TSTP Solution File: ALG047+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG047+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:18 EDT 2022
% Result : Theorem 2.80s 0.82s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 428
% Syntax : Number of formulae : 2250 ( 231 unt; 0 def)
% Number of atoms : 9481 (5222 equ)
% Maximal formula atoms : 650 ( 4 avg)
% Number of connectives : 11578 (4347 ~;5319 |;1631 &)
% ( 281 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 423 ( 421 usr; 422 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7269,plain,
$false,
inference(avatar_sat_refutation,[],[f1269,f1278,f1312,f1321,f1343,f1612,f1617,f1647,f1661,f1679,f1688,f1693,f1707,f1733,f1738,f1747,f1765,f1770,f1798,f1887,f1902,f1929,f1930,f1935,f1936,f2026,f2131,f2144,f2145,f2150,f2156,f2161,f2166,f2232,f2242,f2244,f2246,f2251,f2252,f2260,f2269,f2279,f2281,f2287,f2297,f2300,f2316,f2318,f2319,f2328,f2348,f2353,f2354,f2368,f2369,f2370,f2374,f2375,f2390,f2398,f2399,f2400,f2401,f2415,f2428,f2429,f2430,f2448,f2453,f2464,f2466,f2494,f2499,f2508,f2509,f2510,f2511,f2512,f2513,f2522,f2534,f2545,f2549,f2555,f2561,f2570,f2573,f2578,f2591,f2596,f2602,f2603,f2612,f2618,f2619,f2621,f2623,f2625,f2638,f2639,f2640,f2642,f2643,f2644,f2645,f2656,f2657,f2663,f2664,f2667,f2677,f2678,f2684,f2687,f2697,f2715,f2717,f2718,f2720,f2731,f2732,f2746,f2755,f2756,f2757,f2759,f2760,f2763,f2765,f2766,f2767,f2769,f2771,f2775,f2783,f2784,f2787,f2790,f2791,f2792,f2798,f2803,f2816,f2821,f2823,f2824,f2825,f2827,f2837,f2838,f2839,f2840,f2841,f2842,f2852,f2853,f2856,f2867,f2876,f2885,f2894,f2895,f2896,f2898,f2907,f2908,f2909,f2911,f2912,f2914,f2926,f2930,f2934,f2937,f2938,f2943,f2944,f2954,f2958,f2962,f2966,f2969,f2970,f2972,f2973,f2975,f2978,f2980,f2982,f2985,f2990,f2994,f2997,f2999,f3001,f3002,f3003,f3005,f3014,f3017,f3018,f3020,f3025,f3026,f3028,f3029,f3038,f3051,f3052,f3054,f3055,f3056,f3057,f3064,f3065,f3066,f3067,f3068,f3077,f3080,f3084,f3085,f3095,f3099,f3107,f3109,f3110,f3120,f3132,f3133,f3135,f3136,f3141,f3142,f3155,f3156,f3160,f3164,f3167,f3168,f3169,f3170,f3171,f3173,f3175,f3178,f3180,f3184,f3185,f3186,f3198,f3201,f3202,f3205,f3206,f3219,f3221,f3232,f3233,f3234,f3235,f3236,f3258,f3259,f3261,f3262,f3264,f3285,f3324,f3327,f3328,f3330,f3372,f3373,f3374,f3377,f3398,f3399,f3419,f3429,f3432,f3448,f3459,f3463,f3488,f3493,f3498,f3523,f3546,f3567,f3587,f3650,f3656,f3659,f3669,f3674,f3711,f3762,f3789,f3831,f3855,f3901,f3916,f3926,f3929,f3937,f3940,f3942,f3949,f3952,f3964,f3970,f3973,f3978,f3987,f3988,f4000,f4028,f4041,f4054,f4056,f4058,f4067,f4069,f4072,f4082,f4089,f4108,f4114,f4117,f4118,f4147,f4150,f4157,f4163,f4195,f4225,f4231,f4236,f4278,f4282,f4284,f4286,f4305,f4317,f4320,f4341,f4345,f4355,f4357,f4360,f4373,f4378,f4381,f4386,f4404,f4417,f4432,f4489,f4495,f4595,f4610,f4683,f4689,f4721,f4726,f4729,f4747,f4764,f4767,f4774,f4797,f4815,f4852,f4872,f4874,f4877,f4901,f4972,f4979,f4986,f4996,f5000,f5030,f5035,f5037,f5057,f5109,f5161,f5171,f5186,f5192,f5193,f5200,f5210,f5212,f5239,f5241,f5259,f5281,f5294,f5298,f5324,f5325,f5356,f5372,f5375,f5392,f5400,f5418,f5426,f5447,f5449,f5464,f5492,f5507,f5533,f5545,f5571,f5575,f5578,f5581,f5589,f5613,f5618,f5647,f5662,f5672,f5682,f5699,f5752,f5781,f5787,f5799,f5804,f5809,f5811,f5817,f5822,f5824,f5832,f5834,f5838,f5843,f5845,f5846,f5858,f5871,f5873,f5881,f5884,f5900,f5904,f5975,f5993,f5998,f6000,f6004,f6008,f6021,f6033,f6038,f6048,f6060,f6062,f6089,f6097,f6112,f6113,f6116,f6157,f6176,f6180,f6185,f6188,f6227,f6261,f6270,f6296,f6303,f6330,f6339,f6346,f6382,f6393,f6437,f6449,f6454,f6457,f6462,f6464,f6472,f6481,f6497,f6505,f6525,f6529,f6537,f6542,f6621,f6637,f6639,f6651,f6659,f6675,f6678,f6697,f6699,f6710,f6719,f6797,f6805,f6827,f6830,f6839,f6841,f6849,f6850,f6853,f6862,f6902,f6961,f6986,f6996,f7001,f7002,f7015,f7018,f7020,f7027,f7035,f7081,f7082,f7088,f7097,f7099,f7101,f7161,f7163,f7213,f7221,f7225,f7229,f7242,f7268]) ).
fof(f7268,plain,
( spl140_50
| ~ spl140_97
| ~ spl140_272
| ~ spl140_338 ),
inference(avatar_contradiction_clause,[],[f7267]) ).
fof(f7267,plain,
( $false
| spl140_50
| ~ spl140_97
| ~ spl140_272
| ~ spl140_338 ),
inference(subsumption_resolution,[],[f7266,f1470]) ).
fof(f1470,plain,
( e1 != unit
| spl140_50 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1469,plain,
( spl140_50
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_50])]) ).
fof(f7266,plain,
( e1 = unit
| ~ spl140_97
| ~ spl140_272
| ~ spl140_338 ),
inference(forward_demodulation,[],[f7265,f1669]) ).
fof(f1669,plain,
( op(e4,e3) = unit
| ~ spl140_97 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1667,plain,
( spl140_97
<=> op(e4,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_97])]) ).
fof(f7265,plain,
( e1 = op(e4,e3)
| ~ spl140_272
| ~ spl140_338 ),
inference(forward_demodulation,[],[f3119,f2498]) ).
fof(f2498,plain,
( e3 = op(e4,e1)
| ~ spl140_272 ),
inference(avatar_component_clause,[],[f2496]) ).
fof(f2496,plain,
( spl140_272
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_272])]) ).
fof(f3119,plain,
( e1 = op(e4,op(e4,e1))
| ~ spl140_338 ),
inference(avatar_component_clause,[],[f3117]) ).
fof(f3117,plain,
( spl140_338
<=> e1 = op(e4,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_338])]) ).
fof(f7242,plain,
( spl140_15
| ~ spl140_154
| ~ spl140_293
| ~ spl140_336 ),
inference(avatar_contradiction_clause,[],[f7241]) ).
fof(f7241,plain,
( $false
| spl140_15
| ~ spl140_154
| ~ spl140_293
| ~ spl140_336 ),
inference(subsumption_resolution,[],[f7240,f1324]) ).
fof(f1324,plain,
( e3 != unit
| spl140_15 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1323,plain,
( spl140_15
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_15])]) ).
fof(f7240,plain,
( e3 = unit
| ~ spl140_154
| ~ spl140_293
| ~ spl140_336 ),
inference(forward_demodulation,[],[f7239,f2662]) ).
fof(f2662,plain,
( op(e1,e4) = unit
| ~ spl140_293 ),
inference(avatar_component_clause,[],[f2660]) ).
fof(f2660,plain,
( spl140_293
<=> op(e1,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_293])]) ).
fof(f7239,plain,
( e3 = op(e1,e4)
| ~ spl140_154
| ~ spl140_336 ),
inference(forward_demodulation,[],[f3094,f1924]) ).
fof(f1924,plain,
( e4 = op(e1,e3)
| ~ spl140_154 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f1922,plain,
( spl140_154
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_154])]) ).
fof(f3094,plain,
( e3 = op(e1,op(e1,e3))
| ~ spl140_336 ),
inference(avatar_component_clause,[],[f3092]) ).
fof(f3092,plain,
( spl140_336
<=> e3 = op(e1,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_336])]) ).
fof(f7229,plain,
( ~ spl140_307
| ~ spl140_277 ),
inference(avatar_split_clause,[],[f7228,f2531,f2795]) ).
fof(f2795,plain,
( spl140_307
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_307])]) ).
fof(f2531,plain,
( spl140_277
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_277])]) ).
fof(f7228,plain,
( e1 != op(e4,e3)
| ~ spl140_277 ),
inference(forward_demodulation,[],[f757,f2532]) ).
fof(f2532,plain,
( e1 = op(e4,e2)
| ~ spl140_277 ),
inference(avatar_component_clause,[],[f2531]) ).
fof(f757,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op(e1,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e2,e3) != op(e3,e3)
& op(e3,e3) != op(e3,e4)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e4)
& op(e1,e4) != op(e2,e4)
& op(e4,e0) != op(e4,e2)
& op(e0,e2) != op(e0,e4)
& op(e1,e0) != op(e1,e3)
& op(e0,e4) != op(e2,e4)
& op(e4,e2) != op(e4,e4)
& op(e0,e0) != op(e0,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e4) != op(e4,e4)
& op(e0,e3) != op(e4,e3)
& op(e1,e1) != op(e1,e3)
& op(e0,e3) != op(e3,e3)
& op(e3,e2) != op(e3,e3)
& op(e0,e1) != op(e1,e1)
& op(e3,e1) != op(e3,e2)
& op(e2,e1) != op(e4,e1)
& op(e1,e0) != op(e1,e1)
& op(e0,e0) != op(e1,e0)
& op(e3,e1) != op(e4,e1)
& op(e4,e1) != op(e4,e2)
& op(e0,e0) != op(e3,e0)
& op(e1,e2) != op(e1,e3)
& op(e0,e4) != op(e1,e4)
& op(e1,e0) != op(e3,e0)
& op(e2,e4) != op(e3,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e3) != op(e1,e4)
& op(e2,e3) != op(e4,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e2) != op(e0,e3)
& op(e2,e2) != op(e2,e4)
& op(e0,e2) != op(e1,e2)
& op(e3,e0) != op(e3,e1)
& op(e1,e0) != op(e2,e0)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e2,e3)
& op(e3,e0) != op(e3,e3)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e4,e1)
& op(e4,e0) != op(e4,e4)
& op(e0,e0) != op(e4,e0)
& op(e2,e0) != op(e2,e2)
& op(e0,e1) != op(e4,e1)
& op(e2,e0) != op(e2,e3)
& op(e3,e1) != op(e3,e3)
& op(e1,e4) != op(e3,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e3,e2) != op(e3,e4)
& op(e1,e2) != op(e3,e2)
& op(e1,e0) != op(e1,e4)
& op(e2,e2) != op(e4,e2)
& op(e1,e1) != op(e3,e1)
& op(e3,e3) != op(e4,e3)
& op(e2,e4) != op(e4,e4)
& op(e0,e3) != op(e1,e3)
& op(e0,e2) != op(e2,e2)
& op(e0,e4) != op(e3,e4)
& op(e3,e0) != op(e3,e2)
& op(e2,e0) != op(e2,e1)
& op(e0,e0) != op(e0,e4)
& op(e2,e1) != op(e2,e4)
& op(e0,e1) != op(e3,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e3) != op(e2,e3)
& op(e4,e1) != op(e4,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e2)
& op(e0,e2) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e0,e1) != op(e0,e2)
& op(e1,e2) != op(e1,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e3) != op(e2,e4)
& op(e0,e0) != op(e2,e0)
& op(e3,e1) != op(e3,e4)
& op(e4,e1) != op(e4,e4)
& op(e0,e1) != op(e2,e1)
& op(e0,e4) != op(e4,e4)
& op(e3,e0) != op(e4,e0)
& op(e0,e0) != op(e0,e2)
& op(e4,e3) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e3,e4) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e2,e0) != op(e2,e4)
& op(e1,e2) != op(e2,e2)
& op(e2,e1) != op(e2,e2)
& op(e0,e1) != op(e0,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f7225,plain,
( ~ spl140_307
| ~ spl140_204 ),
inference(avatar_split_clause,[],[f7224,f2137,f2795]) ).
fof(f2137,plain,
( spl140_204
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_204])]) ).
fof(f7224,plain,
( e1 != op(e4,e3)
| ~ spl140_204 ),
inference(forward_demodulation,[],[f817,f2139]) ).
fof(f2139,plain,
( e1 = op(e2,e3)
| ~ spl140_204 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f817,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f7221,plain,
( ~ spl140_307
| spl140_256
| ~ spl140_265 ),
inference(avatar_split_clause,[],[f7220,f2461,f2411,f2795]) ).
fof(f2411,plain,
( spl140_256
<=> op(e3,e4) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_256])]) ).
fof(f2461,plain,
( spl140_265
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_265])]) ).
fof(f7220,plain,
( e1 != op(e4,e3)
| spl140_256
| ~ spl140_265 ),
inference(forward_demodulation,[],[f2412,f2463]) ).
fof(f2463,plain,
( e1 = op(e3,e4)
| ~ spl140_265 ),
inference(avatar_component_clause,[],[f2461]) ).
fof(f2412,plain,
( op(e3,e4) != op(e4,e3)
| spl140_256 ),
inference(avatar_component_clause,[],[f2411]) ).
fof(f7213,plain,
( spl140_60
| ~ spl140_146
| ~ spl140_177
| ~ spl140_265 ),
inference(avatar_contradiction_clause,[],[f7212]) ).
fof(f7212,plain,
( $false
| spl140_60
| ~ spl140_146
| ~ spl140_177
| ~ spl140_265 ),
inference(subsumption_resolution,[],[f7211,f1513]) ).
fof(f1513,plain,
( e4 != unit
| spl140_60 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1512,plain,
( spl140_60
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_60])]) ).
fof(f7211,plain,
( e4 = unit
| ~ spl140_146
| ~ spl140_177
| ~ spl140_265 ),
inference(forward_demodulation,[],[f7204,f2019]) ).
fof(f2019,plain,
( op(e3,e1) = unit
| ~ spl140_177 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2018,plain,
( spl140_177
<=> op(e3,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_177])]) ).
fof(f7204,plain,
( e4 = op(e3,e1)
| ~ spl140_146
| ~ spl140_265 ),
inference(backward_demodulation,[],[f1886,f2463]) ).
fof(f1886,plain,
( e4 = op(e3,op(e3,e4))
| ~ spl140_146 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f1884,plain,
( spl140_146
<=> e4 = op(e3,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_146])]) ).
fof(f7163,plain,
( ~ spl140_265
| ~ spl140_256
| ~ spl140_272
| spl140_338 ),
inference(avatar_split_clause,[],[f7162,f3117,f2496,f2411,f2461]) ).
fof(f7162,plain,
( e1 != op(e3,e4)
| ~ spl140_256
| ~ spl140_272
| spl140_338 ),
inference(forward_demodulation,[],[f7158,f2413]) ).
fof(f2413,plain,
( op(e3,e4) = op(e4,e3)
| ~ spl140_256 ),
inference(avatar_component_clause,[],[f2411]) ).
fof(f7158,plain,
( e1 != op(e4,e3)
| ~ spl140_272
| spl140_338 ),
inference(backward_demodulation,[],[f3118,f2498]) ).
fof(f3118,plain,
( e1 != op(e4,op(e4,e1))
| spl140_338 ),
inference(avatar_component_clause,[],[f3117]) ).
fof(f7161,plain,
( ~ spl140_154
| ~ spl140_272
| spl140_337 ),
inference(avatar_contradiction_clause,[],[f7160]) ).
fof(f7160,plain,
( $false
| ~ spl140_154
| ~ spl140_272
| spl140_337 ),
inference(subsumption_resolution,[],[f7157,f1924]) ).
fof(f7157,plain,
( e4 != op(e1,e3)
| ~ spl140_272
| spl140_337 ),
inference(backward_demodulation,[],[f3115,f2498]) ).
fof(f3115,plain,
( e4 != op(e1,op(e4,e1))
| spl140_337 ),
inference(avatar_component_clause,[],[f3113]) ).
fof(f3113,plain,
( spl140_337
<=> e4 = op(e1,op(e4,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_337])]) ).
fof(f7101,plain,
( ~ spl140_205
| ~ spl140_281 ),
inference(avatar_split_clause,[],[f7100,f2558,f2141]) ).
fof(f2141,plain,
( spl140_205
<=> e4 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_205])]) ).
fof(f2558,plain,
( spl140_281
<=> e4 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_281])]) ).
fof(f7100,plain,
( e4 != op(e2,e3)
| ~ spl140_281 ),
inference(forward_demodulation,[],[f797,f2559]) ).
fof(f2559,plain,
( e4 = op(e2,e1)
| ~ spl140_281 ),
inference(avatar_component_clause,[],[f2558]) ).
fof(f797,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f7099,plain,
( ~ spl140_272
| ~ spl140_154
| spl140_267 ),
inference(avatar_split_clause,[],[f7098,f2472,f1922,f2496]) ).
fof(f2472,plain,
( spl140_267
<=> e3 = op(op(e1,e3),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_267])]) ).
fof(f7098,plain,
( e3 != op(e4,e1)
| ~ spl140_154
| spl140_267 ),
inference(forward_demodulation,[],[f2473,f1924]) ).
fof(f2473,plain,
( e3 != op(op(e1,e3),e1)
| spl140_267 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f7097,plain,
( ~ spl140_156
| ~ spl140_277
| spl140_327 ),
inference(avatar_split_clause,[],[f7096,f3007,f2531,f1932]) ).
fof(f1932,plain,
( spl140_156
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_156])]) ).
fof(f3007,plain,
( spl140_327
<=> e2 = op(e4,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_327])]) ).
fof(f7096,plain,
( e2 != op(e4,e1)
| ~ spl140_277
| spl140_327 ),
inference(forward_demodulation,[],[f3008,f2532]) ).
fof(f3008,plain,
( e2 != op(e4,op(e4,e2))
| spl140_327 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f7088,plain,
( ~ spl140_116
| ~ spl140_177 ),
inference(avatar_split_clause,[],[f7087,f2018,f1753]) ).
fof(f1753,plain,
( spl140_116
<=> op(e4,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_116])]) ).
fof(f7087,plain,
( op(e4,e1) != unit
| ~ spl140_177 ),
inference(forward_demodulation,[],[f826,f2019]) ).
fof(f826,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f7082,plain,
( ~ spl140_205
| ~ spl140_154 ),
inference(avatar_split_clause,[],[f7079,f1922,f2141]) ).
fof(f7079,plain,
( e4 != op(e2,e3)
| ~ spl140_154 ),
inference(backward_demodulation,[],[f778,f1924]) ).
fof(f778,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f7081,plain,
( spl140_265
| ~ spl140_154
| ~ spl140_335 ),
inference(avatar_split_clause,[],[f7078,f3088,f1922,f2461]) ).
fof(f3088,plain,
( spl140_335
<=> e1 = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_335])]) ).
fof(f7078,plain,
( e1 = op(e3,e4)
| ~ spl140_154
| ~ spl140_335 ),
inference(backward_demodulation,[],[f3089,f1924]) ).
fof(f3089,plain,
( e1 = op(e3,op(e1,e3))
| ~ spl140_335 ),
inference(avatar_component_clause,[],[f3088]) ).
fof(f7035,plain,
( ~ spl140_211
| spl140_105
| ~ spl140_256 ),
inference(avatar_split_clause,[],[f7034,f2411,f1704,f2173]) ).
fof(f2173,plain,
( spl140_211
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_211])]) ).
fof(f1704,plain,
( spl140_105
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_105])]) ).
fof(f7034,plain,
( e2 != op(e3,e4)
| spl140_105
| ~ spl140_256 ),
inference(forward_demodulation,[],[f1705,f2413]) ).
fof(f1705,plain,
( e2 != op(e4,e3)
| spl140_105 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f7027,plain,
( spl140_302
| ~ spl140_257
| ~ spl140_330 ),
inference(avatar_split_clause,[],[f7026,f3035,f2417,f2724]) ).
fof(f2724,plain,
( spl140_302
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_302])]) ).
fof(f2417,plain,
( spl140_257
<=> e4 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_257])]) ).
fof(f3035,plain,
( spl140_330
<=> e3 = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_330])]) ).
fof(f7026,plain,
( e3 = op(e2,e4)
| ~ spl140_257
| ~ spl140_330 ),
inference(backward_demodulation,[],[f3036,f2419]) ).
fof(f2419,plain,
( e4 = op(e3,e2)
| ~ spl140_257 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f3036,plain,
( e3 = op(e2,op(e3,e2))
| ~ spl140_330 ),
inference(avatar_component_clause,[],[f3035]) ).
fof(f7020,plain,
( ~ spl140_108
| ~ spl140_43 ),
inference(avatar_split_clause,[],[f7019,f1439,f1717]) ).
fof(f1717,plain,
( spl140_108
<=> op(e2,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_108])]) ).
fof(f1439,plain,
( spl140_43
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_43])]) ).
fof(f7019,plain,
( op(e2,e3) != unit
| ~ spl140_43 ),
inference(forward_demodulation,[],[f769,f1440]) ).
fof(f1440,plain,
( op(e2,e2) = unit
| ~ spl140_43 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f769,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f7018,plain,
( ~ spl140_91
| ~ spl140_43 ),
inference(avatar_split_clause,[],[f7017,f1439,f1640]) ).
fof(f1640,plain,
( spl140_91
<=> op(e1,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_91])]) ).
fof(f7017,plain,
( op(e1,e2) != unit
| ~ spl140_43 ),
inference(forward_demodulation,[],[f755,f1440]) ).
fof(f755,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f7015,plain,
( ~ spl140_296
| ~ spl140_277 ),
inference(avatar_split_clause,[],[f7014,f2531,f2681]) ).
fof(f2681,plain,
( spl140_296
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_296])]) ).
fof(f7014,plain,
( e1 != op(e3,e2)
| ~ spl140_277 ),
inference(forward_demodulation,[],[f810,f2532]) ).
fof(f810,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f7002,plain,
( ~ spl140_280
| ~ spl140_293 ),
inference(avatar_split_clause,[],[f6998,f2660,f2552]) ).
fof(f2552,plain,
( spl140_280
<=> op(e3,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_280])]) ).
fof(f6998,plain,
( op(e3,e4) != unit
| ~ spl140_293 ),
inference(backward_demodulation,[],[f799,f2662]) ).
fof(f799,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f7001,plain,
( ~ spl140_123
| ~ spl140_293 ),
inference(avatar_split_clause,[],[f6999,f2660,f1786]) ).
fof(f1786,plain,
( spl140_123
<=> op(e2,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_123])]) ).
fof(f6999,plain,
( op(e2,e4) != unit
| ~ spl140_293 ),
inference(backward_demodulation,[],[f844,f2662]) ).
fof(f844,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6996,plain,
( spl140_60
| ~ spl140_106
| ~ spl140_291
| ~ spl140_306 ),
inference(avatar_contradiction_clause,[],[f6995]) ).
fof(f6995,plain,
( $false
| spl140_60
| ~ spl140_106
| ~ spl140_291
| ~ spl140_306 ),
inference(subsumption_resolution,[],[f6994,f1513]) ).
fof(f6994,plain,
( e4 = unit
| ~ spl140_106
| ~ spl140_291
| ~ spl140_306 ),
inference(forward_demodulation,[],[f6993,f1711]) ).
fof(f1711,plain,
( op(e1,e3) = unit
| ~ spl140_106 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1709,plain,
( spl140_106
<=> op(e1,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_106])]) ).
fof(f6993,plain,
( e4 = op(e1,e3)
| ~ spl140_291
| ~ spl140_306 ),
inference(forward_demodulation,[],[f2651,f2754]) ).
fof(f2754,plain,
( e3 = op(e1,e4)
| ~ spl140_306 ),
inference(avatar_component_clause,[],[f2752]) ).
fof(f2752,plain,
( spl140_306
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_306])]) ).
fof(f2651,plain,
( e4 = op(e1,op(e1,e4))
| ~ spl140_291 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f2649,plain,
( spl140_291
<=> e4 = op(e1,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_291])]) ).
fof(f6986,plain,
( spl140_50
| ~ spl140_124
| ~ spl140_280
| ~ spl140_321 ),
inference(avatar_contradiction_clause,[],[f6985]) ).
fof(f6985,plain,
( $false
| spl140_50
| ~ spl140_124
| ~ spl140_280
| ~ spl140_321 ),
inference(subsumption_resolution,[],[f6984,f1470]) ).
fof(f6984,plain,
( e1 = unit
| ~ spl140_124
| ~ spl140_280
| ~ spl140_321 ),
inference(forward_demodulation,[],[f6983,f2554]) ).
fof(f2554,plain,
( op(e3,e4) = unit
| ~ spl140_280 ),
inference(avatar_component_clause,[],[f2552]) ).
fof(f6983,plain,
( e1 = op(e3,e4)
| ~ spl140_124
| ~ spl140_321 ),
inference(forward_demodulation,[],[f2902,f1793]) ).
fof(f1793,plain,
( e4 = op(e3,e1)
| ~ spl140_124 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f1791,plain,
( spl140_124
<=> e4 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_124])]) ).
fof(f2902,plain,
( e1 = op(e3,op(e3,e1))
| ~ spl140_321 ),
inference(avatar_component_clause,[],[f2900]) ).
fof(f2900,plain,
( spl140_321
<=> e1 = op(e3,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_321])]) ).
fof(f6961,plain,
( spl140_15
| ~ spl140_116
| ~ spl140_301
| ~ spl140_307 ),
inference(avatar_contradiction_clause,[],[f6960]) ).
fof(f6960,plain,
( $false
| spl140_15
| ~ spl140_116
| ~ spl140_301
| ~ spl140_307 ),
inference(subsumption_resolution,[],[f6959,f1324]) ).
fof(f6959,plain,
( e3 = unit
| ~ spl140_116
| ~ spl140_301
| ~ spl140_307 ),
inference(forward_demodulation,[],[f6958,f1754]) ).
fof(f1754,plain,
( op(e4,e1) = unit
| ~ spl140_116 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f6958,plain,
( e3 = op(e4,e1)
| ~ spl140_301
| ~ spl140_307 ),
inference(backward_demodulation,[],[f2714,f2796]) ).
fof(f2796,plain,
( e1 = op(e4,e3)
| ~ spl140_307 ),
inference(avatar_component_clause,[],[f2795]) ).
fof(f2714,plain,
( e3 = op(e4,op(e4,e3))
| ~ spl140_301 ),
inference(avatar_component_clause,[],[f2712]) ).
fof(f2712,plain,
( spl140_301
<=> e3 = op(e4,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_301])]) ).
fof(f6902,plain,
( ~ spl140_296
| ~ spl140_233
| spl140_305 ),
inference(avatar_split_clause,[],[f6773,f2743,f2276,f2681]) ).
fof(f2276,plain,
( spl140_233
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_233])]) ).
fof(f2743,plain,
( spl140_305
<=> e1 = op(op(e2,e1),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_305])]) ).
fof(f6773,plain,
( e1 != op(e3,e2)
| ~ spl140_233
| spl140_305 ),
inference(forward_demodulation,[],[f2744,f2277]) ).
fof(f2277,plain,
( e3 = op(e2,e1)
| ~ spl140_233 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f2744,plain,
( e1 != op(op(e2,e1),e2)
| spl140_305 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f6862,plain,
( ~ spl140_106
| ~ spl140_202
| spl140_239
| ~ spl140_267 ),
inference(avatar_contradiction_clause,[],[f6861]) ).
fof(f6861,plain,
( $false
| ~ spl140_106
| ~ spl140_202
| spl140_239
| ~ spl140_267 ),
inference(subsumption_resolution,[],[f6860,f2314]) ).
fof(f2314,plain,
( e1 != e3
| spl140_239 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f2313,plain,
( spl140_239
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_239])]) ).
fof(f6860,plain,
( e1 = e3
| ~ spl140_106
| ~ spl140_202
| ~ spl140_267 ),
inference(forward_demodulation,[],[f6859,f2129]) ).
fof(f2129,plain,
( e1 = op(unit,e1)
| ~ spl140_202 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f2128,plain,
( spl140_202
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_202])]) ).
fof(f6859,plain,
( e3 = op(unit,e1)
| ~ spl140_106
| ~ spl140_267 ),
inference(forward_demodulation,[],[f2474,f1711]) ).
fof(f2474,plain,
( e3 = op(op(e1,e3),e1)
| ~ spl140_267 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f6853,plain,
( ~ spl140_211
| ~ spl140_205
| spl140_241 ),
inference(avatar_split_clause,[],[f6852,f2325,f2141,f2173]) ).
fof(f2325,plain,
( spl140_241
<=> e2 = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_241])]) ).
fof(f6852,plain,
( e2 != op(e3,e4)
| ~ spl140_205
| spl140_241 ),
inference(forward_demodulation,[],[f2327,f2143]) ).
fof(f2143,plain,
( e4 = op(e2,e3)
| ~ spl140_205 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f2327,plain,
( e2 != op(e3,op(e2,e3))
| spl140_241 ),
inference(avatar_component_clause,[],[f2325]) ).
fof(f6850,plain,
( ~ spl140_156
| ~ spl140_200 ),
inference(avatar_split_clause,[],[f6848,f2116,f1932]) ).
fof(f2116,plain,
( spl140_200
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_200])]) ).
fof(f6848,plain,
( e2 != op(e4,e1)
| ~ spl140_200 ),
inference(backward_demodulation,[],[f765,f2117]) ).
fof(f2117,plain,
( e2 = op(e4,e4)
| ~ spl140_200 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f765,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6849,plain,
( ~ spl140_105
| ~ spl140_200 ),
inference(avatar_split_clause,[],[f6847,f2116,f1704]) ).
fof(f6847,plain,
( e2 != op(e4,e3)
| ~ spl140_200 ),
inference(backward_demodulation,[],[f760,f2117]) ).
fof(f760,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6841,plain,
( ~ spl140_156
| ~ spl140_237 ),
inference(avatar_split_clause,[],[f6840,f2302,f1932]) ).
fof(f2302,plain,
( spl140_237
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_237])]) ).
fof(f6840,plain,
( e2 != op(e4,e1)
| ~ spl140_237 ),
inference(forward_demodulation,[],[f806,f2303]) ).
fof(f2303,plain,
( e2 = op(e1,e1)
| ~ spl140_237 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f806,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f6839,plain,
( ~ spl140_257
| ~ spl140_124 ),
inference(avatar_split_clause,[],[f6838,f1791,f2417]) ).
fof(f6838,plain,
( e4 != op(e3,e2)
| ~ spl140_124 ),
inference(forward_demodulation,[],[f830,f1793]) ).
fof(f830,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f6830,plain,
( spl140_159
| ~ spl140_89
| ~ spl140_333 ),
inference(avatar_split_clause,[],[f6829,f3070,f1632,f1946]) ).
fof(f1946,plain,
( spl140_159
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_159])]) ).
fof(f1632,plain,
( spl140_89
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_89])]) ).
fof(f3070,plain,
( spl140_333
<=> e1 = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_333])]) ).
fof(f6829,plain,
( e1 = op(e2,e4)
| ~ spl140_89
| ~ spl140_333 ),
inference(forward_demodulation,[],[f3071,f1634]) ).
fof(f1634,plain,
( e4 = op(e1,e2)
| ~ spl140_89 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f3071,plain,
( e1 = op(e2,op(e1,e2))
| ~ spl140_333 ),
inference(avatar_component_clause,[],[f3070]) ).
fof(f6827,plain,
( ~ spl140_272
| ~ spl140_278 ),
inference(avatar_split_clause,[],[f6563,f2538,f2496]) ).
fof(f2538,plain,
( spl140_278
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_278])]) ).
fof(f6563,plain,
( e3 != op(e4,e1)
| ~ spl140_278 ),
inference(forward_demodulation,[],[f825,f2540]) ).
fof(f2540,plain,
( e3 = op(e4,e2)
| ~ spl140_278 ),
inference(avatar_component_clause,[],[f2538]) ).
fof(f825,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f6805,plain,
( spl140_60
| ~ spl140_87
| ~ spl140_146
| ~ spl140_211 ),
inference(avatar_contradiction_clause,[],[f6804]) ).
fof(f6804,plain,
( $false
| spl140_60
| ~ spl140_87
| ~ spl140_146
| ~ spl140_211 ),
inference(subsumption_resolution,[],[f6803,f1513]) ).
fof(f6803,plain,
( e4 = unit
| ~ spl140_87
| ~ spl140_146
| ~ spl140_211 ),
inference(forward_demodulation,[],[f6802,f1625]) ).
fof(f1625,plain,
( op(e3,e2) = unit
| ~ spl140_87 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1623,plain,
( spl140_87
<=> op(e3,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_87])]) ).
fof(f6802,plain,
( e4 = op(e3,e2)
| ~ spl140_146
| ~ spl140_211 ),
inference(forward_demodulation,[],[f1886,f2174]) ).
fof(f2174,plain,
( e2 = op(e3,e4)
| ~ spl140_211 ),
inference(avatar_component_clause,[],[f2173]) ).
fof(f6797,plain,
( spl140_50
| ~ spl140_84
| ~ spl140_87
| ~ spl140_335 ),
inference(avatar_contradiction_clause,[],[f6796]) ).
fof(f6796,plain,
( $false
| spl140_50
| ~ spl140_84
| ~ spl140_87
| ~ spl140_335 ),
inference(subsumption_resolution,[],[f6795,f1470]) ).
fof(f6795,plain,
( e1 = unit
| ~ spl140_84
| ~ spl140_87
| ~ spl140_335 ),
inference(forward_demodulation,[],[f6326,f1625]) ).
fof(f6326,plain,
( e1 = op(e3,e2)
| ~ spl140_84
| ~ spl140_335 ),
inference(forward_demodulation,[],[f3089,f1610]) ).
fof(f1610,plain,
( e2 = op(e1,e3)
| ~ spl140_84 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f1609,plain,
( spl140_84
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_84])]) ).
fof(f6719,plain,
( ~ spl140_104
| ~ spl140_124 ),
inference(avatar_split_clause,[],[f6716,f1791,f1699]) ).
fof(f1699,plain,
( spl140_104
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_104])]) ).
fof(f6716,plain,
( e4 != op(e1,e1)
| ~ spl140_124 ),
inference(backward_demodulation,[],[f790,f1793]) ).
fof(f790,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f6710,plain,
( ~ spl140_104
| ~ spl140_89 ),
inference(avatar_split_clause,[],[f6703,f1632,f1699]) ).
fof(f6703,plain,
( e4 != op(e1,e1)
| ~ spl140_89 ),
inference(backward_demodulation,[],[f819,f1634]) ).
fof(f819,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f6699,plain,
( ~ spl140_209
| ~ spl140_156 ),
inference(avatar_split_clause,[],[f6590,f1932,f2163]) ).
fof(f2163,plain,
( spl140_209
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_209])]) ).
fof(f6590,plain,
( e2 != op(e3,e1)
| ~ spl140_156 ),
inference(forward_demodulation,[],[f826,f1934]) ).
fof(f1934,plain,
( e2 = op(e4,e1)
| ~ spl140_156 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f6697,plain,
( ~ spl140_177
| ~ spl140_87 ),
inference(avatar_split_clause,[],[f6696,f1623,f2018]) ).
fof(f6696,plain,
( op(e3,e1) != unit
| ~ spl140_87 ),
inference(forward_demodulation,[],[f830,f1625]) ).
fof(f6678,plain,
( ~ spl140_88
| ~ spl140_84
| spl140_336 ),
inference(avatar_split_clause,[],[f6677,f3092,f1609,f1628]) ).
fof(f1628,plain,
( spl140_88
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_88])]) ).
fof(f6677,plain,
( e3 != op(e1,e2)
| ~ spl140_84
| spl140_336 ),
inference(forward_demodulation,[],[f3093,f1610]) ).
fof(f3093,plain,
( e3 != op(e1,op(e1,e3))
| spl140_336 ),
inference(avatar_component_clause,[],[f3092]) ).
fof(f6675,plain,
( spl140_89
| ~ spl140_156
| ~ spl140_337 ),
inference(avatar_split_clause,[],[f6674,f3113,f1932,f1632]) ).
fof(f6674,plain,
( e4 = op(e1,e2)
| ~ spl140_156
| ~ spl140_337 ),
inference(forward_demodulation,[],[f3114,f1934]) ).
fof(f3114,plain,
( e4 = op(e1,op(e4,e1))
| ~ spl140_337 ),
inference(avatar_component_clause,[],[f3113]) ).
fof(f6659,plain,
( spl140_105
| ~ spl140_278
| ~ spl140_327 ),
inference(avatar_split_clause,[],[f6658,f3007,f2538,f1704]) ).
fof(f6658,plain,
( e2 = op(e4,e3)
| ~ spl140_278
| ~ spl140_327 ),
inference(forward_demodulation,[],[f3009,f2540]) ).
fof(f3009,plain,
( e2 = op(e4,op(e4,e2))
| ~ spl140_327 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f6651,plain,
( ~ spl140_117
| ~ spl140_233 ),
inference(avatar_split_clause,[],[f6650,f2276,f1758]) ).
fof(f1758,plain,
( spl140_117
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_117])]) ).
fof(f6650,plain,
( e3 != op(e2,e2)
| ~ spl140_233 ),
inference(forward_demodulation,[],[f754,f2277]) ).
fof(f754,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f6639,plain,
( ~ spl140_302
| ~ spl140_306 ),
inference(avatar_split_clause,[],[f6638,f2752,f2724]) ).
fof(f6638,plain,
( e3 != op(e2,e4)
| ~ spl140_306 ),
inference(forward_demodulation,[],[f844,f2754]) ).
fof(f6637,plain,
( spl140_15
| ~ spl140_84
| ~ spl140_91
| ~ spl140_336 ),
inference(avatar_contradiction_clause,[],[f6636]) ).
fof(f6636,plain,
( $false
| spl140_15
| ~ spl140_84
| ~ spl140_91
| ~ spl140_336 ),
inference(subsumption_resolution,[],[f6635,f1324]) ).
fof(f6635,plain,
( e3 = unit
| ~ spl140_84
| ~ spl140_91
| ~ spl140_336 ),
inference(forward_demodulation,[],[f6634,f1642]) ).
fof(f1642,plain,
( op(e1,e2) = unit
| ~ spl140_91 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f6634,plain,
( e3 = op(e1,e2)
| ~ spl140_84
| ~ spl140_336 ),
inference(forward_demodulation,[],[f3094,f1610]) ).
fof(f6621,plain,
( spl140_50
| ~ spl140_108
| ~ spl140_233
| ~ spl140_317 ),
inference(avatar_contradiction_clause,[],[f6620]) ).
fof(f6620,plain,
( $false
| spl140_50
| ~ spl140_108
| ~ spl140_233
| ~ spl140_317 ),
inference(subsumption_resolution,[],[f6619,f1470]) ).
fof(f6619,plain,
( e1 = unit
| ~ spl140_108
| ~ spl140_233
| ~ spl140_317 ),
inference(forward_demodulation,[],[f6618,f1719]) ).
fof(f1719,plain,
( op(e2,e3) = unit
| ~ spl140_108 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f6618,plain,
( e1 = op(e2,e3)
| ~ spl140_233
| ~ spl140_317 ),
inference(forward_demodulation,[],[f2880,f2277]) ).
fof(f2880,plain,
( e1 = op(e2,op(e2,e1))
| ~ spl140_317 ),
inference(avatar_component_clause,[],[f2878]) ).
fof(f2878,plain,
( spl140_317
<=> e1 = op(e2,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_317])]) ).
fof(f6542,plain,
( ~ spl140_107
| ~ spl140_108 ),
inference(avatar_split_clause,[],[f6541,f1717,f1713]) ).
fof(f1713,plain,
( spl140_107
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_107])]) ).
fof(f6541,plain,
( op(e3,e3) != unit
| ~ spl140_108 ),
inference(forward_demodulation,[],[f849,f1719]) ).
fof(f849,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f6537,plain,
( ~ spl140_21
| ~ spl140_307 ),
inference(avatar_split_clause,[],[f6536,f2795,f1349]) ).
fof(f1349,plain,
( spl140_21
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_21])]) ).
fof(f6536,plain,
( e1 != op(e3,e3)
| ~ spl140_307 ),
inference(forward_demodulation,[],[f789,f2796]) ).
fof(f789,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f6529,plain,
( ~ spl140_293
| ~ spl140_91 ),
inference(avatar_split_clause,[],[f6528,f1640,f2660]) ).
fof(f6528,plain,
( op(e1,e4) != unit
| ~ spl140_91 ),
inference(forward_demodulation,[],[f770,f1642]) ).
fof(f770,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6525,plain,
( spl140_47
| ~ spl140_48
| ~ spl140_297 ),
inference(avatar_split_clause,[],[f6524,f2690,f1460,f1456]) ).
fof(f1456,plain,
( spl140_47
<=> op(e4,e4) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_47])]) ).
fof(f1460,plain,
( spl140_48
<=> e4 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_48])]) ).
fof(f2690,plain,
( spl140_297
<=> unit = op(e4,op(e4,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_297])]) ).
fof(f6524,plain,
( op(e4,e4) = unit
| ~ spl140_48
| ~ spl140_297 ),
inference(forward_demodulation,[],[f2692,f1462]) ).
fof(f1462,plain,
( e4 = op(e4,unit)
| ~ spl140_48 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f2692,plain,
( unit = op(e4,op(e4,unit))
| ~ spl140_297 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f6505,plain,
( ~ spl140_117
| ~ spl140_278 ),
inference(avatar_split_clause,[],[f6500,f2538,f1758]) ).
fof(f6500,plain,
( e3 != op(e2,e2)
| ~ spl140_278 ),
inference(backward_demodulation,[],[f791,f2540]) ).
fof(f791,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f6497,plain,
( ~ spl140_187
| ~ spl140_91 ),
inference(avatar_split_clause,[],[f6493,f1640,f2060]) ).
fof(f2060,plain,
( spl140_187
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_187])]) ).
fof(f6493,plain,
( op(e1,e1) != unit
| ~ spl140_91 ),
inference(backward_demodulation,[],[f819,f1642]) ).
fof(f6481,plain,
( ~ spl140_208
| ~ spl140_307 ),
inference(avatar_split_clause,[],[f6480,f2795,f2158]) ).
fof(f2158,plain,
( spl140_208
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_208])]) ).
fof(f6480,plain,
( e1 != op(e4,e4)
| ~ spl140_307 ),
inference(forward_demodulation,[],[f760,f2796]) ).
fof(f6472,plain,
( spl140_209
| ~ spl140_296
| ~ spl140_329 ),
inference(avatar_split_clause,[],[f6471,f3031,f2681,f2163]) ).
fof(f3031,plain,
( spl140_329
<=> e2 = op(e3,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_329])]) ).
fof(f6471,plain,
( e2 = op(e3,e1)
| ~ spl140_296
| ~ spl140_329 ),
inference(forward_demodulation,[],[f3033,f2683]) ).
fof(f2683,plain,
( e1 = op(e3,e2)
| ~ spl140_296 ),
inference(avatar_component_clause,[],[f2681]) ).
fof(f3033,plain,
( e2 = op(e3,op(e3,e2))
| ~ spl140_329 ),
inference(avatar_component_clause,[],[f3031]) ).
fof(f6464,plain,
( spl140_233
| ~ spl140_296
| ~ spl140_330 ),
inference(avatar_split_clause,[],[f6463,f3035,f2681,f2276]) ).
fof(f6463,plain,
( e3 = op(e2,e1)
| ~ spl140_296
| ~ spl140_330 ),
inference(forward_demodulation,[],[f3036,f2683]) ).
fof(f6462,plain,
( ~ spl140_118
| ~ spl140_159 ),
inference(avatar_split_clause,[],[f6461,f1946,f1762]) ).
fof(f1762,plain,
( spl140_118
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_118])]) ).
fof(f6461,plain,
( e1 != op(e2,e2)
| ~ spl140_159 ),
inference(forward_demodulation,[],[f814,f1948]) ).
fof(f1948,plain,
( e1 = op(e2,e4)
| ~ spl140_159 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f814,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6457,plain,
( ~ spl140_209
| ~ spl140_211 ),
inference(avatar_split_clause,[],[f6456,f2173,f2163]) ).
fof(f6456,plain,
( e2 != op(e3,e1)
| ~ spl140_211 ),
inference(forward_demodulation,[],[f766,f2174]) ).
fof(f766,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6454,plain,
( ~ spl140_124
| spl140_300
| ~ spl140_307 ),
inference(avatar_split_clause,[],[f6453,f2795,f2708,f1791]) ).
fof(f2708,plain,
( spl140_300
<=> e4 = op(e3,op(e4,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_300])]) ).
fof(f6453,plain,
( e4 != op(e3,e1)
| spl140_300
| ~ spl140_307 ),
inference(forward_demodulation,[],[f2710,f2796]) ).
fof(f2710,plain,
( e4 != op(e3,op(e4,e3))
| spl140_300 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f6449,plain,
( ~ spl140_118
| ~ spl140_296 ),
inference(avatar_split_clause,[],[f6448,f2681,f1762]) ).
fof(f6448,plain,
( e1 != op(e2,e2)
| ~ spl140_296 ),
inference(forward_demodulation,[],[f837,f2683]) ).
fof(f837,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f6437,plain,
( spl140_60
| ~ spl140_159
| ~ spl140_231
| ~ spl140_282 ),
inference(avatar_contradiction_clause,[],[f6436]) ).
fof(f6436,plain,
( $false
| spl140_60
| ~ spl140_159
| ~ spl140_231
| ~ spl140_282 ),
inference(subsumption_resolution,[],[f6435,f1513]) ).
fof(f6435,plain,
( e4 = unit
| ~ spl140_159
| ~ spl140_231
| ~ spl140_282 ),
inference(forward_demodulation,[],[f6434,f2268]) ).
fof(f2268,plain,
( op(e2,e1) = unit
| ~ spl140_231 ),
inference(avatar_component_clause,[],[f2266]) ).
fof(f2266,plain,
( spl140_231
<=> op(e2,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_231])]) ).
fof(f6434,plain,
( e4 = op(e2,e1)
| ~ spl140_159
| ~ spl140_282 ),
inference(forward_demodulation,[],[f2565,f1948]) ).
fof(f2565,plain,
( e4 = op(e2,op(e2,e4))
| ~ spl140_282 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2563,plain,
( spl140_282
<=> e4 = op(e2,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_282])]) ).
fof(f6393,plain,
( spl140_50
| ~ spl140_156
| ~ spl140_325
| ~ spl140_338 ),
inference(avatar_contradiction_clause,[],[f6392]) ).
fof(f6392,plain,
( $false
| spl140_50
| ~ spl140_156
| ~ spl140_325
| ~ spl140_338 ),
inference(subsumption_resolution,[],[f6391,f1470]) ).
fof(f6391,plain,
( e1 = unit
| ~ spl140_156
| ~ spl140_325
| ~ spl140_338 ),
inference(forward_demodulation,[],[f6390,f2948]) ).
fof(f2948,plain,
( op(e4,e2) = unit
| ~ spl140_325 ),
inference(avatar_component_clause,[],[f2946]) ).
fof(f2946,plain,
( spl140_325
<=> op(e4,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl140_325])]) ).
fof(f6390,plain,
( e1 = op(e4,e2)
| ~ spl140_156
| ~ spl140_338 ),
inference(forward_demodulation,[],[f3119,f1934]) ).
fof(f6382,plain,
( ~ spl140_97
| ~ spl140_325 ),
inference(avatar_split_clause,[],[f6381,f2946,f1667]) ).
fof(f6381,plain,
( op(e4,e3) != unit
| ~ spl140_325 ),
inference(forward_demodulation,[],[f757,f2948]) ).
fof(f6346,plain,
( spl140_159
| ~ spl140_156
| ~ spl140_290 ),
inference(avatar_split_clause,[],[f6343,f2635,f1932,f1946]) ).
fof(f2635,plain,
( spl140_290
<=> e1 = op(op(e4,e1),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_290])]) ).
fof(f6343,plain,
( e1 = op(e2,e4)
| ~ spl140_156
| ~ spl140_290 ),
inference(backward_demodulation,[],[f2637,f1934]) ).
fof(f2637,plain,
( e1 = op(op(e4,e1),e4)
| ~ spl140_290 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f6339,plain,
( spl140_60
| ~ spl140_89
| ~ spl140_110
| ~ spl140_231 ),
inference(avatar_contradiction_clause,[],[f6338]) ).
fof(f6338,plain,
( $false
| spl140_60
| ~ spl140_89
| ~ spl140_110
| ~ spl140_231 ),
inference(subsumption_resolution,[],[f6337,f1513]) ).
fof(f6337,plain,
( e4 = unit
| ~ spl140_89
| ~ spl140_110
| ~ spl140_231 ),
inference(forward_demodulation,[],[f6336,f1634]) ).
fof(f6336,plain,
( op(e1,e2) = unit
| ~ spl140_110
| ~ spl140_231 ),
inference(forward_demodulation,[],[f1728,f2268]) ).
fof(f1728,plain,
( op(e1,e2) = op(e2,e1)
| ~ spl140_110 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1726,plain,
( spl140_110
<=> op(e1,e2) = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_110])]) ).
fof(f6330,plain,
( ~ spl140_105
| ~ spl140_84 ),
inference(avatar_split_clause,[],[f6329,f1609,f1704]) ).
fof(f6329,plain,
( e2 != op(e4,e3)
| ~ spl140_84 ),
inference(forward_demodulation,[],[f795,f1610]) ).
fof(f795,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f6303,plain,
( ~ spl140_211
| ~ spl140_200 ),
inference(avatar_split_clause,[],[f6076,f2116,f2173]) ).
fof(f6076,plain,
( e2 != op(e3,e4)
| ~ spl140_200 ),
inference(forward_demodulation,[],[f758,f2117]) ).
fof(f758,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6296,plain,
( spl140_302
| ~ spl140_205
| ~ spl140_240 ),
inference(avatar_split_clause,[],[f6292,f2321,f2141,f2724]) ).
fof(f2321,plain,
( spl140_240
<=> e3 = op(e2,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_240])]) ).
fof(f6292,plain,
( e3 = op(e2,e4)
| ~ spl140_205
| ~ spl140_240 ),
inference(backward_demodulation,[],[f2323,f2143]) ).
fof(f2323,plain,
( e3 = op(e2,op(e2,e3))
| ~ spl140_240 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f6270,plain,
( ~ spl140_116
| ~ spl140_231 ),
inference(avatar_split_clause,[],[f6269,f2266,f1753]) ).
fof(f6269,plain,
( op(e4,e1) != unit
| ~ spl140_231 ),
inference(forward_demodulation,[],[f829,f2268]) ).
fof(f829,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f6261,plain,
( spl140_116
| ~ spl140_289
| ~ spl140_293 ),
inference(avatar_split_clause,[],[f6256,f2660,f2631,f1753]) ).
fof(f2631,plain,
( spl140_289
<=> op(e1,e4) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_289])]) ).
fof(f6256,plain,
( op(e4,e1) = unit
| ~ spl140_289
| ~ spl140_293 ),
inference(backward_demodulation,[],[f2633,f2662]) ).
fof(f2633,plain,
( op(e1,e4) = op(e4,e1)
| ~ spl140_289 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f6227,plain,
( ~ spl140_142
| ~ spl140_200 ),
inference(avatar_contradiction_clause,[],[f6226]) ).
fof(f6226,plain,
( $false
| ~ spl140_142
| ~ spl140_200 ),
inference(subsumption_resolution,[],[f6225,f854]) ).
fof(f854,plain,
e2 != e3,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e2 != e4
& e3 != e4
& e0 != e4
& e1 != e4
& e1 != e3
& e0 != e2
& e1 != e2
& e0 != e3
& e2 != e3
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f6225,plain,
( e2 = e3
| ~ spl140_142
| ~ spl140_200 ),
inference(forward_demodulation,[],[f1867,f2117]) ).
fof(f1867,plain,
( e3 = op(e4,e4)
| ~ spl140_142 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1866,plain,
( spl140_142
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_142])]) ).
fof(f6188,plain,
( ~ spl140_237
| ~ spl140_84 ),
inference(avatar_split_clause,[],[f6127,f1609,f2302]) ).
fof(f6127,plain,
( e2 != op(e1,e1)
| ~ spl140_84 ),
inference(forward_demodulation,[],[f834,f1610]) ).
fof(f834,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f6185,plain,
( ~ spl140_84
| ~ spl140_89
| ~ spl140_336 ),
inference(avatar_contradiction_clause,[],[f6184]) ).
fof(f6184,plain,
( $false
| ~ spl140_84
| ~ spl140_89
| ~ spl140_336 ),
inference(subsumption_resolution,[],[f6183,f861]) ).
fof(f861,plain,
e3 != e4,
inference(cnf_transformation,[],[f6]) ).
fof(f6183,plain,
( e3 = e4
| ~ spl140_84
| ~ spl140_89
| ~ spl140_336 ),
inference(forward_demodulation,[],[f6182,f1634]) ).
fof(f6182,plain,
( e3 = op(e1,e2)
| ~ spl140_84
| ~ spl140_336 ),
inference(forward_demodulation,[],[f3094,f1610]) ).
fof(f6180,plain,
( ~ spl140_97
| ~ spl140_107 ),
inference(avatar_split_clause,[],[f6179,f1713,f1667]) ).
fof(f6179,plain,
( op(e4,e3) != unit
| ~ spl140_107 ),
inference(forward_demodulation,[],[f789,f1715]) ).
fof(f1715,plain,
( op(e3,e3) = unit
| ~ spl140_107 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f6176,plain,
( ~ spl140_274
| ~ spl140_89
| spl140_334 ),
inference(avatar_split_clause,[],[f6175,f3074,f1632,f2505]) ).
fof(f2505,plain,
( spl140_274
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_274])]) ).
fof(f3074,plain,
( spl140_334
<=> e2 = op(e1,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_334])]) ).
fof(f6175,plain,
( e2 != op(e1,e4)
| ~ spl140_89
| spl140_334 ),
inference(forward_demodulation,[],[f3075,f1634]) ).
fof(f3075,plain,
( e2 != op(e1,op(e1,e2))
| spl140_334 ),
inference(avatar_component_clause,[],[f3074]) ).
fof(f6157,plain,
( ~ spl140_89
| ~ spl140_111
| ~ spl140_272 ),
inference(avatar_contradiction_clause,[],[f6156]) ).
fof(f6156,plain,
( $false
| ~ spl140_89
| ~ spl140_111
| ~ spl140_272 ),
inference(subsumption_resolution,[],[f6155,f854]) ).
fof(f6155,plain,
( e2 = e3
| ~ spl140_89
| ~ spl140_111
| ~ spl140_272 ),
inference(forward_demodulation,[],[f6154,f2498]) ).
fof(f6154,plain,
( e2 = op(e4,e1)
| ~ spl140_89
| ~ spl140_111 ),
inference(forward_demodulation,[],[f1732,f1634]) ).
fof(f1732,plain,
( e2 = op(op(e1,e2),e1)
| ~ spl140_111 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f1730,plain,
( spl140_111
<=> e2 = op(op(e1,e2),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_111])]) ).
fof(f6116,plain,
( spl140_281
| ~ spl140_277
| ~ spl140_328 ),
inference(avatar_split_clause,[],[f6115,f3011,f2531,f2558]) ).
fof(f3011,plain,
( spl140_328
<=> e4 = op(e2,op(e4,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_328])]) ).
fof(f6115,plain,
( e4 = op(e2,e1)
| ~ spl140_277
| ~ spl140_328 ),
inference(forward_demodulation,[],[f3012,f2532]) ).
fof(f3012,plain,
( e4 = op(e2,op(e4,e2))
| ~ spl140_328 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f6113,plain,
( ~ spl140_274
| ~ spl140_84 ),
inference(avatar_split_clause,[],[f6104,f1609,f2505]) ).
fof(f6104,plain,
( e2 != op(e1,e4)
| ~ spl140_84 ),
inference(backward_demodulation,[],[f818,f1610]) ).
fof(f818,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6112,plain,
( ~ spl140_84
| spl140_233
| ~ spl140_267 ),
inference(avatar_contradiction_clause,[],[f6111]) ).
fof(f6111,plain,
( $false
| ~ spl140_84
| spl140_233
| ~ spl140_267 ),
inference(subsumption_resolution,[],[f6109,f2278]) ).
fof(f2278,plain,
( e3 != op(e2,e1)
| spl140_233 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f6109,plain,
( e3 = op(e2,e1)
| ~ spl140_84
| ~ spl140_267 ),
inference(backward_demodulation,[],[f2474,f1610]) ).
fof(f6097,plain,
( ~ spl140_231
| ~ spl140_187 ),
inference(avatar_split_clause,[],[f6096,f2060,f2266]) ).
fof(f6096,plain,
( op(e2,e1) != unit
| ~ spl140_187 ),
inference(backward_demodulation,[],[f807,f2062]) ).
fof(f2062,plain,
( op(e1,e1) = unit
| ~ spl140_187 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f807,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f6089,plain,
( ~ spl140_231
| ~ spl140_123 ),
inference(avatar_split_clause,[],[f6082,f1786,f2266]) ).
fof(f6082,plain,
( op(e2,e1) != unit
| ~ spl140_123 ),
inference(backward_demodulation,[],[f781,f1788]) ).
fof(f1788,plain,
( op(e2,e4) = unit
| ~ spl140_123 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f781,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6062,plain,
( ~ spl140_281
| ~ spl140_89
| spl140_110 ),
inference(avatar_split_clause,[],[f6061,f1726,f1632,f2558]) ).
fof(f6061,plain,
( e4 != op(e2,e1)
| ~ spl140_89
| spl140_110 ),
inference(forward_demodulation,[],[f1727,f1634]) ).
fof(f1727,plain,
( op(e1,e2) != op(e2,e1)
| spl140_110 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f6060,plain,
( ~ spl140_106
| ~ spl140_97 ),
inference(avatar_split_clause,[],[f6059,f1667,f1709]) ).
fof(f6059,plain,
( op(e1,e3) != unit
| ~ spl140_97 ),
inference(forward_demodulation,[],[f795,f1669]) ).
fof(f6048,plain,
( ~ spl140_272
| ~ spl140_277
| ~ spl140_327 ),
inference(avatar_contradiction_clause,[],[f6047]) ).
fof(f6047,plain,
( $false
| ~ spl140_272
| ~ spl140_277
| ~ spl140_327 ),
inference(subsumption_resolution,[],[f6046,f854]) ).
fof(f6046,plain,
( e2 = e3
| ~ spl140_272
| ~ spl140_277
| ~ spl140_327 ),
inference(forward_demodulation,[],[f6045,f2498]) ).
fof(f6045,plain,
( e2 = op(e4,e1)
| ~ spl140_277
| ~ spl140_327 ),
inference(forward_demodulation,[],[f3009,f2532]) ).
fof(f6038,plain,
( spl140_274
| ~ spl140_277
| ~ spl140_319 ),
inference(avatar_split_clause,[],[f5985,f2887,f2531,f2505]) ).
fof(f2887,plain,
( spl140_319
<=> e2 = op(op(e4,e2),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_319])]) ).
fof(f5985,plain,
( e2 = op(e1,e4)
| ~ spl140_277
| ~ spl140_319 ),
inference(forward_demodulation,[],[f2889,f2532]) ).
fof(f2889,plain,
( e2 = op(op(e4,e2),e4)
| ~ spl140_319 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f6033,plain,
( ~ spl140_274
| ~ spl140_200 ),
inference(avatar_split_clause,[],[f6028,f2116,f2505]) ).
fof(f6028,plain,
( e2 != op(e1,e4)
| ~ spl140_200 ),
inference(backward_demodulation,[],[f836,f2117]) ).
fof(f836,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6021,plain,
( ~ spl140_302
| ~ spl140_117 ),
inference(avatar_split_clause,[],[f6020,f1758,f2724]) ).
fof(f6020,plain,
( e3 != op(e2,e4)
| ~ spl140_117 ),
inference(forward_demodulation,[],[f814,f1760]) ).
fof(f1760,plain,
( e3 = op(e2,e2)
| ~ spl140_117 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f6008,plain,
( ~ spl140_159
| ~ spl140_204 ),
inference(avatar_split_clause,[],[f6007,f2137,f1946]) ).
fof(f6007,plain,
( e1 != op(e2,e4)
| ~ spl140_204 ),
inference(forward_demodulation,[],[f768,f2139]) ).
fof(f768,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f6004,plain,
( ~ spl140_154
| ~ spl140_14 ),
inference(avatar_split_clause,[],[f6003,f1318,f1922]) ).
fof(f1318,plain,
( spl140_14
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_14])]) ).
fof(f6003,plain,
( e4 != op(e1,e3)
| ~ spl140_14 ),
inference(forward_demodulation,[],[f796,f1320]) ).
fof(f1320,plain,
( e4 = op(e3,e3)
| ~ spl140_14 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f796,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f6000,plain,
( ~ spl140_159
| spl140_248
| ~ spl140_277 ),
inference(avatar_split_clause,[],[f5999,f2531,f2360,f1946]) ).
fof(f2360,plain,
( spl140_248
<=> op(e2,e4) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_248])]) ).
fof(f5999,plain,
( e1 != op(e2,e4)
| spl140_248
| ~ spl140_277 ),
inference(forward_demodulation,[],[f2361,f2532]) ).
fof(f2361,plain,
( op(e2,e4) != op(e4,e2)
| spl140_248 ),
inference(avatar_component_clause,[],[f2360]) ).
fof(f5998,plain,
( spl140_274
| ~ spl140_89
| ~ spl140_334 ),
inference(avatar_split_clause,[],[f5997,f3074,f1632,f2505]) ).
fof(f5997,plain,
( e2 = op(e1,e4)
| ~ spl140_89
| ~ spl140_334 ),
inference(backward_demodulation,[],[f3076,f1634]) ).
fof(f3076,plain,
( e2 = op(e1,op(e1,e2))
| ~ spl140_334 ),
inference(avatar_component_clause,[],[f3074]) ).
fof(f5993,plain,
( spl140_15
| ~ spl140_204
| ~ spl140_231
| ~ spl140_240 ),
inference(avatar_contradiction_clause,[],[f5992]) ).
fof(f5992,plain,
( $false
| spl140_15
| ~ spl140_204
| ~ spl140_231
| ~ spl140_240 ),
inference(subsumption_resolution,[],[f5991,f1324]) ).
fof(f5991,plain,
( e3 = unit
| ~ spl140_204
| ~ spl140_231
| ~ spl140_240 ),
inference(forward_demodulation,[],[f5990,f2268]) ).
fof(f5990,plain,
( e3 = op(e2,e1)
| ~ spl140_204
| ~ spl140_240 ),
inference(forward_demodulation,[],[f2323,f2139]) ).
fof(f5975,plain,
( spl140_50
| ~ spl140_87
| ~ spl140_209
| ~ spl140_321 ),
inference(avatar_contradiction_clause,[],[f5974]) ).
fof(f5974,plain,
( $false
| spl140_50
| ~ spl140_87
| ~ spl140_209
| ~ spl140_321 ),
inference(subsumption_resolution,[],[f5973,f1470]) ).
fof(f5973,plain,
( e1 = unit
| ~ spl140_87
| ~ spl140_209
| ~ spl140_321 ),
inference(forward_demodulation,[],[f5972,f1625]) ).
fof(f5972,plain,
( e1 = op(e3,e2)
| ~ spl140_209
| ~ spl140_321 ),
inference(forward_demodulation,[],[f2902,f2165]) ).
fof(f2165,plain,
( e2 = op(e3,e1)
| ~ spl140_209 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f5904,plain,
( ~ spl140_233
| ~ spl140_272 ),
inference(avatar_split_clause,[],[f5648,f2496,f2276]) ).
fof(f5648,plain,
( e3 != op(e2,e1)
| ~ spl140_272 ),
inference(forward_demodulation,[],[f829,f2498]) ).
fof(f5900,plain,
( ~ spl140_281
| ~ spl140_104 ),
inference(avatar_split_clause,[],[f5897,f1699,f2558]) ).
fof(f5897,plain,
( e4 != op(e2,e1)
| ~ spl140_104 ),
inference(backward_demodulation,[],[f807,f1700]) ).
fof(f1700,plain,
( e4 = op(e1,e1)
| ~ spl140_104 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f5884,plain,
( ~ spl140_107
| ~ spl140_87 ),
inference(avatar_split_clause,[],[f5883,f1623,f1713]) ).
fof(f5883,plain,
( op(e3,e3) != unit
| ~ spl140_87 ),
inference(forward_demodulation,[],[f832,f1625]) ).
fof(f832,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f5881,plain,
( ~ spl140_20
| ~ spl140_272 ),
inference(avatar_split_clause,[],[f5880,f2496,f1345]) ).
fof(f1345,plain,
( spl140_20
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_20])]) ).
fof(f5880,plain,
( e3 != op(e1,e1)
| ~ spl140_272 ),
inference(forward_demodulation,[],[f806,f2498]) ).
fof(f5873,plain,
( ~ spl140_281
| ~ spl140_277
| spl140_328 ),
inference(avatar_split_clause,[],[f5866,f3011,f2531,f2558]) ).
fof(f5866,plain,
( e4 != op(e2,e1)
| ~ spl140_277
| spl140_328 ),
inference(backward_demodulation,[],[f3013,f2532]) ).
fof(f3013,plain,
( e4 != op(e2,op(e4,e2))
| spl140_328 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f5871,plain,
( ~ spl140_274
| ~ spl140_277
| spl140_319 ),
inference(avatar_contradiction_clause,[],[f5870]) ).
fof(f5870,plain,
( $false
| ~ spl140_274
| ~ spl140_277
| spl140_319 ),
inference(subsumption_resolution,[],[f5864,f2507]) ).
fof(f2507,plain,
( e2 = op(e1,e4)
| ~ spl140_274 ),
inference(avatar_component_clause,[],[f2505]) ).
fof(f5864,plain,
( e2 != op(e1,e4)
| ~ spl140_277
| spl140_319 ),
inference(backward_demodulation,[],[f2888,f2532]) ).
fof(f2888,plain,
( e2 != op(op(e4,e2),e4)
| spl140_319 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f5858,plain,
( ~ spl140_325
| ~ spl140_47 ),
inference(avatar_split_clause,[],[f5857,f1456,f2946]) ).
fof(f5857,plain,
( op(e4,e2) != unit
| ~ spl140_47 ),
inference(forward_demodulation,[],[f839,f1457]) ).
fof(f1457,plain,
( op(e4,e4) = unit
| ~ spl140_47 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f839,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f5846,plain,
( ~ spl140_233
| ~ spl140_302 ),
inference(avatar_split_clause,[],[f5708,f2724,f2276]) ).
fof(f5708,plain,
( e3 != op(e2,e1)
| ~ spl140_302 ),
inference(forward_demodulation,[],[f781,f2726]) ).
fof(f2726,plain,
( e3 = op(e2,e4)
| ~ spl140_302 ),
inference(avatar_component_clause,[],[f2724]) ).
fof(f5845,plain,
( spl140_281
| ~ spl140_274
| ~ spl140_308 ),
inference(avatar_split_clause,[],[f5760,f2809,f2505,f2558]) ).
fof(f2809,plain,
( spl140_308
<=> e4 = op(op(e1,e4),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_308])]) ).
fof(f5760,plain,
( e4 = op(e2,e1)
| ~ spl140_274
| ~ spl140_308 ),
inference(forward_demodulation,[],[f2811,f2507]) ).
fof(f2811,plain,
( e4 = op(op(e1,e4),e1)
| ~ spl140_308 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f5843,plain,
( spl140_145
| ~ spl140_265
| ~ spl140_272 ),
inference(avatar_contradiction_clause,[],[f5842]) ).
fof(f5842,plain,
( $false
| spl140_145
| ~ spl140_265
| ~ spl140_272 ),
inference(subsumption_resolution,[],[f5841,f2498]) ).
fof(f5841,plain,
( e3 != op(e4,e1)
| spl140_145
| ~ spl140_265 ),
inference(backward_demodulation,[],[f1882,f2463]) ).
fof(f1882,plain,
( e3 != op(e4,op(e3,e4))
| spl140_145 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f1880,plain,
( spl140_145
<=> e3 = op(e4,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_145])]) ).
fof(f5838,plain,
( ~ spl140_325
| ~ spl140_87 ),
inference(avatar_split_clause,[],[f5837,f1623,f2946]) ).
fof(f5837,plain,
( op(e4,e2) != unit
| ~ spl140_87 ),
inference(backward_demodulation,[],[f810,f1625]) ).
fof(f5834,plain,
( ~ spl140_296
| ~ spl140_204
| spl140_250 ),
inference(avatar_split_clause,[],[f5833,f2377,f2137,f2681]) ).
fof(f2377,plain,
( spl140_250
<=> op(e2,e3) = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_250])]) ).
fof(f5833,plain,
( e1 != op(e3,e2)
| ~ spl140_204
| spl140_250 ),
inference(forward_demodulation,[],[f2378,f2139]) ).
fof(f2378,plain,
( op(e2,e3) != op(e3,e2)
| spl140_250 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f5832,plain,
( ~ spl140_204
| ~ spl140_209
| spl140_241 ),
inference(avatar_contradiction_clause,[],[f5831]) ).
fof(f5831,plain,
( $false
| ~ spl140_204
| ~ spl140_209
| spl140_241 ),
inference(subsumption_resolution,[],[f5830,f2165]) ).
fof(f5830,plain,
( e2 != op(e3,e1)
| ~ spl140_204
| spl140_241 ),
inference(forward_demodulation,[],[f2327,f2139]) ).
fof(f5824,plain,
( ~ spl140_281
| ~ spl140_38 ),
inference(avatar_split_clause,[],[f5823,f1419,f2558]) ).
fof(f1419,plain,
( spl140_38
<=> e4 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_38])]) ).
fof(f5823,plain,
( e4 != op(e2,e1)
| ~ spl140_38 ),
inference(backward_demodulation,[],[f754,f1420]) ).
fof(f1420,plain,
( e4 = op(e2,e2)
| ~ spl140_38 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f5822,plain,
( ~ spl140_118
| ~ spl140_204 ),
inference(avatar_split_clause,[],[f5820,f2137,f1762]) ).
fof(f5820,plain,
( e1 != op(e2,e2)
| ~ spl140_204 ),
inference(backward_demodulation,[],[f769,f2139]) ).
fof(f5817,plain,
( spl140_84
| ~ spl140_88
| ~ spl140_334 ),
inference(avatar_contradiction_clause,[],[f5816]) ).
fof(f5816,plain,
( $false
| spl140_84
| ~ spl140_88
| ~ spl140_334 ),
inference(subsumption_resolution,[],[f5815,f1611]) ).
fof(f1611,plain,
( e2 != op(e1,e3)
| spl140_84 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f5815,plain,
( e2 = op(e1,e3)
| ~ spl140_88
| ~ spl140_334 ),
inference(forward_demodulation,[],[f3076,f1630]) ).
fof(f1630,plain,
( e3 = op(e1,e2)
| ~ spl140_88 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f5811,plain,
( spl140_204
| ~ spl140_88
| ~ spl140_333 ),
inference(avatar_split_clause,[],[f5810,f3070,f1628,f2137]) ).
fof(f5810,plain,
( e1 = op(e2,e3)
| ~ spl140_88
| ~ spl140_333 ),
inference(forward_demodulation,[],[f3071,f1630]) ).
fof(f5809,plain,
( ~ spl140_257
| ~ spl140_105
| spl140_300 ),
inference(avatar_split_clause,[],[f5808,f2708,f1704,f2417]) ).
fof(f5808,plain,
( e4 != op(e3,e2)
| ~ spl140_105
| spl140_300 ),
inference(forward_demodulation,[],[f2710,f1706]) ).
fof(f1706,plain,
( e2 = op(e4,e3)
| ~ spl140_105 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f5804,plain,
( ~ spl140_278
| spl140_248
| ~ spl140_302 ),
inference(avatar_split_clause,[],[f5803,f2724,f2360,f2538]) ).
fof(f5803,plain,
( e3 != op(e4,e2)
| spl140_248
| ~ spl140_302 ),
inference(forward_demodulation,[],[f2361,f2726]) ).
fof(f5799,plain,
( ~ spl140_105
| spl140_253
| ~ spl140_272
| ~ spl140_338 ),
inference(avatar_contradiction_clause,[],[f5798]) ).
fof(f5798,plain,
( $false
| ~ spl140_105
| spl140_253
| ~ spl140_272
| ~ spl140_338 ),
inference(subsumption_resolution,[],[f5797,f2396]) ).
fof(f2396,plain,
( e1 != e2
| spl140_253 ),
inference(avatar_component_clause,[],[f2395]) ).
fof(f2395,plain,
( spl140_253
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_253])]) ).
fof(f5797,plain,
( e1 = e2
| ~ spl140_105
| ~ spl140_272
| ~ spl140_338 ),
inference(forward_demodulation,[],[f5796,f1706]) ).
fof(f5796,plain,
( e1 = op(e4,e3)
| ~ spl140_272
| ~ spl140_338 ),
inference(forward_demodulation,[],[f3119,f2498]) ).
fof(f5787,plain,
( spl140_60
| ~ spl140_108
| ~ spl140_282
| ~ spl140_302 ),
inference(avatar_contradiction_clause,[],[f5786]) ).
fof(f5786,plain,
( $false
| spl140_60
| ~ spl140_108
| ~ spl140_282
| ~ spl140_302 ),
inference(subsumption_resolution,[],[f5785,f1513]) ).
fof(f5785,plain,
( e4 = unit
| ~ spl140_108
| ~ spl140_282
| ~ spl140_302 ),
inference(forward_demodulation,[],[f5784,f1719]) ).
fof(f5784,plain,
( e4 = op(e2,e3)
| ~ spl140_282
| ~ spl140_302 ),
inference(forward_demodulation,[],[f2565,f2726]) ).
fof(f5781,plain,
( spl140_15
| ~ spl140_105
| ~ spl140_301
| ~ spl140_325 ),
inference(avatar_contradiction_clause,[],[f5780]) ).
fof(f5780,plain,
( $false
| spl140_15
| ~ spl140_105
| ~ spl140_301
| ~ spl140_325 ),
inference(subsumption_resolution,[],[f5779,f1324]) ).
fof(f5779,plain,
( e3 = unit
| ~ spl140_105
| ~ spl140_301
| ~ spl140_325 ),
inference(forward_demodulation,[],[f5778,f2948]) ).
fof(f5778,plain,
( e3 = op(e4,e2)
| ~ spl140_105
| ~ spl140_301 ),
inference(forward_demodulation,[],[f2714,f1706]) ).
fof(f5752,plain,
( ~ spl140_257
| ~ spl140_280
| ~ spl140_329 ),
inference(avatar_contradiction_clause,[],[f5751]) ).
fof(f5751,plain,
( $false
| ~ spl140_257
| ~ spl140_280
| ~ spl140_329 ),
inference(subsumption_resolution,[],[f5750,f1205]) ).
fof(f1205,plain,
e2 != unit,
inference(definition_unfolding,[],[f857,f899]) ).
fof(f899,plain,
e0 = unit,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
e0 = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f857,plain,
e0 != e2,
inference(cnf_transformation,[],[f6]) ).
fof(f5750,plain,
( e2 = unit
| ~ spl140_257
| ~ spl140_280
| ~ spl140_329 ),
inference(forward_demodulation,[],[f5746,f2554]) ).
fof(f5746,plain,
( e2 = op(e3,e4)
| ~ spl140_257
| ~ spl140_329 ),
inference(backward_demodulation,[],[f3033,f2419]) ).
fof(f5699,plain,
( ~ spl140_11
| ~ spl140_105 ),
inference(avatar_contradiction_clause,[],[f5698]) ).
fof(f5698,plain,
( $false
| ~ spl140_11
| ~ spl140_105 ),
inference(subsumption_resolution,[],[f5697,f1306]) ).
fof(f1306,plain,
( e2 = op(e3,e3)
| ~ spl140_11 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1305,plain,
( spl140_11
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_11])]) ).
fof(f5697,plain,
( e2 != op(e3,e3)
| ~ spl140_105 ),
inference(forward_demodulation,[],[f789,f1706]) ).
fof(f5682,plain,
( ~ spl140_142
| ~ spl140_272 ),
inference(avatar_split_clause,[],[f5681,f2496,f1866]) ).
fof(f5681,plain,
( e3 != op(e4,e4)
| ~ spl140_272 ),
inference(forward_demodulation,[],[f765,f2498]) ).
fof(f5672,plain,
( ~ spl140_11
| ~ spl140_21
| spl140_253 ),
inference(avatar_contradiction_clause,[],[f5671]) ).
fof(f5671,plain,
( $false
| ~ spl140_11
| ~ spl140_21
| spl140_253 ),
inference(subsumption_resolution,[],[f5670,f2396]) ).
fof(f5670,plain,
( e1 = e2
| ~ spl140_11
| ~ spl140_21 ),
inference(forward_demodulation,[],[f1350,f1306]) ).
fof(f1350,plain,
( e1 = op(e3,e3)
| ~ spl140_21 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f5662,plain,
( ~ spl140_11
| ~ spl140_209 ),
inference(avatar_contradiction_clause,[],[f5661]) ).
fof(f5661,plain,
( $false
| ~ spl140_11
| ~ spl140_209 ),
inference(subsumption_resolution,[],[f5097,f2165]) ).
fof(f5097,plain,
( e2 != op(e3,e1)
| ~ spl140_11 ),
inference(forward_demodulation,[],[f800,f1306]) ).
fof(f800,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f5647,plain,
( ~ spl140_142
| ~ spl140_302 ),
inference(avatar_split_clause,[],[f5646,f2724,f1866]) ).
fof(f5646,plain,
( e3 != op(e4,e4)
| ~ spl140_302 ),
inference(forward_demodulation,[],[f788,f2726]) ).
fof(f788,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f5618,plain,
( ~ spl140_88
| ~ spl140_209
| spl140_322 ),
inference(avatar_contradiction_clause,[],[f5617]) ).
fof(f5617,plain,
( $false
| ~ spl140_88
| ~ spl140_209
| spl140_322 ),
inference(subsumption_resolution,[],[f5616,f1630]) ).
fof(f5616,plain,
( e3 != op(e1,e2)
| ~ spl140_209
| spl140_322 ),
inference(forward_demodulation,[],[f2906,f2165]) ).
fof(f2906,plain,
( e3 != op(e1,op(e3,e1))
| spl140_322 ),
inference(avatar_component_clause,[],[f2904]) ).
fof(f2904,plain,
( spl140_322
<=> e3 = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_322])]) ).
fof(f5613,plain,
( ~ spl140_87
| ~ spl140_108
| spl140_250 ),
inference(avatar_split_clause,[],[f5612,f2377,f1717,f1623]) ).
fof(f5612,plain,
( op(e3,e2) != unit
| ~ spl140_108
| spl140_250 ),
inference(forward_demodulation,[],[f2378,f1719]) ).
fof(f5589,plain,
( ~ spl140_87
| ~ spl140_280 ),
inference(avatar_split_clause,[],[f5588,f2552,f1623]) ).
fof(f5588,plain,
( op(e3,e2) != unit
| ~ spl140_280 ),
inference(backward_demodulation,[],[f794,f2554]) ).
fof(f794,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f5581,plain,
( ~ spl140_116
| ~ spl140_187 ),
inference(avatar_split_clause,[],[f5580,f2060,f1753]) ).
fof(f5580,plain,
( op(e4,e1) != unit
| ~ spl140_187 ),
inference(forward_demodulation,[],[f806,f2062]) ).
fof(f5578,plain,
( ~ spl140_159
| ~ spl140_274
| spl140_309 ),
inference(avatar_split_clause,[],[f5577,f2813,f2505,f1946]) ).
fof(f2813,plain,
( spl140_309
<=> e1 = op(op(e1,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_309])]) ).
fof(f5577,plain,
( e1 != op(e2,e4)
| ~ spl140_274
| spl140_309 ),
inference(forward_demodulation,[],[f2815,f2507]) ).
fof(f2815,plain,
( e1 != op(op(e1,e4),e4)
| spl140_309 ),
inference(avatar_component_clause,[],[f2813]) ).
fof(f5575,plain,
( ~ spl140_277
| ~ spl140_274
| spl140_292 ),
inference(avatar_split_clause,[],[f5574,f2653,f2505,f2531]) ).
fof(f2653,plain,
( spl140_292
<=> e1 = op(e4,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_292])]) ).
fof(f5574,plain,
( e1 != op(e4,e2)
| ~ spl140_274
| spl140_292 ),
inference(forward_demodulation,[],[f2655,f2507]) ).
fof(f2655,plain,
( e1 != op(e4,op(e1,e4))
| spl140_292 ),
inference(avatar_component_clause,[],[f2653]) ).
fof(f5571,plain,
( ~ spl140_97
| ~ spl140_300 ),
inference(avatar_contradiction_clause,[],[f5570]) ).
fof(f5570,plain,
( $false
| ~ spl140_97
| ~ spl140_300 ),
inference(subsumption_resolution,[],[f5569,f861]) ).
fof(f5569,plain,
( e3 = e4
| ~ spl140_97
| ~ spl140_300 ),
inference(forward_demodulation,[],[f5568,f888]) ).
fof(f888,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e0 = op(e0,unit)
& e4 = op(e4,unit)
& e1 = op(e1,unit)
& e2 = op(unit,e2)
& e1 = op(unit,e1)
& e2 = op(e2,unit)
& e0 = op(unit,e0)
& e4 = op(unit,e4)
& e3 = op(unit,e3)
& ( e1 = unit
| e0 = unit
| e4 = unit
| e3 = unit
| e2 = unit )
& e3 = op(e3,unit) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f5568,plain,
( e4 = op(e3,unit)
| ~ spl140_97
| ~ spl140_300 ),
inference(forward_demodulation,[],[f2709,f1669]) ).
fof(f2709,plain,
( e4 = op(e3,op(e4,e3))
| ~ spl140_300 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f5545,plain,
( ~ spl140_123
| ~ spl140_247
| spl140_287 ),
inference(avatar_contradiction_clause,[],[f5544]) ).
fof(f5544,plain,
( $false
| ~ spl140_123
| ~ spl140_247
| spl140_287 ),
inference(subsumption_resolution,[],[f5543,f2616]) ).
fof(f2616,plain,
( e2 != e4
| spl140_287 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f2615,plain,
( spl140_287
<=> e2 = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_287])]) ).
fof(f5543,plain,
( e2 = e4
| ~ spl140_123
| ~ spl140_247 ),
inference(forward_demodulation,[],[f5539,f895]) ).
fof(f895,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f5539,plain,
( e4 = op(unit,e2)
| ~ spl140_123
| ~ spl140_247 ),
inference(backward_demodulation,[],[f2358,f1788]) ).
fof(f2358,plain,
( e4 = op(op(e2,e4),e2)
| ~ spl140_247 ),
inference(avatar_component_clause,[],[f2356]) ).
fof(f2356,plain,
( spl140_247
<=> e4 = op(op(e2,e4),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_247])]) ).
fof(f5533,plain,
( spl140_50
| ~ spl140_87
| ~ spl140_204
| ~ spl140_250 ),
inference(avatar_contradiction_clause,[],[f5532]) ).
fof(f5532,plain,
( $false
| spl140_50
| ~ spl140_87
| ~ spl140_204
| ~ spl140_250 ),
inference(subsumption_resolution,[],[f5531,f1470]) ).
fof(f5531,plain,
( e1 = unit
| ~ spl140_87
| ~ spl140_204
| ~ spl140_250 ),
inference(forward_demodulation,[],[f5530,f2139]) ).
fof(f5530,plain,
( op(e2,e3) = unit
| ~ spl140_87
| ~ spl140_250 ),
inference(forward_demodulation,[],[f2379,f1625]) ).
fof(f2379,plain,
( op(e2,e3) = op(e3,e2)
| ~ spl140_250 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f5507,plain,
( ~ spl140_48
| ~ spl140_243 ),
inference(avatar_contradiction_clause,[],[f5506]) ).
fof(f5506,plain,
( $false
| ~ spl140_48
| ~ spl140_243 ),
inference(subsumption_resolution,[],[f5505,f859]) ).
fof(f859,plain,
e1 != e4,
inference(cnf_transformation,[],[f6]) ).
fof(f5505,plain,
( e1 = e4
| ~ spl140_48
| ~ spl140_243 ),
inference(forward_demodulation,[],[f2338,f1462]) ).
fof(f2338,plain,
( e1 = op(e4,unit)
| ~ spl140_243 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2336,plain,
( spl140_243
<=> e1 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_243])]) ).
fof(f5492,plain,
( ~ spl140_88
| ~ spl140_274
| ~ spl140_291 ),
inference(avatar_contradiction_clause,[],[f5491]) ).
fof(f5491,plain,
( $false
| ~ spl140_88
| ~ spl140_274
| ~ spl140_291 ),
inference(subsumption_resolution,[],[f5490,f861]) ).
fof(f5490,plain,
( e3 = e4
| ~ spl140_88
| ~ spl140_274
| ~ spl140_291 ),
inference(forward_demodulation,[],[f5489,f1630]) ).
fof(f5489,plain,
( e4 = op(e1,e2)
| ~ spl140_274
| ~ spl140_291 ),
inference(forward_demodulation,[],[f2651,f2507]) ).
fof(f5464,plain,
( ~ spl140_87
| ~ spl140_201
| ~ spl140_330 ),
inference(avatar_contradiction_clause,[],[f5463]) ).
fof(f5463,plain,
( $false
| ~ spl140_87
| ~ spl140_201
| ~ spl140_330 ),
inference(subsumption_resolution,[],[f5462,f854]) ).
fof(f5462,plain,
( e2 = e3
| ~ spl140_87
| ~ spl140_201
| ~ spl140_330 ),
inference(forward_demodulation,[],[f5460,f2124]) ).
fof(f2124,plain,
( e2 = op(e2,unit)
| ~ spl140_201 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2122,plain,
( spl140_201
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_201])]) ).
fof(f5460,plain,
( e3 = op(e2,unit)
| ~ spl140_87
| ~ spl140_330 ),
inference(backward_demodulation,[],[f3036,f1625]) ).
fof(f5449,plain,
( ~ spl140_211
| ~ spl140_274 ),
inference(avatar_split_clause,[],[f5448,f2505,f2173]) ).
fof(f5448,plain,
( e2 != op(e3,e4)
| ~ spl140_274 ),
inference(forward_demodulation,[],[f799,f2507]) ).
fof(f5447,plain,
( spl140_296
| ~ spl140_233
| ~ spl140_305 ),
inference(avatar_split_clause,[],[f5368,f2743,f2276,f2681]) ).
fof(f5368,plain,
( e1 = op(e3,e2)
| ~ spl140_233
| ~ spl140_305 ),
inference(forward_demodulation,[],[f2745,f2277]) ).
fof(f2745,plain,
( e1 = op(op(e2,e1),e2)
| ~ spl140_305 ),
inference(avatar_component_clause,[],[f2743]) ).
fof(f5426,plain,
( spl140_287
| ~ spl140_320
| ~ spl140_325 ),
inference(avatar_contradiction_clause,[],[f5425]) ).
fof(f5425,plain,
( $false
| spl140_287
| ~ spl140_320
| ~ spl140_325 ),
inference(subsumption_resolution,[],[f5424,f2616]) ).
fof(f5424,plain,
( e2 = e4
| ~ spl140_320
| ~ spl140_325 ),
inference(forward_demodulation,[],[f5423,f895]) ).
fof(f5423,plain,
( e4 = op(unit,e2)
| ~ spl140_320
| ~ spl140_325 ),
inference(forward_demodulation,[],[f2892,f2948]) ).
fof(f2892,plain,
( e4 = op(op(e4,e2),e2)
| ~ spl140_320 ),
inference(avatar_component_clause,[],[f2891]) ).
fof(f2891,plain,
( spl140_320
<=> e4 = op(op(e4,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_320])]) ).
fof(f5418,plain,
( ~ spl140_88
| ~ spl140_296
| spl140_315 ),
inference(avatar_contradiction_clause,[],[f5417]) ).
fof(f5417,plain,
( $false
| ~ spl140_88
| ~ spl140_296
| spl140_315 ),
inference(subsumption_resolution,[],[f5416,f1630]) ).
fof(f5416,plain,
( e3 != op(e1,e2)
| ~ spl140_296
| spl140_315 ),
inference(forward_demodulation,[],[f2871,f2683]) ).
fof(f2871,plain,
( e3 != op(op(e3,e2),e2)
| spl140_315 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f2869,plain,
( spl140_315
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_315])]) ).
fof(f5400,plain,
( ~ spl140_274
| ~ spl140_276
| ~ spl140_307 ),
inference(avatar_contradiction_clause,[],[f5399]) ).
fof(f5399,plain,
( $false
| ~ spl140_274
| ~ spl140_276
| ~ spl140_307 ),
inference(subsumption_resolution,[],[f5398,f854]) ).
fof(f5398,plain,
( e2 = e3
| ~ spl140_274
| ~ spl140_276
| ~ spl140_307 ),
inference(forward_demodulation,[],[f5397,f2507]) ).
fof(f5397,plain,
( e3 = op(e1,e4)
| ~ spl140_276
| ~ spl140_307 ),
inference(forward_demodulation,[],[f2521,f2796]) ).
fof(f2521,plain,
( e3 = op(op(e4,e3),e4)
| ~ spl140_276 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2519,plain,
( spl140_276
<=> e3 = op(op(e4,e3),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_276])]) ).
fof(f5392,plain,
( ~ spl140_156
| ~ spl140_233
| ~ spl140_288 ),
inference(avatar_contradiction_clause,[],[f5391]) ).
fof(f5391,plain,
( $false
| ~ spl140_156
| ~ spl140_233
| ~ spl140_288 ),
inference(subsumption_resolution,[],[f5390,f861]) ).
fof(f5390,plain,
( e3 = e4
| ~ spl140_156
| ~ spl140_233
| ~ spl140_288 ),
inference(forward_demodulation,[],[f5129,f2277]) ).
fof(f5129,plain,
( e4 = op(e2,e1)
| ~ spl140_156
| ~ spl140_288 ),
inference(backward_demodulation,[],[f2628,f1934]) ).
fof(f2628,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl140_288 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f2627,plain,
( spl140_288
<=> e4 = op(op(e4,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_288])]) ).
fof(f5375,plain,
( ~ spl140_159
| ~ spl140_233
| ~ spl140_282 ),
inference(avatar_contradiction_clause,[],[f5374]) ).
fof(f5374,plain,
( $false
| ~ spl140_159
| ~ spl140_233
| ~ spl140_282 ),
inference(subsumption_resolution,[],[f5373,f861]) ).
fof(f5373,plain,
( e3 = e4
| ~ spl140_159
| ~ spl140_233
| ~ spl140_282 ),
inference(forward_demodulation,[],[f5289,f2277]) ).
fof(f5289,plain,
( e4 = op(e2,e1)
| ~ spl140_159
| ~ spl140_282 ),
inference(backward_demodulation,[],[f2565,f1948]) ).
fof(f5372,plain,
( ~ spl140_88
| ~ spl140_111
| ~ spl140_124
| spl140_287 ),
inference(avatar_contradiction_clause,[],[f5371]) ).
fof(f5371,plain,
( $false
| ~ spl140_88
| ~ spl140_111
| ~ spl140_124
| spl140_287 ),
inference(subsumption_resolution,[],[f5370,f2616]) ).
fof(f5370,plain,
( e2 = e4
| ~ spl140_88
| ~ spl140_111
| ~ spl140_124 ),
inference(forward_demodulation,[],[f5369,f1793]) ).
fof(f5369,plain,
( e2 = op(e3,e1)
| ~ spl140_88
| ~ spl140_111 ),
inference(forward_demodulation,[],[f1732,f1630]) ).
fof(f5356,plain,
( ~ spl140_88
| ~ spl140_159
| ~ spl140_247 ),
inference(avatar_contradiction_clause,[],[f5355]) ).
fof(f5355,plain,
( $false
| ~ spl140_88
| ~ spl140_159
| ~ spl140_247 ),
inference(subsumption_resolution,[],[f5354,f861]) ).
fof(f5354,plain,
( e3 = e4
| ~ spl140_88
| ~ spl140_159
| ~ spl140_247 ),
inference(forward_demodulation,[],[f5353,f1630]) ).
fof(f5353,plain,
( e4 = op(e1,e2)
| ~ spl140_159
| ~ spl140_247 ),
inference(forward_demodulation,[],[f2358,f1948]) ).
fof(f5325,plain,
( ~ spl140_296
| ~ spl140_88
| spl140_109 ),
inference(avatar_split_clause,[],[f5321,f1722,f1628,f2681]) ).
fof(f1722,plain,
( spl140_109
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_109])]) ).
fof(f5321,plain,
( e1 != op(e3,e2)
| ~ spl140_88
| spl140_109 ),
inference(backward_demodulation,[],[f1724,f1630]) ).
fof(f1724,plain,
( e1 != op(op(e1,e2),e2)
| spl140_109 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f5324,plain,
( spl140_233
| ~ spl140_88
| ~ spl140_110 ),
inference(avatar_split_clause,[],[f5322,f1726,f1628,f2276]) ).
fof(f5322,plain,
( e3 = op(e2,e1)
| ~ spl140_88
| ~ spl140_110 ),
inference(backward_demodulation,[],[f1728,f1630]) ).
fof(f5298,plain,
( ~ spl140_296
| ~ spl140_159
| ~ spl140_248 ),
inference(avatar_split_clause,[],[f5292,f2360,f1946,f2681]) ).
fof(f5292,plain,
( e1 != op(e3,e2)
| ~ spl140_159
| ~ spl140_248 ),
inference(backward_demodulation,[],[f5205,f1948]) ).
fof(f5205,plain,
( op(e2,e4) != op(e3,e2)
| ~ spl140_248 ),
inference(backward_demodulation,[],[f810,f2362]) ).
fof(f2362,plain,
( op(e2,e4) = op(e4,e2)
| ~ spl140_248 ),
inference(avatar_component_clause,[],[f2360]) ).
fof(f5294,plain,
( spl140_277
| ~ spl140_159
| ~ spl140_248 ),
inference(avatar_split_clause,[],[f5288,f2360,f1946,f2531]) ).
fof(f5288,plain,
( e1 = op(e4,e2)
| ~ spl140_159
| ~ spl140_248 ),
inference(backward_demodulation,[],[f2362,f1948]) ).
fof(f5281,plain,
( ~ spl140_177
| ~ spl140_187 ),
inference(avatar_split_clause,[],[f5276,f2060,f2018]) ).
fof(f5276,plain,
( op(e3,e1) != unit
| ~ spl140_187 ),
inference(backward_demodulation,[],[f790,f2062]) ).
fof(f5259,plain,
( spl140_50
| ~ spl140_256
| ~ spl140_280
| ~ spl140_307 ),
inference(avatar_contradiction_clause,[],[f5258]) ).
fof(f5258,plain,
( $false
| spl140_50
| ~ spl140_256
| ~ spl140_280
| ~ spl140_307 ),
inference(subsumption_resolution,[],[f5257,f1470]) ).
fof(f5257,plain,
( e1 = unit
| ~ spl140_256
| ~ spl140_280
| ~ spl140_307 ),
inference(forward_demodulation,[],[f5167,f2554]) ).
fof(f5167,plain,
( e1 = op(e3,e4)
| ~ spl140_256
| ~ spl140_307 ),
inference(forward_demodulation,[],[f2413,f2796]) ).
fof(f5241,plain,
( ~ spl140_257
| ~ spl140_38 ),
inference(avatar_split_clause,[],[f5240,f1419,f2417]) ).
fof(f5240,plain,
( e4 != op(e3,e2)
| ~ spl140_38 ),
inference(forward_demodulation,[],[f837,f1420]) ).
fof(f5239,plain,
( ~ spl140_283
| ~ spl140_248
| spl140_327 ),
inference(avatar_split_clause,[],[f5238,f3007,f2360,f2567]) ).
fof(f2567,plain,
( spl140_283
<=> e2 = op(e4,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_283])]) ).
fof(f5238,plain,
( e2 != op(e4,op(e2,e4))
| ~ spl140_248
| spl140_327 ),
inference(forward_demodulation,[],[f3008,f2362]) ).
fof(f5212,plain,
( ~ spl140_123
| ~ spl140_108 ),
inference(avatar_split_clause,[],[f5211,f1717,f1786]) ).
fof(f5211,plain,
( op(e2,e4) != unit
| ~ spl140_108 ),
inference(forward_demodulation,[],[f768,f1719]) ).
fof(f5210,plain,
( spl140_247
| ~ spl140_248
| ~ spl140_320 ),
inference(avatar_split_clause,[],[f5207,f2891,f2360,f2356]) ).
fof(f5207,plain,
( e4 = op(op(e2,e4),e2)
| ~ spl140_248
| ~ spl140_320 ),
inference(backward_demodulation,[],[f2892,f2362]) ).
fof(f5200,plain,
( spl140_88
| ~ spl140_110
| ~ spl140_233 ),
inference(avatar_split_clause,[],[f5199,f2276,f1726,f1628]) ).
fof(f5199,plain,
( e3 = op(e1,e2)
| ~ spl140_110
| ~ spl140_233 ),
inference(forward_demodulation,[],[f2277,f1728]) ).
fof(f5193,plain,
( ~ spl140_237
| ~ spl140_274 ),
inference(avatar_split_clause,[],[f4690,f2505,f2302]) ).
fof(f4690,plain,
( e2 != op(e1,e1)
| ~ spl140_274 ),
inference(forward_demodulation,[],[f845,f2507]) ).
fof(f845,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f5192,plain,
( ~ spl140_104
| ~ spl140_154 ),
inference(avatar_split_clause,[],[f4831,f1922,f1699]) ).
fof(f4831,plain,
( e4 != op(e1,e1)
| ~ spl140_154 ),
inference(forward_demodulation,[],[f834,f1924]) ).
fof(f5186,plain,
( ~ spl140_211
| ~ spl140_11 ),
inference(avatar_split_clause,[],[f5185,f1305,f2173]) ).
fof(f5185,plain,
( e2 != op(e3,e4)
| ~ spl140_11 ),
inference(forward_demodulation,[],[f848,f1306]) ).
fof(f848,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f5171,plain,
( spl140_253
| ~ spl140_257
| ~ spl140_307
| ~ spl140_316 ),
inference(avatar_contradiction_clause,[],[f5170]) ).
fof(f5170,plain,
( $false
| spl140_253
| ~ spl140_257
| ~ spl140_307
| ~ spl140_316 ),
inference(subsumption_resolution,[],[f5169,f2396]) ).
fof(f5169,plain,
( e1 = e2
| ~ spl140_257
| ~ spl140_307
| ~ spl140_316 ),
inference(forward_demodulation,[],[f5168,f2796]) ).
fof(f5168,plain,
( e2 = op(e4,e3)
| ~ spl140_257
| ~ spl140_316 ),
inference(forward_demodulation,[],[f2875,f2419]) ).
fof(f2875,plain,
( e2 = op(op(e3,e2),e3)
| ~ spl140_316 ),
inference(avatar_component_clause,[],[f2873]) ).
fof(f2873,plain,
( spl140_316
<=> e2 = op(op(e3,e2),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_316])]) ).
fof(f5161,plain,
( spl140_239
| ~ spl140_278
| ~ spl140_281
| ~ spl140_305 ),
inference(avatar_contradiction_clause,[],[f5160]) ).
fof(f5160,plain,
( $false
| spl140_239
| ~ spl140_278
| ~ spl140_281
| ~ spl140_305 ),
inference(subsumption_resolution,[],[f5159,f2314]) ).
fof(f5159,plain,
( e1 = e3
| ~ spl140_278
| ~ spl140_281
| ~ spl140_305 ),
inference(forward_demodulation,[],[f5158,f2540]) ).
fof(f5158,plain,
( e1 = op(e4,e2)
| ~ spl140_281
| ~ spl140_305 ),
inference(forward_demodulation,[],[f2745,f2559]) ).
fof(f5109,plain,
( spl140_205
| ~ spl140_250
| ~ spl140_257 ),
inference(avatar_contradiction_clause,[],[f5108]) ).
fof(f5108,plain,
( $false
| spl140_205
| ~ spl140_250
| ~ spl140_257 ),
inference(subsumption_resolution,[],[f5107,f2142]) ).
fof(f2142,plain,
( e4 != op(e2,e3)
| spl140_205 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f5107,plain,
( e4 = op(e2,e3)
| ~ spl140_250
| ~ spl140_257 ),
inference(forward_demodulation,[],[f2379,f2419]) ).
fof(f5057,plain,
( spl140_205
| ~ spl140_278
| ~ spl140_328 ),
inference(avatar_split_clause,[],[f5054,f3011,f2538,f2141]) ).
fof(f5054,plain,
( e4 = op(e2,e3)
| ~ spl140_278
| ~ spl140_328 ),
inference(backward_demodulation,[],[f3012,f2540]) ).
fof(f5037,plain,
( ~ spl140_47
| ~ spl140_48
| spl140_297 ),
inference(avatar_contradiction_clause,[],[f5036]) ).
fof(f5036,plain,
( $false
| ~ spl140_47
| ~ spl140_48
| spl140_297 ),
inference(subsumption_resolution,[],[f4914,f1457]) ).
fof(f4914,plain,
( op(e4,e4) != unit
| ~ spl140_48
| spl140_297 ),
inference(forward_demodulation,[],[f2691,f1462]) ).
fof(f2691,plain,
( unit != op(e4,op(e4,unit))
| spl140_297 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f5035,plain,
( ~ spl140_154
| spl140_275
| ~ spl140_307 ),
inference(avatar_contradiction_clause,[],[f5034]) ).
fof(f5034,plain,
( $false
| ~ spl140_154
| spl140_275
| ~ spl140_307 ),
inference(subsumption_resolution,[],[f5033,f1924]) ).
fof(f5033,plain,
( e4 != op(e1,e3)
| spl140_275
| ~ spl140_307 ),
inference(backward_demodulation,[],[f2517,f2796]) ).
fof(f2517,plain,
( e4 != op(op(e4,e3),e3)
| spl140_275 ),
inference(avatar_component_clause,[],[f2515]) ).
fof(f2515,plain,
( spl140_275
<=> e4 = op(op(e4,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_275])]) ).
fof(f5030,plain,
( spl140_278
| ~ spl140_257
| ~ spl140_315 ),
inference(avatar_split_clause,[],[f5029,f2869,f2417,f2538]) ).
fof(f5029,plain,
( e3 = op(e4,e2)
| ~ spl140_257
| ~ spl140_315 ),
inference(forward_demodulation,[],[f2870,f2419]) ).
fof(f2870,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl140_315 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f5000,plain,
( ~ spl140_154
| ~ spl140_274
| ~ spl140_336 ),
inference(avatar_contradiction_clause,[],[f4999]) ).
fof(f4999,plain,
( $false
| ~ spl140_154
| ~ spl140_274
| ~ spl140_336 ),
inference(subsumption_resolution,[],[f4998,f854]) ).
fof(f4998,plain,
( e2 = e3
| ~ spl140_154
| ~ spl140_274
| ~ spl140_336 ),
inference(forward_demodulation,[],[f4997,f2507]) ).
fof(f4997,plain,
( e3 = op(e1,e4)
| ~ spl140_154
| ~ spl140_336 ),
inference(forward_demodulation,[],[f3094,f1924]) ).
fof(f4996,plain,
( spl140_60
| ~ spl140_91
| ~ spl140_274
| ~ spl140_291 ),
inference(avatar_contradiction_clause,[],[f4995]) ).
fof(f4995,plain,
( $false
| spl140_60
| ~ spl140_91
| ~ spl140_274
| ~ spl140_291 ),
inference(subsumption_resolution,[],[f4994,f1513]) ).
fof(f4994,plain,
( e4 = unit
| ~ spl140_91
| ~ spl140_274
| ~ spl140_291 ),
inference(forward_demodulation,[],[f4993,f1642]) ).
fof(f4993,plain,
( e4 = op(e1,e2)
| ~ spl140_274
| ~ spl140_291 ),
inference(forward_demodulation,[],[f2651,f2507]) ).
fof(f4986,plain,
( spl140_50
| ~ spl140_123
| ~ spl140_281
| ~ spl140_317 ),
inference(avatar_contradiction_clause,[],[f4985]) ).
fof(f4985,plain,
( $false
| spl140_50
| ~ spl140_123
| ~ spl140_281
| ~ spl140_317 ),
inference(subsumption_resolution,[],[f4984,f1470]) ).
fof(f4984,plain,
( e1 = unit
| ~ spl140_123
| ~ spl140_281
| ~ spl140_317 ),
inference(forward_demodulation,[],[f4983,f1788]) ).
fof(f4983,plain,
( e1 = op(e2,e4)
| ~ spl140_281
| ~ spl140_317 ),
inference(forward_demodulation,[],[f2880,f2559]) ).
fof(f4979,plain,
( ~ spl140_116
| ~ spl140_277
| ~ spl140_327 ),
inference(avatar_contradiction_clause,[],[f4978]) ).
fof(f4978,plain,
( $false
| ~ spl140_116
| ~ spl140_277
| ~ spl140_327 ),
inference(subsumption_resolution,[],[f4977,f1205]) ).
fof(f4977,plain,
( e2 = unit
| ~ spl140_116
| ~ spl140_277
| ~ spl140_327 ),
inference(forward_demodulation,[],[f4976,f1754]) ).
fof(f4976,plain,
( e2 = op(e4,e1)
| ~ spl140_277
| ~ spl140_327 ),
inference(forward_demodulation,[],[f3009,f2532]) ).
fof(f4972,plain,
( ~ spl140_274
| ~ spl140_281
| spl140_318 ),
inference(avatar_contradiction_clause,[],[f4971]) ).
fof(f4971,plain,
( $false
| ~ spl140_274
| ~ spl140_281
| spl140_318 ),
inference(subsumption_resolution,[],[f4970,f2507]) ).
fof(f4970,plain,
( e2 != op(e1,e4)
| ~ spl140_281
| spl140_318 ),
inference(forward_demodulation,[],[f2884,f2559]) ).
fof(f2884,plain,
( e2 != op(e1,op(e2,e1))
| spl140_318 ),
inference(avatar_component_clause,[],[f2882]) ).
fof(f2882,plain,
( spl140_318
<=> e2 = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_318])]) ).
fof(f4901,plain,
( ~ spl140_302
| ~ spl140_257
| spl140_330 ),
inference(avatar_split_clause,[],[f4900,f3035,f2417,f2724]) ).
fof(f4900,plain,
( e3 != op(e2,e4)
| ~ spl140_257
| spl140_330 ),
inference(forward_demodulation,[],[f3037,f2419]) ).
fof(f3037,plain,
( e3 != op(e2,op(e3,e2))
| spl140_330 ),
inference(avatar_component_clause,[],[f3035]) ).
fof(f4877,plain,
( ~ spl140_278
| ~ spl140_142 ),
inference(avatar_split_clause,[],[f4875,f1866,f2538]) ).
fof(f4875,plain,
( e3 != op(e4,e2)
| ~ spl140_142 ),
inference(backward_demodulation,[],[f839,f1867]) ).
fof(f4874,plain,
( ~ spl140_325
| ~ spl140_116 ),
inference(avatar_split_clause,[],[f4873,f1753,f2946]) ).
fof(f4873,plain,
( op(e4,e2) != unit
| ~ spl140_116 ),
inference(forward_demodulation,[],[f825,f1754]) ).
fof(f4872,plain,
( ~ spl140_325
| ~ spl140_91 ),
inference(avatar_split_clause,[],[f4871,f1640,f2946]) ).
fof(f4871,plain,
( op(e4,e2) != unit
| ~ spl140_91 ),
inference(forward_demodulation,[],[f852,f1642]) ).
fof(f852,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f4852,plain,
( ~ spl140_116
| ~ spl140_263
| ~ spl140_337 ),
inference(avatar_contradiction_clause,[],[f4851]) ).
fof(f4851,plain,
( $false
| ~ spl140_116
| ~ spl140_263
| ~ spl140_337 ),
inference(subsumption_resolution,[],[f4850,f859]) ).
fof(f4850,plain,
( e1 = e4
| ~ spl140_116
| ~ spl140_263
| ~ spl140_337 ),
inference(forward_demodulation,[],[f4846,f2451]) ).
fof(f2451,plain,
( e1 = op(e1,unit)
| ~ spl140_263 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f2450,plain,
( spl140_263
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_263])]) ).
fof(f4846,plain,
( e4 = op(e1,unit)
| ~ spl140_116
| ~ spl140_337 ),
inference(backward_demodulation,[],[f3114,f1754]) ).
fof(f4815,plain,
( ~ spl140_105
| spl140_253
| ~ spl140_307 ),
inference(avatar_contradiction_clause,[],[f4814]) ).
fof(f4814,plain,
( $false
| ~ spl140_105
| spl140_253
| ~ spl140_307 ),
inference(subsumption_resolution,[],[f4813,f2396]) ).
fof(f4813,plain,
( e1 = e2
| ~ spl140_105
| ~ spl140_307 ),
inference(forward_demodulation,[],[f2796,f1706]) ).
fof(f4797,plain,
( ~ spl140_105
| spl140_283
| ~ spl140_302 ),
inference(avatar_contradiction_clause,[],[f4796]) ).
fof(f4796,plain,
( $false
| ~ spl140_105
| spl140_283
| ~ spl140_302 ),
inference(subsumption_resolution,[],[f4795,f1706]) ).
fof(f4795,plain,
( e2 != op(e4,e3)
| spl140_283
| ~ spl140_302 ),
inference(backward_demodulation,[],[f2569,f2726]) ).
fof(f2569,plain,
( e2 != op(e4,op(e2,e4))
| spl140_283 ),
inference(avatar_component_clause,[],[f2567]) ).
fof(f4774,plain,
( ~ spl140_89
| ~ spl140_154 ),
inference(avatar_split_clause,[],[f4600,f1922,f1632]) ).
fof(f4600,plain,
( e4 != op(e1,e2)
| ~ spl140_154 ),
inference(forward_demodulation,[],[f823,f1924]) ).
fof(f823,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f4767,plain,
( ~ spl140_116
| ~ spl140_47 ),
inference(avatar_split_clause,[],[f4766,f1456,f1753]) ).
fof(f4766,plain,
( op(e4,e1) != unit
| ~ spl140_47 ),
inference(forward_demodulation,[],[f765,f1457]) ).
fof(f4764,plain,
( ~ spl140_123
| ~ spl140_47 ),
inference(avatar_split_clause,[],[f4763,f1456,f1786]) ).
fof(f4763,plain,
( op(e2,e4) != unit
| ~ spl140_47 ),
inference(backward_demodulation,[],[f788,f1457]) ).
fof(f4747,plain,
( ~ spl140_257
| ~ spl140_278
| spl140_315 ),
inference(avatar_contradiction_clause,[],[f4746]) ).
fof(f4746,plain,
( $false
| ~ spl140_257
| ~ spl140_278
| spl140_315 ),
inference(subsumption_resolution,[],[f4625,f2540]) ).
fof(f4625,plain,
( e3 != op(e4,e2)
| ~ spl140_257
| spl140_315 ),
inference(forward_demodulation,[],[f2871,f2419]) ).
fof(f4729,plain,
( spl140_156
| ~ spl140_274
| ~ spl140_289 ),
inference(avatar_contradiction_clause,[],[f4728]) ).
fof(f4728,plain,
( $false
| spl140_156
| ~ spl140_274
| ~ spl140_289 ),
inference(subsumption_resolution,[],[f4727,f1933]) ).
fof(f1933,plain,
( e2 != op(e4,e1)
| spl140_156 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f4727,plain,
( e2 = op(e4,e1)
| ~ spl140_274
| ~ spl140_289 ),
inference(forward_demodulation,[],[f2633,f2507]) ).
fof(f4726,plain,
( ~ spl140_105
| ~ spl140_278
| spl140_327 ),
inference(avatar_contradiction_clause,[],[f4725]) ).
fof(f4725,plain,
( $false
| ~ spl140_105
| ~ spl140_278
| spl140_327 ),
inference(subsumption_resolution,[],[f4724,f1706]) ).
fof(f4724,plain,
( e2 != op(e4,e3)
| ~ spl140_278
| spl140_327 ),
inference(forward_demodulation,[],[f3008,f2540]) ).
fof(f4721,plain,
( ~ spl140_156
| ~ spl140_105 ),
inference(avatar_split_clause,[],[f4720,f1704,f1932]) ).
fof(f4720,plain,
( e2 != op(e4,e1)
| ~ spl140_105 ),
inference(forward_demodulation,[],[f777,f1706]) ).
fof(f777,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f4689,plain,
( ~ spl140_48
| spl140_50
| ~ spl140_208
| ~ spl140_297 ),
inference(avatar_contradiction_clause,[],[f4688]) ).
fof(f4688,plain,
( $false
| ~ spl140_48
| spl140_50
| ~ spl140_208
| ~ spl140_297 ),
inference(subsumption_resolution,[],[f4687,f1470]) ).
fof(f4687,plain,
( e1 = unit
| ~ spl140_48
| ~ spl140_208
| ~ spl140_297 ),
inference(forward_demodulation,[],[f4686,f2159]) ).
fof(f2159,plain,
( e1 = op(e4,e4)
| ~ spl140_208 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f4686,plain,
( op(e4,e4) = unit
| ~ spl140_48
| ~ spl140_297 ),
inference(forward_demodulation,[],[f2692,f1462]) ).
fof(f4683,plain,
( ~ spl140_208
| ~ spl140_265 ),
inference(avatar_contradiction_clause,[],[f4682]) ).
fof(f4682,plain,
( $false
| ~ spl140_208
| ~ spl140_265 ),
inference(subsumption_resolution,[],[f4681,f2463]) ).
fof(f4681,plain,
( e1 != op(e3,e4)
| ~ spl140_208 ),
inference(forward_demodulation,[],[f758,f2159]) ).
fof(f4610,plain,
( spl140_15
| ~ spl140_123
| ~ spl140_302 ),
inference(avatar_contradiction_clause,[],[f4609]) ).
fof(f4609,plain,
( $false
| spl140_15
| ~ spl140_123
| ~ spl140_302 ),
inference(subsumption_resolution,[],[f4608,f1324]) ).
fof(f4608,plain,
( e3 = unit
| ~ spl140_123
| ~ spl140_302 ),
inference(forward_demodulation,[],[f2726,f1788]) ).
fof(f4595,plain,
( ~ spl140_201
| spl140_287
| ~ spl140_325
| ~ spl140_328 ),
inference(avatar_contradiction_clause,[],[f4594]) ).
fof(f4594,plain,
( $false
| ~ spl140_201
| spl140_287
| ~ spl140_325
| ~ spl140_328 ),
inference(subsumption_resolution,[],[f4593,f2616]) ).
fof(f4593,plain,
( e2 = e4
| ~ spl140_201
| ~ spl140_325
| ~ spl140_328 ),
inference(forward_demodulation,[],[f4592,f2124]) ).
fof(f4592,plain,
( e4 = op(e2,unit)
| ~ spl140_325
| ~ spl140_328 ),
inference(forward_demodulation,[],[f3012,f2948]) ).
fof(f4495,plain,
( ~ spl140_48
| ~ spl140_100
| spl140_298 ),
inference(avatar_contradiction_clause,[],[f4494]) ).
fof(f4494,plain,
( $false
| ~ spl140_48
| ~ spl140_100
| spl140_298 ),
inference(subsumption_resolution,[],[f4493,f1682]) ).
fof(f1682,plain,
( e4 = op(unit,e4)
| ~ spl140_100 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1681,plain,
( spl140_100
<=> e4 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_100])]) ).
fof(f4493,plain,
( e4 != op(unit,e4)
| ~ spl140_48
| spl140_298 ),
inference(forward_demodulation,[],[f2696,f1462]) ).
fof(f2696,plain,
( e4 != op(unit,op(e4,unit))
| spl140_298 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f2694,plain,
( spl140_298
<=> e4 = op(unit,op(e4,unit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_298])]) ).
fof(f4489,plain,
( ~ spl140_106
| ~ spl140_107 ),
inference(avatar_split_clause,[],[f4488,f1713,f1709]) ).
fof(f4488,plain,
( op(e1,e3) != unit
| ~ spl140_107 ),
inference(forward_demodulation,[],[f796,f1715]) ).
fof(f4432,plain,
( spl140_15
| ~ spl140_278
| ~ spl140_325 ),
inference(avatar_contradiction_clause,[],[f4431]) ).
fof(f4431,plain,
( $false
| spl140_15
| ~ spl140_278
| ~ spl140_325 ),
inference(subsumption_resolution,[],[f4430,f1324]) ).
fof(f4430,plain,
( e3 = unit
| ~ spl140_278
| ~ spl140_325 ),
inference(forward_demodulation,[],[f2948,f2540]) ).
fof(f4417,plain,
( ~ spl140_124
| spl140_287
| ~ spl140_296
| ~ spl140_329 ),
inference(avatar_contradiction_clause,[],[f4416]) ).
fof(f4416,plain,
( $false
| ~ spl140_124
| spl140_287
| ~ spl140_296
| ~ spl140_329 ),
inference(subsumption_resolution,[],[f4415,f2616]) ).
fof(f4415,plain,
( e2 = e4
| ~ spl140_124
| ~ spl140_296
| ~ spl140_329 ),
inference(forward_demodulation,[],[f4414,f1793]) ).
fof(f4414,plain,
( e2 = op(e3,e1)
| ~ spl140_296
| ~ spl140_329 ),
inference(forward_demodulation,[],[f3033,f2683]) ).
fof(f4404,plain,
( ~ spl140_106
| spl140_239
| ~ spl140_335 ),
inference(avatar_contradiction_clause,[],[f4403]) ).
fof(f4403,plain,
( $false
| ~ spl140_106
| spl140_239
| ~ spl140_335 ),
inference(subsumption_resolution,[],[f4402,f2314]) ).
fof(f4402,plain,
( e1 = e3
| ~ spl140_106
| ~ spl140_335 ),
inference(forward_demodulation,[],[f4401,f888]) ).
fof(f4401,plain,
( e1 = op(e3,unit)
| ~ spl140_106
| ~ spl140_335 ),
inference(forward_demodulation,[],[f3089,f1711]) ).
fof(f4386,plain,
( ~ spl140_106
| ~ spl140_187 ),
inference(avatar_split_clause,[],[f4385,f2060,f1709]) ).
fof(f4385,plain,
( op(e1,e3) != unit
| ~ spl140_187 ),
inference(forward_demodulation,[],[f834,f2062]) ).
fof(f4381,plain,
( ~ spl140_265
| ~ spl140_296 ),
inference(avatar_split_clause,[],[f4380,f2681,f2461]) ).
fof(f4380,plain,
( e1 != op(e3,e4)
| ~ spl140_296 ),
inference(forward_demodulation,[],[f794,f2683]) ).
fof(f4378,plain,
( ~ spl140_89
| ~ spl140_159
| spl140_333 ),
inference(avatar_contradiction_clause,[],[f4377]) ).
fof(f4377,plain,
( $false
| ~ spl140_89
| ~ spl140_159
| spl140_333 ),
inference(subsumption_resolution,[],[f4376,f1948]) ).
fof(f4376,plain,
( e1 != op(e2,e4)
| ~ spl140_89
| spl140_333 ),
inference(forward_demodulation,[],[f3072,f1634]) ).
fof(f3072,plain,
( e1 != op(e2,op(e1,e2))
| spl140_333 ),
inference(avatar_component_clause,[],[f3070]) ).
fof(f4373,plain,
( spl140_253
| ~ spl140_278
| ~ spl140_307
| ~ spl140_327 ),
inference(avatar_contradiction_clause,[],[f4372]) ).
fof(f4372,plain,
( $false
| spl140_253
| ~ spl140_278
| ~ spl140_307
| ~ spl140_327 ),
inference(subsumption_resolution,[],[f4371,f2396]) ).
fof(f4371,plain,
( e1 = e2
| ~ spl140_278
| ~ spl140_307
| ~ spl140_327 ),
inference(forward_demodulation,[],[f4370,f2796]) ).
fof(f4370,plain,
( e2 = op(e4,e3)
| ~ spl140_278
| ~ spl140_327 ),
inference(forward_demodulation,[],[f3009,f2540]) ).
fof(f4360,plain,
( ~ spl140_274
| ~ spl140_306 ),
inference(avatar_contradiction_clause,[],[f4359]) ).
fof(f4359,plain,
( $false
| ~ spl140_274
| ~ spl140_306 ),
inference(subsumption_resolution,[],[f4358,f854]) ).
fof(f4358,plain,
( e2 = e3
| ~ spl140_274
| ~ spl140_306 ),
inference(forward_demodulation,[],[f2507,f2754]) ).
fof(f4357,plain,
( ~ spl140_280
| ~ spl140_47 ),
inference(avatar_split_clause,[],[f4303,f1456,f2552]) ).
fof(f4303,plain,
( op(e3,e4) != unit
| ~ spl140_47 ),
inference(forward_demodulation,[],[f758,f1457]) ).
fof(f4355,plain,
( ~ spl140_156
| ~ spl140_159
| spl140_283 ),
inference(avatar_contradiction_clause,[],[f4354]) ).
fof(f4354,plain,
( $false
| ~ spl140_156
| ~ spl140_159
| spl140_283 ),
inference(subsumption_resolution,[],[f4353,f1934]) ).
fof(f4353,plain,
( e2 != op(e4,e1)
| ~ spl140_159
| spl140_283 ),
inference(forward_demodulation,[],[f2569,f1948]) ).
fof(f4345,plain,
( spl140_145
| ~ spl140_211
| ~ spl140_278 ),
inference(avatar_contradiction_clause,[],[f4344]) ).
fof(f4344,plain,
( $false
| spl140_145
| ~ spl140_211
| ~ spl140_278 ),
inference(subsumption_resolution,[],[f4343,f2540]) ).
fof(f4343,plain,
( e3 != op(e4,e2)
| spl140_145
| ~ spl140_211 ),
inference(forward_demodulation,[],[f1882,f2174]) ).
fof(f4341,plain,
( ~ spl140_205
| ~ spl140_233
| ~ spl140_317 ),
inference(avatar_contradiction_clause,[],[f4340]) ).
fof(f4340,plain,
( $false
| ~ spl140_205
| ~ spl140_233
| ~ spl140_317 ),
inference(subsumption_resolution,[],[f4339,f859]) ).
fof(f4339,plain,
( e1 = e4
| ~ spl140_205
| ~ spl140_233
| ~ spl140_317 ),
inference(forward_demodulation,[],[f4338,f2143]) ).
fof(f4338,plain,
( e1 = op(e2,e3)
| ~ spl140_233
| ~ spl140_317 ),
inference(forward_demodulation,[],[f2880,f2277]) ).
fof(f4320,plain,
( ~ spl140_43
| spl140_50
| ~ spl140_118 ),
inference(avatar_contradiction_clause,[],[f4319]) ).
fof(f4319,plain,
( $false
| ~ spl140_43
| spl140_50
| ~ spl140_118 ),
inference(subsumption_resolution,[],[f4318,f1470]) ).
fof(f4318,plain,
( e1 = unit
| ~ spl140_43
| ~ spl140_118 ),
inference(forward_demodulation,[],[f1764,f1440]) ).
fof(f1764,plain,
( e1 = op(e2,e2)
| ~ spl140_118 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f4317,plain,
( ~ spl140_205
| ~ spl140_278
| spl140_328 ),
inference(avatar_contradiction_clause,[],[f4316]) ).
fof(f4316,plain,
( $false
| ~ spl140_205
| ~ spl140_278
| spl140_328 ),
inference(subsumption_resolution,[],[f4314,f2143]) ).
fof(f4314,plain,
( e4 != op(e2,e3)
| ~ spl140_278
| spl140_328 ),
inference(backward_demodulation,[],[f3013,f2540]) ).
fof(f4305,plain,
( ~ spl140_233
| ~ spl140_296
| spl140_330 ),
inference(avatar_split_clause,[],[f4152,f3035,f2681,f2276]) ).
fof(f4152,plain,
( e3 != op(e2,e1)
| ~ spl140_296
| spl140_330 ),
inference(backward_demodulation,[],[f3037,f2683]) ).
fof(f4286,plain,
( ~ spl140_142
| ~ spl140_306 ),
inference(avatar_split_clause,[],[f4285,f2752,f1866]) ).
fof(f4285,plain,
( e3 != op(e4,e4)
| ~ spl140_306 ),
inference(forward_demodulation,[],[f836,f2754]) ).
fof(f4284,plain,
( ~ spl140_277
| ~ spl140_89
| spl140_109 ),
inference(avatar_split_clause,[],[f4238,f1722,f1632,f2531]) ).
fof(f4238,plain,
( e1 != op(e4,e2)
| ~ spl140_89
| spl140_109 ),
inference(forward_demodulation,[],[f1724,f1634]) ).
fof(f4282,plain,
( spl140_292
| ~ spl140_306
| ~ spl140_307 ),
inference(avatar_contradiction_clause,[],[f4281]) ).
fof(f4281,plain,
( $false
| spl140_292
| ~ spl140_306
| ~ spl140_307 ),
inference(subsumption_resolution,[],[f4280,f2796]) ).
fof(f4280,plain,
( e1 != op(e4,e3)
| spl140_292
| ~ spl140_306 ),
inference(forward_demodulation,[],[f2655,f2754]) ).
fof(f4278,plain,
( ~ spl140_281
| ~ spl140_156
| spl140_288 ),
inference(avatar_split_clause,[],[f3837,f2627,f1932,f2558]) ).
fof(f3837,plain,
( e4 != op(e2,e1)
| ~ spl140_156
| spl140_288 ),
inference(backward_demodulation,[],[f2629,f1934]) ).
fof(f2629,plain,
( e4 != op(op(e4,e1),e1)
| spl140_288 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f4236,plain,
( ~ spl140_48
| ~ spl140_55 ),
inference(avatar_contradiction_clause,[],[f4235]) ).
fof(f4235,plain,
( $false
| ~ spl140_48
| ~ spl140_55 ),
inference(subsumption_resolution,[],[f4090,f1492]) ).
fof(f1492,plain,
( e4 = op(e4,e4)
| ~ spl140_55 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1491,plain,
( spl140_55
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_55])]) ).
fof(f4090,plain,
( e4 != op(e4,e4)
| ~ spl140_48 ),
inference(forward_demodulation,[],[f1176,f1462]) ).
fof(f1176,plain,
op(e4,e4) != op(e4,unit),
inference(definition_unfolding,[],[f805,f899]) ).
fof(f805,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f4231,plain,
( ~ spl140_156
| ~ spl140_272 ),
inference(avatar_contradiction_clause,[],[f4230]) ).
fof(f4230,plain,
( $false
| ~ spl140_156
| ~ spl140_272 ),
inference(subsumption_resolution,[],[f4229,f854]) ).
fof(f4229,plain,
( e2 = e3
| ~ spl140_156
| ~ spl140_272 ),
inference(forward_demodulation,[],[f2498,f1934]) ).
fof(f4225,plain,
( ~ spl140_43
| ~ spl140_325 ),
inference(avatar_contradiction_clause,[],[f4224]) ).
fof(f4224,plain,
( $false
| ~ spl140_43
| ~ spl140_325 ),
inference(subsumption_resolution,[],[f4223,f1440]) ).
fof(f4223,plain,
( op(e2,e2) != unit
| ~ spl140_325 ),
inference(forward_demodulation,[],[f791,f2948]) ).
fof(f4195,plain,
( ~ spl140_84
| ~ spl140_296
| spl140_335 ),
inference(avatar_contradiction_clause,[],[f4194]) ).
fof(f4194,plain,
( $false
| ~ spl140_84
| ~ spl140_296
| spl140_335 ),
inference(subsumption_resolution,[],[f4045,f2683]) ).
fof(f4045,plain,
( e1 != op(e3,e2)
| ~ spl140_84
| spl140_335 ),
inference(backward_demodulation,[],[f3090,f1610]) ).
fof(f3090,plain,
( e1 != op(e3,op(e1,e3))
| spl140_335 ),
inference(avatar_component_clause,[],[f3088]) ).
fof(f4163,plain,
( ~ spl140_89
| ~ spl140_156
| spl140_337 ),
inference(avatar_split_clause,[],[f4073,f3113,f1932,f1632]) ).
fof(f4073,plain,
( e4 != op(e1,e2)
| ~ spl140_156
| spl140_337 ),
inference(forward_demodulation,[],[f3115,f1934]) ).
fof(f4157,plain,
( ~ spl140_306
| ~ spl140_124
| spl140_322 ),
inference(avatar_split_clause,[],[f4156,f2904,f1791,f2752]) ).
fof(f4156,plain,
( e3 != op(e1,e4)
| ~ spl140_124
| spl140_322 ),
inference(forward_demodulation,[],[f2906,f1793]) ).
fof(f4150,plain,
( ~ spl140_43
| ~ spl140_231 ),
inference(avatar_contradiction_clause,[],[f4149]) ).
fof(f4149,plain,
( $false
| ~ spl140_43
| ~ spl140_231 ),
inference(subsumption_resolution,[],[f3890,f2268]) ).
fof(f3890,plain,
( op(e2,e1) != unit
| ~ spl140_43 ),
inference(forward_demodulation,[],[f754,f1440]) ).
fof(f4147,plain,
( spl140_15
| ~ spl140_43
| ~ spl140_117 ),
inference(avatar_contradiction_clause,[],[f4146]) ).
fof(f4146,plain,
( $false
| spl140_15
| ~ spl140_43
| ~ spl140_117 ),
inference(subsumption_resolution,[],[f4145,f1324]) ).
fof(f4145,plain,
( e3 = unit
| ~ spl140_43
| ~ spl140_117 ),
inference(forward_demodulation,[],[f1760,f1440]) ).
fof(f4118,plain,
( ~ spl140_14
| ~ spl140_124 ),
inference(avatar_split_clause,[],[f4116,f1791,f1318]) ).
fof(f4116,plain,
( e4 != op(e3,e3)
| ~ spl140_124 ),
inference(backward_demodulation,[],[f800,f1793]) ).
fof(f4117,plain,
( ~ spl140_281
| ~ spl140_124 ),
inference(avatar_split_clause,[],[f4115,f1791,f2558]) ).
fof(f4115,plain,
( e4 != op(e2,e1)
| ~ spl140_124 ),
inference(backward_demodulation,[],[f798,f1793]) ).
fof(f798,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f4114,plain,
( ~ spl140_11
| ~ spl140_84 ),
inference(avatar_split_clause,[],[f4113,f1609,f1305]) ).
fof(f4113,plain,
( e2 != op(e3,e3)
| ~ spl140_84 ),
inference(forward_demodulation,[],[f796,f1610]) ).
fof(f4108,plain,
( ~ spl140_87
| ~ spl140_43 ),
inference(avatar_split_clause,[],[f4107,f1439,f1623]) ).
fof(f4107,plain,
( op(e3,e2) != unit
| ~ spl140_43 ),
inference(forward_demodulation,[],[f837,f1440]) ).
fof(f4089,plain,
( ~ spl140_2
| spl140_60 ),
inference(avatar_contradiction_clause,[],[f4088]) ).
fof(f4088,plain,
( $false
| ~ spl140_2
| spl140_60 ),
inference(subsumption_resolution,[],[f4087,f1513]) ).
fof(f4087,plain,
( e4 = unit
| ~ spl140_2 ),
inference(forward_demodulation,[],[f1268,f1234]) ).
fof(f1234,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f892,f899,f899]) ).
fof(f892,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f1268,plain,
( e4 = op(unit,unit)
| ~ spl140_2 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1266,plain,
( spl140_2
<=> e4 = op(unit,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_2])]) ).
fof(f4082,plain,
( spl140_15
| ~ spl140_293
| ~ spl140_306 ),
inference(avatar_contradiction_clause,[],[f4081]) ).
fof(f4081,plain,
( $false
| spl140_15
| ~ spl140_293
| ~ spl140_306 ),
inference(subsumption_resolution,[],[f4080,f1324]) ).
fof(f4080,plain,
( e3 = unit
| ~ spl140_293
| ~ spl140_306 ),
inference(forward_demodulation,[],[f2754,f2662]) ).
fof(f4072,plain,
( ~ spl140_47
| ~ spl140_97 ),
inference(avatar_split_clause,[],[f4071,f1667,f1456]) ).
fof(f4071,plain,
( op(e4,e4) != unit
| ~ spl140_97 ),
inference(forward_demodulation,[],[f760,f1669]) ).
fof(f4069,plain,
( ~ spl140_47
| ~ spl140_293 ),
inference(avatar_split_clause,[],[f4068,f2660,f1456]) ).
fof(f4068,plain,
( op(e4,e4) != unit
| ~ spl140_293 ),
inference(forward_demodulation,[],[f836,f2662]) ).
fof(f4067,plain,
( spl140_239
| ~ spl140_277
| ~ spl140_278 ),
inference(avatar_contradiction_clause,[],[f4066]) ).
fof(f4066,plain,
( $false
| spl140_239
| ~ spl140_277
| ~ spl140_278 ),
inference(subsumption_resolution,[],[f4065,f2314]) ).
fof(f4065,plain,
( e1 = e3
| ~ spl140_277
| ~ spl140_278 ),
inference(forward_demodulation,[],[f2540,f2532]) ).
fof(f4058,plain,
( ~ spl140_208
| ~ spl140_159 ),
inference(avatar_split_clause,[],[f4057,f1946,f2158]) ).
fof(f4057,plain,
( e1 != op(e4,e4)
| ~ spl140_159 ),
inference(forward_demodulation,[],[f788,f1948]) ).
fof(f4056,plain,
( ~ spl140_89
| ~ spl140_277
| spl140_320 ),
inference(avatar_split_clause,[],[f3637,f2891,f2531,f1632]) ).
fof(f3637,plain,
( e4 != op(e1,e2)
| ~ spl140_277
| spl140_320 ),
inference(backward_demodulation,[],[f2893,f2532]) ).
fof(f2893,plain,
( e4 != op(op(e4,e2),e2)
| spl140_320 ),
inference(avatar_component_clause,[],[f2891]) ).
fof(f4054,plain,
( ~ spl140_84
| ~ spl140_233
| spl140_318 ),
inference(avatar_contradiction_clause,[],[f4053]) ).
fof(f4053,plain,
( $false
| ~ spl140_84
| ~ spl140_233
| spl140_318 ),
inference(subsumption_resolution,[],[f4052,f1610]) ).
fof(f4052,plain,
( e2 != op(e1,e3)
| ~ spl140_233
| spl140_318 ),
inference(forward_demodulation,[],[f2884,f2277]) ).
fof(f4041,plain,
~ spl140_19,
inference(avatar_contradiction_clause,[],[f4040]) ).
fof(f4040,plain,
( $false
| ~ spl140_19 ),
inference(subsumption_resolution,[],[f4039,f854]) ).
fof(f4039,plain,
( e2 = e3
| ~ spl140_19 ),
inference(forward_demodulation,[],[f1342,f895]) ).
fof(f1342,plain,
( e3 = op(unit,e2)
| ~ spl140_19 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1340,plain,
( spl140_19
<=> e3 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_19])]) ).
fof(f4028,plain,
( ~ spl140_88
| ~ spl140_205
| ~ spl140_333 ),
inference(avatar_contradiction_clause,[],[f4027]) ).
fof(f4027,plain,
( $false
| ~ spl140_88
| ~ spl140_205
| ~ spl140_333 ),
inference(subsumption_resolution,[],[f4026,f859]) ).
fof(f4026,plain,
( e1 = e4
| ~ spl140_88
| ~ spl140_205
| ~ spl140_333 ),
inference(forward_demodulation,[],[f3932,f2143]) ).
fof(f3932,plain,
( e1 = op(e2,e3)
| ~ spl140_88
| ~ spl140_333 ),
inference(forward_demodulation,[],[f3071,f1630]) ).
fof(f4000,plain,
( ~ spl140_106
| ~ spl140_293 ),
inference(avatar_split_clause,[],[f3995,f2660,f1709]) ).
fof(f3995,plain,
( op(e1,e3) != unit
| ~ spl140_293 ),
inference(backward_demodulation,[],[f818,f2662]) ).
fof(f3988,plain,
( ~ spl140_108
| ~ spl140_97 ),
inference(avatar_split_clause,[],[f3869,f1667,f1717]) ).
fof(f3869,plain,
( op(e2,e3) != unit
| ~ spl140_97 ),
inference(forward_demodulation,[],[f817,f1669]) ).
fof(f3987,plain,
( ~ spl140_306
| ~ spl140_88 ),
inference(avatar_split_clause,[],[f3986,f1628,f2752]) ).
fof(f3986,plain,
( e3 != op(e1,e4)
| ~ spl140_88 ),
inference(forward_demodulation,[],[f770,f1630]) ).
fof(f3978,plain,
( ~ spl140_17
| ~ spl140_263 ),
inference(avatar_split_clause,[],[f3602,f2450,f1331]) ).
fof(f1331,plain,
( spl140_17
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_17])]) ).
fof(f3602,plain,
( e1 != op(e1,e3)
| ~ spl140_263 ),
inference(forward_demodulation,[],[f1158,f2451]) ).
fof(f1158,plain,
op(e1,e3) != op(e1,unit),
inference(definition_unfolding,[],[f841,f899]) ).
fof(f841,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3973,plain,
( ~ spl140_48
| ~ spl140_245
| spl140_287 ),
inference(avatar_contradiction_clause,[],[f3972]) ).
fof(f3972,plain,
( $false
| ~ spl140_48
| ~ spl140_245
| spl140_287 ),
inference(subsumption_resolution,[],[f3971,f2616]) ).
fof(f3971,plain,
( e2 = e4
| ~ spl140_48
| ~ spl140_245 ),
inference(forward_demodulation,[],[f2346,f1462]) ).
fof(f2346,plain,
( e2 = op(e4,unit)
| ~ spl140_245 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f2344,plain,
( spl140_245
<=> e2 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_245])]) ).
fof(f3970,plain,
( ~ spl140_203
| ~ spl140_201 ),
inference(avatar_split_clause,[],[f3616,f2122,f2133]) ).
fof(f2133,plain,
( spl140_203
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_203])]) ).
fof(f3616,plain,
( e2 != op(e2,e3)
| ~ spl140_201 ),
inference(forward_demodulation,[],[f1180,f2124]) ).
fof(f1180,plain,
op(e2,e3) != op(e2,unit),
inference(definition_unfolding,[],[f801,f899]) ).
fof(f801,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3964,plain,
( ~ spl140_100
| ~ spl140_210 ),
inference(avatar_contradiction_clause,[],[f3963]) ).
fof(f3963,plain,
( $false
| ~ spl140_100
| ~ spl140_210 ),
inference(subsumption_resolution,[],[f3866,f2171]) ).
fof(f2171,plain,
( e4 = op(e2,e4)
| ~ spl140_210 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f2169,plain,
( spl140_210
<=> e4 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_210])]) ).
fof(f3866,plain,
( e4 != op(e2,e4)
| ~ spl140_100 ),
inference(forward_demodulation,[],[f1159,f1682]) ).
fof(f1159,plain,
op(e2,e4) != op(unit,e4),
inference(definition_unfolding,[],[f840,f899]) ).
fof(f840,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3952,plain,
( ~ spl140_20
| ~ spl140_88 ),
inference(avatar_contradiction_clause,[],[f3951]) ).
fof(f3951,plain,
( $false
| ~ spl140_20
| ~ spl140_88 ),
inference(subsumption_resolution,[],[f3950,f1346]) ).
fof(f1346,plain,
( e3 = op(e1,e1)
| ~ spl140_20 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f3950,plain,
( e3 != op(e1,e1)
| ~ spl140_88 ),
inference(forward_demodulation,[],[f819,f1630]) ).
fof(f3949,plain,
( ~ spl140_154
| ~ spl140_265
| spl140_335 ),
inference(avatar_contradiction_clause,[],[f3948]) ).
fof(f3948,plain,
( $false
| ~ spl140_154
| ~ spl140_265
| spl140_335 ),
inference(subsumption_resolution,[],[f3947,f2463]) ).
fof(f3947,plain,
( e1 != op(e3,e4)
| ~ spl140_154
| spl140_335 ),
inference(forward_demodulation,[],[f3090,f1924]) ).
fof(f3942,plain,
( ~ spl140_20
| ~ spl140_233 ),
inference(avatar_split_clause,[],[f3643,f2276,f1345]) ).
fof(f3643,plain,
( e3 != op(e1,e1)
| ~ spl140_233 ),
inference(forward_demodulation,[],[f807,f2277]) ).
fof(f3940,plain,
( ~ spl140_148
| ~ spl140_202 ),
inference(avatar_contradiction_clause,[],[f3939]) ).
fof(f3939,plain,
( $false
| ~ spl140_148
| ~ spl140_202 ),
inference(subsumption_resolution,[],[f3938,f859]) ).
fof(f3938,plain,
( e1 = e4
| ~ spl140_148
| ~ spl140_202 ),
inference(forward_demodulation,[],[f1896,f2129]) ).
fof(f1896,plain,
( e4 = op(unit,e1)
| ~ spl140_148 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1894,plain,
( spl140_148
<=> e4 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_148])]) ).
fof(f3937,plain,
( ~ spl140_159
| ~ spl140_265 ),
inference(avatar_split_clause,[],[f3810,f2461,f1946]) ).
fof(f3810,plain,
( e1 != op(e2,e4)
| ~ spl140_265 ),
inference(forward_demodulation,[],[f820,f2463]) ).
fof(f820,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3929,plain,
( ~ spl140_274
| ~ spl140_293 ),
inference(avatar_contradiction_clause,[],[f3928]) ).
fof(f3928,plain,
( $false
| ~ spl140_274
| ~ spl140_293 ),
inference(subsumption_resolution,[],[f3927,f1205]) ).
fof(f3927,plain,
( e2 = unit
| ~ spl140_274
| ~ spl140_293 ),
inference(forward_demodulation,[],[f2662,f2507]) ).
fof(f3926,plain,
( ~ spl140_123
| ~ spl140_43 ),
inference(avatar_split_clause,[],[f3925,f1439,f1786]) ).
fof(f3925,plain,
( op(e2,e4) != unit
| ~ spl140_43 ),
inference(forward_demodulation,[],[f814,f1440]) ).
fof(f3916,plain,
( ~ spl140_198
| ~ spl140_201 ),
inference(avatar_split_clause,[],[f3863,f2122,f2106]) ).
fof(f2106,plain,
( spl140_198
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_198])]) ).
fof(f3863,plain,
( e2 != op(e2,e4)
| ~ spl140_201 ),
inference(forward_demodulation,[],[f1202,f2124]) ).
fof(f1202,plain,
op(e2,e4) != op(e2,unit),
inference(definition_unfolding,[],[f756,f899]) ).
fof(f756,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3901,plain,
( ~ spl140_88
| ~ spl140_204
| spl140_333 ),
inference(avatar_contradiction_clause,[],[f3900]) ).
fof(f3900,plain,
( $false
| ~ spl140_88
| ~ spl140_204
| spl140_333 ),
inference(subsumption_resolution,[],[f3735,f2139]) ).
fof(f3735,plain,
( e1 != op(e2,e3)
| ~ spl140_88
| spl140_333 ),
inference(backward_demodulation,[],[f3072,f1630]) ).
fof(f3855,plain,
( spl140_15
| ~ spl140_88
| ~ spl140_91 ),
inference(avatar_contradiction_clause,[],[f3854]) ).
fof(f3854,plain,
( $false
| spl140_15
| ~ spl140_88
| ~ spl140_91 ),
inference(subsumption_resolution,[],[f3853,f1324]) ).
fof(f3853,plain,
( e3 = unit
| ~ spl140_88
| ~ spl140_91 ),
inference(forward_demodulation,[],[f1642,f1630]) ).
fof(f3831,plain,
( spl140_50
| ~ spl140_265
| ~ spl140_280 ),
inference(avatar_contradiction_clause,[],[f3830]) ).
fof(f3830,plain,
( $false
| spl140_50
| ~ spl140_265
| ~ spl140_280 ),
inference(subsumption_resolution,[],[f3829,f1470]) ).
fof(f3829,plain,
( e1 = unit
| ~ spl140_265
| ~ spl140_280 ),
inference(forward_demodulation,[],[f2554,f2463]) ).
fof(f3789,plain,
( ~ spl140_116
| ~ spl140_97 ),
inference(avatar_split_clause,[],[f3786,f1667,f1753]) ).
fof(f3786,plain,
( op(e4,e1) != unit
| ~ spl140_97 ),
inference(backward_demodulation,[],[f777,f1669]) ).
fof(f3762,plain,
( ~ spl140_177
| ~ spl140_209 ),
inference(avatar_contradiction_clause,[],[f3761]) ).
fof(f3761,plain,
( $false
| ~ spl140_177
| ~ spl140_209 ),
inference(subsumption_resolution,[],[f3760,f1205]) ).
fof(f3760,plain,
( e2 = unit
| ~ spl140_177
| ~ spl140_209 ),
inference(forward_demodulation,[],[f2019,f2165]) ).
fof(f3711,plain,
( ~ spl140_209
| ~ spl140_233
| spl140_304 ),
inference(avatar_contradiction_clause,[],[f3710]) ).
fof(f3710,plain,
( $false
| ~ spl140_209
| ~ spl140_233
| spl140_304 ),
inference(subsumption_resolution,[],[f3628,f2165]) ).
fof(f3628,plain,
( e2 != op(e3,e1)
| ~ spl140_233
| spl140_304 ),
inference(backward_demodulation,[],[f2741,f2277]) ).
fof(f2741,plain,
( e2 != op(op(e2,e1),e1)
| spl140_304 ),
inference(avatar_component_clause,[],[f2739]) ).
fof(f2739,plain,
( spl140_304
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_304])]) ).
fof(f3674,plain,
( ~ spl140_118
| ~ spl140_277 ),
inference(avatar_contradiction_clause,[],[f3673]) ).
fof(f3673,plain,
( $false
| ~ spl140_118
| ~ spl140_277 ),
inference(subsumption_resolution,[],[f3672,f1764]) ).
fof(f3672,plain,
( e1 != op(e2,e2)
| ~ spl140_277 ),
inference(forward_demodulation,[],[f791,f2532]) ).
fof(f3669,plain,
( spl140_60
| ~ spl140_87
| ~ spl140_257 ),
inference(avatar_contradiction_clause,[],[f3668]) ).
fof(f3668,plain,
( $false
| spl140_60
| ~ spl140_87
| ~ spl140_257 ),
inference(subsumption_resolution,[],[f3667,f1513]) ).
fof(f3667,plain,
( e4 = unit
| ~ spl140_87
| ~ spl140_257 ),
inference(forward_demodulation,[],[f2419,f1625]) ).
fof(f3659,plain,
( ~ spl140_204
| ~ spl140_205 ),
inference(avatar_contradiction_clause,[],[f3658]) ).
fof(f3658,plain,
( $false
| ~ spl140_204
| ~ spl140_205 ),
inference(subsumption_resolution,[],[f3657,f859]) ).
fof(f3657,plain,
( e1 = e4
| ~ spl140_204
| ~ spl140_205 ),
inference(forward_demodulation,[],[f2139,f2143]) ).
fof(f3656,plain,
( ~ spl140_92
| ~ spl140_263 ),
inference(avatar_split_clause,[],[f3494,f2450,f1644]) ).
fof(f1644,plain,
( spl140_92
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_92])]) ).
fof(f3494,plain,
( e1 != op(e1,e2)
| ~ spl140_263 ),
inference(forward_demodulation,[],[f1192,f2451]) ).
fof(f1192,plain,
op(e1,e2) != op(e1,unit),
inference(definition_unfolding,[],[f774,f899]) ).
fof(f774,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f3650,plain,
( ~ spl140_232
| ~ spl140_100 ),
inference(avatar_split_clause,[],[f3645,f1681,f2271]) ).
fof(f2271,plain,
( spl140_232
<=> e4 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_232])]) ).
fof(f3645,plain,
( e4 != op(e3,e4)
| ~ spl140_100 ),
inference(forward_demodulation,[],[f1184,f1682]) ).
fof(f1184,plain,
op(e3,e4) != op(unit,e4),
inference(definition_unfolding,[],[f785,f899]) ).
fof(f785,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3587,plain,
( spl140_60
| ~ spl140_89
| ~ spl140_91 ),
inference(avatar_contradiction_clause,[],[f3586]) ).
fof(f3586,plain,
( $false
| spl140_60
| ~ spl140_89
| ~ spl140_91 ),
inference(subsumption_resolution,[],[f3585,f1513]) ).
fof(f3585,plain,
( e4 = unit
| ~ spl140_89
| ~ spl140_91 ),
inference(forward_demodulation,[],[f1642,f1634]) ).
fof(f3567,plain,
( ~ spl140_38
| ~ spl140_89 ),
inference(avatar_split_clause,[],[f3566,f1632,f1419]) ).
fof(f3566,plain,
( e4 != op(e2,e2)
| ~ spl140_89 ),
inference(forward_demodulation,[],[f755,f1634]) ).
fof(f3546,plain,
( ~ spl140_38
| ~ spl140_205 ),
inference(avatar_split_clause,[],[f3545,f2141,f1419]) ).
fof(f3545,plain,
( e4 != op(e2,e2)
| ~ spl140_205 ),
inference(forward_demodulation,[],[f769,f2143]) ).
fof(f3523,plain,
( ~ spl140_124
| ~ spl140_209
| spl140_287 ),
inference(avatar_contradiction_clause,[],[f3522]) ).
fof(f3522,plain,
( $false
| ~ spl140_124
| ~ spl140_209
| spl140_287 ),
inference(subsumption_resolution,[],[f3521,f2616]) ).
fof(f3521,plain,
( e2 = e4
| ~ spl140_124
| ~ spl140_209 ),
inference(forward_demodulation,[],[f2165,f1793]) ).
fof(f3498,plain,
( ~ spl140_88
| ~ spl140_89 ),
inference(avatar_contradiction_clause,[],[f3497]) ).
fof(f3497,plain,
( $false
| ~ spl140_88
| ~ spl140_89 ),
inference(subsumption_resolution,[],[f3496,f861]) ).
fof(f3496,plain,
( e3 = e4
| ~ spl140_88
| ~ spl140_89 ),
inference(forward_demodulation,[],[f1630,f1634]) ).
fof(f3493,plain,
( ~ spl140_91
| ~ spl140_87 ),
inference(avatar_split_clause,[],[f3492,f1623,f1640]) ).
fof(f3492,plain,
( op(e1,e2) != unit
| ~ spl140_87 ),
inference(forward_demodulation,[],[f793,f1625]) ).
fof(f793,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f3488,plain,
( ~ spl140_116
| ~ spl140_156 ),
inference(avatar_contradiction_clause,[],[f3487]) ).
fof(f3487,plain,
( $false
| ~ spl140_116
| ~ spl140_156 ),
inference(subsumption_resolution,[],[f3486,f1205]) ).
fof(f3486,plain,
( e2 = unit
| ~ spl140_116
| ~ spl140_156 ),
inference(forward_demodulation,[],[f1754,f1934]) ).
fof(f3463,plain,
( ~ spl140_85
| ~ spl140_149 ),
inference(avatar_contradiction_clause,[],[f3462]) ).
fof(f3462,plain,
( $false
| ~ spl140_85
| ~ spl140_149 ),
inference(subsumption_resolution,[],[f3461,f861]) ).
fof(f3461,plain,
( e3 = e4
| ~ spl140_85
| ~ spl140_149 ),
inference(forward_demodulation,[],[f1900,f1615]) ).
fof(f1615,plain,
( e3 = op(unit,e3)
| ~ spl140_85 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1614,plain,
( spl140_85
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_85])]) ).
fof(f1900,plain,
( e4 = op(unit,e3)
| ~ spl140_149 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1898,plain,
( spl140_149
<=> e4 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_149])]) ).
fof(f3459,plain,
( ~ spl140_155
| ~ spl140_100 ),
inference(avatar_split_clause,[],[f3458,f1681,f1926]) ).
fof(f1926,plain,
( spl140_155
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_155])]) ).
fof(f3458,plain,
( e4 != op(e1,e4)
| ~ spl140_100 ),
inference(backward_demodulation,[],[f1167,f1682]) ).
fof(f1167,plain,
op(e1,e4) != op(unit,e4),
inference(definition_unfolding,[],[f822,f899]) ).
fof(f822,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3448,plain,
( spl140_15
| ~ spl140_47
| ~ spl140_142 ),
inference(avatar_contradiction_clause,[],[f3447]) ).
fof(f3447,plain,
( $false
| spl140_15
| ~ spl140_47
| ~ spl140_142 ),
inference(subsumption_resolution,[],[f3446,f1324]) ).
fof(f3446,plain,
( e3 = unit
| ~ spl140_47
| ~ spl140_142 ),
inference(forward_demodulation,[],[f1457,f1867]) ).
fof(f3432,plain,
( ~ spl140_264
| ~ spl140_263 ),
inference(avatar_split_clause,[],[f3425,f2450,f2457]) ).
fof(f2457,plain,
( spl140_264
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_264])]) ).
fof(f3425,plain,
( e1 != op(e1,e4)
| ~ spl140_263 ),
inference(backward_demodulation,[],[f1181,f2451]) ).
fof(f1181,plain,
op(e1,e4) != op(e1,unit),
inference(definition_unfolding,[],[f792,f899]) ).
fof(f792,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3429,plain,
( ~ spl140_51
| ~ spl140_263 ),
inference(avatar_split_clause,[],[f3424,f2450,f1473]) ).
fof(f1473,plain,
( spl140_51
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_51])]) ).
fof(f3424,plain,
( e1 != op(e1,e1)
| ~ spl140_263 ),
inference(backward_demodulation,[],[f1164,f2451]) ).
fof(f1164,plain,
op(e1,e1) != op(e1,unit),
inference(definition_unfolding,[],[f828,f899]) ).
fof(f828,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f3419,plain,
( spl140_253
| ~ spl140_99
| ~ spl140_201 ),
inference(avatar_split_clause,[],[f3418,f2122,f1676,f2395]) ).
fof(f1676,plain,
( spl140_99
<=> e1 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_99])]) ).
fof(f3418,plain,
( e1 = e2
| ~ spl140_99
| ~ spl140_201 ),
inference(forward_demodulation,[],[f1678,f2124]) ).
fof(f1678,plain,
( e1 = op(e2,unit)
| ~ spl140_99 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f3399,plain,
( ~ spl140_286
| ~ spl140_201 ),
inference(avatar_split_clause,[],[f3395,f2122,f2599]) ).
fof(f2599,plain,
( spl140_286
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_286])]) ).
fof(f3395,plain,
( e2 != op(e2,e1)
| ~ spl140_201 ),
inference(backward_demodulation,[],[f1186,f2124]) ).
fof(f1186,plain,
op(e2,e1) != op(e2,unit),
inference(definition_unfolding,[],[f783,f899]) ).
fof(f783,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f3398,plain,
( ~ spl140_273
| ~ spl140_201 ),
inference(avatar_split_clause,[],[f3396,f2122,f2501]) ).
fof(f2501,plain,
( spl140_273
<=> e2 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_273])]) ).
fof(f3396,plain,
( e2 != op(e1,unit)
| ~ spl140_201 ),
inference(backward_demodulation,[],[f1173,f2124]) ).
fof(f1173,plain,
op(e1,unit) != op(e2,unit),
inference(definition_unfolding,[],[f811,f899,f899]) ).
fof(f811,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f3377,plain,
( ~ spl140_153
| ~ spl140_48 ),
inference(avatar_split_clause,[],[f3369,f1460,f1918]) ).
fof(f1918,plain,
( spl140_153
<=> e4 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_153])]) ).
fof(f3369,plain,
( e4 != op(e1,unit)
| ~ spl140_48 ),
inference(backward_demodulation,[],[f1154,f1462]) ).
fof(f1154,plain,
op(e1,unit) != op(e4,unit),
inference(definition_unfolding,[],[f847,f899,f899]) ).
fof(f847,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f3374,plain,
( ~ spl140_226
| ~ spl140_48 ),
inference(avatar_split_clause,[],[f3368,f1460,f2234]) ).
fof(f2234,plain,
( spl140_226
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_226])]) ).
fof(f3368,plain,
( e4 != op(e4,e3)
| ~ spl140_48 ),
inference(backward_demodulation,[],[f1201,f1462]) ).
fof(f1201,plain,
op(e4,e3) != op(e4,unit),
inference(definition_unfolding,[],[f759,f899]) ).
fof(f759,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3373,plain,
( ~ spl140_114
| ~ spl140_48 ),
inference(avatar_split_clause,[],[f3371,f1460,f1744]) ).
fof(f1744,plain,
( spl140_114
<=> e4 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_114])]) ).
fof(f3371,plain,
( e4 != op(e2,unit)
| ~ spl140_48 ),
inference(backward_demodulation,[],[f1155,f1462]) ).
fof(f1155,plain,
op(e2,unit) != op(e4,unit),
inference(definition_unfolding,[],[f846,f899,f899]) ).
fof(f846,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f3372,plain,
( ~ spl140_271
| ~ spl140_48 ),
inference(avatar_split_clause,[],[f3370,f1460,f2491]) ).
fof(f2491,plain,
( spl140_271
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_271])]) ).
fof(f3370,plain,
( e4 != op(e4,e1)
| ~ spl140_48 ),
inference(backward_demodulation,[],[f1194,f1462]) ).
fof(f1194,plain,
op(e4,e1) != op(e4,unit),
inference(definition_unfolding,[],[f772,f899]) ).
fof(f772,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f3330,plain,
( spl140_239
| ~ spl140_142
| ~ spl140_208 ),
inference(avatar_split_clause,[],[f3329,f2158,f1866,f2313]) ).
fof(f3329,plain,
( e1 = e3
| ~ spl140_142
| ~ spl140_208 ),
inference(forward_demodulation,[],[f2159,f1867]) ).
fof(f3328,plain,
( ~ spl140_265
| ~ spl140_21 ),
inference(avatar_split_clause,[],[f3322,f1349,f2461]) ).
fof(f3322,plain,
( e1 != op(e3,e4)
| ~ spl140_21 ),
inference(backward_demodulation,[],[f848,f1350]) ).
fof(f3327,plain,
( ~ spl140_204
| ~ spl140_21 ),
inference(avatar_split_clause,[],[f3323,f1349,f2137]) ).
fof(f3323,plain,
( e1 != op(e2,e3)
| ~ spl140_21 ),
inference(backward_demodulation,[],[f849,f1350]) ).
fof(f3324,plain,
( ~ spl140_296
| ~ spl140_21 ),
inference(avatar_split_clause,[],[f3321,f1349,f2681]) ).
fof(f3321,plain,
( e1 != op(e3,e2)
| ~ spl140_21 ),
inference(backward_demodulation,[],[f832,f1350]) ).
fof(f3285,plain,
( ~ spl140_48
| ~ spl140_3 ),
inference(avatar_split_clause,[],[f3284,f1271,f1460]) ).
fof(f1271,plain,
( spl140_3
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_3])]) ).
fof(f3284,plain,
( e4 != op(e4,unit)
| ~ spl140_3 ),
inference(backward_demodulation,[],[f1156,f1273]) ).
fof(f1273,plain,
( e4 = op(e4,e2)
| ~ spl140_3 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1156,plain,
op(e4,e2) != op(e4,unit),
inference(definition_unfolding,[],[f843,f899]) ).
fof(f843,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f3264,plain,
( spl140_239
| ~ spl140_64
| ~ spl140_202 ),
inference(avatar_split_clause,[],[f3263,f2128,f1529,f2313]) ).
fof(f1529,plain,
( spl140_64
<=> e3 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_64])]) ).
fof(f3263,plain,
( e1 = e3
| ~ spl140_64
| ~ spl140_202 ),
inference(forward_demodulation,[],[f1531,f2129]) ).
fof(f1531,plain,
( e3 = op(unit,e1)
| ~ spl140_64 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f3262,plain,
( ~ spl140_235
| ~ spl140_85 ),
inference(avatar_split_clause,[],[f3257,f1614,f2289]) ).
fof(f2289,plain,
( spl140_235
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_235])]) ).
fof(f3257,plain,
( e3 != op(e1,e3)
| ~ spl140_85 ),
inference(backward_demodulation,[],[f1182,f1615]) ).
fof(f1182,plain,
op(e1,e3) != op(unit,e3),
inference(definition_unfolding,[],[f787,f899]) ).
fof(f787,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3261,plain,
( ~ spl140_61
| ~ spl140_85 ),
inference(avatar_split_clause,[],[f3255,f1614,f1516]) ).
fof(f1516,plain,
( spl140_61
<=> e3 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_61])]) ).
fof(f3255,plain,
( e3 != op(unit,e4)
| ~ spl140_85 ),
inference(backward_demodulation,[],[f1191,f1615]) ).
fof(f1191,plain,
op(unit,e3) != op(unit,e4),
inference(definition_unfolding,[],[f775,f899,f899]) ).
fof(f775,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3259,plain,
( ~ spl140_178
| ~ spl140_85 ),
inference(avatar_split_clause,[],[f3253,f1614,f2023]) ).
fof(f2023,plain,
( spl140_178
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_178])]) ).
fof(f3253,plain,
( e3 != op(e4,e3)
| ~ spl140_85 ),
inference(backward_demodulation,[],[f1161,f1615]) ).
fof(f1161,plain,
op(e4,e3) != op(unit,e3),
inference(definition_unfolding,[],[f835,f899]) ).
fof(f835,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3258,plain,
( ~ spl140_83
| ~ spl140_85 ),
inference(avatar_split_clause,[],[f3256,f1614,f1605]) ).
fof(f1605,plain,
( spl140_83
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_83])]) ).
fof(f3256,plain,
( e3 != op(e2,e3)
| ~ spl140_85 ),
inference(backward_demodulation,[],[f1174,f1615]) ).
fof(f1174,plain,
op(e2,e3) != op(unit,e3),
inference(definition_unfolding,[],[f809,f899]) ).
fof(f809,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3236,plain,
( ~ spl140_299
| ~ spl140_202 ),
inference(avatar_split_clause,[],[f3230,f2128,f2702]) ).
fof(f2702,plain,
( spl140_299
<=> e1 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_299])]) ).
fof(f3230,plain,
( e1 != op(e4,e1)
| ~ spl140_202 ),
inference(backward_demodulation,[],[f1179,f2129]) ).
fof(f1179,plain,
op(e4,e1) != op(unit,e1),
inference(definition_unfolding,[],[f802,f899]) ).
fof(f802,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f3235,plain,
( ~ spl140_246
| ~ spl140_202 ),
inference(avatar_split_clause,[],[f3225,f2128,f2350]) ).
fof(f2350,plain,
( spl140_246
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_246])]) ).
fof(f3225,plain,
( e1 != op(e3,e1)
| ~ spl140_202 ),
inference(backward_demodulation,[],[f1188,f2129]) ).
fof(f1188,plain,
op(e3,e1) != op(unit,e1),
inference(definition_unfolding,[],[f780,f899]) ).
fof(f780,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f3234,plain,
( ~ spl140_258
| ~ spl140_202 ),
inference(avatar_split_clause,[],[f3227,f2128,f2422]) ).
fof(f2422,plain,
( spl140_258
<=> e1 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_258])]) ).
fof(f3227,plain,
( e1 != op(unit,e4)
| ~ spl140_202 ),
inference(backward_demodulation,[],[f1203,f2129]) ).
fof(f1203,plain,
op(unit,e1) != op(unit,e4),
inference(definition_unfolding,[],[f753,f899,f899]) ).
fof(f753,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f3233,plain,
( ~ spl140_236
| ~ spl140_202 ),
inference(avatar_split_clause,[],[f3229,f2128,f2294]) ).
fof(f2294,plain,
( spl140_236
<=> e1 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_236])]) ).
fof(f3229,plain,
( e1 != op(unit,e3)
| ~ spl140_202 ),
inference(backward_demodulation,[],[f1190,f2129]) ).
fof(f1190,plain,
op(unit,e1) != op(unit,e3),
inference(definition_unfolding,[],[f776,f899,f899]) ).
fof(f776,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3232,plain,
( ~ spl140_165
| ~ spl140_202 ),
inference(avatar_split_clause,[],[f3228,f2128,f1970]) ).
fof(f1970,plain,
( spl140_165
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_165])]) ).
fof(f3228,plain,
( e1 != op(e2,e1)
| ~ spl140_202 ),
inference(backward_demodulation,[],[f1197,f2129]) ).
fof(f1197,plain,
op(e2,e1) != op(unit,e1),
inference(definition_unfolding,[],[f764,f899]) ).
fof(f764,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f3221,plain,
( spl140_88
| spl140_235
| spl140_20
| spl140_306
| spl140_310 ),
inference(avatar_split_clause,[],[f932,f2818,f2752,f1345,f2289,f1628]) ).
fof(f2818,plain,
( spl140_310
<=> e3 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_310])]) ).
fof(f932,plain,
( e3 = op(e1,unit)
| e3 = op(e1,e4)
| e3 = op(e1,e1)
| e3 = op(e1,e3)
| e3 = op(e1,e2) ),
inference(definition_unfolding,[],[f308,f899]) ).
fof(f308,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e3)
| e1 = op(e2,e4) )
& ( e3 = op(e4,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3)
| e3 = op(e1,e3) )
& ( e3 = op(e1,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e0,e4)
| e3 = op(e3,e4) )
& ( e4 = op(e4,e2)
| e4 = op(e0,e2)
| e4 = op(e1,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2) )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e4)
| op(e0,e0) = e3
| e3 = op(e0,e1) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e0,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e0)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e4) )
& ( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e4,e3)
| e2 = op(e2,e3) )
& ( e0 = op(e3,e0)
| e0 = op(e0,e0)
| e0 = op(e2,e0)
| e0 = op(e4,e0)
| e0 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1) )
& ( e2 = op(e4,e0)
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e2) )
& ( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e4,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e0) )
& ( e4 = op(e3,e3)
| e4 = op(e4,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3) )
& ( e4 = op(e0,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e4,e1)
| e4 = op(e3,e1) )
& ( e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e4)
| e0 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e4,e4)
| e2 = op(e0,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e0) )
& ( e2 = op(e0,e4)
| op(e0,e0) = e2
| e2 = op(e0,e3)
| e2 = op(e0,e1)
| e2 = op(e0,e2) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e4)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(e0,e4)
| e1 = op(e2,e4)
| e1 = op(e3,e4) )
& ( e0 = op(e2,e3)
| e0 = op(e4,e3)
| e0 = op(e1,e3)
| e0 = op(e3,e3)
| e0 = op(e0,e3) )
& ( e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3)
| e1 = op(e4,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2) )
& ( e3 = op(e2,e0)
| e3 = op(e1,e0)
| e3 = op(e4,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3 )
& ( e0 = op(e4,e0)
| e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e2) )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e4 = op(e4,e2)
| e4 = op(e4,e0)
| e4 = op(e4,e1)
| e4 = op(e4,e4)
| e4 = op(e4,e3) )
& ( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e4,e4)
| e4 = op(e0,e4)
| e4 = op(e3,e4) )
& ( e3 = op(e0,e1)
| e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1) )
& ( e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0)
| e1 = op(e4,e0)
| op(e0,e0) = e1 )
& ( e3 = op(e1,e4)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e4)
| e0 = op(e2,e2)
| e0 = op(e2,e3) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e4)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e4)
| e3 = op(e2,e2) )
& ( e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e4)
| e0 = op(e1,e0) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e2)
| e4 = op(e3,e3) )
& ( e1 = op(e0,e4)
| e1 = op(e0,e1)
| op(e0,e0) = e1
| e1 = op(e0,e2)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e0) )
& ( e4 = op(e0,e2)
| e4 = op(e0,e4)
| e4 = op(e0,e1)
| op(e0,e0) = e4
| e4 = op(e0,e3) )
& ( e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e4) )
& ( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e3,e1) )
& ( e0 = op(e4,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e4) )
& ( e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e4,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& ( e4 = op(e1,e0)
| op(e0,e0) = e4
| e4 = op(e2,e0)
| e4 = op(e3,e0)
| e4 = op(e4,e0) )
& ( e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| e4 = op(e2,e1)
| e4 = op(e2,e4) )
& ( e2 = op(e2,e2)
| e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e3)
| e2 = op(e2,e4) )
& ( e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4)
| e0 = op(e4,e4)
| e0 = op(e1,e4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f3219,plain,
~ spl140_130,
inference(avatar_split_clause,[],[f3218,f1817]) ).
fof(f1817,plain,
( spl140_130
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_130])]) ).
fof(f3218,plain,
~ sP106,
inference(subsumption_resolution,[],[f978,f1234]) ).
fof(f978,plain,
( unit != op(unit,unit)
| ~ sP106 ),
inference(definition_unfolding,[],[f420,f899,f899,f899]) ).
fof(f420,plain,
( e0 != op(e0,e0)
| ~ sP106 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP106 ),
inference(nnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f3206,plain,
( spl140_244
| ~ spl140_67 ),
inference(avatar_split_clause,[],[f1082,f1541,f2340]) ).
fof(f2340,plain,
( spl140_244
<=> e3 = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_244])]) ).
fof(f1541,plain,
( spl140_67
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_67])]) ).
fof(f1082,plain,
( ~ sP13
| e3 = op(e4,unit) ),
inference(definition_unfolding,[],[f606,f899]) ).
fof(f606,plain,
( e3 = op(e4,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
( ( e3 = op(e4,e0)
& ( e0 != op(e4,e3)
| e3 = unit ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e3 = op(e4,e0)
& ( e0 != op(e4,e3)
| e3 = unit ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f3205,plain,
( ~ spl140_59
| spl140_149 ),
inference(avatar_split_clause,[],[f950,f1898,f1508]) ).
fof(f1508,plain,
( spl140_59
<=> sP138 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_59])]) ).
fof(f950,plain,
( e4 = op(unit,e3)
| ~ sP138 ),
inference(definition_unfolding,[],[f344,f899]) ).
fof(f344,plain,
( e4 = op(e0,e3)
| ~ sP138 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e4 = op(e0,e3)
& ( e3 != op(e0,e4)
| e4 = unit ) )
| ~ sP138 ),
inference(nnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e4 = op(e0,e3)
& ( e3 != op(e0,e4)
| e4 = unit ) )
| ~ sP138 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP138])]) ).
fof(f3202,plain,
( spl140_265
| spl140_211
| spl140_232
| spl140_143
| spl140_280 ),
inference(avatar_split_clause,[],[f1216,f2552,f1870,f2271,f2173,f2461]) ).
fof(f1870,plain,
( spl140_143
<=> e3 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_143])]) ).
fof(f1216,plain,
( op(e3,e4) = unit
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4) ),
inference(definition_unfolding,[],[f879,f899]) ).
fof(f879,plain,
( e3 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3)
| e1 = op(e3,e3)
| e4 = op(e3,e3) )
& ( e3 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4) )
& ( e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1)
| e2 = op(e3,e1)
| e4 = op(e3,e1) )
& ( e3 = op(e1,e0)
| e0 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0) )
& ( e1 = op(e2,e1)
| e4 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1) )
& ( e2 = op(e4,e3)
| e3 = op(e4,e3)
| e0 = op(e4,e3)
| e4 = op(e4,e3)
| e1 = op(e4,e3) )
& ( e2 = op(e3,e2)
| e4 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2) )
& ( e3 = op(e3,e4)
| e4 = op(e3,e4)
| e0 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e4 = op(e0,e2) )
& ( op(e0,e0) = e4
| e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( e0 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4)
| e4 = op(e2,e4)
| e1 = op(e2,e4) )
& ( e1 = op(e1,e3)
| e2 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e2 = op(e0,e3)
| e0 = op(e0,e3)
| e4 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3) )
& ( e2 = op(e4,e4)
| e4 = op(e4,e4)
| e3 = op(e4,e4)
| e0 = op(e4,e4)
| e1 = op(e4,e4) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e0 = op(e2,e0)
| e4 = op(e2,e0)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e1 = op(e4,e2)
| e4 = op(e4,e2) )
& ( e4 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0) )
& ( e1 = op(e2,e2)
| e4 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e4,e0)
| e0 = op(e4,e0)
| e4 = op(e4,e0)
| e1 = op(e4,e0)
| e2 = op(e4,e0) )
& ( e3 = op(e1,e2)
| e4 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e2 = op(e0,e4)
| e0 = op(e0,e4)
| e3 = op(e0,e4)
| e4 = op(e0,e4)
| e1 = op(e0,e4) )
& ( e0 = op(e0,e1)
| e4 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1) )
& ( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e4 = op(e1,e1)
| e1 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f3201,plain,
( ~ spl140_73
| spl140_15
| ~ spl140_107 ),
inference(avatar_split_clause,[],[f1077,f1713,f1323,f1565]) ).
fof(f1565,plain,
( spl140_73
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_73])]) ).
fof(f1077,plain,
( op(e3,e3) != unit
| e3 = unit
| ~ sP19 ),
inference(definition_unfolding,[],[f593,f899]) ).
fof(f593,plain,
( e3 = unit
| e0 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( e3 = op(e3,e0)
& ( e3 = unit
| e0 != op(e3,e3) ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e3 = op(e3,e0)
& ( e3 = unit
| e0 != op(e3,e3) ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f3198,plain,
~ spl140_262,
inference(avatar_split_clause,[],[f3197,f2445]) ).
fof(f2445,plain,
( spl140_262
<=> e2 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_262])]) ).
fof(f3197,plain,
e2 != op(unit,e3),
inference(forward_demodulation,[],[f1170,f895]) ).
fof(f1170,plain,
op(unit,e2) != op(unit,e3),
inference(definition_unfolding,[],[f815,f899,f899]) ).
fof(f815,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f3186,plain,
( spl140_148
| ~ spl140_217 ),
inference(avatar_split_clause,[],[f953,f2197,f1894]) ).
fof(f2197,plain,
( spl140_217
<=> sP137 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_217])]) ).
fof(f953,plain,
( ~ sP137
| e4 = op(unit,e1) ),
inference(definition_unfolding,[],[f345,f899]) ).
fof(f345,plain,
( e4 = op(e0,e1)
| ~ sP137 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( ( e1 != op(e0,e4)
| e4 = unit )
& e4 = op(e0,e1) )
| ~ sP137 ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( ( e1 != op(e0,e4)
| e4 = unit )
& e4 = op(e0,e1) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f3185,plain,
~ spl140_287,
inference(avatar_split_clause,[],[f862,f2615]) ).
fof(f862,plain,
e2 != e4,
inference(cnf_transformation,[],[f6]) ).
fof(f3184,plain,
~ spl140_42,
inference(avatar_split_clause,[],[f3183,f1435]) ).
fof(f1435,plain,
( spl140_42
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_42])]) ).
fof(f3183,plain,
~ sP40,
inference(subsumption_resolution,[],[f3182,f1205]) ).
fof(f3182,plain,
( ~ sP40
| e2 = unit ),
inference(forward_demodulation,[],[f1060,f1234]) ).
fof(f1060,plain,
( e2 = op(unit,unit)
| ~ sP40 ),
inference(definition_unfolding,[],[f552,f899,f899]) ).
fof(f552,plain,
( op(e0,e0) = e2
| ~ sP40 ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ( op(e0,e0) = e2
& ( e0 != op(e0,e2)
| e2 = unit ) )
| ~ sP40 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( op(e0,e0) = e2
& ( e0 != op(e0,e2)
| e2 = unit ) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f3180,plain,
( spl140_211
| ~ spl140_25 ),
inference(avatar_split_clause,[],[f575,f1367,f2173]) ).
fof(f1367,plain,
( spl140_25
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_25])]) ).
fof(f575,plain,
( ~ sP28
| e2 = op(e3,e4) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ( ( e2 = unit
| e4 != op(e3,e2) )
& e2 = op(e3,e4) )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ( e2 = unit
| e4 != op(e3,e2) )
& e2 = op(e3,e4) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f3178,plain,
( spl140_257
| spl140_14
| spl140_232
| spl140_124 ),
inference(avatar_split_clause,[],[f3177,f1791,f2271,f1318,f2417]) ).
fof(f3177,plain,
( e4 = op(e3,e1)
| e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2) ),
inference(subsumption_resolution,[],[f3176,f861]) ).
fof(f3176,plain,
( e4 = op(e3,e3)
| e4 = op(e3,e4)
| e3 = e4
| e4 = op(e3,e2)
| e4 = op(e3,e1) ),
inference(forward_demodulation,[],[f937,f888]) ).
fof(f937,plain,
( e4 = op(e3,e2)
| e4 = op(e3,unit)
| e4 = op(e3,e3)
| e4 = op(e3,e1)
| e4 = op(e3,e4) ),
inference(definition_unfolding,[],[f303,f899]) ).
fof(f303,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e2)
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3175,plain,
( ~ spl140_237
| ~ spl140_12 ),
inference(avatar_split_clause,[],[f640,f1309,f2302]) ).
fof(f1309,plain,
( spl140_12
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_12])]) ).
fof(f640,plain,
( ~ sP0
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e3)
& op(e0,e0) != e2
& e2 != op(e2,e2)
& e2 != op(e1,e1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e3)
& op(e0,e0) != e2
& e2 != op(e2,e2)
& e2 != op(e1,e1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3173,plain,
( spl140_56
| spl140_12
| spl140_58
| ~ spl140_14
| spl140_57 ),
inference(avatar_split_clause,[],[f651,f1499,f1318,f1503,f1309,f1495]) ).
fof(f1495,plain,
( spl140_56
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_56])]) ).
fof(f1503,plain,
( spl140_58
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_58])]) ).
fof(f1499,plain,
( spl140_57
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_57])]) ).
fof(f651,plain,
( sP2
| e4 != op(e3,e3)
| sP1
| sP0
| sP3 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( op(e0,e0) != e2
| e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( ( e4 = op(e3,e2)
& ( e2 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e4,e4)
& ( e4 = unit
| e4 != op(e4,e4) ) )
| ( ( e4 = unit
| e4 != op(e2,e4) )
& e4 = op(e2,e4) )
| sP139
| sP138
| sP137
| sP136
| sP135
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118 )
& ( e4 = op(op(e1,e4),e1)
| op(e1,e4) = op(e4,e1)
| e1 != op(op(e1,e4),e4) )
& ( ( ( e0 != op(e2,op(e0,e2))
| e2 = op(e0,op(e0,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e4,op(e4,e2))
| e4 != op(e2,op(e4,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e3 != op(e2,op(e3,e2))
| e2 = op(e3,op(e3,e2)) ) )
| sP117
| sP116
| sP115
| sP114 )
& ( op(e2,e4) = op(e4,e2)
| e2 = op(op(e4,e2),e4)
| e4 != op(op(e4,e2),e2) )
& ( e2 != op(e3,e3)
| e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e2 != op(e3,e3)
| e3 != op(e2,e2)
| e3 = op(e3,e2) )
& ( op(e0,e2) = op(e2,e0)
| e0 != op(op(e0,e2),e2)
| e2 = op(op(e0,e2),e0) )
& ( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92 )
& ( e3 != op(e4,e4)
| e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 != op(op(e3,e4),e4)
| op(e3,e4) = op(e4,e3)
| e4 = op(op(e3,e4),e3) )
& ( e3 = op(e3,e0)
| op(e0,e0) != e3
| e0 != op(e3,e3) )
& ( e0 = op(e0,e3)
| e0 != op(e3,e3)
| op(e0,e0) != e3 )
& ( e2 = op(op(e2,e2),e2)
| e2 != op(op(e2,e2),e2)
| op(e2,e2) = op(e2,e2) )
& ( op(e3,e3) = op(e3,e3)
| e3 = op(op(e3,e3),e3)
| e3 != op(op(e3,e3),e3) )
& ( e3 != op(e1,e1)
| e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( op(e0,e0) != e4
| e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( op(e1,e4) = op(e4,e1)
| e4 != op(op(e4,e1),e1)
| e1 = op(op(e4,e1),e4) )
& ( e1 != op(e2,e2)
| e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e0,e1)
| e0 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e2 != op(op(e2,e1),e1)
| e1 = op(op(e2,e1),e2)
| op(e1,e2) = op(e2,e1) )
& ( op(e0,e3) = op(e3,e0)
| e3 = op(op(e0,e3),e0)
| e0 != op(op(e0,e3),e3) )
& ( e2 != op(op(e2,e3),e3)
| op(e2,e3) = op(e3,e2)
| e3 = op(op(e2,e3),e2) )
& ( op(e2,e4) = op(e4,e2)
| e4 = op(op(e2,e4),e2)
| e2 != op(op(e2,e4),e4) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e1 != op(op(e1,e0),e0)
| op(e0,e1) = op(e1,e0)
| e0 = op(op(e1,e0),e1) )
& ( e0 != op(op(e0,e4),e4)
| e4 = op(op(e0,e4),e0)
| op(e0,e4) = op(e4,e0) )
& ( op(e0,e2) = op(e2,e0)
| e2 != op(op(e2,e0),e0)
| e0 = op(op(e2,e0),e2) )
& ( e1 != op(e1,e1)
| e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(op(e0,e0),e0)
| e0 = op(op(e0,e0),e0)
| op(e0,e0) = op(e0,e0) )
& ( ( ( e1 != op(e1,e0)
| e0 = unit )
& e0 = op(e1,e1) )
| ( e0 = op(e3,e1)
& ( e1 != op(e3,e0)
| e0 = unit ) )
| ( ( e4 != op(e4,e0)
| e0 = unit )
& e0 = op(e4,e4) )
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70 )
& ( e0 = op(op(e3,e0),e3)
| e3 != op(op(e3,e0),e0)
| op(e0,e3) = op(e3,e0) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4)
| e1 != op(e4,e4) )
& ( ( ( e1 = unit
| e4 != op(e2,e1) )
& e1 = op(e2,e4) )
| ( ( e1 = unit
| e1 != op(e2,e1) )
& e1 = op(e2,e1) )
| ( e1 = op(e3,e0)
& ( e1 = unit
| e0 != op(e3,e1) ) )
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48 )
& ( e3 != op(op(e3,e2),e2)
| e2 = op(op(e3,e2),e3)
| op(e2,e3) = op(e3,e2) )
& ( op(e0,e4) = op(e4,e0)
| e4 != op(op(e4,e0),e0)
| e0 = op(op(e4,e0),e4) )
& ( op(e0,e0) != e1
| e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e4)
| e2 != op(e4,e4)
| e4 != op(e2,e2) )
& ( ( e2 = op(e2,e4)
& ( e4 != op(e2,e2)
| e2 = unit ) )
| ( e2 = op(e2,e0)
& ( e2 = unit
| e0 != op(e2,e2) ) )
| ( e2 = op(e2,e2)
& ( e2 = unit
| e2 != op(e2,e2) ) )
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26 )
& ( op(e3,e4) = op(e4,e3)
| e4 != op(op(e4,e3),e3)
| e3 = op(op(e4,e3),e4) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3)
| e4 != op(e3,e3) )
& ( op(e0,e1) = op(e1,e0)
| e0 != op(op(e0,e1),e1)
| e1 = op(op(e0,e1),e0) )
& ( e1 != op(op(e1,e1),e1)
| op(e1,e1) = op(e1,e1)
| e1 = op(op(e1,e1),e1) )
& ( e0 = op(e0,e2)
| e0 != op(e2,e2)
| op(e0,e0) != e2 )
& ( e4 = op(e4,e2)
| e4 != op(e2,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2)
| e2 != op(e1,e1) )
& ( op(e1,e3) = op(e3,e1)
| e1 = op(op(e3,e1),e3)
| e3 != op(op(e3,e1),e1) )
& ( ( e3 = op(e2,e3)
& ( e3 != op(e2,e3)
| e3 = unit ) )
| ( ( e3 = unit
| e1 != op(e0,e3) )
& e3 = op(e0,e1) )
| ( ( e3 = unit
| e2 != op(e1,e3) )
& e3 = op(e1,e2) )
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4 )
& ( op(e1,e2) = op(e2,e1)
| e1 != op(op(e1,e2),e2)
| e2 = op(op(e1,e2),e1) )
& ( ( e4 != op(e1,e1)
& e4 != op(e4,e4)
& op(e0,e0) != e4
& e4 != op(e3,e3)
& e4 != op(e2,e2) )
| sP3
| sP2
| sP1
| sP0 )
& ( op(e0,e0) != e4
| e0 != op(e4,e4)
| e0 = op(e0,e4) )
& ( op(e4,e4) = op(e4,e4)
| e4 != op(op(e4,e4),e4)
| e4 = op(op(e4,e4),e4) )
& ( e1 != op(e4,e4)
| e4 != op(e1,e1)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1)
| e1 != op(e3,e3) )
& ( op(e1,e3) = op(e3,e1)
| e3 = op(op(e1,e3),e1)
| e1 != op(op(e1,e3),e3) ) ),
inference(definition_folding,[],[f9,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,f87,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,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f11,plain,
( ( e0 != op(e2,e2)
& e0 != op(e1,e1)
& e0 != op(e4,e4)
& e0 != op(e3,e3)
& e0 != op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e1 != op(e4,e4)
& op(e0,e0) != e1
& e1 != op(e2,e2)
& e1 != op(e1,e1)
& e1 != op(e3,e3) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e3 != op(e3,e3)
& e3 != op(e2,e2)
& e3 != op(e1,e1)
& e3 != op(e4,e4)
& op(e0,e0) != e3 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e3 = op(e4,e1)
& ( e3 = unit
| e1 != op(e4,e3) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e3 = op(e2,e2)
& ( e2 != op(e2,e3)
| e3 = unit ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( ( e3 = unit
| e3 != op(e4,e3) )
& e3 = op(e4,e3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e3 = op(e3,e3)
& ( e3 = unit
| e3 != op(e3,e3) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e3 = op(e3,e4)
& ( e3 = unit
| e4 != op(e3,e3) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( ( e3 = unit
| e4 != op(e1,e3) )
& e3 = op(e1,e4) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( ( e3 = unit
| e1 != op(e2,e3) )
& e3 = op(e2,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( ( e4 != op(e4,e3)
| e3 = unit )
& e3 = op(e4,e4) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e3 = op(e1,e3)
& ( e3 = unit
| e3 != op(e1,e3) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f24,plain,
( ( e3 = op(e0,e3)
& ( e3 != op(e0,e3)
| e3 = unit ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( ( e2 != op(e4,e3)
| e3 = unit )
& e3 = op(e4,e2) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( ( e1 != op(e1,e3)
| e3 = unit )
& e3 = op(e1,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( op(e0,e0) = e3
& ( e3 = unit
| e0 != op(e0,e3) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( ( e3 = unit
| e1 != op(e3,e3) )
& e3 = op(e3,e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f30,plain,
( ( ( e3 = unit
| e4 != op(e2,e3) )
& e3 = op(e2,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e3 = op(e3,e2)
& ( e2 != op(e3,e3)
| e3 = unit ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e3 = op(e1,e0)
& ( e3 = unit
| e0 != op(e1,e3) ) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 = op(e2,e0)
& ( e3 = unit
| e0 != op(e2,e3) ) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e3 = op(e0,e4)
& ( e4 != op(e0,e3)
| e3 = unit ) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e3 = op(e0,e2)
& ( e2 != op(e0,e3)
| e3 = unit ) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e2 = op(e1,e3)
& ( e2 = unit
| e3 != op(e1,e2) ) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e2 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 = unit ) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f39,plain,
( ( ( e1 != op(e2,e2)
| e2 = unit )
& e2 = op(e2,e1) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e2 = op(e4,e2)
& ( e2 != op(e4,e2)
| e2 = unit ) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e2 = op(e3,e1)
& ( e2 = unit
| e1 != op(e3,e2) ) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( ( e2 != op(e1,e2)
| e2 = unit )
& e2 = op(e1,e2) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e2 = op(e4,e4)
& ( e4 != op(e4,e2)
| e2 = unit ) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( ( e2 = op(e3,e2)
& ( e2 != op(e3,e2)
| e2 = unit ) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( ( e2 = op(e3,e0)
& ( e2 = unit
| e0 != op(e3,e2) ) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f46,plain,
( ( ( e2 = unit
| e4 != op(e1,e2) )
& e2 = op(e1,e4) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( ( e2 = op(e0,e2)
& ( e2 != op(e0,e2)
| e2 = unit ) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f48,plain,
( ( ( e3 != op(e3,e2)
| e2 = unit )
& e2 = op(e3,e3) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f49,plain,
( ( e2 = op(e0,e1)
& ( e2 = unit
| e1 != op(e0,e2) ) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f51,plain,
( ( e2 = op(e4,e0)
& ( e2 = unit
| e0 != op(e4,e2) ) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( ( e2 = op(e1,e0)
& ( e0 != op(e1,e2)
| e2 = unit ) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e2 = op(e4,e3)
& ( e3 != op(e4,e2)
| e2 = unit ) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f54,plain,
( ( ( e2 = unit
| e4 != op(e0,e2) )
& e2 = op(e0,e4) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( ( e2 = op(e2,e3)
& ( e3 != op(e2,e2)
| e2 = unit ) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f56,plain,
( ( e2 = op(e4,e1)
& ( e2 = unit
| e1 != op(e4,e2) ) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f57,plain,
( ( e2 = op(e0,e3)
& ( e3 != op(e0,e2)
| e2 = unit ) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f58,plain,
( ( op(e0,e0) = e1
& ( e1 = unit
| e0 != op(e0,e1) ) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f59,plain,
( ( ( e4 != op(e4,e1)
| e1 = unit )
& e1 = op(e4,e4) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f60,plain,
( ( e1 = op(e3,e1)
& ( e1 != op(e3,e1)
| e1 = unit ) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f61,plain,
( ( e1 = op(e0,e4)
& ( e1 = unit
| e4 != op(e0,e1) ) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f62,plain,
( ( ( e2 != op(e0,e1)
| e1 = unit )
& e1 = op(e0,e2) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f63,plain,
( ( ( e0 != op(e1,e1)
| e1 = unit )
& e1 = op(e1,e0) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f64,plain,
( ( ( e1 = unit
| e3 != op(e3,e1) )
& e1 = op(e3,e3) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f65,plain,
( ( ( e1 = unit
| e3 != op(e1,e1) )
& e1 = op(e1,e3) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f66,plain,
( ( ( e1 = unit
| e2 != op(e3,e1) )
& e1 = op(e3,e2) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f67,plain,
( ( e1 = op(e4,e3)
& ( e1 = unit
| e3 != op(e4,e1) ) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f68,plain,
( ( ( e0 != op(e4,e1)
| e1 = unit )
& e1 = op(e4,e0) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f69,plain,
( ( e1 = op(e4,e2)
& ( e1 = unit
| e2 != op(e4,e1) ) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f70,plain,
( ( e1 = op(e0,e3)
& ( e3 != op(e0,e1)
| e1 = unit ) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f71,plain,
( ( e1 = op(e0,e1)
& ( e1 != op(e0,e1)
| e1 = unit ) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f72,plain,
( ( ( e1 = unit
| e4 != op(e3,e1) )
& e1 = op(e3,e4) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f73,plain,
( ( ( e4 != op(e1,e1)
| e1 = unit )
& e1 = op(e1,e4) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f74,plain,
( ( ( e1 = unit
| e1 != op(e1,e1) )
& e1 = op(e1,e1) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f75,plain,
( ( e1 = op(e2,e2)
& ( e2 != op(e2,e1)
| e1 = unit ) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f76,plain,
( ( e1 = op(e2,e0)
& ( e1 = unit
| e0 != op(e2,e1) ) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f77,plain,
( ( ( e1 = unit
| e2 != op(e1,e1) )
& e1 = op(e1,e2) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f78,plain,
( ( ( e1 = unit
| e1 != op(e4,e1) )
& e1 = op(e4,e1) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f79,plain,
( ( ( e3 != op(e2,e1)
| e1 = unit )
& e1 = op(e2,e3) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f80,plain,
( ( ( e0 = unit
| e0 != op(e3,e0) )
& e0 = op(e3,e0) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f81,plain,
( ( e0 = op(e2,e0)
& ( e0 != op(e2,e0)
| e0 = unit ) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f82,plain,
( ( e0 = op(e2,e4)
& ( e4 != op(e2,e0)
| e0 = unit ) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f83,plain,
( ( e0 = op(e3,e2)
& ( e2 != op(e3,e0)
| e0 = unit ) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f84,plain,
( ( e0 = op(e2,e2)
& ( e2 != op(e2,e0)
| e0 = unit ) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f85,plain,
( ( ( e2 != op(e4,e0)
| e0 = unit )
& e0 = op(e4,e2) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f86,plain,
( ( e0 = op(e1,e2)
& ( e2 != op(e1,e0)
| e0 = unit ) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f87,plain,
( ( e0 = op(e3,e3)
& ( e3 != op(e3,e0)
| e0 = unit ) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f88,plain,
( ( ( e0 = unit
| e3 != op(e2,e0) )
& e0 = op(e2,e3) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f89,plain,
( ( e0 = op(e1,e4)
& ( e0 = unit
| e4 != op(e1,e0) ) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f90,plain,
( ( e0 = op(e0,e0)
& ( e0 != op(e0,e0)
| e0 = unit ) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f91,plain,
( ( e0 = op(e1,e0)
& ( e0 != op(e1,e0)
| e0 = unit ) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f92,plain,
( ( ( e1 != op(e4,e0)
| e0 = unit )
& e0 = op(e4,e1) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f93,plain,
( ( ( e0 = unit
| op(e0,e0) != e3 )
& e0 = op(e0,e3) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f94,plain,
( ( e0 = op(e1,e3)
& ( e3 != op(e1,e0)
| e0 = unit ) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f95,plain,
( ( e0 = op(e0,e4)
& ( op(e0,e0) != e4
| e0 = unit ) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f96,plain,
( ( e0 = op(e3,e4)
& ( e0 = unit
| e4 != op(e3,e0) ) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f97,plain,
( ( e0 = op(e4,e3)
& ( e3 != op(e4,e0)
| e0 = unit ) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f98,plain,
( ( e0 = op(e2,e1)
& ( e0 = unit
| e1 != op(e2,e0) ) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f99,plain,
( ( ( e0 = unit
| e0 != op(e4,e0) )
& e0 = op(e4,e0) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f100,plain,
( ( ( e0 = unit
| op(e0,e0) != e1 )
& e0 = op(e0,e1) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f101,plain,
( ( e0 = op(e0,e2)
& ( e0 = unit
| op(e0,e0) != e2 ) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f102,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f103,plain,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f104,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f105,plain,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f106,plain,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f107,plain,
( ( e0 != op(e0,e4)
& op(e0,e0) = e4 )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f108,plain,
( ( op(e0,e0) = e3
& e0 != op(e0,e3) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f109,plain,
( ( e4 != op(e4,e3)
& e3 = op(e4,e4) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f110,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f111,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f112,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f113,plain,
( ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f114,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f115,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f117,plain,
( ( e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f118,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f119,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f120,plain,
( ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f121,plain,
( ( op(e0,e0) = e2
& e0 != op(e0,e2) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f122,plain,
( ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f123,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f124,plain,
( ( ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e0 != op(e1,op(e0,e1))
| e1 = op(e0,op(e0,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) )
& ( e1 = op(e3,op(e3,e1))
| e3 != op(e1,op(e3,e1)) )
& ( e2 != op(e1,op(e2,e1))
| e1 = op(e2,op(e2,e1)) ) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f125,plain,
( ( ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e3,op(e3,e3))
| e3 != op(e3,op(e3,e3)) )
& ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e2 != op(e3,op(e2,e3))
| e3 = op(e2,op(e2,e3)) ) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f126,plain,
( ( ( e0 = op(e1,op(e1,e0))
| e1 != op(e0,op(e1,e0)) )
& ( e3 != op(e0,op(e3,e0))
| e0 = op(e3,op(e3,e0)) )
& ( e0 != op(e0,op(e0,e0))
| e0 = op(e0,op(e0,e0)) )
& ( e0 = op(e4,op(e4,e0))
| e4 != op(e0,op(e4,e0)) )
& ( e0 = op(e2,op(e2,e0))
| e2 != op(e0,op(e2,e0)) ) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f127,plain,
( ( ( e3 != op(e4,op(e3,e4))
| e4 = op(e3,op(e3,e4)) )
& ( e0 != op(e4,op(e0,e4))
| e4 = op(e0,op(e0,e4)) )
& ( e4 = op(e4,op(e4,e4))
| e4 != op(e4,op(e4,e4)) )
& ( e4 = op(e2,op(e2,e4))
| e2 != op(e4,op(e2,e4)) )
& ( e1 != op(e4,op(e1,e4))
| e4 = op(e1,op(e1,e4)) ) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f128,plain,
( ( ( e2 != op(e1,e4)
| e4 = unit )
& e4 = op(e1,e2) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f129,plain,
( ( ( e4 = unit
| e2 != op(e4,e4) )
& e4 = op(e4,e2) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f130,plain,
( ( e4 = op(e2,e0)
& ( e4 = unit
| e0 != op(e2,e4) ) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f131,plain,
( ( ( e3 != op(e4,e4)
| e4 = unit )
& e4 = op(e4,e3) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f132,plain,
( ( e4 = op(e2,e3)
& ( e4 = unit
| e3 != op(e2,e4) ) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f133,plain,
( ( ( e4 = unit
| e3 != op(e1,e4) )
& e4 = op(e1,e3) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f134,plain,
( ( op(e0,e0) = e4
& ( e4 = unit
| e0 != op(e0,e4) ) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f135,plain,
( ( ( e4 = unit
| e4 != op(e0,e4) )
& e4 = op(e0,e4) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f136,plain,
( ( e4 = op(e4,e0)
& ( e4 = unit
| e0 != op(e4,e4) ) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f137,plain,
( ( ( e4 = unit
| e1 != op(e1,e4) )
& e4 = op(e1,e1) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f138,plain,
( ( ( e0 != op(e1,e4)
| e4 = unit )
& e4 = op(e1,e0) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f139,plain,
( ( ( e4 = unit
| e4 != op(e1,e4) )
& e4 = op(e1,e4) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f140,plain,
( ( e4 = op(e3,e3)
& ( e4 = unit
| e3 != op(e3,e4) ) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f141,plain,
( ( e4 = op(e3,e4)
& ( e4 != op(e3,e4)
| e4 = unit ) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f142,plain,
( ( e4 = op(e3,e1)
& ( e1 != op(e3,e4)
| e4 = unit ) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f143,plain,
( ( e4 = op(e3,e0)
& ( e4 = unit
| e0 != op(e3,e4) ) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f144,plain,
( ( e4 = op(e2,e1)
& ( e1 != op(e2,e4)
| e4 = unit ) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f145,plain,
( ( e4 = op(e0,e2)
& ( e4 = unit
| e2 != op(e0,e4) ) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f146,plain,
( ( e4 = op(e2,e2)
& ( e2 != op(e2,e4)
| e4 = unit ) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f149,plain,
( ( e4 = op(e4,e1)
& ( e4 = unit
| e1 != op(e4,e4) ) )
| ~ sP139 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP139])]) ).
fof(f9,plain,
( ( op(e0,e0) != e2
| e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( ( e4 = op(e3,e2)
& ( e2 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e4,e4)
& ( e4 = unit
| e4 != op(e4,e4) ) )
| ( ( e4 = unit
| e4 != op(e2,e4) )
& e4 = op(e2,e4) )
| ( e4 = op(e4,e1)
& ( e4 = unit
| e1 != op(e4,e4) ) )
| ( e4 = op(e0,e3)
& ( e3 != op(e0,e4)
| e4 = unit ) )
| ( ( e1 != op(e0,e4)
| e4 = unit )
& e4 = op(e0,e1) )
| ( e4 = op(e2,e2)
& ( e2 != op(e2,e4)
| e4 = unit ) )
| ( e4 = op(e0,e2)
& ( e4 = unit
| e2 != op(e0,e4) ) )
| ( e4 = op(e2,e1)
& ( e1 != op(e2,e4)
| e4 = unit ) )
| ( e4 = op(e3,e0)
& ( e4 = unit
| e0 != op(e3,e4) ) )
| ( e4 = op(e3,e1)
& ( e1 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e3,e4)
& ( e4 != op(e3,e4)
| e4 = unit ) )
| ( e4 = op(e3,e3)
& ( e4 = unit
| e3 != op(e3,e4) ) )
| ( ( e4 = unit
| e4 != op(e1,e4) )
& e4 = op(e1,e4) )
| ( ( e0 != op(e1,e4)
| e4 = unit )
& e4 = op(e1,e0) )
| ( ( e4 = unit
| e1 != op(e1,e4) )
& e4 = op(e1,e1) )
| ( e4 = op(e4,e0)
& ( e4 = unit
| e0 != op(e4,e4) ) )
| ( ( e4 = unit
| e4 != op(e0,e4) )
& e4 = op(e0,e4) )
| ( op(e0,e0) = e4
& ( e4 = unit
| e0 != op(e0,e4) ) )
| ( ( e4 = unit
| e3 != op(e1,e4) )
& e4 = op(e1,e3) )
| ( e4 = op(e2,e3)
& ( e4 = unit
| e3 != op(e2,e4) ) )
| ( ( e3 != op(e4,e4)
| e4 = unit )
& e4 = op(e4,e3) )
| ( e4 = op(e2,e0)
& ( e4 = unit
| e0 != op(e2,e4) ) )
| ( ( e4 = unit
| e2 != op(e4,e4) )
& e4 = op(e4,e2) )
| ( ( e2 != op(e1,e4)
| e4 = unit )
& e4 = op(e1,e2) ) )
& ( e4 = op(op(e1,e4),e1)
| op(e1,e4) = op(e4,e1)
| e1 != op(op(e1,e4),e4) )
& ( ( ( e0 != op(e2,op(e0,e2))
| e2 = op(e0,op(e0,e2)) )
& ( e2 = op(e2,op(e2,e2))
| e2 != op(e2,op(e2,e2)) )
& ( e2 = op(e4,op(e4,e2))
| e4 != op(e2,op(e4,e2)) )
& ( e2 = op(e1,op(e1,e2))
| e1 != op(e2,op(e1,e2)) )
& ( e3 != op(e2,op(e3,e2))
| e2 = op(e3,op(e3,e2)) ) )
| ( ( e3 != op(e4,op(e3,e4))
| e4 = op(e3,op(e3,e4)) )
& ( e0 != op(e4,op(e0,e4))
| e4 = op(e0,op(e0,e4)) )
& ( e4 = op(e4,op(e4,e4))
| e4 != op(e4,op(e4,e4)) )
& ( e4 = op(e2,op(e2,e4))
| e2 != op(e4,op(e2,e4)) )
& ( e1 != op(e4,op(e1,e4))
| e4 = op(e1,op(e1,e4)) ) )
| ( ( e0 = op(e1,op(e1,e0))
| e1 != op(e0,op(e1,e0)) )
& ( e3 != op(e0,op(e3,e0))
| e0 = op(e3,op(e3,e0)) )
& ( e0 != op(e0,op(e0,e0))
| e0 = op(e0,op(e0,e0)) )
& ( e0 = op(e4,op(e4,e0))
| e4 != op(e0,op(e4,e0)) )
& ( e0 = op(e2,op(e2,e0))
| e2 != op(e0,op(e2,e0)) ) )
| ( ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e3,op(e3,e3))
| e3 != op(e3,op(e3,e3)) )
& ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e2 != op(e3,op(e2,e3))
| e3 = op(e2,op(e2,e3)) ) )
| ( ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e0 != op(e1,op(e0,e1))
| e1 = op(e0,op(e0,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) )
& ( e1 = op(e3,op(e3,e1))
| e3 != op(e1,op(e3,e1)) )
& ( e2 != op(e1,op(e2,e1))
| e1 = op(e2,op(e2,e1)) ) ) )
& ( op(e2,e4) = op(e4,e2)
| e2 = op(op(e4,e2),e4)
| e4 != op(op(e4,e2),e2) )
& ( e2 != op(e3,e3)
| e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e2 != op(e3,e3)
| e3 != op(e2,e2)
| e3 = op(e3,e2) )
& ( op(e0,e2) = op(e2,e0)
| e0 != op(op(e0,e2),e2)
| e2 = op(op(e0,e2),e0) )
& ( ( e4 = op(e2,e2)
& e2 != op(e2,e4) )
| ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ( e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ( op(e0,e0) = e2
& e0 != op(e0,e2) )
| ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ( e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ( e4 != op(e4,e3)
& e3 = op(e4,e4) )
| ( op(e0,e0) = e3
& e0 != op(e0,e3) )
| ( e0 != op(e0,e4)
& op(e0,e0) = e4 )
| ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4) ) )
& ( e3 != op(e4,e4)
| e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 != op(op(e3,e4),e4)
| op(e3,e4) = op(e4,e3)
| e4 = op(op(e3,e4),e3) )
& ( e3 = op(e3,e0)
| op(e0,e0) != e3
| e0 != op(e3,e3) )
& ( e0 = op(e0,e3)
| e0 != op(e3,e3)
| op(e0,e0) != e3 )
& ( e2 = op(op(e2,e2),e2)
| e2 != op(op(e2,e2),e2)
| op(e2,e2) = op(e2,e2) )
& ( op(e3,e3) = op(e3,e3)
| e3 = op(op(e3,e3),e3)
| e3 != op(op(e3,e3),e3) )
& ( e3 != op(e1,e1)
| e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( op(e0,e0) != e4
| e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( op(e1,e4) = op(e4,e1)
| e4 != op(op(e4,e1),e1)
| e1 = op(op(e4,e1),e4) )
& ( e1 != op(e2,e2)
| e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 = op(e0,e1)
| e0 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e2 != op(op(e2,e1),e1)
| e1 = op(op(e2,e1),e2)
| op(e1,e2) = op(e2,e1) )
& ( op(e0,e3) = op(e3,e0)
| e3 = op(op(e0,e3),e0)
| e0 != op(op(e0,e3),e3) )
& ( e2 != op(op(e2,e3),e3)
| op(e2,e3) = op(e3,e2)
| e3 = op(op(e2,e3),e2) )
& ( op(e2,e4) = op(e4,e2)
| e4 = op(op(e2,e4),e2)
| e2 != op(op(e2,e4),e4) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e1 != op(op(e1,e0),e0)
| op(e0,e1) = op(e1,e0)
| e0 = op(op(e1,e0),e1) )
& ( e0 != op(op(e0,e4),e4)
| e4 = op(op(e0,e4),e0)
| op(e0,e4) = op(e4,e0) )
& ( op(e0,e2) = op(e2,e0)
| e2 != op(op(e2,e0),e0)
| e0 = op(op(e2,e0),e2) )
& ( e1 != op(e1,e1)
| e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(op(e0,e0),e0)
| e0 = op(op(e0,e0),e0)
| op(e0,e0) = op(e0,e0) )
& ( ( ( e1 != op(e1,e0)
| e0 = unit )
& e0 = op(e1,e1) )
| ( e0 = op(e3,e1)
& ( e1 != op(e3,e0)
| e0 = unit ) )
| ( ( e4 != op(e4,e0)
| e0 = unit )
& e0 = op(e4,e4) )
| ( e0 = op(e0,e2)
& ( e0 = unit
| op(e0,e0) != e2 ) )
| ( ( e0 = unit
| op(e0,e0) != e1 )
& e0 = op(e0,e1) )
| ( ( e0 = unit
| e0 != op(e4,e0) )
& e0 = op(e4,e0) )
| ( e0 = op(e2,e1)
& ( e0 = unit
| e1 != op(e2,e0) ) )
| ( e0 = op(e4,e3)
& ( e3 != op(e4,e0)
| e0 = unit ) )
| ( e0 = op(e3,e4)
& ( e0 = unit
| e4 != op(e3,e0) ) )
| ( e0 = op(e0,e4)
& ( op(e0,e0) != e4
| e0 = unit ) )
| ( e0 = op(e1,e3)
& ( e3 != op(e1,e0)
| e0 = unit ) )
| ( ( e0 = unit
| op(e0,e0) != e3 )
& e0 = op(e0,e3) )
| ( ( e1 != op(e4,e0)
| e0 = unit )
& e0 = op(e4,e1) )
| ( e0 = op(e1,e0)
& ( e0 != op(e1,e0)
| e0 = unit ) )
| ( e0 = op(e0,e0)
& ( e0 != op(e0,e0)
| e0 = unit ) )
| ( e0 = op(e1,e4)
& ( e0 = unit
| e4 != op(e1,e0) ) )
| ( ( e0 = unit
| e3 != op(e2,e0) )
& e0 = op(e2,e3) )
| ( e0 = op(e3,e3)
& ( e3 != op(e3,e0)
| e0 = unit ) )
| ( e0 = op(e1,e2)
& ( e2 != op(e1,e0)
| e0 = unit ) )
| ( ( e2 != op(e4,e0)
| e0 = unit )
& e0 = op(e4,e2) )
| ( e0 = op(e2,e2)
& ( e2 != op(e2,e0)
| e0 = unit ) )
| ( e0 = op(e3,e2)
& ( e2 != op(e3,e0)
| e0 = unit ) )
| ( e0 = op(e2,e4)
& ( e4 != op(e2,e0)
| e0 = unit ) )
| ( e0 = op(e2,e0)
& ( e0 != op(e2,e0)
| e0 = unit ) )
| ( ( e0 = unit
| e0 != op(e3,e0) )
& e0 = op(e3,e0) ) )
& ( e0 = op(op(e3,e0),e3)
| e3 != op(op(e3,e0),e0)
| op(e0,e3) = op(e3,e0) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4)
| e1 != op(e4,e4) )
& ( ( ( e1 = unit
| e4 != op(e2,e1) )
& e1 = op(e2,e4) )
| ( ( e1 = unit
| e1 != op(e2,e1) )
& e1 = op(e2,e1) )
| ( e1 = op(e3,e0)
& ( e1 = unit
| e0 != op(e3,e1) ) )
| ( ( e3 != op(e2,e1)
| e1 = unit )
& e1 = op(e2,e3) )
| ( ( e1 = unit
| e1 != op(e4,e1) )
& e1 = op(e4,e1) )
| ( ( e1 = unit
| e2 != op(e1,e1) )
& e1 = op(e1,e2) )
| ( e1 = op(e2,e0)
& ( e1 = unit
| e0 != op(e2,e1) ) )
| ( e1 = op(e2,e2)
& ( e2 != op(e2,e1)
| e1 = unit ) )
| ( ( e1 = unit
| e1 != op(e1,e1) )
& e1 = op(e1,e1) )
| ( ( e4 != op(e1,e1)
| e1 = unit )
& e1 = op(e1,e4) )
| ( ( e1 = unit
| e4 != op(e3,e1) )
& e1 = op(e3,e4) )
| ( e1 = op(e0,e1)
& ( e1 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e0,e3)
& ( e3 != op(e0,e1)
| e1 = unit ) )
| ( e1 = op(e4,e2)
& ( e1 = unit
| e2 != op(e4,e1) ) )
| ( ( e0 != op(e4,e1)
| e1 = unit )
& e1 = op(e4,e0) )
| ( e1 = op(e4,e3)
& ( e1 = unit
| e3 != op(e4,e1) ) )
| ( ( e1 = unit
| e2 != op(e3,e1) )
& e1 = op(e3,e2) )
| ( ( e1 = unit
| e3 != op(e1,e1) )
& e1 = op(e1,e3) )
| ( ( e1 = unit
| e3 != op(e3,e1) )
& e1 = op(e3,e3) )
| ( ( e0 != op(e1,e1)
| e1 = unit )
& e1 = op(e1,e0) )
| ( ( e2 != op(e0,e1)
| e1 = unit )
& e1 = op(e0,e2) )
| ( e1 = op(e0,e4)
& ( e1 = unit
| e4 != op(e0,e1) ) )
| ( e1 = op(e3,e1)
& ( e1 != op(e3,e1)
| e1 = unit ) )
| ( ( e4 != op(e4,e1)
| e1 = unit )
& e1 = op(e4,e4) )
| ( op(e0,e0) = e1
& ( e1 = unit
| e0 != op(e0,e1) ) ) )
& ( e3 != op(op(e3,e2),e2)
| e2 = op(op(e3,e2),e3)
| op(e2,e3) = op(e3,e2) )
& ( op(e0,e4) = op(e4,e0)
| e4 != op(op(e4,e0),e0)
| e0 = op(op(e4,e0),e4) )
& ( op(e0,e0) != e1
| e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e4)
| e2 != op(e4,e4)
| e4 != op(e2,e2) )
& ( ( e2 = op(e2,e4)
& ( e4 != op(e2,e2)
| e2 = unit ) )
| ( e2 = op(e2,e0)
& ( e2 = unit
| e0 != op(e2,e2) ) )
| ( e2 = op(e2,e2)
& ( e2 = unit
| e2 != op(e2,e2) ) )
| ( e2 = op(e0,e3)
& ( e3 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e4,e1)
& ( e2 = unit
| e1 != op(e4,e2) ) )
| ( e2 = op(e2,e3)
& ( e3 != op(e2,e2)
| e2 = unit ) )
| ( ( e2 = unit
| e4 != op(e0,e2) )
& e2 = op(e0,e4) )
| ( e2 = op(e4,e3)
& ( e3 != op(e4,e2)
| e2 = unit ) )
| ( e2 = op(e1,e0)
& ( e0 != op(e1,e2)
| e2 = unit ) )
| ( e2 = op(e4,e0)
& ( e2 = unit
| e0 != op(e4,e2) ) )
| ( op(e0,e0) = e2
& ( e0 != op(e0,e2)
| e2 = unit ) )
| ( e2 = op(e0,e1)
& ( e2 = unit
| e1 != op(e0,e2) ) )
| ( ( e3 != op(e3,e2)
| e2 = unit )
& e2 = op(e3,e3) )
| ( e2 = op(e0,e2)
& ( e2 != op(e0,e2)
| e2 = unit ) )
| ( ( e2 = unit
| e4 != op(e1,e2) )
& e2 = op(e1,e4) )
| ( e2 = op(e3,e0)
& ( e2 = unit
| e0 != op(e3,e2) ) )
| ( e2 = op(e3,e2)
& ( e2 != op(e3,e2)
| e2 = unit ) )
| ( e2 = op(e4,e4)
& ( e4 != op(e4,e2)
| e2 = unit ) )
| ( ( e2 != op(e1,e2)
| e2 = unit )
& e2 = op(e1,e2) )
| ( e2 = op(e3,e1)
& ( e2 = unit
| e1 != op(e3,e2) ) )
| ( e2 = op(e4,e2)
& ( e2 != op(e4,e2)
| e2 = unit ) )
| ( ( e1 != op(e2,e2)
| e2 = unit )
& e2 = op(e2,e1) )
| ( ( e2 = unit
| e4 != op(e3,e2) )
& e2 = op(e3,e4) )
| ( e2 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 = unit ) )
| ( e2 = op(e1,e3)
& ( e2 = unit
| e3 != op(e1,e2) ) ) )
& ( op(e3,e4) = op(e4,e3)
| e4 != op(op(e4,e3),e3)
| e3 = op(op(e4,e3),e4) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3)
| e4 != op(e3,e3) )
& ( op(e0,e1) = op(e1,e0)
| e0 != op(op(e0,e1),e1)
| e1 = op(op(e0,e1),e0) )
& ( e1 != op(op(e1,e1),e1)
| op(e1,e1) = op(e1,e1)
| e1 = op(op(e1,e1),e1) )
& ( e0 = op(e0,e2)
| e0 != op(e2,e2)
| op(e0,e0) != e2 )
& ( e4 = op(e4,e2)
| e4 != op(e2,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2)
| e2 != op(e1,e1) )
& ( op(e1,e3) = op(e3,e1)
| e1 = op(op(e3,e1),e3)
| e3 != op(op(e3,e1),e1) )
& ( ( e3 = op(e2,e3)
& ( e3 != op(e2,e3)
| e3 = unit ) )
| ( ( e3 = unit
| e1 != op(e0,e3) )
& e3 = op(e0,e1) )
| ( ( e3 = unit
| e2 != op(e1,e3) )
& e3 = op(e1,e2) )
| ( e3 = op(e0,e2)
& ( e2 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e0,e4)
& ( e4 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e2,e0)
& ( e3 = unit
| e0 != op(e2,e3) ) )
| ( e3 = op(e1,e0)
& ( e3 = unit
| e0 != op(e1,e3) ) )
| ( e3 = op(e3,e2)
& ( e2 != op(e3,e3)
| e3 = unit ) )
| ( ( e3 = unit
| e4 != op(e2,e3) )
& e3 = op(e2,e4) )
| ( e3 = op(e3,e0)
& ( e3 = unit
| e0 != op(e3,e3) ) )
| ( ( e3 = unit
| e1 != op(e3,e3) )
& e3 = op(e3,e1) )
| ( op(e0,e0) = e3
& ( e3 = unit
| e0 != op(e0,e3) ) )
| ( ( e1 != op(e1,e3)
| e3 = unit )
& e3 = op(e1,e1) )
| ( ( e2 != op(e4,e3)
| e3 = unit )
& e3 = op(e4,e2) )
| ( e3 = op(e0,e3)
& ( e3 != op(e0,e3)
| e3 = unit ) )
| ( e3 = op(e4,e0)
& ( e0 != op(e4,e3)
| e3 = unit ) )
| ( e3 = op(e1,e3)
& ( e3 = unit
| e3 != op(e1,e3) ) )
| ( ( e4 != op(e4,e3)
| e3 = unit )
& e3 = op(e4,e4) )
| ( ( e3 = unit
| e1 != op(e2,e3) )
& e3 = op(e2,e1) )
| ( ( e3 = unit
| e4 != op(e1,e3) )
& e3 = op(e1,e4) )
| ( e3 = op(e3,e4)
& ( e3 = unit
| e4 != op(e3,e3) ) )
| ( e3 = op(e3,e3)
& ( e3 = unit
| e3 != op(e3,e3) ) )
| ( ( e3 = unit
| e3 != op(e4,e3) )
& e3 = op(e4,e3) )
| ( e3 = op(e2,e2)
& ( e2 != op(e2,e3)
| e3 = unit ) )
| ( e3 = op(e4,e1)
& ( e3 = unit
| e1 != op(e4,e3) ) ) )
& ( op(e1,e2) = op(e2,e1)
| e1 != op(op(e1,e2),e2)
| e2 = op(op(e1,e2),e1) )
& ( ( e4 != op(e1,e1)
& e4 != op(e4,e4)
& op(e0,e0) != e4
& e4 != op(e3,e3)
& e4 != op(e2,e2) )
| ( e3 != op(e3,e3)
& e3 != op(e2,e2)
& e3 != op(e1,e1)
& e3 != op(e4,e4)
& op(e0,e0) != e3 )
| ( e1 != op(e4,e4)
& op(e0,e0) != e1
& e1 != op(e2,e2)
& e1 != op(e1,e1)
& e1 != op(e3,e3) )
| ( e0 != op(e2,e2)
& e0 != op(e1,e1)
& e0 != op(e4,e4)
& e0 != op(e3,e3)
& e0 != op(e0,e0) )
| ( e2 != op(e4,e4)
& e2 != op(e3,e3)
& op(e0,e0) != e2
& e2 != op(e2,e2)
& e2 != op(e1,e1) ) )
& ( op(e0,e0) != e4
| e0 != op(e4,e4)
| e0 = op(e0,e4) )
& ( op(e4,e4) = op(e4,e4)
| e4 != op(op(e4,e4),e4)
| e4 = op(op(e4,e4),e4) )
& ( e1 != op(e4,e4)
| e4 != op(e1,e1)
| e4 = op(e4,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1)
| e1 != op(e3,e3) )
& ( op(e1,e3) = op(e3,e1)
| e3 = op(op(e1,e3),e1)
| e1 != op(op(e1,e3),e3) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ( ( e4 = op(op(e4,e0),e0)
& e0 != op(op(e4,e0),e4)
& op(e0,e4) != op(e4,e0) )
| ( op(e3,e4) != op(e4,e3)
& e3 = op(op(e3,e4),e4)
& e4 != op(op(e3,e4),e3) )
| ( ( ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e1,op(e1,e3))
& e1 = op(e3,op(e1,e3)) )
| ( e3 != op(e4,op(e4,e3))
& e4 = op(e3,op(e4,e3)) ) )
& ( ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e2 != op(e0,op(e0,e2))
& e0 = op(e2,op(e0,e2)) ) )
& ( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) ) )
& ( ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) ) )
& ( ( e1 != op(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) ) ) )
| ( e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( op(e1,e3) != op(e3,e1)
& e1 = op(op(e1,e3),e3)
& e3 != op(op(e1,e3),e1) )
| ( e0 = op(e4,e4)
& op(e0,e0) = e4
& e0 != op(e0,e4) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( e4 != op(op(e2,e4),e2)
& op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4) )
| ( e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2) )
| ( e3 = op(e1,e1)
& e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e0 = op(e2,e2)
& e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ( e1 != op(e1,e3)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ( op(e0,e2) != op(e2,e0)
& e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0) )
| ( e4 = op(op(e4,e2),e2)
& e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2) )
| ( ( e4 != op(e4,e4)
| ( e4 != unit
& e4 = op(e4,e4) ) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( e4 != op(e0,e4)
| ( e4 = op(e0,e4)
& e4 != unit ) )
& ( ( e1 = op(e0,e4)
& e4 != unit )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( e4 != op(e1,e1)
| ( e4 != unit
& e1 = op(e1,e4) ) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( e4 != op(e4,e1)
| ( e4 != unit
& e1 = op(e4,e4) ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e2 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e2) )
& ( e4 != op(e0,e3)
| ( e3 = op(e0,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 )
& ( e4 != op(e0,e2)
| ( e4 != unit
& e2 = op(e0,e4) ) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( e4 != op(e3,e3)
| ( e3 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e4,e3)
| ( e4 != unit
& e3 = op(e4,e4) ) )
& ( ( e0 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e0) )
& ( e4 != op(e2,e3)
| ( e4 != unit
& e3 = op(e2,e4) ) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( e4 != op(e4,e0)
| ( e0 = op(e4,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( e4 != op(e2,e0)
| ( e4 != unit
& e0 = op(e2,e4) ) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) ) )
| ( e4 = op(e3,e3)
& e3 != op(e3,e4)
& e3 = op(e4,e4) )
| ( op(e0,e0) != op(e0,e0)
& e0 = op(op(e0,e0),e0)
& e0 != op(op(e0,e0),e0) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 = op(op(e1,e2),e2)
& e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1) )
| ( ( ( e2 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e2) )
& ( e0 != op(e0,e1)
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( e0 != op(e0,e2)
| ( e0 != unit
& op(e0,e0) = e2 ) )
& ( e0 != op(e2,e0)
| ( e0 = op(e2,e0)
& e0 != unit ) )
& ( e0 != op(e3,e3)
| ( e3 = op(e3,e0)
& e0 != unit ) )
& ( ( op(e0,e0) = e3
& e0 != unit )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( e0 != op(e4,e1)
| ( e0 != unit
& e1 = op(e4,e0) ) )
& ( e0 != op(e0,e4)
| ( e0 != unit
& op(e0,e0) = e4 ) )
& ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( e0 != op(e0,e0)
| ( e0 = op(e0,e0)
& e0 != unit ) )
& ( e0 != op(e1,e1)
| ( e1 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( e0 != op(e1,e0)
| ( e0 != unit
& e0 = op(e1,e0) ) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e3 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e3) )
& ( e0 != op(e4,e2)
| ( e2 = op(e4,e0)
& e0 != unit ) )
& ( ( e1 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e1 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e1) )
& ( ( e3 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e3) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) ) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( ( e4 = op(e1,e1)
| e4 = op(e2,e2)
| e4 = op(e3,e3)
| e4 = op(e4,e4)
| op(e0,e0) = e4 )
& ( op(e0,e0) = e2
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e4,e4)
| e2 = op(e1,e1) )
& ( e0 = op(e4,e4)
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e1,e1) )
& ( e3 = op(e2,e2)
| e3 = op(e1,e1)
| e3 = op(e3,e3)
| op(e0,e0) = e3
| e3 = op(e4,e4) )
& ( e1 = op(e3,e3)
| op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| e1 = op(e4,e4) ) )
| ( ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( e1 != op(e2,e3)
| ( e1 != unit
& e3 = op(e2,e1) ) )
& ( e1 != op(e0,e3)
| ( e1 != unit
& e3 = op(e0,e1) ) )
& ( e1 != op(e3,e3)
| ( e3 = op(e3,e1)
& e1 != unit ) )
& ( ( e4 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e4) )
& ( e1 != op(e0,e2)
| ( e2 = op(e0,e1)
& e1 != unit ) )
& ( e1 != op(e1,e0)
| ( e1 != unit
& e0 = op(e1,e1) ) )
& ( e1 != op(e2,e4)
| ( e1 != unit
& e4 = op(e2,e1) ) )
& ( op(e0,e0) != e1
| ( e0 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( e1 != op(e2,e2)
| ( e1 != unit
& e2 = op(e2,e1) ) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e2 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e2) )
& ( e1 != op(e1,e1)
| ( e1 != unit
& e1 = op(e1,e1) ) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( e1 != op(e4,e1)
| ( e1 = op(e4,e1)
& e1 != unit ) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( e1 != op(e3,e2)
| ( e2 = op(e3,e1)
& e1 != unit ) )
& ( e1 != op(e4,e4)
| ( e1 != unit
& e4 = op(e4,e1) ) )
& ( e1 != op(e2,e1)
| ( e1 != unit
& e1 = op(e2,e1) ) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( e1 != op(e3,e4)
| ( e1 != unit
& e4 = op(e3,e1) ) )
& ( e1 != op(e1,e3)
| ( e1 != unit
& e3 = op(e1,e1) ) )
& ( ( e0 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) ) )
| ( op(e4,e4) != op(e4,e4)
& e4 = op(op(e4,e4),e4)
& e4 != op(op(e4,e4),e4) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 = op(e3,e3)
& op(e0,e0) = e3
& e0 != op(e0,e3) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e2 = op(e1,e1) )
| ( op(e2,e3) != op(e3,e2)
& e3 = op(op(e3,e2),e2)
& e2 != op(op(e3,e2),e3) )
| ( e2 = op(e3,e3)
& e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ( e4 = op(e2,e2)
& e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ( op(e3,e4) != op(e4,e3)
& e4 = op(op(e4,e3),e3)
& e3 != op(op(e4,e3),e4) )
| ( e1 != op(op(e0,e1),e0)
& op(e0,e1) != op(e1,e0)
& e0 = op(op(e0,e1),e1) )
| ( ( e3 != op(e4,e4)
| ( e4 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e1,e1)
| ( e1 = op(e1,e3)
& e3 != unit ) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e1 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e1) )
& ( e3 != op(e4,e0)
| ( e3 != unit
& e0 = op(e4,e3) ) )
& ( e3 != op(e3,e2)
| ( e2 = op(e3,e3)
& e3 != unit ) )
& ( ( e0 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e0) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e3,e0)
| ( e0 = op(e3,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e3) )
& ( e3 != op(e1,e4)
| ( e3 != unit
& e4 = op(e1,e3) ) )
& ( ( e0 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( e3 != op(e0,e2)
| ( e2 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( e3 != op(e0,e3)
| ( e3 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e3) )
& ( e3 != op(e1,e2)
| ( e2 = op(e1,e3)
& e3 != unit ) )
& ( e3 != op(e3,e4)
| ( e4 = op(e3,e3)
& e3 != unit ) )
& ( op(e0,e0) != e3
| ( e0 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e2 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) ) )
| ( ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) ) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 = op(e1,e1)
& e1 != op(e1,e4)
& e1 = op(e4,e4) )
| ( e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0)
& e3 != op(op(e0,e3),e0) )
| ( e3 = op(e4,e4)
& e4 = op(e3,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 = op(e3,e3)
& e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 = op(op(e3,e3),e3)
& e3 != op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( op(e0,e1) != op(e1,e0)
& e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e2 = op(e4,e4)
& e2 != op(e2,e4)
& e4 = op(e2,e2) )
| ( op(e1,e1) != op(e1,e1)
& e1 = op(op(e1,e1),e1)
& e1 != op(op(e1,e1),e1) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( op(e0,e0) = e1
& e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e1 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( op(e0,e0) != e2
| ( e2 != unit
& e0 = op(e0,e2) ) )
& ( e2 != op(e1,e2)
| ( e2 != unit
& e2 = op(e1,e2) ) )
& ( e2 != op(e2,e2)
| ( e2 != unit
& e2 = op(e2,e2) ) )
& ( e2 != op(e4,e4)
| ( e2 != unit
& e4 = op(e4,e2) ) )
& ( e2 != op(e3,e0)
| ( e0 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e2,e3)
| ( e3 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( e2 != op(e1,e3)
| ( e3 = op(e1,e2)
& e2 != unit ) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( e2 != op(e4,e1)
| ( e2 != unit
& e1 = op(e4,e2) ) )
& ( e2 != op(e3,e1)
| ( e1 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e0,e4)
| ( e4 = op(e0,e2)
& e2 != unit ) )
& ( e2 != op(e1,e0)
| ( e2 != unit
& e0 = op(e1,e2) ) )
& ( ( e3 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e3) )
& ( e2 != op(e2,e4)
| ( e2 != unit
& e4 = op(e2,e2) ) )
& ( e2 != op(e0,e2)
| ( e2 = op(e0,e2)
& e2 != unit ) )
& ( e2 != op(e4,e3)
| ( e2 != unit
& e3 = op(e4,e2) ) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( e2 != op(e1,e4)
| ( e2 != unit
& e4 = op(e1,e2) ) ) )
| ( e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
( ( e4 = op(op(e4,e0),e0)
& e0 != op(op(e4,e0),e4)
& op(e0,e4) != op(e4,e0) )
| ( op(e3,e4) != op(e4,e3)
& e3 = op(op(e3,e4),e4)
& e4 != op(op(e3,e4),e3) )
| ( ( ( e3 != op(e3,op(e3,e3))
& e3 = op(e3,op(e3,e3)) )
| ( e3 != op(e0,op(e0,e3))
& e0 = op(e3,op(e0,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e3 != op(e1,op(e1,e3))
& e1 = op(e3,op(e1,e3)) )
| ( e3 != op(e4,op(e4,e3))
& e4 = op(e3,op(e4,e3)) ) )
& ( ( e2 != op(e3,op(e3,e2))
& e3 = op(e2,op(e3,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e2 != op(e0,op(e0,e2))
& e0 = op(e2,op(e0,e2)) ) )
& ( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) ) )
& ( ( e0 != op(e2,op(e2,e0))
& e2 = op(e0,op(e2,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e0 != op(e0,op(e0,e0))
& e0 = op(e0,op(e0,e0)) )
| ( e0 != op(e1,op(e1,e0))
& e1 = op(e0,op(e1,e0)) )
| ( e0 != op(e4,op(e4,e0))
& e4 = op(e0,op(e4,e0)) ) )
& ( ( e1 != op(e4,op(e4,e1))
& e4 = op(e1,op(e4,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e1 != op(e0,op(e0,e1))
& e0 = op(e1,op(e0,e1)) ) ) )
| ( e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( op(e1,e3) != op(e3,e1)
& e1 = op(op(e1,e3),e3)
& e3 != op(op(e1,e3),e1) )
| ( e0 = op(e4,e4)
& op(e0,e0) = e4
& e0 != op(e0,e4) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e1 != op(op(e4,e1),e4)
& op(e1,e4) != op(e4,e1)
& e4 = op(op(e4,e1),e1) )
| ( e4 != op(op(e2,e4),e2)
& op(e2,e4) != op(e4,e2)
& e2 = op(op(e2,e4),e4) )
| ( e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2)
& e2 != op(op(e2,e2),e2) )
| ( e3 = op(e1,e1)
& e1 = op(e3,e3)
& e3 != op(e3,e1) )
| ( e1 != op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e0 = op(e2,e2)
& e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ( e1 != op(e1,e3)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ( op(e0,e2) != op(e2,e0)
& e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0) )
| ( e4 = op(op(e4,e2),e2)
& e2 != op(op(e4,e2),e4)
& op(e2,e4) != op(e4,e2) )
| ( ( e4 != op(e4,e4)
| ( e4 != unit
& e4 = op(e4,e4) ) )
& ( ( e4 != unit
& e1 = op(e2,e4) )
| e4 != op(e2,e1) )
& ( e4 != op(e0,e4)
| ( e4 = op(e0,e4)
& e4 != unit ) )
& ( ( e1 = op(e0,e4)
& e4 != unit )
| e4 != op(e0,e1) )
& ( ( e4 != unit
& e3 = op(e1,e4) )
| e4 != op(e1,e3) )
& ( e4 != op(e1,e1)
| ( e4 != unit
& e1 = op(e1,e4) ) )
& ( ( e4 != unit
& e2 = op(e1,e4) )
| e4 != op(e1,e2) )
& ( e4 != op(e4,e1)
| ( e4 != unit
& e1 = op(e4,e4) ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e2 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e2) )
& ( e4 != op(e0,e3)
| ( e3 = op(e0,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 )
& ( e4 != op(e0,e2)
| ( e4 != unit
& e2 = op(e0,e4) ) )
& ( ( e4 != unit
& e4 = op(e2,e4) )
| e4 != op(e2,e4) )
& ( e4 != op(e3,e3)
| ( e3 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e4,e3)
| ( e4 != unit
& e3 = op(e4,e4) ) )
& ( ( e0 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e0) )
& ( e4 != op(e2,e3)
| ( e4 != unit
& e3 = op(e2,e4) ) )
& ( ( e4 != unit
& e4 = op(e3,e4) )
| e4 != op(e3,e4) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( e4 != op(e4,e0)
| ( e0 = op(e4,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e4 = op(e1,e4) )
| e4 != op(e1,e4) )
& ( e4 != op(e2,e0)
| ( e4 != unit
& e0 = op(e2,e4) ) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) ) )
| ( e4 = op(e3,e3)
& e3 != op(e3,e4)
& e3 = op(e4,e4) )
| ( op(e0,e0) != op(e0,e0)
& e0 = op(op(e0,e0),e0)
& e0 != op(op(e0,e0),e0) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 = op(op(e1,e2),e2)
& e2 != op(op(e1,e2),e1)
& op(e1,e2) != op(e2,e1) )
| ( ( ( e2 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e2) )
& ( e0 != op(e0,e1)
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( e0 != op(e0,e2)
| ( e0 != unit
& op(e0,e0) = e2 ) )
& ( e0 != op(e2,e0)
| ( e0 = op(e2,e0)
& e0 != unit ) )
& ( e0 != op(e3,e3)
| ( e3 = op(e3,e0)
& e0 != unit ) )
& ( ( op(e0,e0) = e3
& e0 != unit )
| e0 != op(e0,e3) )
& ( ( e0 != unit
& e4 = op(e3,e0) )
| e0 != op(e3,e4) )
& ( e0 != op(e4,e1)
| ( e0 != unit
& e1 = op(e4,e0) ) )
& ( e0 != op(e0,e4)
| ( e0 != unit
& op(e0,e0) = e4 ) )
& ( ( e0 != unit
& e4 = op(e4,e0) )
| e0 != op(e4,e4) )
& ( e0 != op(e0,e0)
| ( e0 = op(e0,e0)
& e0 != unit ) )
& ( e0 != op(e1,e1)
| ( e1 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( e0 != op(e1,e0)
| ( e0 != unit
& e0 = op(e1,e0) ) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e3 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e3) )
& ( e0 != op(e4,e2)
| ( e2 = op(e4,e0)
& e0 != unit ) )
& ( ( e1 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e1) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( ( e1 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e1) )
& ( ( e3 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e3) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) ) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( ( e4 = op(e1,e1)
| e4 = op(e2,e2)
| e4 = op(e3,e3)
| e4 = op(e4,e4)
| op(e0,e0) = e4 )
& ( op(e0,e0) = e2
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e4,e4)
| e2 = op(e1,e1) )
& ( e0 = op(e4,e4)
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e1,e1) )
& ( e3 = op(e2,e2)
| e3 = op(e1,e1)
| e3 = op(e3,e3)
| op(e0,e0) = e3
| e3 = op(e4,e4) )
& ( e1 = op(e3,e3)
| op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| e1 = op(e4,e4) ) )
| ( ( ( e1 != unit
& e1 = op(e3,e1) )
| e1 != op(e3,e1) )
& ( e1 != op(e2,e3)
| ( e1 != unit
& e3 = op(e2,e1) ) )
& ( e1 != op(e0,e3)
| ( e1 != unit
& e3 = op(e0,e1) ) )
& ( e1 != op(e3,e3)
| ( e3 = op(e3,e1)
& e1 != unit ) )
& ( ( e4 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e4) )
& ( e1 != op(e0,e2)
| ( e2 = op(e0,e1)
& e1 != unit ) )
& ( e1 != op(e1,e0)
| ( e1 != unit
& e0 = op(e1,e1) ) )
& ( e1 != op(e2,e4)
| ( e1 != unit
& e4 = op(e2,e1) ) )
& ( op(e0,e0) != e1
| ( e0 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( e1 != op(e2,e2)
| ( e1 != unit
& e2 = op(e2,e1) ) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( ( e2 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e2) )
& ( e1 != op(e1,e1)
| ( e1 != unit
& e1 = op(e1,e1) ) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( e1 != op(e4,e1)
| ( e1 = op(e4,e1)
& e1 != unit ) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( e1 != op(e3,e2)
| ( e2 = op(e3,e1)
& e1 != unit ) )
& ( e1 != op(e4,e4)
| ( e1 != unit
& e4 = op(e4,e1) ) )
& ( e1 != op(e2,e1)
| ( e1 != unit
& e1 = op(e2,e1) ) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( e1 != op(e3,e4)
| ( e1 != unit
& e4 = op(e3,e1) ) )
& ( e1 != op(e1,e3)
| ( e1 != unit
& e3 = op(e1,e1) ) )
& ( ( e0 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e0) )
& ( ( e1 != unit
& e0 = op(e4,e1) )
| e1 != op(e4,e0) ) )
| ( op(e4,e4) != op(e4,e4)
& e4 = op(op(e4,e4),e4)
& e4 != op(op(e4,e4),e4) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e0 = op(e3,e3)
& op(e0,e0) = e3
& e0 != op(e0,e3) )
| ( e1 = op(e2,e2)
& e2 != op(e2,e1)
& e2 = op(e1,e1) )
| ( op(e2,e3) != op(e3,e2)
& e3 = op(op(e3,e2),e2)
& e2 != op(op(e3,e2),e3) )
| ( e2 = op(e3,e3)
& e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ( e4 = op(e2,e2)
& e4 != op(e4,e2)
& e2 = op(e4,e4) )
| ( op(e3,e4) != op(e4,e3)
& e4 = op(op(e4,e3),e3)
& e3 != op(op(e4,e3),e4) )
| ( e1 != op(op(e0,e1),e0)
& op(e0,e1) != op(e1,e0)
& e0 = op(op(e0,e1),e1) )
| ( ( e3 != op(e4,e4)
| ( e4 = op(e4,e3)
& e3 != unit ) )
& ( e3 != op(e1,e1)
| ( e1 = op(e1,e3)
& e3 != unit ) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e1 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e1) )
& ( e3 != op(e4,e0)
| ( e3 != unit
& e0 = op(e4,e3) ) )
& ( e3 != op(e3,e2)
| ( e2 = op(e3,e3)
& e3 != unit ) )
& ( ( e0 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e0) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e3,e0)
| ( e0 = op(e3,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( ( e3 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e3) )
& ( e3 != op(e1,e4)
| ( e3 != unit
& e4 = op(e1,e3) ) )
& ( ( e0 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e0) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( e3 != op(e0,e2)
| ( e2 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e1 = op(e2,e3) )
| e3 != op(e2,e1) )
& ( e3 != op(e0,e3)
| ( e3 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e3) )
& ( e3 != op(e1,e2)
| ( e2 = op(e1,e3)
& e3 != unit ) )
& ( e3 != op(e3,e4)
| ( e4 = op(e3,e3)
& e3 != unit ) )
& ( op(e0,e0) != e3
| ( e0 = op(e0,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e4,e3) )
| e3 != op(e4,e2) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e2 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e2) )
& ( ( e3 != unit
& e4 = op(e0,e3) )
| e3 != op(e0,e4) ) )
| ( ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e4 != op(e3,e3)
| e3 = op(e3,e4) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e0 != op(e2,e2)
| e2 = op(e2,e0) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e3 != op(e2,e2)
| e2 = op(e2,e3) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) ) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 = op(e1,e1)
& e1 != op(e1,e4)
& e1 = op(e4,e4) )
| ( e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0)
& e3 != op(op(e0,e3),e0) )
| ( e3 = op(e4,e4)
& e4 = op(e3,e3)
& e4 != op(e4,e3) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 = op(e3,e3)
& e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 = op(op(e3,e3),e3)
& e3 != op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( op(e0,e1) != op(e1,e0)
& e1 = op(op(e1,e0),e0)
& e0 != op(op(e1,e0),e1) )
| ( e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1)
& e1 != op(op(e3,e1),e3) )
| ( e2 = op(e4,e4)
& e2 != op(e2,e4)
& e4 = op(e2,e2) )
| ( op(e1,e1) != op(e1,e1)
& e1 = op(op(e1,e1),e1)
& e1 != op(op(e1,e1),e1) )
| ( op(e2,e3) != op(e3,e2)
& e2 = op(op(e2,e3),e3)
& e3 != op(op(e2,e3),e2) )
| ( op(e0,e0) = e1
& e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( ( ( e2 != unit
& e1 = op(e0,e2) )
| e2 != op(e0,e1) )
& ( ( e1 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e0 = op(e4,e2) )
| e2 != op(e4,e0) )
& ( op(e0,e0) != e2
| ( e2 != unit
& e0 = op(e0,e2) ) )
& ( e2 != op(e1,e2)
| ( e2 != unit
& e2 = op(e1,e2) ) )
& ( e2 != op(e2,e2)
| ( e2 != unit
& e2 = op(e2,e2) ) )
& ( e2 != op(e4,e4)
| ( e2 != unit
& e4 = op(e4,e2) ) )
& ( e2 != op(e3,e0)
| ( e0 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e2,e3)
| ( e3 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e3,e2) )
| e2 != op(e3,e3) )
& ( ( e2 != unit
& e4 = op(e3,e2) )
| e2 != op(e3,e4) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( e2 != op(e1,e3)
| ( e3 = op(e1,e2)
& e2 != unit ) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( e2 != op(e4,e1)
| ( e2 != unit
& e1 = op(e4,e2) ) )
& ( e2 != op(e3,e1)
| ( e1 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e0,e4)
| ( e4 = op(e0,e2)
& e2 != unit ) )
& ( e2 != op(e1,e0)
| ( e2 != unit
& e0 = op(e1,e2) ) )
& ( ( e3 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e3) )
& ( e2 != op(e2,e4)
| ( e2 != unit
& e4 = op(e2,e2) ) )
& ( e2 != op(e0,e2)
| ( e2 = op(e0,e2)
& e2 != unit ) )
& ( e2 != op(e4,e3)
| ( e2 != unit
& e3 = op(e4,e2) ) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( e2 != op(e1,e4)
| ( e2 != unit
& e4 = op(e1,e2) ) ) )
| ( e0 = op(op(e0,e2),e2)
& e2 != op(op(e0,e2),e0)
& op(e0,e2) != op(e2,e0) )
| ( op(e1,e2) != op(e2,e1)
& e2 = op(op(e2,e1),e1)
& e1 != op(op(e2,e1),e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f3171,plain,
( spl140_20
| ~ spl140_16 ),
inference(avatar_split_clause,[],[f599,f1327,f1345]) ).
fof(f1327,plain,
( spl140_16
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_16])]) ).
fof(f599,plain,
( ~ sP16
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
( ( ( e1 != op(e1,e3)
| e3 = unit )
& e3 = op(e1,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f3170,plain,
( ~ spl140_105
| ~ spl140_69
| spl140_15 ),
inference(avatar_split_clause,[],[f602,f1323,f1549,f1704]) ).
fof(f1549,plain,
( spl140_69
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_69])]) ).
fof(f602,plain,
( e3 = unit
| ~ sP15
| e2 != op(e4,e3) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
( ( ( e2 != op(e4,e3)
| e3 = unit )
& e3 = op(e4,e2) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f3169,plain,
( spl140_60
| ~ spl140_216
| ~ spl140_306 ),
inference(avatar_split_clause,[],[f374,f2752,f2193,f1512]) ).
fof(f2193,plain,
( spl140_216
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_216])]) ).
fof(f374,plain,
( e3 != op(e1,e4)
| ~ sP123
| e4 = unit ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( ( e4 = unit
| e3 != op(e1,e4) )
& e4 = op(e1,e3) )
| ~ sP123 ),
inference(nnf_transformation,[],[f133]) ).
fof(f3168,plain,
( spl140_118
| ~ spl140_160 ),
inference(avatar_split_clause,[],[f502,f1950,f1762]) ).
fof(f1950,plain,
( spl140_160
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_160])]) ).
fof(f502,plain,
( ~ sP65
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( ( e1 = op(e2,e2)
& ( e2 != op(e2,e1)
| e1 = unit ) )
| ~ sP65 ),
inference(nnf_transformation,[],[f75]) ).
fof(f3167,plain,
( spl140_87
| spl140_325
| spl140_43
| spl140_91 ),
inference(avatar_split_clause,[],[f3166,f1640,f1439,f2946,f1623]) ).
fof(f3166,plain,
( op(e1,e2) = unit
| op(e2,e2) = unit
| op(e4,e2) = unit
| op(e3,e2) = unit ),
inference(subsumption_resolution,[],[f3165,f1205]) ).
fof(f3165,plain,
( e2 = unit
| op(e2,e2) = unit
| op(e1,e2) = unit
| op(e3,e2) = unit
| op(e4,e2) = unit ),
inference(forward_demodulation,[],[f912,f895]) ).
fof(f912,plain,
( op(e4,e2) = unit
| unit = op(unit,e2)
| op(e3,e2) = unit
| op(e2,e2) = unit
| op(e1,e2) = unit ),
inference(definition_unfolding,[],[f328,f899,f899,f899,f899,f899,f899]) ).
fof(f328,plain,
( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e4,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3164,plain,
~ spl140_121,
inference(avatar_split_clause,[],[f3163,f1776]) ).
fof(f1776,plain,
( spl140_121
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_121])]) ).
fof(f3163,plain,
~ sP111,
inference(subsumption_resolution,[],[f3162,f1205]) ).
fof(f3162,plain,
( ~ sP111
| e2 = unit ),
inference(forward_demodulation,[],[f976,f1234]) ).
fof(f976,plain,
( ~ sP111
| e2 = op(unit,unit) ),
inference(definition_unfolding,[],[f410,f899,f899]) ).
fof(f410,plain,
( op(e0,e0) = e2
| ~ sP111 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( op(e0,e0) = e2
& e0 != op(e0,e2) )
| ~ sP111 ),
inference(nnf_transformation,[],[f121]) ).
fof(f3160,plain,
( spl140_124
| spl140_148
| spl140_271
| spl140_281
| spl140_104 ),
inference(avatar_split_clause,[],[f915,f1699,f2558,f2491,f1894,f1791]) ).
fof(f915,plain,
( e4 = op(e1,e1)
| e4 = op(e2,e1)
| e4 = op(e4,e1)
| e4 = op(unit,e1)
| e4 = op(e3,e1) ),
inference(definition_unfolding,[],[f325,f899]) ).
fof(f325,plain,
( e4 = op(e0,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e4,e1)
| e4 = op(e3,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3156,plain,
( ~ spl140_200
| ~ spl140_12 ),
inference(avatar_split_clause,[],[f644,f1309,f2116]) ).
fof(f644,plain,
( ~ sP0
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f290]) ).
fof(f3155,plain,
( ~ spl140_296
| ~ spl140_36 ),
inference(avatar_split_clause,[],[f3154,f1411,f2681]) ).
fof(f1411,plain,
( spl140_36
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_36])]) ).
fof(f3154,plain,
( ~ sP31
| e1 != op(e3,e2) ),
inference(subsumption_resolution,[],[f569,f1205]) ).
fof(f569,plain,
( ~ sP31
| e2 = unit
| e1 != op(e3,e2) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e2 = op(e3,e1)
& ( e2 = unit
| e1 != op(e3,e2) ) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f3142,plain,
( spl140_226
| spl140_14
| spl140_154
| spl140_149
| spl140_205 ),
inference(avatar_split_clause,[],[f914,f2141,f1898,f1922,f1318,f2234]) ).
fof(f914,plain,
( e4 = op(e2,e3)
| e4 = op(unit,e3)
| e4 = op(e1,e3)
| e4 = op(e3,e3)
| e4 = op(e4,e3) ),
inference(definition_unfolding,[],[f326,f899]) ).
fof(f326,plain,
( e4 = op(e3,e3)
| e4 = op(e4,e3)
| e4 = op(e0,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3141,plain,
( spl140_293
| spl140_106
| spl140_326
| spl140_187
| spl140_91 ),
inference(avatar_split_clause,[],[f936,f1640,f2060,f2951,f1709,f2660]) ).
fof(f2951,plain,
( spl140_326
<=> unit = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_326])]) ).
fof(f936,plain,
( op(e1,e2) = unit
| op(e1,e1) = unit
| unit = op(e1,unit)
| op(e1,e3) = unit
| op(e1,e4) = unit ),
inference(definition_unfolding,[],[f304,f899,f899,f899,f899,f899,f899]) ).
fof(f304,plain,
( e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e3)
| e0 = op(e1,e4)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3136,plain,
( spl140_17
| ~ spl140_167 ),
inference(avatar_split_clause,[],[f521,f1978,f1331]) ).
fof(f1978,plain,
( spl140_167
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_167])]) ).
fof(f521,plain,
( ~ sP55
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( ( e1 = unit
| e3 != op(e1,e1) )
& e1 = op(e1,e3) )
| ~ sP55 ),
inference(nnf_transformation,[],[f65]) ).
fof(f3135,plain,
( spl140_15
| ~ spl140_140 ),
inference(avatar_split_clause,[],[f3134,f1857,f1323]) ).
fof(f1857,plain,
( spl140_140
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_140])]) ).
fof(f3134,plain,
( ~ sP98
| e3 = unit ),
inference(forward_demodulation,[],[f984,f1234]) ).
fof(f984,plain,
( ~ sP98
| e3 = op(unit,unit) ),
inference(definition_unfolding,[],[f436,f899,f899]) ).
fof(f436,plain,
( op(e0,e0) = e3
| ~ sP98 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( op(e0,e0) = e3
& e0 != op(e0,e3) )
| ~ sP98 ),
inference(nnf_transformation,[],[f108]) ).
fof(f3133,plain,
( spl140_274
| spl140_264
| spl140_293
| spl140_306
| spl140_155 ),
inference(avatar_split_clause,[],[f1209,f1926,f2752,f2660,f2457,f2505]) ).
fof(f1209,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| op(e1,e4) = unit
| e1 = op(e1,e4)
| e2 = op(e1,e4) ),
inference(definition_unfolding,[],[f886,f899]) ).
fof(f886,plain,
( e3 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4)
| e2 = op(e1,e4)
| e4 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3132,plain,
~ spl140_234,
inference(avatar_split_clause,[],[f3131,f2284]) ).
fof(f2284,plain,
( spl140_234
<=> e2 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_234])]) ).
fof(f3131,plain,
e2 != op(e4,e2),
inference(forward_demodulation,[],[f1193,f895]) ).
fof(f1193,plain,
op(e4,e2) != op(unit,e2),
inference(definition_unfolding,[],[f773,f899]) ).
fof(f773,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f3120,plain,
( ~ spl140_8
| ~ spl140_337
| spl140_338 ),
inference(avatar_split_clause,[],[f402,f3117,f3113,f1292]) ).
fof(f1292,plain,
( spl140_8
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_8])]) ).
fof(f402,plain,
( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1))
| ~ sP114 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( ( e1 = op(e1,op(e1,e1))
| e1 != op(e1,op(e1,e1)) )
& ( e0 != op(e1,op(e0,e1))
| e1 = op(e0,op(e0,e1)) )
& ( e1 = op(e4,op(e4,e1))
| e4 != op(e1,op(e4,e1)) )
& ( e1 = op(e3,op(e3,e1))
| e3 != op(e1,op(e3,e1)) )
& ( e2 != op(e1,op(e2,e1))
| e1 = op(e2,op(e2,e1)) ) )
| ~ sP114 ),
inference(nnf_transformation,[],[f124]) ).
fof(f3110,plain,
spl140_201,
inference(avatar_split_clause,[],[f893,f2122]) ).
fof(f893,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3109,plain,
( spl140_243
| spl140_277
| spl140_208
| spl140_307
| spl140_299 ),
inference(avatar_split_clause,[],[f941,f2702,f2795,f2158,f2531,f2336]) ).
fof(f941,plain,
( e1 = op(e4,e1)
| e1 = op(e4,e3)
| e1 = op(e4,e4)
| e1 = op(e4,e2)
| e1 = op(e4,unit) ),
inference(definition_unfolding,[],[f299,f899]) ).
fof(f299,plain,
( e1 = op(e4,e0)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3107,plain,
~ spl140_15,
inference(avatar_split_clause,[],[f3106,f1323]) ).
fof(f3106,plain,
e3 != unit,
inference(forward_demodulation,[],[f3105,f888]) ).
fof(f3105,plain,
unit != op(e3,unit),
inference(forward_demodulation,[],[f1166,f1234]) ).
fof(f1166,plain,
op(e3,unit) != op(unit,unit),
inference(definition_unfolding,[],[f824,f899,f899,f899]) ).
fof(f824,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f3099,plain,
( spl140_140
| spl140_136
| spl140_38
| spl140_95
| spl140_119
| spl140_135
| spl140_132
| spl140_200
| spl140_127
| spl140_141
| spl140_131
| spl140_1
| spl140_139
| spl140_129
| spl140_137
| spl140_128
| spl140_112
| spl140_130
| spl140_13
| spl140_134
| spl140_133
| spl140_126
| spl140_138
| spl140_121 ),
inference(avatar_split_clause,[],[f3098,f1776,f1849,f1801,f1829,f1833,f1314,f1817,f1735,f1809,f1845,f1813,f1853,f1262,f1821,f1861,f1805,f2116,f1825,f1837,f1767,f1658,f1419,f1841,f1857]) ).
fof(f1841,plain,
( spl140_136
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_136])]) ).
fof(f1658,plain,
( spl140_95
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_95])]) ).
fof(f1767,plain,
( spl140_119
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_119])]) ).
fof(f1837,plain,
( spl140_135
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_135])]) ).
fof(f1825,plain,
( spl140_132
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_132])]) ).
fof(f1805,plain,
( spl140_127
<=> sP112 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_127])]) ).
fof(f1861,plain,
( spl140_141
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_141])]) ).
fof(f1821,plain,
( spl140_131
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_131])]) ).
fof(f1262,plain,
( spl140_1
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_1])]) ).
fof(f1853,plain,
( spl140_139
<=> sP104 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_139])]) ).
fof(f1813,plain,
( spl140_129
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_129])]) ).
fof(f1845,plain,
( spl140_137
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_137])]) ).
fof(f1809,plain,
( spl140_128
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_128])]) ).
fof(f1735,plain,
( spl140_112
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_112])]) ).
fof(f1314,plain,
( spl140_13
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_13])]) ).
fof(f1833,plain,
( spl140_134
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_134])]) ).
fof(f1829,plain,
( spl140_133
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_133])]) ).
fof(f1801,plain,
( spl140_126
<=> sP110 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_126])]) ).
fof(f1849,plain,
( spl140_138
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_138])]) ).
fof(f3098,plain,
( sP111
| sP95
| sP110
| sP113
| sP105
| sP96
| sP106
| sP92
| sP99
| sP100
| sP107
| sP104
| sP97
| sP93
| sP103
| sP112
| e2 = op(e4,e4)
| sP108
| sP109
| sP101
| sP102
| e4 = op(e2,e2)
| sP94
| sP98 ),
inference(subsumption_resolution,[],[f1096,f888]) ).
fof(f1096,plain,
( sP94
| e3 != op(e3,unit)
| sP101
| sP108
| sP98
| sP103
| sP92
| e2 = op(e4,e4)
| sP107
| sP112
| sP104
| sP96
| sP102
| sP106
| sP113
| sP109
| sP93
| sP110
| sP100
| e4 = op(e2,e2)
| sP99
| sP111
| sP105
| sP97
| sP95 ),
inference(definition_unfolding,[],[f732,f899]) ).
fof(f732,plain,
( e4 = op(e2,e2)
| e3 != op(e3,e0)
| e2 = op(e4,e4)
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92 ),
inference(cnf_transformation,[],[f150]) ).
fof(f3095,plain,
( ~ spl140_335
| spl140_336
| ~ spl140_5 ),
inference(avatar_split_clause,[],[f396,f1280,f3092,f3088]) ).
fof(f1280,plain,
( spl140_5
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_5])]) ).
fof(f396,plain,
( ~ sP115
| e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( ( e3 = op(e0,op(e0,e3))
| e0 != op(e3,op(e0,e3)) )
& ( e3 = op(e3,op(e3,e3))
| e3 != op(e3,op(e3,e3)) )
& ( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3)) )
& ( e3 = op(e1,op(e1,e3))
| e1 != op(e3,op(e1,e3)) )
& ( e2 != op(e3,op(e2,e3))
| e3 = op(e2,op(e2,e3)) ) )
| ~ sP115 ),
inference(nnf_transformation,[],[f125]) ).
fof(f3085,plain,
( spl140_178
| spl140_142
| spl140_278
| spl140_272
| spl140_244 ),
inference(avatar_split_clause,[],[f920,f2340,f2496,f2538,f1866,f2023]) ).
fof(f920,plain,
( e3 = op(e4,unit)
| e3 = op(e4,e1)
| e3 = op(e4,e2)
| e3 = op(e4,e4)
| e3 = op(e4,e3) ),
inference(definition_unfolding,[],[f320,f899]) ).
fof(f320,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e4)
| e3 = op(e4,e0)
| e3 = op(e4,e3)
| e3 = op(e4,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3084,plain,
~ spl140_303,
inference(avatar_split_clause,[],[f3083,f2728]) ).
fof(f2728,plain,
( spl140_303
<=> e3 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_303])]) ).
fof(f3083,plain,
e3 != op(e2,unit),
inference(forward_demodulation,[],[f1189,f888]) ).
fof(f1189,plain,
op(e2,unit) != op(e3,unit),
inference(definition_unfolding,[],[f779,f899,f899]) ).
fof(f779,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f3080,plain,
( spl140_237
| ~ spl140_30 ),
inference(avatar_split_clause,[],[f578,f1387,f2302]) ).
fof(f1387,plain,
( spl140_30
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_30])]) ).
fof(f578,plain,
( ~ sP27
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e2 = op(e1,e1)
& ( e1 != op(e1,e2)
| e2 = unit ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f3077,plain,
( ~ spl140_333
| spl140_9
| spl140_5
| spl140_7
| spl140_8
| spl140_334 ),
inference(avatar_split_clause,[],[f739,f3074,f1292,f1288,f1280,f1296,f3070]) ).
fof(f1296,plain,
( spl140_9
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_9])]) ).
fof(f1288,plain,
( spl140_7
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_7])]) ).
fof(f739,plain,
( e2 = op(e1,op(e1,e2))
| sP114
| sP116
| sP115
| sP117
| e1 != op(e2,op(e1,e2)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f3068,plain,
( ~ spl140_175
| spl140_92 ),
inference(avatar_split_clause,[],[f497,f1644,f2010]) ).
fof(f2010,plain,
( spl140_175
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_175])]) ).
fof(f497,plain,
( e1 = op(e1,e2)
| ~ sP67 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( ( e1 = unit
| e2 != op(e1,e1) )
& e1 = op(e1,e2) )
| ~ sP67 ),
inference(nnf_transformation,[],[f77]) ).
fof(f3067,plain,
( spl140_198
| ~ spl140_200
| ~ spl140_38 ),
inference(avatar_split_clause,[],[f680,f1419,f2116,f2106]) ).
fof(f680,plain,
( e4 != op(e2,e2)
| e2 != op(e4,e4)
| e2 = op(e2,e4) ),
inference(cnf_transformation,[],[f150]) ).
fof(f3066,plain,
( spl140_123
| spl140_198
| spl140_159
| spl140_210
| spl140_302 ),
inference(avatar_split_clause,[],[f1219,f2724,f2169,f1946,f2106,f1786]) ).
fof(f1219,plain,
( e3 = op(e2,e4)
| e4 = op(e2,e4)
| e1 = op(e2,e4)
| e2 = op(e2,e4)
| op(e2,e4) = unit ),
inference(definition_unfolding,[],[f876,f899]) ).
fof(f876,plain,
( e0 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4)
| e4 = op(e2,e4)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3065,plain,
( spl140_234
| spl140_3
| spl140_277
| spl140_278
| spl140_325 ),
inference(avatar_split_clause,[],[f1224,f2946,f2538,f2531,f1271,f2284]) ).
fof(f1224,plain,
( op(e4,e2) = unit
| e3 = op(e4,e2)
| e1 = op(e4,e2)
| e4 = op(e4,e2)
| e2 = op(e4,e2) ),
inference(definition_unfolding,[],[f871,f899]) ).
fof(f871,plain,
( e0 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e1 = op(e4,e2)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3064,plain,
( spl140_243
| ~ spl140_115 ),
inference(avatar_split_clause,[],[f1043,f1749,f2336]) ).
fof(f1749,plain,
( spl140_115
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_115])]) ).
fof(f1043,plain,
( ~ sP58
| e1 = op(e4,unit) ),
inference(definition_unfolding,[],[f515,f899]) ).
fof(f515,plain,
( e1 = op(e4,e0)
| ~ sP58 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( ( e0 != op(e4,e1)
| e1 = unit )
& e1 = op(e4,e0) )
| ~ sP58 ),
inference(nnf_transformation,[],[f68]) ).
fof(f3057,plain,
( spl140_236
| spl140_204
| spl140_17
| spl140_21
| spl140_307 ),
inference(avatar_split_clause,[],[f923,f2795,f1349,f1331,f2137,f2294]) ).
fof(f923,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3)
| e1 = op(unit,e3) ),
inference(definition_unfolding,[],[f317,f899]) ).
fof(f317,plain,
( e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e3,e3)
| e1 = op(e4,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3056,plain,
( spl140_203
| ~ spl140_34 ),
inference(avatar_split_clause,[],[f542,f1403,f2133]) ).
fof(f1403,plain,
( spl140_34
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_34])]) ).
fof(f542,plain,
( ~ sP45
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( e2 = op(e2,e3)
& ( e3 != op(e2,e2)
| e2 = unit ) )
| ~ sP45 ),
inference(nnf_transformation,[],[f55]) ).
fof(f3055,plain,
~ spl140_239,
inference(avatar_split_clause,[],[f858,f2313]) ).
fof(f858,plain,
e1 != e3,
inference(cnf_transformation,[],[f6]) ).
fof(f3054,plain,
( spl140_50
| ~ spl140_136 ),
inference(avatar_split_clause,[],[f3053,f1841,f1469]) ).
fof(f3053,plain,
( ~ sP94
| e1 = unit ),
inference(forward_demodulation,[],[f991,f1234]) ).
fof(f991,plain,
( e1 = op(unit,unit)
| ~ sP94 ),
inference(definition_unfolding,[],[f443,f899,f899]) ).
fof(f443,plain,
( op(e0,e0) = e1
| ~ sP94 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ~ sP94 ),
inference(nnf_transformation,[],[f104]) ).
fof(f3052,plain,
( spl140_116
| spl140_97
| spl140_325
| spl140_47
| spl140_242 ),
inference(avatar_split_clause,[],[f926,f2332,f1456,f2946,f1667,f1753]) ).
fof(f2332,plain,
( spl140_242
<=> unit = op(e4,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_242])]) ).
fof(f926,plain,
( unit = op(e4,unit)
| op(e4,e4) = unit
| op(e4,e2) = unit
| op(e4,e3) = unit
| op(e4,e1) = unit ),
inference(definition_unfolding,[],[f314,f899,f899,f899,f899,f899,f899]) ).
fof(f314,plain,
( e0 = op(e4,e0)
| e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e1)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3051,plain,
( ~ spl140_70
| spl140_15 ),
inference(avatar_split_clause,[],[f3050,f1323,f1553]) ).
fof(f1553,plain,
( spl140_70
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_70])]) ).
fof(f3050,plain,
( e3 = unit
| ~ sP17 ),
inference(forward_demodulation,[],[f1078,f1234]) ).
fof(f1078,plain,
( e3 = op(unit,unit)
| ~ sP17 ),
inference(definition_unfolding,[],[f598,f899,f899]) ).
fof(f598,plain,
( op(e0,e0) = e3
| ~ sP17 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
( ( op(e0,e0) = e3
& ( e3 = unit
| e0 != op(e0,e3) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f3038,plain,
( spl140_9
| spl140_5
| spl140_7
| spl140_8
| spl140_329
| ~ spl140_330 ),
inference(avatar_split_clause,[],[f738,f3035,f3031,f1292,f1288,f1280,f1296]) ).
fof(f738,plain,
( e3 != op(e2,op(e3,e2))
| e2 = op(e3,op(e3,e2))
| sP114
| sP116
| sP115
| sP117 ),
inference(cnf_transformation,[],[f150]) ).
fof(f3029,plain,
( ~ spl140_103
| spl140_264 ),
inference(avatar_split_clause,[],[f505,f2457,f1695]) ).
fof(f1695,plain,
( spl140_103
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_103])]) ).
fof(f505,plain,
( e1 = op(e1,e4)
| ~ sP63 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( ( e4 != op(e1,e1)
| e1 = unit )
& e1 = op(e1,e4) )
| ~ sP63 ),
inference(nnf_transformation,[],[f73]) ).
fof(f3028,plain,
~ spl140_326,
inference(avatar_split_clause,[],[f3027,f2951]) ).
fof(f3027,plain,
unit != op(e1,unit),
inference(forward_demodulation,[],[f1165,f1234]) ).
fof(f1165,plain,
op(e1,unit) != op(unit,unit),
inference(definition_unfolding,[],[f827,f899,f899,f899]) ).
fof(f827,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f3026,plain,
( ~ spl140_49
| spl140_51 ),
inference(avatar_split_clause,[],[f503,f1473,f1465]) ).
fof(f1465,plain,
( spl140_49
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_49])]) ).
fof(f503,plain,
( e1 = op(e1,e1)
| ~ sP64 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( ( e1 = unit
| e1 != op(e1,e1) )
& e1 = op(e1,e1) )
| ~ sP64 ),
inference(nnf_transformation,[],[f74]) ).
fof(f3025,plain,
( spl140_87
| spl140_279
| spl140_296
| spl140_257 ),
inference(avatar_split_clause,[],[f3024,f2417,f2681,f2542,f1623]) ).
fof(f2542,plain,
( spl140_279
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_279])]) ).
fof(f3024,plain,
( e4 = op(e3,e2)
| e1 = op(e3,e2)
| e3 = op(e3,e2)
| op(e3,e2) = unit ),
inference(subsumption_resolution,[],[f1215,f2548]) ).
fof(f2548,plain,
e2 != op(e3,e2),
inference(forward_demodulation,[],[f1152,f895]) ).
fof(f1152,plain,
op(e3,e2) != op(unit,e2),
inference(definition_unfolding,[],[f851,f899]) ).
fof(f851,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f1215,plain,
( op(e3,e2) = unit
| e1 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| e2 = op(e3,e2) ),
inference(definition_unfolding,[],[f880,f899]) ).
fof(f880,plain,
( e2 = op(e3,e2)
| e4 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3020,plain,
( spl140_11
| ~ spl140_39 ),
inference(avatar_split_clause,[],[f555,f1423,f1305]) ).
fof(f1423,plain,
( spl140_39
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_39])]) ).
fof(f555,plain,
( ~ sP38
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( ( e3 != op(e3,e2)
| e2 = unit )
& e2 = op(e3,e3) )
| ~ sP38 ),
inference(nnf_transformation,[],[f48]) ).
fof(f3018,plain,
( spl140_154
| spl140_17
| spl140_235
| spl140_84
| spl140_106 ),
inference(avatar_split_clause,[],[f1220,f1709,f1609,f2289,f1331,f1922]) ).
fof(f1220,plain,
( op(e1,e3) = unit
| e2 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3)
| e4 = op(e1,e3) ),
inference(definition_unfolding,[],[f875,f899]) ).
fof(f875,plain,
( e1 = op(e1,e3)
| e2 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3017,plain,
~ spl140_33,
inference(avatar_split_clause,[],[f3016,f1399]) ).
fof(f1399,plain,
( spl140_33
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_33])]) ).
fof(f3016,plain,
~ sP35,
inference(subsumption_resolution,[],[f3015,f854]) ).
fof(f3015,plain,
( e2 = e3
| ~ sP35 ),
inference(forward_demodulation,[],[f1066,f888]) ).
fof(f1066,plain,
( ~ sP35
| e2 = op(e3,unit) ),
inference(definition_unfolding,[],[f562,f899]) ).
fof(f562,plain,
( e2 = op(e3,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ( e2 = op(e3,e0)
& ( e2 = unit
| e0 != op(e3,e2) ) )
| ~ sP35 ),
inference(nnf_transformation,[],[f45]) ).
fof(f3014,plain,
( spl140_8
| spl140_327
| spl140_7
| spl140_9
| spl140_5
| ~ spl140_328 ),
inference(avatar_split_clause,[],[f740,f3011,f1280,f1296,f1288,f3007,f1292]) ).
fof(f740,plain,
( e4 != op(e2,op(e4,e2))
| sP115
| sP117
| sP116
| e2 = op(e4,op(e4,e2))
| sP114 ),
inference(cnf_transformation,[],[f150]) ).
fof(f3005,plain,
~ spl140_238,
inference(avatar_split_clause,[],[f3004,f2307]) ).
fof(f2307,plain,
( spl140_238
<=> unit = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_238])]) ).
fof(f3004,plain,
unit != op(unit,e1),
inference(forward_demodulation,[],[f1169,f1234]) ).
fof(f1169,plain,
op(unit,e1) != op(unit,unit),
inference(definition_unfolding,[],[f816,f899,f899,f899]) ).
fof(f816,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f3003,plain,
( ~ spl140_71
| spl140_279 ),
inference(avatar_split_clause,[],[f590,f2542,f1557]) ).
fof(f1557,plain,
( spl140_71
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_71])]) ).
fof(f590,plain,
( e3 = op(e3,e2)
| ~ sP21 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e3 = op(e3,e2)
& ( e2 != op(e3,e3)
| e3 = unit ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f3002,plain,
( spl140_21
| spl140_11
| spl140_102
| spl140_107
| spl140_14 ),
inference(avatar_split_clause,[],[f1208,f1318,f1713,f1690,f1305,f1349]) ).
fof(f1690,plain,
( spl140_102
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_102])]) ).
fof(f1208,plain,
( e4 = op(e3,e3)
| op(e3,e3) = unit
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) ),
inference(definition_unfolding,[],[f887,f899]) ).
fof(f887,plain,
( e0 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3)
| e1 = op(e3,e3)
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3001,plain,
( ~ spl140_170
| ~ spl140_124
| spl140_50 ),
inference(avatar_split_clause,[],[f508,f1469,f1791,f1990]) ).
fof(f1990,plain,
( spl140_170
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_170])]) ).
fof(f508,plain,
( e1 = unit
| e4 != op(e3,e1)
| ~ sP62 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( ( e1 = unit
| e4 != op(e3,e1) )
& e1 = op(e3,e4) )
| ~ sP62 ),
inference(nnf_transformation,[],[f72]) ).
fof(f2999,plain,
( ~ spl140_56
| ~ spl140_20 ),
inference(avatar_split_clause,[],[f627,f1345,f1495]) ).
fof(f627,plain,
( e3 != op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( ( e3 != op(e3,e3)
& e3 != op(e2,e2)
& e3 != op(e1,e1)
& e3 != op(e4,e4)
& op(e0,e0) != e3 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f2997,plain,
( spl140_262
| ~ spl140_31 ),
inference(avatar_split_clause,[],[f1052,f1391,f2445]) ).
fof(f1391,plain,
( spl140_31
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_31])]) ).
fof(f1052,plain,
( ~ sP47
| e2 = op(unit,e3) ),
inference(definition_unfolding,[],[f538,f899]) ).
fof(f538,plain,
( e2 = op(e0,e3)
| ~ sP47 ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( ( e2 = op(e0,e3)
& ( e3 != op(e0,e2)
| e2 = unit ) )
| ~ sP47 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2994,plain,
( spl140_205
| ~ spl140_212 ),
inference(avatar_split_clause,[],[f376,f2177,f2141]) ).
fof(f2177,plain,
( spl140_212
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_212])]) ).
fof(f376,plain,
( ~ sP122
| e4 = op(e2,e3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( ( e4 = op(e2,e3)
& ( e4 = unit
| e3 != op(e2,e4) ) )
| ~ sP122 ),
inference(nnf_transformation,[],[f132]) ).
fof(f2990,plain,
( ~ spl140_25
| ~ spl140_257 ),
inference(avatar_split_clause,[],[f2989,f2417,f1367]) ).
fof(f2989,plain,
( e4 != op(e3,e2)
| ~ sP28 ),
inference(subsumption_resolution,[],[f576,f1205]) ).
fof(f576,plain,
( e2 = unit
| ~ sP28
| e4 != op(e3,e2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f2985,plain,
( spl140_302
| ~ spl140_79 ),
inference(avatar_split_clause,[],[f591,f1589,f2724]) ).
fof(f1589,plain,
( spl140_79
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_79])]) ).
fof(f591,plain,
( ~ sP20
| e3 = op(e2,e4) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( ( e3 = unit
| e4 != op(e2,e3) )
& e3 = op(e2,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f2982,plain,
( spl140_21
| ~ spl140_176 ),
inference(avatar_split_clause,[],[f523,f2014,f1349]) ).
fof(f2014,plain,
( spl140_176
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_176])]) ).
fof(f523,plain,
( ~ sP54
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( ( e1 = unit
| e3 != op(e3,e1) )
& e1 = op(e3,e3) )
| ~ sP54 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2980,plain,
~ spl140_207,
inference(avatar_split_clause,[],[f2979,f2152]) ).
fof(f2152,plain,
( spl140_207
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_207])]) ).
fof(f2979,plain,
e3 != op(e3,e1),
inference(forward_demodulation,[],[f1172,f888]) ).
fof(f1172,plain,
op(e3,e1) != op(e3,unit),
inference(definition_unfolding,[],[f812,f899]) ).
fof(f812,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f2978,plain,
~ spl140_143,
inference(avatar_split_clause,[],[f2977,f1870]) ).
fof(f2977,plain,
e3 != op(e3,e4),
inference(forward_demodulation,[],[f1153,f888]) ).
fof(f1153,plain,
op(e3,e4) != op(e3,unit),
inference(definition_unfolding,[],[f850,f899]) ).
fof(f850,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f2975,plain,
~ spl140_40,
inference(avatar_split_clause,[],[f2974,f1427]) ).
fof(f1427,plain,
( spl140_40
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_40])]) ).
fof(f2974,plain,
e2 != op(e2,e2),
inference(forward_demodulation,[],[f1183,f895]) ).
fof(f1183,plain,
op(e2,e2) != op(unit,e2),
inference(definition_unfolding,[],[f786,f899]) ).
fof(f786,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f2973,plain,
( spl140_281
| ~ spl140_213 ),
inference(avatar_split_clause,[],[f352,f2181,f2558]) ).
fof(f2181,plain,
( spl140_213
<=> sP134 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_213])]) ).
fof(f352,plain,
( ~ sP134
| e4 = op(e2,e1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e4 = op(e2,e1)
& ( e1 != op(e2,e4)
| e4 = unit ) )
| ~ sP134 ),
inference(nnf_transformation,[],[f144]) ).
fof(f2972,plain,
( ~ spl140_265
| spl140_60
| ~ spl140_125 ),
inference(avatar_split_clause,[],[f355,f1795,f1512,f2461]) ).
fof(f1795,plain,
( spl140_125
<=> sP132 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_125])]) ).
fof(f355,plain,
( ~ sP132
| e4 = unit
| e1 != op(e3,e4) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e4 = op(e3,e1)
& ( e1 != op(e3,e4)
| e4 = unit ) )
| ~ sP132 ),
inference(nnf_transformation,[],[f142]) ).
fof(f2970,plain,
( ~ spl140_142
| spl140_226
| ~ spl140_14 ),
inference(avatar_split_clause,[],[f670,f1318,f2234,f1866]) ).
fof(f670,plain,
( e4 != op(e3,e3)
| e4 = op(e4,e3)
| e3 != op(e4,e4) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2969,plain,
( spl140_226
| ~ spl140_144 ),
inference(avatar_split_clause,[],[f377,f1875,f2234]) ).
fof(f1875,plain,
( spl140_144
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_144])]) ).
fof(f377,plain,
( ~ sP121
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ( ( e3 != op(e4,e4)
| e4 = unit )
& e4 = op(e4,e3) )
| ~ sP121 ),
inference(nnf_transformation,[],[f131]) ).
fof(f2966,plain,
( spl140_117
| ~ spl140_127 ),
inference(avatar_split_clause,[],[f407,f1805,f1758]) ).
fof(f407,plain,
( ~ sP112
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP112 ),
inference(nnf_transformation,[],[f122]) ).
fof(f2962,plain,
( spl140_307
| ~ spl140_168 ),
inference(avatar_split_clause,[],[f518,f1982,f2795]) ).
fof(f1982,plain,
( spl140_168
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_168])]) ).
fof(f518,plain,
( ~ sP57
| e1 = op(e4,e3) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( e1 = op(e4,e3)
& ( e1 = unit
| e3 != op(e4,e1) ) )
| ~ sP57 ),
inference(nnf_transformation,[],[f67]) ).
fof(f2958,plain,
( spl140_84
| ~ spl140_45 ),
inference(avatar_split_clause,[],[f580,f1447,f1609]) ).
fof(f1447,plain,
( spl140_45
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_45])]) ).
fof(f580,plain,
( ~ sP26
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( e2 = op(e1,e3)
& ( e2 = unit
| e3 != op(e1,e2) ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f2954,plain,
( spl140_153
| spl140_263
| spl140_310
| spl140_326
| spl140_273 ),
inference(avatar_split_clause,[],[f1211,f2501,f2951,f2818,f2450,f1918]) ).
fof(f1211,plain,
( e2 = op(e1,unit)
| unit = op(e1,unit)
| e3 = op(e1,unit)
| e1 = op(e1,unit)
| e4 = op(e1,unit) ),
inference(definition_unfolding,[],[f884,f899,f899,f899,f899,f899,f899]) ).
fof(f884,plain,
( e3 = op(e1,e0)
| e0 = op(e1,e0)
| e4 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2944,plain,
spl140_48,
inference(avatar_split_clause,[],[f897,f1460]) ).
fof(f897,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2943,plain,
( ~ spl140_302
| ~ spl140_212
| spl140_60 ),
inference(avatar_split_clause,[],[f375,f1512,f2177,f2724]) ).
fof(f375,plain,
( e4 = unit
| ~ sP122
| e3 != op(e2,e4) ),
inference(cnf_transformation,[],[f168]) ).
fof(f2938,plain,
( spl140_60
| ~ spl140_206
| ~ spl140_274 ),
inference(avatar_split_clause,[],[f384,f2505,f2147,f1512]) ).
fof(f2147,plain,
( spl140_206
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_206])]) ).
fof(f384,plain,
( e2 != op(e1,e4)
| ~ sP118
| e4 = unit ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( ( e2 != op(e1,e4)
| e4 = unit )
& e4 = op(e1,e2) )
| ~ sP118 ),
inference(nnf_transformation,[],[f128]) ).
fof(f2937,plain,
( spl140_239
| spl140_246
| spl140_296
| spl140_21
| spl140_265 ),
inference(avatar_split_clause,[],[f2936,f2461,f1349,f2681,f2350,f2313]) ).
fof(f2936,plain,
( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = e3 ),
inference(forward_demodulation,[],[f939,f888]) ).
fof(f939,plain,
( e1 = op(e3,e1)
| e1 = op(e3,unit)
| e1 = op(e3,e3)
| e1 = op(e3,e4)
| e1 = op(e3,e2) ),
inference(definition_unfolding,[],[f301,f899]) ).
fof(f301,plain,
( e1 = op(e3,e4)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2934,plain,
( spl140_306
| ~ spl140_82 ),
inference(avatar_split_clause,[],[f613,f1601,f2752]) ).
fof(f1601,plain,
( spl140_82
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_82])]) ).
fof(f613,plain,
( ~ sP9
| e3 = op(e1,e4) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
( ( ( e3 = unit
| e4 != op(e1,e3) )
& e3 = op(e1,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f2930,plain,
( ~ spl140_272
| spl140_50
| ~ spl140_168 ),
inference(avatar_split_clause,[],[f517,f1982,f1469,f2496]) ).
fof(f517,plain,
( ~ sP57
| e1 = unit
| e3 != op(e4,e1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f2926,plain,
~ spl140_279,
inference(avatar_split_clause,[],[f2925,f2542]) ).
fof(f2925,plain,
e3 != op(e3,e2),
inference(forward_demodulation,[],[f1185,f888]) ).
fof(f1185,plain,
op(e3,e2) != op(e3,unit),
inference(definition_unfolding,[],[f784,f899]) ).
fof(f784,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f2914,plain,
~ spl140_244,
inference(avatar_split_clause,[],[f2913,f2340]) ).
fof(f2913,plain,
e3 != op(e4,unit),
inference(forward_demodulation,[],[f1199,f888]) ).
fof(f1199,plain,
op(e3,unit) != op(e4,unit),
inference(definition_unfolding,[],[f762,f899,f899]) ).
fof(f762,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f2912,plain,
~ spl140_60,
inference(avatar_split_clause,[],[f1204,f1512]) ).
fof(f1204,plain,
e4 != unit,
inference(definition_unfolding,[],[f860,f899]) ).
fof(f860,plain,
e0 != e4,
inference(cnf_transformation,[],[f6]) ).
fof(f2911,plain,
~ spl140_230,
inference(avatar_split_clause,[],[f2910,f2262]) ).
fof(f2262,plain,
( spl140_230
<=> unit = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_230])]) ).
fof(f2910,plain,
unit != op(e2,unit),
inference(forward_demodulation,[],[f1196,f1234]) ).
fof(f1196,plain,
op(e2,unit) != op(unit,unit),
inference(definition_unfolding,[],[f767,f899,f899,f899]) ).
fof(f767,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f2909,plain,
( spl140_272
| spl140_64
| spl140_207
| spl140_233
| spl140_20 ),
inference(avatar_split_clause,[],[f930,f1345,f2276,f2152,f1529,f2496]) ).
fof(f930,plain,
( e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1)
| e3 = op(unit,e1)
| e3 = op(e4,e1) ),
inference(definition_unfolding,[],[f310,f899]) ).
fof(f310,plain,
( e3 = op(e0,e1)
| e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2908,plain,
( ~ spl140_63
| spl140_15
| ~ spl140_204 ),
inference(avatar_split_clause,[],[f612,f2137,f1323,f1525]) ).
fof(f1525,plain,
( spl140_63
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_63])]) ).
fof(f612,plain,
( e1 != op(e2,e3)
| e3 = unit
| ~ sP10 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ( ( e3 = unit
| e1 != op(e2,e3) )
& e3 = op(e2,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f2907,plain,
( spl140_321
| ~ spl140_322
| ~ spl140_8 ),
inference(avatar_split_clause,[],[f401,f1292,f2904,f2900]) ).
fof(f401,plain,
( ~ sP114
| e3 != op(e1,op(e3,e1))
| e1 = op(e3,op(e3,e1)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f2898,plain,
~ spl140_310,
inference(avatar_split_clause,[],[f2897,f2818]) ).
fof(f2897,plain,
e3 != op(e1,unit),
inference(forward_demodulation,[],[f1168,f888]) ).
fof(f1168,plain,
op(e1,unit) != op(e3,unit),
inference(definition_unfolding,[],[f821,f899,f899]) ).
fof(f821,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f2896,plain,
( spl140_57
| spl140_56
| spl140_58
| spl140_12
| ~ spl140_38 ),
inference(avatar_split_clause,[],[f650,f1419,f1309,f1503,f1495,f1499]) ).
fof(f650,plain,
( e4 != op(e2,e2)
| sP0
| sP1
| sP3
| sP2 ),
inference(cnf_transformation,[],[f150]) ).
fof(f2895,plain,
( ~ spl140_162
| spl140_296 ),
inference(avatar_split_clause,[],[f519,f2681,f1958]) ).
fof(f1958,plain,
( spl140_162
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_162])]) ).
fof(f519,plain,
( e1 = op(e3,e2)
| ~ sP56 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( ( e1 = unit
| e2 != op(e3,e1) )
& e1 = op(e3,e2) )
| ~ sP56 ),
inference(nnf_transformation,[],[f66]) ).
fof(f2894,plain,
( spl140_319
| spl140_248
| ~ spl140_320 ),
inference(avatar_split_clause,[],[f737,f2891,f2360,f2887]) ).
fof(f737,plain,
( e4 != op(op(e4,e2),e2)
| op(e2,e4) = op(e4,e2)
| e2 = op(op(e4,e2),e4) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2885,plain,
( spl140_317
| ~ spl140_8
| ~ spl140_318 ),
inference(avatar_split_clause,[],[f400,f2882,f1292,f2878]) ).
fof(f400,plain,
( e2 != op(e1,op(e2,e1))
| ~ sP114
| e1 = op(e2,op(e2,e1)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f2876,plain,
( spl140_250
| ~ spl140_315
| spl140_316 ),
inference(avatar_split_clause,[],[f684,f2873,f2869,f2377]) ).
fof(f684,plain,
( e2 = op(op(e3,e2),e3)
| e3 != op(op(e3,e2),e2)
| op(e2,e3) = op(e3,e2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2867,plain,
( spl140_299
| ~ spl140_158 ),
inference(avatar_split_clause,[],[f495,f1942,f2702]) ).
fof(f1942,plain,
( spl140_158
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_158])]) ).
fof(f495,plain,
( ~ sP68
| e1 = op(e4,e1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( ( e1 = unit
| e1 != op(e4,e1) )
& e1 = op(e4,e1) )
| ~ sP68 ),
inference(nnf_transformation,[],[f78]) ).
fof(f2856,plain,
( ~ spl140_225
| spl140_60 ),
inference(avatar_split_clause,[],[f2855,f1512,f2229]) ).
fof(f2229,plain,
( spl140_225
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_225])]) ).
fof(f2855,plain,
( e4 = unit
| ~ sP124 ),
inference(forward_demodulation,[],[f964,f1234]) ).
fof(f964,plain,
( ~ sP124
| e4 = op(unit,unit) ),
inference(definition_unfolding,[],[f372,f899,f899]) ).
fof(f372,plain,
( op(e0,e0) = e4
| ~ sP124 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( op(e0,e0) = e4
& ( e4 = unit
| e0 != op(e0,e4) ) )
| ~ sP124 ),
inference(nnf_transformation,[],[f134]) ).
fof(f2853,plain,
spl140_202,
inference(avatar_split_clause,[],[f894,f2128]) ).
fof(f894,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f2852,plain,
( spl140_237
| ~ spl140_131 ),
inference(avatar_split_clause,[],[f446,f1821,f2302]) ).
fof(f446,plain,
( ~ sP93
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ~ sP93 ),
inference(nnf_transformation,[],[f103]) ).
fof(f2842,plain,
( spl140_116
| spl140_231
| spl140_238
| spl140_177
| spl140_187 ),
inference(avatar_split_clause,[],[f943,f2060,f2018,f2307,f2266,f1753]) ).
fof(f943,plain,
( op(e1,e1) = unit
| op(e3,e1) = unit
| unit = op(unit,e1)
| op(e2,e1) = unit
| op(e4,e1) = unit ),
inference(definition_unfolding,[],[f297,f899,f899,f899,f899,f899,f899]) ).
fof(f297,plain,
( e0 = op(e4,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2841,plain,
( spl140_210
| spl140_281
| spl140_38
| spl140_205
| spl140_114 ),
inference(avatar_split_clause,[],[f947,f1744,f2141,f1419,f2558,f2169]) ).
fof(f947,plain,
( e4 = op(e2,unit)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e4) ),
inference(definition_unfolding,[],[f293,f899]) ).
fof(f293,plain,
( e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e0)
| e4 = op(e2,e1)
| e4 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2840,plain,
( spl140_97
| spl140_178
| spl140_226
| spl140_105
| spl140_307 ),
inference(avatar_split_clause,[],[f1214,f2795,f1704,f2234,f2023,f1667]) ).
fof(f1214,plain,
( e1 = op(e4,e3)
| e2 = op(e4,e3)
| e4 = op(e4,e3)
| e3 = op(e4,e3)
| op(e4,e3) = unit ),
inference(definition_unfolding,[],[f881,f899]) ).
fof(f881,plain,
( e2 = op(e4,e3)
| e3 = op(e4,e3)
| e0 = op(e4,e3)
| e4 = op(e4,e3)
| e1 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2839,plain,
( ~ spl140_118
| spl140_92
| ~ spl140_237 ),
inference(avatar_split_clause,[],[f715,f2302,f1644,f1762]) ).
fof(f715,plain,
( e2 != op(e1,e1)
| e1 = op(e1,e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2838,plain,
( ~ spl140_170
| spl140_265 ),
inference(avatar_split_clause,[],[f507,f2461,f1990]) ).
fof(f507,plain,
( e1 = op(e3,e4)
| ~ sP62 ),
inference(cnf_transformation,[],[f228]) ).
fof(f2837,plain,
( spl140_209
| spl140_237
| spl140_286
| spl140_156
| spl140_228 ),
inference(avatar_split_clause,[],[f942,f2248,f1932,f2599,f2302,f2163]) ).
fof(f2248,plain,
( spl140_228
<=> e2 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_228])]) ).
fof(f942,plain,
( e2 = op(unit,e1)
| e2 = op(e4,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e3,e1) ),
inference(definition_unfolding,[],[f298,f899]) ).
fof(f298,plain,
( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e4,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2827,plain,
( ~ spl140_11
| ~ spl140_117
| spl140_203 ),
inference(avatar_split_clause,[],[f736,f2133,f1758,f1305]) ).
fof(f736,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2825,plain,
( ~ spl140_156
| ~ spl140_173
| spl140_50 ),
inference(avatar_split_clause,[],[f513,f1469,f2002,f1932]) ).
fof(f2002,plain,
( spl140_173
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_173])]) ).
fof(f513,plain,
( e1 = unit
| ~ sP59
| e2 != op(e4,e1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e1 = op(e4,e2)
& ( e1 = unit
| e2 != op(e4,e1) ) )
| ~ sP59 ),
inference(nnf_transformation,[],[f69]) ).
fof(f2824,plain,
( ~ spl140_163
| spl140_258 ),
inference(avatar_split_clause,[],[f1048,f2422,f1962]) ).
fof(f1962,plain,
( spl140_163
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_163])]) ).
fof(f1048,plain,
( e1 = op(unit,e4)
| ~ sP51 ),
inference(definition_unfolding,[],[f530,f899]) ).
fof(f530,plain,
( e1 = op(e0,e4)
| ~ sP51 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( ( e1 = op(e0,e4)
& ( e1 = unit
| e4 != op(e0,e1) ) )
| ~ sP51 ),
inference(nnf_transformation,[],[f61]) ).
fof(f2823,plain,
( spl140_235
| ~ spl140_74 ),
inference(avatar_split_clause,[],[f608,f1569,f2289]) ).
fof(f1569,plain,
( spl140_74
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_74])]) ).
fof(f608,plain,
( ~ sP12
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ( e3 = op(e1,e3)
& ( e3 = unit
| e3 != op(e1,e3) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f2821,plain,
( spl140_310
| ~ spl140_80 ),
inference(avatar_split_clause,[],[f1074,f1593,f2818]) ).
fof(f1593,plain,
( spl140_80
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_80])]) ).
fof(f1074,plain,
( ~ sP22
| e3 = op(e1,unit) ),
inference(definition_unfolding,[],[f588,f899]) ).
fof(f588,plain,
( e3 = op(e1,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ( e3 = op(e1,e0)
& ( e3 = unit
| e0 != op(e1,e3) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f2816,plain,
( spl140_308
| ~ spl140_309
| spl140_289 ),
inference(avatar_split_clause,[],[f743,f2631,f2813,f2809]) ).
fof(f743,plain,
( op(e1,e4) = op(e4,e1)
| e1 != op(op(e1,e4),e4)
| e4 = op(op(e1,e4),e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2803,plain,
~ spl140_58,
inference(avatar_split_clause,[],[f2802,f1503]) ).
fof(f2802,plain,
~ sP1,
inference(subsumption_resolution,[],[f1090,f1234]) ).
fof(f1090,plain,
( ~ sP1
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f635,f899,f899,f899]) ).
fof(f635,plain,
( e0 != op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
( ( e0 != op(e2,e2)
& e0 != op(e1,e1)
& e0 != op(e4,e4)
& e0 != op(e3,e3)
& e0 != op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f2798,plain,
( ~ spl140_81
| spl140_15
| ~ spl140_307 ),
inference(avatar_split_clause,[],[f623,f2795,f1323,f1597]) ).
fof(f1597,plain,
( spl140_81
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_81])]) ).
fof(f623,plain,
( e1 != op(e4,e3)
| e3 = unit
| ~ sP4 ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
( ( e3 = op(e4,e1)
& ( e3 = unit
| e1 != op(e4,e3) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f2792,plain,
( ~ spl140_199
| ~ spl140_47
| spl140_60 ),
inference(avatar_split_clause,[],[f961,f1512,f1456,f2111]) ).
fof(f2111,plain,
( spl140_199
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_199])]) ).
fof(f961,plain,
( e4 = unit
| op(e4,e4) != unit
| ~ sP126 ),
inference(definition_unfolding,[],[f367,f899]) ).
fof(f367,plain,
( e4 = unit
| e0 != op(e4,e4)
| ~ sP126 ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e4 = op(e4,e0)
& ( e4 = unit
| e0 != op(e4,e4) ) )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f2791,plain,
( spl140_272
| spl140_116
| spl140_156
| spl140_299
| spl140_271 ),
inference(avatar_split_clause,[],[f1213,f2491,f2702,f1932,f1753,f2496]) ).
fof(f1213,plain,
( e4 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1)
| op(e4,e1) = unit
| e3 = op(e4,e1) ),
inference(definition_unfolding,[],[f882,f899]) ).
fof(f882,plain,
( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e0 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2790,plain,
( spl140_303
| ~ spl140_65 ),
inference(avatar_split_clause,[],[f1072,f1533,f2728]) ).
fof(f1533,plain,
( spl140_65
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_65])]) ).
fof(f1072,plain,
( ~ sP23
| e3 = op(e2,unit) ),
inference(definition_unfolding,[],[f586,f899]) ).
fof(f586,plain,
( e3 = op(e2,e0)
| ~ sP23 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e3 = op(e2,e0)
& ( e3 = unit
| e0 != op(e2,e3) ) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f2787,plain,
~ spl140_102,
inference(avatar_split_clause,[],[f2786,f1690]) ).
fof(f2786,plain,
e3 != op(e3,e3),
inference(forward_demodulation,[],[f1175,f888]) ).
fof(f1175,plain,
op(e3,e3) != op(e3,unit),
inference(definition_unfolding,[],[f808,f899]) ).
fof(f808,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f2784,plain,
( spl140_15
| ~ spl140_79
| ~ spl140_205 ),
inference(avatar_split_clause,[],[f592,f2141,f1589,f1323]) ).
fof(f592,plain,
( e4 != op(e2,e3)
| ~ sP20
| e3 = unit ),
inference(cnf_transformation,[],[f270]) ).
fof(f2783,plain,
( ~ spl140_221
| spl140_287 ),
inference(avatar_split_clause,[],[f2782,f2615,f2213]) ).
fof(f2213,plain,
( spl140_221
<=> sP135 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_221])]) ).
fof(f2782,plain,
( e2 = e4
| ~ sP135 ),
inference(forward_demodulation,[],[f954,f895]) ).
fof(f954,plain,
( e4 = op(unit,e2)
| ~ sP135 ),
inference(definition_unfolding,[],[f350,f899]) ).
fof(f350,plain,
( e4 = op(e0,e2)
| ~ sP135 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e4 = op(e0,e2)
& ( e4 = unit
| e2 != op(e0,e4) ) )
| ~ sP135 ),
inference(nnf_transformation,[],[f145]) ).
fof(f2775,plain,
~ spl140_242,
inference(avatar_split_clause,[],[f2774,f2332]) ).
fof(f2774,plain,
unit != op(e4,unit),
inference(forward_demodulation,[],[f1177,f1234]) ).
fof(f1177,plain,
op(e4,unit) != op(unit,unit),
inference(definition_unfolding,[],[f804,f899,f899,f899]) ).
fof(f804,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f2771,plain,
~ spl140_35,
inference(avatar_split_clause,[],[f2770,f1407]) ).
fof(f1407,plain,
( spl140_35
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_35])]) ).
fof(f2770,plain,
~ sP34,
inference(subsumption_resolution,[],[f564,f2548]) ).
fof(f564,plain,
( e2 = op(e3,e2)
| ~ sP34 ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( e2 = op(e3,e2)
& ( e2 != op(e3,e2)
| e2 = unit ) )
| ~ sP34 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2769,plain,
( ~ spl140_278
| ~ spl140_37 ),
inference(avatar_split_clause,[],[f2768,f1415,f2538]) ).
fof(f1415,plain,
( spl140_37
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_37])]) ).
fof(f2768,plain,
( ~ sP43
| e3 != op(e4,e2) ),
inference(subsumption_resolution,[],[f545,f1205]) ).
fof(f545,plain,
( e2 = unit
| e3 != op(e4,e2)
| ~ sP43 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e2 = op(e4,e3)
& ( e3 != op(e4,e2)
| e2 = unit ) )
| ~ sP43 ),
inference(nnf_transformation,[],[f53]) ).
fof(f2767,plain,
( ~ spl140_173
| spl140_277 ),
inference(avatar_split_clause,[],[f514,f2531,f2002]) ).
fof(f514,plain,
( e1 = op(e4,e2)
| ~ sP59 ),
inference(cnf_transformation,[],[f231]) ).
fof(f2766,plain,
( spl140_278
| ~ spl140_69 ),
inference(avatar_split_clause,[],[f601,f1549,f2538]) ).
fof(f601,plain,
( ~ sP15
| e3 = op(e4,e2) ),
inference(cnf_transformation,[],[f275]) ).
fof(f2765,plain,
( spl140_286
| ~ spl140_27 ),
inference(avatar_split_clause,[],[f573,f1375,f2599]) ).
fof(f1375,plain,
( spl140_27
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_27])]) ).
fof(f573,plain,
( ~ sP29
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ( ( e1 != op(e2,e2)
| e2 = unit )
& e2 = op(e2,e1) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f2763,plain,
( spl140_165
| spl140_159
| spl140_118
| spl140_204
| spl140_99 ),
inference(avatar_split_clause,[],[f900,f1676,f2137,f1762,f1946,f1970]) ).
fof(f900,plain,
( e1 = op(e2,unit)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e4)
| e1 = op(e2,e1) ),
inference(definition_unfolding,[],[f340,f899]) ).
fof(f340,plain,
( e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e3)
| e1 = op(e2,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2760,plain,
( spl140_217
| spl140_224
| spl140_222
| spl140_215
| spl140_113
| spl140_206
| spl140_213
| spl140_219
| spl140_125
| spl140_210
| spl140_225
| spl140_101
| spl140_4
| spl140_212
| spl140_214
| spl140_59
| spl140_220
| spl140_199
| spl140_221
| spl140_144
| spl140_216
| spl140_223
| spl140_55
| spl140_257
| spl140_218 ),
inference(avatar_split_clause,[],[f750,f2201,f2417,f1491,f2221,f2193,f1875,f2213,f2111,f2209,f1508,f2185,f2177,f1275,f1685,f2229,f2169,f1795,f2205,f2181,f2147,f1740,f2189,f2217,f2225,f2197]) ).
fof(f2225,plain,
( spl140_224
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_224])]) ).
fof(f2217,plain,
( spl140_222
<=> sP133 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_222])]) ).
fof(f2189,plain,
( spl140_215
<=> sP139 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_215])]) ).
fof(f1740,plain,
( spl140_113
<=> sP120 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_113])]) ).
fof(f2205,plain,
( spl140_219
<=> sP130 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_219])]) ).
fof(f1685,plain,
( spl140_101
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_101])]) ).
fof(f1275,plain,
( spl140_4
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_4])]) ).
fof(f2185,plain,
( spl140_214
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_214])]) ).
fof(f2209,plain,
( spl140_220
<=> sP136 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_220])]) ).
fof(f2221,plain,
( spl140_223
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_223])]) ).
fof(f2201,plain,
( spl140_218
<=> sP131 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_218])]) ).
fof(f750,plain,
( sP131
| e4 = op(e3,e2)
| e4 = op(e4,e4)
| sP128
| sP123
| sP121
| sP135
| sP126
| sP136
| sP138
| sP129
| sP122
| sP119
| sP125
| sP124
| e4 = op(e2,e4)
| sP132
| sP130
| sP134
| sP118
| sP120
| sP139
| sP133
| sP127
| sP137 ),
inference(cnf_transformation,[],[f150]) ).
fof(f2759,plain,
( ~ spl140_48
| ~ spl140_141 ),
inference(avatar_split_clause,[],[f980,f1861,f1460]) ).
fof(f980,plain,
( ~ sP103
| e4 != op(e4,unit) ),
inference(definition_unfolding,[],[f426,f899]) ).
fof(f426,plain,
( e4 != op(e4,e0)
| ~ sP103 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ~ sP103 ),
inference(nnf_transformation,[],[f113]) ).
fof(f2757,plain,
( ~ spl140_56
| ~ spl140_117 ),
inference(avatar_split_clause,[],[f628,f1758,f1495]) ).
fof(f628,plain,
( e3 != op(e2,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f287]) ).
fof(f2756,plain,
( spl140_47
| spl140_142
| spl140_200
| spl140_55
| spl140_208 ),
inference(avatar_split_clause,[],[f1222,f2158,f1491,f2116,f1866,f1456]) ).
fof(f1222,plain,
( e1 = op(e4,e4)
| e4 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| op(e4,e4) = unit ),
inference(definition_unfolding,[],[f873,f899]) ).
fof(f873,plain,
( e2 = op(e4,e4)
| e4 = op(e4,e4)
| e3 = op(e4,e4)
| e0 = op(e4,e4)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2755,plain,
( spl140_142
| spl140_143
| spl140_306
| spl140_302
| spl140_61 ),
inference(avatar_split_clause,[],[f902,f1516,f2724,f2752,f1870,f1866]) ).
fof(f902,plain,
( e3 = op(unit,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e3,e4)
| e3 = op(e4,e4) ),
inference(definition_unfolding,[],[f338,f899]) ).
fof(f338,plain,
( e3 = op(e1,e4)
| e3 = op(e2,e4)
| e3 = op(e4,e4)
| e3 = op(e0,e4)
| e3 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2746,plain,
( ~ spl140_304
| spl140_305
| spl140_110 ),
inference(avatar_split_clause,[],[f713,f1726,f2743,f2739]) ).
fof(f713,plain,
( op(e1,e2) = op(e2,e1)
| e1 = op(op(e2,e1),e2)
| e2 != op(op(e2,e1),e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2732,plain,
( ~ spl140_187
| ~ spl140_161
| spl140_50 ),
inference(avatar_split_clause,[],[f1044,f1469,f1954,f2060]) ).
fof(f1954,plain,
( spl140_161
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_161])]) ).
fof(f1044,plain,
( e1 = unit
| ~ sP53
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f526,f899]) ).
fof(f526,plain,
( e0 != op(e1,e1)
| e1 = unit
| ~ sP53 ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ( ( e0 != op(e1,e1)
| e1 = unit )
& e1 = op(e1,e0) )
| ~ sP53 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2731,plain,
( spl140_83
| spl140_302
| spl140_233
| spl140_303
| spl140_117 ),
inference(avatar_split_clause,[],[f935,f1758,f2728,f2276,f2724,f1605]) ).
fof(f935,plain,
( e3 = op(e2,e2)
| e3 = op(e2,unit)
| e3 = op(e2,e1)
| e3 = op(e2,e4)
| e3 = op(e2,e3) ),
inference(definition_unfolding,[],[f305,f899]) ).
fof(f305,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e4)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2720,plain,
( ~ spl140_224
| spl140_104 ),
inference(avatar_split_clause,[],[f365,f1699,f2225]) ).
fof(f365,plain,
( e4 = op(e1,e1)
| ~ sP127 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( ( e4 = unit
| e1 != op(e1,e4) )
& e4 = op(e1,e1) )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
fof(f2718,plain,
( ~ spl140_104
| spl140_57
| spl140_12
| spl140_56
| spl140_58 ),
inference(avatar_split_clause,[],[f654,f1503,f1495,f1309,f1499,f1699]) ).
fof(f654,plain,
( sP1
| sP3
| sP0
| sP2
| e4 != op(e1,e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2717,plain,
~ spl140_227,
inference(avatar_split_clause,[],[f2716,f2239]) ).
fof(f2239,plain,
( spl140_227
<=> e2 = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_227])]) ).
fof(f2716,plain,
e2 != op(unit,e4),
inference(forward_demodulation,[],[f1157,f895]) ).
fof(f1157,plain,
op(unit,e2) != op(unit,e4),
inference(definition_unfolding,[],[f842,f899,f899]) ).
fof(f842,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f2715,plain,
( ~ spl140_5
| ~ spl140_300
| spl140_301 ),
inference(avatar_split_clause,[],[f397,f2712,f2708,f1280]) ).
fof(f397,plain,
( e3 = op(e4,op(e4,e3))
| e4 != op(e3,op(e4,e3))
| ~ sP115 ),
inference(cnf_transformation,[],[f175]) ).
fof(f2697,plain,
( spl140_297
| ~ spl140_7
| ~ spl140_298 ),
inference(avatar_split_clause,[],[f972,f2694,f1288,f2690]) ).
fof(f972,plain,
( e4 != op(unit,op(e4,unit))
| ~ sP116
| unit = op(e4,op(e4,unit)) ),
inference(definition_unfolding,[],[f391,f899,f899,f899,f899]) ).
fof(f391,plain,
( e0 = op(e4,op(e4,e0))
| e4 != op(e0,op(e4,e0))
| ~ sP116 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( ( e0 = op(e1,op(e1,e0))
| e1 != op(e0,op(e1,e0)) )
& ( e3 != op(e0,op(e3,e0))
| e0 = op(e3,op(e3,e0)) )
& ( e0 != op(e0,op(e0,e0))
| e0 = op(e0,op(e0,e0)) )
& ( e0 = op(e4,op(e4,e0))
| e4 != op(e0,op(e4,e0)) )
& ( e0 = op(e2,op(e2,e0))
| e2 != op(e0,op(e2,e0)) ) )
| ~ sP116 ),
inference(nnf_transformation,[],[f126]) ).
fof(f2687,plain,
~ spl140_229,
inference(avatar_split_clause,[],[f2686,f2254]) ).
fof(f2254,plain,
( spl140_229
<=> unit = op(unit,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_229])]) ).
fof(f2686,plain,
unit != op(unit,e4),
inference(forward_demodulation,[],[f1187,f1234]) ).
fof(f1187,plain,
op(unit,e4) != op(unit,unit),
inference(definition_unfolding,[],[f782,f899,f899,f899]) ).
fof(f782,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f5]) ).
fof(f2684,plain,
( spl140_277
| spl140_296
| spl140_92
| spl140_118
| spl140_253 ),
inference(avatar_split_clause,[],[f2679,f2395,f1762,f1644,f2681,f2531]) ).
fof(f2679,plain,
( e1 = e2
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e3,e2)
| e1 = op(e4,e2) ),
inference(forward_demodulation,[],[f924,f895]) ).
fof(f924,plain,
( e1 = op(e3,e2)
| e1 = op(unit,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e4,e2) ),
inference(definition_unfolding,[],[f316,f899]) ).
fof(f316,plain,
( e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2678,plain,
( spl140_153
| ~ spl140_223 ),
inference(avatar_split_clause,[],[f959,f2221,f1918]) ).
fof(f959,plain,
( ~ sP128
| e4 = op(e1,unit) ),
inference(definition_unfolding,[],[f363,f899]) ).
fof(f363,plain,
( e4 = op(e1,e0)
| ~ sP128 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( ( e0 != op(e1,e4)
| e4 = unit )
& e4 = op(e1,e0) )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f2677,plain,
( spl140_233
| spl140_281
| spl140_231
| spl140_286
| spl140_165 ),
inference(avatar_split_clause,[],[f1212,f1970,f2599,f2266,f2558,f2276]) ).
fof(f1212,plain,
( e1 = op(e2,e1)
| e2 = op(e2,e1)
| op(e2,e1) = unit
| e4 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(definition_unfolding,[],[f883,f899]) ).
fof(f883,plain,
( e1 = op(e2,e1)
| e4 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2667,plain,
~ spl140_44,
inference(avatar_split_clause,[],[f2666,f1443]) ).
fof(f1443,plain,
( spl140_44
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_44])]) ).
fof(f2666,plain,
~ sP37,
inference(subsumption_resolution,[],[f2665,f1205]) ).
fof(f2665,plain,
( ~ sP37
| e2 = unit ),
inference(subsumption_resolution,[],[f1065,f895]) ).
fof(f1065,plain,
( e2 != op(unit,e2)
| ~ sP37
| e2 = unit ),
inference(definition_unfolding,[],[f557,f899]) ).
fof(f557,plain,
( e2 != op(e0,e2)
| e2 = unit
| ~ sP37 ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e2 = op(e0,e2)
& ( e2 != op(e0,e2)
| e2 = unit ) )
| ~ sP37 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2664,plain,
( spl140_78
| spl140_88
| spl140_65
| spl140_83
| spl140_77
| spl140_82
| spl140_71
| spl140_76
| spl140_64
| spl140_69
| spl140_67
| spl140_74
| spl140_16
| spl140_18
| spl140_63
| spl140_80
| spl140_68
| spl140_81
| spl140_75
| spl140_79
| spl140_66
| spl140_70
| spl140_73
| spl140_62
| spl140_72 ),
inference(avatar_split_clause,[],[f1145,f1561,f1521,f1565,f1553,f1537,f1589,f1573,f1597,f1545,f1593,f1525,f1336,f1327,f1569,f1541,f1549,f1529,f1577,f1557,f1601,f1581,f1605,f1533,f1628,f1585]) ).
fof(f1585,plain,
( spl140_78
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_78])]) ).
fof(f1581,plain,
( spl140_77
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_77])]) ).
fof(f1577,plain,
( spl140_76
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_76])]) ).
fof(f1336,plain,
( spl140_18
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_18])]) ).
fof(f1545,plain,
( spl140_68
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_68])]) ).
fof(f1573,plain,
( spl140_75
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_75])]) ).
fof(f1537,plain,
( spl140_66
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_66])]) ).
fof(f1521,plain,
( spl140_62
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_62])]) ).
fof(f1561,plain,
( spl140_72
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_72])]) ).
fof(f1145,plain,
( sP11
| sP18
| sP19
| sP17
| sP24
| sP20
| sP8
| sP4
| sP7
| sP22
| sP10
| sP25
| sP16
| sP12
| sP13
| sP15
| e3 = op(unit,e1)
| sP6
| sP21
| sP9
| sP5
| e3 = op(e2,e3)
| sP23
| e3 = op(e1,e2)
| sP14 ),
inference(definition_unfolding,[],[f660,f899]) ).
fof(f660,plain,
( e3 = op(e2,e3)
| e3 = op(e0,e1)
| e3 = op(e1,e2)
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f150]) ).
fof(f2663,plain,
( spl140_293
| spl140_229
| spl140_123
| spl140_280
| spl140_47 ),
inference(avatar_split_clause,[],[f949,f1456,f2552,f1786,f2254,f2660]) ).
fof(f949,plain,
( op(e4,e4) = unit
| op(e3,e4) = unit
| op(e2,e4) = unit
| unit = op(unit,e4)
| op(e1,e4) = unit ),
inference(definition_unfolding,[],[f291,f899,f899,f899,f899,f899,f899]) ).
fof(f291,plain,
( e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e0,e4)
| e0 = op(e4,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2657,plain,
( ~ spl140_26
| spl140_273 ),
inference(avatar_split_clause,[],[f1056,f2501,f1371]) ).
fof(f1371,plain,
( spl140_26
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_26])]) ).
fof(f1056,plain,
( e2 = op(e1,unit)
| ~ sP42 ),
inference(definition_unfolding,[],[f548,f899]) ).
fof(f548,plain,
( e2 = op(e1,e0)
| ~ sP42 ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e2 = op(e1,e0)
& ( e0 != op(e1,e2)
| e2 = unit ) )
| ~ sP42 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2656,plain,
( spl140_291
| ~ spl140_9
| ~ spl140_292 ),
inference(avatar_split_clause,[],[f385,f2653,f1296,f2649]) ).
fof(f385,plain,
( e1 != op(e4,op(e1,e4))
| ~ sP117
| e4 = op(e1,op(e1,e4)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( ( e3 != op(e4,op(e3,e4))
| e4 = op(e3,op(e3,e4)) )
& ( e0 != op(e4,op(e0,e4))
| e4 = op(e0,op(e0,e4)) )
& ( e4 = op(e4,op(e4,e4))
| e4 != op(e4,op(e4,e4)) )
& ( e4 = op(e2,op(e2,e4))
| e2 != op(e4,op(e2,e4)) )
& ( e1 != op(e4,op(e1,e4))
| e4 = op(e1,op(e1,e4)) ) )
| ~ sP117 ),
inference(nnf_transformation,[],[f127]) ).
fof(f2645,plain,
( ~ spl140_41
| spl140_200 ),
inference(avatar_split_clause,[],[f566,f2116,f1431]) ).
fof(f1431,plain,
( spl140_41
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_41])]) ).
fof(f566,plain,
( e2 = op(e4,e4)
| ~ sP33 ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( e2 = op(e4,e4)
& ( e4 != op(e4,e2)
| e2 = unit ) )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2644,plain,
( ~ spl140_72
| spl140_142 ),
inference(avatar_split_clause,[],[f609,f1866,f1561]) ).
fof(f609,plain,
( e3 = op(e4,e4)
| ~ sP11 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( ( ( e4 != op(e4,e3)
| e3 = unit )
& e3 = op(e4,e4) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f2643,plain,
( ~ spl140_104
| spl140_264
| ~ spl140_208 ),
inference(avatar_split_clause,[],[f693,f2158,f2457,f1699]) ).
fof(f693,plain,
( e1 != op(e4,e4)
| e1 = op(e1,e4)
| e4 != op(e1,e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2642,plain,
( ~ spl140_88
| ~ spl140_45 ),
inference(avatar_split_clause,[],[f2641,f1447,f1628]) ).
fof(f2641,plain,
( ~ sP26
| e3 != op(e1,e2) ),
inference(subsumption_resolution,[],[f579,f1205]) ).
fof(f579,plain,
( ~ sP26
| e2 = unit
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f264]) ).
fof(f2640,plain,
( ~ spl140_21
| ~ spl140_57 ),
inference(avatar_split_clause,[],[f630,f1499,f1349]) ).
fof(f630,plain,
( ~ sP2
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ( e1 != op(e4,e4)
& op(e0,e0) != e1
& e1 != op(e2,e2)
& e1 != op(e1,e1)
& e1 != op(e3,e3) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f2639,plain,
spl140_85,
inference(avatar_split_clause,[],[f890,f1614]) ).
fof(f890,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2638,plain,
( ~ spl140_288
| spl140_289
| spl140_290 ),
inference(avatar_split_clause,[],[f716,f2635,f2631,f2627]) ).
fof(f716,plain,
( e1 = op(op(e4,e1),e4)
| op(e1,e4) = op(e4,e1)
| e4 != op(op(e4,e1),e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2625,plain,
~ spl140_253,
inference(avatar_split_clause,[],[f856,f2395]) ).
fof(f856,plain,
e1 != e2,
inference(cnf_transformation,[],[f6]) ).
fof(f2623,plain,
( spl140_41
| spl140_40
| spl140_35
| spl140_28
| spl140_29
| spl140_25
| spl140_39
| spl140_44
| spl140_31
| spl140_24
| spl140_27
| spl140_32
| spl140_42
| spl140_33
| spl140_30
| spl140_37
| spl140_46
| spl140_22
| spl140_45
| ~ spl140_43
| spl140_23
| spl140_34
| spl140_36
| spl140_198
| spl140_26 ),
inference(avatar_split_clause,[],[f2622,f1371,f2106,f1411,f1403,f1359,f1439,f1447,f1355,f1451,f1415,f1387,f1399,f1435,f1395,f1375,f1363,f1391,f1443,f1423,f1367,f1383,f1379,f1407,f1427,f1431]) ).
fof(f1379,plain,
( spl140_28
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_28])]) ).
fof(f1383,plain,
( spl140_29
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_29])]) ).
fof(f1363,plain,
( spl140_24
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_24])]) ).
fof(f1395,plain,
( spl140_32
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_32])]) ).
fof(f1451,plain,
( spl140_46
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_46])]) ).
fof(f1355,plain,
( spl140_22
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_22])]) ).
fof(f1359,plain,
( spl140_23
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_23])]) ).
fof(f2622,plain,
( sP42
| e2 = op(e2,e4)
| sP31
| sP45
| sP39
| op(e2,e2) != unit
| sP26
| sP44
| sP32
| sP43
| sP27
| sP35
| sP40
| sP36
| sP29
| sP41
| sP47
| sP37
| sP38
| sP28
| sP46
| sP30
| sP34
| e2 = op(e2,e2)
| sP33 ),
inference(subsumption_resolution,[],[f1134,f1205]) ).
fof(f1134,plain,
( sP38
| sP31
| sP27
| sP30
| sP36
| sP29
| op(e2,e2) != unit
| e2 = unit
| sP32
| sP44
| sP28
| sP42
| e2 = op(e2,e4)
| sP43
| sP34
| sP41
| sP45
| e2 = op(e2,e2)
| sP37
| sP46
| sP47
| sP35
| sP39
| sP40
| sP33
| sP26 ),
inference(definition_unfolding,[],[f677,f899]) ).
fof(f677,plain,
( e2 = op(e2,e4)
| e2 = unit
| e0 != op(e2,e2)
| e2 = op(e2,e2)
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26 ),
inference(cnf_transformation,[],[f150]) ).
fof(f2621,plain,
( spl140_14
| ~ spl140_219 ),
inference(avatar_split_clause,[],[f360,f2205,f1318]) ).
fof(f360,plain,
( ~ sP130
| e4 = op(e3,e3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e4 = op(e3,e3)
& ( e4 = unit
| e3 != op(e3,e4) ) )
| ~ sP130 ),
inference(nnf_transformation,[],[f140]) ).
fof(f2619,plain,
( spl140_200
| spl140_198
| spl140_211
| spl140_274
| spl140_227 ),
inference(avatar_split_clause,[],[f917,f2239,f2505,f2173,f2106,f2116]) ).
fof(f917,plain,
( e2 = op(unit,e4)
| e2 = op(e1,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e4,e4) ),
inference(definition_unfolding,[],[f323,f899]) ).
fof(f323,plain,
( e2 = op(e3,e4)
| e2 = op(e4,e4)
| e2 = op(e0,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2618,plain,
( spl140_3
| spl140_257
| spl140_287
| spl140_38
| spl140_89 ),
inference(avatar_split_clause,[],[f2613,f1632,f1419,f2615,f2417,f1271]) ).
fof(f2613,plain,
( e4 = op(e1,e2)
| e4 = op(e2,e2)
| e2 = e4
| e4 = op(e3,e2)
| e4 = op(e4,e2) ),
inference(forward_demodulation,[],[f903,f895]) ).
fof(f903,plain,
( e4 = op(e1,e2)
| e4 = op(e2,e2)
| e4 = op(e3,e2)
| e4 = op(e4,e2)
| e4 = op(unit,e2) ),
inference(definition_unfolding,[],[f337,f899]) ).
fof(f337,plain,
( e4 = op(e4,e2)
| e4 = op(e0,e2)
| e4 = op(e1,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2612,plain,
( spl140_209
| spl140_11
| spl140_211 ),
inference(avatar_split_clause,[],[f2611,f2173,f1305,f2163]) ).
fof(f2611,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e1) ),
inference(subsumption_resolution,[],[f2610,f854]) ).
fof(f2610,plain,
( e2 = e3
| e2 = op(e3,e3)
| e2 = op(e3,e4)
| e2 = op(e3,e1) ),
inference(forward_demodulation,[],[f2609,f888]) ).
fof(f2609,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e4)
| e2 = op(e3,unit) ),
inference(subsumption_resolution,[],[f907,f2548]) ).
fof(f907,plain,
( e2 = op(e3,unit)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e4)
| e2 = op(e3,e1) ),
inference(definition_unfolding,[],[f333,f899]) ).
fof(f333,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e0)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2603,plain,
spl140_100,
inference(avatar_split_clause,[],[f891,f1681]) ).
fof(f891,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2602,plain,
( ~ spl140_118
| ~ spl140_237
| spl140_286 ),
inference(avatar_split_clause,[],[f665,f2599,f2302,f1762]) ).
fof(f665,plain,
( e2 = op(e2,e1)
| e2 != op(e1,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2596,plain,
~ spl140_222,
inference(avatar_split_clause,[],[f2595,f2217]) ).
fof(f2595,plain,
~ sP133,
inference(subsumption_resolution,[],[f2594,f861]) ).
fof(f2594,plain,
( ~ sP133
| e3 = e4 ),
inference(forward_demodulation,[],[f956,f888]) ).
fof(f956,plain,
( e4 = op(e3,unit)
| ~ sP133 ),
inference(definition_unfolding,[],[f354,f899]) ).
fof(f354,plain,
( e4 = op(e3,e0)
| ~ sP133 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e4 = op(e3,e0)
& ( e4 = unit
| e0 != op(e3,e4) ) )
| ~ sP133 ),
inference(nnf_transformation,[],[f143]) ).
fof(f2591,plain,
( spl140_50
| ~ spl140_172 ),
inference(avatar_split_clause,[],[f2590,f1998,f1469]) ).
fof(f1998,plain,
( spl140_172
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_172])]) ).
fof(f2590,plain,
( ~ sP48
| e1 = unit ),
inference(forward_demodulation,[],[f1050,f1234]) ).
fof(f1050,plain,
( e1 = op(unit,unit)
| ~ sP48 ),
inference(definition_unfolding,[],[f536,f899,f899]) ).
fof(f536,plain,
( op(e0,e0) = e1
| ~ sP48 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ( op(e0,e0) = e1
& ( e1 = unit
| e0 != op(e0,e1) ) )
| ~ sP48 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2578,plain,
( spl140_234
| spl140_105
| spl140_156
| spl140_245
| spl140_200 ),
inference(avatar_split_clause,[],[f911,f2116,f2344,f1932,f1704,f2284]) ).
fof(f911,plain,
( e2 = op(e4,e4)
| e2 = op(e4,unit)
| e2 = op(e4,e1)
| e2 = op(e4,e3)
| e2 = op(e4,e2) ),
inference(definition_unfolding,[],[f329,f899]) ).
fof(f329,plain,
( e2 = op(e4,e0)
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2573,plain,
( ~ spl140_32
| spl140_274 ),
inference(avatar_split_clause,[],[f559,f2505,f1395]) ).
fof(f559,plain,
( e2 = op(e1,e4)
| ~ sP36 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( e2 = unit
| e4 != op(e1,e2) )
& e2 = op(e1,e4) )
| ~ sP36 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2570,plain,
( spl140_282
| ~ spl140_9
| ~ spl140_283 ),
inference(avatar_split_clause,[],[f386,f2567,f1296,f2563]) ).
fof(f386,plain,
( e2 != op(e4,op(e2,e4))
| ~ sP117
| e4 = op(e2,op(e2,e4)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f2561,plain,
( spl140_167
| spl140_176
| spl140_163
| spl140_174
| spl140_172
| spl140_164
| spl140_166
| spl140_173
| spl140_115
| spl140_170
| spl140_49
| spl140_169
| spl140_162
| spl140_168
| spl140_160
| spl140_171
| spl140_50
| spl140_103
| spl140_158
| spl140_239
| spl140_165
| spl140_175
| spl140_98
| ~ spl140_281
| spl140_161
| spl140_157 ),
inference(avatar_split_clause,[],[f2556,f1938,f1954,f2558,f1672,f2010,f1970,f2313,f1942,f1695,f1469,f1994,f1950,f1982,f1958,f1986,f1465,f1990,f1749,f2002,f1974,f1966,f1998,f2006,f1962,f2014,f1978]) ).
fof(f2006,plain,
( spl140_174
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_174])]) ).
fof(f1966,plain,
( spl140_164
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_164])]) ).
fof(f1974,plain,
( spl140_166
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_166])]) ).
fof(f1986,plain,
( spl140_169
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_169])]) ).
fof(f1994,plain,
( spl140_171
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_171])]) ).
fof(f1672,plain,
( spl140_98
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_98])]) ).
fof(f1938,plain,
( spl140_157
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl140_157])]) ).
fof(f2556,plain,
( sP49
| sP53
| e4 != op(e2,e1)
| sP66
| sP67
| e1 = op(e2,e1)
| e1 = e3
| sP68
| sP63
| e1 = unit
| sP50
| sP65
| sP57
| sP56
| sP52
| sP64
| sP62
| sP58
| sP59
| sP60
| sP61
| sP48
| sP69
| sP51
| sP54
| sP55 ),
inference(forward_demodulation,[],[f1124,f888]) ).
fof(f1124,plain,
( sP50
| sP49
| e4 != op(e2,e1)
| sP60
| e1 = op(e2,e1)
| sP66
| sP67
| sP63
| sP59
| sP64
| sP53
| sP61
| sP55
| sP54
| sP69
| sP68
| e1 = unit
| sP58
| sP52
| sP48
| e1 = op(e3,unit)
| sP56
| sP51
| sP62
| sP65
| sP57 ),
inference(definition_unfolding,[],[f690,f899]) ).
fof(f690,plain,
( e1 = unit
| e4 != op(e2,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e0)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48 ),
inference(cnf_transformation,[],[f150]) ).
fof(f2555,plain,
( spl140_280
| spl140_107
| spl140_15
| spl140_87
| spl140_177 ),
inference(avatar_split_clause,[],[f2550,f2018,f1623,f1323,f1713,f2552]) ).
fof(f2550,plain,
( op(e3,e1) = unit
| op(e3,e2) = unit
| e3 = unit
| op(e3,e3) = unit
| op(e3,e4) = unit ),
inference(forward_demodulation,[],[f918,f888]) ).
fof(f918,plain,
( op(e3,e1) = unit
| op(e3,e2) = unit
| unit = op(e3,unit)
| op(e3,e4) = unit
| op(e3,e3) = unit ),
inference(definition_unfolding,[],[f322,f899,f899,f899,f899,f899,f899]) ).
fof(f322,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e3)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2549,plain,
( spl140_38
| ~ spl140_220 ),
inference(avatar_split_clause,[],[f348,f2209,f1419]) ).
fof(f348,plain,
( ~ sP136
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e4 = op(e2,e2)
& ( e2 != op(e2,e4)
| e4 = unit ) )
| ~ sP136 ),
inference(nnf_transformation,[],[f146]) ).
fof(f2545,plain,
( spl140_278
| spl140_279
| spl140_88
| spl140_117 ),
inference(avatar_split_clause,[],[f2536,f1758,f1628,f2542,f2538]) ).
fof(f2536,plain,
( e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2)
| e3 = op(e4,e2) ),
inference(subsumption_resolution,[],[f2535,f854]) ).
fof(f2535,plain,
( e3 = op(e4,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2)
| e2 = e3 ),
inference(forward_demodulation,[],[f945,f895]) ).
fof(f945,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(unit,e2)
| e3 = op(e2,e2) ),
inference(definition_unfolding,[],[f295,f899]) ).
fof(f295,plain,
( e3 = op(e1,e2)
| e3 = op(e0,e2)
| e3 = op(e4,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2534,plain,
( ~ spl140_277
| ~ spl140_29 ),
inference(avatar_split_clause,[],[f2529,f1383,f2531]) ).
fof(f2529,plain,
( ~ sP46
| e1 != op(e4,e2) ),
inference(subsumption_resolution,[],[f539,f1205]) ).
fof(f539,plain,
( ~ sP46
| e1 != op(e4,e2)
| e2 = unit ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ( e2 = op(e4,e1)
& ( e2 = unit
| e1 != op(e4,e2) ) )
| ~ sP46 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2522,plain,
( spl140_256
| ~ spl140_275
| spl140_276 ),
inference(avatar_split_clause,[],[f671,f2519,f2515,f2411]) ).
fof(f671,plain,
( e3 = op(op(e4,e3),e4)
| e4 != op(op(e4,e3),e3)
| op(e3,e4) = op(e4,e3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2513,plain,
( ~ spl140_218
| spl140_232 ),
inference(avatar_split_clause,[],[f358,f2271,f2201]) ).
fof(f358,plain,
( e4 = op(e3,e4)
| ~ sP131 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e4 = op(e3,e4)
& ( e4 != op(e3,e4)
| e4 = unit ) )
| ~ sP131 ),
inference(nnf_transformation,[],[f141]) ).
fof(f2512,plain,
( spl140_118
| ~ spl140_133 ),
inference(avatar_split_clause,[],[f406,f1829,f1762]) ).
fof(f406,plain,
( ~ sP113
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e1 = op(e2,e2)
& e2 != op(e2,e1) )
| ~ sP113 ),
inference(nnf_transformation,[],[f123]) ).
fof(f2511,plain,
( ~ spl140_126
| spl140_104 ),
inference(avatar_split_clause,[],[f411,f1699,f1801]) ).
fof(f411,plain,
( e4 = op(e1,e1)
| ~ sP110 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP110 ),
inference(nnf_transformation,[],[f120]) ).
fof(f2510,plain,
( spl140_90
| ~ spl140_46 ),
inference(avatar_split_clause,[],[f567,f1451,f1636]) ).
fof(f1636,plain,
( spl140_90
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl140_90])]) ).
fof(f567,plain,
( ~ sP32
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( ( e2 != op(e1,e2)
| e2 = unit )
& e2 = op(e1,e2) )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f2509,plain,
( spl140_233
| ~ spl140_63 ),
inference(avatar_split_clause,[],[f611,f1525,f2276]) ).
fof(f611,plain,
( ~ sP10
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f2508,plain,
( spl140_273
| spl140_274
| spl140_84
| spl140_90
| spl140_237 ),
inference(avatar_split_clause,[],[f944,f2302,f1636,f1609,f2505,f2501]) ).
fof(f944,plain,
( e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e4)
| e2 = op(e1,unit) ),
inference(definition_unfolding,[],[f296,f899]) ).
fof(f296,plain,
( e2 = op(e1,e2)
| e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2499,plain,
( ~ spl140_81
| spl140_272 ),
inference(avatar_split_clause,[],[f624,f2496,f1597]) ).
fof(f624,plain,
( e3 = op(e4,e1)
| ~ sP4 ),
inference(cnf_transformation,[],[f286]) ).
fof(f2494,plain,
( ~ spl140_215
| spl140_271 ),
inference(avatar_split_clause,[],[f342,f2491,f2189]) ).
fof(f342,plain,
( e4 = op(e4,e1)
| ~ sP139 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e4 = op(e4,e1)
& ( e4 = unit
| e1 != op(e4,e4) ) )
| ~ sP139 ),
inference(nnf_transformation,[],[f149]) ).
fof(f2466,plain,
( spl140_208
| ~ spl140_134 ),
inference(avatar_split_clause,[],[f422,f1833,f2158]) ).
fof(f422,plain,
( ~ sP105
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e1 = op(e4,e4)
& e4 != op(e4,e1) )
| ~ sP105 ),
inference(nnf_transformation,[],[f115]) ).
fof(f2464,plain,
( spl140_258
| spl140_208
| spl140_264
| spl140_265
| spl140_159 ),
inference(avatar_split_clause,[],[f921,f1946,f2461,f2457,f2158,f2422]) ).
fof(f921,plain,
( e1 = op(e2,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(unit,e4) ),
inference(definition_unfolding,[],[f319,f899]) ).
fof(f319,plain,
( e1 = op(e1,e4)
| e1 = op(e4,e4)
| e1 = op(e0,e4)
| e1 = op(e2,e4)
| e1 = op(e3,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2453,plain,
( ~ spl140_137
| ~ spl140_263 ),
inference(avatar_split_clause,[],[f983,f2450,f1845]) ).
fof(f983,plain,
( e1 != op(e1,unit)
| ~ sP100 ),
inference(definition_unfolding,[],[f431,f899]) ).
fof(f431,plain,
( e1 != op(e1,e0)
| ~ sP100 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP100 ),
inference(nnf_transformation,[],[f110]) ).
fof(f2448,plain,
( spl140_84
| spl140_105
| spl140_11
| spl140_262
| spl140_203 ),
inference(avatar_split_clause,[],[f908,f2133,f2445,f1305,f1704,f1609]) ).
fof(f908,plain,
( e2 = op(e2,e3)
| e2 = op(unit,e3)
| e2 = op(e3,e3)
| e2 = op(e4,e3)
| e2 = op(e1,e3) ),
inference(definition_unfolding,[],[f332,f899]) ).
fof(f332,plain,
( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e4,e3)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2430,plain,
( ~ spl140_138
| ~ spl140_201 ),
inference(avatar_split_clause,[],[f989,f2122,f1849]) ).
fof(f989,plain,
( e2 != op(e2,unit)
| ~ sP95 ),
inference(definition_unfolding,[],[f441,f899]) ).
fof(f441,plain,
( e2 != op(e2,e0)
| ~ sP95 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP95 ),
inference(nnf_transformation,[],[f105]) ).
fof(f2429,plain,
( spl140_155
| ~ spl140_214 ),
inference(avatar_split_clause,[],[f361,f2185,f1926]) ).
fof(f361,plain,
( ~ sP129
| e4 = op(e1,e4) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( ( e4 = unit
| e4 != op(e1,e4) )
& e4 = op(e1,e4) )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f2428,plain,
( spl140_142
| ~ spl140_128 ),
inference(avatar_split_clause,[],[f433,f1809,f1866]) ).
fof(f433,plain,
( ~ sP99
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( e4 != op(e4,e3)
& e3 = op(e4,e4) )
| ~ sP99 ),
inference(nnf_transformation,[],[f109]) ).
fof(f2415,plain,
( ~ spl140_82
| ~ spl140_154
| spl140_15 ),
inference(avatar_split_clause,[],[f614,f1323,f1922,f1601]) ).
fof(f614,plain,
( e3 = unit
| e4 != op(e1,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f281]) ).
fof(f2401,plain,
( spl140_207
| ~ spl140_62 ),
inference(avatar_split_clause,[],[f595,f1521,f2152]) ).
fof(f595,plain,
( ~ sP18
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
( ( ( e3 = unit
| e1 != op(e3,e3) )
& e3 = op(e3,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f2400,plain,
( ~ spl140_129
| spl140_11 ),
inference(avatar_split_clause,[],[f417,f1305,f1813]) ).
fof(f417,plain,
( e2 = op(e3,e3)
| ~ sP107 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP107 ),
inference(nnf_transformation,[],[f117]) ).
fof(f2399,plain,
( ~ spl140_139
| spl140_51 ),
inference(avatar_split_clause,[],[f423,f1473,f1853]) ).
fof(f423,plain,
( e1 = op(e1,e1)
| ~ sP104 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP104 ),
inference(nnf_transformation,[],[f114]) ).
fof(f2398,plain,
( spl140_253
| ~ spl140_169 ),
inference(avatar_split_clause,[],[f2393,f1986,f2395]) ).
fof(f2393,plain,
( ~ sP52
| e1 = e2 ),
inference(forward_demodulation,[],[f1047,f895]) ).
fof(f1047,plain,
( e1 = op(unit,e2)
| ~ sP52 ),
inference(definition_unfolding,[],[f527,f899]) ).
fof(f527,plain,
( e1 = op(e0,e2)
| ~ sP52 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( ( e2 != op(e0,e1)
| e1 = unit )
& e1 = op(e0,e2) )
| ~ sP52 ),
inference(nnf_transformation,[],[f62]) ).
fof(f2390,plain,
( spl140_237
| spl140_51
| spl140_20
| spl140_104
| spl140_187 ),
inference(avatar_split_clause,[],[f1231,f2060,f1699,f1345,f1473,f2302]) ).
fof(f1231,plain,
( op(e1,e1) = unit
| e4 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1) ),
inference(definition_unfolding,[],[f864,f899]) ).
fof(f864,plain,
( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e4 = op(e1,e1)
| e1 = op(e1,e1)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2375,plain,
( spl140_143
| ~ spl140_75 ),
inference(avatar_split_clause,[],[f616,f1573,f1870]) ).
fof(f616,plain,
( ~ sP8
| e3 = op(e3,e4) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ( e3 = op(e3,e4)
& ( e3 = unit
| e4 != op(e3,e3) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f2374,plain,
( ~ spl140_171
| spl140_246 ),
inference(avatar_split_clause,[],[f532,f2350,f1994]) ).
fof(f532,plain,
( e1 = op(e3,e1)
| ~ sP50 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( e1 = op(e3,e1)
& ( e1 != op(e3,e1)
| e1 = unit ) )
| ~ sP50 ),
inference(nnf_transformation,[],[f60]) ).
fof(f2370,plain,
( ~ spl140_20
| ~ spl140_21
| spl140_207 ),
inference(avatar_split_clause,[],[f719,f2152,f1349,f1345]) ).
fof(f719,plain,
( e3 = op(e3,e1)
| e1 != op(e3,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2369,plain,
( ~ spl140_142
| ~ spl140_56 ),
inference(avatar_split_clause,[],[f626,f1495,f1866]) ).
fof(f626,plain,
( ~ sP3
| e3 != op(e4,e4) ),
inference(cnf_transformation,[],[f287]) ).
fof(f2368,plain,
( ~ spl140_157
| spl140_208 ),
inference(avatar_split_clause,[],[f533,f2158,f1938]) ).
fof(f533,plain,
( e1 = op(e4,e4)
| ~ sP49 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ( ( e4 != op(e4,e1)
| e1 = unit )
& e1 = op(e4,e4) )
| ~ sP49 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2354,plain,
( ~ spl140_24
| spl140_245 ),
inference(avatar_split_clause,[],[f1058,f2344,f1363]) ).
fof(f1058,plain,
( e2 = op(e4,unit)
| ~ sP41 ),
inference(definition_unfolding,[],[f550,f899]) ).
fof(f550,plain,
( e2 = op(e4,e0)
| ~ sP41 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e2 = op(e4,e0)
& ( e2 = unit
| e0 != op(e4,e2) ) )
| ~ sP41 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2353,plain,
( spl140_207
| spl140_246
| spl140_209
| spl140_124
| spl140_177 ),
inference(avatar_split_clause,[],[f1210,f2018,f1791,f2163,f2350,f2152]) ).
fof(f1210,plain,
( op(e3,e1) = unit
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1) ),
inference(definition_unfolding,[],[f885,f899]) ).
fof(f885,plain,
( e3 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1)
| e2 = op(e3,e1)
| e4 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2348,plain,
( spl140_60
| ~ spl140_159
| ~ spl140_213 ),
inference(avatar_split_clause,[],[f351,f2181,f1946,f1512]) ).
fof(f351,plain,
( ~ sP134
| e1 != op(e2,e4)
| e4 = unit ),
inference(cnf_transformation,[],[f156]) ).
fof(f2328,plain,
( spl140_240
| ~ spl140_241
| ~ spl140_5 ),
inference(avatar_split_clause,[],[f395,f1280,f2325,f2321]) ).
fof(f395,plain,
( ~ sP115
| e2 != op(e3,op(e2,e3))
| e3 = op(e2,op(e2,e3)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f2319,plain,
( ~ spl140_209
| ~ spl140_162
| spl140_50 ),
inference(avatar_split_clause,[],[f520,f1469,f1958,f2163]) ).
fof(f520,plain,
( e1 = unit
| ~ sP56
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f2318,plain,
~ spl140_228,
inference(avatar_split_clause,[],[f2317,f2248]) ).
fof(f2317,plain,
e2 != op(unit,e1),
inference(forward_demodulation,[],[f1195,f895]) ).
fof(f1195,plain,
op(unit,e1) != op(unit,e2),
inference(definition_unfolding,[],[f771,f899,f899]) ).
fof(f771,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f2316,plain,
( spl140_239
| spl140_98
| spl140_158
| spl140_160
| spl140_166
| spl140_162
| spl140_103
| spl140_49
| spl140_167
| spl140_165
| spl140_174
| spl140_175
| spl140_173
| spl140_164
| spl140_159
| spl140_169
| spl140_168
| spl140_176
| spl140_172
| spl140_161
| spl140_157
| spl140_170
| spl140_171
| spl140_115
| spl140_163 ),
inference(avatar_split_clause,[],[f2311,f1962,f1749,f1994,f1990,f1938,f1954,f1998,f2014,f1982,f1986,f1946,f1966,f2002,f2010,f2006,f1970,f1978,f1465,f1695,f1958,f1974,f1950,f1942,f1672,f2313]) ).
fof(f2311,plain,
( sP51
| sP58
| sP50
| sP62
| sP49
| sP53
| sP48
| sP54
| sP57
| sP52
| e1 = op(e2,e4)
| sP61
| sP59
| sP67
| sP69
| e1 = op(e2,e1)
| sP55
| sP64
| sP63
| sP56
| sP60
| sP65
| sP68
| sP66
| e1 = e3 ),
inference(forward_demodulation,[],[f1128,f888]) ).
fof(f1128,plain,
( sP48
| sP59
| sP62
| sP54
| sP58
| sP52
| sP57
| sP50
| sP53
| sP68
| sP60
| sP67
| sP51
| sP49
| sP63
| sP56
| e1 = op(e3,unit)
| e1 = op(e2,e4)
| sP61
| sP55
| sP69
| sP65
| sP66
| e1 = op(e2,e1)
| sP64 ),
inference(definition_unfolding,[],[f686,f899]) ).
fof(f686,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e1)
| e1 = op(e3,e0)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48 ),
inference(cnf_transformation,[],[f150]) ).
fof(f2300,plain,
( ~ spl140_66
| spl140_61 ),
inference(avatar_split_clause,[],[f1070,f1516,f1537]) ).
fof(f1070,plain,
( e3 = op(unit,e4)
| ~ sP24 ),
inference(definition_unfolding,[],[f584,f899]) ).
fof(f584,plain,
( e3 = op(e0,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
( ( e3 = op(e0,e4)
& ( e4 != op(e0,e3)
| e3 = unit ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f2297,plain,
( ~ spl140_166
| spl140_236 ),
inference(avatar_split_clause,[],[f1040,f2294,f1974]) ).
fof(f1040,plain,
( e1 = op(unit,e3)
| ~ sP60 ),
inference(definition_unfolding,[],[f512,f899]) ).
fof(f512,plain,
( e1 = op(e0,e3)
| ~ sP60 ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( e1 = op(e0,e3)
& ( e3 != op(e0,e1)
| e1 = unit ) )
| ~ sP60 ),
inference(nnf_transformation,[],[f70]) ).
fof(f2287,plain,
( ~ spl140_28
| spl140_234 ),
inference(avatar_split_clause,[],[f572,f2284,f1379]) ).
fof(f572,plain,
( e2 = op(e4,e2)
| ~ sP30 ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( e2 = op(e4,e2)
& ( e2 != op(e4,e2)
| e2 = unit ) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2281,plain,
( ~ spl140_89
| ~ spl140_32 ),
inference(avatar_split_clause,[],[f2280,f1395,f1632]) ).
fof(f2280,plain,
( ~ sP36
| e4 != op(e1,e2) ),
inference(subsumption_resolution,[],[f560,f1205]) ).
fof(f560,plain,
( e2 = unit
| e4 != op(e1,e2)
| ~ sP36 ),
inference(cnf_transformation,[],[f254]) ).
fof(f2279,plain,
( spl140_50
| ~ spl140_174
| ~ spl140_233 ),
inference(avatar_split_clause,[],[f494,f2276,f2006,f1469]) ).
fof(f494,plain,
( e3 != op(e2,e1)
| ~ sP69
| e1 = unit ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( ( ( e3 != op(e2,e1)
| e1 = unit )
& e1 = op(e2,e3) )
| ~ sP69 ),
inference(nnf_transformation,[],[f79]) ).
fof(f2269,plain,
( spl140_43
| spl140_108
| spl140_230
| spl140_231
| spl140_123 ),
inference(avatar_split_clause,[],[f933,f1786,f2266,f2262,f1717,f1439]) ).
fof(f933,plain,
( op(e2,e4) = unit
| op(e2,e1) = unit
| unit = op(e2,unit)
| op(e2,e3) = unit
| op(e2,e2) = unit ),
inference(definition_unfolding,[],[f307,f899,f899,f899,f899,f899,f899]) ).
fof(f307,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e4)
| e0 = op(e2,e2)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2260,plain,
( spl140_107
| ~ spl140_85
| ~ spl140_7 ),
inference(avatar_split_clause,[],[f2259,f1288,f1614,f1713]) ).
fof(f2259,plain,
( ~ sP116
| e3 != op(unit,e3)
| op(e3,e3) = unit ),
inference(forward_demodulation,[],[f2258,f888]) ).
fof(f2258,plain,
( ~ sP116
| unit = op(e3,op(e3,unit))
| e3 != op(unit,e3) ),
inference(forward_demodulation,[],[f970,f888]) ).
fof(f970,plain,
( e3 != op(unit,op(e3,unit))
| unit = op(e3,op(e3,unit))
| ~ sP116 ),
inference(definition_unfolding,[],[f393,f899,f899,f899,f899]) ).
fof(f393,plain,
( e3 != op(e0,op(e3,e0))
| e0 = op(e3,op(e3,e0))
| ~ sP116 ),
inference(cnf_transformation,[],[f174]) ).
fof(f2252,plain,
( spl140_154
| ~ spl140_216 ),
inference(avatar_split_clause,[],[f373,f2193,f1922]) ).
fof(f373,plain,
( ~ sP123
| e4 = op(e1,e3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f2251,plain,
( spl140_228
| ~ spl140_23 ),
inference(avatar_split_clause,[],[f1062,f1359,f2248]) ).
fof(f1062,plain,
( ~ sP39
| e2 = op(unit,e1) ),
inference(definition_unfolding,[],[f554,f899]) ).
fof(f554,plain,
( e2 = op(e0,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ( e2 = op(e0,e1)
& ( e2 = unit
| e1 != op(e0,e2) ) )
| ~ sP39 ),
inference(nnf_transformation,[],[f49]) ).
fof(f2246,plain,
( ~ spl140_77
| spl140_117 ),
inference(avatar_split_clause,[],[f622,f1758,f1581]) ).
fof(f622,plain,
( e3 = op(e2,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( ( e3 = op(e2,e2)
& ( e2 != op(e2,e3)
| e3 = unit ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f2244,plain,
~ spl140_90,
inference(avatar_split_clause,[],[f2243,f1636]) ).
fof(f2243,plain,
e2 != op(e1,e2),
inference(backward_demodulation,[],[f1171,f895]) ).
fof(f1171,plain,
op(e1,e2) != op(unit,e2),
inference(definition_unfolding,[],[f813,f899]) ).
fof(f813,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f2242,plain,
( spl140_227
| ~ spl140_22 ),
inference(avatar_split_clause,[],[f1055,f1355,f2239]) ).
fof(f1055,plain,
( ~ sP44
| e2 = op(unit,e4) ),
inference(definition_unfolding,[],[f543,f899]) ).
fof(f543,plain,
( e2 = op(e0,e4)
| ~ sP44 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( ( e2 = unit
| e4 != op(e0,e2) )
& e2 = op(e0,e4) )
| ~ sP44 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2232,plain,
( spl140_210
| spl140_199
| ~ spl140_211
| spl140_212
| spl140_213
| spl140_206
| spl140_214
| spl140_215
| spl140_216
| spl140_217
| spl140_60
| spl140_218
| spl140_219
| spl140_125
| spl140_101
| spl140_220
| spl140_113
| spl140_221
| spl140_59
| spl140_4
| spl140_222
| spl140_55
| spl140_223
| spl140_224
| spl140_144
| spl140_225 ),
inference(avatar_split_clause,[],[f746,f2229,f1875,f2225,f2221,f1491,f2217,f1275,f1508,f2213,f1740,f2209,f1685,f1795,f2205,f2201,f1512,f2197,f2193,f2189,f2185,f2147,f2181,f2177,f2173,f2111,f2169]) ).
fof(f746,plain,
( sP124
| sP121
| sP127
| sP128
| e4 = op(e4,e4)
| sP133
| sP119
| sP138
| sP135
| sP120
| sP136
| sP125
| sP132
| sP130
| sP131
| e4 = unit
| sP137
| sP123
| sP139
| sP129
| sP118
| sP134
| sP122
| e2 != op(e3,e4)
| sP126
| e4 = op(e2,e4) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2166,plain,
( spl140_209
| ~ spl140_36 ),
inference(avatar_split_clause,[],[f570,f1411,f2163]) ).
fof(f570,plain,
( ~ sP31
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f259]) ).
fof(f2161,plain,
( ~ spl140_57
| ~ spl140_208 ),
inference(avatar_split_clause,[],[f634,f2158,f1499]) ).
fof(f634,plain,
( e1 != op(e4,e4)
| ~ sP2 ),
inference(cnf_transformation,[],[f288]) ).
fof(f2156,plain,
( spl140_20
| ~ spl140_132 ),
inference(avatar_split_clause,[],[f416,f1825,f1345]) ).
fof(f416,plain,
( ~ sP108
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP108 ),
inference(nnf_transformation,[],[f118]) ).
fof(f2150,plain,
( ~ spl140_206
| spl140_89 ),
inference(avatar_split_clause,[],[f383,f1632,f2147]) ).
fof(f383,plain,
( e4 = op(e1,e2)
| ~ sP118 ),
inference(cnf_transformation,[],[f172]) ).
fof(f2145,plain,
( spl140_204
| ~ spl140_174 ),
inference(avatar_split_clause,[],[f493,f2006,f2137]) ).
fof(f493,plain,
( ~ sP69
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f221]) ).
fof(f2144,plain,
( spl140_203
| spl140_83
| spl140_108
| spl140_204
| spl140_205 ),
inference(avatar_split_clause,[],[f1232,f2141,f2137,f1717,f1605,f2133]) ).
fof(f1232,plain,
( e4 = op(e2,e3)
| e1 = op(e2,e3)
| op(e2,e3) = unit
| e3 = op(e2,e3)
| e2 = op(e2,e3) ),
inference(definition_unfolding,[],[f863,f899]) ).
fof(f863,plain,
( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2131,plain,
( ~ spl140_164
| spl140_50
| ~ spl140_202 ),
inference(avatar_split_clause,[],[f1039,f2128,f1469,f1966]) ).
fof(f1039,plain,
( e1 != op(unit,e1)
| e1 = unit
| ~ sP61 ),
inference(definition_unfolding,[],[f509,f899]) ).
fof(f509,plain,
( e1 != op(e0,e1)
| e1 = unit
| ~ sP61 ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ( e1 = op(e0,e1)
& ( e1 != op(e0,e1)
| e1 = unit ) )
| ~ sP61 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2026,plain,
( spl140_178
| ~ spl140_76 ),
inference(avatar_split_clause,[],[f619,f1577,f2023]) ).
fof(f619,plain,
( ~ sP6
| e3 = op(e4,e3) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
( ( ( e3 = unit
| e3 != op(e4,e3) )
& e3 = op(e4,e3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f1936,plain,
( spl140_102
| ~ spl140_135 ),
inference(avatar_split_clause,[],[f414,f1837,f1690]) ).
fof(f414,plain,
( ~ sP109
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ~ sP109 ),
inference(nnf_transformation,[],[f119]) ).
fof(f1935,plain,
( ~ spl140_29
| spl140_156 ),
inference(avatar_split_clause,[],[f540,f1932,f1383]) ).
fof(f540,plain,
( e2 = op(e4,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f244]) ).
fof(f1930,plain,
~ spl140_50,
inference(avatar_split_clause,[],[f1207,f1469]) ).
fof(f1207,plain,
e1 != unit,
inference(definition_unfolding,[],[f853,f899]) ).
fof(f853,plain,
e0 != e1,
inference(cnf_transformation,[],[f6]) ).
fof(f1929,plain,
( spl140_153
| spl140_154
| spl140_104
| spl140_155
| spl140_89 ),
inference(avatar_split_clause,[],[f906,f1632,f1926,f1699,f1922,f1918]) ).
fof(f906,plain,
( e4 = op(e1,e2)
| e4 = op(e1,e4)
| e4 = op(e1,e1)
| e4 = op(e1,e3)
| e4 = op(e1,unit) ),
inference(definition_unfolding,[],[f334,f899]) ).
fof(f334,plain,
( e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1902,plain,
( ~ spl140_57
| ~ spl140_118 ),
inference(avatar_split_clause,[],[f632,f1762,f1499]) ).
fof(f632,plain,
( e1 != op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f288]) ).
fof(f1887,plain,
( ~ spl140_9
| ~ spl140_145
| spl140_146 ),
inference(avatar_split_clause,[],[f389,f1884,f1880,f1296]) ).
fof(f389,plain,
( e4 = op(e3,op(e3,e4))
| e3 != op(e4,op(e3,e4))
| ~ sP117 ),
inference(cnf_transformation,[],[f173]) ).
fof(f1798,plain,
( spl140_124
| ~ spl140_125 ),
inference(avatar_split_clause,[],[f356,f1795,f1791]) ).
fof(f356,plain,
( ~ sP132
| e4 = op(e3,e1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1770,plain,
( spl140_40
| ~ spl140_119 ),
inference(avatar_split_clause,[],[f430,f1767,f1427]) ).
fof(f430,plain,
( ~ sP101
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2) )
| ~ sP101 ),
inference(nnf_transformation,[],[f111]) ).
fof(f1765,plain,
( spl140_40
| spl140_43
| spl140_38
| spl140_117
| spl140_118 ),
inference(avatar_split_clause,[],[f1226,f1762,f1758,f1419,f1439,f1427]) ).
fof(f1226,plain,
( e1 = op(e2,e2)
| e3 = op(e2,e2)
| e4 = op(e2,e2)
| op(e2,e2) = unit
| e2 = op(e2,e2) ),
inference(definition_unfolding,[],[f869,f899]) ).
fof(f869,plain,
( e1 = op(e2,e2)
| e4 = op(e2,e2)
| e0 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1747,plain,
( ~ spl140_113
| spl140_114 ),
inference(avatar_split_clause,[],[f966,f1744,f1740]) ).
fof(f966,plain,
( e4 = op(e2,unit)
| ~ sP120 ),
inference(definition_unfolding,[],[f380,f899]) ).
fof(f380,plain,
( e4 = op(e2,e0)
| ~ sP120 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( e4 = op(e2,e0)
& ( e4 = unit
| e0 != op(e2,e4) ) )
| ~ sP120 ),
inference(nnf_transformation,[],[f130]) ).
fof(f1738,plain,
( ~ spl140_112
| spl140_55 ),
inference(avatar_split_clause,[],[f447,f1491,f1735]) ).
fof(f447,plain,
( e4 = op(e4,e4)
| ~ sP92 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP92 ),
inference(nnf_transformation,[],[f102]) ).
fof(f1733,plain,
( ~ spl140_109
| spl140_110
| spl140_111 ),
inference(avatar_split_clause,[],[f655,f1730,f1726,f1722]) ).
fof(f655,plain,
( e2 = op(op(e1,e2),e1)
| op(e1,e2) = op(e2,e1)
| e1 != op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f1707,plain,
( ~ spl140_37
| spl140_105 ),
inference(avatar_split_clause,[],[f546,f1704,f1415]) ).
fof(f546,plain,
( e2 = op(e4,e3)
| ~ sP43 ),
inference(cnf_transformation,[],[f247]) ).
fof(f1693,plain,
( spl140_102
| ~ spl140_68 ),
inference(avatar_split_clause,[],[f618,f1545,f1690]) ).
fof(f618,plain,
( ~ sP7
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ( e3 = op(e3,e3)
& ( e3 = unit
| e3 != op(e3,e3) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1688,plain,
( ~ spl140_100
| spl140_60
| ~ spl140_101 ),
inference(avatar_split_clause,[],[f962,f1685,f1512,f1681]) ).
fof(f962,plain,
( ~ sP125
| e4 = unit
| e4 != op(unit,e4) ),
inference(definition_unfolding,[],[f370,f899]) ).
fof(f370,plain,
( e4 = unit
| e4 != op(e0,e4)
| ~ sP125 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( ( e4 = unit
| e4 != op(e0,e4) )
& e4 = op(e0,e4) )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f1679,plain,
( ~ spl140_98
| spl140_99 ),
inference(avatar_split_clause,[],[f1036,f1676,f1672]) ).
fof(f1036,plain,
( e1 = op(e2,unit)
| ~ sP66 ),
inference(definition_unfolding,[],[f500,f899]) ).
fof(f500,plain,
( e1 = op(e2,e0)
| ~ sP66 ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( e1 = op(e2,e0)
& ( e1 = unit
| e0 != op(e2,e1) ) )
| ~ sP66 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1661,plain,
( spl140_21
| ~ spl140_95 ),
inference(avatar_split_clause,[],[f427,f1658,f1349]) ).
fof(f427,plain,
( ~ sP102
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ~ sP102 ),
inference(nnf_transformation,[],[f112]) ).
fof(f1647,plain,
( spl140_88
| spl140_89
| spl140_90
| spl140_91
| spl140_92 ),
inference(avatar_split_clause,[],[f1228,f1644,f1640,f1636,f1632,f1628]) ).
fof(f1228,plain,
( e1 = op(e1,e2)
| op(e1,e2) = unit
| e2 = op(e1,e2)
| e4 = op(e1,e2)
| e3 = op(e1,e2) ),
inference(definition_unfolding,[],[f867,f899]) ).
fof(f867,plain,
( e3 = op(e1,e2)
| e4 = op(e1,e2)
| e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1617,plain,
( ~ spl140_78
| ~ spl140_85
| spl140_15 ),
inference(avatar_split_clause,[],[f1081,f1323,f1614,f1585]) ).
fof(f1081,plain,
( e3 = unit
| e3 != op(unit,e3)
| ~ sP14 ),
inference(definition_unfolding,[],[f603,f899]) ).
fof(f603,plain,
( e3 != op(e0,e3)
| e3 = unit
| ~ sP14 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ( e3 = op(e0,e3)
& ( e3 != op(e0,e3)
| e3 = unit ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1612,plain,
( spl140_15
| spl140_62
| spl140_63
| spl140_64
| spl140_65
| spl140_66
| spl140_67
| spl140_68
| spl140_69
| spl140_70
| spl140_71
| spl140_72
| spl140_18
| spl140_73
| spl140_74
| spl140_75
| spl140_76
| spl140_77
| spl140_78
| spl140_79
| spl140_80
| spl140_81
| spl140_82
| spl140_16
| spl140_83
| ~ spl140_84 ),
inference(avatar_split_clause,[],[f1144,f1609,f1605,f1327,f1601,f1597,f1593,f1589,f1585,f1581,f1577,f1573,f1569,f1565,f1336,f1561,f1557,f1553,f1549,f1545,f1541,f1537,f1533,f1529,f1525,f1521,f1323]) ).
fof(f1144,plain,
( e2 != op(e1,e3)
| e3 = op(e2,e3)
| sP16
| sP9
| sP4
| sP22
| sP20
| sP14
| sP5
| sP6
| sP8
| sP12
| sP19
| sP25
| sP11
| sP21
| sP17
| sP15
| sP7
| sP13
| sP24
| sP23
| e3 = op(unit,e1)
| sP10
| sP18
| e3 = unit ),
inference(definition_unfolding,[],[f661,f899]) ).
fof(f661,plain,
( e3 = op(e2,e3)
| e3 = op(e0,e1)
| e3 = unit
| e2 != op(e1,e3)
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f150]) ).
fof(f1343,plain,
( ~ spl140_18
| spl140_19 ),
inference(avatar_split_clause,[],[f1068,f1340,f1336]) ).
fof(f1068,plain,
( e3 = op(unit,e2)
| ~ sP25 ),
inference(definition_unfolding,[],[f582,f899]) ).
fof(f582,plain,
( e3 = op(e0,e2)
| ~ sP25 ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( e3 = op(e0,e2)
& ( e2 != op(e0,e3)
| e3 = unit ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1321,plain,
( ~ spl140_13
| spl140_14 ),
inference(avatar_split_clause,[],[f440,f1318,f1314]) ).
fof(f440,plain,
( e4 = op(e3,e3)
| ~ sP96 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e4 = op(e3,e3)
& e3 != op(e3,e4) )
| ~ sP96 ),
inference(nnf_transformation,[],[f106]) ).
fof(f1312,plain,
( ~ spl140_11
| ~ spl140_12 ),
inference(avatar_split_clause,[],[f643,f1309,f1305]) ).
fof(f643,plain,
( ~ sP0
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f290]) ).
fof(f1278,plain,
( spl140_3
| ~ spl140_4 ),
inference(avatar_split_clause,[],[f381,f1275,f1271]) ).
fof(f381,plain,
( ~ sP119
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( ( e4 = unit
| e2 != op(e4,e4) )
& e4 = op(e4,e2) )
| ~ sP119 ),
inference(nnf_transformation,[],[f129]) ).
fof(f1269,plain,
( ~ spl140_1
| spl140_2 ),
inference(avatar_split_clause,[],[f987,f1266,f1262]) ).
fof(f987,plain,
( e4 = op(unit,unit)
| ~ sP97 ),
inference(definition_unfolding,[],[f437,f899,f899]) ).
fof(f437,plain,
( op(e0,e0) = e4
| ~ sP97 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e0 != op(e0,e4)
& op(e0,e0) = e4 )
| ~ sP97 ),
inference(nnf_transformation,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG047+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:13:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (25940)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52 % (25929)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (25948)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52 % (25932)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (25932)Instruction limit reached!
% 0.18/0.52 % (25932)------------------------------
% 0.18/0.52 % (25932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (25932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (25932)Termination reason: Unknown
% 0.18/0.52 % (25932)Termination phase: Preprocessing 3
% 0.18/0.52
% 0.18/0.52 % (25932)Memory used [KB]: 1279
% 0.18/0.52 % (25932)Time elapsed: 0.006 s
% 0.18/0.52 % (25932)Instructions burned: 7 (million)
% 0.18/0.52 % (25932)------------------------------
% 0.18/0.52 % (25932)------------------------------
% 0.18/0.53 % (25937)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (25931)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)
% 0.18/0.53 % (25928)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (25947)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.53 % (25942)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54 % (25950)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54 % (25954)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.54 % (25952)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.54 % (25930)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.54 % (25951)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54 % (25949)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54 % (25943)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (25945)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54 % (25927)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.55 % (25926)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)
% 0.18/0.55 % (25939)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.55 % (25933)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.55 % (25933)Instruction limit reached!
% 0.18/0.55 % (25933)------------------------------
% 0.18/0.55 % (25933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (25933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (25933)Termination reason: Unknown
% 0.18/0.55 % (25933)Termination phase: shuffling
% 0.18/0.55
% 0.18/0.55 % (25933)Memory used [KB]: 1023
% 0.18/0.55 % (25933)Time elapsed: 0.002 s
% 0.18/0.55 % (25933)Instructions burned: 2 (million)
% 0.18/0.55 % (25933)------------------------------
% 0.18/0.55 % (25933)------------------------------
% 0.18/0.55 % (25946)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.55 % (25925)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.55 % (25936)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55 % (25935)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.55 % (25938)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.55 % (25941)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.55 % (25934)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.56 % (25944)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.56 % (25953)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.78/0.59 % (25927)Instruction limit reached!
% 1.78/0.59 % (25927)------------------------------
% 1.78/0.59 % (25927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (25927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (25927)Termination reason: Unknown
% 1.78/0.59 % (25927)Termination phase: Saturation
% 1.78/0.59
% 1.78/0.59 % (25927)Memory used [KB]: 1663
% 1.78/0.59 % (25927)Time elapsed: 0.018 s
% 1.78/0.59 % (25927)Instructions burned: 38 (million)
% 1.78/0.59 % (25927)------------------------------
% 1.78/0.59 % (25927)------------------------------
% 1.78/0.59 % (25928)Instruction limit reached!
% 1.78/0.59 % (25928)------------------------------
% 1.78/0.59 % (25928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (25928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (25928)Termination reason: Unknown
% 1.78/0.59 % (25928)Termination phase: Saturation
% 1.78/0.59
% 1.78/0.59 % (25928)Memory used [KB]: 7419
% 1.78/0.59 % (25928)Time elapsed: 0.024 s
% 1.78/0.59 % (25928)Instructions burned: 52 (million)
% 1.78/0.59 % (25928)------------------------------
% 1.78/0.59 % (25928)------------------------------
% 1.78/0.59 % (25940)Instruction limit reached!
% 1.78/0.59 % (25940)------------------------------
% 1.78/0.59 % (25940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (25940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (25940)Termination reason: Unknown
% 1.78/0.59 % (25940)Termination phase: Saturation
% 1.78/0.59
% 1.78/0.59 % (25940)Memory used [KB]: 1918
% 1.78/0.59 % (25940)Time elapsed: 0.075 s
% 1.78/0.59 % (25940)Instructions burned: 75 (million)
% 1.78/0.59 % (25940)------------------------------
% 1.78/0.59 % (25940)------------------------------
% 1.78/0.60 % (25929)Instruction limit reached!
% 1.78/0.60 % (25929)------------------------------
% 1.78/0.60 % (25929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60 % (25929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.60 % (25929)Termination reason: Unknown
% 1.78/0.60 % (25929)Termination phase: Saturation
% 1.78/0.60
% 1.78/0.60 % (25929)Memory used [KB]: 7291
% 1.78/0.60 % (25929)Time elapsed: 0.032 s
% 1.78/0.60 % (25929)Instructions burned: 51 (million)
% 1.78/0.60 % (25929)------------------------------
% 1.78/0.60 % (25929)------------------------------
% 1.78/0.61 % (25926)Instruction limit reached!
% 1.78/0.61 % (25926)------------------------------
% 1.78/0.61 % (25926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 % (25926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61 % (25926)Termination reason: Unknown
% 1.78/0.61 % (25926)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (25926)Memory used [KB]: 7419
% 1.78/0.61 % (25926)Time elapsed: 0.024 s
% 1.78/0.61 % (25926)Instructions burned: 51 (million)
% 1.78/0.61 % (25926)------------------------------
% 1.78/0.61 % (25926)------------------------------
% 1.78/0.62 % (25942)Instruction limit reached!
% 1.78/0.62 % (25942)------------------------------
% 1.78/0.62 % (25942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (25942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (25942)Termination reason: Unknown
% 1.78/0.62 % (25942)Termination phase: Finite model building preprocessing
% 1.78/0.62
% 1.78/0.62 % (25942)Memory used [KB]: 1918
% 1.78/0.62 % (25942)Time elapsed: 0.038 s
% 1.78/0.62 % (25942)Instructions burned: 60 (million)
% 1.78/0.62 % (25942)------------------------------
% 1.78/0.62 % (25942)------------------------------
% 1.78/0.62 % (25930)Instruction limit reached!
% 1.78/0.62 % (25930)------------------------------
% 1.78/0.62 % (25930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (25930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (25930)Termination reason: Unknown
% 1.78/0.62 % (25930)Termination phase: Saturation
% 1.78/0.62
% 1.78/0.62 % (25930)Memory used [KB]: 7419
% 1.78/0.62 % (25930)Time elapsed: 0.189 s
% 1.78/0.62 % (25930)Instructions burned: 49 (million)
% 1.78/0.62 % (25930)------------------------------
% 1.78/0.62 % (25930)------------------------------
% 1.78/0.62 % (25935)Instruction limit reached!
% 1.78/0.62 % (25935)------------------------------
% 1.78/0.62 % (25935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.62 % (25935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62 % (25935)Termination reason: Unknown
% 1.78/0.62 % (25935)Termination phase: Saturation
% 1.78/0.62
% 1.78/0.62 % (25935)Memory used [KB]: 7291
% 1.78/0.62 % (25935)Time elapsed: 0.024 s
% 1.78/0.62 % (25935)Instructions burned: 50 (million)
% 1.78/0.62 % (25935)------------------------------
% 1.78/0.62 % (25935)------------------------------
% 2.11/0.63 % (25931)Instruction limit reached!
% 2.11/0.63 % (25931)------------------------------
% 2.11/0.63 % (25931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63 % (25931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63 % (25931)Termination reason: Unknown
% 2.11/0.63 % (25931)Termination phase: Finite model building preprocessing
% 2.11/0.63
% 2.11/0.63 % (25931)Memory used [KB]: 2302
% 2.11/0.63 % (25931)Time elapsed: 0.019 s
% 2.11/0.63 % (25931)Instructions burned: 51 (million)
% 2.11/0.63 % (25931)------------------------------
% 2.11/0.63 % (25931)------------------------------
% 2.11/0.63 % (25934)Instruction limit reached!
% 2.11/0.63 % (25934)------------------------------
% 2.11/0.63 % (25934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63 % (25934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63 % (25934)Termination reason: Unknown
% 2.11/0.63 % (25934)Termination phase: Saturation
% 2.11/0.63
% 2.11/0.63 % (25934)Memory used [KB]: 1791
% 2.11/0.63 % (25934)Time elapsed: 0.024 s
% 2.11/0.63 % (25934)Instructions burned: 51 (million)
% 2.11/0.63 % (25934)------------------------------
% 2.11/0.63 % (25934)------------------------------
% 2.22/0.66 % (25939)Instruction limit reached!
% 2.22/0.66 % (25939)------------------------------
% 2.22/0.66 % (25939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66 % (25939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66 % (25939)Termination reason: Unknown
% 2.22/0.66 % (25939)Termination phase: Saturation
% 2.22/0.66
% 2.22/0.66 % (25939)Memory used [KB]: 7419
% 2.22/0.66 % (25939)Time elapsed: 0.034 s
% 2.22/0.66 % (25939)Instructions burned: 68 (million)
% 2.22/0.66 % (25939)------------------------------
% 2.22/0.66 % (25939)------------------------------
% 2.22/0.68 % (25951)Instruction limit reached!
% 2.22/0.68 % (25951)------------------------------
% 2.22/0.68 % (25951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68 % (25951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68 % (25951)Termination reason: Unknown
% 2.22/0.68 % (25951)Termination phase: Saturation
% 2.22/0.68
% 2.22/0.68 % (25951)Memory used [KB]: 7419
% 2.22/0.68 % (25951)Time elapsed: 0.036 s
% 2.22/0.68 % (25951)Instructions burned: 69 (million)
% 2.22/0.68 % (25951)------------------------------
% 2.22/0.68 % (25951)------------------------------
% 2.22/0.69 % (25956)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)
% 2.22/0.69 % (25955)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.55/0.71 % (25937)Instruction limit reached!
% 2.55/0.71 % (25937)------------------------------
% 2.55/0.71 % (25937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.71 % (25937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.71 % (25937)Termination reason: Unknown
% 2.55/0.71 % (25937)Termination phase: Saturation
% 2.55/0.71
% 2.55/0.71 % (25937)Memory used [KB]: 8187
% 2.55/0.71 % (25937)Time elapsed: 0.272 s
% 2.55/0.71 % (25937)Instructions burned: 102 (million)
% 2.55/0.71 % (25937)------------------------------
% 2.55/0.71 % (25937)------------------------------
% 2.55/0.71 % (25936)Instruction limit reached!
% 2.55/0.71 % (25936)------------------------------
% 2.55/0.71 % (25936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.71 % (25936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.71 % (25936)Termination reason: Unknown
% 2.55/0.71 % (25936)Termination phase: Saturation
% 2.55/0.71
% 2.55/0.71 % (25936)Memory used [KB]: 8571
% 2.55/0.71 % (25936)Time elapsed: 0.294 s
% 2.55/0.71 % (25936)Instructions burned: 101 (million)
% 2.55/0.71 % (25936)------------------------------
% 2.55/0.71 % (25936)------------------------------
% 2.55/0.71 % (25938)Instruction limit reached!
% 2.55/0.71 % (25938)------------------------------
% 2.55/0.71 % (25938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.71 % (25938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.71 % (25938)Termination reason: Unknown
% 2.55/0.71 % (25938)Termination phase: Saturation
% 2.55/0.71
% 2.55/0.71 % (25938)Memory used [KB]: 8059
% 2.55/0.71 % (25938)Time elapsed: 0.290 s
% 2.55/0.71 % (25938)Instructions burned: 99 (million)
% 2.55/0.71 % (25938)------------------------------
% 2.55/0.71 % (25938)------------------------------
% 2.55/0.72 TRYING [5]
% 2.55/0.72 % (25948)First to succeed.
% 2.55/0.72 % (25941)Instruction limit reached!
% 2.55/0.72 % (25941)------------------------------
% 2.55/0.72 % (25941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.72 % (25941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.72 % (25941)Termination reason: Unknown
% 2.55/0.72 % (25941)Termination phase: Saturation
% 2.55/0.72
% 2.55/0.72 % (25941)Memory used [KB]: 7675
% 2.55/0.72 % (25941)Time elapsed: 0.297 s
% 2.55/0.72 % (25941)Instructions burned: 101 (million)
% 2.55/0.72 % (25941)------------------------------
% 2.55/0.72 % (25941)------------------------------
% 2.55/0.73 % (25944)Instruction limit reached!
% 2.55/0.73 % (25944)------------------------------
% 2.55/0.73 % (25944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.73 % (25944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.73 % (25944)Termination reason: Unknown
% 2.55/0.73 % (25944)Termination phase: Saturation
% 2.55/0.73
% 2.55/0.73 % (25944)Memory used [KB]: 2046
% 2.55/0.73 % (25944)Time elapsed: 0.322 s
% 2.55/0.73 % (25944)Instructions burned: 102 (million)
% 2.55/0.73 % (25944)------------------------------
% 2.55/0.73 % (25944)------------------------------
% 2.55/0.73 % (25959)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.55/0.73 % (25943)Instruction limit reached!
% 2.55/0.73 % (25943)------------------------------
% 2.55/0.73 % (25943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.55/0.73 % (25943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.55/0.73 % (25943)Termination reason: Unknown
% 2.55/0.73 % (25943)Termination phase: Saturation
% 2.55/0.73
% 2.55/0.73 % (25943)Memory used [KB]: 8187
% 2.55/0.73 % (25943)Time elapsed: 0.052 s
% 2.55/0.73 % (25943)Instructions burned: 101 (million)
% 2.55/0.73 % (25943)------------------------------
% 2.55/0.73 % (25943)------------------------------
% 2.55/0.75 % (25958)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.55/0.75 % (25957)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)
% 2.55/0.76 % (25965)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)
% 2.80/0.77 % (25962)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)
% 2.80/0.77 % (25960)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)
% 2.80/0.77 % (25966)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.80/0.78 % (25963)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)
% 2.80/0.79 % (25946)Instruction limit reached!
% 2.80/0.79 % (25946)------------------------------
% 2.80/0.79 % (25946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.79 % (25946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.79 % (25946)Termination reason: Unknown
% 2.80/0.79 % (25946)Termination phase: Saturation
% 2.80/0.79
% 2.80/0.79 % (25946)Memory used [KB]: 7931
% 2.80/0.79 % (25946)Time elapsed: 0.069 s
% 2.80/0.79 % (25946)Instructions burned: 138 (million)
% 2.80/0.79 % (25946)------------------------------
% 2.80/0.79 % (25946)------------------------------
% 2.80/0.79 % (25961)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)
% 2.80/0.79 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.80/0.80 % (25964)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)
% 2.80/0.81 % (25967)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.80/0.82 % (25945)Also succeeded, but the first one will report.
% 2.80/0.82 % (25948)Refutation found. Thanks to Tanya!
% 2.80/0.82 % SZS status Theorem for theBenchmark
% 2.80/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.80/0.83 % (25948)------------------------------
% 2.80/0.83 % (25948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.83 % (25948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.83 % (25948)Termination reason: Refutation
% 2.80/0.83
% 2.80/0.83 % (25948)Memory used [KB]: 9210
% 2.80/0.83 % (25948)Time elapsed: 0.209 s
% 2.80/0.83 % (25948)Instructions burned: 151 (million)
% 2.80/0.83 % (25948)------------------------------
% 2.80/0.83 % (25948)------------------------------
% 2.80/0.83 % (25924)Success in time 0.477 s
%------------------------------------------------------------------------------