%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP265-1 : 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 : n016.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 11:55:55 EDT 2024

% Result   : Unsatisfiable 0.17s 0.44s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   47
% Syntax   : Number of formulae    : 1026 (  84 unt;   0 def)
%            Number of atoms       : 3583 (1175 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives : 4367 (1810   ~;2542   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  450 ( 450   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2818,plain,
    $false,
    inference(avatar_sat_refutation,[],[f42,f131,f145,f484,f553,f624,f631,f1524,f1790,f1795,f1797,f1870,f1977,f1980,f1987,f1993,f1996,f2046,f2052,f2056,f2058,f2060,f2062,f2068,f2076,f2141,f2192,f2208,f2210,f2212,f2214,f2232,f2239,f2247,f2250,f2252,f2255,f2258,f2261,f2263,f2265,f2267,f2269,f2271,f2274,f2277,f2279,f2281,f2283,f2286,f2288,f2290,f2292,f2294,f2296,f2298,f2300,f2302,f2304,f2306,f2308,f2310,f2312,f2314,f2316,f2318,f2320,f2322,f2324,f2326,f2328,f2330,f2332,f2334,f2336,f2338,f2342,f2345,f2347,f2349,f2351,f2353,f2355,f2357,f2359,f2362,f2364,f2366,f2368,f2370,f2372,f2374,f2376,f2378,f2380,f2382,f2384,f2386,f2388,f2390,f2392,f2394,f2396,f2398,f2400,f2402,f2404,f2406,f2408,f2410,f2412,f2414,f2416,f2418,f2420,f2422,f2424,f2426,f2428,f2430,f2432,f2434,f2436,f2438,f2440,f2442,f2444,f2446,f2448,f2450,f2520,f2522,f2640,f2649,f2652,f2658,f2663,f2667,f2672,f2676,f2680,f2684,f2689,f2692,f2695,f2697,f2699,f2701,f2703,f2706,f2708,f2710,f2712,f2716,f2718,f2732,f2735,f2738,f2741,f2744,f2746,f2748,f2750,f2752,f2754,f2756,f2758,f2760,f2762,f2764,f2766,f2770,f2773,f2777,f2780,f2784,f2786,f2788,f2790,f2792,f2794,f2796,f2798,f2800,f2802,f2804,f2806,f2809,f2812,f2814,f2817]) ).

fof(f2817,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2816]) ).

fof(f2816,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682,f2690,f2815]) ).

fof(f2815,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_1
    | spl0_7 ),
    inference(forward_demodulation,[],[f143,f78]) ).

fof(f2690,plain,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c1,sk_c9) = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f10,f78]) ).

fof(f2682,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2681,f78]) ).

fof(f2681,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f17,f36]) ).

fof(f2704,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2)
    | spl0_1 ),
    inference(forward_demodulation,[],[f31,f78]) ).

fof(f2674,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2673,f78]) ).

fof(f2673,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f24,f78]) ).

fof(f2656,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1 ),
    inference(forward_demodulation,[],[f46,f78]) ).

fof(f2782,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2781,f78]) ).

fof(f2781,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f36]) ).

fof(f2778,plain,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c1,sk_c9) = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f7,f78]) ).

fof(f2775,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2774,f78]) ).

fof(f2774,plain,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f21,f78]) ).

fof(f2771,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(forward_demodulation,[],[f44,f78]) ).

fof(f2590,plain,
    ( identity = multiply(sk_c3,multiply(sk_c9,inverse(sk_c8)))
    | spl0_1 ),
    inference(superposition,[],[f1054,f2529]) ).

fof(f2645,plain,
    ( sk_c8 = multiply(inverse(sk_c4),sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f62,f2619]) ).

fof(f2646,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f2619]) ).

fof(f2653,plain,
    ( identity = multiply(sk_c4,identity)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2644,f884]) ).

fof(f2644,plain,
    ( identity = multiply(sk_c4,multiply(sk_c8,inverse(sk_c8)))
    | spl0_1 ),
    inference(superposition,[],[f1054,f2619]) ).

fof(f2619,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2534,f78]) ).

fof(f2638,plain,
    ( identity = sk_c6
    | spl0_1 ),
    inference(forward_demodulation,[],[f2635,f2]) ).

fof(f2635,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f62,f2618]) ).

fof(f2636,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f2618]) ).

fof(f2618,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2533,f78]) ).

fof(f2592,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f2529]) ).

fof(f2529,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | spl0_1 ),
    inference(global_subsumption,[],[f19,f1,f2,f12,f36,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f78,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4]) ).

fof(f78,plain,
    ( sk_c8 = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f76,f50]) ).

fof(f76,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f67,f51]) ).

fof(f36,plain,
    ( sk_c9 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_1
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f33,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | sk_c7 != inverse(X8)
      | sk_c7 != inverse(X6)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) ),
    inference(equality_resolution,[],[f32]) ).

fof(f32,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | sk_c7 != inverse(X8)
      | sk_c7 != inverse(X6)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X5,sk_c9)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(sk_c7,X7)
      | multiply(X8,sk_c7) != X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f22,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f8,axiom,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f19,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f6,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f2535,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | spl0_1 ),
    inference(global_subsumption,[],[f19,f1,f2,f12,f36,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f78,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f29,f27,f25,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f2529,f15,f2533,f13,f2534,f11]) ).

fof(f11,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f2534,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f19,f1,f2,f12,f36,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f78,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f29,f27,f25,f16,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f2529,f15,f2533,f13]) ).

fof(f13,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f2533,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(global_subsumption,[],[f19,f1,f2,f12,f36,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f78,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f29,f27,f25,f16,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f2529,f15]) ).

fof(f15,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c7,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f5,axiom,
    ( sk_c9 = inverse(sk_c3)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f26,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f857,plain,
    identity = inverse(identity),
    inference(superposition,[],[f813,f329]) ).

fof(f860,plain,
    identity = inverse(identity),
    inference(superposition,[],[f329,f813]) ).

fof(f921,plain,
    identity = inverse(identity),
    inference(superposition,[],[f888,f2]) ).

fof(f922,plain,
    identity = inverse(identity),
    inference(superposition,[],[f888,f328]) ).

fof(f937,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f888]) ).

fof(f938,plain,
    identity = inverse(identity),
    inference(superposition,[],[f328,f888]) ).

fof(f1047,plain,
    identity = inverse(identity),
    inference(superposition,[],[f884,f1]) ).

fof(f1055,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f884]) ).

fof(f1826,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f940,f917]) ).

fof(f940,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f813,f888]) ).

fof(f1827,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f924,f917]) ).

fof(f924,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f888,f813]) ).

fof(f1375,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1239,f2]) ).

fof(f1239,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f1054,f62]) ).

fof(f1376,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1240,f884]) ).

fof(f1240,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1054,f890]) ).

fof(f1392,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1256,f2]) ).

fof(f1256,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f62,f1054]) ).

fof(f1393,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1257,f884]) ).

fof(f1257,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f890,f1054]) ).

fof(f143,plain,
    ( sk_c7 != inverse(sk_c4)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1177,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1054,f2]) ).

fof(f1822,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f1180,f917]) ).

fof(f1180,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1054,f813]) ).

fof(f1329,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f1209,f3]) ).

fof(f1209,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f1054,f1054]) ).

fof(f1211,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f1054,f884]) ).

fof(f1225,plain,
    ! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
    inference(superposition,[],[f1054,f328]) ).

fof(f1424,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1275,f3]) ).

fof(f1275,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f1054]) ).

fof(f1423,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1274,f888]) ).

fof(f1274,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f890,f1054]) ).

fof(f1421,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1420,f1]) ).

fof(f1420,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))),
    inference(forward_demodulation,[],[f1272,f3]) ).

fof(f1272,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)),
    inference(superposition,[],[f3,f1054]) ).

fof(f1419,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1271,f888]) ).

fof(f1271,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f62,f1054]) ).

fof(f1384,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1248,f3]) ).

fof(f1248,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f1054,f3]) ).

fof(f1231,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f1054,f3]) ).

fof(f1185,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f1054,f3]) ).

fof(f1054,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f884,f3]) ).

fof(f1152,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f890]) ).

fof(f1136,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f890,f3]) ).

fof(f890,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f344,f62]) ).

fof(f1071,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f884]) ).

fof(f1095,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1069,f1]) ).

fof(f1069,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f884]) ).

fof(f884,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f344,f2]) ).

fof(f1027,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f917]) ).

fof(f1026,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f62,f917]) ).

fof(f917,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f888,f329]) ).

fof(f1000,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f953,f888]) ).

fof(f953,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f344,f888]) ).

fof(f933,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f329,f888]) ).

fof(f977,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f928,f888]) ).

fof(f928,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f888,f344]) ).

fof(f888,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f344,f329]) ).

fof(f905,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f62,f344]) ).

fof(f903,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f329,f344]) ).

fof(f898,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f62,f344]) ).

fof(f897,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f344]) ).

fof(f344,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f62,f62]) ).

fof(f863,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f859,f1]) ).

fof(f859,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f813]) ).

fof(f858,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f62,f813]) ).

fof(f813,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f62,f329]) ).

fof(f821,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f814,f1]) ).

fof(f814,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f329]) ).

fof(f329,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f62,f2]) ).

fof(f513,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f62,f328]) ).

fof(f328,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f62,f1]) ).

fof(f7,axiom,
    ( sk_c7 = inverse(sk_c4)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c5)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f9,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f331,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f62,f3]) ).

fof(f62,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(f157,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f155]) ).

fof(f153,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f151]) ).

fof(f155,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f21,f143]) ).

fof(f151,plain,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | spl0_7 ),
    inference(subsumption_resolution,[],[f7,f143]) ).

fof(f28,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f14,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f17,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f16,axiom,
    ( sk_c9 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f94,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f93,f78]) ).

fof(f93,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f92,f78]) ).

fof(f92,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X6)
        | sk_c8 != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f91,f78]) ).

fof(f91,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f90,f78]) ).

fof(f90,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f33,f78]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f86,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f67,f78]) ).

fof(f85,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f66,f78]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f87]) ).

fof(f87,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f72,f78]) ).

fof(f102,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f84]) ).

fof(f84,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f51,f78]) ).

fof(f100,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f83]) ).

fof(f83,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f50,f78]) ).

fof(f98,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f82]) ).

fof(f99,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f97,f78]) ).

fof(f97,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f66,f82]) ).

fof(f82,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f49,f78]) ).

fof(f96,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f95,f1]) ).

fof(f95,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f81]) ).

fof(f81,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f47,f78]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f88,f1]) ).

fof(f88,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f80]) ).

fof(f80,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f45,f78]) ).

fof(f67,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f61,f1]) ).

fof(f61,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f75,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f72]) ).

fof(f72,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f66,f49]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f57,f1]) ).

fof(f57,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f59,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f51]) ).

fof(f58,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f51,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f36]) ).

fof(f50,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f36]) ).

fof(f49,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f36]) ).

fof(f48,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f11,f36]) ).

fof(f47,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f17,f36]) ).

fof(f45,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f44]) ).

fof(f44,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f36]) ).

fof(f12,axiom,
    ( sk_c9 = inverse(sk_c3)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f2814,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2813]) ).

fof(f2813,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f387,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682,f2690]) ).

fof(f387,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f354,f2]) ).

fof(f354,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f62,f156]) ).

fof(f156,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f148,f155]) ).

fof(f148,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f147,f1]) ).

fof(f147,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f146]) ).

fof(f146,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f140]) ).

fof(f140,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2812,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2811]) ).

fof(f2811,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2810,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682,f2690]) ).

fof(f2810,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f548,f78]) ).

fof(f548,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f546,plain,
    ( spl0_11
  <=> sk_c7 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2809,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2808]) ).

fof(f2808,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2807,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682,f2690]) ).

fof(f2807,plain,
    ( sk_c5 = inverse(sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1005,f78]) ).

fof(f1005,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_11 ),
    inference(superposition,[],[f917,f548]) ).

fof(f2806,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2805]) ).

fof(f2805,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_15 ),
    inference(global_subsumption,[],[f2140,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682,f2690]) ).

fof(f2140,plain,
    ( identity = sk_c7
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f2138]) ).

fof(f2138,plain,
    ( spl0_15
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f2804,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2803]) ).

fof(f2803,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682,f2690]) ).

fof(f2802,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2801]) ).

fof(f2801,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2687,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682]) ).

fof(f2687,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2686,f2136]) ).

fof(f2136,plain,
    ( identity = sk_c6
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f2134]) ).

fof(f2134,plain,
    ( spl0_14
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f2686,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f2685,f78]) ).

fof(f2685,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f36]) ).

fof(f2800,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2799]) ).

fof(f2799,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704,f2682]) ).

fof(f2798,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2797]) ).

fof(f2797,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674,f2704]) ).

fof(f2796,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2795]) ).

fof(f2795,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2645,f2590,f2771,f2775,f2778,f2782,f2656,f2674]) ).

fof(f2794,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2793]) ).

fof(f2793,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2670,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2645,f2590,f2771,f2775,f2778,f2782,f2656]) ).

fof(f2670,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2669,f78]) ).

fof(f2669,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2668,f2136]) ).

fof(f2668,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f23,f78]) ).

fof(f2792,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2791]) ).

fof(f2791,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2665,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2645,f2590,f2771,f2775,f2778,f2782,f2656]) ).

fof(f2665,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c9) = sk_c8
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2664,f2136]) ).

fof(f2664,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | multiply(sk_c1,sk_c9) = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f9,f78]) ).

fof(f2790,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2789]) ).

fof(f2789,plain,
    ( $false
    | spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2714,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2645,f2590,f2771,f2775,f2778,f2782,f2656]) ).

fof(f2714,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2713,f2136]) ).

fof(f2713,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | spl0_1 ),
    inference(forward_demodulation,[],[f30,f78]) ).

fof(f2788,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2787]) ).

fof(f2787,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2645,f2590,f2771,f2775,f2778,f2782,f2656]) ).

fof(f2786,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2785]) ).

fof(f2785,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f140,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656,f2645,f2590,f2771,f2775,f2778,f2782]) ).

fof(f2784,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2783]) ).

fof(f2783,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656,f2645,f2590,f2771,f2775,f2778,f2782]) ).

fof(f2780,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2779]) ).

fof(f2779,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656,f2645,f2590,f2771,f2775,f2778]) ).

fof(f2777,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2776]) ).

fof(f2776,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656,f2645,f2590,f2771,f2775]) ).

fof(f2773,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2772]) ).

fof(f2772,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656,f2645,f2590,f2771]) ).

fof(f2770,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2769]) ).

fof(f2769,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656,f2645,f2590]) ).

fof(f2766,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2765]) ).

fof(f2765,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656,f2645]) ).

fof(f2764,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2763]) ).

fof(f2763,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f1374,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f1374,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1238,f564]) ).

fof(f564,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f339,f2]) ).

fof(f339,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f148]) ).

fof(f1238,plain,
    ( identity = inverse(multiply(sk_c2,sk_c8))
    | ~ spl0_6 ),
    inference(superposition,[],[f1054,f566]) ).

fof(f566,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f339,f62]) ).

fof(f2762,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2761]) ).

fof(f2761,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f1371,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f1371,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1235,f146]) ).

fof(f1235,plain,
    ( identity = inverse(multiply(sk_c8,sk_c2))
    | ~ spl0_6 ),
    inference(superposition,[],[f1054,f148]) ).

fof(f2760,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2759]) ).

fof(f2759,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f811,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f811,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f506,f329]) ).

fof(f506,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f494]) ).

fof(f494,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f357]) ).

fof(f357,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f146]) ).

fof(f2758,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2757]) ).

fof(f2757,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f808,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f808,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f329,f506]) ).

fof(f2756,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2755]) ).

fof(f2755,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f1391,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f1391,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1255,f564]) ).

fof(f1255,plain,
    ( identity = inverse(multiply(sk_c2,sk_c8))
    | ~ spl0_6 ),
    inference(superposition,[],[f566,f1054]) ).

fof(f2754,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2753]) ).

fof(f2753,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f1388,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f1388,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1252,f146]) ).

fof(f1252,plain,
    ( identity = inverse(multiply(sk_c8,sk_c2))
    | ~ spl0_6 ),
    inference(superposition,[],[f148,f1054]) ).

fof(f2752,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2751]) ).

fof(f2751,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f1006,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f1006,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f917,f140]) ).

fof(f2750,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2749]) ).

fof(f2749,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f935,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f935,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f357,f888]) ).

fof(f2748,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2747]) ).

fof(f2747,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(global_subsumption,[],[f919,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f151,f155,f153,f157,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f143,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2690,f2682,f2704,f2674,f2656]) ).

fof(f919,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f888,f357]) ).

fof(f2746,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2745]) ).

fof(f2745,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f140,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2693,f2690,f2682,f2704,f2674,f2656]) ).

fof(f2693,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_1
    | spl0_11 ),
    inference(forward_demodulation,[],[f547,f78]) ).

fof(f547,plain,
    ( sk_c7 != inverse(sk_c5)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f2744,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2743]) ).

fof(f2743,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(global_subsumption,[],[f2742,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2693,f2690,f2682,f2704,f2674,f2656]) ).

fof(f2742,plain,
    ( sk_c4 = sk_c2
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f919,f2555]) ).

fof(f2555,plain,
    ( sk_c4 = inverse(sk_c8)
    | spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f920,f78]) ).

fof(f920,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f888,f491]) ).

fof(f491,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f490]) ).

fof(f490,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f144]) ).

fof(f144,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f2741,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2740]) ).

fof(f2740,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(global_subsumption,[],[f2739,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2693,f2690,f2682,f2704,f2674,f2656]) ).

fof(f2739,plain,
    ( sk_c4 = sk_c2
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f935,f2555]) ).

fof(f2738,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2737]) ).

fof(f2737,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(global_subsumption,[],[f2736,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2693,f2690,f2682,f2704,f2674,f2656]) ).

fof(f2736,plain,
    ( sk_c4 = sk_c2
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1006,f2555]) ).

fof(f2735,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2734]) ).

fof(f2734,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(global_subsumption,[],[f2733,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2693,f2690,f2682,f2704,f2674,f2656]) ).

fof(f2733,plain,
    ( sk_c4 = sk_c2
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f808,f2555]) ).

fof(f2732,plain,
    ( spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2731]) ).

fof(f2731,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11 ),
    inference(global_subsumption,[],[f2730,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2693,f2690,f2682,f2704,f2674,f2656]) ).

fof(f2730,plain,
    ( sk_c4 = sk_c2
    | spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f811,f2555]) ).

fof(f2718,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2717]) ).

fof(f2717,plain,
    ( $false
    | spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2693,f2690,f2682,f2704,f2674,f2656]) ).

fof(f2716,plain,
    ( spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2715]) ).

fof(f2715,plain,
    ( $false
    | spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2714,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2693,f2690,f2682,f2704,f2674]) ).

fof(f2712,plain,
    ( spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2711]) ).

fof(f2711,plain,
    ( $false
    | spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2665,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2693,f2690,f2682,f2704,f2674]) ).

fof(f2710,plain,
    ( spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2709]) ).

fof(f2709,plain,
    ( $false
    | spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2670,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2693,f2690,f2682,f2704,f2674]) ).

fof(f2708,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2707]) ).

fof(f2707,plain,
    ( $false
    | spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2693,f2690,f2682,f2704,f2674]) ).

fof(f2706,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2705]) ).

fof(f2705,plain,
    ( $false
    | spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2674,f2693,f2690,f2682,f2704]) ).

fof(f2703,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2702]) ).

fof(f2702,plain,
    ( $false
    | spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2674,f2693,f2690,f2682]) ).

fof(f2701,plain,
    ( spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2700]) ).

fof(f2700,plain,
    ( $false
    | spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2687,f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2674,f2682,f2693,f2690]) ).

fof(f2699,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2698]) ).

fof(f2698,plain,
    ( $false
    | spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2674,f2682,f2693,f2690]) ).

fof(f2697,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2696]) ).

fof(f2696,plain,
    ( $false
    | spl0_1
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f12,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f2533,f13,f2534,f11,f2535,f6,f19,f25,f27,f29,f8,f18,f20,f22,f33,f36,f78,f2529,f2592,f2618,f2636,f2638,f2619,f2653,f2646,f2656,f2674,f2682,f2690,f2693]) ).

fof(f2695,plain,
    ( spl0_1
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2694]) ).

fof(f2694,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f2693,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f139,plain,
    ( sk_c8 != inverse(sk_c2)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f2553,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f33,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22]) ).

fof(f2552,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20]) ).

fof(f2551,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18]) ).

fof(f2550,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8]) ).

fof(f2547,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29]) ).

fof(f2546,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f29,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19,f2544,f25,f2545,f27]) ).

fof(f2545,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f29,f27,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19,f2544,f25]) ).

fof(f2544,plain,
    ( sk_c9 = inverse(sk_c3)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f12,f3,f30,f29,f27,f25,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6,f2538,f19]) ).

fof(f2538,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f19,f1,f2,f12,f3,f30,f29,f27,f25,f16,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f139,f6]) ).

fof(f2692,plain,
    ( spl0_1
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2691]) ).

fof(f2691,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f2690,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2689,plain,
    ( spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2688]) ).

fof(f2688,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2687,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2684,plain,
    ( spl0_1
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2683]) ).

fof(f2683,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f2682,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2680,plain,
    ( spl0_1
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2679]) ).

fof(f2679,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f2678,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2678,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f2677,f78]) ).

fof(f2677,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f31,f139]) ).

fof(f2676,plain,
    ( spl0_1
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2675]) ).

fof(f2675,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f2674,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2672,plain,
    ( spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2671]) ).

fof(f2671,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2670,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2667,plain,
    ( spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2666]) ).

fof(f2666,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2665,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2663,plain,
    ( spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f2661,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2661,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2660,f2136]) ).

fof(f2660,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f2659,f78]) ).

fof(f2659,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f30,f139]) ).

fof(f2658,plain,
    ( spl0_1
    | spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2657]) ).

fof(f2657,plain,
    ( $false
    | spl0_1
    | spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f2656,f1,f2,f12,f3,f30,f16,f31,f17,f14,f28,f62,f331,f23,f9,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f547,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f26,f5,f4,f15,f13,f11,f6,f2538,f19,f2544,f25,f2545,f27,f2546,f29,f2547,f8,f2550,f18,f2551,f20,f2552,f22,f2553,f33,f139]) ).

fof(f2652,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2651]) ).

fof(f2651,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2650,f551]) ).

fof(f551,plain,
    ( identity != sk_c8
    | spl0_12 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f550,plain,
    ( spl0_12
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2650,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2643,f2136]) ).

fof(f2643,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f2617,f2619]) ).

fof(f2617,plain,
    ( sk_c6 = multiply(sk_c4,sk_c8)
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2532,f78]) ).

fof(f2532,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f19,f1,f2,f12,f36,f44,f45,f46,f47,f48,f49,f50,f51,f3,f58,f59,f60,f66,f72,f75,f67,f78,f80,f89,f81,f96,f82,f99,f98,f83,f100,f84,f102,f87,f103,f85,f86,f55,f94,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f24,f21,f10,f7,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1825,f1091,f1004,f997,f974,f936,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1047,f938,f937,f922,f921,f860,f857,f1005,f548,f558,f144,f2460,f2461,f2462,f2463,f2470,f2465,f2466,f2467,f920,f2474,f2475,f2485,f2479,f2480,f1390,f1389,f1373,f1372,f26,f5,f4,f2529,f2531]) ).

fof(f2531,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | sk_c9 = inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16,f558]) ).

fof(f1372,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1236,f588]) ).

fof(f1236,plain,
    ( identity = inverse(multiply(sk_c4,sk_c7))
    | ~ spl0_7 ),
    inference(superposition,[],[f1054,f590]) ).

fof(f1373,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1237,f490]) ).

fof(f1237,plain,
    ( identity = inverse(multiply(sk_c7,sk_c4))
    | ~ spl0_7 ),
    inference(superposition,[],[f1054,f489]) ).

fof(f1389,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1253,f588]) ).

fof(f1253,plain,
    ( identity = inverse(multiply(sk_c4,sk_c7))
    | ~ spl0_7 ),
    inference(superposition,[],[f590,f1054]) ).

fof(f1390,plain,
    ( identity = inverse(identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1254,f490]) ).

fof(f1254,plain,
    ( identity = inverse(multiply(sk_c7,sk_c4))
    | ~ spl0_7 ),
    inference(superposition,[],[f489,f1054]) ).

fof(f2480,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f890,f920]) ).

fof(f2479,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f884,f920]) ).

fof(f2485,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2478,f917]) ).

fof(f2478,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f813,f920]) ).

fof(f2475,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f920]) ).

fof(f2474,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f920]) ).

fof(f2467,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f917,f144]) ).

fof(f2466,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f890,f144]) ).

fof(f2465,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f884,f144]) ).

fof(f2470,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2464,f917]) ).

fof(f2464,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f813,f144]) ).

fof(f2463,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f344,f144]) ).

fof(f2462,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f329,f144]) ).

fof(f2461,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f144]) ).

fof(f2460,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f144]) ).

fof(f558,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f556,f491]) ).

fof(f556,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f62,f555]) ).

fof(f936,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f491,f888]) ).

fof(f974,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f927,f589]) ).

fof(f927,plain,
    ( inverse(sk_c7) = multiply(sk_c4,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f888,f499]) ).

fof(f997,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f943,f589]) ).

fof(f943,plain,
    ( inverse(sk_c7) = multiply(sk_c4,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f499,f888]) ).

fof(f1004,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f917,f144]) ).

fof(f1091,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1066,f589]) ).

fof(f1066,plain,
    ( inverse(sk_c7) = multiply(sk_c4,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f590,f884]) ).

fof(f1825,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1005,f558]) ).

fof(f1183,plain,
    ( ! [X0] : identity = multiply(inverse(sk_c7),multiply(X0,inverse(multiply(sk_c4,X0))))
    | ~ spl0_7 ),
    inference(superposition,[],[f1054,f499]) ).

fof(f1218,plain,
    ( identity = multiply(sk_c7,multiply(sk_c4,inverse(identity)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1054,f490]) ).

fof(f1816,plain,
    ( identity = multiply(sk_c7,multiply(sk_c4,inverse(identity)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1219,f917]) ).

fof(f1219,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),multiply(sk_c4,inverse(identity)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1054,f497]) ).

fof(f1220,plain,
    ( identity = multiply(sk_c4,multiply(sk_c7,inverse(identity)))
    | ~ spl0_7 ),
    inference(superposition,[],[f1054,f588]) ).

fof(f1815,plain,
    ( identity = multiply(sk_c7,multiply(sk_c4,inverse(identity)))
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1221,f558]) ).

fof(f1221,plain,
    ( identity = multiply(sk_c7,multiply(sk_c5,inverse(identity)))
    | ~ spl0_11 ),
    inference(superposition,[],[f1054,f555]) ).

fof(f1229,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c4,inverse(multiply(X0,inverse(sk_c7)))))
    | ~ spl0_7 ),
    inference(superposition,[],[f1054,f499]) ).

fof(f1814,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1268,f597]) ).

fof(f1268,plain,
    ( ! [X0] : multiply(sk_c7,identity) = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f489,f1054]) ).

fof(f1813,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1269,f589]) ).

fof(f1269,plain,
    ( ! [X0] : multiply(sk_c4,identity) = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_7 ),
    inference(superposition,[],[f590,f1054]) ).

fof(f590,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f499,f62]) ).

fof(f597,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f489,f588]) ).

fof(f589,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f499,f491]) ).

fof(f601,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f599,f1]) ).

fof(f599,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f588]) ).

fof(f600,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f598,f144]) ).

fof(f598,plain,
    ( sk_c7 = multiply(inverse(sk_c4),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f588]) ).

fof(f588,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f499,f2]) ).

fof(f595,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f499]) ).

fof(f594,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f491,f499]) ).

fof(f592,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f499]) ).

fof(f591,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f499]) ).

fof(f499,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f498,f1]) ).

fof(f498,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f491]) ).

fof(f559,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f557,f1]) ).

fof(f557,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f555]) ).

fof(f555,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f548]) ).

fof(f554,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_11 ),
    inference(superposition,[],[f62,f548]) ).

fof(f511,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f510,f1]) ).

fof(f510,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c4,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f497]) ).

fof(f509,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f497]) ).

fof(f497,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f491]) ).

fof(f500,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f489]) ).

fof(f489,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f144]) ).

fof(f493,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f492,f1]) ).

fof(f492,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f490]) ).

fof(f2649,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2648]) ).

fof(f2648,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_12
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f2647,f551]) ).

fof(f2647,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2642,f2136]) ).

fof(f2642,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f2619,f2617]) ).

fof(f2640,plain,
    ( spl0_1
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2639]) ).

fof(f2639,plain,
    ( $false
    | spl0_1
    | spl0_14 ),
    inference(subsumption_resolution,[],[f2638,f2135]) ).

fof(f2135,plain,
    ( identity != sk_c6
    | spl0_14 ),
    inference(avatar_component_clause,[],[f2134]) ).

fof(f2522,plain,
    ( spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2521]) ).

fof(f2521,plain,
    ( $false
    | spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2515,f2139]) ).

fof(f2139,plain,
    ( identity != sk_c7
    | spl0_15 ),
    inference(avatar_component_clause,[],[f2138]) ).

fof(f2515,plain,
    ( identity = sk_c7
    | spl0_6
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f888,f2512]) ).

fof(f2512,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_6
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f2458,f2136]) ).

fof(f2458,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f2242,f2272,f2275,f2227,f2223,f2455,f1856,f2456,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838]) ).

fof(f1838,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1837,f552]) ).

fof(f1837,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f22,f552]) ).

fof(f2284,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f31,f552]) ).

fof(f2456,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f2242,f2272,f2275,f2227,f2223,f2455,f1856]) ).

fof(f1856,plain,
    ( identity = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f30,f552]) ).

fof(f2455,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2242,f2272,f2275,f2227,f2223]) ).

fof(f2223,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f23,f552]) ).

fof(f2227,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f24,f552]) ).

fof(f2275,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1863,f552]) ).

fof(f1863,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f27,f552]) ).

fof(f2272,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1839,f552]) ).

fof(f1839,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f20,f552]) ).

fof(f2242,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f21,f552]) ).

fof(f1861,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1860,f552]) ).

fof(f1860,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f29,f552]) ).

fof(f1868,plain,
    ( identity != inverse(sk_c2)
    | spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f139,f552]) ).

fof(f2360,plain,
    ( identity != inverse(sk_c2)
    | spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f139,f552]) ).

fof(f1833,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(sk_c7,multiply(X8,sk_c7))
        | identity != multiply(X6,sk_c7)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1832,f552]) ).

fof(f1832,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X6,sk_c7)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1831,f552]) ).

fof(f1831,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1830,f552]) ).

fof(f1830,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X5,sk_c9)
        | sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1829,f552]) ).

fof(f1829,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1828,f552]) ).

fof(f1828,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f33,f552]) ).

fof(f1866,plain,
    ( identity = multiply(sk_c3,sk_c9)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1865,f552]) ).

fof(f1865,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f552]) ).

fof(f1842,plain,
    ( identity = multiply(sk_c3,sk_c9)
    | sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1841,f552]) ).

fof(f1841,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f18,f552]) ).

fof(f552,plain,
    ( identity = sk_c8
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f2520,plain,
    ( spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2519]) ).

fof(f2519,plain,
    ( $false
    | spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2514,f2139]) ).

fof(f2514,plain,
    ( identity = sk_c7
    | spl0_6
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f2512,f888]) ).

fof(f2450,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2449]) ).

fof(f2449,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2223,f2227,f2275,f2272,f2242,f547]) ).

fof(f2448,plain,
    ( spl0_6
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2447]) ).

fof(f2447,plain,
    ( $false
    | spl0_6
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2253,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2223,f2227,f2275,f2272,f2242]) ).

fof(f2253,plain,
    ( ! [X8] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X8) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f483,f888]) ).

fof(f483,plain,
    ( ! [X8] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_10
  <=> ! [X8] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != inverse(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2446,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2445]) ).

fof(f2445,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2223,f2227,f2275,f2272,f2242]) ).

fof(f2444,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2443]) ).

fof(f2443,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2223,f2227,f2275,f2272]) ).

fof(f2442,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2441]) ).

fof(f2441,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2223,f2227,f2275]) ).

fof(f2440,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2439]) ).

fof(f2439,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2223,f2227]) ).

fof(f2438,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2437]) ).

fof(f2437,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856,f2223]) ).

fof(f2436,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2435]) ).

fof(f2435,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284,f1856]) ).

fof(f2434,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2433]) ).

fof(f2433,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393,f2284]) ).

fof(f2432,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2431]) ).

fof(f2431,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1534,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393]) ).

fof(f1534,plain,
    ( sk_c1 = multiply(sk_c1,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1402,f132]) ).

fof(f132,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f37]) ).

fof(f37,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f1402,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1266,f518]) ).

fof(f518,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f345]) ).

fof(f345,plain,
    ( sk_c1 = multiply(inverse(sk_c9),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f132]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f134]) ).

fof(f134,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f133,f1]) ).

fof(f133,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f132]) ).

fof(f1266,plain,
    ( ! [X0] : multiply(sk_c1,identity) = multiply(X0,inverse(multiply(sk_c9,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f519,f1054]) ).

fof(f519,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f62]) ).

fof(f2430,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2429]) ).

fof(f2429,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1432,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393]) ).

fof(f1432,plain,
    ( sk_c9 = multiply(sk_c9,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1400,f517]) ).

fof(f517,plain,
    ( identity = multiply(sk_c1,sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f2]) ).

fof(f1400,plain,
    ( ! [X0] : sk_c9 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1264,f724]) ).

fof(f724,plain,
    ( sk_c9 = multiply(inverse(inverse(sk_c9)),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f505,f517]) ).

fof(f505,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c9)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f504,f1]) ).

fof(f504,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c9)),multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f465]) ).

fof(f465,plain,
    ( identity = multiply(inverse(inverse(sk_c9)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f345]) ).

fof(f1264,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c9)),identity) = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f505,f1054]) ).

fof(f2428,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2427]) ).

fof(f2427,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392,f1393]) ).

fof(f2426,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2425,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376,f1392]) ).

fof(f2424,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375,f1376]) ).

fof(f2422,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2421]) ).

fof(f2421,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827,f1375]) ).

fof(f2420,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826,f1827]) ).

fof(f2418,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2417]) ).

fof(f2417,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055,f1826]) ).

fof(f2416,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2415]) ).

fof(f2415,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838,f1055]) ).

fof(f2414,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2413]) ).

fof(f2413,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047,f1838]) ).

fof(f2412,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2411]) ).

fof(f2411,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938,f1047]) ).

fof(f2410,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2409]) ).

fof(f2409,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f2360,f1868,f1861,f857,f860,f921,f922,f937,f938]) ).

fof(f2408,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2407]) ).

fof(f2407,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f2360,f1868,f1861,f857,f860,f921,f922,f937]) ).

fof(f2406,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2405]) ).

fof(f2405,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f2360,f1868,f1861,f857,f860,f921,f922]) ).

fof(f2404,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2403]) ).

fof(f2403,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f2360,f1868,f1861,f857,f860,f921]) ).

fof(f2402,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2401,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f2360,f1868,f1861,f857,f860]) ).

fof(f2400,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2399]) ).

fof(f2399,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f2360,f1868,f1861,f857]) ).

fof(f2398,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2397]) ).

fof(f2397,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1612,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1612,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1552,f132]) ).

fof(f1552,plain,
    ( multiply(sk_c9,sk_c1) = inverse(multiply(sk_c9,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f134,f1402]) ).

fof(f2396,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

fof(f2395,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1611,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1611,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1610,f465]) ).

fof(f1610,plain,
    ( inverse(identity) = multiply(inverse(inverse(sk_c9)),sk_c1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1551,f132]) ).

fof(f1551,plain,
    ( multiply(inverse(inverse(sk_c9)),sk_c1) = inverse(multiply(sk_c9,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f505,f1402]) ).

fof(f2394,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2393]) ).

fof(f2393,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1502,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1502,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1450,f517]) ).

fof(f1450,plain,
    ( multiply(sk_c1,sk_c9) = inverse(multiply(sk_c1,sk_c9))
    | ~ spl0_1 ),
    inference(superposition,[],[f519,f1400]) ).

fof(f2392,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1387,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1387,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1251,f132]) ).

fof(f1251,plain,
    ( identity = inverse(multiply(sk_c9,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f134,f1054]) ).

fof(f2390,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2389]) ).

fof(f2389,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1386,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1386,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1250,f517]) ).

fof(f1250,plain,
    ( identity = inverse(multiply(sk_c1,sk_c9))
    | ~ spl0_1 ),
    inference(superposition,[],[f519,f1054]) ).

fof(f2388,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2387]) ).

fof(f2387,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1385,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1385,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1249,f465]) ).

fof(f1249,plain,
    ( identity = inverse(multiply(inverse(inverse(sk_c9)),sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f505,f1054]) ).

fof(f2386,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2385]) ).

fof(f2385,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1370,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1370,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1234,f132]) ).

fof(f1234,plain,
    ( identity = inverse(multiply(sk_c9,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f1054,f134]) ).

fof(f2384,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2383]) ).

fof(f2383,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1369,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1369,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1233,f517]) ).

fof(f1233,plain,
    ( identity = inverse(multiply(sk_c1,sk_c9))
    | ~ spl0_1 ),
    inference(superposition,[],[f1054,f519]) ).

fof(f2382,plain,
    ( ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2381]) ).

fof(f2381,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1368,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f1368,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1232,f465]) ).

fof(f1232,plain,
    ( identity = inverse(multiply(inverse(inverse(sk_c9)),sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f1054,f505]) ).

fof(f2380,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2379]) ).

fof(f2379,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f2360,f1868,f1861]) ).

fof(f2378,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2377]) ).

fof(f2377,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f920,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f2360,f1868]) ).

fof(f2376,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2375]) ).

fof(f2375,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1390,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f2360,f1868]) ).

fof(f2374,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2373]) ).

fof(f2373,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1389,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f2360,f1868]) ).

fof(f2372,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

fof(f2371,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1373,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f2360,f1868]) ).

fof(f2370,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f2369,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1372,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f2360,f1868]) ).

fof(f2368,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2367]) ).

fof(f2367,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f144,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f2360,f1868]) ).

fof(f2366,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2365]) ).

fof(f2365,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f2360,f1868]) ).

fof(f2364,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2363]) ).

fof(f2363,plain,
    ( $false
    | spl0_6
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1225,f1211,f1329,f1822,f1177,f1842,f1866,f1833,f547,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f1868,f2360]) ).

fof(f2362,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2361]) ).

fof(f2361,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1825,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390,f1389,f1373,f1372,f558,f144,f1868,f2360]) ).

fof(f1858,plain,
    ( identity = sk_c6
    | identity = inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1857,f588]) ).

fof(f1857,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | identity = inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1856,f558]) ).

fof(f1836,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | identity = sk_c6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1835,f552]) ).

fof(f1835,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1834,f588]) ).

fof(f1834,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f23,f558]) ).

fof(f2359,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2358]) ).

fof(f2358,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1825,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390,f1389,f1373,f1372,f558,f144,f1868]) ).

fof(f2357,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2356]) ).

fof(f2356,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390,f1389,f1373,f1372,f558,f144]) ).

fof(f2355,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2354]) ).

fof(f2354,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390,f1389,f1373,f1372,f558]) ).

fof(f2353,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2352]) ).

fof(f2352,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390,f1389,f1373,f1372]) ).

fof(f2351,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2350]) ).

fof(f2350,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1372,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390,f1389,f1373]) ).

fof(f2349,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2348]) ).

fof(f2348,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1373,f1372,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390,f1389]) ).

fof(f2347,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2346]) ).

fof(f2346,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920,f1390]) ).

fof(f2345,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2344]) ).

fof(f2344,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861,f920]) ).

fof(f2342,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2341]) ).

fof(f2341,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857,f1861]) ).

fof(f2338,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1368,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2336,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2335]) ).

fof(f2335,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1369,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2334,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2333]) ).

fof(f2333,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1370,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2332,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2331]) ).

fof(f2331,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1385,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2330,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2329]) ).

fof(f2329,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1386,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2328,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2327]) ).

fof(f2327,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1387,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2326,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2325]) ).

fof(f2325,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1502,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2324,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2323]) ).

fof(f2323,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1611,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2322,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2321]) ).

fof(f2321,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1612,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2320,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2319]) ).

fof(f2319,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860,f857]) ).

fof(f2318,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2317]) ).

fof(f2317,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f857,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921,f860]) ).

fof(f2316,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2315]) ).

fof(f2315,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f860,f857,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922,f921]) ).

fof(f2314,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2313]) ).

fof(f2313,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f921,f860,f857,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937,f922]) ).

fof(f2312,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2311]) ).

fof(f2311,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f922,f921,f860,f857,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938,f937]) ).

fof(f2310,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f937,f922,f921,f860,f857,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047,f938]) ).

fof(f2308,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2307]) ).

fof(f2307,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f938,f937,f922,f921,f860,f857,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838,f1047]) ).

fof(f2306,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2305]) ).

fof(f2305,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1047,f938,f937,f922,f921,f860,f857,f1836,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055,f1838]) ).

fof(f2304,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1047,f938,f937,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826,f1055]) ).

fof(f2302,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2301]) ).

fof(f2301,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f938,f937,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827,f1826]) ).

fof(f2300,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2299,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375,f1827]) ).

fof(f2298,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2297,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376,f1375]) ).

fof(f2296,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2295]) ).

fof(f2295,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392,f1376]) ).

fof(f2294,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2293]) ).

fof(f2293,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393,f1392]) ).

fof(f2292,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2291]) ).

fof(f2291,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284,f1393]) ).

fof(f2290,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2289]) ).

fof(f2289,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1432,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284]) ).

fof(f2288,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2287]) ).

fof(f2287,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f1534,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284]) ).

fof(f2286,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2285]) ).

fof(f2285,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856,f2284]) ).

fof(f2283,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2282]) ).

fof(f2282,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223,f1856]) ).

fof(f2281,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2280]) ).

fof(f2280,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227,f2223]) ).

fof(f2279,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2278]) ).

fof(f2278,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275,f2227]) ).

fof(f2277,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272,f2275]) ).

fof(f2274,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2273]) ).

fof(f2273,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242,f2272]) ).

fof(f2271,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2270]) ).

fof(f2270,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005,f2242]) ).

fof(f2269,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f548,f1005]) ).

fof(f2267,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2266]) ).

fof(f2266,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f1005,f548]) ).

fof(f2265,plain,
    ( spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2264]) ).

fof(f2264,plain,
    ( $false
    | spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(global_subsumption,[],[f2253,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f144,f490,f493,f491,f489,f500,f497,f509,f511,f328,f513,f554,f555,f559,f558,f499,f591,f592,f594,f595,f588,f600,f601,f589,f597,f590,f552,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1813,f1814,f1393,f1392,f1376,f1375,f1229,f1225,f1815,f1220,f1816,f1218,f1211,f1329,f1183,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1836,f1838,f1842,f1858,f1861,f1866,f1868,f1825,f1390,f1389,f1373,f1372,f1091,f1004,f997,f974,f936,f920,f1833,f2135,f1005,f548]) ).

fof(f2263,plain,
    ( ~ spl0_6
    | spl0_7
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2262]) ).

fof(f2262,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f140,f146,f148,f151,f155,f156,f158,f153,f157,f176,f182,f185,f188,f181,f193,f190,f196,f198,f62,f331,f388,f387,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f357,f496,f494,f508,f328,f513,f339,f567,f568,f570,f571,f564,f576,f577,f565,f573,f566,f506,f617,f619,f627,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1391,f1388,f1374,f1371,f2139,f143]) ).

fof(f627,plain,
    ( identity = sk_c7
    | sk_c9 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f19,f564]) ).

fof(f619,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f618,f1]) ).

fof(f618,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f506]) ).

fof(f617,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f506]) ).

fof(f573,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f148,f564]) ).

fof(f565,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f339,f357]) ).

fof(f577,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f575,f1]) ).

fof(f575,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f564]) ).

fof(f576,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f574,f140]) ).

fof(f574,plain,
    ( sk_c8 = multiply(inverse(sk_c2),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f564]) ).

fof(f571,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f339]) ).

fof(f570,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f357,f339]) ).

fof(f568,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f62,f339]) ).

fof(f567,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f339]) ).

fof(f508,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f507,f1]) ).

fof(f507,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f494]) ).

fof(f496,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f495,f1]) ).

fof(f495,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f357]) ).

fof(f388,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f355,f2]) ).

fof(f355,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f62,f185]) ).

fof(f198,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,multiply(sk_c2,X0))) = X0
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f197,f1]) ).

fof(f197,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c2,X0)))
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f195,f3]) ).

fof(f195,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c2),X0))
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f3,f190]) ).

fof(f196,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,multiply(sk_c7,sk_c2))
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f194,f181]) ).

fof(f194,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c7,multiply(sk_c7,sk_c2))
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f157,f190]) ).

fof(f190,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c2))
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f148,f181]) ).

fof(f193,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f192,f1]) ).

fof(f192,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c2,multiply(identity,X0))
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f191,f3]) ).

fof(f191,plain,
    ( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c2),X0)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f3,f181]) ).

fof(f181,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c2,identity)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f157,f146]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f3,f185]) ).

fof(f185,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f180,f155]) ).

fof(f180,plain,
    ( multiply(sk_c2,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f157,f156]) ).

fof(f182,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f148,f157]) ).

fof(f176,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f157,f148]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f3,f156]) ).

fof(f2261,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_7
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2260]) ).

fof(f2260,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2259,f2139]) ).

fof(f2259,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f241,f552]) ).

fof(f241,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f235,f156]) ).

fof(f235,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f234,f1]) ).

fof(f234,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f3,f230]) ).

fof(f230,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f229,f146]) ).

fof(f229,plain,
    ( multiply(sk_c8,sk_c2) = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f227,f153]) ).

fof(f227,plain,
    ( multiply(sk_c8,sk_c2) = multiply(sk_c1,multiply(sk_c9,identity))
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f153,f214]) ).

fof(f214,plain,
    ( multiply(sk_c9,identity) = multiply(sk_c9,sk_c2)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f164,f146]) ).

fof(f164,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f134,f153]) ).

fof(f2258,plain,
    ( ~ spl0_6
    | spl0_7
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2257]) ).

fof(f2257,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | spl0_15 ),
    inference(subsumption_resolution,[],[f387,f2139]) ).

fof(f2255,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_10
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2254]) ).

fof(f2254,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | ~ spl0_10
    | spl0_15 ),
    inference(global_subsumption,[],[f2253,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f140,f143,f146,f148,f151,f155,f156,f158,f153,f157,f176,f182,f185,f188,f181,f193,f190,f196,f198,f62,f331,f388,f387,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f357,f496,f494,f508,f328,f513,f339,f567,f568,f570,f571,f564,f576,f577,f565,f573,f566,f506,f617,f619,f627,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1391,f1388,f1374,f1371,f2139]) ).

fof(f2252,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2251]) ).

fof(f2251,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | ~ spl0_11
    | spl0_15 ),
    inference(global_subsumption,[],[f548,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f140,f143,f146,f148,f151,f155,f156,f158,f153,f157,f176,f182,f185,f188,f181,f193,f190,f196,f198,f62,f331,f388,f387,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f357,f496,f494,f508,f328,f513,f339,f567,f568,f570,f571,f564,f576,f577,f565,f573,f566,f506,f617,f619,f627,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1391,f1388,f1374,f1371,f2139]) ).

fof(f2250,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2249]) ).

fof(f2249,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | ~ spl0_11
    | spl0_15 ),
    inference(global_subsumption,[],[f1005,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f140,f143,f146,f148,f151,f155,f156,f158,f153,f157,f176,f182,f185,f188,f181,f193,f190,f196,f198,f62,f331,f388,f387,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f357,f496,f494,f508,f328,f513,f339,f567,f568,f570,f571,f564,f576,f577,f565,f573,f566,f506,f617,f619,f627,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1391,f1388,f1374,f1371,f2139]) ).

fof(f2247,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2246]) ).

fof(f2246,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f2245,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f140,f143,f146,f148,f151,f155,f156,f158,f153,f157,f176,f182,f185,f188,f181,f193,f190,f196,f198,f62,f331,f388,f387,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f357,f496,f494,f508,f328,f513,f339,f567,f568,f570,f571,f564,f576,f577,f565,f573,f566,f506,f617,f619,f627,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1391,f1388,f1374,f1371,f2139]) ).

fof(f2245,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2244,f2139]) ).

fof(f2244,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2243,f1]) ).

fof(f2243,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2242,f644]) ).

fof(f644,plain,
    ( identity = sk_c2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f637,f2]) ).

fof(f637,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f357,f552]) ).

fof(f2239,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2238]) ).

fof(f2238,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f2237,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f140,f143,f146,f148,f151,f155,f156,f158,f153,f157,f176,f182,f185,f188,f181,f193,f190,f196,f198,f62,f331,f388,f387,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f357,f496,f494,f508,f328,f513,f339,f567,f568,f570,f571,f564,f576,f577,f565,f573,f566,f506,f617,f619,f627,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1391,f1388,f1374,f1371,f2139]) ).

fof(f2237,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_6
    | ~ spl0_12
    | spl0_15 ),
    inference(forward_demodulation,[],[f2236,f552]) ).

fof(f2236,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_6
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2235,f2139]) ).

fof(f2235,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2234,f1]) ).

fof(f2234,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1839,f644]) ).

fof(f2232,plain,
    ( ~ spl0_6
    | spl0_11
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2231]) ).

fof(f2231,plain,
    ( $false
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12
    | spl0_15 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f140,f146,f148,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f357,f496,f494,f508,f328,f513,f339,f567,f568,f570,f571,f564,f576,f577,f565,f573,f566,f506,f617,f619,f627,f552,f634,f635,f643,f638,f639,f640,f645,f657,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857,f1838,f1842,f1861,f1866,f1872,f1873,f1874,f1875,f1876,f1877,f644,f2082,f2083,f2084,f1391,f1388,f1374,f1371,f2085,f2086,f653,f2087,f2088,f2089,f2090,f2095,f2098,f1918,f1833,f2194,f2139,f2226,f2230,f2197,f547]) ).

fof(f2197,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2194,f2139]) ).

fof(f2230,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2229,f2139]) ).

fof(f2229,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2228,f1]) ).

fof(f2228,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2227,f644]) ).

fof(f2226,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_6
    | ~ spl0_12
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2225,f2139]) ).

fof(f2225,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2224,f1]) ).

fof(f2224,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2223,f644]) ).

fof(f2194,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2193,f1]) ).

fof(f2193,plain,
    ( sk_c7 = multiply(identity,identity)
    | identity = multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1838,f644]) ).

fof(f1918,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1877,f644]) ).

fof(f2098,plain,
    ( identity = inverse(identity)
    | sk_c9 = inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2097,f552]) ).

fof(f2097,plain,
    ( sk_c8 = inverse(identity)
    | sk_c9 = inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f26,f644]) ).

fof(f2095,plain,
    ( identity = sk_c7
    | sk_c9 = inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2094,f1]) ).

fof(f2094,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c9 = inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2093,f644]) ).

fof(f2093,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | sk_c9 = inverse(sk_c3)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f19,f552]) ).

fof(f2090,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2089,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857]) ).

fof(f2089,plain,
    ( identity = inverse(identity)
    | identity = multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1861,f644]) ).

fof(f2088,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2087,f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f860,f857]) ).

fof(f2087,plain,
    ( identity = inverse(identity)
    | identity = multiply(sk_c3,sk_c9)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1866,f644]) ).

fof(f653,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f646,f552]) ).

fof(f646,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f140,f644]) ).

fof(f2086,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1875,f644]) ).

fof(f2085,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1876,f644]) ).

fof(f2084,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1872,f644]) ).

fof(f2083,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1873,f644]) ).

fof(f2082,plain,
    ( identity = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1874,f644]) ).

fof(f1877,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f140,f552]) ).

fof(f1876,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f919,f552]) ).

fof(f1875,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f935,f552]) ).

fof(f1874,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1006,f552]) ).

fof(f1873,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f808,f552]) ).

fof(f1872,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f811,f552]) ).

fof(f657,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f649,f552]) ).

fof(f649,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f494,f644]) ).

fof(f645,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f641,f1]) ).

fof(f641,plain,
    ( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f566,f552]) ).

fof(f640,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f564,f552]) ).

fof(f639,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f506,f552]) ).

fof(f638,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c2)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f494,f552]) ).

fof(f643,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f636,f328]) ).

fof(f636,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(identity),X0)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f339,f552]) ).

fof(f635,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f148,f552]) ).

fof(f634,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f146,f552]) ).

fof(f2214,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2213]) ).

fof(f2213,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2202,f2139]) ).

fof(f2202,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(superposition,[],[f888,f2198]) ).

fof(f2198,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(forward_demodulation,[],[f2197,f2136]) ).

fof(f2212,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2211]) ).

fof(f2211,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2201,f2139]) ).

fof(f2201,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(superposition,[],[f597,f2198]) ).

fof(f2210,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2200,f2139]) ).

fof(f2200,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(superposition,[],[f2198,f888]) ).

fof(f2208,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f2207]) ).

fof(f2207,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(subsumption_resolution,[],[f2199,f2139]) ).

fof(f2199,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_14
    | spl0_15 ),
    inference(superposition,[],[f2198,f597]) ).

fof(f2192,plain,
    ( spl0_9
    | spl0_9
    | spl0_8
    | spl0_13
    | spl0_8
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f2187,f2138,f550,f476,f1522,f476,f479,f479]) ).

fof(f479,plain,
    ( spl0_9
  <=> ! [X5] :
        ( identity != multiply(X5,sk_c9)
        | sk_c9 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1522,plain,
    ( spl0_13
  <=> ! [X8] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f476,plain,
    ( spl0_8
  <=> ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2187,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X8)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,X8)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2186,f2140]) ).

fof(f2186,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X8)
        | identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,X8)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X6) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2185,f2140]) ).

fof(f2185,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X6,identity)
        | identity != multiply(identity,X8)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2184,f2140]) ).

fof(f2184,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(identity,X8)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2183,f2140]) ).

fof(f2183,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(identity,X8)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f2182,f888]) ).

fof(f2182,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != multiply(X6,sk_c7)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X8)
        | sk_c7 != inverse(X6) )
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1833,f2140]) ).

fof(f2141,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1959,f550,f546,f142,f138,f2138,f2134]) ).

fof(f1959,plain,
    ( identity = sk_c7
    | identity = sk_c6
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1958,f1]) ).

fof(f1958,plain,
    ( sk_c7 = multiply(identity,identity)
    | identity = sk_c6
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1836,f644]) ).

fof(f2076,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2075]) ).

fof(f2075,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2074,f917]) ).

fof(f2074,plain,
    ( identity != inverse(inverse(identity))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2073,f669]) ).

fof(f669,plain,
    ( identity = sk_c7
    | spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f627,f40]) ).

fof(f40,plain,
    ( sk_c9 != inverse(sk_c3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl0_2
  <=> sk_c9 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2073,plain,
    ( identity != inverse(inverse(sk_c7))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2072,f679]) ).

fof(f679,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f672,f2]) ).

fof(f672,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f491,f669]) ).

fof(f2072,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2026,f589]) ).

fof(f2026,plain,
    ( identity != multiply(sk_c4,identity)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f499]) ).

fof(f477,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f2068,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f2067]) ).

fof(f2067,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2066,f917]) ).

fof(f2066,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2029,f917]) ).

fof(f2029,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2024]) ).

fof(f2024,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f813]) ).

fof(f2062,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f2061]) ).

fof(f2061,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2030,f917]) ).

fof(f2030,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2022]) ).

fof(f2022,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f328]) ).

fof(f2060,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f2059]) ).

fof(f2059,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2031,f917]) ).

fof(f2031,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2021]) ).

fof(f2021,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f2]) ).

fof(f2058,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2057]) ).

fof(f2057,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2032,f1914]) ).

fof(f1914,plain,
    ( identity = inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1853,f644]) ).

fof(f1853,plain,
    ( identity = inverse(sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1852,f552]) ).

fof(f1852,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f26,f40]) ).

fof(f2032,plain,
    ( identity != inverse(identity)
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f2020]) ).

fof(f2020,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f1]) ).

fof(f2056,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2055]) ).

fof(f2055,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2054,f1914]) ).

fof(f2054,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2053,f669]) ).

fof(f2053,plain,
    ( identity != inverse(sk_c7)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2019,f669]) ).

fof(f2019,plain,
    ( identity != sk_c7
    | identity != inverse(sk_c7)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f597]) ).

fof(f2052,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2051]) ).

fof(f2051,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2050,f1914]) ).

fof(f2050,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2049,f679]) ).

fof(f2049,plain,
    ( identity != inverse(sk_c4)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2018,f679]) ).

fof(f2018,plain,
    ( identity != sk_c4
    | identity != inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f589]) ).

fof(f2046,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2045,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2044,f917]) ).

fof(f2044,plain,
    ( identity != inverse(inverse(identity))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2043,f669]) ).

fof(f2043,plain,
    ( identity != inverse(inverse(sk_c7))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2015,f679]) ).

fof(f2015,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f477,f491]) ).

fof(f1996,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1995]) ).

fof(f1995,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1994,f917]) ).

fof(f1994,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1968,f517]) ).

fof(f1968,plain,
    ( identity != multiply(sk_c1,sk_c9)
    | sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f480,f337]) ).

fof(f480,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c9)
        | sk_c9 != inverse(X5) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f1993,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1992]) ).

fof(f1992,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1991,f917]) ).

fof(f1991,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1972,f917]) ).

fof(f1972,plain,
    ( sk_c9 != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1967]) ).

fof(f1967,plain,
    ( identity != identity
    | sk_c9 != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_9 ),
    inference(superposition,[],[f480,f813]) ).

fof(f1987,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1986]) ).

fof(f1986,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1973,f917]) ).

fof(f1973,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1964]) ).

fof(f1964,plain,
    ( identity != identity
    | sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_9 ),
    inference(superposition,[],[f480,f2]) ).

fof(f1980,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1979]) ).

fof(f1979,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1978,f917]) ).

fof(f1978,plain,
    ( sk_c9 != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1974,f917]) ).

fof(f1974,plain,
    ( sk_c9 != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1961]) ).

fof(f1961,plain,
    ( identity != identity
    | sk_c9 != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f480,f728]) ).

fof(f728,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c9))),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f724]) ).

fof(f1977,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1976]) ).

fof(f1976,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1975,f37]) ).

fof(f1975,plain,
    ( sk_c9 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1960]) ).

fof(f1960,plain,
    ( identity != identity
    | sk_c9 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f480,f517]) ).

fof(f1870,plain,
    ( spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1869]) ).

fof(f1869,plain,
    ( $false
    | spl0_2
    | spl0_6
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f40,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f1833,f860,f857,f1838,f1842,f1853,f1855,f1861,f1862,f1866,f1867,f1868]) ).

fof(f1867,plain,
    ( identity = inverse(sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f40,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f1833,f860,f857,f1838,f1842,f1853,f1855,f1861,f1862,f1866]) ).

fof(f1862,plain,
    ( identity = inverse(sk_c2)
    | spl0_2
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f28,f62,f331,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f328,f513,f552,f40,f329,f821,f813,f858,f863,f344,f897,f898,f903,f905,f888,f977,f933,f1000,f917,f1026,f1027,f884,f1095,f1071,f890,f1136,f1152,f1054,f1185,f1231,f1384,f1419,f1421,f1423,f1424,f1393,f1392,f1376,f1375,f1225,f1211,f1329,f1822,f1177,f1055,f1047,f1826,f938,f937,f1827,f922,f921,f1833,f860,f857,f1838,f1842,f1853,f1855,f1861]) ).

fof(f1855,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1854,f552]) ).

fof(f1854,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f19,f40]) ).

fof(f1797,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f1796]) ).

fof(f1796,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1786,f917]) ).

fof(f1786,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1783]) ).

fof(f1783,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(superposition,[],[f1523,f884]) ).

fof(f1523,plain,
    ( ! [X8] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X8) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1522]) ).

fof(f1795,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1794]) ).

fof(f1794,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1793,f653]) ).

fof(f1793,plain,
    ( identity != inverse(identity)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1792,f884]) ).

fof(f1792,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(X0)))
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1787,f1]) ).

fof(f1787,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1782]) ).

fof(f1782,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_13 ),
    inference(superposition,[],[f1523,f1054]) ).

fof(f1790,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1789]) ).

fof(f1789,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1788,f653]) ).

fof(f1788,plain,
    ( identity != inverse(identity)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1780]) ).

fof(f1780,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f1523,f888]) ).

fof(f1524,plain,
    ( spl0_8
    | spl0_9
    | spl0_9
    | spl0_8
    | spl0_13
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1097,f550,f138,f39,f1522,f476,f479,f479,f476]) ).

fof(f1097,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(identity,X8)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f876,f888]) ).

fof(f876,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f875,f552]) ).

fof(f875,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(identity,multiply(X8,identity))
        | identity != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f874,f669]) ).

fof(f874,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f873,f552]) ).

fof(f873,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f872,f669]) ).

fof(f872,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f871,f552]) ).

fof(f871,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f870,f552]) ).

fof(f870,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f869,f669]) ).

fof(f869,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f868,f552]) ).

fof(f868,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f867,f552]) ).

fof(f867,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f866,f669]) ).

fof(f866,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f33,f669]) ).

fof(f631,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f630]) ).

fof(f630,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f26,f19,f5,f1,f2,f12,f3,f30,f29,f27,f25,f16,f15,f13,f11,f31,f17,f14,f37,f132,f134,f28,f62,f329,f331,f344,f345,f467,f33,f23,f22,f20,f18,f9,f8,f6,f4,f24,f21,f10,f7,f465,f505,f328,f513,f337,f520,f521,f523,f524,f517,f529,f530,f518,f526,f519,f544,f551,f503,f614,f616,f626,f629,f40]) ).

fof(f629,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl0_1
    | spl0_12 ),
    inference(subsumption_resolution,[],[f628,f551]) ).

fof(f628,plain,
    ( identity = sk_c8
    | sk_c9 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f5,f517]) ).

fof(f626,plain,
    ( sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl0_1
    | spl0_12 ),
    inference(subsumption_resolution,[],[f625,f551]) ).

fof(f625,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c3,sk_c9)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f4,f517]) ).

fof(f616,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c9))),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f615,f1]) ).

fof(f615,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c9))),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f503]) ).

fof(f614,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c9)))),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f503]) ).

fof(f503,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c9))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f465]) ).

fof(f544,plain,
    ( identity = sk_c8
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f10,f517]) ).

fof(f526,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f134,f517]) ).

fof(f530,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f528,f1]) ).

fof(f528,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c9,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f517]) ).

fof(f529,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f527,f37]) ).

fof(f527,plain,
    ( sk_c9 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f517]) ).

fof(f524,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f337]) ).

fof(f523,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f345,f337]) ).

fof(f521,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c9)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f337]) ).

fof(f520,plain,
    ( identity = multiply(sk_c1,sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f337]) ).

fof(f467,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f466,f1]) ).

fof(f466,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f345]) ).

fof(f624,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f623]) ).

fof(f623,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(subsumption_resolution,[],[f622,f551]) ).

fof(f622,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f621,f517]) ).

fof(f621,plain,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f620]) ).

fof(f620,plain,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | multiply(sk_c1,sk_c9) = sk_c8
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4,f485]) ).

fof(f485,plain,
    ( sk_c1 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f352,f345]) ).

fof(f352,plain,
    ( sk_c3 = multiply(inverse(sk_c9),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f43]) ).

fof(f43,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f41]) ).

fof(f41,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f553,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f544,f35,f550,f546]) ).

fof(f484,plain,
    ( spl0_8
    | spl0_9
    | spl0_9
    | spl0_8
    | spl0_10
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f452,f142,f138,f35,f482,f476,f479,f479,f476]) ).

fof(f452,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f451,f379]) ).

fof(f379,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_7 ),
    inference(forward_demodulation,[],[f348,f2]) ).

fof(f348,plain,
    ( sk_c8 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f62,f152]) ).

fof(f152,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f134,f151]) ).

fof(f451,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(sk_c8,multiply(X8,sk_c8))
        | identity != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f450,f241]) ).

fof(f450,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f449,f379]) ).

fof(f449,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f448,f241]) ).

fof(f448,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X3,sk_c9)
        | identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f447,f379]) ).

fof(f447,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X5,sk_c9)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f446,f379]) ).

fof(f446,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f445,f379]) ).

fof(f445,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f444,f241]) ).

fof(f444,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c7 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f443,f379]) ).

fof(f443,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f442,f379]) ).

fof(f442,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f441,f379]) ).

fof(f441,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != inverse(X6)
        | identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f440,f241]) ).

fof(f440,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( identity != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f439,f379]) ).

fof(f439,plain,
    ( ! [X3,X8,X6,X4,X5] :
        ( sk_c8 != inverse(X8)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c9)
        | sk_c8 != multiply(X3,sk_c9)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f33,f241]) ).

fof(f145,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f28,f142,f138]) ).

fof(f131,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_4
    | spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f94,f35,f129,f126,f126,f123,f123]) ).

fof(f123,plain,
    ( spl0_3
  <=> ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f126,plain,
    ( spl0_4
  <=> ! [X4] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f129,plain,
    ( spl0_5
  <=> ! [X8] :
        ( sk_c8 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f42,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f39,f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP265-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 04:58:25 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (30057)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (30060)WARNING: value z3 for option sas not known
% 0.17/0.34  % (30058)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34  % (30062)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)
% 0.17/0.34  % (30063)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)
% 0.17/0.34  % (30061)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.34  % (30059)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.34  % (30064)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)
% 0.17/0.34  % (30060)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)
% 0.17/0.34  TRYING [1]
% 0.17/0.34  TRYING [2]
% 0.17/0.34  TRYING [3]
% 0.17/0.34  TRYING [1]
% 0.17/0.34  TRYING [2]
% 0.17/0.35  TRYING [3]
% 0.17/0.35  TRYING [4]
% 0.17/0.37  TRYING [5]
% 0.17/0.37  TRYING [4]
% 0.17/0.41  TRYING [6]
% 0.17/0.42  % (30060)First to succeed.
% 0.17/0.44  % (30060)Refutation found. Thanks to Tanya!
% 0.17/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.45  % (30060)------------------------------
% 0.17/0.45  % (30060)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.45  % (30060)Termination reason: Refutation
% 0.17/0.45  
% 0.17/0.45  % (30060)Memory used [KB]: 1915
% 0.17/0.45  % (30060)Time elapsed: 0.101 s
% 0.17/0.45  % (30060)Instructions burned: 213 (million)
% 0.17/0.45  % (30060)------------------------------
% 0.17/0.45  % (30060)------------------------------
% 0.17/0.45  % (30057)Success in time 0.122 s
%------------------------------------------------------------------------------