%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP335-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 : Tue Apr 30 12:01:25 EDT 2024

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f3702,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f125,f139,f565,f695,f833,f867,f1025,f1040,f1205,f1209,f1219,f1223,f2251,f2262,f2267,f2269,f2298,f2303,f2308,f2312,f2316,f2321,f2326,f2331,f2333,f2335,f2338,f2344,f2350,f2582,f2584,f2586,f2588,f2591,f2600,f2607,f2611,f2618,f2622,f2625,f2627,f2630,f2632,f2634,f2637,f2641,f2643,f2645,f2652,f2656,f2660,f2667,f2669,f2671,f2673,f2675,f2677,f2679,f2681,f2683,f2685,f2687,f2689,f2691,f2694,f2697,f2699,f2701,f2703,f2705,f2707,f2710,f2712,f2714,f2716,f2718,f2720,f2722,f2724,f2726,f2728,f2730,f2732,f2734,f2736,f2738,f2740,f2742,f2744,f2746,f2748,f2750,f2752,f2754,f2756,f2758,f2760,f2764,f2768,f2772,f2774,f2776,f2778,f2780,f2784,f2786,f2788,f2790,f2792,f2795,f2797,f2800,f2802,f2805,f2808,f2810,f2812,f2814,f2816,f2818,f2820,f2822,f2824,f2826,f2828,f2830,f2832,f2834,f2837,f2840,f2844,f2846,f2848,f2850,f2852,f2854,f2857,f2859,f2861,f2863,f2865,f2867,f2869,f2871,f2873,f2876,f2878,f2880,f2882,f2887,f2893,f2895,f2898,f2901,f2904,f2906,f2908,f2910,f2912,f2915,f2917,f2919,f2921,f2923,f2925,f2927,f3065,f3067,f3070,f3182,f3185,f3193,f3195,f3198,f3201,f3203,f3209,f3215,f3226,f3228,f3230,f3322,f3325,f3369,f3372,f3375,f3379,f3391,f3396,f3398,f3400,f3402,f3405,f3407,f3461,f3463,f3467,f3469,f3471,f3476,f3481,f3486,f3499,f3504,f3506,f3508,f3510,f3513,f3515,f3517,f3519,f3522,f3524,f3526,f3529,f3533,f3535,f3538,f3540,f3542,f3544,f3546,f3548,f3551,f3555,f3668,f3673,f3701]) ).

fof(f3701,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3700]) ).

fof(f3700,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f64,f66,f70,f71,f65,f86,f76,f88,f98,f77,f101,f79,f104,f103,f80,f105,f81,f107,f84,f108,f82,f83,f99,f20,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f8,f14,f834,f12,f835,f6,f836,f837,f838,f840,f843,f545,f4,f841,f839,f882,f872,f889,f891,f874,f937,f938,f940,f933,f949,f934,f946,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2132,f2119,f2104,f2154,f2145,f1930,f1926,f1920,f2025,f2021,f2421,f1675,f1621,f1613,f1558,f1488,f1482,f1450,f1473,f950,f942,f936,f2547,f2554,f27,f2936,f30,f2938,f32,f2969,f2970,f2971,f2972,f2978,f2974,f2975,f2976,f2977,f3004,f3005,f3014,f3009,f3010,f3012,f24,f26,f43,f3245,f3246,f3247,f3253,f3249,f3250,f3251,f3252,f1439,f3278,f3279,f3288,f3283,f3284,f3286,f3244,f3312,f69,f22,f35,f28,f10,f16,f29,f3561,f31,f3562,f23,f3563,f25,f3564,f7,f5,f17,f3570,f19,f3571,f11,f3574,f13,f3575,f74,f3578,f38,f3579,f3577,f3604,f3605,f3616,f3609,f3610,f3612,f3611,f3620,f3621,f3632,f3625,f3626,f3628,f3645,f3646,f3647,f3648,f3655,f3656,f3658,f3659,f3680,f3681,f3684,f3685,f3696,f3699]) ).

fof(f3699,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f3698,f74]) ).

fof(f3698,plain,
    ( sk_c7 != multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f861,f3579]) ).

fof(f861,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | spl0_9 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f860,plain,
    ( spl0_9
  <=> multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3696,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f3695]) ).

fof(f3695,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3694,f74]) ).

fof(f3694,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c8)
        | sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3693,f3579]) ).

fof(f3693,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3692,f74]) ).

fof(f3692,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3691,f74]) ).

fof(f3691,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3690,f74]) ).

fof(f3690,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3689,f3579]) ).

fof(f3689,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3688,f3579]) ).

fof(f3688,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c7,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f3687,f74]) ).

fof(f3687,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f3686,f74]) ).

fof(f3686,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f35,f74]) ).

fof(f3685,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f3684,f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f8,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f24,f26,f22,f35,f28,f10,f16,f29,f3561,f31,f3562,f23,f3563,f25,f3564,f7,f5,f17,f3570,f19,f3571,f11,f3574,f13,f3575,f74,f38,f3645,f3646,f3647,f3648,f3655,f3656,f3658,f3659]) ).

fof(f3684,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3683,f74]) ).

fof(f3683,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3682,f3579]) ).

fof(f3682,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | multiply(sk_c7,sk_c8) = sk_c6
    | spl0_1 ),
    inference(forward_demodulation,[],[f7,f74]) ).

fof(f3681,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f3680,f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f8,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f24,f26,f22,f35,f28,f10,f16,f29,f3561,f31,f3562,f23,f3563,f25,f3564,f7,f5,f17,f3570,f19,f3571,f11,f3574,f13,f3575,f74,f38,f3645,f3646,f3647,f3648,f3655,f3656,f3658,f3659]) ).

fof(f3680,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3679,f74]) ).

fof(f3679,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3678,f3579]) ).

fof(f3678,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | multiply(sk_c7,sk_c8) = sk_c6
    | spl0_1 ),
    inference(forward_demodulation,[],[f5,f74]) ).

fof(f3659,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3575,f74]) ).

fof(f3658,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3574,f74]) ).

fof(f3656,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3571,f74]) ).

fof(f3655,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3570,f74]) ).

fof(f3648,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3564,f74]) ).

fof(f3647,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3563,f74]) ).

fof(f3646,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3562,f74]) ).

fof(f3645,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f3561,f74]) ).

fof(f3628,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c7) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f3611]) ).

fof(f3626,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f3611]) ).

fof(f3625,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1419,f3611]) ).

fof(f3632,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3624,f1437]) ).

fof(f3624,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f3611]) ).

fof(f3621,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f3611]) ).

fof(f3620,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f3611]) ).

fof(f3611,plain,
    ( sk_c7 = inverse(sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1437,f3577]) ).

fof(f3612,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c3) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f3577]) ).

fof(f3610,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f3577]) ).

fof(f3609,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1419,f3577]) ).

fof(f3616,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3608,f1437]) ).

fof(f3608,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f3577]) ).

fof(f3605,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f3577]) ).

fof(f3604,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f3577]) ).

fof(f3577,plain,
    ( sk_c3 = inverse(sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1439,f74]) ).

fof(f3579,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f69,f74]) ).

fof(f38,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3578,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3244,f74]) ).

fof(f74,plain,
    ( sk_c7 = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f72,f50]) ).

fof(f72,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f65,f51]) ).

fof(f3575,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f8,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29,f3561,f31,f3562,f23,f3563,f25,f3564,f7,f5,f17,f3570,f19,f3571,f11,f3574,f13]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f3574,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f8,f13,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29,f3561,f31,f3562,f23,f3563,f25,f3564,f7,f5,f17,f3570,f19,f3571,f11]) ).

fof(f11,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f3571,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f8,f11,f13,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29,f3561,f31,f3562,f23,f3563,f25,f3564,f7,f5,f17,f3570,f19]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f3570,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f19,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f8,f11,f13,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29,f3561,f31,f3562,f23,f3563,f25,f3564,f7,f5,f17]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f3564,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f19,f17,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f11,f13,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29,f3561,f31,f3562,f23,f3563,f25]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f3563,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f19,f17,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f11,f13,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f25,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29,f3561,f31,f3562,f23]) ).

fof(f23,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f3562,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f19,f17,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f11,f13,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f23,f25,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29,f3561,f31]) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f3561,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f77,f101,f79,f103,f80,f105,f81,f107,f83,f20,f19,f17,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f11,f13,f14,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f31,f23,f25,f24,f26,f22,f35,f28,f10,f16,f38,f74,f29]) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f28,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f35,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(sk_c8,X6)
      | multiply(sk_c7,sk_c8) != sk_c6
      | multiply(X7,sk_c8) != X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f69,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f48]) ).

fof(f3312,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3305,f1]) ).

fof(f3305,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f3244]) ).

fof(f3244,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f3286,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c3) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f1439]) ).

fof(f3284,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f1439]) ).

fof(f3283,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f1419,f1439]) ).

fof(f3288,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3282,f1437]) ).

fof(f3282,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f1439]) ).

fof(f3279,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f1439]) ).

fof(f3278,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f1439]) ).

fof(f1439,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1420,f841]) ).

fof(f3252,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f43]) ).

fof(f3251,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1437,f43]) ).

fof(f3250,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f43]) ).

fof(f3249,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1419,f43]) ).

fof(f3253,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3248,f1437]) ).

fof(f3248,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f43]) ).

fof(f3247,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f366,f43]) ).

fof(f3246,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f353,f43]) ).

fof(f3245,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f43]) ).

fof(f43,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f3012,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c3) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f1439]) ).

fof(f3010,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f1439]) ).

fof(f3009,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f1419,f1439]) ).

fof(f3014,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f3008,f1437]) ).

fof(f3008,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f1439]) ).

fof(f3005,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f1439]) ).

fof(f3004,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f1439]) ).

fof(f2977,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f43]) ).

fof(f2976,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1437,f43]) ).

fof(f2975,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f43]) ).

fof(f2974,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1419,f43]) ).

fof(f2978,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2973,f1437]) ).

fof(f2973,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f43]) ).

fof(f2972,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f366,f43]) ).

fof(f2971,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f353,f43]) ).

fof(f2970,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f43]) ).

fof(f2969,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f2938,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f64,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f834,f12,f835,f6,f836,f43,f837,f838,f840,f843,f545,f4,f841,f839,f882,f872,f889,f891,f874,f937,f938,f940,f933,f949,f934,f946,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2132,f2119,f2104,f2154,f2145,f1930,f1926,f1920,f2025,f2021,f2421,f1675,f1621,f1613,f1558,f1488,f1482,f1450,f1473,f950,f942,f936,f1439,f2547,f2554,f25,f26,f27,f24,f2936,f23,f30]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f2936,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f45,f3,f64,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f35,f834,f12,f835,f6,f836,f43,f837,f838,f840,f843,f545,f4,f841,f839,f882,f872,f889,f891,f874,f937,f938,f940,f933,f949,f934,f946,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2132,f2119,f2104,f2154,f2145,f1930,f1926,f1920,f2025,f2021,f2421,f1675,f1621,f1613,f1558,f1488,f1482,f1450,f1473,f950,f942,f936,f1439,f2547,f2554,f25,f26,f27,f24]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f2554,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c3) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f1439]) ).

fof(f2547,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f1439]) ).

fof(f936,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f874,f61]) ).

fof(f942,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f874]) ).

fof(f950,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f948,f1]) ).

fof(f948,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f933]) ).

fof(f1473,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1445,f934]) ).

fof(f1445,plain,
    ( inverse(sk_c8) = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f1420,f874]) ).

fof(f1450,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f841,f1420]) ).

fof(f1482,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1456,f934]) ).

fof(f1456,plain,
    ( inverse(sk_c8) = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f874,f1420]) ).

fof(f1488,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1437,f43]) ).

fof(f1558,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f43]) ).

fof(f1613,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1580,f366]) ).

fof(f1580,plain,
    ( ! [X0] : multiply(sk_c3,multiply(inverse(inverse(sk_c8)),X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1421,f874]) ).

fof(f1621,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1585,f366]) ).

fof(f1585,plain,
    ( ! [X0] : multiply(sk_c3,multiply(inverse(inverse(sk_c8)),X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f874,f1421]) ).

fof(f1675,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c3,inverse(multiply(X0,inverse(sk_c8)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f1518,f874]) ).

fof(f2421,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1895,f1988]) ).

fof(f1895,plain,
    ( ! [X0] : inverse(sk_c8) = multiply(multiply(sk_c3,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1869,f839]) ).

fof(f2021,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2020,f934]) ).

fof(f2020,plain,
    ( inverse(sk_c8) = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1912,f545]) ).

fof(f1912,plain,
    ( inverse(sk_c8) = multiply(sk_c3,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1869,f840]) ).

fof(f2025,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2024,f1437]) ).

fof(f2024,plain,
    ( sk_c3 = inverse(inverse(inverse(sk_c8)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2023,f934]) ).

fof(f2023,plain,
    ( inverse(inverse(inverse(sk_c8))) = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1913,f545]) ).

fof(f1913,plain,
    ( inverse(inverse(inverse(sk_c8))) = multiply(sk_c3,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1869,f872]) ).

fof(f1920,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c3,inverse(multiply(X0,inverse(sk_c8))))
    | ~ spl0_2 ),
    inference(superposition,[],[f1869,f874]) ).

fof(f1926,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c3,inverse(multiply(X0,inverse(sk_c8))))
    | ~ spl0_2 ),
    inference(superposition,[],[f874,f1869]) ).

fof(f1930,plain,
    ( ! [X0] : multiply(sk_c8,inverse(X0)) = inverse(multiply(X0,sk_c3))
    | ~ spl0_2 ),
    inference(superposition,[],[f839,f1869]) ).

fof(f2145,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2088,f1988]) ).

fof(f2088,plain,
    ( ! [X0] : inverse(sk_c8) = multiply(multiply(sk_c3,X0),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f874]) ).

fof(f2154,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2153,f934]) ).

fof(f2153,plain,
    ( inverse(sk_c8) = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2094,f545]) ).

fof(f2094,plain,
    ( inverse(sk_c8) = multiply(sk_c3,inverse(identity))
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f841]) ).

fof(f2104,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c3,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f839]) ).

fof(f2119,plain,
    ( sk_c3 = multiply(identity,inverse(sk_c8))
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f933]) ).

fof(f2132,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1988,f43]) ).

fof(f2140,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1988]) ).

fof(f2139,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f61,f1988]) ).

fof(f2138,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f1518,f1988]) ).

fof(f2137,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1869,f1988]) ).

fof(f2129,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1988,f1437]) ).

fof(f2108,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1988,f1421]) ).

fof(f2090,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1988,f3]) ).

fof(f1988,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1898,f1437]) ).

fof(f1898,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1869,f61]) ).

fof(f1938,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1869]) ).

fof(f1937,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1421,f1869]) ).

fof(f1935,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1869]) ).

fof(f1934,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f61,f1869]) ).

fof(f2082,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1933,f1437]) ).

fof(f1933,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f1518,f1869]) ).

fof(f1922,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1869,f3]) ).

fof(f1992,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1902,f1437]) ).

fof(f1902,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1869,f1869]) ).

fof(f1899,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1869,f1421]) ).

fof(f1881,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1869,f3]) ).

fof(f1869,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1708,f1420]) ).

fof(f1708,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f61,f1518]) ).

fof(f1874,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1712,f3]) ).

fof(f1712,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f1518]) ).

fof(f1873,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1711,f1420]) ).

fof(f1711,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f1421,f1518]) ).

fof(f1871,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1870,f3]) ).

fof(f1870,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1709,f1]) ).

fof(f1709,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f1518]) ).

fof(f1826,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1690,f3]) ).

fof(f1690,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f1518,f3]) ).

fof(f1677,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f1518,f3]) ).

fof(f1637,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f1518,f3]) ).

fof(f1518,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1419,f3]) ).

fof(f1594,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f1421]) ).

fof(f1582,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f1421,f3]) ).

fof(f1421,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f366,f61]) ).

fof(f1531,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f1419]) ).

fof(f1551,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1529,f1]) ).

fof(f1529,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f1419]) ).

fof(f1419,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f366,f2]) ).

fof(f1501,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f1437]) ).

fof(f1500,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f1437]) ).

fof(f1437,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f1420,f353]) ).

fof(f1484,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1465,f1420]) ).

fof(f1465,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f366,f1420]) ).

fof(f1448,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f353,f1420]) ).

fof(f1475,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1446,f1420]) ).

fof(f1446,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f1420,f366]) ).

fof(f1420,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f366,f353]) ).

fof(f1430,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f366]) ).

fof(f1429,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f353,f366]) ).

fof(f1427,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f61,f366]) ).

fof(f1426,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f366]) ).

fof(f366,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f61,f61]) ).

fof(f946,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f839,f933]) ).

fof(f934,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f874,f841]) ).

fof(f949,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f947,f43]) ).

fof(f947,plain,
    ( sk_c8 = multiply(inverse(sk_c3),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f933]) ).

fof(f933,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f874,f2]) ).

fof(f940,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f841,f874]) ).

fof(f938,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f874]) ).

fof(f937,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f874]) ).

fof(f874,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f873,f1]) ).

fof(f873,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f841]) ).

fof(f891,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f890,f1]) ).

fof(f890,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f872]) ).

fof(f889,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f872]) ).

fof(f872,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f841]) ).

fof(f882,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f839]) ).

fof(f839,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f43]) ).

fof(f841,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f840]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f545,plain,
    identity = inverse(identity),
    inference(superposition,[],[f530,f353]) ).

fof(f843,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f842,f1]) ).

fof(f842,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f840]) ).

fof(f840,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f838,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f353,f43]) ).

fof(f837,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f43]) ).

fof(f836,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f43,f45,f3,f64,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f27,f15,f9,f4,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f834,f12,f835,f6]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f835,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f43,f45,f3,f64,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f6,f27,f15,f9,f4,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f834,f12]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f834,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f43,f45,f3,f64,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f6,f12,f27,f15,f9,f4,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f352,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f61,f1]) ).

fof(f548,plain,
    identity = inverse(identity),
    inference(superposition,[],[f353,f530]) ).

fof(f558,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f547,f1]) ).

fof(f547,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f530]) ).

fof(f546,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f61,f530]) ).

fof(f530,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f61,f353]) ).

fof(f540,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f531,f1]) ).

fof(f531,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f353]) ).

fof(f353,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f61,f2]) ).

fof(f356,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f61,f3]) ).

fof(f61,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f53,f1]) ).

fof(f53,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f99,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f33,f21,f30,f12,f15,f27,f24,f9,f6,f20,f32,f28,f16,f29,f17,f31,f19,f14,f26,f8,f10,f11,f13,f22,f4,f23,f25,f5,f7,f35,f1,f2,f18,f38,f43,f45,f46,f47,f48,f49,f50,f51,f3,f61,f55,f56,f57,f59,f64,f66,f70,f71,f69,f65,f74,f77,f86,f79,f80,f81,f82,f83,f84,f76,f88,f98]) ).

fof(f83,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f65,f74]) ).

fof(f82,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f74]) ).

fof(f108,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f84]) ).

fof(f84,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f74]) ).

fof(f107,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f81]) ).

fof(f81,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f51,f74]) ).

fof(f105,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f80]) ).

fof(f80,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f50,f74]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f79]) ).

fof(f104,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f102,f74]) ).

fof(f102,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f79]) ).

fof(f79,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f49,f74]) ).

fof(f101,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f100,f1]) ).

fof(f100,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f77]) ).

fof(f77,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f47,f74]) ).

fof(f98,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,sk_c7)
        | sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f97,f74]) ).

fof(f97,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(sk_c7,sk_c8)
        | sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f96,f69]) ).

fof(f96,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f95,f74]) ).

fof(f95,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f94,f74]) ).

fof(f94,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f93,f74]) ).

fof(f93,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f92,f74]) ).

fof(f92,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f91,f69]) ).

fof(f91,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f90,f74]) ).

fof(f90,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(forward_demodulation,[],[f89,f74]) ).

fof(f89,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f35,f48]) ).

fof(f88,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f87,f1]) ).

fof(f87,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f76]) ).

fof(f76,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f74]) ).

fof(f86,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f85,f74]) ).

fof(f85,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f78,f69]) ).

fof(f78,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f48,f74]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f71,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f66]) ).

fof(f70,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f66]) ).

fof(f66,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f49]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f51]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f51,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f38]) ).

fof(f50,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f19,f38]) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f17,f38]) ).

fof(f48,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f38]) ).

fof(f47,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f21,f38]) ).

fof(f45,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f3673,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3672]) ).

fof(f3672,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3671,f1038]) ).

fof(f1038,plain,
    ( identity != sk_c7
    | spl0_12 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1037,plain,
    ( spl0_12
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f3671,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3664,f2]) ).

fof(f3664,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f3634]) ).

fof(f3634,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3633,f74]) ).

fof(f3633,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f862,f3579]) ).

fof(f862,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f3668,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3667]) ).

fof(f3667,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3666,f1038]) ).

fof(f3666,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3661,f1419]) ).

fof(f3661,plain,
    ( sk_c7 = multiply(sk_c7,inverse(sk_c7))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f1988,f3634]) ).

fof(f3555,plain,
    ( ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3554]) ).

fof(f3554,plain,
    ( $false
    | ~ spl0_9
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f862,f865,f868,f877,f892,f893,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f2120,f2364,f2117,f2412,f2414,f1907,f1665,f2443,f1662,f2476,f878,f869,f27,f30,f32,f2958,f2962,f29,f31,f23,f25,f24,f26,f1039,f3412,f3414,f3419,f3421,f3429,f3440,f3442,f3445,f3447,f1257,f2960,f3451,f3433,f3474,f3479,f3484,f3497,f3502,f3549,f3553]) ).

fof(f3553,plain,
    ( sk_c8 != sk_c6
    | spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3552,f1420]) ).

fof(f3552,plain,
    ( sk_c6 != multiply(sk_c8,identity)
    | spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f865,f1039]) ).

fof(f3549,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f954,f1039]) ).

fof(f954,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f10,f865]) ).

fof(f3502,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c8 = sk_c6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3501,f1039]) ).

fof(f3501,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3500,f1420]) ).

fof(f3500,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f22,f1039]) ).

fof(f3497,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c6
        | identity != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5) )
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f3496]) ).

fof(f3496,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c6
        | identity != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | sk_c8 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3495,f1]) ).

fof(f3495,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(identity,sk_c8)
        | identity != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | sk_c8 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3494,f1039]) ).

fof(f3494,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | sk_c8 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3493,f1039]) ).

fof(f3493,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | sk_c8 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3492,f1039]) ).

fof(f3492,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | sk_c8 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3491,f1039]) ).

fof(f3491,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | sk_c8 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3490,f1039]) ).

fof(f3490,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3489,f1420]) ).

fof(f3489,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c8,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3488,f1039]) ).

fof(f3488,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3487,f1039]) ).

fof(f3487,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f35,f1039]) ).

fof(f3484,plain,
    ( sk_c8 = sk_c6
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3483,f1420]) ).

fof(f3483,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3482,f1039]) ).

fof(f3482,plain,
    ( identity = inverse(sk_c2)
    | sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f28,f1039]) ).

fof(f3479,plain,
    ( sk_c8 = sk_c6
    | sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3478,f1420]) ).

fof(f3478,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3477,f1039]) ).

fof(f3477,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f10,f1039]) ).

fof(f3474,plain,
    ( sk_c8 = sk_c6
    | identity = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3473,f1420]) ).

fof(f3473,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | identity = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3472,f1039]) ).

fof(f3472,plain,
    ( identity = inverse(sk_c1)
    | sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f16,f1039]) ).

fof(f3433,plain,
    ( sk_c8 = sk_c6
    | identity = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3432,f1]) ).

fof(f3432,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | identity = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3431,f1039]) ).

fof(f3431,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f7,f1039]) ).

fof(f3451,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3450,f1]) ).

fof(f3450,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f862,f1039]) ).

fof(f2960,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2949,f545]) ).

fof(f2949,plain,
    ( sk_c8 = multiply(inverse(identity),sk_c6)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f868,f1039]) ).

fof(f1257,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1232,f1]) ).

fof(f1232,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f862,f1039]) ).

fof(f3447,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3446,f1039]) ).

fof(f3446,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f29,f1039]) ).

fof(f3445,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3444,f1039]) ).

fof(f3444,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f31,f1039]) ).

fof(f3442,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3441,f1039]) ).

fof(f3441,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f23,f1039]) ).

fof(f3440,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3439,f1039]) ).

fof(f3439,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f1039]) ).

fof(f3429,plain,
    ( sk_c8 = sk_c6
    | identity = multiply(sk_c3,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3428,f1]) ).

fof(f3428,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | identity = multiply(sk_c3,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3427,f1039]) ).

fof(f3427,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f5,f1039]) ).

fof(f3421,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | identity = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3420,f1039]) ).

fof(f3420,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f17,f1039]) ).

fof(f3419,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3418,f1039]) ).

fof(f3418,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f19,f1039]) ).

fof(f3414,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3413,f1039]) ).

fof(f3413,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f11,f1039]) ).

fof(f3412,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3411,f1039]) ).

fof(f3411,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f13,f1039]) ).

fof(f1039,plain,
    ( identity = sk_c7
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f2962,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2961,f1]) ).

fof(f2961,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2950,f1437]) ).

fof(f2950,plain,
    ( sk_c6 = multiply(inverse(inverse(identity)),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f877,f1039]) ).

fof(f2958,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2947,f1]) ).

fof(f2947,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f862,f1039]) ).

fof(f869,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f862]) ).

fof(f878,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f868]) ).

fof(f2476,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f893,f1437]) ).

fof(f1662,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(sk_c6)))
    | ~ spl0_9 ),
    inference(superposition,[],[f1518,f862]) ).

fof(f2443,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(sk_c6)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1663,f1437]) ).

fof(f1663,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,inverse(sk_c6)))
    | ~ spl0_9 ),
    inference(superposition,[],[f1518,f877]) ).

fof(f1665,plain,
    ( identity = multiply(inverse(sk_c7),multiply(sk_c6,inverse(sk_c8)))
    | ~ spl0_9 ),
    inference(superposition,[],[f1518,f868]) ).

fof(f1907,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9 ),
    inference(superposition,[],[f1869,f862]) ).

fof(f2414,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1908,f1437]) ).

fof(f1908,plain,
    ( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9 ),
    inference(superposition,[],[f1869,f877]) ).

fof(f2412,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1910,f1437]) ).

fof(f1910,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9 ),
    inference(superposition,[],[f1869,f868]) ).

fof(f2117,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9 ),
    inference(superposition,[],[f1988,f862]) ).

fof(f2364,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2118,f1437]) ).

fof(f2118,plain,
    ( inverse(inverse(sk_c7)) = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9 ),
    inference(superposition,[],[f1988,f877]) ).

fof(f2120,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9 ),
    inference(superposition,[],[f1988,f868]) ).

fof(f2522,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,X0)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2521,f1]) ).

fof(f2521,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(identity,multiply(sk_c8,X0))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f869,f1039]) ).

fof(f2500,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1234,f545]) ).

fof(f1234,plain,
    ( sk_c8 = multiply(inverse(identity),sk_c6)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f868,f1039]) ).

fof(f1265,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1264,f1]) ).

fof(f1264,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1263,f545]) ).

fof(f1263,plain,
    ( sk_c6 = multiply(inverse(identity),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1235,f545]) ).

fof(f1235,plain,
    ( sk_c6 = multiply(inverse(inverse(identity)),sk_c8)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f877,f1039]) ).

fof(f2486,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(identity,multiply(sk_c6,X0))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2485,f545]) ).

fof(f2485,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(identity),multiply(sk_c6,X0))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f878,f1039]) ).

fof(f2478,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,X0)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2477,f1]) ).

fof(f2477,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(identity,multiply(sk_c8,X0))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2476,f1039]) ).

fof(f2445,plain,
    ( identity = multiply(identity,multiply(sk_c8,inverse(sk_c6)))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1662,f1039]) ).

fof(f2444,plain,
    ( identity = multiply(identity,multiply(sk_c8,inverse(sk_c6)))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2443,f1039]) ).

fof(f2442,plain,
    ( identity = multiply(identity,multiply(sk_c6,inverse(sk_c8)))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2441,f545]) ).

fof(f2441,plain,
    ( identity = multiply(inverse(identity),multiply(sk_c6,inverse(sk_c8)))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1665,f1039]) ).

fof(f2418,plain,
    ( identity = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2417,f545]) ).

fof(f2417,plain,
    ( inverse(identity) = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1907,f1039]) ).

fof(f2416,plain,
    ( identity = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2415,f545]) ).

fof(f2415,plain,
    ( inverse(identity) = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2414,f1039]) ).

fof(f2413,plain,
    ( identity = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2412,f1039]) ).

fof(f2366,plain,
    ( identity = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2117,f1039]) ).

fof(f2365,plain,
    ( identity = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2364,f1039]) ).

fof(f2363,plain,
    ( identity = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2362,f545]) ).

fof(f2362,plain,
    ( inverse(identity) = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2120,f1039]) ).

fof(f893,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f877]) ).

fof(f892,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f877]) ).

fof(f877,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f868]) ).

fof(f868,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f862]) ).

fof(f865,plain,
    ( sk_c6 != multiply(sk_c8,sk_c7)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_10
  <=> sk_c6 = multiply(sk_c8,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3551,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3550]) ).

fof(f3550,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3549,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3548,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3547]) ).

fof(f3547,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1035,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1035,plain,
    ( identity = sk_c6
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1033,plain,
    ( spl0_11
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f3546,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3545]) ).

fof(f3545,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1623,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1623,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1622,f1]) ).

fof(f1622,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = X0
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1621,f1258]) ).

fof(f1258,plain,
    ( identity = sk_c8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1257,f1035]) ).

fof(f3544,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3543]) ).

fof(f3543,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1258,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3542,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3541]) ).

fof(f3541,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1298,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1298,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1276,f2]) ).

fof(f1276,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f841,f1258]) ).

fof(f3540,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3539]) ).

fof(f3539,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1597,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1597,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1596,f1]) ).

fof(f1596,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = X0
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1558,f1258]) ).

fof(f3538,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3537]) ).

fof(f3537,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3536,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3536,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1272,f870]) ).

fof(f870,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f841,f729]) ).

fof(f729,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f718]) ).

fof(f718,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f138]) ).

fof(f138,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1272,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f718,f1258]) ).

fof(f3535,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3534]) ).

fof(f3534,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1275,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1275,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f840,f1258]) ).

fof(f3533,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3532]) ).

fof(f3532,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3531,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3531,plain,
    ( identity = sk_c6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3530,f1039]) ).

fof(f3530,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1277,f1420]) ).

fof(f1277,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f862,f1258]) ).

fof(f3529,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3528]) ).

fof(f3528,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3527,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3527,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1601,f870]) ).

fof(f1601,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1600,f1]) ).

fof(f1600,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1559,f1258]) ).

fof(f1559,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f1421,f138]) ).

fof(f3526,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3525]) ).

fof(f3525,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1602,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1602,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1601,f870]) ).

fof(f3524,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3523]) ).

fof(f3523,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1282,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1282,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f933,f1258]) ).

fof(f3522,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3521]) ).

fof(f3521,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3520,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3520,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1532,f870]) ).

fof(f1532,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1511,f1258]) ).

fof(f1511,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f1419,f138]) ).

fof(f3519,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3518]) ).

fof(f3518,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1533,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1533,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1532,f870]) ).

fof(f3517,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3516]) ).

fof(f3516,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1615,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1615,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1614,f1]) ).

fof(f1614,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = X0
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1613,f1258]) ).

fof(f3515,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3514]) ).

fof(f3514,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1289,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1289,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1272,f870]) ).

fof(f3513,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3512]) ).

fof(f3512,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1292,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f1292,plain,
    ( identity = sk_c4
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1273,f2]) ).

fof(f1273,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f729,f1258]) ).

fof(f3510,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3509]) ).

fof(f3509,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3459,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3459,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f74,f1039]) ).

fof(f3508,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3507]) ).

fof(f3507,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f69,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3506,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3505]) ).

fof(f3505,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3465,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3465,plain,
    ( identity != inverse(sk_c1)
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f38,f1039]) ).

fof(f3504,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3503]) ).

fof(f3503,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3502,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3499,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3498]) ).

fof(f3498,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3497,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3486,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3485]) ).

fof(f3485,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3484,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3481,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3480]) ).

fof(f3480,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3479,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3476,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3475]) ).

fof(f3475,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3474,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3471,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3470]) ).

fof(f3470,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3425,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3425,plain,
    ( sk_c8 = sk_c6
    | multiply(sk_c3,sk_c8) = sk_c5
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3424,f1]) ).

fof(f3424,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | multiply(sk_c3,sk_c8) = sk_c5
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3380,f1039]) ).

fof(f3380,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f8,f870]) ).

fof(f3469,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3468]) ).

fof(f3468,plain,
    ( $false
    | spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3433,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f865,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f24,f26]) ).

fof(f3467,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3466]) ).

fof(f3466,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f862,f868,f877,f892,f893,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f2120,f2364,f2117,f2412,f2414,f1907,f1665,f2443,f1662,f2476,f878,f869,f27,f30,f32,f2958,f2962,f2964,f29,f31,f23,f25,f24,f26,f1039,f3412,f3414,f3419,f3421,f3429,f3433,f3440,f3442,f3445,f3447,f1034,f1257,f2960,f2528,f3451,f3459,f3465]) ).

fof(f2528,plain,
    ( identity != sk_c8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1034,f1257]) ).

fof(f1034,plain,
    ( identity != sk_c6
    | spl0_11 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f2964,plain,
    ( identity != sk_c8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1034,f1257]) ).

fof(f3463,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3462]) ).

fof(f3462,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f69,f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f862,f868,f877,f892,f893,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f2120,f2364,f2117,f2412,f2414,f1907,f1665,f2443,f1662,f2476,f878,f869,f27,f30,f32,f2958,f2962,f2964,f29,f31,f23,f25,f24,f26,f1039,f3412,f3414,f3419,f3421,f3429,f3433,f3440,f3442,f3445,f3447,f1034,f1257,f2960,f2528,f3451,f3459]) ).

fof(f3461,plain,
    ( spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3460]) ).

fof(f3460,plain,
    ( $false
    | spl0_1
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f38,f46,f47,f48,f49,f50,f51,f3,f55,f56,f57,f59,f65,f74,f77,f101,f79,f103,f80,f105,f81,f107,f83,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f862,f868,f877,f892,f893,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f2120,f2364,f2117,f2412,f2414,f1907,f1665,f2443,f1662,f2476,f878,f869,f27,f30,f32,f2958,f2962,f2964,f29,f31,f23,f25,f24,f26,f1039,f3412,f3414,f3419,f3421,f3429,f3433,f3440,f3442,f3445,f3447,f1034,f1257,f2960,f2528,f3451,f3459]) ).

fof(f3407,plain,
    ( spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3406]) ).

fof(f3406,plain,
    ( $false
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1034,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377,f3389]) ).

fof(f3389,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c6
        | identity != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3388,f1]) ).

fof(f3388,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(identity,sk_c8)
        | identity != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5) )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3387,f1039]) ).

fof(f3387,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c8,multiply(X7,sk_c8))
        | identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3386,f1039]) ).

fof(f3386,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3385,f1039]) ).

fof(f3385,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,identity)
        | sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3384,f1039]) ).

fof(f3384,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3383,f1039]) ).

fof(f3383,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3382,f1039]) ).

fof(f3382,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1392,f1039]) ).

fof(f1392,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c7,sk_c8) != sk_c6 )
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f35,f866]) ).

fof(f3377,plain,
    ( sk_c8 != sk_c6
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3376,f1]) ).

fof(f3376,plain,
    ( sk_c6 != multiply(identity,sk_c8)
    | spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f861,f1039]) ).

fof(f2959,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2948,f1420]) ).

fof(f2948,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f866,f1039]) ).

fof(f2648,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1233,f1420]) ).

fof(f1233,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f866,f1039]) ).

fof(f2368,plain,
    ( sk_c8 = multiply(sk_c6,identity)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2367,f545]) ).

fof(f2367,plain,
    ( sk_c8 = multiply(sk_c6,inverse(identity))
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2115,f1039]) ).

fof(f3351,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3340,f1420]) ).

fof(f3340,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f866,f1039]) ).

fof(f1030,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c6)
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f866]) ).

fof(f1031,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f866]) ).

fof(f1660,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(sk_c6)))
    | ~ spl0_10 ),
    inference(superposition,[],[f1518,f866]) ).

fof(f1905,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_10 ),
    inference(superposition,[],[f1869,f866]) ).

fof(f2115,plain,
    ( sk_c8 = multiply(sk_c6,inverse(sk_c7))
    | ~ spl0_10 ),
    inference(superposition,[],[f1988,f866]) ).

fof(f2527,plain,
    ( identity = multiply(inverse(sk_c8),sk_c6)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1030,f1039]) ).

fof(f2520,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,X0)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2519,f1]) ).

fof(f2519,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1031,f1039]) ).

fof(f2447,plain,
    ( identity = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2446,f1]) ).

fof(f2446,plain,
    ( identity = multiply(sk_c8,multiply(identity,inverse(sk_c6)))
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1660,f1039]) ).

fof(f2419,plain,
    ( inverse(sk_c8) = multiply(identity,inverse(sk_c6))
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1905,f1039]) ).

fof(f866,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f3405,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3404]) ).

fof(f3404,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2558,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377,f3389]) ).

fof(f2558,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1153,f1034]) ).

fof(f1153,plain,
    ( identity = sk_c6
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1152,f897]) ).

fof(f897,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f361,f2]) ).

fof(f361,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f128]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f127,f1]) ).

fof(f127,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f126]) ).

fof(f126,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f1152,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1151,f933]) ).

fof(f1151,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f14,f870]) ).

fof(f3402,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3401]) ).

fof(f3401,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3068,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377,f3389]) ).

fof(f3068,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3059,f1419]) ).

fof(f3059,plain,
    ( sk_c8 = multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1988,f3027]) ).

fof(f3027,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3026,f1039]) ).

fof(f3026,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_demodulation,[],[f2928,f2558]) ).

fof(f2928,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f61,f356,f353,f540,f530,f546,f558,f548,f543,f528,f352,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f1034,f2658,f2620,f2609,f2657,f987,f2619,f2608,f2885,f1928,f2106,f2134,f2113,f2101,f2855,f2143,f1931,f1925,f1919,f2838,f2835,f2425,f1674,f2806,f1490,f2798,f1449,f2793,f1438,f1115]) ).

fof(f1115,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f13,f897]) ).

fof(f1438,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1420,f377]) ).

fof(f2793,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1444,f898]) ).

fof(f1444,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1420,f361]) ).

fof(f1449,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f377,f1420]) ).

fof(f2798,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1455,f898]) ).

fof(f1455,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f361,f1420]) ).

fof(f1490,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1437,f39]) ).

fof(f2806,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1523,f898]) ).

fof(f1523,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f899,f1419]) ).

fof(f1674,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c1,inverse(multiply(X0,inverse(sk_c7)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f1518,f361]) ).

fof(f2425,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1892,f1988]) ).

fof(f1892,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c1,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1869,f128]) ).

fof(f2835,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2030,f898]) ).

fof(f2030,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1915,f545]) ).

fof(f1915,plain,
    ( inverse(sk_c7) = multiply(sk_c1,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1869,f126]) ).

fof(f2838,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2033,f898]) ).

fof(f2033,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2032,f1437]) ).

fof(f2032,plain,
    ( multiply(sk_c1,identity) = inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1916,f545]) ).

fof(f1916,plain,
    ( inverse(inverse(inverse(sk_c7))) = multiply(sk_c1,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1869,f849]) ).

fof(f1919,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c1,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f1869,f361]) ).

fof(f1925,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c1,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f361,f1869]) ).

fof(f1931,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f128,f1869]) ).

fof(f2143,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2087,f1988]) ).

fof(f2087,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c1,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1988,f361]) ).

fof(f2855,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2151,f898]) ).

fof(f2151,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2093,f545]) ).

fof(f2093,plain,
    ( inverse(sk_c7) = multiply(sk_c1,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1988,f377]) ).

fof(f2101,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1988,f128]) ).

fof(f2113,plain,
    ( sk_c1 = multiply(identity,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1988,f897]) ).

fof(f2134,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1988,f39]) ).

fof(f2106,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1988,f899]) ).

fof(f1928,plain,
    ( ! [X0] : multiply(sk_c1,inverse(X0)) = inverse(multiply(X0,sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f899,f1869]) ).

fof(f2885,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2884,f898]) ).

fof(f2884,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1703,f1869]) ).

fof(f1703,plain,
    ( ! [X0] : multiply(sk_c1,identity) = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f899,f1518]) ).

fof(f2608,plain,
    ( identity = sk_c6
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f14,f897]) ).

fof(f2619,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f15,f897]) ).

fof(f987,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f11,f897]) ).

fof(f2657,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f12,f897]) ).

fof(f2609,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2608,f1034]) ).

fof(f2620,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2619,f1034]) ).

fof(f2658,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2657,f1034]) ).

fof(f1029,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10,f897]) ).

fof(f899,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f361,f61]) ).

fof(f908,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f128,f897]) ).

fof(f898,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f361,f377]) ).

fof(f912,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f910,f1]) ).

fof(f910,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f897]) ).

fof(f911,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f909,f39]) ).

fof(f909,plain,
    ( sk_c7 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f897]) ).

fof(f905,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f361]) ).

fof(f904,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f377,f361]) ).

fof(f902,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f361]) ).

fof(f901,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f361]) ).

fof(f887,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f886,f1]) ).

fof(f886,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f849]) ).

fof(f885,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f849]) ).

fof(f849,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f377]) ).

fof(f851,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f850,f1]) ).

fof(f850,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f377]) ).

fof(f377,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f126]) ).

fof(f528,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f353,f39]) ).

fof(f543,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f530,f39]) ).

fof(f3400,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3399]) ).

fof(f3399,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3073,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377,f3389]) ).

fof(f3073,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3072,f545]) ).

fof(f3072,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3071,f1439]) ).

fof(f3071,plain,
    ( inverse(identity) = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3060,f1]) ).

fof(f3060,plain,
    ( inverse(sk_c8) = multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1869,f3027]) ).

fof(f3398,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3397]) ).

fof(f3397,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3057,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377,f3389]) ).

fof(f3057,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f3027,f1420]) ).

fof(f3396,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3395]) ).

fof(f3395,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f3058,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377,f3389]) ).

fof(f3058,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1420,f3027]) ).

fof(f3391,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3390]) ).

fof(f3390,plain,
    ( $false
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377,f3389]) ).

fof(f3379,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3378]) ).

fof(f3378,plain,
    ( $false
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2419,f2447,f2520,f2527,f2115,f1905,f1660,f1031,f1030,f27,f30,f32,f29,f31,f23,f25,f24,f26,f1039,f3351,f2368,f2648,f2959,f3377]) ).

fof(f3375,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3374]) ).

fof(f3374,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f64,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f715,f716,f717,f718,f731,f5,f7,f8,f10,f11,f13,f14,f22,f35,f834,f12,f835,f6,f836,f837,f838,f840,f843,f545,f729,f856,f858,f4,f841,f871,f880,f881,f839,f882,f888,f872,f889,f891,f932,f874,f943,f937,f938,f940,f945,f933,f949,f934,f946,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2360,f2132,f2119,f2104,f2377,f2154,f2145,f1930,f1926,f1920,f2409,f2025,f2021,f2419,f2421,f1675,f2447,f1621,f1613,f2453,f1558,f2463,f1488,f1482,f2467,f1450,f1473,f2473,f2520,f950,f942,f936,f2527,f2547,f2554,f2115,f1905,f1660,f1031,f1030,f27,f2936,f30,f2938,f32,f1034,f2969,f2970,f2971,f2972,f2978,f2974,f2975,f2976,f2977,f3004,f3005,f3014,f3009,f3010,f3012,f29,f31,f3080,f3081,f23,f3083,f3084,f25,f3085,f133,f3079,f3152,f3156,f24,f3231,f3224,f3082,f138,f2935,f1440,f1451,f1489,f2028,f2157,f3210,f26,f3232,f3155,f3154,f3153,f870,f43,f3245,f3246,f3247,f3253,f3249,f3250,f3251,f3252,f3078,f3258,f3263,f3260,f3264,f3262,f1439,f3278,f3279,f3288,f3283,f3284,f3286,f3295,f3244,f3312,f3296,f3326,f3327,f3328,f3329,f3319,f2997,f1039,f3346,f3351,f1259,f2368,f2648,f2959,f3370,f3373]) ).

fof(f3373,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3313,f1039]) ).

fof(f3313,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f3296,f866]) ).

fof(f3370,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3314,f1039]) ).

fof(f3314,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f866,f3296]) ).

fof(f1259,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1233,f946]) ).

fof(f3346,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f3296,f1039]) ).

fof(f2997,plain,
    ( identity != inverse(sk_c2)
    | spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f133,f1039]) ).

fof(f3319,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f3296]) ).

fof(f3329,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3318,f1439]) ).

fof(f3318,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f3296]) ).

fof(f3328,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3317,f1419]) ).

fof(f3317,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(sk_c7)))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f1518,f3296]) ).

fof(f3327,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3316,f1419]) ).

fof(f3316,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f1869,f3296]) ).

fof(f3326,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3315,f1419]) ).

fof(f3315,plain,
    ( sk_c8 = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f1988,f3296]) ).

fof(f3296,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3079,f3295]) ).

fof(f3295,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3294,f3078]) ).

fof(f3294,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3210,f870]) ).

fof(f3262,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f3078]) ).

fof(f3264,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f3261,f43]) ).

fof(f3261,plain,
    ( sk_c8 = multiply(inverse(sk_c3),sk_c7)
    | spl0_5 ),
    inference(superposition,[],[f61,f3078]) ).

fof(f3260,plain,
    ( identity = multiply(sk_c3,multiply(sk_c8,inverse(sk_c7)))
    | spl0_5 ),
    inference(superposition,[],[f1518,f3078]) ).

fof(f3263,plain,
    ( sk_c8 = multiply(sk_c8,inverse(sk_c7))
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f3259,f43]) ).

fof(f3259,plain,
    ( inverse(sk_c3) = multiply(sk_c8,inverse(sk_c7))
    | spl0_5 ),
    inference(superposition,[],[f1869,f3078]) ).

fof(f3258,plain,
    ( sk_c3 = multiply(sk_c7,inverse(sk_c8))
    | spl0_5 ),
    inference(superposition,[],[f1988,f3078]) ).

fof(f3078,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f25,f26,f27,f24,f23,f30,f32,f31,f133,f29]) ).

fof(f3153,plain,
    ( inverse(sk_c8) = multiply(sk_c5,inverse(sk_c7))
    | spl0_5 ),
    inference(superposition,[],[f1869,f3079]) ).

fof(f3154,plain,
    ( identity = multiply(sk_c8,multiply(sk_c5,inverse(sk_c7)))
    | spl0_5 ),
    inference(superposition,[],[f1518,f3079]) ).

fof(f3155,plain,
    ( sk_c5 = multiply(inverse(sk_c8),sk_c7)
    | spl0_5 ),
    inference(superposition,[],[f61,f3079]) ).

fof(f3232,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f27,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f24,f3231,f3224,f3078,f3082,f3210,f26]) ).

fof(f3210,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f32,f133]) ).

fof(f2157,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2156,f1420]) ).

fof(f2156,plain,
    ( inverse(sk_c8) = multiply(sk_c4,identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2095,f545]) ).

fof(f2095,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1988,f729]) ).

fof(f2028,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2027,f1420]) ).

fof(f2027,plain,
    ( inverse(sk_c8) = multiply(sk_c4,identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1914,f545]) ).

fof(f1914,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1869,f718]) ).

fof(f1489,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f1437,f138]) ).

fof(f1451,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f729,f1420]) ).

fof(f1440,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f1420,f729]) ).

fof(f2935,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f715,f716,f717,f718,f731,f5,f7,f8,f10,f11,f13,f14,f22,f23,f35,f24,f12,f6,f545,f729,f856,f858,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f1489,f1451,f1440,f2157,f2028,f138,f25,f26,f27]) ).

fof(f3082,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f25,f26,f27,f24,f30,f32,f133,f29,f3078,f31,f3079,f23]) ).

fof(f3224,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f30,f133]) ).

fof(f3231,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f26,f27,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082,f3078,f3224,f24]) ).

fof(f3156,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f3079]) ).

fof(f3152,plain,
    ( sk_c8 = multiply(sk_c7,inverse(sk_c5))
    | spl0_5 ),
    inference(superposition,[],[f1988,f3079]) ).

fof(f3079,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f25,f26,f27,f24,f23,f30,f32,f133,f29,f3078,f31]) ).

fof(f133,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f3085,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f26,f27,f24,f30,f32,f133,f29,f3078,f31,f3079,f23,f3082,f25]) ).

fof(f3084,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f64,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f715,f716,f717,f718,f731,f5,f7,f8,f10,f11,f13,f14,f22,f35,f834,f12,f835,f6,f836,f837,f838,f840,f843,f545,f729,f856,f858,f4,f841,f871,f880,f881,f839,f882,f888,f872,f889,f891,f932,f874,f943,f937,f938,f940,f945,f933,f949,f934,f946,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2360,f2132,f2119,f2104,f2377,f2154,f2145,f1930,f1926,f1920,f2409,f2025,f2021,f2421,f1675,f1621,f1613,f2453,f1558,f2463,f1488,f1482,f2467,f1450,f1473,f2473,f950,f942,f936,f2547,f2554,f1489,f1451,f1440,f2157,f2028,f138,f25,f26,f27,f2935,f24,f2936,f30,f2938,f32,f133,f43,f2969,f2970,f2971,f2972,f2978,f2974,f2975,f2976,f2977,f870,f1439,f3004,f3005,f3014,f3009,f3010,f3012,f29,f3078,f31,f3079,f3080,f3081,f23,f3082,f3083]) ).

fof(f3083,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f26,f870]) ).

fof(f3081,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f64,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f715,f716,f717,f718,f731,f5,f7,f8,f10,f11,f13,f14,f22,f35,f834,f12,f835,f6,f836,f837,f838,f840,f843,f545,f729,f856,f858,f4,f841,f871,f880,f881,f839,f882,f888,f872,f889,f891,f932,f874,f943,f937,f938,f940,f945,f933,f949,f934,f946,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2360,f2132,f2119,f2104,f2377,f2154,f2145,f1930,f1926,f1920,f2409,f2025,f2021,f2421,f1675,f1621,f1613,f2453,f1558,f2463,f1488,f1482,f2467,f1450,f1473,f2473,f950,f942,f936,f2547,f2554,f1489,f1451,f1440,f2157,f2028,f138,f25,f26,f27,f2935,f24,f2936,f23,f30,f2938,f32,f133,f43,f2969,f2970,f2971,f2972,f2978,f2974,f2975,f2976,f2977,f870,f1439,f3004,f3005,f3014,f3009,f3010,f3012,f29,f3078,f31,f3079,f3080]) ).

fof(f3080,plain,
    ( multiply(sk_c3,sk_c8) = sk_c5
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f32,f870]) ).

fof(f2473,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1440,f870]) ).

fof(f2467,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1451,f870]) ).

fof(f2463,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1489,f870]) ).

fof(f2453,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1559,f870]) ).

fof(f2409,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2028,f870]) ).

fof(f2377,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2157,f870]) ).

fof(f2360,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c8) = X0
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2133,f870]) ).

fof(f2133,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f1988,f138]) ).

fof(f945,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f941,f870]) ).

fof(f941,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f729,f874]) ).

fof(f943,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f935,f870]) ).

fof(f935,plain,
    ( sk_c4 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f874,f729]) ).

fof(f932,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f858,f870]) ).

fof(f888,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c3)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f856,f870]) ).

fof(f881,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f731,f870]) ).

fof(f880,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f717,f870]) ).

fof(f871,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f729,f841]) ).

fof(f858,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f857,f1]) ).

fof(f857,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f729]) ).

fof(f856,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f729]) ).

fof(f731,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f730,f1]) ).

fof(f730,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f718]) ).

fof(f717,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f138]) ).

fof(f716,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f353,f138]) ).

fof(f715,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f530,f138]) ).

fof(f3372,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3371]) ).

fof(f3371,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f64,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f715,f716,f717,f718,f731,f5,f7,f8,f10,f11,f13,f14,f22,f35,f834,f12,f835,f6,f836,f837,f838,f840,f843,f545,f729,f856,f858,f4,f841,f871,f880,f881,f839,f882,f888,f872,f889,f891,f932,f874,f943,f937,f938,f940,f945,f933,f949,f934,f946,f866,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2360,f2132,f2119,f2104,f2377,f2154,f2145,f1930,f1926,f1920,f2409,f2025,f2021,f2419,f2421,f1675,f2447,f1621,f1613,f2453,f1558,f2463,f1488,f1482,f2467,f1450,f1473,f2473,f2520,f950,f942,f936,f2527,f2547,f2554,f2115,f1905,f1660,f1031,f1030,f27,f2936,f30,f2938,f32,f1034,f2969,f2970,f2971,f2972,f2978,f2974,f2975,f2976,f2977,f3004,f3005,f3014,f3009,f3010,f3012,f29,f31,f3080,f3081,f23,f3083,f3084,f25,f3085,f133,f3079,f3152,f3156,f24,f3231,f3224,f3082,f138,f2935,f1440,f1451,f1489,f2028,f2157,f3210,f26,f3232,f3155,f3154,f3153,f870,f43,f3245,f3246,f3247,f3253,f3249,f3250,f3251,f3252,f3078,f3258,f3263,f3260,f3264,f3262,f1439,f3278,f3279,f3288,f3283,f3284,f3286,f3295,f3244,f3312,f3296,f3326,f3327,f3328,f3329,f3319,f2997,f1039,f3346,f3351,f1259,f2368,f2648,f2959,f3370]) ).

fof(f3369,plain,
    ( ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3368]) ).

fof(f3368,plain,
    ( $false
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3367,f1]) ).

fof(f3367,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f3359,f1039]) ).

fof(f3359,plain,
    ( identity != multiply(sk_c7,identity)
    | ~ spl0_2
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f3243,f1260]) ).

fof(f1260,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1259,f1035]) ).

fof(f3243,plain,
    ( identity != multiply(sk_c7,sk_c8)
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f861,f1035]) ).

fof(f3325,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3324]) ).

fof(f3324,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3323,f1038]) ).

fof(f3323,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3314,f1035]) ).

fof(f3322,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3321]) ).

fof(f3321,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3320,f1038]) ).

fof(f3320,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3313,f1035]) ).

fof(f3230,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3229]) ).

fof(f3229,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f26,f27,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082,f3078,f3224,f24,f42]) ).

fof(f42,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f727,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f698]) ).

fof(f698,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f35,f26,f25,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24]) ).

fof(f723,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f697]) ).

fof(f697,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f24,f1,f2,f18,f3,f35,f26,f25,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12]) ).

fof(f720,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f696]) ).

fof(f719,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f61,f696]) ).

fof(f696,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f12,f24,f1,f2,f18,f3,f35,f26,f25,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6]) ).

fof(f714,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10,f707,f8,f708,f7,f709,f5,f710,f4,f711,f27,f712,f15,f713,f9]) ).

fof(f713,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10,f707,f8,f708,f7,f709,f5,f710,f4,f711,f27,f712,f15]) ).

fof(f712,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10,f707,f8,f708,f7,f709,f5,f710,f4,f711,f27]) ).

fof(f711,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10,f707,f8,f708,f7,f709,f5,f710,f4]) ).

fof(f710,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10,f707,f8,f708,f7,f709,f5]) ).

fof(f709,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10,f707,f8,f708,f7]) ).

fof(f708,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10,f707,f8]) ).

fof(f707,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11,f706,f10]) ).

fof(f706,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13,f705,f11]) ).

fof(f705,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14,f704,f13]) ).

fof(f704,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22,f703,f14]) ).

fof(f703,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23,f702,f22]) ).

fof(f702,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25,f701,f23]) ).

fof(f701,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26,f700,f25]) ).

fof(f700,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f25,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35,f699,f26]) ).

fof(f699,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f26,f25,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f33,f61,f356,f366,f353,f540,f530,f545,f546,f558,f548,f352,f42,f6,f696,f12,f697,f24,f698,f35]) ).

fof(f3228,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3227]) ).

fof(f3227,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082,f3078,f3224,f24]) ).

fof(f3226,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3225]) ).

fof(f3225,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082,f3078,f3224]) ).

fof(f3215,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3214]) ).

fof(f3214,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3213,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082,f3078]) ).

fof(f3213,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3212,f1035]) ).

fof(f3212,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3211,f862]) ).

fof(f3211,plain,
    ( multiply(sk_c7,sk_c8) = sk_c5
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3210,f1069]) ).

fof(f1069,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1063,f908]) ).

fof(f1063,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f729,f1050]) ).

fof(f1050,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f39,f1043]) ).

fof(f1043,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1041,f898]) ).

fof(f1041,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f900,f1035]) ).

fof(f900,plain,
    ( sk_c8 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f361,f868]) ).

fof(f3209,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3208]) ).

fof(f3208,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3207,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082,f3078]) ).

fof(f3207,plain,
    ( identity = sk_c5
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3206,f1035]) ).

fof(f3206,plain,
    ( sk_c6 = sk_c5
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3205,f862]) ).

fof(f3205,plain,
    ( multiply(sk_c7,sk_c8) = sk_c5
    | sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f26,f1069]) ).

fof(f3203,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3202]) ).

fof(f3202,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082,f3078]) ).

fof(f3201,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3200]) ).

fof(f3200,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3199,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f3078,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082]) ).

fof(f3199,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3157,f3121]) ).

fof(f3121,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1437,f3105]) ).

fof(f3105,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1438,f1043]) ).

fof(f3157,plain,
    ( inverse(sk_c8) = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3153,f3105]) ).

fof(f3198,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3197]) ).

fof(f3197,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3196,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f3078,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082]) ).

fof(f3196,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3155,f3121]) ).

fof(f3195,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3194]) ).

fof(f3194,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f3078,f31,f23,f25,f3085,f133,f3079,f3152,f3156,f3082]) ).

fof(f3193,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3192]) ).

fof(f3192,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f3086,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f727,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f26,f27,f24,f30,f32,f29,f3078,f31,f23,f3082,f25,f3085,f133,f3079,f3152,f3156]) ).

fof(f3086,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | spl0_5 ),
    inference(global_subsumption,[],[f987,f1,f2,f18,f3,f28,f20,f19,f17,f16,f21,f33,f61,f356,f353,f540,f530,f546,f558,f548,f352,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f35,f12,f6,f545,f4,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f26,f27,f24,f30,f32,f133,f29,f3078,f31,f3079,f23,f3082,f25,f3085]) ).

fof(f3185,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3184]) ).

fof(f3184,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3183,f1038]) ).

fof(f3183,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3173,f1035]) ).

fof(f3173,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f862,f3131]) ).

fof(f3131,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3078,f1068]) ).

fof(f1068,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1062,f908]) ).

fof(f1062,plain,
    ( sk_c3 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f841,f1050]) ).

fof(f3182,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3181]) ).

fof(f3181,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3180,f1038]) ).

fof(f3180,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3172,f1035]) ).

fof(f3172,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f3131,f862]) ).

fof(f3070,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3069]) ).

fof(f3069,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3068,f2528]) ).

fof(f3067,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3066]) ).

fof(f3066,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3058,f2528]) ).

fof(f3065,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3064]) ).

fof(f3064,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f3057,f2528]) ).

fof(f2927,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2926]) ).

fof(f2926,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1035,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2891,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2890,f897]) ).

fof(f2890,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f25,f852]) ).

fof(f2874,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2135,f852]) ).

fof(f2135,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c2),sk_c7) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1988,f134]) ).

fof(f2169,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2102,f852]) ).

fof(f2102,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f1988,f142]) ).

fof(f2077,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c1))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1932,f852]) ).

fof(f1932,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c2))
    | ~ spl0_5 ),
    inference(superposition,[],[f142,f1869]) ).

fof(f2842,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2841,f852]) ).

fof(f2841,plain,
    ( sk_c2 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2035,f1420]) ).

fof(f2035,plain,
    ( multiply(sk_c2,identity) = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1917,f545]) ).

fof(f1917,plain,
    ( inverse(sk_c7) = multiply(sk_c2,inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f1869,f140]) ).

fof(f2422,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1964,f1988]) ).

fof(f1964,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c1,X0),inverse(X0))
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1893,f852]) ).

fof(f1893,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c2,X0),inverse(X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f1869,f142]) ).

fof(f2803,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1491,f852]) ).

fof(f1491,plain,
    ( sk_c2 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f1437,f134]) ).

fof(f2770,plain,
    ( identity = sk_c8
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2769,f897]) ).

fof(f2769,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f26,f852]) ).

fof(f2766,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2765,f897]) ).

fof(f2765,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f27,f852]) ).

fof(f2762,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2761,f897]) ).

fof(f2761,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f24,f852]) ).

fof(f738,plain,
    ( sk_c7 = sk_c6
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f728,f696]) ).

fof(f801,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f747,f1]) ).

fof(f765,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f745,f1]) ).

fof(f742,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f738,f734]) ).

fof(f739,plain,
    ( sk_c7 = sk_c6
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f696,f728]) ).

fof(f1176,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1175,f897]) ).

fof(f1175,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f23,f852]) ).

fof(f734,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f732,f2]) ).

fof(f732,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f61,f724]) ).

fof(f744,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f740,f2]) ).

fof(f740,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c7)
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f728]) ).

fof(f852,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f378,f377]) ).

fof(f795,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f794,f742]) ).

fof(f794,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f793,f744]) ).

fof(f793,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f792,f742]) ).

fof(f792,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f791,f744]) ).

fof(f791,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f790,f744]) ).

fof(f790,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f789,f742]) ).

fof(f789,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f788,f742]) ).

fof(f788,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f787,f742]) ).

fof(f787,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f786,f744]) ).

fof(f786,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f785,f744]) ).

fof(f785,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f784,f1]) ).

fof(f784,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,identity)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f783,f744]) ).

fof(f783,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c8,identity)
        | identity != multiply(X3,identity)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f782,f742]) ).

fof(f782,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(sk_c8,sk_c7)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f737,f742]) ).

fof(f806,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f804,f1]) ).

fof(f804,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c2,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f747]) ).

fof(f805,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f803,f2]) ).

fof(f803,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f747]) ).

fof(f802,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1,f747]) ).

fof(f747,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f140,f742]) ).

fof(f776,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f771,f742]) ).

fof(f771,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f39,f765]) ).

fof(f770,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f768,f1]) ).

fof(f768,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f745]) ).

fof(f769,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f767,f2]) ).

fof(f767,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f745]) ).

fof(f766,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1,f745]) ).

fof(f745,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f126,f742]) ).

fof(f753,plain,
    ( identity = multiply(identity,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f728,f742]) ).

fof(f751,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f698,f742]) ).

fof(f756,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f750,f734]) ).

fof(f750,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f697,f742]) ).

fof(f755,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f754,f734]) ).

fof(f754,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f749,f1]) ).

fof(f749,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f696,f742]) ).

fof(f748,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f142,f742]) ).

fof(f746,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f128,f742]) ).

fof(f741,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f728]) ).

fof(f743,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f739,f734]) ).

fof(f728,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f726,f134]) ).

fof(f726,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c8)
    | spl0_2 ),
    inference(superposition,[],[f61,f698]) ).

fof(f737,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,sk_c7)
        | identity != multiply(sk_c8,sk_c7)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f736,f734]) ).

fof(f736,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(sk_c8,sk_c7)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f699,f734]) ).

fof(f735,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f724,f734]) ).

fof(f733,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f3,f724]) ).

fof(f724,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f722,f39]) ).

fof(f722,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f61,f697]) ).

fof(f725,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f142,f698]) ).

fof(f721,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f128,f697]) ).

fof(f362,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f142]) ).

fof(f378,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f61,f140]) ).

fof(f529,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f353,f134]) ).

fof(f544,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c2)
    | ~ spl0_5 ),
    inference(superposition,[],[f530,f134]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f141,f1]) ).

fof(f141,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f140]) ).

fof(f140,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f134]) ).

fof(f134,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f2925,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2924]) ).

fof(f2924,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1041,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2923,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2922]) ).

fof(f2922,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1043,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2921,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2920]) ).

fof(f2920,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1045,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f1045,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f128,f1041]) ).

fof(f2919,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2918]) ).

fof(f2918,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1050,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2917,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2916]) ).

fof(f2916,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1054,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f1054,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f897,f1043]) ).

fof(f2915,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2914]) ).

fof(f2914,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2913,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2913,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2211,f1420]) ).

fof(f2211,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2210,f545]) ).

fof(f2210,plain,
    ( sk_c1 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2121,f1035]) ).

fof(f2121,plain,
    ( sk_c1 = multiply(sk_c8,inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f1988,f900]) ).

fof(f2912,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2911]) ).

fof(f2911,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1487,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f1487,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1437,f1050]) ).

fof(f2910,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2909]) ).

fof(f2909,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1069,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2908,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2907]) ).

fof(f2907,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2198,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2198,plain,
    ( sk_c7 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2117,f1050]) ).

fof(f2906,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2905]) ).

fof(f2905,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f1080,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f1080,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f138,f1069]) ).

fof(f2904,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2903]) ).

fof(f2903,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2902,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2902,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1137,f1420]) ).

fof(f1137,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1056,f126]) ).

fof(f1056,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f899,f1043]) ).

fof(f2901,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2900]) ).

fof(f2900,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2899,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2899,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1138,f1420]) ).

fof(f1138,plain,
    ( sk_c2 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1056,f140]) ).

fof(f2898,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2897]) ).

fof(f2897,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2896,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2896,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2162,f1420]) ).

fof(f2162,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2099,f545]) ).

fof(f2099,plain,
    ( sk_c1 = multiply(sk_c8,inverse(identity))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1988,f1041]) ).

fof(f2895,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2894]) ).

fof(f2894,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891,f1038]) ).

fof(f2893,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2892]) ).

fof(f2892,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885,f2891]) ).

fof(f2887,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2886]) ).

fof(f2886,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928,f2885]) ).

fof(f2882,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2881]) ).

fof(f2881,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106,f1928]) ).

fof(f2880,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2879]) ).

fof(f2879,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134,f2106]) ).

fof(f2878,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2877]) ).

fof(f2877,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874,f2134]) ).

fof(f2876,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2875]) ).

fof(f2875,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113,f2874]) ).

fof(f2873,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2872]) ).

fof(f2872,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2121,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113]) ).

fof(f2871,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2870]) ).

fof(f2870,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2120,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113]) ).

fof(f2869,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2868]) ).

fof(f2868,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2364,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113]) ).

fof(f2867,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2866]) ).

fof(f2866,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2117,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113]) ).

fof(f2865,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2864]) ).

fof(f2864,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f2115,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113]) ).

fof(f2863,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2862]) ).

fof(f2862,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169,f2113]) ).

fof(f2861,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2860]) ).

fof(f2860,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101,f2169]) ).

fof(f2859,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2858]) ).

fof(f2858,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855,f2101]) ).

fof(f2857,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2856]) ).

fof(f2856,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143,f2855]) ).

fof(f2854,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2853]) ).

fof(f2853,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077,f2143]) ).

fof(f2852,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2851]) ).

fof(f2851,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931,f2077]) ).

fof(f2850,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2849]) ).

fof(f2849,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925,f1931]) ).

fof(f2848,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2847]) ).

fof(f2847,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919,f1925]) ).

fof(f2846,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2845]) ).

fof(f2845,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842,f1919]) ).

fof(f2844,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2843]) ).

fof(f2843,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838,f2842]) ).

fof(f2840,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2839]) ).

fof(f2839,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835,f2838]) ).

fof(f2837,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2836]) ).

fof(f2836,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422,f2835]) ).

fof(f2834,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2833]) ).

fof(f2833,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2410,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422]) ).

fof(f2410,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1911,f39]) ).

fof(f1911,plain,
    ( inverse(sk_c1) = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f1869,f900]) ).

fof(f2832,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2831]) ).

fof(f2831,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2412,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422]) ).

fof(f2830,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2829]) ).

fof(f2829,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2414,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422]) ).

fof(f2828,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2827]) ).

fof(f2827,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1907,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422]) ).

fof(f2826,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2825]) ).

fof(f2825,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1905,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422]) ).

fof(f2824,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2823]) ).

fof(f2823,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425,f2422]) ).

fof(f2822,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2821]) ).

fof(f2821,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674,f2425]) ).

fof(f2820,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2819]) ).

fof(f2819,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806,f1674]) ).

fof(f2818,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2817]) ).

fof(f2817,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1666,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806]) ).

fof(f1666,plain,
    ( identity = multiply(sk_c1,multiply(sk_c6,inverse(sk_c8)))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f1518,f900]) ).

fof(f2816,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2815]) ).

fof(f2815,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1665,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806]) ).

fof(f2814,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2813]) ).

fof(f2813,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2443,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806]) ).

fof(f2812,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2811]) ).

fof(f2811,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f1662,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806]) ).

fof(f2810,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2809]) ).

fof(f2809,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1660,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806]) ).

fof(f2808,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2807]) ).

fof(f2807,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803,f2806]) ).

fof(f2805,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2804]) ).

fof(f2804,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490,f2803]) ).

fof(f2802,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2801]) ).

fof(f2801,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798,f1490]) ).

fof(f2800,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2799]) ).

fof(f2799,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449,f2798]) ).

fof(f2797,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2796]) ).

fof(f2796,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793,f1449]) ).

fof(f2795,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2794]) ).

fof(f2794,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438,f2793]) ).

fof(f2792,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115,f1438]) ).

fof(f2790,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2789]) ).

fof(f2789,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f2476,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115]) ).

fof(f2788,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2787]) ).

fof(f2787,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1393,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115]) ).

fof(f1393,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1392,f862]) ).

fof(f2786,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2785]) ).

fof(f2785,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f878,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115]) ).

fof(f2784,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2783]) ).

fof(f2783,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f918,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115]) ).

fof(f918,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f900]) ).

fof(f2780,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2779]) ).

fof(f2779,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1031,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115]) ).

fof(f2778,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2777]) ).

fof(f2777,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(global_subsumption,[],[f869,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115]) ).

fof(f2776,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2775]) ).

fof(f2775,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770,f1115]) ).

fof(f2774,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2773]) ).

fof(f2773,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1030,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770]) ).

fof(f2772,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2771]) ).

fof(f2771,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766,f2770]) ).

fof(f2768,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2767]) ).

fof(f2767,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762,f2766]) ).

fof(f2764,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2763]) ).

fof(f2763,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738,f2762]) ).

fof(f2760,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2759,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801,f738]) ).

fof(f2758,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2757]) ).

fof(f2757,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765,f801]) ).

fof(f2756,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2755]) ).

fof(f2755,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742,f765]) ).

fof(f2754,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2753]) ).

fof(f2753,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739,f742]) ).

fof(f2752,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2751]) ).

fof(f2751,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608,f739]) ).

fof(f2750,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2749]) ).

fof(f2749,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619,f2608]) ).

fof(f2748,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2747]) ).

fof(f2747,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176,f2619]) ).

fof(f2746,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2745]) ).

fof(f2745,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987,f1176]) ).

fof(f2744,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2743]) ).

fof(f2743,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657,f987]) ).

fof(f2742,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2741]) ).

fof(f2741,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734,f2657]) ).

fof(f2740,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2739]) ).

fof(f2739,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f2623,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2623,plain,
    ( ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f564,f1420]) ).

fof(f564,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | identity != multiply(identity,multiply(X7,identity)) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f563,plain,
    ( spl0_8
  <=> ! [X7] :
        ( identity != inverse(X7)
        | identity != multiply(identity,multiply(X7,identity)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2738,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2737]) ).

fof(f2737,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1489,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2736,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2735]) ).

fof(f2735,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1451,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2734,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2733]) ).

fof(f2733,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1440,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2732,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2731]) ).

fof(f2731,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f2157,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2730,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2729]) ).

fof(f2729,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f2028,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2728,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2727]) ).

fof(f2727,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f138,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2726,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2725]) ).

fof(f2725,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f2695,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2695,plain,
    ( identity = sk_c8
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f830,f545]) ).

fof(f830,plain,
    ( sk_c8 = inverse(identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f138,f822]) ).

fof(f822,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f759,f1]) ).

fof(f759,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f718,f744]) ).

fof(f2724,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2723]) ).

fof(f2723,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f826,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f826,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f824,f2]) ).

fof(f824,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f759]) ).

fof(f2722,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2721]) ).

fof(f2721,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744,f734]) ).

fof(f2720,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2719]) ).

fof(f2719,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f823,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f734,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744]) ).

fof(f823,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f1,f759]) ).

fof(f2718,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2717]) ).

fof(f2717,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f734,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42,f744]) ).

fof(f2716,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2715]) ).

fof(f2715,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f822,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f734,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f744,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42]) ).

fof(f2714,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2713]) ).

fof(f2713,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f39,f126,f128,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f543,f529,f528,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f721,f723,f698,f725,f727,f724,f733,f734,f735,f737,f728,f743,f741,f742,f746,f748,f755,f756,f751,f753,f744,f745,f766,f769,f770,f765,f776,f747,f802,f805,f806,f801,f795,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f377,f851,f852,f4,f849,f885,f887,f361,f901,f902,f904,f905,f897,f911,f912,f898,f908,f899,f1029,f1038,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f42]) ).

fof(f2712,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2711]) ).

fof(f2711,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460,f42]) ).

fof(f2460,plain,
    ( identity = sk_c2
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2459,f545]) ).

fof(f2459,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1491,f1039]) ).

fof(f2710,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2709]) ).

fof(f2709,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2708,f1034]) ).

fof(f2708,plain,
    ( identity = sk_c6
    | spl0_2
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f739,f1039]) ).

fof(f2707,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2706]) ).

fof(f2706,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f822,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2705,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2704]) ).

fof(f2704,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f744,f2528]) ).

fof(f2703,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2702,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f823,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2701,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2700]) ).

fof(f2700,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_11 ),
    inference(subsumption_resolution,[],[f734,f1034]) ).

fof(f2699,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2698]) ).

fof(f2698,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f826,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2697,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2696,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2695,f2528]) ).

fof(f2694,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2693]) ).

fof(f2693,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2692,f1034]) ).

fof(f2692,plain,
    ( identity = sk_c6
    | spl0_2
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f738,f1039]) ).

fof(f2691,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2690]) ).

fof(f2690,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f138,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2689,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2688]) ).

fof(f2688,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2028,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2687,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2686]) ).

fof(f2686,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2157,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2685,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2684]) ).

fof(f2684,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1440,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2683,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2682]) ).

fof(f2682,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1451,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2681,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2680]) ).

fof(f2680,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1489,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2679,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2678]) ).

fof(f2678,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2570,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2570,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2495,f2528]) ).

fof(f2495,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2494,f1039]) ).

fof(f2494,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2493,f1]) ).

fof(f2493,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1370,f1253]) ).

fof(f1253,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1230,f2]) ).

fof(f1230,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f377,f1039]) ).

fof(f1370,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1369,f852]) ).

fof(f1369,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f1039]) ).

fof(f2677,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2676]) ).

fof(f2676,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2605,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2605,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2604,f2528]) ).

fof(f2604,plain,
    ( identity = sk_c8
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2603,f1]) ).

fof(f2603,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2602,f1253]) ).

fof(f2602,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2601,f852]) ).

fof(f2601,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f26,f1039]) ).

fof(f2675,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2674]) ).

fof(f2674,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2609,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2673,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2672]) ).

fof(f2672,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2616,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2616,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2615,f2528]) ).

fof(f2615,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2614,f1]) ).

fof(f2614,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2613,f1253]) ).

fof(f2613,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2612,f852]) ).

fof(f2612,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f27,f1039]) ).

fof(f2671,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2670]) ).

fof(f2670,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2620,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2669,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2668]) ).

fof(f2668,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2623,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2667,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2666]) ).

fof(f2666,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2665,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2665,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2664,f2528]) ).

fof(f2664,plain,
    ( identity = sk_c8
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2663,f1]) ).

fof(f2663,plain,
    ( sk_c8 = multiply(identity,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2662,f1253]) ).

fof(f2662,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2661,f852]) ).

fof(f2661,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f24,f1039]) ).

fof(f2660,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2659]) ).

fof(f2659,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2658,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2656,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2655]) ).

fof(f2655,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2654,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2654,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2653,f1039]) ).

fof(f2653,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | spl0_11 ),
    inference(subsumption_resolution,[],[f987,f1034]) ).

fof(f2652,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2651]) ).

fof(f2651,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2650,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f61,f356,f353,f540,f530,f546,f558,f548,f544,f529,f378,f362,f352,f699,f700,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f711,f27,f712,f15,f713,f9,f714,f42,f696,f719,f720,f697,f723,f698,f725,f727,f728,f741,f744,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2650,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2649,f1039]) ).

fof(f2649,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1176,f2528]) ).

fof(f2645,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2644]) ).

fof(f2644,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460,f137]) ).

fof(f137,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f160,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f149,f154]) ).

fof(f578,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f577,f134]) ).

fof(f577,plain,
    ( sk_c7 = multiply(inverse(sk_c2),identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f370,f408]) ).

fof(f370,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c8)
    | spl0_6 ),
    inference(superposition,[],[f61,f151]) ).

fof(f576,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f422,f154]) ).

fof(f422,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f145,f408]) ).

fof(f423,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f152,f408]) ).

fof(f408,plain,
    ( identity = sk_c8
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f407,f2]) ).

fof(f407,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f372,f154]) ).

fof(f372,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f61,f145]) ).

fof(f409,plain,
    ( identity = sk_c8
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f373,f2]) ).

fof(f373,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f174]) ).

fof(f406,plain,
    ( identity = sk_c8
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f371,f2]) ).

fof(f371,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f152]) ).

fof(f203,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f199,f153]) ).

fof(f199,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f159]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f146,f154]) ).

fof(f179,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f174]) ).

fof(f174,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f173,f151]) ).

fof(f173,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f165,f154]) ).

fof(f165,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c2,sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f153,f145]) ).

fof(f169,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f142,f153]) ).

fof(f168,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c8,sk_c2)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f140]) ).

fof(f172,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f164,f151]) ).

fof(f164,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c8,sk_c8)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f152]) ).

fof(f162,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f142]) ).

fof(f153,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f151]) ).

fof(f154,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f152,f145]) ).

fof(f156,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f152]) ).

fof(f155,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f145,f152]) ).

fof(f152,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f142,f151]) ).

fof(f151,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f27,f137]) ).

fof(f149,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f147]) ).

fof(f147,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f15,f137]) ).

fof(f146,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f145]) ).

fof(f145,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | spl0_6 ),
    inference(subsumption_resolution,[],[f9,f137]) ).

fof(f2643,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2642]) ).

fof(f2642,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f435,f1034]) ).

fof(f435,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f422,f235]) ).

fof(f235,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f209,f215]) ).

fof(f215,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f213,f176]) ).

fof(f176,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f175,f151]) ).

fof(f175,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f166,f154]) ).

fof(f166,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f153,f148]) ).

fof(f148,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f128,f147]) ).

fof(f213,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f212,f1]) ).

fof(f212,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f209]) ).

fof(f209,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f208,f45]) ).

fof(f208,plain,
    ( multiply(sk_c8,sk_c3) = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f206,f153]) ).

fof(f206,plain,
    ( multiply(sk_c8,sk_c3) = multiply(sk_c2,multiply(sk_c7,identity))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f195]) ).

fof(f195,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f159,f45]) ).

fof(f2641,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2640]) ).

fof(f2640,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2639,f2528]) ).

fof(f2639,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f240,f545]) ).

fof(f240,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f43,f216]) ).

fof(f216,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f213,f45]) ).

fof(f2637,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2636]) ).

fof(f2636,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2635,f2528]) ).

fof(f2635,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f215,f1039]) ).

fof(f2634,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2633]) ).

fof(f2633,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f216,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f137,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2632,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2631]) ).

fof(f2631,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f408,f2528]) ).

fof(f2630,plain,
    ( ~ spl0_5
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2629]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2628,f1034]) ).

fof(f2628,plain,
    ( identity = sk_c6
    | ~ spl0_5
    | spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f154,f1039]) ).

fof(f2627,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2626]) ).

fof(f2626,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f410,f1034]) ).

fof(f410,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f374,f2]) ).

fof(f374,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f61,f148]) ).

fof(f2625,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2624]) ).

fof(f2624,plain,
    ( $false
    | ~ spl0_5
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2623,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f137,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2622,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2621]) ).

fof(f2621,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2620,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f137,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2618,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2617]) ).

fof(f2617,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2616,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f137,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2611,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2610]) ).

fof(f2610,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2609,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f137,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2607,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2606]) ).

fof(f2606,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2605,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f137,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2600,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2599]) ).

fof(f2599,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2570,f30,f1,f2,f18,f3,f32,f31,f29,f28,f20,f19,f17,f16,f21,f33,f134,f137,f140,f142,f145,f146,f147,f149,f151,f152,f155,f156,f154,f153,f162,f172,f168,f169,f174,f179,f159,f203,f61,f356,f406,f409,f408,f353,f540,f530,f546,f558,f548,f544,f529,f423,f576,f378,f578,f362,f352,f160,f27,f15,f9,f5,f7,f8,f10,f11,f13,f14,f22,f23,f25,f26,f35,f24,f12,f6,f545,f4,f862,f869,f868,f878,f877,f892,f893,f1039,f366,f1426,f1427,f1429,f1430,f1420,f1475,f1448,f1484,f1437,f1500,f1501,f1419,f1551,f1531,f1421,f1582,f1594,f1518,f1637,f1677,f1826,f1871,f1873,f1874,f1869,f1881,f1899,f1992,f1922,f2082,f1934,f1935,f1937,f1938,f1988,f2090,f2108,f2129,f2137,f2138,f2139,f2140,f2363,f2365,f2366,f2413,f2416,f2418,f2442,f2444,f2445,f2478,f2486,f1265,f2500,f2522,f1034,f1257,f2528,f2460]) ).

fof(f2591,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2590]) ).

fof(f2590,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2589,f2528]) ).

fof(f2589,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2576,f1419]) ).

fof(f2576,plain,
    ( sk_c8 = multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1988,f2571]) ).

fof(f2571,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2570,f2558]) ).

fof(f2588,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2587]) ).

fof(f2587,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2575,f2528]) ).

fof(f2575,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1420,f2571]) ).

fof(f2586,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2585]) ).

fof(f2585,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2574,f2528]) ).

fof(f2574,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f946,f2571]) ).

fof(f2584,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2583]) ).

fof(f2583,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2573,f2528]) ).

fof(f2573,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f2571,f1420]) ).

fof(f2582,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2581]) ).

fof(f2581,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2572,f2528]) ).

fof(f2572,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f2571,f946]) ).

fof(f2350,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2349]) ).

fof(f2349,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2348,f545]) ).

fof(f2348,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2347,f1039]) ).

fof(f2347,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2346,f1050]) ).

fof(f2346,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2345,f1298]) ).

fof(f2345,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2287,f934]) ).

fof(f2287,plain,
    ( identity != multiply(sk_c3,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f874]) ).

fof(f561,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_7
  <=> ! [X5] :
        ( identity != inverse(X5)
        | identity != multiply(X5,identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2344,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2342,f545]) ).

fof(f2342,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2341,f1258]) ).

fof(f2341,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2340,f1070]) ).

fof(f1070,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f43,f1068]) ).

fof(f2340,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2339,f1253]) ).

fof(f2339,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2286,f898]) ).

fof(f2286,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f361]) ).

fof(f2338,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2336,f1437]) ).

fof(f2336,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2290,f1437]) ).

fof(f2290,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2285]) ).

fof(f2285,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f530]) ).

fof(f2335,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2334]) ).

fof(f2334,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2291,f1437]) ).

fof(f2291,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2284]) ).

fof(f2284,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f2]) ).

fof(f2333,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2332,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2292,f545]) ).

fof(f2292,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2283]) ).

fof(f2283,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f1]) ).

fof(f2331,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2330]) ).

fof(f2330,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2329,f545]) ).

fof(f2329,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2328,f1258]) ).

fof(f2328,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2327,f1043]) ).

fof(f2327,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2282,f1253]) ).

fof(f2282,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f898]) ).

fof(f2326,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2325]) ).

fof(f2325,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2324,f545]) ).

fof(f2324,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2323,f1258]) ).

fof(f2323,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2322,f1043]) ).

fof(f2322,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2281,f1258]) ).

fof(f2281,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f561,f1041]) ).

fof(f2321,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2320]) ).

fof(f2320,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2319,f545]) ).

fof(f2319,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2318,f1039]) ).

fof(f2318,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2317,f1068]) ).

fof(f2317,plain,
    ( identity != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2280,f1298]) ).

fof(f2280,plain,
    ( identity != sk_c3
    | identity != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f934]) ).

fof(f2316,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2315]) ).

fof(f2315,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2314,f545]) ).

fof(f2314,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2313,f1258]) ).

fof(f2313,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2279,f1258]) ).

fof(f2279,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f946]) ).

fof(f2312,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2311]) ).

fof(f2311,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2310,f545]) ).

fof(f2310,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2309,f1039]) ).

fof(f2309,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2278,f1039]) ).

fof(f2278,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f908]) ).

fof(f2308,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2307]) ).

fof(f2307,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2306,f545]) ).

fof(f2306,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2305,f1039]) ).

fof(f2305,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2304,f1050]) ).

fof(f2304,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2277,f1292]) ).

fof(f2277,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f729]) ).

fof(f2303,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2302]) ).

fof(f2302,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2301,f545]) ).

fof(f2301,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2300,f1039]) ).

fof(f2300,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2299,f1050]) ).

fof(f2299,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2276,f1298]) ).

fof(f2276,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f841]) ).

fof(f2298,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2297,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2296,f545]) ).

fof(f2296,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2295,f1258]) ).

fof(f2295,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2294,f1070]) ).

fof(f2294,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2275,f1253]) ).

fof(f2275,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f561,f377]) ).

fof(f2269,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2258,f1437]) ).

fof(f2258,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2256]) ).

fof(f2256,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(superposition,[],[f2250,f1419]) ).

fof(f2250,plain,
    ( ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f2249]) ).

fof(f2249,plain,
    ( spl0_13
  <=> ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2267,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2266]) ).

fof(f2266,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2265,f1437]) ).

fof(f2265,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2259,f1869]) ).

fof(f2259,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2255]) ).

fof(f2255,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_13 ),
    inference(superposition,[],[f2250,f1518]) ).

fof(f2262,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2261]) ).

fof(f2261,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2260,f545]) ).

fof(f2260,plain,
    ( identity != inverse(identity)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2253]) ).

fof(f2253,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f2250,f1420]) ).

fof(f2251,plain,
    ( spl0_7
    | spl0_7
    | spl0_7
    | spl0_13
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1553,f1037,f1033,f864,f860,f2249,f560,f560,f560]) ).

fof(f1553,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1405,f1420]) ).

fof(f1405,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1404,f1039]) ).

fof(f1404,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1403,f1258]) ).

fof(f1403,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1402,f1039]) ).

fof(f1402,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1401,f1258]) ).

fof(f1401,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1400,f1258]) ).

fof(f1400,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1399,f1039]) ).

fof(f1399,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1398,f1035]) ).

fof(f1398,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X3,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1397,f1039]) ).

fof(f1397,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1396,f1039]) ).

fof(f1396,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1395,f1039]) ).

fof(f1395,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1394,f1258]) ).

fof(f1394,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1393,f1258]) ).

fof(f1223,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1221,f1038]) ).

fof(f1221,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1192,f545]) ).

fof(f1192,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(superposition,[],[f1050,f1178]) ).

fof(f1178,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1177,f1038]) ).

fof(f1177,plain,
    ( identity = sk_c7
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1176,f933]) ).

fof(f1219,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1218]) ).

fof(f1218,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1217,f1038]) ).

fof(f1217,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1216,f1035]) ).

fof(f1216,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(forward_demodulation,[],[f1188,f353]) ).

fof(f1188,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(superposition,[],[f877,f1178]) ).

fof(f1209,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1208,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1207,f1038]) ).

fof(f1207,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1206,f1035]) ).

fof(f1206,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(forward_demodulation,[],[f1185,f1]) ).

fof(f1185,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | spl0_12 ),
    inference(superposition,[],[f866,f1178]) ).

fof(f1205,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1204]) ).

fof(f1204,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1203,f1038]) ).

fof(f1203,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f1202,f1035]) ).

fof(f1202,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(forward_demodulation,[],[f1184,f908]) ).

fof(f1184,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | spl0_12 ),
    inference(superposition,[],[f862,f1178]) ).

fof(f1040,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1028,f41,f37,f1037,f1033]) ).

fof(f1028,plain,
    ( identity = sk_c7
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f987,f933]) ).

fof(f1025,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1024]) ).

fof(f1024,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1021,f955]) ).

fof(f955,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_10 ),
    inference(forward_demodulation,[],[f954,f897]) ).

fof(f1021,plain,
    ( identity != sk_c6
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f865,f971]) ).

fof(f971,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f897,f960]) ).

fof(f960,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f956,f898]) ).

fof(f956,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f900,f955]) ).

fof(f867,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f4,f864,f860]) ).

fof(f833,plain,
    ( spl0_7
    | spl0_7
    | spl0_7
    | spl0_8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f795,f132,f41,f37,f563,f560,f560,f560]) ).

fof(f695,plain,
    ( spl0_8
    | spl0_7
    | spl0_7
    | spl0_7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f656,f136,f132,f37,f560,f560,f560,f563]) ).

fof(f656,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X5)
        | identity != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f655,f401]) ).

fof(f401,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f368,f2]) ).

fof(f368,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f176]) ).

fof(f655,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f654,f401]) ).

fof(f654,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f653,f401]) ).

fof(f653,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != multiply(X3,sk_c7)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f652,f401]) ).

fof(f652,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f651,f401]) ).

fof(f651,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f575,f401]) ).

fof(f575,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f12,f24,f6,f1,f2,f18,f3,f35,f26,f25,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f20,f19,f17,f16,f15,f9,f21,f39,f126,f128,f33,f134,f137,f140,f142,f145,f146,f147,f149,f148,f150,f151,f152,f155,f156,f154,f157,f158,f160,f153,f161,f162,f171,f172,f168,f169,f174,f179,f176,f180,f167,f184,f185,f187,f181,f190,f192,f159,f203,f61,f356,f366,f406,f409,f410,f408,f353,f540,f530,f545,f546,f558,f548,f544,f543,f529,f528,f426,f400,f401,f574]) ).

fof(f574,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | identity != sk_c7
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f573,f408]) ).

fof(f573,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | identity != sk_c7
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f572,f408]) ).

fof(f572,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | identity != sk_c7
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f571,f408]) ).

fof(f571,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | identity != sk_c7
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f570,f154]) ).

fof(f570,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c7
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f569,f408]) ).

fof(f569,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c8
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f568,f154]) ).

fof(f568,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f567,f176]) ).

fof(f567,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f566,f408]) ).

fof(f566,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f446,f408]) ).

fof(f446,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f35,f145]) ).

fof(f400,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f367,f2]) ).

fof(f367,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f61,f157]) ).

fof(f426,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f176,f408]) ).

fof(f192,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,multiply(sk_c1,X0))) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f191,f1]) ).

fof(f191,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f189,f3]) ).

fof(f189,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(multiply(sk_c8,sk_c1),X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f181]) ).

fof(f190,plain,
    ( multiply(sk_c8,sk_c1) = multiply(sk_c8,multiply(sk_c8,sk_c1))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f188,f167]) ).

fof(f188,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c8,multiply(sk_c8,sk_c1))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f181]) ).

fof(f181,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,sk_c1))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f142,f167]) ).

fof(f187,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f186,f3]) ).

fof(f186,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = multiply(multiply(sk_c8,sk_c1),X0)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f185]) ).

fof(f185,plain,
    ( multiply(sk_c8,sk_c1) = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f168,f167]) ).

fof(f184,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f183,f1]) ).

fof(f183,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = multiply(sk_c2,multiply(identity,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f182,f3]) ).

fof(f182,plain,
    ( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = multiply(multiply(sk_c8,sk_c1),X0)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f3,f167]) ).

fof(f167,plain,
    ( multiply(sk_c8,sk_c1) = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f153,f126]) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f176]) ).

fof(f171,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f163,f151]) ).

fof(f163,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f153,f157]) ).

fof(f161,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f153,f128]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f157]) ).

fof(f157,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f148,f154]) ).

fof(f150,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f3,f148]) ).

fof(f565,plain,
    ( spl0_7
    | spl0_8
    | spl0_7
    | spl0_7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f511,f136,f132,f41,f37,f560,f560,f563,f560]) ).

fof(f511,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f510,f436]) ).

fof(f436,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f423,f235]) ).

fof(f510,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f509,f436]) ).

fof(f509,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f508,f436]) ).

fof(f508,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f507,f436]) ).

fof(f507,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f506,f436]) ).

fof(f506,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f505,f436]) ).

fof(f505,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f504,f436]) ).

fof(f504,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f455,f436]) ).

fof(f455,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f454,f215]) ).

fof(f454,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f453,f215]) ).

fof(f453,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f452,f215]) ).

fof(f452,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f451,f154]) ).

fof(f451,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f450,f215]) ).

fof(f450,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c8
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f449,f154]) ).

fof(f449,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c6
        | sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f448,f176]) ).

fof(f448,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != inverse(X7)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f447,f215]) ).

fof(f447,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != inverse(X7)
        | sk_c8 != inverse(X5)
        | sk_c7 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c8,sk_c7)
        | sk_c6 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != multiply(X5,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f446,f215]) ).

fof(f139,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f136,f132]) ).

fof(f125,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_4
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f99,f41,f37,f123,f120,f120,f120]) ).

fof(f120,plain,
    ( spl0_3
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f123,plain,
    ( spl0_4
  <=> ! [X7] :
        ( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f18,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP335-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n014.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   : Tue Apr 30 04:25:04 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  % (25573)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (25577)WARNING: value z3 for option sas not known
% 0.12/0.35  % (25577)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35  % (25575)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35  % (25580)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.35  % (25581)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.35  % (25579)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.35  % (25578)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35  % (25576)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [4]
% 0.12/0.38  TRYING [4]
% 0.12/0.38  TRYING [5]
% 0.18/0.41  TRYING [6]
% 0.18/0.45  TRYING [5]
% 0.18/0.45  % (25577)First to succeed.
% 0.18/0.49  % (25577)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (25577)------------------------------
% 0.18/0.50  % (25577)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.50  % (25577)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (25577)Memory used [KB]: 2252
% 0.18/0.50  % (25577)Time elapsed: 0.134 s
% 0.18/0.50  % (25577)Instructions burned: 290 (million)
% 0.18/0.50  % (25577)------------------------------
% 0.18/0.50  % (25577)------------------------------
% 0.18/0.50  % (25573)Success in time 0.139 s
%------------------------------------------------------------------------------