_resolution,[],[f4747,f3012]) ).
fof(f3012,plain,
( e11 = op1(e13,e11)
| ~ spl144_366 ),
inference(avatar_component_clause,[],[f3010]) ).
fof(f3010,plain,
( spl144_366
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_366])]) ).
fof(f4747,plain,
( e11 != op1(e13,e11)
| ~ spl144_199 ),
inference(forward_demodulation,[],[f333,f2128]) ).
fof(f333,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5219,plain,
( ~ spl144_123
| ~ spl144_66 ),
inference(avatar_split_clause,[],[f5217,f1485,f1760]) ).
fof(f1485,plain,
( spl144_66
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_66])]) ).
fof(f5217,plain,
( e11 != op1(e10,e12)
| ~ spl144_66 ),
inference(backward_demodulation,[],[f328,f1487]) ).
fof(f1487,plain,
( e11 = op1(e11,e12)
| ~ spl144_66 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f328,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5212,plain,
( ~ spl144_38
| ~ spl144_307 ),
inference(avatar_contradiction_clause,[],[f5211]) ).
fof(f5211,plain,
( $false
| ~ spl144_38
| ~ spl144_307 ),
inference(subsumption_resolution,[],[f5209,f664]) ).
fof(f5209,plain,
( e20 = e23
| ~ spl144_38
| ~ spl144_307 ),
inference(backward_demodulation,[],[f2617,f1359]) ).
fof(f2617,plain,
( e23 = op2(e22,e22)
| ~ spl144_307 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f2615,plain,
( spl144_307
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_307])]) ).
fof(f5174,plain,
( ~ spl144_29
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f5173,f1724,f1318]) ).
fof(f5173,plain,
( e21 != h2(e13)
| ~ spl144_116 ),
inference(forward_demodulation,[],[f1494,f1725]) ).
fof(f1494,plain,
op2(e21,e20) != h2(e13),
inference(forward_demodulation,[],[f1009,f1049]) ).
fof(f1009,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5139,plain,
( ~ spl144_33
| ~ spl144_342 ),
inference(avatar_contradiction_clause,[],[f5138]) ).
fof(f5138,plain,
( $false
| ~ spl144_33
| ~ spl144_342 ),
inference(subsumption_resolution,[],[f5135,f660]) ).
fof(f660,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f5135,plain,
( e10 = e13
| ~ spl144_33
| ~ spl144_342 ),
inference(backward_demodulation,[],[f1337,f2843]) ).
fof(f2843,plain,
( e10 = op1(e13,e12)
| ~ spl144_342 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f2841,plain,
( spl144_342
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_342])]) ).
fof(f5124,plain,
( ~ spl144_45
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4901,f2890,f1389]) ).
fof(f1389,plain,
( spl144_45
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_45])]) ).
fof(f4901,plain,
( e23 != op2(e23,e20)
| ~ spl144_347 ),
inference(forward_demodulation,[],[f3569,f2891]) ).
fof(f3569,plain,
op2(e23,e20) != h1(e13),
inference(forward_demodulation,[],[f1001,f994]) ).
fof(f994,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e12)
& e20 = h1(e10)
& op2(op2(e20,e20),op2(e20,e20)) = h1(e11)
& op2(e20,e20) = h1(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f1001,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5112,plain,
( spl144_303
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4246,f2890,f2596]) ).
fof(f4246,plain,
( e22 = op2(e23,e20)
| ~ spl144_347 ),
inference(backward_demodulation,[],[f3277,f2891]) ).
fof(f3277,plain,
e22 = op2(h1(e13),e20),
inference(backward_demodulation,[],[f669,f994]) ).
fof(f669,plain,
e22 = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(op2(e20,e20),op2(e20,e20))
& e22 = op2(op2(e20,e20),e20)
& op2(e20,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f5109,plain,
( ~ spl144_330
| ~ spl144_385 ),
inference(avatar_split_clause,[],[f5108,f3176,f2755]) ).
fof(f3176,plain,
( spl144_385
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_385])]) ).
fof(f5108,plain,
( e22 != op2(e21,e23)
| ~ spl144_385 ),
inference(forward_demodulation,[],[f1037,f3178]) ).
fof(f3178,plain,
( e22 = op2(e20,e23)
| ~ spl144_385 ),
inference(avatar_component_clause,[],[f3176]) ).
fof(f1037,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5106,plain,
( ~ spl144_73
| ~ spl144_71 ),
inference(avatar_split_clause,[],[f5105,f1509,f1517]) ).
fof(f5105,plain,
( e20 != op2(e22,e20)
| ~ spl144_71 ),
inference(forward_demodulation,[],[f1004,f1511]) ).
fof(f1004,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5104,plain,
( ~ spl144_66
| ~ spl144_60 ),
inference(avatar_split_clause,[],[f5103,f1459,f1485]) ).
fof(f5103,plain,
( e11 != op1(e11,e12)
| ~ spl144_60 ),
inference(forward_demodulation,[],[f336,f1460]) ).
fof(f336,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5096,plain,
( ~ spl144_28
| ~ spl144_331 ),
inference(avatar_split_clause,[],[f5095,f2763,f1312]) ).
fof(f2763,plain,
( spl144_331
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_331])]) ).
fof(f5095,plain,
( e12 != op1(e10,e12)
| ~ spl144_331 ),
inference(forward_demodulation,[],[f316,f2765]) ).
fof(f2765,plain,
( e12 = op1(e10,e13)
| ~ spl144_331 ),
inference(avatar_component_clause,[],[f2763]) ).
fof(f316,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5093,plain,
( spl144_18
| ~ spl144_116
| ~ spl144_424 ),
inference(avatar_split_clause,[],[f5011,f3738,f1724,f1268]) ).
fof(f1268,plain,
( spl144_18
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_18])]) ).
fof(f3738,plain,
( spl144_424
<=> e20 = op2(e21,op2(e21,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_424])]) ).
fof(f5011,plain,
( e20 = op2(e21,e21)
| ~ spl144_116
| ~ spl144_424 ),
inference(forward_demodulation,[],[f3740,f1725]) ).
fof(f3740,plain,
( e20 = op2(e21,op2(e21,e20))
| ~ spl144_424 ),
inference(avatar_component_clause,[],[f3738]) ).
fof(f5036,plain,
( ~ spl144_367
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f4725,f3436,f3017]) ).
fof(f3017,plain,
( spl144_367
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_367])]) ).
fof(f3436,plain,
( spl144_406
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_406])]) ).
fof(f4725,plain,
( e21 != op2(e23,e22)
| ~ spl144_406 ),
inference(forward_demodulation,[],[f3325,f3438]) ).
fof(f3438,plain,
( e21 = h4(e13)
| ~ spl144_406 ),
inference(avatar_component_clause,[],[f3436]) ).
fof(f3325,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[],[f1019,f655]) ).
fof(f655,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e13)
& e23 = h4(e10)
& h4(e12) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f1019,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5004,plain,
( ~ spl144_307
| spl144_417 ),
inference(avatar_contradiction_clause,[],[f5003]) ).
fof(f5003,plain,
( $false
| ~ spl144_307
| spl144_417 ),
inference(subsumption_resolution,[],[f5002,f3602]) ).
fof(f3602,plain,
( e23 != h3(e13)
| spl144_417 ),
inference(avatar_component_clause,[],[f3600]) ).
fof(f5002,plain,
( e23 = h3(e13)
| ~ spl144_307 ),
inference(forward_demodulation,[],[f312,f2617]) ).
fof(f4995,plain,
( ~ spl144_12
| ~ spl144_11 ),
inference(avatar_split_clause,[],[f4994,f1238,f1242]) ).
fof(f1238,plain,
( spl144_11
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_11])]) ).
fof(f4994,plain,
( e10 != op1(e10,e13)
| ~ spl144_11 ),
inference(backward_demodulation,[],[f316,f1240]) ).
fof(f1240,plain,
( e10 = op1(e10,e12)
| ~ spl144_11 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f4976,plain,
( ~ spl144_55
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4349,f2890,f1435]) ).
fof(f1435,plain,
( spl144_55
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_55])]) ).
fof(f4349,plain,
( e23 != op2(e21,e20)
| ~ spl144_347 ),
inference(forward_demodulation,[],[f3647,f2891]) ).
fof(f3647,plain,
op2(e21,e20) != h1(e13),
inference(forward_demodulation,[],[f1017,f994]) ).
fof(f1017,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4973,plain,
( ~ spl144_325
| ~ spl144_46 ),
inference(avatar_split_clause,[],[f4972,f1394,f2728]) ).
fof(f1394,plain,
( spl144_46
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_46])]) ).
fof(f4972,plain,
( e20 != op2(e23,e22)
| ~ spl144_46 ),
inference(forward_demodulation,[],[f1043,f1396]) ).
fof(f1396,plain,
( e20 = op2(e20,e22)
| ~ spl144_46 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1043,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4968,plain,
( ~ spl144_406
| ~ spl144_407 ),
inference(avatar_contradiction_clause,[],[f4967]) ).
fof(f4967,plain,
( $false
| ~ spl144_406
| ~ spl144_407 ),
inference(subsumption_resolution,[],[f4966,f666]) ).
fof(f666,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4966,plain,
( e21 = e23
| ~ spl144_406
| ~ spl144_407 ),
inference(forward_demodulation,[],[f3451,f3438]) ).
fof(f3451,plain,
( e23 = h4(e13)
| ~ spl144_407 ),
inference(avatar_component_clause,[],[f3450]) ).
fof(f3450,plain,
( spl144_407
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_407])]) ).
fof(f4958,plain,
( ~ spl144_71
| ~ spl144_194
| ~ spl144_403 ),
inference(avatar_contradiction_clause,[],[f4957]) ).
fof(f4957,plain,
( $false
| ~ spl144_71
| ~ spl144_194
| ~ spl144_403 ),
inference(subsumption_resolution,[],[f4956,f667]) ).
fof(f4956,plain,
( e20 = e21
| ~ spl144_71
| ~ spl144_194
| ~ spl144_403 ),
inference(forward_demodulation,[],[f4844,f1511]) ).
fof(f4844,plain,
( e21 = op2(e22,e23)
| ~ spl144_194
| ~ spl144_403 ),
inference(backward_demodulation,[],[f2103,f3396]) ).
fof(f2103,plain,
( e21 = op2(e22,op2(e22,e21))
| ~ spl144_194 ),
inference(avatar_component_clause,[],[f2101]) ).
fof(f2101,plain,
( spl144_194
<=> e21 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_194])]) ).
fof(f4953,plain,
( ~ spl144_312
| ~ spl144_319 ),
inference(avatar_contradiction_clause,[],[f4952]) ).
fof(f4952,plain,
( $false
| ~ spl144_312
| ~ spl144_319 ),
inference(subsumption_resolution,[],[f4951,f667]) ).
fof(f4951,plain,
( e20 = e21
| ~ spl144_312
| ~ spl144_319 ),
inference(backward_demodulation,[],[f2696,f2646]) ).
fof(f2646,plain,
( e20 = op2(e23,e23)
| ~ spl144_312 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f2644,plain,
( spl144_312
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_312])]) ).
fof(f4950,plain,
( ~ spl144_40
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f4849,f3436,f1368]) ).
fof(f1368,plain,
( spl144_40
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_40])]) ).
fof(f4849,plain,
( e21 != op2(e20,e23)
| ~ spl144_406 ),
inference(forward_demodulation,[],[f3324,f3438]) ).
fof(f3324,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[],[f1038,f655]) ).
fof(f1038,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4949,plain,
( ~ spl144_303
| ~ spl144_305 ),
inference(avatar_split_clause,[],[f4948,f2604,f2596]) ).
fof(f2604,plain,
( spl144_305
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_305])]) ).
fof(f4948,plain,
( e22 != op2(e23,e20)
| ~ spl144_305 ),
inference(forward_demodulation,[],[f1000,f2606]) ).
fof(f2606,plain,
( e22 = op2(e22,e20)
| ~ spl144_305 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f1000,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4947,plain,
( ~ spl144_71
| ~ spl144_150 ),
inference(avatar_contradiction_clause,[],[f4946]) ).
fof(f4946,plain,
( $false
| ~ spl144_71
| ~ spl144_150 ),
inference(subsumption_resolution,[],[f4945,f667]) ).
fof(f4945,plain,
( e20 = e21
| ~ spl144_71
| ~ spl144_150 ),
inference(forward_demodulation,[],[f1877,f1511]) ).
fof(f1877,plain,
( e21 = op2(e22,e23)
| ~ spl144_150 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1875,plain,
( spl144_150
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_150])]) ).
fof(f4940,plain,
( ~ spl144_9
| ~ spl144_157 ),
inference(avatar_contradiction_clause,[],[f4939]) ).
fof(f4939,plain,
( $false
| ~ spl144_9
| ~ spl144_157 ),
inference(subsumption_resolution,[],[f4938,f661]) ).
fof(f4938,plain,
( e12 = e13
| ~ spl144_9
| ~ spl144_157 ),
inference(forward_demodulation,[],[f1231,f1913]) ).
fof(f1231,plain,
( e13 = op1(e12,e13)
| ~ spl144_9 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1229,plain,
( spl144_9
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_9])]) ).
fof(f4932,plain,
( ~ spl144_335
| ~ spl144_95 ),
inference(avatar_split_clause,[],[f4908,f1620,f2799]) ).
fof(f2799,plain,
( spl144_335
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_335])]) ).
fof(f1620,plain,
( spl144_95
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_95])]) ).
fof(f4908,plain,
( e20 != op2(e21,e20)
| ~ spl144_95 ),
inference(forward_demodulation,[],[f1494,f1621]) ).
fof(f1621,plain,
( e20 = h2(e13)
| ~ spl144_95 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f4917,plain,
( ~ spl144_92
| ~ spl144_185
| ~ spl144_190 ),
inference(avatar_contradiction_clause,[],[f4916]) ).
fof(f4916,plain,
( $false
| ~ spl144_92
| ~ spl144_185
| ~ spl144_190 ),
inference(subsumption_resolution,[],[f4915,f658]) ).
fof(f4915,plain,
( e11 = e12
| ~ spl144_92
| ~ spl144_185
| ~ spl144_190 ),
inference(forward_demodulation,[],[f4689,f1606]) ).
fof(f1606,plain,
( e11 = op1(e12,e10)
| ~ spl144_92 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl144_92
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_92])]) ).
fof(f4689,plain,
( e12 = op1(e12,e10)
| ~ spl144_185
| ~ spl144_190 ),
inference(forward_demodulation,[],[f2082,f2059]) ).
fof(f2059,plain,
( e10 = op1(e12,e12)
| ~ spl144_185 ),
inference(avatar_component_clause,[],[f2058]) ).
fof(f2058,plain,
( spl144_185
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_185])]) ).
fof(f2082,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl144_190 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2080,plain,
( spl144_190
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_190])]) ).
fof(f4914,plain,
( ~ spl144_94
| ~ spl144_113
| spl144_383 ),
inference(avatar_contradiction_clause,[],[f4913]) ).
fof(f4913,plain,
( $false
| ~ spl144_94
| ~ spl144_113
| spl144_383 ),
inference(subsumption_resolution,[],[f4911,f3155]) ).
fof(f4911,plain,
( e11 = e13
| ~ spl144_94
| ~ spl144_113 ),
inference(backward_demodulation,[],[f1615,f1708]) ).
fof(f1708,plain,
( e11 = op1(e11,e11)
| ~ spl144_113 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1707,plain,
( spl144_113
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_113])]) ).
fof(f4847,plain,
( spl144_150
| ~ spl144_194
| ~ spl144_403 ),
inference(avatar_contradiction_clause,[],[f4846]) ).
fof(f4846,plain,
( $false
| spl144_150
| ~ spl144_194
| ~ spl144_403 ),
inference(subsumption_resolution,[],[f4844,f1876]) ).
fof(f1876,plain,
( e21 != op2(e22,e23)
| spl144_150 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f4840,plain,
( ~ spl144_279
| ~ spl144_330 ),
inference(avatar_contradiction_clause,[],[f4839]) ).
fof(f4839,plain,
( $false
| ~ spl144_279
| ~ spl144_330 ),
inference(subsumption_resolution,[],[f4838,f665]) ).
fof(f4838,plain,
( e22 = e23
| ~ spl144_279
| ~ spl144_330 ),
inference(backward_demodulation,[],[f2487,f2757]) ).
fof(f4828,plain,
( ~ spl144_379
| ~ spl144_279 ),
inference(avatar_split_clause,[],[f4827,f2485,f3115]) ).
fof(f4827,plain,
( e23 != op2(e21,e22)
| ~ spl144_279 ),
inference(forward_demodulation,[],[f1033,f2487]) ).
fof(f1033,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4821,plain,
( ~ spl144_179
| ~ spl144_199 ),
inference(avatar_split_clause,[],[f4615,f2127,f2028]) ).
fof(f2028,plain,
( spl144_179
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_179])]) ).
fof(f4615,plain,
( e11 != op1(e12,e13)
| ~ spl144_199 ),
inference(forward_demodulation,[],[f343,f2128]) ).
fof(f343,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4820,plain,
( ~ spl144_2
| ~ spl144_94 ),
inference(avatar_split_clause,[],[f4819,f1614,f1199]) ).
fof(f4819,plain,
( e13 != op1(e11,e13)
| ~ spl144_94 ),
inference(forward_demodulation,[],[f358,f1615]) ).
fof(f358,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4812,plain,
( ~ spl144_10
| ~ spl144_94 ),
inference(avatar_contradiction_clause,[],[f4811]) ).
fof(f4811,plain,
( $false
| ~ spl144_10
| ~ spl144_94 ),
inference(subsumption_resolution,[],[f4810,f1615]) ).
fof(f4810,plain,
( e13 != op1(e11,e11)
| ~ spl144_10 ),
inference(forward_demodulation,[],[f319,f1235]) ).
fof(f319,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4808,plain,
( ~ spl144_52
| ~ spl144_385 ),
inference(avatar_contradiction_clause,[],[f4807]) ).
fof(f4807,plain,
( $false
| ~ spl144_52
| ~ spl144_385 ),
inference(subsumption_resolution,[],[f4806,f663]) ).
fof(f4806,plain,
( e20 = e22
| ~ spl144_52
| ~ spl144_385 ),
inference(forward_demodulation,[],[f3178,f1422]) ).
fof(f4803,plain,
( ~ spl144_46
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f4802,f1420,f1394]) ).
fof(f4802,plain,
( e20 != op2(e20,e22)
| ~ spl144_52 ),
inference(forward_demodulation,[],[f1002,f1422]) ).
fof(f1002,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4801,plain,
( ~ spl144_68
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4397,f2890,f1496]) ).
fof(f1496,plain,
( spl144_68
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_68])]) ).
fof(f4397,plain,
( e23 != op2(e20,e22)
| ~ spl144_347 ),
inference(forward_demodulation,[],[f3278,f2891]) ).
fof(f3278,plain,
op2(e20,e22) != h1(e13),
inference(backward_demodulation,[],[f1032,f994]) ).
fof(f1032,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4784,plain,
( ~ spl144_403
| ~ spl144_10
| ~ spl144_89
| spl144_127
| ~ spl144_134
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4783,f2890,f1806,f1778,f1590,f1233,f3394]) ).
fof(f1778,plain,
( spl144_127
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_127])]) ).
fof(f4783,plain,
( e23 != op2(e22,e21)
| ~ spl144_10
| ~ spl144_89
| spl144_127
| ~ spl144_134
| ~ spl144_347 ),
inference(forward_demodulation,[],[f4780,f2891]) ).
fof(f4780,plain,
( op2(e22,e21) != h1(e13)
| ~ spl144_10
| ~ spl144_89
| spl144_127
| ~ spl144_134 ),
inference(backward_demodulation,[],[f4319,f1235]) ).
fof(f4319,plain,
( op2(e22,e21) != h1(op1(e12,e11))
| ~ spl144_89
| spl144_127
| ~ spl144_134 ),
inference(forward_demodulation,[],[f4016,f1807]) ).
fof(f4016,plain,
( h1(op1(e12,e11)) != op2(e22,h1(e11))
| ~ spl144_89
| spl144_127 ),
inference(backward_demodulation,[],[f1780,f1591]) ).
fof(f1780,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl144_127 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f4782,plain,
( spl144_179
| ~ spl144_10
| ~ spl144_399 ),
inference(avatar_split_clause,[],[f4781,f3339,f1233,f2028]) ).
fof(f3339,plain,
( spl144_399
<=> e11 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_399])]) ).
fof(f4781,plain,
( e11 = op1(e12,e13)
| ~ spl144_10
| ~ spl144_399 ),
inference(backward_demodulation,[],[f3341,f1235]) ).
fof(f3341,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ spl144_399 ),
inference(avatar_component_clause,[],[f3339]) ).
fof(f4759,plain,
( ~ spl144_370
| ~ spl144_315 ),
inference(avatar_split_clause,[],[f4495,f2661,f3048]) ).
fof(f3048,plain,
( spl144_370
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_370])]) ).
fof(f4495,plain,
( e12 != op1(e11,e10)
| ~ spl144_315 ),
inference(forward_demodulation,[],[f356,f2663]) ).
fof(f356,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4758,plain,
( ~ spl144_320
| ~ spl144_421 ),
inference(avatar_split_clause,[],[f4757,f3663,f2699]) ).
fof(f2699,plain,
( spl144_320
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_320])]) ).
fof(f4757,plain,
( e21 != op2(e22,e20)
| ~ spl144_421 ),
inference(forward_demodulation,[],[f3594,f3665]) ).
fof(f3594,plain,
op2(e22,e20) != h3(e13),
inference(backward_demodulation,[],[f1040,f312]) ).
fof(f1040,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4755,plain,
( ~ spl144_347
| ~ spl144_381 ),
inference(avatar_contradiction_clause,[],[f4754]) ).
fof(f4754,plain,
( $false
| ~ spl144_347
| ~ spl144_381 ),
inference(subsumption_resolution,[],[f4753,f662]) ).
fof(f4753,plain,
( e21 = e22
| ~ spl144_347
| ~ spl144_381 ),
inference(forward_demodulation,[],[f4246,f3136]) ).
fof(f3136,plain,
( e21 = op2(e23,e20)
| ~ spl144_381 ),
inference(avatar_component_clause,[],[f3134]) ).
fof(f3134,plain,
( spl144_381
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_381])]) ).
fof(f4721,plain,
( ~ spl144_29
| ~ spl144_95 ),
inference(avatar_contradiction_clause,[],[f4720]) ).
fof(f4720,plain,
( $false
| ~ spl144_29
| ~ spl144_95 ),
inference(subsumption_resolution,[],[f4719,f667]) ).
fof(f4719,plain,
( e20 = e21
| ~ spl144_29
| ~ spl144_95 ),
inference(forward_demodulation,[],[f1319,f1621]) ).
fof(f4718,plain,
( ~ spl144_279
| ~ spl144_329 ),
inference(avatar_contradiction_clause,[],[f4717]) ).
fof(f4717,plain,
( $false
| ~ spl144_279
| ~ spl144_329 ),
inference(subsumption_resolution,[],[f4716,f664]) ).
fof(f4716,plain,
( e20 = e23
| ~ spl144_279
| ~ spl144_329 ),
inference(forward_demodulation,[],[f2487,f2753]) ).
fof(f4695,plain,
( ~ spl144_22
| spl144_383 ),
inference(avatar_contradiction_clause,[],[f4694]) ).
fof(f4694,plain,
( $false
| ~ spl144_22
| spl144_383 ),
inference(subsumption_resolution,[],[f4693,f3155]) ).
fof(f4693,plain,
( e11 = e13
| ~ spl144_22 ),
inference(backward_demodulation,[],[f991,f1288]) ).
fof(f1288,plain,
( op1(e10,e10) = e11
| ~ spl144_22 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f1286,plain,
( spl144_22
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_22])]) ).
fof(f4676,plain,
( ~ spl144_79
| ~ spl144_417 ),
inference(avatar_contradiction_clause,[],[f4675]) ).
fof(f4675,plain,
( $false
| ~ spl144_79
| ~ spl144_417 ),
inference(subsumption_resolution,[],[f4674,f666]) ).
fof(f4674,plain,
( e21 = e23
| ~ spl144_79
| ~ spl144_417 ),
inference(forward_demodulation,[],[f4673,f1545]) ).
fof(f4673,plain,
( e23 = op2(e22,e22)
| ~ spl144_417 ),
inference(forward_demodulation,[],[f312,f3601]) ).
fof(f4649,plain,
( ~ spl144_185
| ~ spl144_369 ),
inference(avatar_split_clause,[],[f4648,f3041,f2058]) ).
fof(f4648,plain,
( e10 != op1(e12,e12)
| ~ spl144_369 ),
inference(backward_demodulation,[],[f335,f3043]) ).
fof(f335,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4637,plain,
( ~ spl144_18
| ~ spl144_20 ),
inference(avatar_contradiction_clause,[],[f4636]) ).
fof(f4636,plain,
( $false
| ~ spl144_18
| ~ spl144_20 ),
inference(subsumption_resolution,[],[f4635,f663]) ).
fof(f4635,plain,
( e20 = e22
| ~ spl144_18
| ~ spl144_20 ),
inference(backward_demodulation,[],[f1279,f1270]) ).
fof(f1270,plain,
( e20 = op2(e21,e21)
| ~ spl144_18 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f4610,plain,
( ~ spl144_151
| ~ spl144_417 ),
inference(avatar_split_clause,[],[f4609,f3600,f1879]) ).
fof(f4609,plain,
( e23 != op2(e22,e23)
| ~ spl144_417 ),
inference(forward_demodulation,[],[f3590,f3601]) ).
fof(f4595,plain,
( ~ spl144_214
| ~ spl144_241 ),
inference(avatar_contradiction_clause,[],[f4594]) ).
fof(f4594,plain,
( $false
| ~ spl144_214
| ~ spl144_241 ),
inference(subsumption_resolution,[],[f4593,f2323]) ).
fof(f2323,plain,
( e22 = op2(e20,e21)
| ~ spl144_241 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f4593,plain,
( e22 != op2(e20,e21)
| ~ spl144_214 ),
inference(forward_demodulation,[],[f1029,f2207]) ).
fof(f2207,plain,
( e22 = op2(e22,e21)
| ~ spl144_214 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f1029,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4580,plain,
( spl144_422
| ~ spl144_319
| ~ spl144_417 ),
inference(avatar_split_clause,[],[f4577,f3600,f2694,f3699]) ).
fof(f4577,plain,
( e21 = h3(e11)
| ~ spl144_319
| ~ spl144_417 ),
inference(backward_demodulation,[],[f4543,f2696]) ).
fof(f4543,plain,
( op2(e23,e23) = h3(e11)
| ~ spl144_417 ),
inference(backward_demodulation,[],[f3588,f3601]) ).
fof(f4566,plain,
( ~ spl144_10
| ~ spl144_117 ),
inference(avatar_contradiction_clause,[],[f4565]) ).
fof(f4565,plain,
( $false
| ~ spl144_10
| ~ spl144_117 ),
inference(subsumption_resolution,[],[f4564,f661]) ).
fof(f4564,plain,
( e12 = e13
| ~ spl144_10
| ~ spl144_117 ),
inference(forward_demodulation,[],[f1235,f1732]) ).
fof(f1732,plain,
( e12 = op1(e12,e11)
| ~ spl144_117 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f4557,plain,
( ~ spl144_99
| ~ spl144_214 ),
inference(avatar_split_clause,[],[f4553,f2206,f1638]) ).
fof(f4553,plain,
( e22 != op2(e22,e23)
| ~ spl144_214 ),
inference(backward_demodulation,[],[f1039,f2207]) ).
fof(f4556,plain,
( spl144_79
| ~ spl144_194
| ~ spl144_214 ),
inference(avatar_split_clause,[],[f4554,f2206,f2101,f1543]) ).
fof(f4554,plain,
( e21 = op2(e22,e22)
| ~ spl144_194
| ~ spl144_214 ),
inference(backward_demodulation,[],[f2103,f2207]) ).
fof(f4550,plain,
( ~ spl144_12
| ~ spl144_331 ),
inference(avatar_contradiction_clause,[],[f4549]) ).
fof(f4549,plain,
( $false
| ~ spl144_12
| ~ spl144_331 ),
inference(subsumption_resolution,[],[f4548,f656]) ).
fof(f656,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f4548,plain,
( e10 = e12
| ~ spl144_12
| ~ spl144_331 ),
inference(backward_demodulation,[],[f2765,f1244]) ).
fof(f4546,plain,
( spl144_99
| ~ spl144_387
| ~ spl144_417 ),
inference(avatar_split_clause,[],[f4545,f3600,f3202,f1638]) ).
fof(f4545,plain,
( e22 = op2(e22,e23)
| ~ spl144_387
| ~ spl144_417 ),
inference(backward_demodulation,[],[f4501,f3601]) ).
fof(f4501,plain,
( e22 = op2(e22,h3(e13))
| ~ spl144_387 ),
inference(backward_demodulation,[],[f3204,f312]) ).
fof(f3204,plain,
( e22 = op2(e22,op2(e22,e22))
| ~ spl144_387 ),
inference(avatar_component_clause,[],[f3202]) ).
fof(f4527,plain,
( ~ spl144_74
| spl144_394 ),
inference(avatar_contradiction_clause,[],[f4526]) ).
fof(f4526,plain,
( $false
| ~ spl144_74
| spl144_394 ),
inference(subsumption_resolution,[],[f4524,f3294]) ).
fof(f3294,plain,
( e22 != h3(e13)
| spl144_394 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f4524,plain,
( e22 = h3(e13)
| ~ spl144_74 ),
inference(backward_demodulation,[],[f312,f1524]) ).
fof(f4519,plain,
( spl144_319
| ~ spl144_347 ),
inference(avatar_contradiction_clause,[],[f4518]) ).
fof(f4518,plain,
( $false
| spl144_319
| ~ spl144_347 ),
inference(subsumption_resolution,[],[f4247,f2695]) ).
fof(f2695,plain,
( e21 != op2(e23,e23)
| spl144_319 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f4247,plain,
( e21 = op2(e23,e23)
| ~ spl144_347 ),
inference(backward_demodulation,[],[f3331,f2891]) ).
fof(f3331,plain,
e21 = op2(h1(e13),h1(e13)),
inference(forward_demodulation,[],[f670,f994]) ).
fof(f670,plain,
e21 = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[],[f13]) ).
fof(f4503,plain,
( ~ spl144_1
| ~ spl144_199 ),
inference(avatar_split_clause,[],[f4502,f2127,f1195]) ).
fof(f1195,plain,
( spl144_1
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_1])]) ).
fof(f4502,plain,
( e11 != op1(e11,e13)
| ~ spl144_199 ),
inference(forward_demodulation,[],[f332,f2128]) ).
fof(f332,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4488,plain,
( ~ spl144_99
| spl144_307
| ~ spl144_362 ),
inference(avatar_contradiction_clause,[],[f4487]) ).
fof(f4487,plain,
( $false
| ~ spl144_99
| spl144_307
| ~ spl144_362 ),
inference(subsumption_resolution,[],[f4486,f2616]) ).
fof(f2616,plain,
( e23 != op2(e22,e22)
| spl144_307 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f4486,plain,
( e23 = op2(e22,e22)
| ~ spl144_99
| ~ spl144_362 ),
inference(forward_demodulation,[],[f2979,f1640]) ).
fof(f2979,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ spl144_362 ),
inference(avatar_component_clause,[],[f2977]) ).
fof(f2977,plain,
( spl144_362
<=> e23 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_362])]) ).
fof(f4467,plain,
( ~ spl144_185
| ~ spl144_342 ),
inference(avatar_split_clause,[],[f4466,f2841,f2058]) ).
fof(f4466,plain,
( e10 != op1(e12,e12)
| ~ spl144_342 ),
inference(forward_demodulation,[],[f347,f2843]) ).
fof(f347,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4465,plain,
( ~ spl144_99
| ~ spl144_151 ),
inference(avatar_contradiction_clause,[],[f4464]) ).
fof(f4464,plain,
( $false
| ~ spl144_99
| ~ spl144_151 ),
inference(subsumption_resolution,[],[f4463,f665]) ).
fof(f4463,plain,
( e22 = e23
| ~ spl144_99
| ~ spl144_151 ),
inference(forward_demodulation,[],[f1881,f1640]) ).
fof(f1881,plain,
( e23 = op2(e22,e23)
| ~ spl144_151 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f4462,plain,
( ~ spl144_75
| ~ spl144_109 ),
inference(avatar_contradiction_clause,[],[f4461]) ).
fof(f4461,plain,
( $false
| ~ spl144_75
| ~ spl144_109 ),
inference(subsumption_resolution,[],[f4460,f662]) ).
fof(f4460,plain,
( e21 = e22
| ~ spl144_75
| ~ spl144_109 ),
inference(backward_demodulation,[],[f1528,f1690]) ).
fof(f1690,plain,
( e21 = op2(e21,e22)
| ~ spl144_109 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1528,plain,
( e22 = op2(e21,e22)
| ~ spl144_75 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1526,plain,
( spl144_75
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_75])]) ).
fof(f4459,plain,
( ~ spl144_320
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f4458,f1724,f2699]) ).
fof(f4458,plain,
( e21 != op2(e22,e20)
| ~ spl144_116 ),
inference(forward_demodulation,[],[f1030,f1725]) ).
fof(f1030,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4451,plain,
( ~ spl144_117
| ~ spl144_321 ),
inference(avatar_contradiction_clause,[],[f4450]) ).
fof(f4450,plain,
( $false
| ~ spl144_117
| ~ spl144_321 ),
inference(subsumption_resolution,[],[f4449,f2707]) ).
fof(f4449,plain,
( e12 != op1(e10,e11)
| ~ spl144_117 ),
inference(forward_demodulation,[],[f342,f1732]) ).
fof(f342,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4437,plain,
~ spl144_13,
inference(avatar_contradiction_clause,[],[f4436]) ).
fof(f4436,plain,
( $false
| ~ spl144_13 ),
inference(subsumption_resolution,[],[f4435,f660]) ).
fof(f4435,plain,
( e10 = e13
| ~ spl144_13 ),
inference(backward_demodulation,[],[f991,f1248]) ).
fof(f1248,plain,
( e10 = op1(e10,e10)
| ~ spl144_13 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1246,plain,
( spl144_13
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_13])]) ).
fof(f4424,plain,
( ~ spl144_56
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4277,f2890,f1439]) ).
fof(f1439,plain,
( spl144_56
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_56])]) ).
fof(f4277,plain,
( e23 != op2(e22,e20)
| ~ spl144_347 ),
inference(forward_demodulation,[],[f3276,f2891]) ).
fof(f3276,plain,
op2(e22,e20) != h1(e13),
inference(backward_demodulation,[],[f1041,f994]) ).
fof(f1041,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4423,plain,
( ~ spl144_11
| ~ spl144_342 ),
inference(avatar_split_clause,[],[f4422,f2841,f1238]) ).
fof(f4422,plain,
( e10 != op1(e10,e12)
| ~ spl144_342 ),
inference(forward_demodulation,[],[f322,f2843]) ).
fof(f322,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4410,plain,
( ~ spl144_303
| ~ spl144_324 ),
inference(avatar_contradiction_clause,[],[f4409]) ).
fof(f4409,plain,
( $false
| ~ spl144_303
| ~ spl144_324 ),
inference(subsumption_resolution,[],[f4408,f663]) ).
fof(f4408,plain,
( e20 = e22
| ~ spl144_303
| ~ spl144_324 ),
inference(backward_demodulation,[],[f2598,f2726]) ).
fof(f2726,plain,
( e20 = op2(e23,e20)
| ~ spl144_324 ),
inference(avatar_component_clause,[],[f2724]) ).
fof(f2724,plain,
( spl144_324
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_324])]) ).
fof(f4396,plain,
( ~ spl144_70
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4395,f2890,f1504]) ).
fof(f1504,plain,
( spl144_70
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_70])]) ).
fof(f4395,plain,
( e23 != op2(e20,e21)
| ~ spl144_347 ),
inference(forward_demodulation,[],[f3621,f2891]) ).
fof(f3621,plain,
op2(e20,e21) != h1(e13),
inference(forward_demodulation,[],[f1027,f994]) ).
fof(f1027,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4390,plain,
( ~ spl144_25
| ~ spl144_27 ),
inference(avatar_split_clause,[],[f4389,f1308,f1300]) ).
fof(f1308,plain,
( spl144_27
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_27])]) ).
fof(f4389,plain,
( e12 != op1(e12,e12)
| ~ spl144_27 ),
inference(forward_demodulation,[],[f359,f1310]) ).
fof(f1310,plain,
( e12 = op1(e11,e12)
| ~ spl144_27 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f359,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4386,plain,
( spl144_414
| ~ spl144_201 ),
inference(avatar_split_clause,[],[f4384,f2139,f3538]) ).
fof(f4384,plain,
( e23 = op2(e21,e21)
| ~ spl144_201 ),
inference(backward_demodulation,[],[f1049,f2141]) ).
fof(f4381,plain,
( ~ spl144_3
| ~ spl144_27 ),
inference(avatar_split_clause,[],[f4378,f1308,f1203]) ).
fof(f1203,plain,
( spl144_3
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_3])]) ).
fof(f4378,plain,
( e12 != op1(e11,e13)
| ~ spl144_27 ),
inference(backward_demodulation,[],[f350,f1310]) ).
fof(f350,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4371,plain,
( ~ spl144_164
| ~ spl144_341 ),
inference(avatar_contradiction_clause,[],[f4370]) ).
fof(f4370,plain,
( $false
| ~ spl144_164
| ~ spl144_341 ),
inference(subsumption_resolution,[],[f4369,f660]) ).
fof(f4369,plain,
( e10 = e13
| ~ spl144_164
| ~ spl144_341 ),
inference(backward_demodulation,[],[f1950,f2839]) ).
fof(f1950,plain,
( e13 = op1(e13,e11)
| ~ spl144_164 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f4366,plain,
( ~ spl144_9
| ~ spl144_178 ),
inference(avatar_contradiction_clause,[],[f4365]) ).
fof(f4365,plain,
( $false
| ~ spl144_9
| ~ spl144_178 ),
inference(subsumption_resolution,[],[f4364,f660]) ).
fof(f4364,plain,
( e10 = e13
| ~ spl144_9
| ~ spl144_178 ),
inference(forward_demodulation,[],[f1231,f2026]) ).
fof(f2026,plain,
( e10 = op1(e12,e13)
| ~ spl144_178 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2024,plain,
( spl144_178
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_178])]) ).
fof(f4348,plain,
( ~ spl144_3
| ~ spl144_4 ),
inference(avatar_contradiction_clause,[],[f4347]) ).
fof(f4347,plain,
( $false
| ~ spl144_3
| ~ spl144_4 ),
inference(subsumption_resolution,[],[f4346,f656]) ).
fof(f4346,plain,
( e10 = e12
| ~ spl144_3
| ~ spl144_4 ),
inference(backward_demodulation,[],[f1205,f1209]) ).
fof(f1209,plain,
( e10 = op1(e11,e13)
| ~ spl144_4 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1207,plain,
( spl144_4
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_4])]) ).
fof(f1205,plain,
( e12 = op1(e11,e13)
| ~ spl144_3 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f4342,plain,
( ~ spl144_417
| ~ spl144_154 ),
inference(avatar_split_clause,[],[f4341,f1896,f3600]) ).
fof(f4341,plain,
( e23 != h3(e13)
| ~ spl144_154 ),
inference(forward_demodulation,[],[f3841,f1897]) ).
fof(f4326,plain,
( spl144_421
| ~ spl144_79 ),
inference(avatar_split_clause,[],[f4325,f1543,f3663]) ).
fof(f4325,plain,
( e21 = h3(e13)
| ~ spl144_79 ),
inference(forward_demodulation,[],[f312,f1545]) ).
fof(f4308,plain,
( ~ spl144_146
| ~ spl144_319 ),
inference(avatar_contradiction_clause,[],[f4307]) ).
fof(f4307,plain,
( $false
| ~ spl144_146
| ~ spl144_319 ),
inference(subsumption_resolution,[],[f4306,f662]) ).
fof(f4306,plain,
( e21 = e22
| ~ spl144_146
| ~ spl144_319 ),
inference(forward_demodulation,[],[f1857,f2696]) ).
fof(f1857,plain,
( e22 = op2(e23,e23)
| ~ spl144_146 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1856,plain,
( spl144_146
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_146])]) ).
fof(f4294,plain,
( ~ spl144_74
| ~ spl144_79 ),
inference(avatar_contradiction_clause,[],[f4293]) ).
fof(f4293,plain,
( $false
| ~ spl144_74
| ~ spl144_79 ),
inference(subsumption_resolution,[],[f4292,f662]) ).
fof(f4292,plain,
( e21 = e22
| ~ spl144_74
| ~ spl144_79 ),
inference(forward_demodulation,[],[f1524,f1545]) ).
fof(f4274,plain,
( ~ spl144_204
| ~ spl144_199 ),
inference(avatar_split_clause,[],[f4273,f2127,f2155]) ).
fof(f2155,plain,
( spl144_204
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_204])]) ).
fof(f4273,plain,
( e11 != op1(e10,e13)
| ~ spl144_199 ),
inference(forward_demodulation,[],[f353,f2128]) ).
fof(f353,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4272,plain,
( ~ spl144_35
| ~ spl144_189 ),
inference(avatar_contradiction_clause,[],[f4271]) ).
fof(f4271,plain,
( $false
| ~ spl144_35
| ~ spl144_189 ),
inference(subsumption_resolution,[],[f4270,f664]) ).
fof(f4270,plain,
( e20 = e23
| ~ spl144_35
| ~ spl144_189 ),
inference(forward_demodulation,[],[f1347,f2077]) ).
fof(f1347,plain,
( e23 = op2(e23,e21)
| ~ spl144_35 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1345,plain,
( spl144_35
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_35])]) ).
fof(f4253,plain,
( ~ spl144_33
| ~ spl144_197 ),
inference(avatar_split_clause,[],[f4252,f2117,f1336]) ).
fof(f2117,plain,
( spl144_197
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_197])]) ).
fof(f4252,plain,
( e13 != op1(e13,e12)
| ~ spl144_197 ),
inference(forward_demodulation,[],[f361,f2119]) ).
fof(f2119,plain,
( e13 = op1(e11,e12)
| ~ spl144_197 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f361,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4251,plain,
( ~ spl144_69
| ~ spl144_347 ),
inference(avatar_split_clause,[],[f4245,f2890,f1500]) ).
fof(f1500,plain,
( spl144_69
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_69])]) ).
fof(f4245,plain,
( e23 != op2(e20,e23)
| ~ spl144_347 ),
inference(backward_demodulation,[],[f3275,f2891]) ).
fof(f3275,plain,
op2(e20,e23) != h1(e13),
inference(backward_demodulation,[],[f1035,f994]) ).
fof(f1035,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4250,plain,
( spl144_52
| ~ spl144_347
| ~ spl144_412 ),
inference(avatar_contradiction_clause,[],[f4249]) ).
fof(f4249,plain,
( $false
| spl144_52
| ~ spl144_347
| ~ spl144_412 ),
inference(subsumption_resolution,[],[f4248,f1421]) ).
fof(f1421,plain,
( e20 != op2(e20,e23)
| spl144_52 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f4248,plain,
( e20 = op2(e20,e23)
| ~ spl144_347
| ~ spl144_412 ),
inference(backward_demodulation,[],[f3523,f2891]) ).
fof(f3523,plain,
( e20 = op2(e20,h1(e13))
| ~ spl144_412 ),
inference(avatar_component_clause,[],[f3521]) ).
fof(f3521,plain,
( spl144_412
<=> e20 = op2(e20,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_412])]) ).
fof(f4234,plain,
( ~ spl144_125
| ~ spl144_199 ),
inference(avatar_split_clause,[],[f4232,f2127,f1768]) ).
fof(f1768,plain,
( spl144_125
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_125])]) ).
fof(f4232,plain,
( e11 != op1(e13,e12)
| ~ spl144_199 ),
inference(backward_demodulation,[],[f363,f2128]) ).
fof(f363,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4231,plain,
( ~ spl144_333
| ~ spl144_303 ),
inference(avatar_split_clause,[],[f4229,f2596,f2782]) ).
fof(f2782,plain,
( spl144_333
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_333])]) ).
fof(f4229,plain,
( e22 != h1(e13)
| ~ spl144_303 ),
inference(backward_demodulation,[],[f3569,f2598]) ).
fof(f4230,plain,
( ~ spl144_402
| ~ spl144_303 ),
inference(avatar_split_clause,[],[f4228,f2596,f3372]) ).
fof(f3372,plain,
( spl144_402
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_402])]) ).
fof(f4228,plain,
( e22 != h4(e13)
| ~ spl144_303 ),
inference(backward_demodulation,[],[f3445,f2598]) ).
fof(f3445,plain,
op2(e23,e20) != h4(e13),
inference(forward_demodulation,[],[f1012,f655]) ).
fof(f1012,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4222,plain,
( ~ spl144_103
| ~ spl144_201 ),
inference(avatar_contradiction_clause,[],[f4221]) ).
fof(f4221,plain,
( $false
| ~ spl144_103
| ~ spl144_201 ),
inference(subsumption_resolution,[],[f4220,f665]) ).
fof(f4220,plain,
( e22 = e23
| ~ spl144_103
| ~ spl144_201 ),
inference(forward_demodulation,[],[f2141,f1660]) ).
fof(f4208,plain,
( ~ spl144_60
| ~ spl144_92 ),
inference(avatar_split_clause,[],[f4207,f1604,f1459]) ).
fof(f4207,plain,
( e11 != op1(e11,e10)
| ~ spl144_92 ),
inference(forward_demodulation,[],[f348,f1606]) ).
fof(f348,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4190,plain,
( ~ spl144_124
| ~ spl144_92 ),
inference(avatar_split_clause,[],[f4189,f1604,f1764]) ).
fof(f4189,plain,
( e11 != op1(e12,e12)
| ~ spl144_92 ),
inference(forward_demodulation,[],[f335,f1606]) ).
fof(f4187,plain,
( ~ spl144_319
| spl144_406 ),
inference(avatar_contradiction_clause,[],[f4186]) ).
fof(f4186,plain,
( $false
| ~ spl144_319
| spl144_406 ),
inference(subsumption_resolution,[],[f4185,f3437]) ).
fof(f3437,plain,
( e21 != h4(e13)
| spl144_406 ),
inference(avatar_component_clause,[],[f3436]) ).
fof(f4185,plain,
( e21 = h4(e13)
| ~ spl144_319 ),
inference(backward_demodulation,[],[f655,f2696]) ).
fof(f4182,plain,
( ~ spl144_95
| ~ spl144_189 ),
inference(avatar_split_clause,[],[f4181,f2075,f1620]) ).
fof(f4181,plain,
( e20 != h2(e13)
| ~ spl144_189 ),
inference(forward_demodulation,[],[f3493,f2077]) ).
fof(f3493,plain,
op2(e23,e21) != h2(e13),
inference(forward_demodulation,[],[f1022,f1049]) ).
fof(f1022,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4170,plain,
( ~ spl144_315
| ~ spl144_340 ),
inference(avatar_contradiction_clause,[],[f4169]) ).
fof(f4169,plain,
( $false
| ~ spl144_315
| ~ spl144_340 ),
inference(subsumption_resolution,[],[f4168,f656]) ).
fof(f4168,plain,
( e10 = e12
| ~ spl144_315
| ~ spl144_340 ),
inference(backward_demodulation,[],[f2663,f2835]) ).
fof(f2835,plain,
( e10 = op1(e13,e10)
| ~ spl144_340 ),
inference(avatar_component_clause,[],[f2833]) ).
fof(f2833,plain,
( spl144_340
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_340])]) ).
fof(f4167,plain,
( ~ spl144_75
| ~ spl144_77 ),
inference(avatar_contradiction_clause,[],[f4166]) ).
fof(f4166,plain,
( $false
| ~ spl144_75
| ~ spl144_77 ),
inference(subsumption_resolution,[],[f4165,f1536]) ).
fof(f4165,plain,
( e22 != op2(e20,e22)
| ~ spl144_75 ),
inference(forward_demodulation,[],[f1045,f1528]) ).
fof(f1045,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4164,plain,
( ~ spl144_335
| ~ spl144_73 ),
inference(avatar_split_clause,[],[f4163,f1517,f2799]) ).
fof(f4163,plain,
( e20 != op2(e21,e20)
| ~ spl144_73 ),
inference(forward_demodulation,[],[f1030,f1519]) ).
fof(f4162,plain,
( ~ spl144_60
| ~ spl144_113 ),
inference(avatar_split_clause,[],[f4161,f1707,f1459]) ).
fof(f4161,plain,
( e11 != op1(e11,e10)
| ~ spl144_113 ),
inference(forward_demodulation,[],[f354,f1708]) ).
fof(f354,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4160,plain,
( ~ spl144_394
| ~ spl144_77 ),
inference(avatar_split_clause,[],[f4159,f1534,f3292]) ).
fof(f4159,plain,
( e22 != h3(e13)
| ~ spl144_77 ),
inference(backward_demodulation,[],[f3591,f1536]) ).
fof(f4152,plain,
( ~ spl144_41
| ~ spl144_51 ),
inference(avatar_contradiction_clause,[],[f4151]) ).
fof(f4151,plain,
( $false
| ~ spl144_41
| ~ spl144_51 ),
inference(subsumption_resolution,[],[f4150,f666]) ).
fof(f4150,plain,
( e21 = e23
| ~ spl144_41
| ~ spl144_51 ),
inference(backward_demodulation,[],[f1417,f1374]) ).
fof(f1374,plain,
( op2(e20,e20) = e21
| ~ spl144_41 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1372,plain,
( spl144_41
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_41])]) ).
fof(f4147,plain,
( spl144_95
| ~ spl144_18 ),
inference(avatar_split_clause,[],[f4146,f1268,f1620]) ).
fof(f4146,plain,
( e20 = h2(e13)
| ~ spl144_18 ),
inference(forward_demodulation,[],[f1049,f1270]) ).
fof(f4145,plain,
( ~ spl144_31
| ~ spl144_51 ),
inference(avatar_contradiction_clause,[],[f4144]) ).
fof(f4144,plain,
( $false
| ~ spl144_31
| ~ spl144_51 ),
inference(subsumption_resolution,[],[f4143,f665]) ).
fof(f4143,plain,
( e22 = e23
| ~ spl144_31
| ~ spl144_51 ),
inference(backward_demodulation,[],[f1417,f1328]) ).
fof(f1328,plain,
( op2(e20,e20) = e22
| ~ spl144_31 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1327,plain,
( spl144_31
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_31])]) ).
fof(f4137,plain,
( ~ spl144_394
| ~ spl144_75 ),
inference(avatar_split_clause,[],[f4136,f1526,f3292]) ).
fof(f4136,plain,
( e22 != h3(e13)
| ~ spl144_75 ),
inference(backward_demodulation,[],[f3593,f1528]) ).
fof(f4134,plain,
( ~ spl144_394
| ~ spl144_76 ),
inference(avatar_split_clause,[],[f4130,f1530,f3292]) ).
fof(f1530,plain,
( spl144_76
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_76])]) ).
fof(f4130,plain,
( e22 != h3(e13)
| ~ spl144_76 ),
inference(backward_demodulation,[],[f3841,f1532]) ).
fof(f1532,plain,
( e22 = op2(e23,e22)
| ~ spl144_76 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f4120,plain,
( ~ spl144_95
| ~ spl144_103 ),
inference(avatar_contradiction_clause,[],[f4119]) ).
fof(f4119,plain,
( $false
| ~ spl144_95
| ~ spl144_103 ),
inference(subsumption_resolution,[],[f4118,f663]) ).
fof(f4118,plain,
( e20 = e22
| ~ spl144_95
| ~ spl144_103 ),
inference(forward_demodulation,[],[f1660,f1621]) ).
fof(f4108,plain,
( ~ spl144_199
| ~ spl144_306 ),
inference(avatar_contradiction_clause,[],[f4107]) ).
fof(f4107,plain,
( $false
| ~ spl144_199
| ~ spl144_306 ),
inference(subsumption_resolution,[],[f4106,f657]) ).
fof(f657,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f4106,plain,
( e10 = e11
| ~ spl144_199
| ~ spl144_306 ),
inference(backward_demodulation,[],[f2128,f2612]) ).
fof(f2612,plain,
( e10 = op1(e13,e13)
| ~ spl144_306 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f2610,plain,
( spl144_306
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_306])]) ).
fof(f4104,plain,
( ~ spl144_365
| ~ spl144_92 ),
inference(avatar_split_clause,[],[f4103,f1604,f3006]) ).
fof(f4103,plain,
( e11 != op1(e12,e11)
| ~ spl144_92 ),
inference(backward_demodulation,[],[f341,f1606]) ).
fof(f341,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4096,plain,
( ~ spl144_10
| ~ spl144_164 ),
inference(avatar_split_clause,[],[f4093,f1948,f1233]) ).
fof(f4093,plain,
( e13 != op1(e12,e11)
| ~ spl144_164 ),
inference(backward_demodulation,[],[f324,f1950]) ).
fof(f324,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4095,plain,
( ~ spl144_48
| ~ spl144_164 ),
inference(avatar_split_clause,[],[f4094,f1948,f1403]) ).
fof(f1403,plain,
( spl144_48
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_48])]) ).
fof(f4094,plain,
( e13 != op1(e13,e13)
| ~ spl144_164 ),
inference(backward_demodulation,[],[f333,f1950]) ).
fof(f4089,plain,
( ~ spl144_372
| ~ spl144_14 ),
inference(avatar_split_clause,[],[f4085,f1250,f3062]) ).
fof(f3062,plain,
( spl144_372
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_372])]) ).
fof(f4085,plain,
( e10 != op1(e12,e11)
| ~ spl144_14 ),
inference(backward_demodulation,[],[f342,f1252]) ).
fof(f1252,plain,
( e10 = op1(e10,e11)
| ~ spl144_14 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f4063,plain,
( spl144_407
| ~ spl144_15 ),
inference(avatar_split_clause,[],[f4062,f1255,f3450]) ).
fof(f1255,plain,
( spl144_15
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_15])]) ).
fof(f4062,plain,
( e23 = h4(e13)
| ~ spl144_15 ),
inference(backward_demodulation,[],[f655,f1257]) ).
fof(f1257,plain,
( e23 = op2(e23,e23)
| ~ spl144_15 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f4060,plain,
( ~ spl144_369
| ~ spl144_178 ),
inference(avatar_split_clause,[],[f4056,f2024,f3041]) ).
fof(f4056,plain,
( e10 != op1(e12,e10)
| ~ spl144_178 ),
inference(backward_demodulation,[],[f323,f2026]) ).
fof(f323,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4055,plain,
( ~ spl144_67
| ~ spl144_113 ),
inference(avatar_contradiction_clause,[],[f4054]) ).
fof(f4054,plain,
( $false
| ~ spl144_67
| ~ spl144_113 ),
inference(subsumption_resolution,[],[f4053,f658]) ).
fof(f4053,plain,
( e11 = e12
| ~ spl144_67
| ~ spl144_113 ),
inference(forward_demodulation,[],[f1490,f1708]) ).
fof(f4051,plain,
( ~ spl144_178
| ~ spl144_12 ),
inference(avatar_split_clause,[],[f4048,f1242,f2024]) ).
fof(f4048,plain,
( e10 != op1(e12,e13)
| ~ spl144_12 ),
inference(backward_demodulation,[],[f330,f1244]) ).
fof(f330,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4045,plain,
( ~ spl144_7
| ~ spl144_25 ),
inference(avatar_contradiction_clause,[],[f4044]) ).
fof(f4044,plain,
( $false
| ~ spl144_7
| ~ spl144_25 ),
inference(subsumption_resolution,[],[f4043,f661]) ).
fof(f4043,plain,
( e12 = e13
| ~ spl144_7
| ~ spl144_25 ),
inference(backward_demodulation,[],[f1223,f1302]) ).
fof(f1223,plain,
( e13 = op1(e12,e12)
| ~ spl144_7 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1221,plain,
( spl144_7
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_7])]) ).
fof(f4042,plain,
( ~ spl144_364
| ~ spl144_113 ),
inference(avatar_split_clause,[],[f4037,f1707,f3002]) ).
fof(f4037,plain,
( e11 != op1(e10,e11)
| ~ spl144_113 ),
inference(backward_demodulation,[],[f329,f1708]) ).
fof(f4006,plain,
( ~ spl144_109
| ~ spl144_43 ),
inference(avatar_split_clause,[],[f3998,f1380,f1689]) ).
fof(f3998,plain,
( e21 != op2(e21,e22)
| ~ spl144_43 ),
inference(backward_demodulation,[],[f1045,f1382]) ).
fof(f4005,plain,
( ~ spl144_395
| ~ spl144_43 ),
inference(avatar_split_clause,[],[f4000,f1380,f3307]) ).
fof(f3307,plain,
( spl144_395
<=> e21 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_395])]) ).
fof(f4000,plain,
( e21 != h1(e13)
| ~ spl144_43 ),
inference(backward_demodulation,[],[f3278,f1382]) ).
fof(f4004,plain,
( ~ spl144_42
| ~ spl144_43 ),
inference(avatar_split_clause,[],[f4001,f1380,f1376]) ).
fof(f4001,plain,
( e21 != op2(e20,e21)
| ~ spl144_43 ),
inference(backward_demodulation,[],[f1013,f1382]) ).
fof(f1013,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3989,plain,
( spl144_408
| ~ spl144_38 ),
inference(avatar_split_clause,[],[f3988,f1358,f3465]) ).
fof(f3988,plain,
( e20 = h3(e13)
| ~ spl144_38 ),
inference(backward_demodulation,[],[f312,f1359]) ).
fof(f3987,plain,
( spl144_347
| ~ spl144_51 ),
inference(avatar_split_clause,[],[f3986,f1416,f2890]) ).
fof(f3986,plain,
( e23 = h1(e13)
| ~ spl144_51 ),
inference(backward_demodulation,[],[f994,f1417]) ).
fof(f3971,plain,
( ~ spl144_26
| ~ spl144_315 ),
inference(avatar_split_clause,[],[f3965,f2661,f1304]) ).
fof(f1304,plain,
( spl144_26
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_26])]) ).
fof(f3965,plain,
( e12 != op1(e13,e12)
| ~ spl144_315 ),
inference(backward_demodulation,[],[f340,f2663]) ).
fof(f340,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3970,plain,
( ~ spl144_111
| ~ spl144_315 ),
inference(avatar_split_clause,[],[f3967,f2661,f1698]) ).
fof(f1698,plain,
( spl144_111
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_111])]) ).
fof(f3967,plain,
( e12 != op1(e12,e10)
| ~ spl144_315 ),
inference(backward_demodulation,[],[f339,f2663]) ).
fof(f339,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3969,plain,
( ~ spl144_316
| ~ spl144_315 ),
inference(avatar_split_clause,[],[f3964,f2661,f2665]) ).
fof(f2665,plain,
( spl144_316
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_316])]) ).
fof(f3964,plain,
( e12 != op1(e13,e11)
| ~ spl144_315 ),
inference(backward_demodulation,[],[f320,f2663]) ).
fof(f320,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3968,plain,
( ~ spl144_62
| ~ spl144_315 ),
inference(avatar_split_clause,[],[f3966,f2661,f1468]) ).
fof(f1468,plain,
( spl144_62
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_62])]) ).
fof(f3966,plain,
( e12 != op1(e13,e13)
| ~ spl144_315 ),
inference(backward_demodulation,[],[f338,f2663]) ).
fof(f338,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3963,plain,
( ~ spl144_331
| ~ spl144_3 ),
inference(avatar_split_clause,[],[f3954,f1203,f2763]) ).
fof(f3954,plain,
( e12 != op1(e10,e13)
| ~ spl144_3 ),
inference(backward_demodulation,[],[f321,f1205]) ).
fof(f321,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3959,plain,
( ~ spl144_67
| ~ spl144_3 ),
inference(avatar_split_clause,[],[f3955,f1203,f1489]) ).
fof(f3955,plain,
( e12 != op1(e11,e11)
| ~ spl144_3 ),
inference(backward_demodulation,[],[f358,f1205]) ).
fof(f3950,plain,
( ~ spl144_28
| ~ spl144_123 ),
inference(avatar_contradiction_clause,[],[f3949]) ).
fof(f3949,plain,
( $false
| ~ spl144_28
| ~ spl144_123 ),
inference(subsumption_resolution,[],[f3948,f658]) ).
fof(f3948,plain,
( e11 = e12
| ~ spl144_28
| ~ spl144_123 ),
inference(backward_demodulation,[],[f1314,f1762]) ).
fof(f3942,plain,
( ~ spl144_361
| ~ spl144_52 ),
inference(avatar_split_clause,[],[f3940,f1420,f2969]) ).
fof(f2969,plain,
( spl144_361
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_361])]) ).
fof(f3940,plain,
( e20 != h1(e13)
| ~ spl144_52 ),
inference(backward_demodulation,[],[f3275,f1422]) ).
fof(f3937,plain,
( ~ spl144_385
| ~ spl144_99 ),
inference(avatar_split_clause,[],[f3931,f1638,f3176]) ).
fof(f3931,plain,
( e22 != op2(e20,e23)
| ~ spl144_99 ),
inference(backward_demodulation,[],[f1018,f1640]) ).
fof(f1018,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3936,plain,
( ~ spl144_394
| ~ spl144_99 ),
inference(avatar_split_clause,[],[f3930,f1638,f3292]) ).
fof(f3930,plain,
( e22 != h3(e13)
| ~ spl144_99 ),
inference(backward_demodulation,[],[f3590,f1640]) ).
fof(f3929,plain,
( ~ spl144_9
| ~ spl144_7 ),
inference(avatar_split_clause,[],[f3924,f1221,f1229]) ).
fof(f3924,plain,
( e13 != op1(e12,e13)
| ~ spl144_7 ),
inference(backward_demodulation,[],[f360,f1223]) ).
fof(f3927,plain,
( ~ spl144_10
| ~ spl144_7 ),
inference(avatar_split_clause,[],[f3923,f1221,f1233]) ).
fof(f3923,plain,
( e13 != op1(e12,e11)
| ~ spl144_7 ),
inference(backward_demodulation,[],[f326,f1223]) ).
fof(f3925,plain,
( ~ spl144_33
| ~ spl144_7 ),
inference(avatar_split_clause,[],[f3921,f1221,f1336]) ).
fof(f3921,plain,
( e13 != op1(e13,e12)
| ~ spl144_7 ),
inference(backward_demodulation,[],[f347,f1223]) ).
fof(f3918,plain,
( ~ spl144_406
| ~ spl144_6 ),
inference(avatar_split_clause,[],[f3910,f1216,f3436]) ).
fof(f1216,plain,
( spl144_6
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_6])]) ).
fof(f3910,plain,
( e21 != h4(e13)
| ~ spl144_6 ),
inference(backward_demodulation,[],[f3327,f1217]) ).
fof(f1217,plain,
( e21 = op2(e21,e23)
| ~ spl144_6 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f3327,plain,
op2(e21,e23) != h4(e13),
inference(forward_demodulation,[],[f1036,f655]) ).
fof(f1036,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3907,plain,
( ~ spl144_207
| ~ spl144_205 ),
inference(avatar_split_clause,[],[f3898,f2160,f2168]) ).
fof(f2160,plain,
( spl144_205
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_205])]) ).
fof(f3898,plain,
( e10 != op1(e11,e12)
| ~ spl144_205 ),
inference(backward_demodulation,[],[f336,f2162]) ).
fof(f2162,plain,
( e10 = op1(e11,e10)
| ~ spl144_205 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f3906,plain,
( ~ spl144_4
| ~ spl144_205 ),
inference(avatar_split_clause,[],[f3902,f2160,f1207]) ).
fof(f3902,plain,
( e10 != op1(e11,e13)
| ~ spl144_205 ),
inference(backward_demodulation,[],[f334,f2162]) ).
fof(f334,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3903,plain,
( ~ spl144_206
| ~ spl144_205 ),
inference(avatar_split_clause,[],[f3899,f2160,f2164]) ).
fof(f2164,plain,
( spl144_206
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_206])]) ).
fof(f3899,plain,
( e10 != op1(e11,e11)
| ~ spl144_205 ),
inference(backward_demodulation,[],[f354,f2162]) ).
fof(f3896,plain,
( ~ spl144_25
| ~ spl144_28 ),
inference(avatar_split_clause,[],[f3892,f1312,f1300]) ).
fof(f3892,plain,
( e12 != op1(e12,e12)
| ~ spl144_28 ),
inference(backward_demodulation,[],[f317,f1314]) ).
fof(f317,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3893,plain,
( ~ spl144_321
| ~ spl144_28 ),
inference(avatar_split_clause,[],[f3890,f1312,f2705]) ).
fof(f3890,plain,
( e12 != op1(e10,e11)
| ~ spl144_28 ),
inference(backward_demodulation,[],[f357,f1314]) ).
fof(f3871,plain,
( ~ spl144_48
| ~ spl144_183 ),
inference(avatar_split_clause,[],[f558,f2048,f1403]) ).
fof(f2048,plain,
( spl144_183
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_183])]) ).
fof(f558,plain,
( ~ sP17
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f3867,plain,
( spl144_402
| ~ spl144_302 ),
inference(avatar_split_clause,[],[f3866,f2589,f3372]) ).
fof(f2589,plain,
( spl144_302
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_302])]) ).
fof(f3866,plain,
( ~ sP128
| e22 = h4(e13) ),
inference(forward_demodulation,[],[f727,f655]) ).
fof(f727,plain,
( ~ sP128
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ( e22 = op2(e22,e22)
& e23 != op2(e23,e22)
& e22 != op2(e22,e22)
& e22 = op2(e23,e23) )
| ~ sP128 ),
inference(nnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e22 = op2(e22,e22)
& e23 != op2(e23,e22)
& e22 != op2(e22,e22)
& e22 = op2(e23,e23) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f3863,plain,
( ~ spl144_347
| ~ spl144_357 ),
inference(avatar_split_clause,[],[f3862,f2933,f2890]) ).
fof(f2933,plain,
( spl144_357
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_357])]) ).
fof(f3862,plain,
( ~ sP76
| e23 != h1(e13) ),
inference(forward_demodulation,[],[f937,f994]) ).
fof(f937,plain,
( op2(e20,e20) != e23
| ~ sP76 ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23)
& op2(e20,e20) = e23 )
| ~ sP76 ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23)
& op2(e20,e20) = e23 )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f3861,plain,
( spl144_201
| spl144_55
| spl144_279
| spl144_379 ),
inference(avatar_split_clause,[],[f3860,f3115,f2485,f1435,f2139]) ).
fof(f3860,plain,
( e23 = op2(e21,e22)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = h2(e13) ),
inference(forward_demodulation,[],[f1147,f1049]) ).
fof(f1147,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e21 = op2(e21,e20)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21) )
& ( e20 = op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20) )
& ( e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21) )
& ( e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e22 = op2(e20,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e23)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22) )
& ( e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) )
& ( e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22) )
& ( e21 = op2(e20,e22)
| e21 = op2(e20,e23)
| op2(e20,e20) = e21
| e21 = op2(e20,e21) )
& ( e22 = op2(e23,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21)
| e22 = op2(e22,e21) )
& ( op2(e20,e20) = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20) )
& ( e22 = op2(e21,e21)
| e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e23)
| e23 = op2(e22,e20)
| e23 = op2(e22,e22) )
& ( e22 = op2(e21,e22)
| e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e23,e20)
| op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20)
| e20 = op2(e23,e22) )
& ( e22 = op2(e22,e20)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e21) )
& ( e21 = op2(e22,e23)
| e21 = op2(e20,e23)
| e21 = op2(e23,e23)
| e21 = op2(e21,e23) )
& ( e20 = op2(e20,e21)
| e20 = op2(e20,e23)
| e20 = op2(e20,e20)
| e20 = op2(e20,e22) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e20)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e23) )
& ( e22 = op2(e23,e20)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e23 = op2(e21,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21) )
& ( e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20)
| op2(e20,e20) = e23 )
& ( e20 = op2(e23,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23)
| e20 = op2(e22,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f3857,plain,
( spl144_69
| spl144_40
| spl144_385
| spl144_52 ),
inference(avatar_split_clause,[],[f695,f1420,f3176,f1368,f1500]) ).
fof(f695,plain,
( e20 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e22 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e23 = op2(e23,e21) )
& ( e23 = op2(e23,e23)
| e21 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20)
| e23 = op2(e22,e20) )
& ( e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e21 = op2(e21,e21)
| e20 = op2(e21,e21)
| e22 = op2(e21,e21)
| e23 = op2(e21,e21) )
& ( op2(e20,e20) = e21
| op2(e20,e20) = e23
| e20 = op2(e20,e20)
| op2(e20,e20) = e22 )
& ( e21 = op2(e20,e23)
| e22 = op2(e20,e23)
| e20 = op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e20 = op2(e22,e21)
| e22 = op2(e22,e21)
| e23 = op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e20 = op2(e21,e23)
| e21 = op2(e21,e23) )
& ( e20 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20) )
& ( e20 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e21 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e20 = op2(e20,e21)
| e22 = op2(e20,e21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f3856,plain,
( ~ spl144_49
| ~ spl144_48 ),
inference(avatar_split_clause,[],[f379,f1403,f1407]) ).
fof(f1407,plain,
( spl144_49
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_49])]) ).
fof(f379,plain,
( e13 != op1(e13,e13)
| ~ sP62 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( e13 != op1(e13,e13)
& e11 != op1(e11,e13)
& e13 = op1(e13,e13)
& e13 = op1(e11,e11) )
| ~ sP62 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e13 != op1(e13,e13)
& e11 != op1(e11,e13)
& e13 = op1(e13,e13)
& e13 = op1(e11,e11) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f3854,plain,
( ~ spl144_155
| ~ spl144_25 ),
inference(avatar_split_clause,[],[f613,f1300,f1901]) ).
fof(f1901,plain,
( spl144_155
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_155])]) ).
fof(f613,plain,
( e12 != op1(e12,e12)
| ~ sP3 ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( e11 = op1(e11,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e11 = op1(e11,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f3853,plain,
( spl144_433
| ~ spl144_64 ),
inference(avatar_split_clause,[],[f623,f1476,f3850]) ).
fof(f1476,plain,
( spl144_64
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_64])]) ).
fof(f623,plain,
( ~ sP2
| e11 = op1(e13,op1(e13,e11)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e11 = op1(e13,op1(e13,e11))
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& e12 = op1(e13,op1(e13,e12))
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& e13 = op1(e13,op1(e13,e13))
& e10 = op1(e13,op1(e13,e10))
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e11 = op1(e13,op1(e13,e11))
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& e12 = op1(e13,op1(e13,e12))
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& e13 = op1(e13,op1(e13,e13))
& e10 = op1(e13,op1(e13,e10))
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3838,plain,
( spl144_178
| spl144_12
| spl144_4
| spl144_306 ),
inference(avatar_split_clause,[],[f1188,f2610,f1207,f1242,f2024]) ).
fof(f1188,plain,
( e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10) )
& ( e11 = op1(e11,e13)
| e11 = op1(e12,e13)
| e11 = op1(e10,e13)
| e11 = op1(e13,e13) )
& ( e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12)
| e11 = op1(e13,e12) )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13
| e13 = op1(e10,e12) )
& ( e12 = op1(e10,e13)
| e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10)
| e11 = op1(e12,e13) )
& ( e12 = op1(e12,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e13,e10) )
& ( e10 = op1(e10,e11)
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11) )
& ( op1(e10,e10) = e11
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) )
& ( e12 = op1(e10,e11)
| e12 = op1(e10,e13)
| op1(e10,e10) = e12
| e12 = op1(e10,e12) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12) )
& ( e13 = op1(e12,e12)
| e13 = op1(e13,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12) )
& ( e12 = op1(e10,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12)
| e12 = op1(e11,e12) )
& ( e11 = op1(e13,e12)
| e11 = op1(e13,e10)
| e11 = op1(e13,e13)
| e11 = op1(e13,e11) )
& ( e12 = op1(e11,e11)
| e12 = op1(e11,e13)
| e12 = op1(e11,e10)
| e12 = op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| e11 = op1(e11,e13) )
& ( e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10)
| e10 = op1(e10,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| op1(e10,e10) = e13
| e13 = op1(e11,e10) )
& ( e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e13,e12)
| e10 = op1(e10,e12) )
& ( e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11
| e11 = op1(e10,e13) )
& ( e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13)
| e10 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e10,e11)
| e12 = op1(e11,e11) )
& ( e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e13,e13)
| e13 = op1(e10,e13)
| e13 = op1(e12,e13) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e10 = op1(e12,e12)
| e10 = op1(e12,e13)
| e10 = op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| e11 = op1(e13,e11)
| e11 = op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12) )
& ( e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| e12 = op1(e13,e13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3837,plain,
( ~ spl144_163
| spl144_29 ),
inference(avatar_split_clause,[],[f3836,f1318,f1943]) ).
fof(f1943,plain,
( spl144_163
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_163])]) ).
fof(f3836,plain,
( e21 = h2(e13)
| ~ sP98 ),
inference(forward_demodulation,[],[f848,f1049]) ).
fof(f848,plain,
( e21 = op2(e21,e21)
| ~ sP98 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e21 != op2(e21,e21)
& op2(e20,e20) = e21
& e21 = op2(e21,e21)
& e20 != op2(e20,e21) )
| ~ sP98 ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e21 != op2(e21,e21)
& op2(e20,e20) = e21
& e21 = op2(e21,e21)
& e20 != op2(e20,e21) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f3834,plain,
( spl144_211
| spl144_32
| spl144_104
| spl144_346
| spl144_354
| spl144_349
| spl144_122
| spl144_309
| spl144_30
| spl144_16
| spl144_17
| spl144_337
| spl144_355
| spl144_54
| spl144_280
| spl144_98
| spl144_47
| spl144_180
| spl144_147
| spl144_110
| spl144_159
| spl144_90
| spl144_302
| spl144_281
| spl144_344
| spl144_114
| spl144_357
| spl144_278
| spl144_336
| spl144_5
| spl144_313
| spl144_115
| spl144_145
| spl144_332
| spl144_78
| spl144_160
| spl144_203
| spl144_308
| spl144_311
| spl144_19
| spl144_158
| spl144_352
| spl144_240
| spl144_83
| spl144_338
| spl144_44
| ~ spl144_417
| spl144_210
| spl144_356
| spl144_353
| spl144_351
| spl144_37
| spl144_106
| spl144_314
| spl144_59
| spl144_350
| spl144_119
| spl144_84
| spl144_36
| spl144_213
| spl144_184
| spl144_152
| spl144_163
| spl144_200 ),
inference(avatar_split_clause,[],[f3833,f2132,f1943,f1885,f2053,f2202,f1349,f1566,f1740,f2905,f1454,f2656,f1675,f1354,f2909,f2917,f2929,f2184,f3600,f1385,f2818,f1561,f2313,f2913,f1917,f1273,f2638,f2620,f2150,f1927,f1539,f2773,f1851,f1720,f2648,f1212,f2804,f2478,f2933,f1715,f2856,f2497,f2589,f1595,f1922,f1693,f1860,f2033,f1398,f1634,f2492,f1430,f2925,f2810,f1264,f1259,f1322,f2628,f1755,f2901,f2921,f2884,f1663,f1331,f2189]) ).
fof(f2189,plain,
( spl144_211
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_211])]) ).
fof(f1331,plain,
( spl144_32
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_32])]) ).
fof(f1663,plain,
( spl144_104
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_104])]) ).
fof(f2884,plain,
( spl144_346
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_346])]) ).
fof(f2921,plain,
( spl144_354
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_354])]) ).
fof(f2901,plain,
( spl144_349
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_349])]) ).
fof(f1755,plain,
( spl144_122
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_122])]) ).
fof(f2628,plain,
( spl144_309
<=> sP110 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_309])]) ).
fof(f1322,plain,
( spl144_30
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_30])]) ).
fof(f1259,plain,
( spl144_16
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_16])]) ).
fof(f1264,plain,
( spl144_17
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_17])]) ).
fof(f2810,plain,
( spl144_337
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_337])]) ).
fof(f2925,plain,
( spl144_355
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_355])]) ).
fof(f1430,plain,
( spl144_54
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_54])]) ).
fof(f2492,plain,
( spl144_280
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_280])]) ).
fof(f1634,plain,
( spl144_98
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_98])]) ).
fof(f1398,plain,
( spl144_47
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_47])]) ).
fof(f2033,plain,
( spl144_180
<=> sP80 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_180])]) ).
fof(f1860,plain,
( spl144_147
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_147])]) ).
fof(f1693,plain,
( spl144_110
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_110])]) ).
fof(f1922,plain,
( spl144_159
<=> sP88 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_159])]) ).
fof(f1595,plain,
( spl144_90
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_90])]) ).
fof(f2497,plain,
( spl144_281
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_281])]) ).
fof(f2856,plain,
( spl144_344
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_344])]) ).
fof(f1715,plain,
( spl144_114
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_114])]) ).
fof(f2478,plain,
( spl144_278
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_278])]) ).
fof(f2804,plain,
( spl144_336
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_336])]) ).
fof(f1212,plain,
( spl144_5
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_5])]) ).
fof(f2648,plain,
( spl144_313
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_313])]) ).
fof(f1720,plain,
( spl144_115
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_115])]) ).
fof(f1851,plain,
( spl144_145
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_145])]) ).
fof(f2773,plain,
( spl144_332
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_332])]) ).
fof(f1539,plain,
( spl144_78
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_78])]) ).
fof(f1927,plain,
( spl144_160
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_160])]) ).
fof(f2150,plain,
( spl144_203
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_203])]) ).
fof(f2620,plain,
( spl144_308
<=> sP104 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_308])]) ).
fof(f2638,plain,
( spl144_311
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_311])]) ).
fof(f1273,plain,
( spl144_19
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_19])]) ).
fof(f1917,plain,
( spl144_158
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_158])]) ).
fof(f2913,plain,
( spl144_352
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_352])]) ).
fof(f2313,plain,
( spl144_240
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_240])]) ).
fof(f1561,plain,
( spl144_83
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_83])]) ).
fof(f2818,plain,
( spl144_338
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_338])]) ).
fof(f1385,plain,
( spl144_44
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_44])]) ).
fof(f2184,plain,
( spl144_210
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_210])]) ).
fof(f2929,plain,
( spl144_356
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_356])]) ).
fof(f2917,plain,
( spl144_353
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_353])]) ).
fof(f2909,plain,
( spl144_351
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_351])]) ).
fof(f1354,plain,
( spl144_37
<=> sP120 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_37])]) ).
fof(f1675,plain,
( spl144_106
<=> sP78 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_106])]) ).
fof(f2656,plain,
( spl144_314
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_314])]) ).
fof(f1454,plain,
( spl144_59
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_59])]) ).
fof(f2905,plain,
( spl144_350
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_350])]) ).
fof(f1740,plain,
( spl144_119
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_119])]) ).
fof(f1566,plain,
( spl144_84
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_84])]) ).
fof(f1349,plain,
( spl144_36
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_36])]) ).
fof(f2202,plain,
( spl144_213
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_213])]) ).
fof(f2053,plain,
( spl144_184
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_184])]) ).
fof(f1885,plain,
( spl144_152
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_152])]) ).
fof(f2132,plain,
( spl144_200
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_200])]) ).
fof(f3833,plain,
( sP124
| sP98
| sP122
| sP74
| sP79
| sP127
| sP105
| sP96
| sP115
| sP99
| sP94
| sP78
| sP120
| sP73
| sP77
| sP87
| sP92
| e23 != h3(e13)
| sP101
| sP83
| sP112
| sP102
| sP118
| sP81
| sP97
| sP72
| sP104
| sP86
| sP107
| sP114
| sP68
| sP108
| sP119
| sP113
| sP117
| sP95
| sP106
| sP76
| sP70
| sP125
| sP67
| sP128
| sP69
| sP88
| sP84
| sP75
| sP80
| sP100
| sP103
| sP71
| sP111
| sP82
| sP91
| sP121
| sP93
| sP90
| sP110
| sP109
| sP123
| sP89
| sP66
| sP126
| sP85
| sP116 ),
inference(forward_demodulation,[],[f982,f312]) ).
fof(f982,plain,
( sP102
| sP86
| sP121
| sP79
| sP104
| sP98
| sP69
| sP112
| sP73
| sP125
| sP92
| sP68
| sP91
| sP122
| sP106
| sP108
| sP74
| sP77
| sP111
| sP105
| sP94
| sP124
| sP71
| sP85
| sP110
| sP116
| sP88
| sP76
| e23 != op2(e22,e22)
| sP70
| sP118
| sP115
| sP113
| sP72
| sP75
| sP83
| sP80
| sP119
| sP109
| sP84
| sP67
| sP117
| sP97
| sP93
| sP81
| sP127
| sP90
| sP82
| sP99
| sP114
| sP101
| sP107
| sP128
| sP95
| sP66
| sP89
| sP123
| sP103
| sP126
| sP100
| sP78
| sP87
| sP120
| sP96 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ( e20 = op2(e21,op2(e21,e20))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23)) )
| sP131
| sP130
| sP129 )
& ( ( e23 != op2(e22,e22)
& e22 = op2(e22,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23) )
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66 ) ),
inference(definition_folding,[],[f11,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88]) ).
fof(f88,plain,
( ( op2(e20,e20) != e23
& e23 = op2(e21,e21)
& e21 != op2(e21,e23)
& e20 = op2(e20,e23) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& e22 != op2(e22,e22) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e21 = op2(e21,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e23 != op2(e23,e23) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e22 = op2(e23,e23)
& e23 != op2(e23,e22)
& e20 = op2(e20,e22)
& op2(e20,e20) != e22 )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& e21 != op2(e21,e23)
& e23 = op2(e21,e21) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f95,plain,
( ( e23 = op2(e23,e22)
& e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f96,plain,
( ( e20 != op2(e20,e22)
& e21 = op2(e21,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f97,plain,
( ( e23 = op2(e23,e22)
& e23 != op2(e23,e22)
& e22 != op2(e23,e23)
& e22 = op2(e23,e23) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f99,plain,
( ( e20 != op2(e20,e23)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22)
& op2(e20,e20) = e23 )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f100,plain,
( ( e20 != op2(e21,e21)
& e21 = op2(e21,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f101,plain,
( ( e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f102,plain,
( ( e20 != op2(e20,e22)
& e23 = op2(e23,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f103,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e23 != op2(e23,e21) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f104,plain,
( ( e20 = op2(e20,e20)
& e23 = op2(e23,e20)
& e20 != op2(e20,e20)
& e20 != op2(e23,e23) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f105,plain,
( ( e22 = op2(e22,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 != op2(e22,e22) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f106,plain,
( ( e21 = op2(e21,e22)
& e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f107,plain,
( ( e20 = op2(e20,e22)
& op2(e20,e20) = e22
& e20 != op2(e20,e22)
& op2(e20,e20) != e22 )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f108,plain,
( ( e20 = op2(e20,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e23 != op2(e23,e23) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f109,plain,
( ( e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f110,plain,
( ( e20 != op2(e22,e22)
& e20 = op2(e22,e22)
& e22 = op2(e22,e20)
& e22 != op2(e22,e20) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f111,plain,
( ( e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e22 != op2(e22,e21)
& e20 = op2(e20,e21) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f112,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f113,plain,
( ( e20 != op2(e21,e21)
& e20 = op2(e21,e21)
& e21 = op2(e21,e20)
& e21 != op2(e21,e20) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f114,plain,
( ( e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f115,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f116,plain,
( ( e20 = op2(e20,e20)
& e22 != op2(e22,e20)
& e20 != op2(e20,e20)
& e20 = op2(e22,e22) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f117,plain,
( ( e20 != op2(e21,e21)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20)
& e21 = op2(e21,e20) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f118,plain,
( ( e20 = op2(e20,e23)
& e22 != op2(e22,e23)
& op2(e20,e20) != e23
& e23 = op2(e22,e22) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f119,plain,
( ( op2(e20,e20) != e22
& e20 = op2(e20,e22)
& e21 != op2(e21,e22)
& e22 = op2(e21,e21) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f121,plain,
( ( e21 != op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 = op2(e21,e21) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f122,plain,
( ( op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e20 = op2(e20,e22) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f123,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f124,plain,
( ( e20 = op2(e23,e23)
& e23 != op2(e23,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f125,plain,
( ( e23 != op2(e23,e23)
& e22 = op2(e22,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f126,plain,
( ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e21 = op2(e21,e23)
& e23 != op2(e21,e21) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f127,plain,
( ( e20 = op2(e20,e21)
& op2(e20,e20) != e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f128,plain,
( ( e20 != op2(e20,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) = e23 )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f129,plain,
( ( e20 != op2(e22,e22)
& e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 = op2(e23,e23) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f130,plain,
( ( e20 != op2(e20,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& op2(e20,e20) = e21 )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f131,plain,
( ( e22 != op2(e22,e22)
& e21 = op2(e21,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f132,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f133,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f134,plain,
( ( e20 = op2(e20,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& op2(e20,e20) != e21 )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f135,plain,
( ( e23 = op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 != op2(e23,e20) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f136,plain,
( ( e22 = op2(e22,e21)
& e22 != op2(e22,e21)
& e21 != op2(e22,e22)
& e21 = op2(e22,e22) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f137,plain,
( ( e23 != op2(e23,e21)
& e22 = op2(e22,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f138,plain,
( ( e21 != op2(e22,e22)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e22 = op2(e22,e21) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f139,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f140,plain,
( ( e20 != op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f141,plain,
( ( e23 = op2(e23,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f142,plain,
( ( e21 != op2(e21,e20)
& e20 != op2(e22,e22)
& e20 = op2(e21,e21)
& e22 = op2(e22,e20) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f143,plain,
( ( e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e21 != op2(e21,e20)
& e20 != op2(e20,e20) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f144,plain,
( ( e23 != op2(e23,e23)
& e21 != op2(e21,e23)
& e23 = op2(e23,e23)
& e23 = op2(e21,e21) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f145,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f146,plain,
( ( op2(e20,e20) != e21
& e20 = op2(e20,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21 )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f147,plain,
( ( e20 != op2(e20,e23)
& e21 = op2(e21,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f148,plain,
( ( e23 != op2(e23,e22)
& e22 != op2(e21,e21)
& e22 = op2(e23,e23)
& e21 = op2(e21,e22) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f149,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f151,plain,
( ( ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& e23 = op2(e23,op2(e23,e23))
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20))
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& e22 = op2(e23,op2(e23,e22))
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f152,plain,
( ( ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e22,op2(e22,e21))
& e23 = op2(e22,op2(e22,e23))
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) )
& e20 = op2(e22,op2(e22,e20))
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& e22 = op2(e22,op2(e22,e22)) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f153,plain,
( ( e20 = op2(e20,op2(e20,e20))
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& e23 = op2(e20,op2(e20,e23))
& e21 = op2(e20,op2(e20,e21))
& e22 = op2(e20,op2(e20,e22))
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f11,axiom,
( ( ( e20 = op2(e21,op2(e21,e20))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) != e21
| e20 = op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23)) )
| ( e20 = op2(e20,op2(e20,e20))
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& e23 = op2(e20,op2(e20,e23))
& e21 = op2(e20,op2(e20,e21))
& e22 = op2(e20,op2(e20,e22))
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ( ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e22,op2(e22,e21))
& e23 = op2(e22,op2(e22,e23))
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) )
& e20 = op2(e22,op2(e22,e20))
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& e22 = op2(e22,op2(e22,e22)) )
| ( ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& e23 = op2(e23,op2(e23,e23))
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20))
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& e22 = op2(e23,op2(e23,e22))
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) ) ) )
& ( ( e23 != op2(e22,e22)
& e22 = op2(e22,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23) )
| ( e22 = op2(e22,e22)
& e23 != op2(e23,e22)
& e22 != op2(e22,e22)
& e22 = op2(e23,e23) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 != op2(e21,e21)
& e22 = op2(e23,e23)
& e21 = op2(e21,e22) )
| ( e20 != op2(e20,e23)
& e21 = op2(e21,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21) )
| ( op2(e20,e20) != e21
& e20 = op2(e20,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21 )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23) )
| ( e23 != op2(e23,e23)
& e21 != op2(e21,e23)
& e23 = op2(e23,e23)
& e23 = op2(e21,e21) )
| ( e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e21 != op2(e21,e20)
& e20 != op2(e20,e20) )
| ( e21 != op2(e21,e20)
& e20 != op2(e22,e22)
& e20 = op2(e21,e21)
& e22 = op2(e22,e20) )
| ( e23 = op2(e23,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23) )
| ( e20 != op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e21 != op2(e22,e22)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e22 = op2(e22,e21) )
| ( e23 != op2(e23,e21)
& e22 = op2(e22,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22) )
| ( e22 = op2(e22,e21)
& e22 != op2(e22,e21)
& e21 != op2(e22,e22)
& e21 = op2(e22,e22) )
| ( e23 = op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 != op2(e23,e20) )
| ( e20 = op2(e20,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& op2(e20,e20) != e21 )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e21 = op2(e21,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21) )
| ( e20 != op2(e20,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& op2(e20,e20) = e21 )
| ( e20 != op2(e22,e22)
& e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 = op2(e23,e23) )
| ( e20 != op2(e20,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) = e23 )
| ( e20 = op2(e20,e21)
& op2(e20,e20) != e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e21 = op2(e21,e23)
& e23 != op2(e21,e21) )
| ( e23 != op2(e23,e23)
& e22 = op2(e22,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22) )
| ( e20 = op2(e23,e23)
& e23 != op2(e23,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e20 = op2(e20,e22) )
| ( e21 != op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 = op2(e21,e21) )
| ( e21 != op2(e21,e21)
& op2(e20,e20) = e21
& e21 = op2(e21,e21)
& e20 != op2(e20,e21) )
| ( op2(e20,e20) != e22
& e20 = op2(e20,e22)
& e21 != op2(e21,e22)
& e22 = op2(e21,e21) )
| ( e20 = op2(e20,e23)
& e22 != op2(e22,e23)
& op2(e20,e20) != e23
& e23 = op2(e22,e22) )
| ( e20 != op2(e21,e21)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20)
& e21 = op2(e21,e20) )
| ( e20 = op2(e20,e20)
& e22 != op2(e22,e20)
& e20 != op2(e20,e20)
& e20 = op2(e22,e22) )
| ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23) )
| ( e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e20 != op2(e21,e21)
& e20 = op2(e21,e21)
& e21 = op2(e21,e20)
& e21 != op2(e21,e20) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e22 != op2(e22,e21)
& e20 = op2(e20,e21) )
| ( e20 != op2(e22,e22)
& e20 = op2(e22,e22)
& e22 = op2(e22,e20)
& e22 != op2(e22,e20) )
| ( e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e20 = op2(e20,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e23 != op2(e23,e23) )
| ( e20 = op2(e20,e22)
& op2(e20,e20) = e22
& e20 != op2(e20,e22)
& op2(e20,e20) != e22 )
| ( e21 = op2(e21,e22)
& e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21) )
| ( e22 = op2(e22,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 != op2(e22,e22) )
| ( e20 = op2(e20,e20)
& e23 = op2(e23,e20)
& e20 != op2(e20,e20)
& e20 != op2(e23,e23) )
| ( e21 = op2(e21,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e23 != op2(e23,e21) )
| ( e20 != op2(e20,e22)
& e23 = op2(e23,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23) )
| ( e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ( e20 != op2(e21,e21)
& e21 = op2(e21,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 != op2(e20,e23)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22)
& op2(e20,e20) = e23 )
| ( e20 != op2(e20,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23)
& op2(e20,e20) = e23 )
| ( e23 = op2(e23,e22)
& e23 != op2(e23,e22)
& e22 != op2(e23,e23)
& e22 = op2(e23,e23) )
| ( e20 != op2(e20,e22)
& e21 = op2(e21,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21) )
| ( e23 = op2(e23,e22)
& e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23) )
| ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& e21 != op2(e21,e23)
& e23 = op2(e21,e21) )
| ( e22 = op2(e23,e23)
& e23 != op2(e23,e22)
& e20 = op2(e20,e22)
& op2(e20,e20) != e22 )
| ( e21 = op2(e21,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e23 != op2(e23,e23) )
| ( e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& e22 != op2(e22,e22) )
| ( op2(e20,e20) != e23
& e23 = op2(e21,e21)
& e21 != op2(e21,e23)
& e20 = op2(e20,e23) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f3825,plain,
( spl144_62
| ~ spl144_215 ),
inference(avatar_split_clause,[],[f411,f2212,f1468]) ).
fof(f2212,plain,
( spl144_215
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_215])]) ).
fof(f411,plain,
( ~ sP54
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e13 != op1(e13,e12)
& e10 = op1(e10,e12) )
| ~ sP54 ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e13 != op1(e13,e12)
& e10 = op1(e10,e12) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f3823,plain,
( ~ spl144_50
| spl144_431 ),
inference(avatar_split_clause,[],[f722,f3820,f1412]) ).
fof(f1412,plain,
( spl144_50
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_50])]) ).
fof(f722,plain,
( e20 = op2(e23,op2(e23,e20))
| ~ sP129 ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& e23 = op2(e23,op2(e23,e23))
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20))
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& e22 = op2(e23,op2(e23,e22))
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) ) )
| ~ sP129 ),
inference(nnf_transformation,[],[f151]) ).
fof(f3793,plain,
( spl144_220
| spl144_39
| spl144_236
| spl144_175
| spl144_176
| spl144_81
| spl144_228
| spl144_215
| spl144_85
| spl144_226
| spl144_34
| spl144_156
| spl144_216
| spl144_237
| spl144_219
| spl144_101
| spl144_108
| spl144_21
| spl144_217
| spl144_58
| spl144_191
| spl144_232
| spl144_87
| spl144_192
| spl144_126
| spl144_183
| spl144_227
| spl144_177
| spl144_165
| spl144_221
| spl144_61
| spl144_112
| spl144_118
| spl144_234
| spl144_161
| spl144_185
| spl144_239
| spl144_149
| spl144_155
| spl144_100
| spl144_225
| spl144_196
| spl144_105
| spl144_222
| spl144_53
| spl144_86
| spl144_230
| spl144_238
| spl144_229
| spl144_224
| spl144_233
| spl144_49
| spl144_202
| spl144_148
| spl144_218
| spl144_153
| spl144_231
| spl144_186
| spl144_93
| spl144_235
| spl144_195
| spl144_193
| spl144_212
| spl144_223 ),
inference(avatar_split_clause,[],[f650,f2244,f2197,f2095,f2107,f2292,f1609,f2062,f2276,f1890,f2224,f1865,f2144,f1407,f2284,f2248,f2268,f2304,f2272,f1576,f1425,f2240,f1670,f2112,f2252,f1643,f1901,f1870,f2308,f2058,f1933,f2288,f1735,f1703,f1463,f2236,f1952,f2013,f2260,f2048,f1773,f2090,f1581,f2280,f2085,f1448,f2220,f1282,f1684,f1648,f2228,f2300,f2216,f1906,f1340,f2256,f1571,f2212,f2264,f1552,f2008,f2002,f2296,f1363,f2232]) ).
fof(f2232,plain,
( spl144_220
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_220])]) ).
fof(f1363,plain,
( spl144_39
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_39])]) ).
fof(f2296,plain,
( spl144_236
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_236])]) ).
fof(f2002,plain,
( spl144_175
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_175])]) ).
fof(f2008,plain,
( spl144_176
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_176])]) ).
fof(f1552,plain,
( spl144_81
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_81])]) ).
fof(f2264,plain,
( spl144_228
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_228])]) ).
fof(f1571,plain,
( spl144_85
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_85])]) ).
fof(f2256,plain,
( spl144_226
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_226])]) ).
fof(f1340,plain,
( spl144_34
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_34])]) ).
fof(f1906,plain,
( spl144_156
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_156])]) ).
fof(f2216,plain,
( spl144_216
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_216])]) ).
fof(f2300,plain,
( spl144_237
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_237])]) ).
fof(f2228,plain,
( spl144_219
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_219])]) ).
fof(f1648,plain,
( spl144_101
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_101])]) ).
fof(f1684,plain,
( spl144_108
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_108])]) ).
fof(f1282,plain,
( spl144_21
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_21])]) ).
fof(f2220,plain,
( spl144_217
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_217])]) ).
fof(f1448,plain,
( spl144_58
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_58])]) ).
fof(f2085,plain,
( spl144_191
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_191])]) ).
fof(f2280,plain,
( spl144_232
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_232])]) ).
fof(f1581,plain,
( spl144_87
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_87])]) ).
fof(f2090,plain,
( spl144_192
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_192])]) ).
fof(f1773,plain,
( spl144_126
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_126])]) ).
fof(f2260,plain,
( spl144_227
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_227])]) ).
fof(f2013,plain,
( spl144_177
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_177])]) ).
fof(f1952,plain,
( spl144_165
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_165])]) ).
fof(f2236,plain,
( spl144_221
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_221])]) ).
fof(f1463,plain,
( spl144_61
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_61])]) ).
fof(f1703,plain,
( spl144_112
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_112])]) ).
fof(f1735,plain,
( spl144_118
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_118])]) ).
fof(f2288,plain,
( spl144_234
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_234])]) ).
fof(f1933,plain,
( spl144_161
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_161])]) ).
fof(f2308,plain,
( spl144_239
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_239])]) ).
fof(f1870,plain,
( spl144_149
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_149])]) ).
fof(f1643,plain,
( spl144_100
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_100])]) ).
fof(f2252,plain,
( spl144_225
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_225])]) ).
fof(f2112,plain,
( spl144_196
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_196])]) ).
fof(f1670,plain,
( spl144_105
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_105])]) ).
fof(f2240,plain,
( spl144_222
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_222])]) ).
fof(f1425,plain,
( spl144_53
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_53])]) ).
fof(f1576,plain,
( spl144_86
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_86])]) ).
fof(f2272,plain,
( spl144_230
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_230])]) ).
fof(f2304,plain,
( spl144_238
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_238])]) ).
fof(f2268,plain,
( spl144_229
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_229])]) ).
fof(f2248,plain,
( spl144_224
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_224])]) ).
fof(f2284,plain,
( spl144_233
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_233])]) ).
fof(f2144,plain,
( spl144_202
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_202])]) ).
fof(f1865,plain,
( spl144_148
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_148])]) ).
fof(f2224,plain,
( spl144_218
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_218])]) ).
fof(f1890,plain,
( spl144_153
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_153])]) ).
fof(f2276,plain,
( spl144_231
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_231])]) ).
fof(f2062,plain,
( spl144_186
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_186])]) ).
fof(f1609,plain,
( spl144_93
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_93])]) ).
fof(f2292,plain,
( spl144_235
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_235])]) ).
fof(f2107,plain,
( spl144_195
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_195])]) ).
fof(f2095,plain,
( spl144_193
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_193])]) ).
fof(f2197,plain,
( spl144_212
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_212])]) ).
fof(f2244,plain,
( spl144_223
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_223])]) ).
fof(f650,plain,
( sP65
| sP27
| sP30
| sP41
| sP29
| sP44
| sP64
| sP11
| sP33
| sP8
| sP22
| sP36
| sP62
| sP55
| sP38
| sP58
| sP16
| sP32
| sP37
| sP49
| sP12
| sP35
| sP63
| sP39
| sP20
| sP3
| sP60
| sP26
| e10 = op1(e12,e12)
| sP34
| sP23
| sP61
| sP52
| sP5
| sP50
| sP47
| sP28
| sP56
| sP17
| sP40
| sP15
| sP43
| sP4
| sP19
| sP31
| sP6
| sP9
| sP51
| sP59
| sP25
| sP14
| sP46
| sP21
| sP48
| sP13
| sP53
| sP54
| sP45
| sP10
| sP42
| sP18
| sP7
| sP24
| sP57 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ( e10 != op1(e11,e11)
& e10 = op1(e12,e12)
& e11 = op1(e11,e10)
& e12 != op1(e12,e10) )
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3 )
& ( ( e10 = op1(e12,op1(e12,e10))
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& e12 = op1(e12,op1(e12,e12))
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e12,op1(e12,e11))
& e13 = op1(e12,op1(e12,e13))
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,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]) ).
fof(f21,plain,
( ( e10 = op1(e10,op1(e10,e10))
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e13 = op1(e10,op1(e10,e13))
& e11 = op1(e10,op1(e10,e11))
& e12 = op1(e10,op1(e10,e12))
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e11 = op1(e11,op1(e11,e11))
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& e10 = op1(e11,op1(e11,e10))
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& e12 = op1(e11,op1(e11,e12))
& e13 = op1(e11,op1(e11,e13)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f25,plain,
( ( e12 != op1(e12,e13)
& op1(e10,e10) != e13
& e13 = op1(e12,e12)
& e10 = op1(e10,e13) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e10 = op1(e11,e11)
& e11 != op1(e11,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e12 != op1(e12,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13)
& e13 = op1(e12,e12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e13 = op1(e13,e12)
& e12 != op1(e13,e13)
& e12 = op1(e11,e11)
& e11 != op1(e11,e12) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e12 = op1(e12,e11)
& op1(e10,e10) = e11
& e10 != op1(e10,e11)
& e11 != op1(e12,e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e13 != op1(e13,e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e11 != op1(e11,e13)
& e11 = op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e11,e11) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 != op1(e12,e12)
& e12 = op1(e13,e13) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 = op1(e13,e13) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( op1(e10,e10) != e11
& e11 = op1(e13,e13)
& e13 != op1(e13,e11)
& e10 = op1(e10,e11) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e11 != op1(e11,e11)
& e11 != op1(e12,e12)
& e11 = op1(e11,e11)
& e12 = op1(e12,e11) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f40,plain,
( ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e11 != op1(e11,e13)
& e13 = op1(e11,e11) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f41,plain,
( ( e10 != op1(e10,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f42,plain,
( ( e11 != op1(e11,e11)
& e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f43,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f44,plain,
( ( e10 != op1(e13,e13)
& e10 = op1(e13,e13)
& e13 = op1(e13,e10)
& e13 != op1(e13,e10) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f45,plain,
( ( e12 != op1(e13,e13)
& e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& op1(e10,e10) = e12 )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f46,plain,
( ( e11 != op1(e11,e10)
& e11 = op1(e11,e10)
& e10 != op1(e11,e11)
& e10 = op1(e11,e11) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f47,plain,
( ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f48,plain,
( ( e11 = op1(e13,e13)
& e12 = op1(e12,e11)
& e13 != op1(e13,e11)
& e11 != op1(e12,e12) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f49,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f50,plain,
( ( e11 = op1(e11,e11)
& e10 = op1(e10,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11 )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f51,plain,
( ( e12 = op1(e12,e10)
& e12 != op1(e12,e10)
& e10 != op1(e12,e12)
& e10 = op1(e12,e12) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f52,plain,
( ( op1(e10,e10) != e12
& e10 = op1(e10,e12)
& e11 != op1(e11,e12)
& e12 = op1(e11,e11) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f53,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f54,plain,
( ( e10 != op1(e10,e10)
& e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e13 = op1(e13,e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f55,plain,
( ( e12 != op1(e11,e11)
& e11 = op1(e11,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f56,plain,
( ( e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f57,plain,
( ( e11 = op1(e11,e11)
& e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& e11 != op1(e13,e13) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f58,plain,
( ( op1(e10,e10) != e11
& e11 = op1(e12,e12)
& e10 = op1(e10,e11)
& e12 != op1(e12,e11) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f59,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f60,plain,
( ( e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e12 = op1(e13,e13)
& e13 != op1(e13,e12) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f61,plain,
( ( e11 = op1(e11,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f62,plain,
( ( e13 = op1(e11,e11)
& e11 != op1(e11,e13)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13 )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f63,plain,
( ( e11 != op1(e12,e12)
& e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f64,plain,
( ( e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f65,plain,
( ( e13 != op1(e13,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e13,e13) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f66,plain,
( ( e13 = op1(e13,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e10 != op1(e10,e11) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f67,plain,
( ( e10 = op1(e10,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13 )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f68,plain,
( ( e13 != op1(e13,e11)
& e11 != op1(e13,e13)
& e11 = op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f69,plain,
( ( e13 != op1(e13,e12)
& e13 = op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f70,plain,
( ( e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e10 != op1(e10,e13)
& op1(e10,e10) = e13 )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f71,plain,
( ( e10 != op1(e10,e10)
& e10 != op1(e12,e12)
& e10 = op1(e10,e10)
& e12 = op1(e12,e10) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f72,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f73,plain,
( ( e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f74,plain,
( ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f76,plain,
( ( op1(e10,e10) = e13
& e10 != op1(e10,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f77,plain,
( ( e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 != op1(e10,e10) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f78,plain,
( ( e10 != op1(e10,e13)
& e12 = op1(e12,e13)
& e13 != op1(e12,e12)
& op1(e10,e10) = e13 )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f79,plain,
( ( e10 = op1(e10,e12)
& op1(e10,e10) != e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f80,plain,
( ( e10 != op1(e10,e11)
& e10 = op1(e10,e11)
& op1(e10,e10) != e11
& op1(e10,e10) = e11 )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f81,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f82,plain,
( ( e11 != op1(e13,e13)
& e11 = op1(e12,e12)
& e13 = op1(e13,e11)
& e12 != op1(e12,e11) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f84,plain,
( ( e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f85,plain,
( ( e10 != op1(e12,e12)
& e13 != op1(e13,e10)
& e12 = op1(e12,e10)
& e10 = op1(e13,e13) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f86,plain,
( ( e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e11 != op1(e11,e10)
& e13 = op1(e13,e10) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f10,axiom,
( ( ( e10 != op1(e11,e11)
& e10 = op1(e12,e12)
& e11 = op1(e11,e10)
& e12 != op1(e12,e10) )
| ( e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e11 != op1(e11,e10)
& e13 = op1(e13,e10) )
| ( e10 != op1(e12,e12)
& e13 != op1(e13,e10)
& e12 = op1(e12,e10)
& e10 = op1(e13,e13) )
| ( e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e11 != op1(e11,e13)
& e13 = op1(e13,e13)
& e13 = op1(e11,e11) )
| ( e11 != op1(e13,e13)
& e11 = op1(e12,e12)
& e13 = op1(e13,e11)
& e12 != op1(e12,e11) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ( e10 != op1(e10,e11)
& e10 = op1(e10,e11)
& op1(e10,e10) != e11
& op1(e10,e10) = e11 )
| ( e10 = op1(e10,e12)
& op1(e10,e10) != e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 != op1(e10,e13)
& e12 = op1(e12,e13)
& e13 != op1(e12,e12)
& op1(e10,e10) = e13 )
| ( e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 != op1(e10,e10) )
| ( op1(e10,e10) = e13
& e10 != op1(e10,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e13 != op1(e13,e12)
& e10 = op1(e10,e12) )
| ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e10 != op1(e10,e10)
& e10 != op1(e12,e12)
& e10 = op1(e10,e10)
& e12 = op1(e12,e10) )
| ( e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e10 != op1(e10,e13)
& op1(e10,e10) = e13 )
| ( e13 != op1(e13,e12)
& e13 = op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13) )
| ( e13 != op1(e13,e11)
& e11 != op1(e13,e13)
& e11 = op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e10 = op1(e10,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13 )
| ( e13 = op1(e13,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e10 != op1(e10,e11) )
| ( e13 != op1(e13,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e13,e13) )
| ( e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ( e11 != op1(e12,e12)
& e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12) )
| ( e13 = op1(e11,e11)
& e11 != op1(e11,e13)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13 )
| ( e11 = op1(e11,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11) )
| ( e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e12 = op1(e13,e13)
& e13 != op1(e13,e12) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 != op1(e11,e11) )
| ( op1(e10,e10) != e11
& e11 = op1(e12,e12)
& e10 = op1(e10,e11)
& e12 != op1(e12,e11) )
| ( e11 = op1(e11,e11)
& e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& e11 != op1(e13,e13) )
| ( e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e12 != op1(e11,e11)
& e11 = op1(e11,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12 )
| ( e10 != op1(e10,e10)
& e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ( op1(e10,e10) != e12
& e10 = op1(e10,e12)
& e11 != op1(e11,e12)
& e12 = op1(e11,e11) )
| ( e12 = op1(e12,e10)
& e12 != op1(e12,e10)
& e10 != op1(e12,e12)
& e10 = op1(e12,e12) )
| ( e11 = op1(e11,e11)
& e10 = op1(e10,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11 )
| ( e10 != op1(e10,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12)
& op1(e10,e10) = e12 )
| ( e11 = op1(e13,e13)
& e12 = op1(e12,e11)
& e13 != op1(e13,e11)
& e11 != op1(e12,e12) )
| ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13) )
| ( e11 != op1(e11,e10)
& e11 = op1(e11,e10)
& e10 != op1(e11,e11)
& e10 = op1(e11,e11) )
| ( e12 != op1(e13,e13)
& e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& op1(e10,e10) = e12 )
| ( e10 != op1(e13,e13)
& e10 = op1(e13,e13)
& e13 = op1(e13,e10)
& e13 != op1(e13,e10) )
| ( e11 != op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12) )
| ( e11 != op1(e11,e11)
& e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11) )
| ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e11 != op1(e11,e13)
& e13 = op1(e11,e11) )
| ( e11 != op1(e11,e11)
& e11 != op1(e12,e12)
& e11 = op1(e11,e11)
& e12 = op1(e12,e11) )
| ( e13 != op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( op1(e10,e10) != e11
& e11 = op1(e13,e13)
& e13 != op1(e13,e11)
& e10 = op1(e10,e11) )
| ( e13 != op1(e13,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 = op1(e13,e13) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ( e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 != op1(e12,e12)
& e12 = op1(e13,e13) )
| ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13) )
| ( e11 != op1(e11,e13)
& e11 = op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e11,e11) )
| ( e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e13 != op1(e13,e10) )
| ( e12 = op1(e12,e11)
& op1(e10,e10) = e11
& e10 != op1(e10,e11)
& e11 != op1(e12,e12) )
| ( e13 = op1(e13,e12)
& e12 != op1(e13,e13)
& e12 = op1(e11,e11)
& e11 != op1(e11,e12) )
| ( e12 != op1(e12,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13)
& e13 = op1(e12,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ( e10 = op1(e11,e11)
& e11 != op1(e11,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ( e12 != op1(e12,e13)
& op1(e10,e10) != e13
& e13 = op1(e12,e12)
& e10 = op1(e10,e13) )
| ( e11 = op1(e11,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11) ) )
& ( ( e10 = op1(e12,op1(e12,e10))
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& e12 = op1(e12,op1(e12,e12))
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e12,op1(e12,e11))
& e13 = op1(e12,op1(e12,e13))
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) ) )
| ( e11 = op1(e13,op1(e13,e11))
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& e12 = op1(e13,op1(e13,e12))
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& e13 = op1(e13,op1(e13,e13))
& e10 = op1(e13,op1(e13,e10))
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) ) )
| ( e11 = op1(e11,op1(e11,e11))
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& e10 = op1(e11,op1(e11,e10))
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& e12 = op1(e11,op1(e11,e12))
& e13 = op1(e11,op1(e11,e13)) )
| ( e10 = op1(e10,op1(e10,e10))
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e13 = op1(e10,op1(e10,e13))
& e11 = op1(e10,op1(e10,e11))
& e12 = op1(e10,op1(e10,e12))
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f3792,plain,
( spl144_48
| ~ spl144_230 ),
inference(avatar_split_clause,[],[f498,f2272,f1403]) ).
fof(f498,plain,
( ~ sP32
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) = e13
& e10 != op1(e10,e13) )
| ~ sP32 ),
inference(nnf_transformation,[],[f53]) ).
fof(f3791,plain,
( spl144_383
| ~ spl144_228 ),
inference(avatar_split_clause,[],[f3790,f2264,f3154]) ).
fof(f3790,plain,
( ~ sP45
| e11 = e13 ),
inference(forward_demodulation,[],[f446,f991]) ).
fof(f446,plain,
( op1(e10,e10) = e11
| ~ sP45 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e13 = op1(e13,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e10 != op1(e10,e11) )
| ~ sP45 ),
inference(nnf_transformation,[],[f66]) ).
fof(f3786,plain,
( spl144_1
| ~ spl144_233 ),
inference(avatar_split_clause,[],[f404,f2284,f1195]) ).
fof(f404,plain,
( ~ sP55
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( op1(e10,e10) = e13
& e10 != op1(e10,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP55 ),
inference(nnf_transformation,[],[f76]) ).
fof(f3785,plain,
( spl144_240
| spl144_308
| spl144_47
| spl144_351
| spl144_280
| spl144_281
| spl144_332
| spl144_19
| spl144_16
| spl144_90
| spl144_278
| spl144_314
| spl144_158
| spl144_210
| spl144_356
| spl144_353
| spl144_114
| spl144_200
| spl144_37
| spl144_159
| spl144_160
| spl144_119
| spl144_115
| spl144_302
| spl144_346
| spl144_352
| spl144_213
| spl144_313
| spl144_30
| spl144_17
| spl144_147
| spl144_344
| spl144_152
| spl144_203
| spl144_44
| spl144_357
| spl144_78
| spl144_5
| spl144_211
| spl144_417
| spl144_145
| spl144_350
| spl144_83
| spl144_184
| spl144_110
| spl144_54
| spl144_338
| spl144_104
| spl144_354
| spl144_98
| spl144_309
| spl144_36
| spl144_32
| spl144_349
| spl144_106
| spl144_336
| spl144_311
| spl144_122
| spl144_163
| spl144_355
| spl144_337
| spl144_180
| spl144_59
| spl144_84 ),
inference(avatar_split_clause,[],[f3784,f1566,f1454,f2033,f2810,f2925,f1943,f1755,f2638,f2804,f1675,f2901,f1331,f1349,f2628,f1634,f2921,f1663,f2818,f1430,f1693,f2053,f1561,f2905,f1851,f3600,f2189,f1212,f1539,f2933,f1385,f2150,f1885,f2856,f1860,f1264,f1322,f2648,f2202,f2913,f2884,f2589,f1720,f1740,f1927,f1922,f1354,f2132,f1715,f2917,f2929,f2184,f1917,f2656,f2478,f1595,f1259,f1273,f2773,f2497,f2492,f2909,f1398,f2620,f2313]) ).
fof(f3784,plain,
( sP105
| sP99
| sP80
| sP91
| sP82
| sP98
| sP109
| sP72
| sP95
| sP78
| sP123
| sP85
| sP127
| sP110
| sP103
| sP89
| sP126
| sP83
| sP111
| sP84
| sP74
| sP112
| sP115
| sP108
| e23 = h3(e13)
| sP116
| sP117
| sP114
| sP76
| sP101
| sP86
| sP122
| sP125
| sP75
| sP121
| sP90
| sP113
| sP79
| sP118
| sP66
| sP128
| sP119
| sP96
| sP107
| sP88
| sP120
| sP124
| sP70
| sP77
| sP87
| sP92
| sP81
| sP94
| sP106
| sP69
| sP93
| sP97
| sP68
| sP67
| sP71
| sP73
| sP100
| sP104
| sP102 ),
inference(forward_demodulation,[],[f980,f312]) ).
fof(f980,plain,
( sP113
| sP78
| sP84
| sP117
| sP91
| sP85
| sP97
| sP118
| sP99
| sP69
| sP94
| sP95
| sP109
| sP96
| sP90
| sP119
| sP127
| sP93
| sP81
| sP116
| sP83
| sP92
| sP124
| sP104
| e23 = op2(e22,e22)
| sP108
| sP86
| sP126
| sP87
| sP106
| sP123
| sP66
| sP112
| sP73
| sP114
| sP128
| sP70
| sP88
| sP79
| sP107
| sP71
| sP101
| sP120
| sP98
| sP89
| sP100
| sP80
| sP115
| sP77
| sP121
| sP68
| sP122
| sP111
| sP75
| sP74
| sP102
| sP82
| sP76
| sP103
| sP125
| sP72
| sP67
| sP110
| sP105 ),
inference(cnf_transformation,[],[f154]) ).
fof(f3783,plain,
( spl144_394
| ~ spl144_122 ),
inference(avatar_split_clause,[],[f3782,f1755,f3292]) ).
fof(f3782,plain,
( ~ sP109
| e22 = h3(e13) ),
inference(forward_demodulation,[],[f804,f312]) ).
fof(f804,plain,
( ~ sP109
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( e22 != op2(e22,e22)
& e21 = op2(e21,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21) )
| ~ sP109 ),
inference(nnf_transformation,[],[f131]) ).
fof(f3775,plain,
( ~ spl144_78
| ~ spl144_214 ),
inference(avatar_split_clause,[],[f785,f2206,f1539]) ).
fof(f785,plain,
( e22 != op2(e22,e21)
| ~ sP114 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ( e22 = op2(e22,e21)
& e22 != op2(e22,e21)
& e21 != op2(e22,e22)
& e21 = op2(e22,e22) )
| ~ sP114 ),
inference(nnf_transformation,[],[f136]) ).
fof(f3773,plain,
( ~ spl144_84
| ~ spl144_29 ),
inference(avatar_split_clause,[],[f3772,f1318,f1566]) ).
fof(f3772,plain,
( e21 != h2(e13)
| ~ sP105 ),
inference(forward_demodulation,[],[f820,f1049]) ).
fof(f820,plain,
( ~ sP105
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( e20 = op2(e20,e21)
& op2(e20,e20) != e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP105 ),
inference(nnf_transformation,[],[f127]) ).
fof(f3770,plain,
( ~ spl144_126
| spl144_1 ),
inference(avatar_split_clause,[],[f467,f1195,f1773]) ).
fof(f467,plain,
( e11 = op1(e11,e13)
| ~ sP40 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e11 = op1(e11,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11) )
| ~ sP40 ),
inference(nnf_transformation,[],[f61]) ).
fof(f3762,plain,
( spl144_157
| spl144_3
| spl144_331
| spl144_62 ),
inference(avatar_split_clause,[],[f1189,f1468,f2763,f1203,f1911]) ).
fof(f1189,plain,
( e12 = op1(e13,e13)
| e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3761,plain,
( spl144_402
| ~ spl144_90 ),
inference(avatar_split_clause,[],[f3760,f1595,f3372]) ).
fof(f3760,plain,
( ~ sP69
| e22 = h4(e13) ),
inference(forward_demodulation,[],[f966,f655]) ).
fof(f966,plain,
( e22 = op2(e23,e23)
| ~ sP69 ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
( ( e22 = op2(e23,e23)
& e23 != op2(e23,e22)
& e20 = op2(e20,e22)
& op2(e20,e20) != e22 )
| ~ sP69 ),
inference(nnf_transformation,[],[f91]) ).
fof(f3757,plain,
( ~ spl144_191
| spl144_94 ),
inference(avatar_split_clause,[],[f548,f1614,f2085]) ).
fof(f548,plain,
( e13 = op1(e11,e11)
| ~ sP19 ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e11 != op1(e11,e13)
& e13 = op1(e11,e11) )
| ~ sP19 ),
inference(nnf_transformation,[],[f40]) ).
fof(f3743,plain,
( spl144_333
| ~ spl144_184 ),
inference(avatar_split_clause,[],[f3742,f2053,f2782]) ).
fof(f3742,plain,
( ~ sP74
| e22 = h1(e13) ),
inference(forward_demodulation,[],[f944,f994]) ).
fof(f944,plain,
( ~ sP74
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
( ( e20 != op2(e20,e22)
& e21 = op2(e21,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21) )
| ~ sP74 ),
inference(nnf_transformation,[],[f96]) ).
fof(f3741,plain,
( spl144_173
| spl144_424
| spl144_50
| spl144_181 ),
inference(avatar_split_clause,[],[f990,f2038,f1412,f3738,f1993]) ).
fof(f1993,plain,
( spl144_173
<=> sP131 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_173])]) ).
fof(f2038,plain,
( spl144_181
<=> sP130 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_181])]) ).
fof(f990,plain,
( sP130
| sP129
| e20 = op2(e21,op2(e21,e20))
| sP131 ),
inference(cnf_transformation,[],[f154]) ).
fof(f3729,plain,
( spl144_361
| ~ spl144_17 ),
inference(avatar_split_clause,[],[f3728,f1264,f2969]) ).
fof(f3728,plain,
( ~ sP121
| e20 = h1(e13) ),
inference(forward_demodulation,[],[f757,f994]) ).
fof(f757,plain,
( e20 = op2(e20,e20)
| ~ sP121 ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ( e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e21 != op2(e21,e20)
& e20 != op2(e20,e20) )
| ~ sP121 ),
inference(nnf_transformation,[],[f143]) ).
fof(f3727,plain,
( ~ spl144_202
| ~ spl144_199 ),
inference(avatar_split_clause,[],[f480,f2127,f2144]) ).
fof(f480,plain,
( e11 != op1(e13,e13)
| ~ sP36 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e11 = op1(e11,e11)
& e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& e11 != op1(e13,e13) )
| ~ sP36 ),
inference(nnf_transformation,[],[f57]) ).
fof(f3726,plain,
( spl144_103
| ~ spl144_309 ),
inference(avatar_split_clause,[],[f3725,f2628,f1659]) ).
fof(f3725,plain,
( ~ sP110
| e22 = h2(e13) ),
inference(forward_demodulation,[],[f801,f1049]) ).
fof(f801,plain,
( e22 = op2(e21,e21)
| ~ sP110 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP110 ),
inference(nnf_transformation,[],[f132]) ).
fof(f3724,plain,
( spl144_123
| spl144_28
| spl144_310
| spl144_11 ),
inference(avatar_split_clause,[],[f1062,f1238,f2633,f1312,f1760]) ).
fof(f2633,plain,
( spl144_310
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_310])]) ).
fof(f1062,plain,
( e10 = op1(e10,e12)
| e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( e12 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10)
| e11 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11) )
& ( e12 = op1(e10,e12)
| e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e13
| op1(e10,e10) = e11
| e10 = op1(e10,e10) )
& ( e10 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13) )
& ( e10 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e10 = op1(e12,e12)
| e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e13 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13) )
& ( e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10) )
& ( e12 = op1(e12,e11)
| e10 = op1(e12,e11)
| e13 = op1(e12,e11)
| e11 = op1(e12,e11) )
& ( e12 = op1(e12,e13)
| e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12)
| e12 = op1(e13,e12) )
& ( e10 = op1(e13,e10)
| e11 = op1(e13,e10)
| e13 = op1(e13,e10)
| e12 = op1(e13,e10) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e10 = op1(e11,e12)
| e11 = op1(e11,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f3721,plain,
~ spl144_8,
inference(avatar_split_clause,[],[f3720,f1225]) ).
fof(f1225,plain,
( spl144_8
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_8])]) ).
fof(f3720,plain,
e13 != op1(e12,e10),
inference(forward_demodulation,[],[f327,f991]) ).
fof(f327,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3719,plain,
( spl144_99
| ~ spl144_353 ),
inference(avatar_split_clause,[],[f933,f2917,f1638]) ).
fof(f933,plain,
( ~ sP77
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ( e20 != op2(e20,e23)
& e22 = op2(e22,e23)
& e23 != op2(e22,e22)
& op2(e20,e20) = e23 )
| ~ sP77 ),
inference(nnf_transformation,[],[f99]) ).
fof(f3718,plain,
( ~ spl144_25
| ~ spl144_229 ),
inference(avatar_split_clause,[],[f393,f2268,f1300]) ).
fof(f393,plain,
( ~ sP58
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e10 = op1(e10,e12)
& op1(e10,e10) != e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP58 ),
inference(nnf_transformation,[],[f79]) ).
fof(f3715,plain,
( spl144_379
| spl144_68
| spl144_417
| spl144_154 ),
inference(avatar_split_clause,[],[f3714,f1896,f3600,f1496,f3115]) ).
fof(f3714,plain,
( e23 = op2(e23,e22)
| e23 = h3(e13)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22) ),
inference(forward_demodulation,[],[f1155,f312]) ).
fof(f1155,plain,
( e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e20,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3712,plain,
( ~ spl144_349
| spl144_45 ),
inference(avatar_split_clause,[],[f748,f1389,f2901]) ).
fof(f748,plain,
( e23 = op2(e23,e20)
| ~ sP123 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e23 = op2(e23,e20)
& e20 != op2(e23,e23) )
| ~ sP123 ),
inference(nnf_transformation,[],[f145]) ).
fof(f3706,plain,
( ~ spl144_36
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f3705,f3436,f1349]) ).
fof(f3705,plain,
( e21 != h4(e13)
| ~ sP127 ),
inference(forward_demodulation,[],[f731,f655]) ).
fof(f731,plain,
( ~ sP127
| e21 != op2(e23,e23) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ~ sP127 ),
inference(nnf_transformation,[],[f149]) ).
fof(f3690,plain,
~ spl144_198,
inference(avatar_split_clause,[],[f3689,f2121]) ).
fof(f2121,plain,
( spl144_198
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_198])]) ).
fof(f3689,plain,
e13 != op1(e11,e10),
inference(forward_demodulation,[],[f349,f991]) ).
fof(f349,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3683,plain,
( ~ spl144_355
| spl144_45 ),
inference(avatar_split_clause,[],[f913,f1389,f2925]) ).
fof(f913,plain,
( e23 = op2(e23,e20)
| ~ sP82 ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ( e20 = op2(e20,e20)
& e23 = op2(e23,e20)
& e20 != op2(e20,e20)
& e20 != op2(e23,e23) )
| ~ sP82 ),
inference(nnf_transformation,[],[f104]) ).
fof(f3679,plain,
( spl144_361
| ~ spl144_314 ),
inference(avatar_split_clause,[],[f3678,f2656,f2969]) ).
fof(f3678,plain,
( ~ sP94
| e20 = h1(e13) ),
inference(forward_demodulation,[],[f866,f994]) ).
fof(f866,plain,
( ~ sP94
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( e20 = op2(e20,e20)
& e22 != op2(e22,e20)
& e20 != op2(e20,e20)
& e20 = op2(e22,e22) )
| ~ sP94 ),
inference(nnf_transformation,[],[f116]) ).
fof(f3677,plain,
( ~ spl144_337
| ~ spl144_116 ),
inference(avatar_split_clause,[],[f875,f1724,f2810]) ).
fof(f875,plain,
( e21 != op2(e21,e20)
| ~ sP91 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
( ( e20 != op2(e21,e21)
& e20 = op2(e21,e21)
& e21 = op2(e21,e20)
& e21 != op2(e21,e20) )
| ~ sP91 ),
inference(nnf_transformation,[],[f113]) ).
fof(f3676,plain,
( spl144_15
| spl144_35
| spl144_154
| spl144_45 ),
inference(avatar_split_clause,[],[f1142,f1389,f1896,f1345,f1255]) ).
fof(f1142,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3675,plain,
( ~ spl144_350
| ~ spl144_421 ),
inference(avatar_split_clause,[],[f3674,f3663,f2905]) ).
fof(f3674,plain,
( e21 != h3(e13)
| ~ sP115 ),
inference(forward_demodulation,[],[f779,f312]) ).
fof(f779,plain,
( e21 != op2(e22,e22)
| ~ sP115 ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ( e23 != op2(e23,e21)
& e22 = op2(e22,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22) )
| ~ sP115 ),
inference(nnf_transformation,[],[f137]) ).
fof(f3673,plain,
~ spl144_153,
inference(avatar_split_clause,[],[f3672,f1890]) ).
fof(f3672,plain,
~ sP33,
inference(subsumption_resolution,[],[f3671,f660]) ).
fof(f3671,plain,
( e10 = e13
| ~ sP33 ),
inference(forward_demodulation,[],[f493,f991]) ).
fof(f493,plain,
( ~ sP33
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e10 != op1(e10,e10)
& e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e13 = op1(e13,e10) )
| ~ sP33 ),
inference(nnf_transformation,[],[f54]) ).
fof(f3670,plain,
( ~ spl144_7
| ~ spl144_239 ),
inference(avatar_split_clause,[],[f523,f2308,f1221]) ).
fof(f523,plain,
( ~ sP26
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( ( e13 != op1(e12,e12)
& e12 = op1(e12,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13) )
| ~ sP26 ),
inference(nnf_transformation,[],[f47]) ).
fof(f3669,plain,
( ~ spl144_163
| spl144_395 ),
inference(avatar_split_clause,[],[f3668,f3307,f1943]) ).
fof(f3668,plain,
( e21 = h1(e13)
| ~ sP98 ),
inference(forward_demodulation,[],[f849,f994]) ).
fof(f849,plain,
( ~ sP98
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f267]) ).
fof(f3654,plain,
( ~ spl144_183
| spl144_48 ),
inference(avatar_split_clause,[],[f556,f1403,f2048]) ).
fof(f556,plain,
( e13 = op1(e13,e13)
| ~ sP17 ),
inference(cnf_transformation,[],[f216]) ).
fof(f3651,plain,
( ~ spl144_186
| spl144_306 ),
inference(avatar_split_clause,[],[f368,f2610,f2062]) ).
fof(f368,plain,
( e10 = op1(e13,e13)
| ~ sP64 ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( e10 != op1(e12,e12)
& e13 != op1(e13,e10)
& e12 = op1(e12,e10)
& e10 = op1(e13,e13) )
| ~ sP64 ),
inference(nnf_transformation,[],[f85]) ).
fof(f3650,plain,
( ~ spl144_177
| spl144_11 ),
inference(avatar_split_clause,[],[f513,f1238,f2013]) ).
fof(f513,plain,
( e10 = op1(e10,e12)
| ~ sP28 ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP28 ),
inference(nnf_transformation,[],[f49]) ).
fof(f3649,plain,
( ~ spl144_100
| spl144_383 ),
inference(avatar_split_clause,[],[f3648,f3154,f1643]) ).
fof(f3648,plain,
( e11 = e13
| ~ sP20 ),
inference(forward_demodulation,[],[f545,f991]) ).
fof(f545,plain,
( op1(e10,e10) = e11
| ~ sP20 ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( ( e10 != op1(e10,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11) )
| ~ sP20 ),
inference(nnf_transformation,[],[f41]) ).
fof(f3646,plain,
( ~ spl144_64
| spl144_419 ),
inference(avatar_split_clause,[],[f618,f3643,f1476]) ).
fof(f618,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ sP2 ),
inference(cnf_transformation,[],[f231]) ).
fof(f3641,plain,
( ~ spl144_408
| spl144_305
| ~ spl144_173 ),
inference(avatar_split_clause,[],[f3640,f1993,f2604,f3465]) ).
fof(f3640,plain,
( ~ sP131
| e22 = op2(e22,e20)
| e20 != h3(e13) ),
inference(forward_demodulation,[],[f704,f312]) ).
fof(f704,plain,
( ~ sP131
| e20 != op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e20 = op2(e20,op2(e20,e20))
& ( e20 != op2(e23,e23)
| e23 = op2(e23,e20) )
& e23 = op2(e20,op2(e20,e23))
& e21 = op2(e20,op2(e20,e21))
& e22 = op2(e20,op2(e20,e22))
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) ) )
| ~ sP131 ),
inference(nnf_transformation,[],[f153]) ).
fof(f3639,plain,
( ~ spl144_219
| ~ spl144_60 ),
inference(avatar_split_clause,[],[f527,f1459,f2228]) ).
fof(f527,plain,
( e11 != op1(e11,e10)
| ~ sP25 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ( e11 != op1(e11,e10)
& e11 = op1(e11,e10)
& e10 != op1(e11,e11)
& e10 = op1(e11,e11) )
| ~ sP25 ),
inference(nnf_transformation,[],[f46]) ).
fof(f3637,plain,
( spl144_309
| spl144_158
| spl144_159
| spl144_240
| spl144_180
| spl144_119
| spl144_203
| spl144_47
| spl144_160
| spl144_184
| spl144_355
| spl144_16
| spl144_357
| spl144_152
| spl144_353
| spl144_302
| spl144_314
| spl144_84
| spl144_59
| spl144_281
| spl144_37
| spl144_90
| spl144_32
| spl144_313
| spl144_83
| spl144_98
| spl144_200
| spl144_356
| spl144_145
| spl144_337
| spl144_311
| spl144_278
| spl144_19
| spl144_30
| spl144_346
| spl144_338
| spl144_114
| spl144_44
| spl144_336
| spl144_332
| spl144_99
| spl144_122
| spl144_354
| spl144_78
| spl144_5
| spl144_106
| spl144_147
| spl144_308
| spl144_351
| spl144_36
| spl144_211
| spl144_110
| spl144_280
| spl144_349
| spl144_54
| spl144_352
| spl144_115
| spl144_17
| spl144_163
| spl144_104
| spl144_350
| spl144_344
| spl144_213
| spl144_210 ),
inference(avatar_split_clause,[],[f981,f2184,f2202,f2856,f2905,f1663,f1943,f1264,f1720,f2913,f1430,f2901,f2492,f1693,f2189,f1349,f2909,f2620,f1860,f1675,f1212,f1539,f2921,f1755,f1638,f2773,f2804,f1385,f1715,f2818,f2884,f1322,f1273,f2478,f2638,f2810,f1851,f2929,f2132,f1634,f1561,f2648,f1331,f1595,f1354,f2497,f1454,f1566,f2656,f2589,f2917,f1885,f2933,f1259,f2925,f2053,f1927,f1398,f2150,f1740,f2033,f2313,f1922,f1917,f2628]) ).
fof(f981,plain,
( sP92
| sP79
| sP125
| sP115
| sP126
| sP98
| sP121
| sP119
| sP118
| sP111
| sP123
| sP71
| sP84
| sP116
| sP127
| sP73
| sP104
| sP75
| sP78
| sP117
| sP114
| sP89
| sP109
| e22 = op2(e22,e23)
| sP68
| sP95
| sP101
| sP70
| sP83
| sP66
| sP90
| sP97
| sP106
| sP72
| sP91
| sP108
| sP87
| sP124
| sP103
| sP112
| sP113
| sP85
| sP69
| sP120
| sP67
| sP99
| sP105
| sP94
| sP128
| sP77
| sP122
| sP76
| sP93
| sP82
| sP74
| sP107
| sP100
| sP86
| sP96
| sP80
| sP102
| sP88
| sP81
| sP110 ),
inference(cnf_transformation,[],[f154]) ).
fof(f3632,plain,
( ~ spl144_35
| ~ spl144_350 ),
inference(avatar_split_clause,[],[f782,f2905,f1345]) ).
fof(f782,plain,
( ~ sP115
| e23 != op2(e23,e21) ),
inference(cnf_transformation,[],[f250]) ).
fof(f3631,plain,
( ~ spl144_25
| ~ spl144_222 ),
inference(avatar_split_clause,[],[f578,f2240,f1300]) ).
fof(f578,plain,
( ~ sP12
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12)
& e12 != op1(e13,e13) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f3630,plain,
( spl144_10
| spl144_164
| spl144_94 ),
inference(avatar_split_clause,[],[f3629,f1614,f1948,f1233]) ).
fof(f3629,plain,
( e13 = op1(e11,e11)
| e13 = op1(e13,e11)
| e13 = op1(e12,e11) ),
inference(subsumption_resolution,[],[f1169,f2849]) ).
fof(f2849,plain,
e13 != op1(e10,e11),
inference(forward_demodulation,[],[f345,f991]) ).
fof(f345,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1169,plain,
( e13 = op1(e12,e11)
| e13 = op1(e13,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3626,plain,
( ~ spl144_110
| spl144_103 ),
inference(avatar_split_clause,[],[f3625,f1659,f1693]) ).
fof(f3625,plain,
( e22 = h2(e13)
| ~ sP84 ),
inference(forward_demodulation,[],[f904,f1049]) ).
fof(f904,plain,
( ~ sP84
| e22 = op2(e21,e21) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
( ( e21 = op2(e21,e22)
& e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21) )
| ~ sP84 ),
inference(nnf_transformation,[],[f106]) ).
fof(f3624,plain,
( ~ spl144_59
| spl144_214 ),
inference(avatar_split_clause,[],[f844,f2206,f1454]) ).
fof(f844,plain,
( e22 = op2(e22,e21)
| ~ sP99 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
( ( e21 != op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 = op2(e21,e21) )
| ~ sP99 ),
inference(nnf_transformation,[],[f121]) ).
fof(f3615,plain,
( spl144_385
| spl144_330
| spl144_99
| spl144_146 ),
inference(avatar_split_clause,[],[f1156,f1856,f1638,f2755,f3176]) ).
fof(f1156,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3612,plain,
( spl144_27
| spl144_3
| spl144_370
| spl144_67 ),
inference(avatar_split_clause,[],[f1177,f1489,f3048,f1203,f1308]) ).
fof(f1177,plain,
( e12 = op1(e11,e11)
| e12 = op1(e11,e10)
| e12 = op1(e11,e13)
| e12 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3603,plain,
( ~ spl144_417
| ~ spl144_353 ),
inference(avatar_split_clause,[],[f3598,f2917,f3600]) ).
fof(f3598,plain,
( ~ sP77
| e23 != h3(e13) ),
inference(forward_demodulation,[],[f932,f312]) ).
fof(f932,plain,
( ~ sP77
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f288]) ).
fof(f3595,plain,
( spl144_342
| spl144_207
| spl144_185
| spl144_11 ),
inference(avatar_split_clause,[],[f1173,f1238,f2058,f2168,f2841]) ).
fof(f1173,plain,
( e10 = op1(e10,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3585,plain,
( ~ spl144_158
| ~ spl144_29 ),
inference(avatar_split_clause,[],[f3584,f1318,f1917]) ).
fof(f3584,plain,
( e21 != h2(e13)
| ~ sP81 ),
inference(forward_demodulation,[],[f916,f1049]) ).
fof(f916,plain,
( ~ sP81
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e23 != op2(e23,e21) )
| ~ sP81 ),
inference(nnf_transformation,[],[f103]) ).
fof(f3579,plain,
( ~ spl144_7
| ~ spl144_220 ),
inference(avatar_split_clause,[],[f397,f2232,f1221]) ).
fof(f397,plain,
( ~ sP57
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e10 != op1(e10,e13)
& e12 = op1(e12,e13)
& e13 != op1(e12,e12)
& op1(e10,e10) = e13 )
| ~ sP57 ),
inference(nnf_transformation,[],[f78]) ).
fof(f3576,plain,
( spl144_74
| ~ spl144_351 ),
inference(avatar_split_clause,[],[f947,f2909,f1522]) ).
fof(f947,plain,
( ~ sP73
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
( ( e23 = op2(e23,e22)
& e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP73 ),
inference(nnf_transformation,[],[f95]) ).
fof(f3575,plain,
( ~ spl144_95
| ~ spl144_336 ),
inference(avatar_split_clause,[],[f3574,f2804,f1620]) ).
fof(f3574,plain,
( ~ sP95
| e20 != h2(e13) ),
inference(forward_demodulation,[],[f862,f1049]) ).
fof(f862,plain,
( ~ sP95
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( e20 != op2(e21,e21)
& e20 = op2(e22,e22)
& e22 != op2(e22,e20)
& e21 = op2(e21,e20) )
| ~ sP95 ),
inference(nnf_transformation,[],[f117]) ).
fof(f3573,plain,
( ~ spl144_356
| ~ spl144_406 ),
inference(avatar_split_clause,[],[f3572,f3436,f2929]) ).
fof(f3572,plain,
( e21 != h4(e13)
| ~ sP87 ),
inference(forward_demodulation,[],[f892,f655]) ).
fof(f892,plain,
( e21 != op2(e23,e23)
| ~ sP87 ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ( e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP87 ),
inference(nnf_transformation,[],[f109]) ).
fof(f3567,plain,
( spl144_67
| ~ spl144_85 ),
inference(avatar_split_clause,[],[f415,f1571,f1489]) ).
fof(f415,plain,
( ~ sP53
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e12 = op1(e11,e11)
& e11 != op1(e11,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP53 ),
inference(nnf_transformation,[],[f74]) ).
fof(f3565,plain,
( spl144_11
| ~ spl144_229 ),
inference(avatar_split_clause,[],[f395,f2268,f1238]) ).
fof(f395,plain,
( ~ sP58
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f175]) ).
fof(f3558,plain,
( spl144_6
| spl144_116
| spl144_29
| spl144_109 ),
inference(avatar_split_clause,[],[f3557,f1689,f1318,f1724,f1216]) ).
fof(f3557,plain,
( e21 = op2(e21,e22)
| e21 = h2(e13)
| e21 = op2(e21,e20)
| e21 = op2(e21,e23) ),
inference(forward_demodulation,[],[f1161,f1049]) ).
fof(f1161,plain,
( e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3553,plain,
( spl144_82
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f883,f2921,f1557]) ).
fof(f883,plain,
( ~ sP89
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ( e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e22 != op2(e22,e21)
& e20 = op2(e20,e21) )
| ~ sP89 ),
inference(nnf_transformation,[],[f111]) ).
fof(f3552,plain,
( ~ spl144_147
| spl144_402 ),
inference(avatar_split_clause,[],[f3551,f3372,f1860]) ).
fof(f3551,plain,
( e22 = h4(e13)
| ~ sP75 ),
inference(forward_demodulation,[],[f939,f655]) ).
fof(f939,plain,
( ~ sP75
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
( ( e23 = op2(e23,e22)
& e23 != op2(e23,e22)
& e22 != op2(e23,e23)
& e22 = op2(e23,e23) )
| ~ sP75 ),
inference(nnf_transformation,[],[f97]) ).
fof(f3550,plain,
( spl144_74
| ~ spl144_47 ),
inference(avatar_split_clause,[],[f841,f1398,f1522]) ).
fof(f841,plain,
( ~ sP100
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e20 = op2(e20,e22) )
| ~ sP100 ),
inference(nnf_transformation,[],[f122]) ).
fof(f3532,plain,
( ~ spl144_226
| spl144_62 ),
inference(avatar_split_clause,[],[f572,f1468,f2256]) ).
fof(f572,plain,
( e12 = op1(e13,e13)
| ~ sP13 ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( ( e12 = op1(e12,e12)
& e13 != op1(e13,e12)
& e12 != op1(e12,e12)
& e12 = op1(e13,e13) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f3531,plain,
~ spl144_93,
inference(avatar_split_clause,[],[f3530,f1609]) ).
fof(f3530,plain,
~ sP44,
inference(subsumption_resolution,[],[f3529,f660]) ).
fof(f3529,plain,
( e10 = e13
| ~ sP44 ),
inference(forward_demodulation,[],[f449,f991]) ).
fof(f449,plain,
( e10 = op1(e10,e10)
| ~ sP44 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e13 != op1(e13,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e13,e13) )
| ~ sP44 ),
inference(nnf_transformation,[],[f65]) ).
fof(f3528,plain,
( spl144_113
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f553,f2002,f1707]) ).
fof(f553,plain,
( ~ sP18
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ( e11 != op1(e11,e11)
& e11 != op1(e12,e12)
& e11 = op1(e11,e11)
& e12 = op1(e12,e11) )
| ~ sP18 ),
inference(nnf_transformation,[],[f39]) ).
fof(f3524,plain,
( spl144_412
| ~ spl144_173 ),
inference(avatar_split_clause,[],[f3519,f1993,f3521]) ).
fof(f3519,plain,
( ~ sP131
| e20 = op2(e20,h1(e13)) ),
inference(forward_demodulation,[],[f710,f994]) ).
fof(f710,plain,
( e20 = op2(e20,op2(e20,e20))
| ~ sP131 ),
inference(cnf_transformation,[],[f234]) ).
fof(f3516,plain,
spl144_134,
inference(avatar_split_clause,[],[f3515,f1806]) ).
fof(f3515,plain,
e21 = h1(e11),
inference(forward_demodulation,[],[f3514,f3331]) ).
fof(f3514,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(forward_demodulation,[],[f995,f994]) ).
fof(f995,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f3510,plain,
( ~ spl144_108
| spl144_48 ),
inference(avatar_split_clause,[],[f422,f1403,f1684]) ).
fof(f422,plain,
( e13 = op1(e13,e13)
| ~ sP51 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP51 ),
inference(nnf_transformation,[],[f72]) ).
fof(f3502,plain,
( ~ spl144_98
| spl144_407 ),
inference(avatar_split_clause,[],[f3501,f3450,f1634]) ).
fof(f3501,plain,
( e23 = h4(e13)
| ~ sP103 ),
inference(forward_demodulation,[],[f828,f655]) ).
fof(f828,plain,
( ~ sP103
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ( e23 != op2(e23,e23)
& e22 = op2(e22,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22) )
| ~ sP103 ),
inference(nnf_transformation,[],[f125]) ).
fof(f3499,plain,
( spl144_201
| spl144_403
| spl144_70
| spl144_35 ),
inference(avatar_split_clause,[],[f3498,f1345,f1504,f3394,f2139]) ).
fof(f3498,plain,
( e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = h2(e13) ),
inference(forward_demodulation,[],[f1132,f1049]) ).
fof(f1132,plain,
( e23 = op2(e21,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3496,plain,
( spl144_113
| spl144_206
| spl144_67
| spl144_94 ),
inference(avatar_split_clause,[],[f1058,f1614,f1489,f2164,f1707]) ).
fof(f1058,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e10 = op1(e11,e11)
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3495,plain,
( ~ spl144_406
| ~ spl144_213 ),
inference(avatar_split_clause,[],[f3494,f2202,f3436]) ).
fof(f3494,plain,
( ~ sP79
| e21 != h4(e13) ),
inference(forward_demodulation,[],[f923,f655]) ).
fof(f923,plain,
( ~ sP79
| e21 != op2(e23,e23) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
( ( e21 = op2(e22,e22)
& e22 != op2(e22,e21)
& e23 = op2(e23,e21)
& e21 != op2(e23,e23) )
| ~ sP79 ),
inference(nnf_transformation,[],[f101]) ).
fof(f3492,plain,
( ~ spl144_25
| ~ spl144_148 ),
inference(avatar_split_clause,[],[f536,f1865,f1300]) ).
fof(f536,plain,
( ~ sP22
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e12,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12) )
| ~ sP22 ),
inference(nnf_transformation,[],[f43]) ).
fof(f3478,plain,
( ~ spl144_280
| ~ spl144_29 ),
inference(avatar_split_clause,[],[f3477,f1318,f2492]) ).
fof(f3477,plain,
( e21 != h2(e13)
| ~ sP71 ),
inference(forward_demodulation,[],[f956,f1049]) ).
fof(f956,plain,
( e21 != op2(e21,e21)
| ~ sP71 ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
( ( e21 = op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 != op2(e21,e21) )
| ~ sP71 ),
inference(nnf_transformation,[],[f93]) ).
fof(f3463,plain,
( spl144_157
| ~ spl144_191 ),
inference(avatar_split_clause,[],[f550,f2085,f1911]) ).
fof(f550,plain,
( ~ sP19
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f214]) ).
fof(f3461,plain,
( spl144_80
| ~ spl144_234 ),
inference(avatar_split_clause,[],[f533,f2288,f1548]) ).
fof(f1548,plain,
( spl144_80
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl144_80])]) ).
fof(f533,plain,
( ~ sP23
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( ( e10 != op1(e13,e13)
& e10 = op1(e13,e13)
& e13 = op1(e13,e10)
& e13 != op1(e13,e10) )
| ~ sP23 ),
inference(nnf_transformation,[],[f44]) ).
fof(f3457,plain,
( ~ spl144_351
| ~ spl144_74 ),
inference(avatar_split_clause,[],[f948,f1522,f2909]) ).
fof(f948,plain,
( e22 != op2(e22,e22)
| ~ sP73 ),
inference(cnf_transformation,[],[f292]) ).
fof(f3455,plain,
( ~ spl144_124
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f554,f2002,f1764]) ).
fof(f554,plain,
( ~ sP18
| e11 != op1(e12,e12) ),
inference(cnf_transformation,[],[f215]) ).
fof(f3447,plain,
( ~ spl144_122
| spl144_109 ),
inference(avatar_split_clause,[],[f805,f1689,f1755]) ).
fof(f805,plain,
( e21 = op2(e21,e22)
| ~ sP109 ),
inference(cnf_transformation,[],[f256]) ).
fof(f3444,plain,
( spl144_214
| ~ spl144_350 ),
inference(avatar_split_clause,[],[f781,f2905,f2206]) ).
fof(f781,plain,
( ~ sP115
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f250]) ).
fof(f3433,plain,
( spl144_25
| ~ spl144_155 ),
inference(avatar_split_clause,[],[f614,f1901,f1300]) ).
fof(f614,plain,
( ~ sP3
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f230]) ).
fof(f3422,plain,
( spl144_99
| ~ spl144_5 ),
inference(avatar_split_clause,[],[f771,f1212,f1638]) ).
fof(f771,plain,
( ~ sP117
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP117 ),
inference(nnf_transformation,[],[f139]) ).
fof(f3420,plain,
( spl144_372
| spl144_10
| spl144_365
| spl144_117 ),
inference(avatar_split_clause,[],[f1054,f1731,f3006,f1233,f3062]) ).
fof(f1054,plain,
( e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3418,plain,
~ spl144_310,
inference(avatar_split_clause,[],[f3417,f2633]) ).
fof(f3417,plain,
e13 != op1(e10,e12),
inference(forward_demodulation,[],[f362,f991]) ).
fof(f362,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3415,plain,
~ spl144_237,
inference(avatar_split_clause,[],[f3414,f2300]) ).
fof(f3414,plain,
~ sP14,
inference(subsumption_resolution,[],[f3413,f660]) ).
fof(f3413,plain,
( ~ sP14
| e10 = e13 ),
inference(forward_demodulation,[],[f570,f991]) ).
fof(f570,plain,
( e10 = op1(e10,e10)
| ~ sP14 ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f3403,plain,
( ~ spl144_220
| ~ spl144_12 ),
inference(avatar_split_clause,[],[f399,f1242,f2232]) ).
fof(f399,plain,
( e10 != op1(e10,e13)
| ~ sP57 ),
inference(cnf_transformation,[],[f176]) ).
fof(f3401,plain,
( ~ spl144_112
| spl144_113 ),
inference(avatar_split_clause,[],[f419,f1707,f1703]) ).
fof(f419,plain,
( e11 = op1(e11,e11)
| ~ sP52 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e13 != op1(e13,e11)
& e11 = op1(e13,e13) )
| ~ sP52 ),
inference(nnf_transformation,[],[f73]) ).
fof(f3398,plain,
( ~ spl144_313
| spl144_45 ),
inference(avatar_split_clause,[],[f790,f1389,f2648]) ).
fof(f790,plain,
( e23 = op2(e23,e20)
| ~ sP113 ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( e23 = op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 != op2(e23,e20) )
| ~ sP113 ),
inference(nnf_transformation,[],[f135]) ).
fof(f3397,plain,
( spl144_403
| spl144_151
| spl144_307
| spl144_56 ),
inference(avatar_split_clause,[],[f1145,f1439,f2615,f1879,f3394]) ).
fof(f1145,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23)
| e23 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3390,plain,
( ~ spl144_116
| ~ spl144_17 ),
inference(avatar_split_clause,[],[f756,f1264,f1724]) ).
fof(f756,plain,
( ~ sP121
| e21 != op2(e21,e20) ),
inference(cnf_transformation,[],[f244]) ).
fof(f3386,plain,
~ spl144_161,
inference(avatar_split_clause,[],[f3385,f1933]) ).
fof(f3385,plain,
~ sP34,
inference(subsumption_resolution,[],[f3384,f661]) ).
fof(f3384,plain,
( ~ sP34
| e12 = e13 ),
inference(forward_demodulation,[],[f488,f991]) ).
fof(f488,plain,
( op1(e10,e10) = e12
| ~ sP34 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( e12 != op1(e11,e11)
& e11 = op1(e11,e12)
& e10 != op1(e10,e12)
& op1(e10,e10) = e12 )
| ~ sP34 ),
inference(nnf_transformation,[],[f55]) ).
fof(f3383,plain,
( ~ spl144_124
| ~ spl144_212 ),
inference(avatar_split_clause,[],[f516,f2197,f1764]) ).
fof(f516,plain,
( ~ sP27
| e11 != op1(e12,e12) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ( e11 = op1(e13,e13)
& e12 = op1(e12,e11)
& e13 != op1(e13,e11)
& e11 != op1(e12,e12) )
| ~ sP27 ),
inference(nnf_transformation,[],[f48]) ).
fof(f3379,plain,
( ~ spl144_148
| spl144_67 ),
inference(avatar_split_clause,[],[f537,f1489,f1865]) ).
fof(f537,plain,
( e12 = op1(e11,e11)
| ~ sP22 ),
inference(cnf_transformation,[],[f211]) ).
fof(f3377,plain,
( ~ spl144_54
| spl144_333 ),
inference(avatar_split_clause,[],[f3376,f2782,f1430]) ).
fof(f3376,plain,
( e22 = h1(e13)
| ~ sP111 ),
inference(forward_demodulation,[],[f797,f994]) ).
fof(f797,plain,
( op2(e20,e20) = e22
| ~ sP111 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ~ sP111 ),
inference(nnf_transformation,[],[f133]) ).
fof(f3368,plain,
( ~ spl144_336
| spl144_38 ),
inference(avatar_split_clause,[],[f861,f1358,f2804]) ).
fof(f861,plain,
( e20 = op2(e22,e22)
| ~ sP95 ),
inference(cnf_transformation,[],[f270]) ).
fof(f3362,plain,
( ~ spl144_101
| spl144_383 ),
inference(avatar_split_clause,[],[f3361,f3154,f1648]) ).
fof(f3361,plain,
( e11 = e13
| ~ sP59 ),
inference(forward_demodulation,[],[f388,f991]) ).
fof(f388,plain,
( op1(e10,e10) = e11
| ~ sP59 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e10 != op1(e10,e11)
& e10 = op1(e10,e11)
& op1(e10,e10) != e11
& op1(e10,e10) = e11 )
| ~ sP59 ),
inference(nnf_transformation,[],[f80]) ).
fof(f3358,plain,
( spl144_305
| ~ spl144_37 ),
inference(avatar_split_clause,[],[f759,f1354,f2604]) ).
fof(f759,plain,
( ~ sP120
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( e21 != op2(e21,e20)
& e20 != op2(e22,e22)
& e20 = op2(e21,e21)
& e22 = op2(e22,e20) )
| ~ sP120 ),
inference(nnf_transformation,[],[f142]) ).
fof(f3355,plain,
( spl144_76
| spl144_325
| spl144_367
| spl144_154 ),
inference(avatar_split_clause,[],[f688,f1896,f3017,f2728,f1530]) ).
fof(f688,plain,
( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3354,plain,
~ spl144_80,
inference(avatar_split_clause,[],[f3353,f1548]) ).
fof(f3353,plain,
e13 != op1(e13,e10),
inference(forward_demodulation,[],[f355,f991]) ).
fof(f355,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3342,plain,
( spl144_64
| spl144_399
| spl144_65
| spl144_63 ),
inference(avatar_split_clause,[],[f642,f1472,f1480,f3339,f1476]) ).
fof(f1480,plain,
( spl144_65
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_65])]) ).
fof(f1472,plain,
( spl144_63
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_63])]) ).
fof(f642,plain,
( sP1
| sP0
| e11 = op1(e12,op1(e12,e11))
| sP2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f3332,plain,
( spl144_6
| ~ spl144_332 ),
inference(avatar_split_clause,[],[f970,f2773,f1216]) ).
fof(f970,plain,
( ~ sP68
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
( ( e21 = op2(e21,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e23 != op2(e23,e23) )
| ~ sP68 ),
inference(nnf_transformation,[],[f90]) ).
fof(f3318,plain,
( spl144_154
| ~ spl144_351 ),
inference(avatar_split_clause,[],[f950,f2909,f1896]) ).
fof(f950,plain,
( ~ sP73
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f292]) ).
fof(f3317,plain,
( spl144_33
| ~ spl144_218 ),
inference(avatar_split_clause,[],[f595,f2224,f1336]) ).
fof(f595,plain,
( ~ sP8
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( ( e13 = op1(e13,e12)
& e12 != op1(e13,e13)
& e12 = op1(e11,e11)
& e11 != op1(e11,e12) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f3303,plain,
( ~ spl144_210
| spl144_74 ),
inference(avatar_split_clause,[],[f874,f1522,f2184]) ).
fof(f874,plain,
( e22 = op2(e22,e22)
| ~ sP92 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
( ( e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP92 ),
inference(nnf_transformation,[],[f114]) ).
fof(f3302,plain,
( spl144_111
| spl144_25
| spl144_157
| spl144_117 ),
inference(avatar_split_clause,[],[f1166,f1731,f1911,f1300,f1698]) ).
fof(f1166,plain,
( e12 = op1(e12,e11)
| e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3300,plain,
( spl144_305
| ~ spl144_160 ),
inference(avatar_split_clause,[],[f813,f1927,f2604]) ).
fof(f813,plain,
( ~ sP107
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( e20 != op2(e22,e22)
& e22 = op2(e22,e20)
& e23 != op2(e23,e20)
& e20 = op2(e23,e23) )
| ~ sP107 ),
inference(nnf_transformation,[],[f129]) ).
fof(f3299,plain,
( spl144_125
| spl144_342
| spl144_26
| spl144_33 ),
inference(avatar_split_clause,[],[f1052,f1336,f1304,f2841,f1768]) ).
fof(f1052,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3297,plain,
( ~ spl144_199
| ~ spl144_165 ),
inference(avatar_split_clause,[],[f438,f1952,f2127]) ).
fof(f438,plain,
( ~ sP47
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e13 != op1(e13,e11)
& e11 != op1(e13,e13)
& e11 = op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP47 ),
inference(nnf_transformation,[],[f68]) ).
fof(f3296,plain,
( ~ spl144_236
| spl144_1 ),
inference(avatar_split_clause,[],[f597,f1195,f2296]) ).
fof(f597,plain,
( e11 = op1(e11,e13)
| ~ sP7 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( e12 != op1(e12,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13)
& e13 = op1(e12,e12) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f3290,plain,
( ~ spl144_16
| spl144_15 ),
inference(avatar_split_clause,[],[f870,f1255,f1259]) ).
fof(f870,plain,
( e23 = op2(e23,e23)
| ~ sP93 ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23) )
| ~ sP93 ),
inference(nnf_transformation,[],[f115]) ).
fof(f3287,plain,
~ spl144_383,
inference(avatar_split_clause,[],[f659,f3154]) ).
fof(f659,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3285,plain,
( spl144_68
| spl144_77
| spl144_43
| spl144_46 ),
inference(avatar_split_clause,[],[f691,f1394,f1380,f1534,f1496]) ).
fof(f691,plain,
( e20 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3283,plain,
( spl144_79
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f886,f2921,f1543]) ).
fof(f886,plain,
( ~ sP89
| e21 = op2(e22,e22) ),
inference(cnf_transformation,[],[f276]) ).
fof(f3280,plain,
spl144_315,
inference(avatar_split_clause,[],[f3279,f2661]) ).
fof(f3279,plain,
e12 = op1(e13,e10),
inference(forward_demodulation,[],[f993,f991]) ).
fof(f993,plain,
e12 = op1(op1(e10,e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f3274,plain,
( ~ spl144_164
| ~ spl144_112 ),
inference(avatar_split_clause,[],[f417,f1703,f1948]) ).
fof(f417,plain,
( ~ sP52
| e13 != op1(e13,e11) ),
inference(cnf_transformation,[],[f181]) ).
fof(f3273,plain,
( ~ spl144_65
| spl144_111
| ~ spl144_185 ),
inference(avatar_split_clause,[],[f638,f2058,f1698,f1480]) ).
fof(f638,plain,
( e10 != op1(e12,e12)
| e12 = op1(e12,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( e10 = op1(e10,op1(e10,e10))
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e11,e11)
| e11 = op1(e11,e10) )
& e13 = op1(e10,op1(e10,e13))
& e11 = op1(e10,op1(e10,e11))
& e12 = op1(e10,op1(e10,e12))
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e10,e10)
| e10 = op1(e10,e10) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f3272,plain,
spl144_199,
inference(avatar_split_clause,[],[f3271,f2127]) ).
fof(f3271,plain,
e11 = op1(e13,e13),
inference(forward_demodulation,[],[f992,f991]) ).
fof(f992,plain,
e11 = op1(op1(e10,e10),op1(e10,e10)),
inference(cnf_transformation,[],[f12]) ).
fof(f3269,plain,
( ~ spl144_164
| ~ spl144_238 ),
inference(avatar_split_clause,[],[f561,f2304,f1948]) ).
fof(f561,plain,
( ~ sP16
| e13 != op1(e13,e11) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( op1(e10,e10) != e11
& e11 = op1(e13,e13)
& e13 != op1(e13,e11)
& e10 = op1(e10,e11) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f3268,plain,
( spl144_214
| spl144_99
| spl144_74
| spl144_305 ),
inference(avatar_split_clause,[],[f1140,f2604,f1522,f1638,f2206]) ).
fof(f1140,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3266,plain,
~ spl144_53,
inference(avatar_split_clause,[],[f3265,f1425]) ).
fof(f3265,plain,
~ sP49,
inference(subsumption_resolution,[],[f430,f991]) ).
fof(f430,plain,
( ~ sP49
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e10 != op1(e10,e13)
& op1(e10,e10) = e13 )
| ~ sP49 ),
inference(nnf_transformation,[],[f70]) ).
fof(f3255,plain,
( spl144_62
| ~ spl144_225 ),
inference(avatar_split_clause,[],[f469,f2252,f1468]) ).
fof(f469,plain,
( ~ sP39
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e11 = op1(e11,e12)
& e12 != op1(e11,e11)
& e12 = op1(e13,e13)
& e13 != op1(e13,e12) )
| ~ sP39 ),
inference(nnf_transformation,[],[f60]) ).
fof(f3246,plain,
( ~ spl144_117
| ~ spl144_86 ),
inference(avatar_split_clause,[],[f476,f1576,f1731]) ).
fof(f476,plain,
( ~ sP37
| e12 != op1(e12,e11) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( op1(e10,e10) != e11
& e11 = op1(e12,e12)
& e10 = op1(e10,e11)
& e12 != op1(e12,e11) )
| ~ sP37 ),
inference(nnf_transformation,[],[f58]) ).
fof(f3236,plain,
( ~ spl144_336
| spl144_116 ),
inference(avatar_split_clause,[],[f859,f1724,f2804]) ).
fof(f859,plain,
( e21 = op2(e21,e20)
| ~ sP95 ),
inference(cnf_transformation,[],[f270]) ).
fof(f3234,plain,
( spl144_360
| spl144_38
| spl144_46
| spl144_325 ),
inference(avatar_split_clause,[],[f1152,f2728,f1394,f1358,f2960]) ).
fof(f1152,plain,
( e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3233,plain,
~ spl144_217,
inference(avatar_split_clause,[],[f3232,f2220]) ).
fof(f3232,plain,
~ sP6,
inference(subsumption_resolution,[],[f3231,f661]) ).
fof(f3231,plain,
( e12 = e13
| ~ sP6 ),
inference(forward_demodulation,[],[f602,f991]) ).
fof(f602,plain,
( op1(e10,e10) = e12
| ~ sP6 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f3223,plain,
( ~ spl144_192
| spl144_48 ),
inference(avatar_split_clause,[],[f564,f1403,f2090]) ).
fof(f564,plain,
( e13 = op1(e13,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e12,e12)
& e12 != op1(e12,e13)
& e13 = op1(e13,e13) )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f3214,plain,
( ~ spl144_52
| ~ spl144_353 ),
inference(avatar_split_clause,[],[f934,f2917,f1420]) ).
fof(f934,plain,
( ~ sP77
| e20 != op2(e20,e23) ),
inference(cnf_transformation,[],[f288]) ).
fof(f3213,plain,
( ~ spl144_231
| spl144_1 ),
inference(avatar_split_clause,[],[f582,f1195,f2276]) ).
fof(f582,plain,
( e11 = op1(e11,e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( e11 != op1(e11,e13)
& e11 = op1(e11,e13)
& e13 != op1(e11,e11)
& e13 = op1(e11,e11) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f3206,plain,
( ~ spl144_74
| ~ spl144_281 ),
inference(avatar_split_clause,[],[f971,f2497,f1522]) ).
fof(f971,plain,
( ~ sP67
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ( e22 = op2(e22,e22)
& e22 = op2(e21,e21)
& e21 != op2(e21,e22)
& e22 != op2(e22,e22) )
| ~ sP67 ),
inference(nnf_transformation,[],[f89]) ).
fof(f3199,plain,
( ~ spl144_85
| spl144_66 ),
inference(avatar_split_clause,[],[f412,f1485,f1571]) ).
fof(f412,plain,
( e11 = op1(e11,e12)
| ~ sP53 ),
inference(cnf_transformation,[],[f180]) ).
fof(f3198,plain,
( ~ spl144_309
| ~ spl144_109 ),
inference(avatar_split_clause,[],[f802,f1689,f2628]) ).
fof(f802,plain,
( e21 != op2(e21,e22)
| ~ sP110 ),
inference(cnf_transformation,[],[f255]) ).
fof(f3191,plain,
( ~ spl144_110
| ~ spl144_103 ),
inference(avatar_split_clause,[],[f3190,f1659,f1693]) ).
fof(f3190,plain,
( e22 != h2(e13)
| ~ sP84 ),
inference(forward_demodulation,[],[f903,f1049]) ).
fof(f903,plain,
( ~ sP84
| e22 != op2(e21,e21) ),
inference(cnf_transformation,[],[f281]) ).
fof(f3188,plain,
( ~ spl144_114
| spl144_6 ),
inference(avatar_split_clause,[],[f961,f1216,f1715]) ).
fof(f961,plain,
( e21 = op2(e21,e23)
| ~ sP70 ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( ( e23 != op2(e21,e21)
& e21 = op2(e21,e23)
& e21 != op2(e21,e23)
& e23 = op2(e21,e21) )
| ~ sP70 ),
inference(nnf_transformation,[],[f92]) ).
fof(f3186,plain,
( ~ spl144_222
| spl144_25 ),
inference(avatar_split_clause,[],[f579,f1300,f2240]) ).
fof(f579,plain,
( e12 = op1(e12,e12)
| ~ sP12 ),
inference(cnf_transformation,[],[f221]) ).
fof(f3185,plain,
( ~ spl144_214
| ~ spl144_354 ),
inference(avatar_split_clause,[],[f884,f2921,f2206]) ).
fof(f884,plain,
( ~ sP89
| e22 != op2(e22,e21) ),
inference(cnf_transformation,[],[f276]) ).
fof(f3184,plain,
( spl144_46
| ~ spl144_19 ),
inference(avatar_split_clause,[],[f853,f1273,f1394]) ).
fof(f853,plain,
( ~ sP97
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ( op2(e20,e20) != e22
& e20 = op2(e20,e22)
& e21 != op2(e21,e22)
& e22 = op2(e21,e21) )
| ~ sP97 ),
inference(nnf_transformation,[],[f119]) ).
fof(f3182,plain,
( spl144_52
| spl144_329
| spl144_71
| spl144_312 ),
inference(avatar_split_clause,[],[f1130,f2644,f1509,f2751,f1420]) ).
fof(f1130,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3181,plain,
( ~ spl144_229
| spl144_25 ),
inference(avatar_split_clause,[],[f392,f1300,f2268]) ).
fof(f392,plain,
( e12 = op1(e12,e12)
| ~ sP58 ),
inference(cnf_transformation,[],[f175]) ).
fof(f3180,plain,
( spl144_48
| spl144_80
| spl144_33
| spl144_164 ),
inference(avatar_split_clause,[],[f1182,f1948,f1336,f1548,f1403]) ).
fof(f1182,plain,
( e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3179,plain,
( spl144_77
| spl144_241
| spl144_31
| spl144_385 ),
inference(avatar_split_clause,[],[f1157,f3176,f1327,f2321,f1534]) ).
fof(f1157,plain,
( e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3174,plain,
( spl144_204
| spl144_12
| spl144_331 ),
inference(avatar_split_clause,[],[f3173,f2763,f1242,f2155]) ).
fof(f3173,plain,
( e12 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f1056,f2020]) ).
fof(f2020,plain,
e13 != op1(e10,e13),
inference(backward_demodulation,[],[f325,f991]) ).
fof(f325,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1056,plain,
( e10 = op1(e10,e13)
| e13 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3162,plain,
( ~ spl144_156
| ~ spl144_117 ),
inference(avatar_split_clause,[],[f542,f1731,f1906]) ).
fof(f542,plain,
( e12 != op1(e12,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( e11 != op1(e11,e11)
& e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 = op1(e11,e11) )
| ~ sP21 ),
inference(nnf_transformation,[],[f42]) ).
fof(f3161,plain,
( spl144_164
| spl144_316
| spl144_341
| spl144_366 ),
inference(avatar_split_clause,[],[f1063,f3010,f2837,f2665,f1948]) ).
fof(f1063,plain,
( e11 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3160,plain,
( ~ spl144_307
| ~ spl144_5 ),
inference(avatar_split_clause,[],[f772,f1212,f2615]) ).
fof(f772,plain,
( ~ sP117
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f248]) ).
fof(f3159,plain,
( spl144_7
| ~ spl144_192 ),
inference(avatar_split_clause,[],[f566,f2090,f1221]) ).
fof(f566,plain,
( ~ sP15
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f218]) ).
fof(f3157,plain,
( spl144_364
| spl144_383
| spl144_123
| spl144_204 ),
inference(avatar_split_clause,[],[f3152,f2155,f1760,f3154,f3002]) ).
fof(f3152,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = e13
| e11 = op1(e10,e11) ),
inference(forward_demodulation,[],[f1172,f991]) ).
fof(f1172,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e13)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3151,plain,
( ~ spl144_58
| spl144_11 ),
inference(avatar_split_clause,[],[f502,f1238,f1448]) ).
fof(f502,plain,
( e10 = op1(e10,e12)
| ~ sP31 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( op1(e10,e10) != e12
& e10 = op1(e10,e12)
& e11 != op1(e11,e12)
& e12 = op1(e11,e11) )
| ~ sP31 ),
inference(nnf_transformation,[],[f52]) ).
fof(f3143,plain,
( ~ spl144_12
| ~ spl144_230 ),
inference(avatar_split_clause,[],[f496,f2272,f1242]) ).
fof(f496,plain,
( ~ sP32
| e10 != op1(e10,e13) ),
inference(cnf_transformation,[],[f201]) ).
fof(f3140,plain,
( ~ spl144_86
| spl144_124 ),
inference(avatar_split_clause,[],[f478,f1764,f1576]) ).
fof(f478,plain,
( e11 = op1(e12,e12)
| ~ sP37 ),
inference(cnf_transformation,[],[f196]) ).
fof(f3137,plain,
( spl144_116
| spl144_381
| spl144_320
| spl144_41 ),
inference(avatar_split_clause,[],[f1133,f1372,f2699,f3134,f1724]) ).
fof(f1133,plain,
( op2(e20,e20) = e21
| e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3126,plain,
( ~ spl144_239
| spl144_157 ),
inference(avatar_split_clause,[],[f522,f1911,f2308]) ).
fof(f522,plain,
( e12 = op1(e12,e13)
| ~ sP26 ),
inference(cnf_transformation,[],[f207]) ).
fof(f3124,plain,
~ spl144_105,
inference(avatar_split_clause,[],[f3123,f1670]) ).
fof(f3123,plain,
~ sP35,
inference(subsumption_resolution,[],[f3122,f660]) ).
fof(f3122,plain,
( ~ sP35
| e10 = e13 ),
inference(forward_demodulation,[],[f484,f991]) ).
fof(f484,plain,
( e10 = op1(e10,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e10 = op1(e12,e12)
& e12 != op1(e12,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP35 ),
inference(nnf_transformation,[],[f56]) ).
fof(f3103,plain,
( ~ spl144_239
| spl144_7 ),
inference(avatar_split_clause,[],[f521,f1221,f2308]) ).
fof(f521,plain,
( e13 = op1(e12,e12)
| ~ sP26 ),
inference(cnf_transformation,[],[f207]) ).
fof(f3102,plain,
~ spl144_227,
inference(avatar_split_clause,[],[f3101,f2260]) ).
fof(f3101,plain,
~ sP56,
inference(subsumption_resolution,[],[f3100,f660]) ).
fof(f3100,plain,
( e10 = e13
| ~ sP56 ),
inference(forward_demodulation,[],[f403,f991]) ).
fof(f403,plain,
( ~ sP56
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 != op1(e10,e10) )
| ~ sP56 ),
inference(nnf_transformation,[],[f77]) ).
fof(f3098,plain,
( ~ spl144_113
| ~ spl144_224 ),
inference(avatar_split_clause,[],[f472,f2248,f1707]) ).
fof(f472,plain,
( ~ sP38
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 != op1(e11,e11) )
| ~ sP38 ),
inference(nnf_transformation,[],[f59]) ).
fof(f3092,plain,
spl144_172,
inference(avatar_split_clause,[],[f996,f1988]) ).
fof(f996,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f3086,plain,
( ~ spl144_224
| spl144_113 ),
inference(avatar_split_clause,[],[f474,f1707,f2248]) ).
fof(f474,plain,
( e11 = op1(e11,e11)
| ~ sP38 ),
inference(cnf_transformation,[],[f195]) ).
fof(f3071,plain,
( spl144_304
| spl144_330
| spl144_75
| spl144_103 ),
inference(avatar_split_clause,[],[f3070,f1659,f1526,f2755,f2600]) ).
fof(f3070,plain,
( e22 = h2(e13)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23)
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[],[f1146,f1049]) ).
fof(f1146,plain,
( e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e23)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3057,plain,
( spl144_45
| ~ spl144_115 ),
inference(avatar_split_clause,[],[f766,f1720,f1389]) ).
fof(f766,plain,
( ~ sP119
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( e23 = op2(e23,e20)
& e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23) )
| ~ sP119 ),
inference(nnf_transformation,[],[f141]) ).
fof(f3051,plain,
( spl144_60
| spl144_370
| spl144_205
| spl144_198 ),
inference(avatar_split_clause,[],[f1064,f2121,f2160,f3048,f1459]) ).
fof(f1064,plain,
( e13 = op1(e11,e10)
| e10 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3046,plain,
( ~ spl144_230
| ~ spl144_48 ),
inference(avatar_split_clause,[],[f499,f1403,f2272]) ).
fof(f499,plain,
( e13 != op1(e13,e13)
| ~ sP32 ),
inference(cnf_transformation,[],[f201]) ).
fof(f3045,plain,
( ~ spl144_212
| spl144_117 ),
inference(avatar_split_clause,[],[f518,f1731,f2197]) ).
fof(f518,plain,
( e12 = op1(e12,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f206]) ).
fof(f3044,plain,
( spl144_8
| spl144_369
| spl144_92
| spl144_111 ),
inference(avatar_split_clause,[],[f1055,f1698,f1604,f3041,f1225]) ).
fof(f1055,plain,
( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3039,plain,
( spl144_35
| spl144_181
| spl144_173
| spl144_50
| ~ spl144_319 ),
inference(avatar_split_clause,[],[f987,f2694,f1412,f1993,f2038,f1345]) ).
fof(f987,plain,
( e21 != op2(e23,e23)
| sP129
| sP131
| sP130
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f154]) ).
fof(f3035,plain,
~ spl144_195,
inference(avatar_split_clause,[],[f3034,f2107]) ).
fof(f3034,plain,
~ sP41,
inference(subsumption_resolution,[],[f460,f991]) ).
fof(f460,plain,
( op1(e10,e10) != e13
| ~ sP41 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( e13 = op1(e11,e11)
& e11 != op1(e11,e13)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13 )
| ~ sP41 ),
inference(nnf_transformation,[],[f62]) ).
fof(f3020,plain,
( spl144_79
| spl144_43
| spl144_109
| spl144_367 ),
inference(avatar_split_clause,[],[f1151,f3017,f1689,f1380,f1543]) ).
fof(f1151,plain,
( e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| e21 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3014,plain,
( spl144_124
| ~ spl144_156 ),
inference(avatar_split_clause,[],[f541,f1906,f1764]) ).
fof(f541,plain,
( ~ sP21
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f212]) ).
fof(f3013,plain,
( spl144_364
| spl144_113
| spl144_365
| spl144_366 ),
inference(avatar_split_clause,[],[f1164,f3010,f3006,f1707,f3002]) ).
fof(f1164,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2999,plain,
~ spl144_232,
inference(avatar_split_clause,[],[f2998,f2280]) ).
fof(f2998,plain,
~ sP4,
inference(subsumption_resolution,[],[f610,f991]) ).
fof(f610,plain,
( op1(e10,e10) != e13
| ~ sP4 ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ( e12 != op1(e12,e13)
& op1(e10,e10) != e13
& e13 = op1(e12,e12)
& e10 = op1(e10,e13) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f2997,plain,
( spl144_191
| spl144_215
| spl144_105
| spl144_235
| spl144_217
| spl144_85
| spl144_226
| spl144_177
| spl144_227
| spl144_118
| spl144_238
| spl144_222
| spl144_34
| spl144_228
| spl144_192
| spl144_202
| spl144_60
| spl144_195
| spl144_87
| spl144_196
| spl144_218
| spl144_161
| spl144_86
| spl144_183
| spl144_112
| spl144_21
| spl144_61
| spl144_225
| spl144_93
| spl144_108
| spl144_58
| spl144_232
| spl144_155
| spl144_236
| spl144_223
| spl144_81
| spl144_221
| spl144_176
| spl144_229
| spl144_220
| spl144_216
| spl144_175
| spl144_212
| spl144_239
| spl144_219
| spl144_53
| spl144_230
| spl144_101
| spl144_186
| spl144_224
| spl144_156
| spl144_234
| spl144_39
| spl144_149
| spl144_49
| spl144_233
| spl144_153
| spl144_165
| spl144_237
| spl144_126
| spl144_100
| spl144_231
| spl144_193
| spl144_148 ),
inference(avatar_split_clause,[],[f649,f1865,f2095,f2276,f1643,f1773,f2300,f1952,f1890,f2284,f1407,f1870,f1363,f2288,f1906,f2248,f2062,f1648,f2272,f1425,f2228,f2308,f2197,f2002,f2216,f2232,f2268,f2008,f2236,f1552,f2244,f2296,f1901,f2280,f1448,f1684,f1609,f2252,f1463,f1282,f1703,f2048,f1576,f1933,f2224,f2112,f1581,f2107,f1459,f2144,f2090,f2264,f1340,f2240,f2304,f1735,f2260,f2013,f2256,f1571,f2220,f2292,f1670,f2212,f2085]) ).
fof(f649,plain,
( sP22
| sP30
| sP11
| sP20
| sP40
| sP14
| sP47
| sP33
| sP55
| sP62
| sP60
| sP24
| sP23
| sP21
| sP38
| sP64
| sP59
| sP32
| sP49
| sP25
| sP26
| sP27
| sP18
| sP46
| sP57
| sP58
| sP42
| sP50
| sP10
| sP65
| sP7
| sP3
| sP4
| sP31
| sP51
| sP44
| sP39
| sP5
| sP9
| sP52
| sP17
| sP37
| sP34
| sP8
| sP63
| sP43
| sP41
| e11 = op1(e11,e10)
| sP36
| sP15
| sP45
| sP48
| sP12
| sP16
| sP61
| sP56
| sP28
| sP13
| sP53
| sP6
| sP29
| sP35
| sP54
| sP19 ),
inference(cnf_transformation,[],[f87]) ).
fof(f2995,plain,
~ spl144_221,
inference(avatar_split_clause,[],[f2994,f2236]) ).
fof(f2994,plain,
~ sP50,
inference(subsumption_resolution,[],[f2993,f660]) ).
fof(f2993,plain,
( e10 = e13
| ~ sP50 ),
inference(forward_demodulation,[],[f425,f991]) ).
fof(f425,plain,
( e10 = op1(e10,e10)
| ~ sP50 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e10 != op1(e10,e10)
& e10 != op1(e12,e12)
& e10 = op1(e10,e10)
& e12 = op1(e12,e10) )
| ~ sP50 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2991,plain,
spl144_89,
inference(avatar_split_clause,[],[f2990,f1590]) ).
fof(f2990,plain,
e22 = h1(e12),
inference(forward_demodulation,[],[f997,f669]) ).
fof(f997,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f2980,plain,
( spl144_362
| ~ spl144_181 ),
inference(avatar_split_clause,[],[f716,f2038,f2977]) ).
fof(f716,plain,
( ~ sP130
| e23 = op2(e22,op2(e22,e23)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e22,op2(e22,e21))
& e23 = op2(e22,op2(e22,e23))
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) )
& e20 = op2(e22,op2(e22,e20))
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 != op2(e22,e22)
| e22 = op2(e22,e22) )
& e22 = op2(e22,op2(e22,e22)) )
| ~ sP130 ),
inference(nnf_transformation,[],[f152]) ).
fof(f2975,plain,
( ~ spl144_113
| ~ spl144_235 ),
inference(avatar_split_clause,[],[f509,f2292,f1707]) ).
fof(f509,plain,
( ~ sP29
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( e11 = op1(e11,e11)
& e10 = op1(e10,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11 )
| ~ sP29 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2966,plain,
( spl144_107
| ~ spl144_352 ),
inference(avatar_split_clause,[],[f767,f2913,f1679]) ).
fof(f767,plain,
( ~ sP118
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e20 != op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP118 ),
inference(nnf_transformation,[],[f140]) ).
fof(f2963,plain,
( spl144_335
| spl144_95
| spl144_360
| spl144_329 ),
inference(avatar_split_clause,[],[f2958,f2751,f2960,f1620,f2799]) ).
fof(f2958,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = h2(e13)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f1139,f1049]) ).
fof(f1139,plain,
( e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2955,plain,
( spl144_111
| ~ spl144_193 ),
inference(avatar_split_clause,[],[f507,f2095,f1698]) ).
fof(f507,plain,
( ~ sP30
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e12 = op1(e12,e10)
& e12 != op1(e12,e10)
& e10 != op1(e12,e12)
& e10 = op1(e12,e12) )
| ~ sP30 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2949,plain,
( spl144_305
| ~ spl144_159 ),
inference(avatar_split_clause,[],[f888,f1922,f2604]) ).
fof(f888,plain,
( ~ sP88
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
( ( e20 != op2(e22,e22)
& e20 = op2(e22,e22)
& e22 = op2(e22,e20)
& e22 != op2(e22,e20) )
| ~ sP88 ),
inference(nnf_transformation,[],[f110]) ).
fof(f2940,plain,
( ~ spl144_338
| spl144_107 ),
inference(avatar_split_clause,[],[f909,f1679,f2818]) ).
fof(f909,plain,
( e20 = op2(e20,e20)
| ~ sP83 ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ( e22 = op2(e22,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 != op2(e22,e22) )
| ~ sP83 ),
inference(nnf_transformation,[],[f105]) ).
fof(f2939,plain,
~ spl144_61,
inference(avatar_split_clause,[],[f2938,f1463]) ).
fof(f2938,plain,
~ sP5,
inference(subsumption_resolution,[],[f2937,f660]) ).
fof(f2937,plain,
( ~ sP5
| e10 = e13 ),
inference(forward_demodulation,[],[f605,f991]) ).
fof(f605,plain,
( e10 = op1(e10,e10)
| ~ sP5 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( e10 = op1(e11,e11)
& e11 != op1(e11,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f2936,plain,
( spl144_122
| spl144_240
| spl144_83
| spl144_110
| spl144_98
| spl144_17
| spl144_78
| spl144_213
| spl144_119
| spl144_314
| spl144_152
| spl144_203
| spl144_302
| spl144_344
| spl144_308
| spl144_114
| spl144_349
| spl144_90
| spl144_84
| spl144_350
| ~ spl144_99
| spl144_163
| spl144_200
| spl144_54
| spl144_180
| spl144_351
| spl144_352
| spl144_145
| spl144_309
| spl144_353
| spl144_158
| spl144_354
| spl144_211
| spl144_280
| spl144_337
| spl144_37
| spl144_281
| spl144_115
| spl144_336
| spl144_59
| spl144_104
| spl144_210
| spl144_159
| spl144_184
| spl144_160
| spl144_36
| spl144_311
| spl144_5
| spl144_44
| spl144_355
| spl144_147
| spl144_19
| spl144_278
| spl144_16
| spl144_346
| spl144_30
| spl144_313
| spl144_356
| spl144_338
| spl144_106
| spl144_32
| spl144_47
| spl144_332
| spl144_357 ),
inference(avatar_split_clause,[],[f979,f2933,f2773,f1398,f1331,f1675,f2818,f2929,f2648,f1322,f2884,f1259,f2478,f1273,f1860,f2925,f1385,f1212,f2638,f1349,f1927,f2053,f1922,f2184,f1663,f1454,f2804,f1720,f2497,f1354,f2810,f2492,f2189,f2921,f1917,f2917,f2628,f1851,f2913,f2909,f2033,f1430,f2132,f1943,f1638,f2905,f1566,f1595,f2901,f1715,f2620,f2856,f2589,f2150,f1885,f2656,f1740,f2202,f1539,f1264,f1634,f1693,f1561,f2313,f1755]) ).
fof(f979,plain,
( sP76
| sP68
| sP100
| sP85
| sP78
| sP83
| sP87
| sP113
| sP90
| sP66
| sP93
| sP106
| sP97
| sP75
| sP82
| sP101
| sP117
| sP72
| sP127
| sP107
| sP74
| sP88
| sP92
| sP126
| sP99
| sP95
| sP119
| sP67
| sP120
| sP91
| sP71
| sP116
| sP89
| sP81
| sP77
| sP110
| sP108
| sP118
| sP73
| sP80
| sP111
| sP124
| sP98
| e22 != op2(e22,e23)
| sP115
| sP105
| sP69
| sP123
| sP70
| sP104
| sP125
| sP128
| sP86
| sP122
| sP94
| sP96
| sP79
| sP114
| sP121
| sP103
| sP84
| sP112
| sP102
| sP109 ),
inference(cnf_transformation,[],[f154]) ).
fof(f2893,plain,
( ~ spl144_347
| ~ spl144_132 ),
inference(avatar_split_clause,[],[f1080,f1798,f2890]) ).
fof(f1798,plain,
( spl144_132
<=> sP140 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_132])]) ).
fof(f1080,plain,
( ~ sP140
| e23 != h1(e13) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
( ( e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10) )
| ~ sP140 ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10) )
| ~ sP140 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP140])]) ).
fof(f2888,plain,
( ~ spl144_337
| spl144_116 ),
inference(avatar_split_clause,[],[f876,f1724,f2810]) ).
fof(f876,plain,
( e21 = op2(e21,e20)
| ~ sP91 ),
inference(cnf_transformation,[],[f274]) ).
fof(f2887,plain,
( ~ spl144_51
| ~ spl144_346 ),
inference(avatar_split_clause,[],[f978,f2884,f1416]) ).
fof(f978,plain,
( ~ sP66
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ( op2(e20,e20) != e23
& e23 = op2(e21,e21)
& e21 != op2(e21,e23)
& e20 = op2(e20,e23) )
| ~ sP66 ),
inference(nnf_transformation,[],[f88]) ).
fof(f2878,plain,
( ~ spl144_175
| spl144_117 ),
inference(avatar_split_clause,[],[f552,f1731,f2002]) ).
fof(f552,plain,
( e12 = op1(e12,e11)
| ~ sP18 ),
inference(cnf_transformation,[],[f215]) ).
fof(f2877,plain,
( ~ spl144_176
| spl144_124 ),
inference(avatar_split_clause,[],[f456,f1764,f2008]) ).
fof(f456,plain,
( e11 = op1(e12,e12)
| ~ sP42 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( e11 != op1(e12,e12)
& e12 != op1(e12,e11)
& e12 = op1(e12,e11)
& e11 = op1(e12,e12) )
| ~ sP42 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2876,plain,
( ~ spl144_51
| ~ spl144_203 ),
inference(avatar_split_clause,[],[f896,f2150,f1416]) ).
fof(f896,plain,
( ~ sP86
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( ( e20 = op2(e20,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e23 != op2(e23,e23) )
| ~ sP86 ),
inference(nnf_transformation,[],[f108]) ).
fof(f2875,plain,
( spl144_79
| ~ spl144_30 ),
inference(avatar_split_clause,[],[f881,f1322,f1543]) ).
fof(f881,plain,
( ~ sP90
| e21 = op2(e22,e22) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP90 ),
inference(nnf_transformation,[],[f112]) ).
fof(f2871,plain,
( ~ spl144_81
| spl144_306 ),
inference(avatar_split_clause,[],[f585,f2610,f1552]) ).
fof(f585,plain,
( e10 = op1(e13,e13)
| ~ sP10 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 = op1(e13,e13)
& e13 != op1(e13,e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f2868,plain,
( spl144_117
| ~ spl144_176 ),
inference(avatar_split_clause,[],[f457,f2008,f1731]) ).
fof(f457,plain,
( ~ sP42
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f191]) ).
fof(f2867,plain,
( ~ spl144_223
| spl144_80 ),
inference(avatar_split_clause,[],[f364,f1548,f2244]) ).
fof(f364,plain,
( e13 = op1(e13,e10)
| ~ sP65 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e11 != op1(e11,e10)
& e13 = op1(e13,e10) )
| ~ sP65 ),
inference(nnf_transformation,[],[f86]) ).
fof(f2859,plain,
( ~ spl144_344
| spl144_6 ),
inference(avatar_split_clause,[],[f741,f1216,f2856]) ).
fof(f741,plain,
( e21 = op2(e21,e23)
| ~ sP125 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( e20 != op2(e20,e23)
& e21 = op2(e21,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21) )
| ~ sP125 ),
inference(nnf_transformation,[],[f147]) ).
fof(f2848,plain,
( spl144_29
| ~ spl144_280 ),
inference(avatar_split_clause,[],[f2847,f2492,f1318]) ).
fof(f2847,plain,
( ~ sP71
| e21 = h2(e13) ),
inference(forward_demodulation,[],[f957,f1049]) ).
fof(f957,plain,
( e21 = op2(e21,e21)
| ~ sP71 ),
inference(cnf_transformation,[],[f294]) ).
fof(f2846,plain,
( spl144_312
| ~ spl144_44 ),
inference(avatar_split_clause,[],[f837,f1385,f2644]) ).
fof(f837,plain,
( ~ sP101
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP101 ),
inference(nnf_transformation,[],[f123]) ).
fof(f2845,plain,
( ~ spl144_74
| ~ spl144_210 ),
inference(avatar_split_clause,[],[f873,f2184,f1522]) ).
fof(f873,plain,
( ~ sP92
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f273]) ).
fof(f2844,plain,
( spl144_306
| spl144_340
| spl144_341
| spl144_342 ),
inference(avatar_split_clause,[],[f1193,f2841,f2837,f2833,f2610]) ).
fof(f1193,plain,
( e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2831,plain,
( spl144_107
| spl144_52
| spl144_46
| spl144_82 ),
inference(avatar_split_clause,[],[f1137,f1557,f1394,f1420,f1679]) ).
fof(f1137,plain,
( e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2830,plain,
( ~ spl144_219
| spl144_60 ),
inference(avatar_split_clause,[],[f526,f1459,f2228]) ).
fof(f526,plain,
( e11 = op1(e11,e10)
| ~ sP25 ),
inference(cnf_transformation,[],[f208]) ).
fof(f2829,plain,
( ~ spl144_311
| spl144_15 ),
inference(avatar_split_clause,[],[f954,f1255,f2638]) ).
fof(f954,plain,
( e23 = op2(e23,e23)
| ~ sP72 ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
( ( e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e22,e22)
& e22 != op2(e22,e23) )
| ~ sP72 ),
inference(nnf_transformation,[],[f94]) ).
fof(f2813,plain,
( ~ spl144_337
| spl144_95 ),
inference(avatar_split_clause,[],[f2808,f1620,f2810]) ).
fof(f2808,plain,
( e20 = h2(e13)
| ~ sP91 ),
inference(forward_demodulation,[],[f877,f1049]) ).
fof(f877,plain,
( e20 = op2(e21,e21)
| ~ sP91 ),
inference(cnf_transformation,[],[f274]) ).
fof(f2802,plain,
( spl144_335
| spl144_107
| spl144_324
| spl144_73 ),
inference(avatar_split_clause,[],[f1159,f1517,f2724,f1679,f2799]) ).
fof(f1159,plain,
( e20 = op2(e22,e20)
| e20 = op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2797,plain,
( ~ spl144_84
| spl144_82 ),
inference(avatar_split_clause,[],[f822,f1557,f1566]) ).
fof(f822,plain,
( e20 = op2(e20,e21)
| ~ sP105 ),
inference(cnf_transformation,[],[f260]) ).
fof(f2795,plain,
( ~ spl144_30
| spl144_29 ),
inference(avatar_split_clause,[],[f2794,f1318,f1322]) ).
fof(f2794,plain,
( e21 = h2(e13)
| ~ sP90 ),
inference(forward_demodulation,[],[f879,f1049]) ).
fof(f879,plain,
( e21 = op2(e21,e21)
| ~ sP90 ),
inference(cnf_transformation,[],[f275]) ).
fof(f2787,plain,
( spl144_33
| ~ spl144_222 ),
inference(avatar_split_clause,[],[f577,f2240,f1336]) ).
fof(f577,plain,
( ~ sP12
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f221]) ).
fof(f2779,plain,
( ~ spl144_65
| spl144_12 ),
inference(avatar_split_clause,[],[f2778,f1242,f1480]) ).
fof(f2778,plain,
( e10 = op1(e10,e13)
| ~ sP0 ),
inference(forward_demodulation,[],[f639,f991]) ).
fof(f639,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ sP0 ),
inference(cnf_transformation,[],[f233]) ).
fof(f2777,plain,
( ~ spl144_63
| ~ spl144_199
| spl144_164 ),
inference(avatar_split_clause,[],[f629,f1948,f2127,f1472]) ).
fof(f629,plain,
( e13 = op1(e13,e11)
| e11 != op1(e13,e13)
| ~ sP1 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( e11 = op1(e11,op1(e11,e11))
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& e10 = op1(e11,op1(e11,e10))
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& e12 = op1(e11,op1(e11,e12))
& e13 = op1(e11,op1(e11,e13)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f2771,plain,
~ spl144_216,
inference(avatar_split_clause,[],[f2770,f2216]) ).
fof(f2770,plain,
~ sP46,
inference(subsumption_resolution,[],[f440,f991]) ).
fof(f440,plain,
( ~ sP46
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e10 = op1(e10,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13 )
| ~ sP46 ),
inference(nnf_transformation,[],[f67]) ).
fof(f2767,plain,
( spl144_25
| ~ spl144_149 ),
inference(avatar_split_clause,[],[f386,f1870,f1300]) ).
fof(f386,plain,
( ~ sP60
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ~ sP60 ),
inference(nnf_transformation,[],[f81]) ).
fof(f2766,plain,
( spl144_321
| spl144_28
| spl144_331 ),
inference(avatar_split_clause,[],[f2761,f2763,f1312,f2705]) ).
fof(f2761,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f2760,f661]) ).
fof(f2760,plain,
( e12 = e13
| e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[],[f1183,f991]) ).
fof(f1183,plain,
( e12 = op1(e10,e13)
| op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2749,plain,
( ~ spl144_48
| ~ spl144_108 ),
inference(avatar_split_clause,[],[f423,f1684,f1403]) ).
fof(f423,plain,
( ~ sP51
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f182]) ).
fof(f2748,plain,
( ~ spl144_103
| spl144_109
| ~ spl144_181 ),
inference(avatar_split_clause,[],[f2747,f2038,f1689,f1659]) ).
fof(f2747,plain,
( ~ sP130
| e21 = op2(e21,e22)
| e22 != h2(e13) ),
inference(forward_demodulation,[],[f713,f1049]) ).
fof(f713,plain,
( ~ sP130
| e22 != op2(e21,e21)
| e21 = op2(e21,e22) ),
inference(cnf_transformation,[],[f235]) ).
fof(f2731,plain,
( spl144_324
| spl144_325
| spl144_312
| spl144_189 ),
inference(avatar_split_clause,[],[f1141,f2075,f2644,f2728,f2724]) ).
fof(f1141,plain,
( e20 = op2(e23,e21)
| e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2714,plain,
( ~ spl144_218
| spl144_67 ),
inference(avatar_split_clause,[],[f593,f1489,f2224]) ).
fof(f593,plain,
( e12 = op1(e11,e11)
| ~ sP8 ),
inference(cnf_transformation,[],[f225]) ).
fof(f2708,plain,
( spl144_67
| spl144_316
| spl144_321
| spl144_117 ),
inference(avatar_split_clause,[],[f1170,f1731,f2705,f2665,f1489]) ).
fof(f1170,plain,
( e12 = op1(e12,e11)
| e12 = op1(e10,e11)
| e12 = op1(e13,e11)
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2702,plain,
( spl144_73
| spl144_56
| spl144_305
| spl144_320 ),
inference(avatar_split_clause,[],[f699,f2699,f2604,f1439,f1517]) ).
fof(f699,plain,
( e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2685,plain,
( spl144_14
| ~ spl144_235 ),
inference(avatar_split_clause,[],[f510,f2292,f1250]) ).
fof(f510,plain,
( ~ sP29
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f204]) ).
fof(f2682,plain,
( ~ spl144_74
| ~ spl144_47 ),
inference(avatar_split_clause,[],[f840,f1398,f1522]) ).
fof(f840,plain,
( ~ sP100
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f265]) ).
fof(f2681,plain,
( ~ spl144_314
| spl144_38 ),
inference(avatar_split_clause,[],[f863,f1358,f2656]) ).
fof(f863,plain,
( e20 = op2(e22,e22)
| ~ sP94 ),
inference(cnf_transformation,[],[f271]) ).
fof(f2671,plain,
( ~ spl144_51
| ~ spl144_119 ),
inference(avatar_split_clause,[],[f856,f1740,f1416]) ).
fof(f856,plain,
( ~ sP96
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e20 = op2(e20,e23)
& e22 != op2(e22,e23)
& op2(e20,e20) != e23
& e23 = op2(e22,e22) )
| ~ sP96 ),
inference(nnf_transformation,[],[f118]) ).
fof(f2653,plain,
( spl144_157
| ~ spl144_220 ),
inference(avatar_split_clause,[],[f398,f2232,f1911]) ).
fof(f398,plain,
( ~ sP57
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f176]) ).
fof(f2631,plain,
( ~ spl144_309
| spl144_154 ),
inference(avatar_split_clause,[],[f799,f1896,f2628]) ).
fof(f799,plain,
( e23 = op2(e23,e22)
| ~ sP110 ),
inference(cnf_transformation,[],[f255]) ).
fof(f2623,plain,
( ~ spl144_308
| spl144_6 ),
inference(avatar_split_clause,[],[f824,f1216,f2620]) ).
fof(f824,plain,
( e21 = op2(e21,e23)
| ~ sP104 ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ( e23 = op2(e22,e22)
& e22 != op2(e22,e23)
& e21 = op2(e21,e23)
& e23 != op2(e21,e21) )
| ~ sP104 ),
inference(nnf_transformation,[],[f126]) ).
fof(f2618,plain,
( spl144_307
| spl144_38
| spl144_79
| spl144_74 ),
inference(avatar_split_clause,[],[f689,f1522,f1543,f1358,f2615]) ).
fof(f689,plain,
( e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2608,plain,
( ~ spl144_11
| ~ spl144_177 ),
inference(avatar_split_clause,[],[f515,f2013,f1238]) ).
fof(f515,plain,
( ~ sP28
| e10 != op1(e10,e12) ),
inference(cnf_transformation,[],[f205]) ).
fof(f2593,plain,
( spl144_14
| ~ spl144_238 ),
inference(avatar_split_clause,[],[f560,f2304,f1250]) ).
fof(f560,plain,
( ~ sP16
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f217]) ).
fof(f2581,plain,
( spl144_29
| ~ spl144_59 ),
inference(avatar_split_clause,[],[f2580,f1454,f1318]) ).
fof(f2580,plain,
( ~ sP99
| e21 = h2(e13) ),
inference(forward_demodulation,[],[f843,f1049]) ).
fof(f843,plain,
( ~ sP99
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f266]) ).
fof(f2500,plain,
( spl144_74
| ~ spl144_281 ),
inference(avatar_split_clause,[],[f974,f2497,f1522]) ).
fof(f974,plain,
( ~ sP67
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f298]) ).
fof(f2488,plain,
( spl144_279
| spl144_151
| spl144_15
| spl144_69 ),
inference(avatar_split_clause,[],[f1154,f1500,f1255,f1879,f2485]) ).
fof(f1154,plain,
( e23 = op2(e20,e23)
| e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2482,plain,
( ~ spl144_104
| spl144_146 ),
inference(avatar_split_clause,[],[f736,f1856,f1663]) ).
fof(f736,plain,
( e22 = op2(e23,e23)
| ~ sP126 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( ( e23 != op2(e23,e22)
& e22 != op2(e21,e21)
& e22 = op2(e23,e23)
& e21 = op2(e21,e22) )
| ~ sP126 ),
inference(nnf_transformation,[],[f148]) ).
fof(f2481,plain,
( spl144_15
| ~ spl144_278 ),
inference(avatar_split_clause,[],[f816,f2478,f1255]) ).
fof(f816,plain,
( ~ sP106
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e20 != op2(e20,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) = e23 )
| ~ sP106 ),
inference(nnf_transformation,[],[f128]) ).
fof(f2326,plain,
( ~ spl144_163
| ~ spl144_29 ),
inference(avatar_split_clause,[],[f2325,f1318,f1943]) ).
fof(f2325,plain,
( e21 != h2(e13)
| ~ sP98 ),
inference(forward_demodulation,[],[f850,f1049]) ).
fof(f850,plain,
( ~ sP98
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f267]) ).
fof(f2324,plain,
( spl144_241
| spl144_70
| spl144_82
| spl144_42 ),
inference(avatar_split_clause,[],[f687,f1376,f1557,f1504,f2321]) ).
fof(f687,plain,
( e21 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2318,plain,
( spl144_113
| ~ spl144_235 ),
inference(avatar_split_clause,[],[f511,f2292,f1707]) ).
fof(f511,plain,
( ~ sP29
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f204]) ).
fof(f2317,plain,
( ~ spl144_156
| spl144_113 ),
inference(avatar_split_clause,[],[f540,f1707,f1906]) ).
fof(f540,plain,
( e11 = op1(e11,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f212]) ).
fof(f2316,plain,
( spl144_107
| ~ spl144_240 ),
inference(avatar_split_clause,[],[f832,f2313,f1679]) ).
fof(f832,plain,
( ~ sP102
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e20 = op2(e23,e23)
& e23 != op2(e23,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ~ sP102 ),
inference(nnf_transformation,[],[f124]) ).
fof(f2200,plain,
( ~ spl144_212
| ~ spl144_164 ),
inference(avatar_split_clause,[],[f517,f1948,f2197]) ).
fof(f517,plain,
( e13 != op1(e13,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f206]) ).
fof(f2195,plain,
~ spl144_39,
inference(avatar_split_clause,[],[f2194,f1363]) ).
fof(f2194,plain,
~ sP24,
inference(subsumption_resolution,[],[f2193,f661]) ).
fof(f2193,plain,
( e12 = e13
| ~ sP24 ),
inference(forward_demodulation,[],[f528,f991]) ).
fof(f528,plain,
( ~ sP24
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ( e12 != op1(e13,e13)
& e10 != op1(e10,e12)
& e13 = op1(e13,e12)
& op1(e10,e10) = e12 )
| ~ sP24 ),
inference(nnf_transformation,[],[f45]) ).
fof(f2192,plain,
( spl144_41
| ~ spl144_211 ),
inference(avatar_split_clause,[],[f776,f2189,f1372]) ).
fof(f776,plain,
( ~ sP116
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e21 != op2(e22,e22)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e22 = op2(e22,e21) )
| ~ sP116 ),
inference(nnf_transformation,[],[f138]) ).
fof(f2173,plain,
( ~ spl144_158
| ~ spl144_35 ),
inference(avatar_split_clause,[],[f915,f1345,f1917]) ).
fof(f915,plain,
( e23 != op2(e23,e21)
| ~ sP81 ),
inference(cnf_transformation,[],[f284]) ).
fof(f2148,plain,
( ~ spl144_180
| spl144_31 ),
inference(avatar_split_clause,[],[f920,f1327,f2033]) ).
fof(f920,plain,
( op2(e20,e20) = e22
| ~ sP80 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( ( e20 != op2(e20,e22)
& e23 = op2(e23,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23) )
| ~ sP80 ),
inference(nnf_transformation,[],[f102]) ).
fof(f2136,plain,
( spl144_67
| ~ spl144_58 ),
inference(avatar_split_clause,[],[f500,f1448,f1489]) ).
fof(f500,plain,
( ~ sP31
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f202]) ).
fof(f2135,plain,
( ~ spl144_200
| spl144_41 ),
inference(avatar_split_clause,[],[f743,f1372,f2132]) ).
fof(f743,plain,
( op2(e20,e20) = e21
| ~ sP124 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ( op2(e20,e20) != e21
& e20 = op2(e20,e21)
& e20 != op2(e20,e21)
& op2(e20,e20) = e21 )
| ~ sP124 ),
inference(nnf_transformation,[],[f146]) ).
fof(f2130,plain,
( ~ spl144_118
| ~ spl144_199 ),
inference(avatar_split_clause,[],[f383,f2127,f1735]) ).
fof(f383,plain,
( e11 != op1(e13,e13)
| ~ sP61 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( e11 != op1(e13,e13)
& e11 = op1(e12,e12)
& e13 = op1(e13,e11)
& e12 != op1(e12,e11) )
| ~ sP61 ),
inference(nnf_transformation,[],[f82]) ).
fof(f2125,plain,
( ~ spl144_32
| spl144_31 ),
inference(avatar_split_clause,[],[f901,f1327,f1331]) ).
fof(f901,plain,
( op2(e20,e20) = e22
| ~ sP85 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ( e20 = op2(e20,e22)
& op2(e20,e20) = e22
& e20 != op2(e20,e22)
& op2(e20,e20) != e22 )
| ~ sP85 ),
inference(nnf_transformation,[],[f107]) ).
fof(f2124,plain,
( spl144_197
| spl144_198
| spl144_2
| spl144_94 ),
inference(avatar_split_clause,[],[f1167,f1614,f1199,f2121,f2117]) ).
fof(f1167,plain,
( e13 = op1(e11,e11)
| e13 = op1(e11,e13)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2115,plain,
( spl144_111
| ~ spl144_196 ),
inference(avatar_split_clause,[],[f374,f2112,f1698]) ).
fof(f374,plain,
( ~ sP63
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e10 != op1(e12,e12)
& e12 = op1(e12,e10)
& e10 = op1(e11,e11)
& e11 != op1(e11,e10) )
| ~ sP63 ),
inference(nnf_transformation,[],[f84]) ).
fof(f2105,plain,
( spl144_124
| spl144_185
| spl144_25
| spl144_7 ),
inference(avatar_split_clause,[],[f1057,f1221,f1300,f2058,f1764]) ).
fof(f1057,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e10 = op1(e12,e12)
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2104,plain,
( spl144_194
| ~ spl144_181 ),
inference(avatar_split_clause,[],[f717,f2038,f2101]) ).
fof(f717,plain,
( ~ sP130
| e21 = op2(e22,op2(e22,e21)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f2093,plain,
( ~ spl144_48
| ~ spl144_192 ),
inference(avatar_split_clause,[],[f567,f2090,f1403]) ).
fof(f567,plain,
( ~ sP15
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f218]) ).
fof(f2088,plain,
( ~ spl144_191
| ~ spl144_7 ),
inference(avatar_split_clause,[],[f551,f1221,f2085]) ).
fof(f551,plain,
( e13 != op1(e12,e12)
| ~ sP19 ),
inference(cnf_transformation,[],[f214]) ).
fof(f2083,plain,
( spl144_65
| spl144_64
| spl144_63
| spl144_190 ),
inference(avatar_split_clause,[],[f645,f2080,f1472,f1476,f1480]) ).
fof(f645,plain,
( e12 = op1(e12,op1(e12,e12))
| sP1
| sP2
| sP0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f2031,plain,
( spl144_178
| spl144_179
| spl144_9
| spl144_157 ),
inference(avatar_split_clause,[],[f1053,f1911,f1229,f2028,f2024]) ).
fof(f1053,plain,
( e12 = op1(e12,e13)
| e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2022,plain,
( spl144_29
| ~ spl144_84 ),
inference(avatar_split_clause,[],[f2021,f1566,f1318]) ).
fof(f2021,plain,
( ~ sP105
| e21 = h2(e13) ),
inference(forward_demodulation,[],[f819,f1049]) ).
fof(f819,plain,
( ~ sP105
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f260]) ).
fof(f2019,plain,
( spl144_94
| ~ spl144_49 ),
inference(avatar_split_clause,[],[f376,f1407,f1614]) ).
fof(f376,plain,
( ~ sP62
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f171]) ).
fof(f2017,plain,
( ~ spl144_25
| ~ spl144_149 ),
inference(avatar_split_clause,[],[f387,f1870,f1300]) ).
fof(f387,plain,
( ~ sP60
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f173]) ).
fof(f2011,plain,
( ~ spl144_124
| ~ spl144_176 ),
inference(avatar_split_clause,[],[f459,f2008,f1764]) ).
fof(f459,plain,
( ~ sP42
| e11 != op1(e12,e12) ),
inference(cnf_transformation,[],[f191]) ).
fof(f2005,plain,
( ~ spl144_113
| ~ spl144_175 ),
inference(avatar_split_clause,[],[f555,f2002,f1707]) ).
fof(f555,plain,
( ~ sP18
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1991,plain,
( ~ spl144_172
| ~ spl144_120 ),
inference(avatar_split_clause,[],[f1083,f1745,f1988]) ).
fof(f1745,plain,
( spl144_120
<=> sP139 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_120])]) ).
fof(f1083,plain,
( ~ sP139
| e20 != h1(e10) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
( ( e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10)
& e20 != h1(e13) )
| ~ sP139 ),
inference(nnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10)
& e20 != h1(e13) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f1967,plain,
( ~ spl144_106
| spl144_107 ),
inference(avatar_split_clause,[],[f927,f1679,f1675]) ).
fof(f927,plain,
( e20 = op2(e20,e20)
| ~ sP78 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( ( e20 != op2(e21,e21)
& e21 = op2(e21,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP78 ),
inference(nnf_transformation,[],[f100]) ).
fof(f1956,plain,
( ~ spl144_74
| ~ spl144_122 ),
inference(avatar_split_clause,[],[f806,f1755,f1522]) ).
fof(f806,plain,
( ~ sP109
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1946,plain,
( ~ spl144_82
| ~ spl144_163 ),
inference(avatar_split_clause,[],[f847,f1943,f1557]) ).
fof(f847,plain,
( ~ sP98
| e20 != op2(e20,e21) ),
inference(cnf_transformation,[],[f267]) ).
fof(f1920,plain,
( ~ spl144_158
| spl144_29 ),
inference(avatar_split_clause,[],[f1915,f1318,f1917]) ).
fof(f1915,plain,
( e21 = h2(e13)
| ~ sP81 ),
inference(forward_demodulation,[],[f918,f1049]) ).
fof(f918,plain,
( ~ sP81
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1914,plain,
( ~ spl144_108
| spl144_157 ),
inference(avatar_split_clause,[],[f420,f1911,f1684]) ).
fof(f420,plain,
( e12 = op1(e12,e13)
| ~ sP51 ),
inference(cnf_transformation,[],[f182]) ).
fof(f1904,plain,
( ~ spl144_155
| spl144_66 ),
inference(avatar_split_clause,[],[f615,f1485,f1901]) ).
fof(f615,plain,
( e11 = op1(e11,e12)
| ~ sP3 ),
inference(cnf_transformation,[],[f230]) ).
fof(f1888,plain,
( spl144_15
| ~ spl144_152 ),
inference(avatar_split_clause,[],[f752,f1885,f1255]) ).
fof(f752,plain,
( ~ sP122
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( ( e23 != op2(e23,e23)
& e21 != op2(e21,e23)
& e23 = op2(e23,e23)
& e23 = op2(e21,e21) )
| ~ sP122 ),
inference(nnf_transformation,[],[f144]) ).
fof(f1868,plain,
( spl144_25
| ~ spl144_148 ),
inference(avatar_split_clause,[],[f538,f1865,f1300]) ).
fof(f538,plain,
( ~ sP22
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f211]) ).
fof(f1854,plain,
( ~ spl144_145
| spl144_41 ),
inference(avatar_split_clause,[],[f807,f1372,f1851]) ).
fof(f807,plain,
( op2(e20,e20) = e21
| ~ sP108 ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( e20 != op2(e20,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& op2(e20,e20) = e21 )
| ~ sP108 ),
inference(nnf_transformation,[],[f130]) ).
fof(f1849,plain,
( ~ spl144_127
| spl144_88
| ~ spl144_128
| ~ spl144_129
| ~ spl144_130
| ~ spl144_131
| spl144_132
| ~ spl144_133
| ~ spl144_134
| ~ spl144_135
| ~ spl144_136
| ~ spl144_137
| ~ spl144_138
| ~ spl144_139
| ~ spl144_140
| ~ spl144_141
| ~ spl144_142
| spl144_120
| ~ spl144_143
| ~ spl144_144 ),
inference(avatar_split_clause,[],[f1125,f1846,f1842,f1745,f1838,f1834,f1830,f1826,f1822,f1818,f1814,f1810,f1806,f1802,f1798,f1794,f1790,f1786,f1782,f1586,f1778]) ).
fof(f1586,plain,
( spl144_88
<=> sP138 ),
introduced(avatar_definition,[new_symbols(naming,[spl144_88])]) ).
fof(f1125,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP139
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| e21 != h1(e11)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| sP140
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| sP138
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| ( e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e10)
& e22 != h2(e13) )
| sP143
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| sP142
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| sP141
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) )
& ( ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP140
| sP139
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| sP138
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10) )
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| sP137
| sP136
| sP135
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) )
& ( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e10)
& e20 != h4(e11) )
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| sP134
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP133
| sP132
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ) ),
inference(definition_folding,[],[f20,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155]) ).
fof(f155,plain,
( ( e22 != h4(e13)
& e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f156,plain,
( ( e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13)
& e23 != h4(e10) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f157,plain,
( ( e21 != h4(e11)
& e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e10) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f158,plain,
( ( e21 != h3(e12)
& e21 != h3(e13)
& e21 != h3(e10)
& e21 != h3(e11) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f159,plain,
( ( e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10)
& e22 != h3(e13) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f161,plain,
( ( e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f164,plain,
( ( e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12) )
| ~ sP141 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP141])]) ).
fof(f165,plain,
( ( e20 != h2(e10)
& e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11) )
| ~ sP142 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP142])]) ).
fof(f166,plain,
( ( e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e13) )
| ~ sP143 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP143])]) ).
fof(f20,plain,
( ( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| ( e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e10)
& e22 != h2(e13) )
| ( e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e13) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11) )
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| ( e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12) )
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) )
& ( ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| ( e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10) )
| ( e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10)
& e20 != h1(e13) )
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10) )
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10)
& e22 != h3(e13) )
| ( e21 != h3(e12)
& e21 != h3(e13)
& e21 != h3(e10)
& e21 != h3(e11) )
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) )
& ( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e10)
& e20 != h4(e11) )
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| ( e21 != h4(e11)
& e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e10) )
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ( e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12) )
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& ( e23 = h3(e11)
| e23 = h3(e13)
| e23 = h3(e10)
| e23 = h3(e12) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e13)
| e22 = h3(e10)
| e22 = h3(e11) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e12) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13)
| e20 = h3(e10) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) )
| ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& ( e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e10) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& ( e22 = h4(e11)
| e22 = h4(e10)
| e22 = h4(e12)
| e22 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e11)
| e21 = h4(e13) )
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e11) )
& ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e11) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
| ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e21 = h2(e11)
| e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e12) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& ( e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e10)
| e22 = h2(e13) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& ( e23 = h3(e11)
| e23 = h3(e13)
| e23 = h3(e10)
| e23 = h3(e12) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e13)
| e22 = h3(e10)
| e22 = h3(e11) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e12) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13)
| e20 = h3(e10) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) )
| ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& ( e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e10) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& ( e22 = h4(e11)
| e22 = h4(e10)
| e22 = h4(e12)
| e22 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e11)
| e21 = h4(e13) )
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e11) )
& ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e11) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
| ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e21 = h2(e11)
| e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e12) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& ( e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e10)
| e22 = h2(e13) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1771,plain,
( spl144_123
| spl144_124
| spl144_125
| spl144_66 ),
inference(avatar_split_clause,[],[f1191,f1485,f1768,f1764,f1760]) ).
fof(f1191,plain,
( e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1711,plain,
( ~ spl144_34
| spl144_62 ),
inference(avatar_split_clause,[],[f433,f1468,f1340]) ).
fof(f433,plain,
( e12 = op1(e13,e13)
| ~ sP48 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e13 != op1(e13,e12)
& e13 = op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13) )
| ~ sP48 ),
inference(nnf_transformation,[],[f69]) ).
fof(f1710,plain,
( ~ spl144_112
| ~ spl144_113 ),
inference(avatar_split_clause,[],[f418,f1707,f1703]) ).
fof(f418,plain,
( e11 != op1(e11,e11)
| ~ sP52 ),
inference(cnf_transformation,[],[f181]) ).
fof(f1687,plain,
( ~ spl144_7
| ~ spl144_108 ),
inference(avatar_split_clause,[],[f421,f1684,f1221]) ).
fof(f421,plain,
( ~ sP51
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f182]) ).
fof(f1668,plain,
( ~ spl144_83
| ~ spl144_35 ),
inference(avatar_split_clause,[],[f792,f1345,f1561]) ).
fof(f792,plain,
( e23 != op2(e23,e21)
| ~ sP112 ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e20 = op2(e20,e21)
& e21 = op2(e23,e23)
& e23 != op2(e23,e21)
& op2(e20,e20) != e21 )
| ~ sP112 ),
inference(nnf_transformation,[],[f134]) ).
fof(f1667,plain,
spl144_51,
inference(avatar_split_clause,[],[f668,f1416]) ).
fof(f668,plain,
op2(e20,e20) = e23,
inference(cnf_transformation,[],[f13]) ).
fof(f1607,plain,
( spl144_91
| spl144_22
| spl144_60
| spl144_92 ),
inference(avatar_split_clause,[],[f1184,f1604,f1459,f1286,f1600]) ).
fof(f1184,plain,
( e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1593,plain,
( ~ spl144_88
| ~ spl144_89 ),
inference(avatar_split_clause,[],[f1087,f1590,f1586]) ).
fof(f1087,plain,
( e22 != h1(e12)
| ~ sP138 ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
( ( e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11) )
| ~ sP138 ),
inference(nnf_transformation,[],[f161]) ).
fof(f1584,plain,
( ~ spl144_87
| spl144_80 ),
inference(avatar_split_clause,[],[f454,f1548,f1581]) ).
fof(f454,plain,
( e13 = op1(e13,e10)
| ~ sP43 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e10 = op1(e12,e12)
& e12 != op1(e12,e10) )
| ~ sP43 ),
inference(nnf_transformation,[],[f64]) ).
fof(f1579,plain,
( spl144_14
| ~ spl144_86 ),
inference(avatar_split_clause,[],[f477,f1576,f1250]) ).
fof(f477,plain,
( ~ sP37
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f196]) ).
fof(f1574,plain,
( ~ spl144_66
| ~ spl144_85 ),
inference(avatar_split_clause,[],[f414,f1571,f1485]) ).
fof(f414,plain,
( ~ sP53
| e11 != op1(e11,e12) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1564,plain,
( spl144_82
| ~ spl144_83 ),
inference(avatar_split_clause,[],[f794,f1561,f1557]) ).
fof(f794,plain,
( ~ sP112
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f253]) ).
fof(f1546,plain,
( ~ spl144_78
| spl144_79 ),
inference(avatar_split_clause,[],[f783,f1543,f1539]) ).
fof(f783,plain,
( e21 = op2(e22,e22)
| ~ sP114 ),
inference(cnf_transformation,[],[f251]) ).
fof(f1457,plain,
( ~ spl144_29
| ~ spl144_59 ),
inference(avatar_split_clause,[],[f1452,f1454,f1318]) ).
fof(f1452,plain,
( ~ sP99
| e21 != h2(e13) ),
inference(forward_demodulation,[],[f846,f1049]) ).
fof(f846,plain,
( e21 != op2(e21,e21)
| ~ sP99 ),
inference(cnf_transformation,[],[f266]) ).
fof(f1423,plain,
( ~ spl144_50
| ~ spl144_51
| spl144_52 ),
inference(avatar_split_clause,[],[f724,f1420,f1416,f1412]) ).
fof(f724,plain,
( e20 = op2(e20,e23)
| op2(e20,e20) != e23
| ~ sP129 ),
inference(cnf_transformation,[],[f236]) ).
fof(f1410,plain,
( spl144_48
| ~ spl144_49 ),
inference(avatar_split_clause,[],[f377,f1407,f1403]) ).
fof(f377,plain,
( ~ sP62
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1401,plain,
( spl144_46
| ~ spl144_47 ),
inference(avatar_split_clause,[],[f839,f1398,f1394]) ).
fof(f839,plain,
( ~ sP100
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1383,plain,
( spl144_40
| spl144_41
| spl144_42
| spl144_43 ),
inference(avatar_split_clause,[],[f1150,f1380,f1376,f1372,f1368]) ).
fof(f1150,plain,
( e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1325,plain,
( ~ spl144_29
| ~ spl144_30 ),
inference(avatar_split_clause,[],[f1316,f1322,f1318]) ).
fof(f1316,plain,
( ~ sP90
| e21 != h2(e13) ),
inference(forward_demodulation,[],[f880,f1049]) ).
fof(f880,plain,
( e21 != op2(e21,e21)
| ~ sP90 ),
inference(cnf_transformation,[],[f275]) ).
fof(f1315,plain,
( spl144_25
| spl144_26
| spl144_27
| spl144_28 ),
inference(avatar_split_clause,[],[f1179,f1312,f1308,f1304,f1300]) ).
fof(f1179,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e13,e12)
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1289,plain,
( ~ spl144_21
| spl144_22 ),
inference(avatar_split_clause,[],[f590,f1286,f1282]) ).
fof(f590,plain,
( op1(e10,e10) = e11
| ~ sP9 ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( e12 = op1(e12,e11)
& op1(e10,e10) = e11
& e10 != op1(e10,e11)
& e11 != op1(e12,e12) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1280,plain,
( ~ spl144_19
| spl144_20 ),
inference(avatar_split_clause,[],[f851,f1277,f1273]) ).
fof(f851,plain,
( e22 = op2(e21,e21)
| ~ sP97 ),
inference(cnf_transformation,[],[f268]) ).
fof(f1271,plain,
( ~ spl144_17
| spl144_18 ),
inference(avatar_split_clause,[],[f758,f1268,f1264]) ).
fof(f758,plain,
( e20 = op2(e21,e21)
| ~ sP121 ),
inference(cnf_transformation,[],[f244]) ).
fof(f1253,plain,
( spl144_11
| spl144_12
| spl144_13
| spl144_14 ),
inference(avatar_split_clause,[],[f1163,f1250,f1246,f1242,f1238]) ).
fof(f1163,plain,
( e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1236,plain,
( spl144_7
| spl144_8
| spl144_9
| spl144_10 ),
inference(avatar_split_clause,[],[f1180,f1233,f1229,f1225,f1221]) ).
fof(f1180,plain,
( e13 = op1(e12,e11)
| e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1210,plain,
( spl144_1
| spl144_2
| spl144_3
| spl144_4 ),
inference(avatar_split_clause,[],[f1059,f1207,f1203,f1199,f1195]) ).
fof(f1059,plain,
( e10 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG129+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:57:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (8976)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)
% 0.20/0.53 % (8982)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 % (8985)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)
% 1.30/0.54 % (8996)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)
% 1.30/0.54 % (8980)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.54 % (8984)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.55 % (8984)Instruction limit reached!
% 1.30/0.55 % (8984)------------------------------
% 1.30/0.55 % (8984)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55 % (8984)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55 % (8984)Termination reason: Unknown
% 1.30/0.55 % (8984)Termination phase: Preprocessing 1
% 1.30/0.55
% 1.30/0.55 % (8984)Memory used [KB]: 1023
% 1.30/0.55 % (8984)Time elapsed: 0.002 s
% 1.30/0.55 % (8984)Instructions burned: 2 (million)
% 1.30/0.55 % (8984)------------------------------
% 1.30/0.55 % (8984)------------------------------
% 1.30/0.55 % (8986)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.55 % (8992)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)
% 1.30/0.55 % (8990)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)
% 1.30/0.55 % (9003)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)
% 1.30/0.55 % (8999)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)
% 1.30/0.55 % (8977)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)
% 1.30/0.55 % (8981)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)
% 1.30/0.56 % (8979)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)
% 1.30/0.56 % (8987)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)
% 1.30/0.56 % (9002)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)
% 1.30/0.56 % (9001)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.46/0.56 % (8975)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)
% 1.46/0.56 % (8994)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.56 % (8995)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)
% 1.46/0.56 % (8983)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.57 % (8989)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.57 % (9006)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)
% 1.46/0.57 % (8997)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.46/0.57 % (8998)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)
% 1.46/0.57 % (8988)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.46/0.57 % (8993)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.46/0.57 % (8991)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)
% 1.46/0.58 % (9000)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.46/0.58 % (9005)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.46/0.58 % (8982)Instruction limit reached!
% 1.46/0.58 % (8982)------------------------------
% 1.46/0.58 % (8982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.58 % (8982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.58 % (8982)Termination reason: Unknown
% 1.46/0.58 % (8982)Termination phase: Finite model building preprocessing
% 1.46/0.58
% 1.46/0.58 % (8982)Memory used [KB]: 2558
% 1.46/0.58 % (8982)Time elapsed: 0.041 s
% 1.46/0.58 % (8982)Instructions burned: 53 (million)
% 1.46/0.58 % (8982)------------------------------
% 1.46/0.58 % (8982)------------------------------
% 1.46/0.59 % (8983)Instruction limit reached!
% 1.46/0.59 % (8983)------------------------------
% 1.46/0.59 % (8983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.59 % (8983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.59 % (8983)Termination reason: Unknown
% 1.46/0.59 % (8983)Termination phase: Preprocessing 3
% 1.46/0.59
% 1.46/0.59 % (8983)Memory used [KB]: 1279
% 1.46/0.59 % (8983)Time elapsed: 0.005 s
% 1.46/0.59 % (8983)Instructions burned: 9 (million)
% 1.46/0.59 % (8983)------------------------------
% 1.46/0.59 % (8983)------------------------------
% 1.46/0.59 % (8976)Instruction limit reached!
% 1.46/0.59 % (8976)------------------------------
% 1.46/0.59 % (8976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60 % (8985)Instruction limit reached!
% 1.46/0.60 % (8985)------------------------------
% 1.46/0.60 % (8985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60 % (8985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60 % (8985)Termination reason: Unknown
% 1.46/0.60 % (8985)Termination phase: Saturation
% 1.46/0.60
% 1.46/0.60 % (8985)Memory used [KB]: 1791
% 1.46/0.60 % (8985)Time elapsed: 0.025 s
% 1.46/0.60 % (8985)Instructions burned: 51 (million)
% 1.46/0.60 % (8985)------------------------------
% 1.46/0.60 % (8985)------------------------------
% 1.46/0.60 % (8977)Instruction limit reached!
% 1.46/0.60 % (8977)------------------------------
% 1.46/0.60 % (8977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60 % (8977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60 % (8977)Termination reason: Unknown
% 1.46/0.60 % (8977)Termination phase: Saturation
% 1.46/0.60
% 1.46/0.60 % (8977)Memory used [KB]: 1663
% 1.46/0.60 % (8977)Time elapsed: 0.017 s
% 1.46/0.60 % (8977)Instructions burned: 37 (million)
% 1.46/0.60 % (8977)------------------------------
% 1.46/0.60 % (8977)------------------------------
% 1.46/0.60 % (8976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60 % (8976)Termination reason: Unknown
% 1.46/0.60 % (8976)Termination phase: Saturation
% 1.46/0.60
% 1.46/0.60 % (8976)Memory used [KB]: 7419
% 1.46/0.60 % (8976)Time elapsed: 0.026 s
% 1.46/0.60 % (8976)Instructions burned: 51 (million)
% 1.46/0.60 % (8976)------------------------------
% 1.46/0.60 % (8976)------------------------------
% 1.46/0.61 % (8979)Instruction limit reached!
% 1.46/0.61 % (8979)------------------------------
% 1.46/0.61 % (8979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61 % (8979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61 % (8979)Termination reason: Unknown
% 1.46/0.61 % (8979)Termination phase: 8979 Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/0.61 % (8979)------------------------------
% 1.46/0.61 % (8979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61 % (8979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61 % (8979)Termination reason: Unknown
% 1.46/0.62 % (8981)Instruction limit reached!
% 1.46/0.62 % (8981)------------------------------
% 1.46/0.62 % (8981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62 % (8981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62 % (8981)Termination reason: Unknown
% 1.46/0.62 % (8981)Termination phase: Saturation
% 1.46/0.62
% 1.46/0.62 % (8981)Memory used [KB]: 7675
% 1.46/0.62 % (8981)Time elapsed: 0.190 s
% 1.46/0.62 % (8981)Instructions burned: 50 (million)
% 1.46/0.62 % (8981)------------------------------
% 1.46/0.62 % (8981)------------------------------
% 1.46/0.62 % (8980)Instruction limit reached!
% 1.46/0.62 % (8980)------------------------------
% 1.46/0.62 % (8980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62 % (8980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62 % (8980)Termination reason: Unknown
% 1.46/0.62 % (8980)Termination phase: Saturation
% 1.46/0.62
% 1.46/0.62 % (8980)Memory used [KB]: 6780
% 1.46/0.62 % (8980)Time elapsed: 0.021 s
% 1.46/0.62 % (8980)Instructions burned: 52 (million)
% 1.46/0.62 % (8980)------------------------------
% 1.46/0.62 % (8980)------------------------------
% 1.46/0.63 % (8986)Instruction limit reached!
% 1.46/0.63 % (8986)------------------------------
% 1.46/0.63 % (8986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63 % (8986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.63 % (8986)Termination reason: Unknown
% 1.46/0.63 % (8986)Termination phase: Saturation
% 1.46/0.63
% 1.46/0.63 % (8986)Memory used [KB]: 7419
% 1.46/0.63 % (8986)Time elapsed: 0.024 s
% 1.46/0.63 % (8986)Instructions burned: 50 (million)
% 1.46/0.63 % (8986)------------------------------
% 1.46/0.63 % (8986)------------------------------
% 1.46/0.63 % (8990)Instruction limit reached!
% 1.46/0.63 % (8990)------------------------------
% 1.46/0.63 % (8990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.63 % (8990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.63 % (8990)Termination reason: Unknown
% 1.46/0.63 % (8990)Termination phase: Saturation
% 1.46/0.63
% 1.46/0.63 % (8990)Memory used [KB]: 7419
% 1.46/0.63 % (8990)Time elapsed: 0.050 s
% 1.46/0.63 % (8990)Instructions burned: 68 (million)
% 1.46/0.63 % (8990)------------------------------
% 1.46/0.63 % (8990)------------------------------
% 2.05/0.65 % (8992)Instruction limit reached!
% 2.05/0.65 % (8992)------------------------------
% 2.05/0.65 % (8992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.65 % (8992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.65 % (8992)Termination reason: Unknown
% 2.05/0.65 % (8992)Termination phase: Saturation
% 2.05/0.65
% 2.05/0.65 % (8992)Memory used [KB]: 7803
% 2.05/0.66 % (8992)Time elapsed: 0.233 s
% 2.05/0.66 % (8992)Instructions burned: 100 (million)
% 2.05/0.66 % (8992)------------------------------
% 2.05/0.66 % (8992)------------------------------
% 2.05/0.66 % (8993)Instruction limit reached!
% 2.05/0.66 % (8993)------------------------------
% 2.05/0.66 % (8993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.67 % (9002)Instruction limit reached!
% 2.05/0.67 % (9002)------------------------------
% 2.05/0.67 % (9002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.67 % (8993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.67 % (8993)Termination reason: Unknown
% 2.05/0.67 % (8993)Termination phase: Blocked clause elimination
% 2.05/0.67
% 2.05/0.67 % (8993)Memory used [KB]: 1535
% 2.05/0.67 % (8993)Time elapsed: 0.034 s
% 2.05/0.67 % (8993)Instructions burned: 59 (million)
% 2.05/0.67 % (8993)------------------------------
% 2.05/0.67 % (8993)------------------------------
% 2.22/0.68 % (9002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68 % (9002)Termination reason: Unknown
% 2.22/0.68 % (9002)Termination phase: Saturation
% 2.22/0.68
% 2.22/0.68 % (9002)Memory used [KB]: 7419
% 2.22/0.68 % (9002)Time elapsed: 0.033 s
% 2.22/0.68 % (9002)Instructions burned: 69 (million)
% 2.22/0.68 % (9002)------------------------------
% 2.22/0.68 % (9002)------------------------------
% 2.22/0.68 % (8991)Instruction limit reached!
% 2.22/0.68 % (8991)------------------------------
% 2.22/0.68 % (8991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68 % (8991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68 % (8991)Termination reason: Unknown
% 2.22/0.68 % (8991)Termination phase: Saturation
% 2.22/0.68
% 2.22/0.68 % (8991)Memory used [KB]: 2046
% 2.22/0.68 % (8991)Time elapsed: 0.033 s
% 2.22/0.68 % (8991)Instructions burned: 75 (million)
% 2.22/0.68 % (8991)------------------------------
% 2.22/0.68 % (8991)------------------------------
% 2.22/0.68 % (8987)Instruction limit reached!
% 2.22/0.68 % (8987)------------------------------
% 2.22/0.68 % (8987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68 % (8987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68 % (8987)Termination reason: Unknown
% 2.22/0.68 % (8987)Termination phase: Saturation
% 2.22/0.68
% 2.22/0.68 % (8987)Memory used [KB]: 8059
% 2.22/0.68 % (8987)Time elapsed: 0.045 s
% 2.22/0.68 % (8987)Instructions burned: 100 (million)
% 2.22/0.68 % (8987)------------------------------
% 2.22/0.68 % (8987)------------------------------
% 2.22/0.70 % (9073)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.22/0.70 % (8995)Instruction limit reached!
% 2.22/0.70 % (8995)------------------------------
% 2.22/0.70 % (8995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.70 % (8988)Instruction limit reached!
% 2.22/0.70 % (8988)------------------------------
% 2.22/0.70 % (8988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.70 % (8988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.70 % (8988)Termination reason: Unknown
% 2.22/0.70 % (8988)Termination phase: Saturation
% 2.22/0.70
% 2.22/0.70 % (8988)Memory used [KB]: 8315
% 2.22/0.70 % (8988)Time elapsed: 0.276 s
% 2.22/0.70 % (8988)Instructions burned: 101 (million)
% 2.22/0.70 % (8988)------------------------------
% 2.22/0.70 % (8988)------------------------------
% 2.22/0.70 % (9075)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)
% 2.22/0.71 % (8994)Instruction limit reached!
% 2.22/0.71 % (8994)------------------------------
% 2.22/0.71 % (8994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.71 % (8994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.71 % (8994)Termination reason: Unknown
% 2.22/0.71 % (8994)Termination phase: Saturation
% 2.22/0.71
% 2.22/0.71 % (8994)Memory used [KB]: 8187
% 2.22/0.71 % (8994)Time elapsed: 0.049 s
% 2.22/0.71 % (8994)Instructions burned: 101 (million)
% 2.22/0.71 % (8994)------------------------------
% 2.22/0.71 % (8994)------------------------------
% 2.22/0.71 % (8989)Instruction limit reached!
% 2.22/0.71 % (8989)------------------------------
% 2.22/0.71 % (8989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.71 % (8989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.71 % (8989)Termination reason: Unknown
% 2.22/0.71 % (8989)Termination phase: Saturation
% 2.22/0.71
% 2.22/0.71 % (8989)Memory used [KB]: 8059
% 2.22/0.71 % (8989)Time elapsed: 0.296 s
% 2.22/0.71 % (8989)Instructions burned: 100 (million)
% 2.22/0.71 % (8989)------------------------------
% 2.22/0.71 % (8989)------------------------------
% 2.22/0.71 % (9062)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 (2997ds/388Mi)
% 2.22/0.71 % (8995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.71 % (8995)Termination reason: Unknown
% 2.22/0.71 % (8995)Termination phase: Saturation
% 2.22/0.71
% 2.22/0.71 % (8995)Memory used [KB]: 1918
% 2.22/0.71 % (8995)Time elapsed: 0.046 s
% 2.22/0.71 % (8995)Instructions burned: 101 (million)
% 2.22/0.71 % (8995)------------------------------
% 2.22/0.71 % (8995)------------------------------
% 2.22/0.71 % (9071)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)
% 2.22/0.73 % (9072)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)
% 2.22/0.73 % (9074)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.22/0.73 % (9082)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)
% 2.57/0.75 % (8996)First to succeed.
% 2.57/0.76 % (9083)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)
% 2.63/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.63/0.77 % (9087)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)
% 2.63/0.78 % (9117)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 (2996ds/4958Mi)
% 2.63/0.79 % (9110)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 (2996ds/2016Mi)
% 2.63/0.79 % (9088)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)
% 2.63/0.79 % (9100)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)
% 2.63/0.80 TRYING [8]
% 2.63/0.81 % (8999)Also succeeded, but the first one will report.
% 2.63/0.81 % (8997)Also succeeded, but the first one will report.
% 2.63/0.81 % (8996)Refutation found. Thanks to Tanya!
% 2.63/0.81 % SZS status Theorem for theBenchmark
% 2.63/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/0.82 % (8996)------------------------------
% 2.76/0.82 % (8996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.82 % (8996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.82 % (8996)Termination reason: Refutation
% 2.76/0.82
% 2.76/0.82 % (8996)Memory used [KB]: 9210
% 2.76/0.82 % (8996)Time elapsed: 0.098 s
% 2.76/0.82 % (8996)Instructions burned: 120 (million)
% 2.76/0.82 % (8996)------------------------------
% 2.76/0.82 % (8996)------------------------------
% 2.76/0.82 % (8958)Success in time 0.448 s
%------------------------------------------------------------------------------