%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP286-1 : 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 : n006.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 11:57:36 EDT 2024

% Result   : Unsatisfiable 0.22s 0.49s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   47
% Syntax   : Number of formulae    : 1353 ( 129 unt;   0 def)
%            Number of atoms       : 4759 (1654 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives : 6004 (2598   ~;3393   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   15 (  13 usr;  14 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  610 ( 610   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3172,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f209,f223,f681,f692,f799,f983,f986,f989,f991,f993,f996,f998,f1000,f1002,f1004,f1040,f1248,f1271,f1288,f1333,f1355,f1534,f2202,f2213,f2217,f2219,f2249,f2254,f2260,f2265,f2269,f2273,f2275,f2277,f2279,f2285,f2288,f2294,f2310,f2317,f2324,f2328,f2333,f2343,f2364,f2366,f2370,f2378,f2383,f2387,f2392,f2395,f2399,f2402,f2405,f2416,f2420,f2425,f2428,f2430,f2432,f2434,f2436,f2438,f2440,f2442,f2444,f2447,f2449,f2451,f2453,f2455,f2457,f2459,f2461,f2463,f2465,f2467,f2469,f2471,f2490,f2492,f2494,f2496,f2498,f2500,f2502,f2504,f2506,f2508,f2511,f2513,f2515,f2518,f2521,f2524,f2528,f2530,f2532,f2534,f2536,f2541,f2545,f2548,f2551,f2555,f2557,f2560,f2563,f2567,f2570,f2572,f2574,f2576,f2578,f2580,f2582,f2584,f2586,f2588,f2590,f2592,f2594,f2598,f2601,f2603,f2605,f2609,f2611,f2613,f2615,f2618,f2620,f2622,f2624,f2627,f2629,f2631,f2634,f2636,f2638,f2640,f2642,f2644,f2646,f2648,f2650,f2653,f2655,f2657,f2659,f2661,f2663,f2666,f2668,f2670,f2672,f2674,f2676,f2678,f2680,f2860,f2863,f2947,f2951,f2955,f2959,f2962,f2966,f2970,f2975,f2982,f2989,f2994,f2999,f3003,f3010,f3016,f3021,f3027,f3035,f3040,f3047,f3050,f3054,f3056,f3058,f3061,f3064,f3066,f3069,f3073,f3077,f3079,f3081,f3084,f3087,f3091,f3095,f3098,f3171]) ).

fof(f3171,plain,
    ( spl0_13
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f3048,f679,f2200]) ).

fof(f2200,plain,
    ( spl0_13
  <=> ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f679,plain,
    ( spl0_8
  <=> ! [X7] :
        ( identity != inverse(X7)
        | identity != multiply(identity,multiply(X7,identity)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3048,plain,
    ( ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f680,f1567]) ).

fof(f1567,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f507,f493]) ).

fof(f493,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f59,f2]) ).

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

fof(f59,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f52,f1]) ).

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

fof(f52,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

fof(f507,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f59,f59]) ).

fof(f680,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | identity != multiply(identity,multiply(X7,identity)) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f3098,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3097]) ).

fof(f3097,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3096,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f43,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f2176,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1567,f2082]) ).

fof(f2170,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2082,f1567]) ).

fof(f2509,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2162,f2]) ).

fof(f2162,plain,
    ! [X0] : multiply(inverse(X0),X0) = inverse(identity),
    inference(superposition,[],[f2082,f492]) ).

fof(f2519,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2059,f1592]) ).

fof(f2059,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f2003,f493]) ).

fof(f2056,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f2003,f1567]) ).

fof(f2092,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2050,f1564]) ).

fof(f2050,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2003,f492]) ).

fof(f1958,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f492,f1912]) ).

fof(f1951,plain,
    ! [X0] : inverse(X0) = inverse(multiply(X0,inverse(identity))),
    inference(superposition,[],[f1912,f492]) ).

fof(f1941,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f1912,f1564]) ).

fof(f2561,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f1939,f1912]) ).

fof(f1939,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f1912,f1671]) ).

fof(f2565,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f2564,f1592]) ).

fof(f2564,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f1922,f1592]) ).

fof(f1922,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1912,f1481]) ).

fof(f2568,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1919,f1592]) ).

fof(f1919,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1912,f2]) ).

fof(f1970,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1918,f1564]) ).

fof(f1918,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f1912,f1]) ).

fof(f1894,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1807,f1564]) ).

fof(f1807,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1569,f1671]) ).

fof(f1893,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1806,f2]) ).

fof(f1806,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f59,f1671]) ).

fof(f1883,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1796,f1564]) ).

fof(f1796,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1671,f1569]) ).

fof(f1882,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1795,f2]) ).

fof(f1795,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f1671,f59]) ).

fof(f1787,plain,
    ! [X0] : identity = multiply(X0,inverse(multiply(X0,inverse(identity)))),
    inference(superposition,[],[f1671,f492]) ).

fof(f1778,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f1671,f1564]) ).

fof(f1855,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f1776,f3]) ).

fof(f1776,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f1671,f1671]) ).

fof(f2616,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f1759,f1592]) ).

fof(f1759,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1671,f1481]) ).

fof(f1756,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f1671,f2]) ).

fof(f1672,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f1564]) ).

fof(f1666,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1564,f1]) ).

fof(f2625,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1610,f1592]) ).

fof(f1610,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f1481,f1567]) ).

fof(f1608,plain,
    identity = inverse(identity),
    inference(superposition,[],[f492,f1567]) ).

fof(f1607,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f1567]) ).

fof(f2632,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f1598,f1592]) ).

fof(f1598,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f1567,f1481]) ).

fof(f1596,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1567,f492]) ).

fof(f1595,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1567,f2]) ).

fof(f1525,plain,
    identity = inverse(identity),
    inference(superposition,[],[f493,f1481]) ).

fof(f1522,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1481,f493]) ).

fof(f25,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

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

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

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

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

fof(f2174,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f2082]) ).

fof(f2173,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f59,f2082]) ).

fof(f2172,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1671,f2082]) ).

fof(f2171,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1912,f2082]) ).

fof(f2168,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f2082,f3]) ).

fof(f2082,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f2003,f1592]) ).

fof(f2090,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f2003]) ).

fof(f2089,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f59,f2003]) ).

fof(f2088,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f1671,f2003]) ).

fof(f2087,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1912,f2003]) ).

fof(f2068,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f2003,f1569]) ).

fof(f2055,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f2003,f3]) ).

fof(f2003,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1937,f1592]) ).

fof(f1937,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1912,f59]) ).

fof(f1969,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1912]) ).

fof(f1968,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1569,f1912]) ).

fof(f1966,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1912]) ).

fof(f1965,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f59,f1912]) ).

fof(f2046,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1964,f1592]) ).

fof(f1964,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f1671,f1912]) ).

fof(f1955,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1912,f3]) ).

fof(f2008,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1942,f1592]) ).

fof(f1942,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1912,f1912]) ).

fof(f1938,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1912,f1569]) ).

fof(f1925,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1912,f3]) ).

fof(f1912,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1815,f1567]) ).

fof(f1815,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f59,f1671]) ).

fof(f1917,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1819,f3]) ).

fof(f1819,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f1671]) ).

fof(f1916,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1818,f1567]) ).

fof(f1818,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f1569,f1671]) ).

fof(f1914,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1913,f3]) ).

fof(f1913,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1816,f1]) ).

fof(f1816,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f1671]) ).

fof(f1889,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1802,f3]) ).

fof(f1802,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f1671,f3]) ).

fof(f1791,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f1671,f3]) ).

fof(f1762,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f1671,f3]) ).

fof(f1671,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f1564,f3]) ).

fof(f1734,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f1569]) ).

fof(f1724,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f1569,f3]) ).

fof(f1569,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f507,f59]) ).

fof(f1682,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f1564]) ).

fof(f1694,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1680,f1]) ).

fof(f1680,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f1564]) ).

fof(f1564,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f507,f2]) ).

fof(f1659,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f1592]) ).

fof(f1658,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f59,f1592]) ).

fof(f1592,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f1567,f493]) ).

fof(f1638,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1617,f1567]) ).

fof(f1617,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f507,f1567]) ).

fof(f1604,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f493,f1567]) ).

fof(f1628,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f1600,f1567]) ).

fof(f1600,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f1567,f507]) ).

fof(f1581,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f59,f507]) ).

fof(f1579,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f493,f507]) ).

fof(f1575,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f59,f507]) ).

fof(f1574,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f507]) ).

fof(f1531,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f1524,f1]) ).

fof(f1524,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f1481]) ).

fof(f1523,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f59,f1481]) ).

fof(f1481,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f59,f493]) ).

fof(f1484,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f1482,f1]) ).

fof(f1482,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f493]) ).

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

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

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

fof(f738,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f59,f492]) ).

fof(f492,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f59,f1]) ).

fof(f717,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f716,f1]) ).

fof(f716,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f702]) ).

fof(f715,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f702]) ).

fof(f702,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f699]) ).

fof(f704,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f703,f1]) ).

fof(f703,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f699]) ).

fof(f699,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f698,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f43]) ).

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

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

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

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

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

fof(f26,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f697,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f43,f45,f3,f62,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f59,f493,f496,f507,f492,f26,f25,f23,f22,f21,f693,f16,f694,f17,f695,f19,f696,f20]) ).

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

fof(f696,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f43,f45,f3,f62,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f59,f493,f496,f507,f492,f26,f25,f23,f22,f20,f21,f693,f16,f694,f17,f695,f19]) ).

fof(f695,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f43,f45,f3,f62,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f59,f493,f496,f507,f492,f26,f25,f23,f22,f20,f19,f21,f693,f16,f694,f17]) ).

fof(f694,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f43,f45,f3,f62,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f59,f493,f496,f507,f492,f26,f25,f23,f22,f20,f19,f17,f21,f693,f16]) ).

fof(f693,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f43,f45,f3,f62,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f59,f493,f496,f507,f492,f26,f25,f23,f22,f20,f19,f17,f16,f21]) ).

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

fof(f690,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f21,f221]) ).

fof(f689,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f1,f2,f18,f3,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25,f683,f23,f684,f22,f685,f245,f230,f237,f20,f686,f19,f687,f17,f688,f16]) ).

fof(f688,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f16,f1,f2,f18,f3,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25,f683,f23,f684,f22,f685,f245,f230,f237,f20,f686,f19,f687,f17]) ).

fof(f687,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f16,f17,f1,f2,f18,f3,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25,f683,f23,f684,f22,f685,f245,f230,f237,f20,f686,f19]) ).

fof(f686,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f16,f17,f19,f1,f2,f18,f3,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25,f683,f23,f684,f22,f685,f245,f230,f237,f20]) ).

fof(f237,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f27,f221]) ).

fof(f230,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_6 ),
    inference(superposition,[],[f3,f229]) ).

fof(f245,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f233,f229]) ).

fof(f685,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f20,f16,f17,f19,f1,f2,f18,f3,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f230,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25,f683,f23,f684,f22]) ).

fof(f684,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f20,f16,f17,f19,f1,f2,f18,f3,f35,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f230,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25,f683,f23]) ).

fof(f683,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f20,f16,f17,f19,f1,f2,f18,f3,f35,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f230,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25]) ).

fof(f682,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f20,f16,f17,f19,f1,f2,f18,f3,f35,f25,f23,f22,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f230,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26]) ).

fof(f505,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c1),multiply(sk_c7,X0))
    | spl0_6 ),
    inference(superposition,[],[f59,f233]) ).

fof(f510,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c7)
    | spl0_6 ),
    inference(superposition,[],[f59,f231]) ).

fof(f514,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f59,f229]) ).

fof(f567,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f35,f229]) ).

fof(f554,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f553,f2]) ).

fof(f553,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f514,f234]) ).

fof(f556,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f516,f2]) ).

fof(f516,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f59,f251]) ).

fof(f552,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f513,f2]) ).

fof(f513,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f59,f232]) ).

fof(f496,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f59,f3]) ).

fof(f305,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f302,f233]) ).

fof(f302,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f233,f242]) ).

fof(f242,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f230,f234]) ).

fof(f240,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f3,f238]) ).

fof(f263,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,multiply(sk_c1,X0))) = X0
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f262,f1]) ).

fof(f262,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c1,X0)))
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f260,f3]) ).

fof(f260,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c1),X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f3,f255]) ).

fof(f261,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c7,multiply(sk_c7,sk_c1))
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f259,f246]) ).

fof(f259,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,multiply(sk_c7,sk_c1))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f233,f255]) ).

fof(f255,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c1))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f62,f246]) ).

fof(f258,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f257,f1]) ).

fof(f257,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f256,f3]) ).

fof(f256,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c1),X0)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f3,f246]) ).

fof(f246,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f233,f45]) ).

fof(f254,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f3,f251]) ).

fof(f251,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f250,f231]) ).

fof(f250,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f245,f234]) ).

fof(f247,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f62,f233]) ).

fof(f249,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f244,f231]) ).

fof(f244,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f233,f232]) ).

fof(f243,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f233,f62]) ).

fof(f233,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_6 ),
    inference(superposition,[],[f3,f231]) ).

fof(f238,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f237,f234]) ).

fof(f234,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f232,f229]) ).

fof(f236,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f3,f232]) ).

fof(f235,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f229,f232]) ).

fof(f232,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f62,f231]) ).

fof(f231,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f15,f221]) ).

fof(f229,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_6 ),
    inference(subsumption_resolution,[],[f9,f221]) ).

fof(f221,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

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

fof(f62,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f57,f1]) ).

fof(f57,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f45,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

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

fof(f3096,plain,
    ( identity != inverse(sk_c4)
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f221,f1035]) ).

fof(f1035,plain,
    ( identity = sk_c8
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1033,plain,
    ( spl0_11
  <=> identity = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f3095,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3094]) ).

fof(f3094,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3093,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3093,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3092,f1035]) ).

fof(f3092,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f686,f1381]) ).

fof(f1381,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1364,f2]) ).

fof(f1364,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f702,f1035]) ).

fof(f3091,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3090]) ).

fof(f3090,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3089,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3089,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3088,f1035]) ).

fof(f3088,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f687,f1381]) ).

fof(f3087,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3086]) ).

fof(f3086,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3085,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3085,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f364,f1035]) ).

fof(f364,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f361,f328]) ).

fof(f328,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f324,f239]) ).

fof(f239,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f226,f238]) ).

fof(f226,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f225,f1]) ).

fof(f225,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f224]) ).

fof(f224,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f218]) ).

fof(f218,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f323,f1]) ).

fof(f323,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f319]) ).

fof(f319,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f318,f224]) ).

fof(f318,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f316,f233]) ).

fof(f316,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c1,multiply(sk_c8,identity))
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f233,f299]) ).

fof(f299,plain,
    ( multiply(sk_c8,sk_c2) = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f242,f224]) ).

fof(f361,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f39,f329]) ).

fof(f329,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f324,f210]) ).

fof(f210,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3084,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3083]) ).

fof(f3083,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3082,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3082,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f234,f1035]) ).

fof(f3081,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3080]) ).

fof(f3080,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f559,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f559,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f518,f59]) ).

fof(f518,plain,
    ( sk_c3 = multiply(inverse(sk_c8),multiply(sk_c8,identity))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f59,f298]) ).

fof(f298,plain,
    ( multiply(sk_c8,identity) = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f242,f210]) ).

fof(f3079,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3078]) ).

fof(f3078,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f601,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f601,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f583,f382]) ).

fof(f382,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f327,f329]) ).

fof(f327,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f324,f279]) ).

fof(f279,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,sk_c3))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f226,f268]) ).

fof(f268,plain,
    ( multiply(sk_c8,sk_c3) = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f240,f210]) ).

fof(f583,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f229,f554]) ).

fof(f3077,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3076]) ).

fof(f3076,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3075,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3075,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3074,f1035]) ).

fof(f3074,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f688,f1381]) ).

fof(f3073,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3072]) ).

fof(f3072,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3071,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3071,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3070,f1035]) ).

fof(f3070,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f689,f1381]) ).

fof(f3069,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3068]) ).

fof(f3068,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3067,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3067,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f429,f1035]) ).

fof(f429,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f43,f399]) ).

fof(f399,plain,
    ( identity = sk_c1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f354,f45]) ).

fof(f354,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f324,f328]) ).

fof(f3066,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3065]) ).

fof(f3065,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_12 ),
    inference(subsumption_resolution,[],[f554,f1038]) ).

fof(f3064,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3063]) ).

fof(f3063,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3062,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3062,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f372,f1035]) ).

fof(f372,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f365,f328]) ).

fof(f365,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f218,f330]) ).

fof(f330,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f324,f224]) ).

fof(f3061,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3060]) ).

fof(f3060,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3059,f1038]) ).

fof(f3059,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f328,f1035]) ).

fof(f3058,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3057]) ).

fof(f3057,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f329,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3056,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3055]) ).

fof(f3055,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f330,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3054,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3053]) ).

fof(f3053,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3052,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3052,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3051,f1035]) ).

fof(f3051,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f690,f1381]) ).

fof(f3050,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3049]) ).

fof(f3049,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8
    | spl0_12 ),
    inference(global_subsumption,[],[f3048,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3047,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3046]) ).

fof(f3046,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3045,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3045,plain,
    ( identity = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3044,f1038]) ).

fof(f3044,plain,
    ( identity = sk_c7
    | identity = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3043,f1]) ).

fof(f3043,plain,
    ( sk_c7 = multiply(identity,identity)
    | identity = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3042,f1381]) ).

fof(f3042,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | identity = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3041,f1035]) ).

fof(f3041,plain,
    ( identity = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f15,f1035]) ).

fof(f3040,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3039]) ).

fof(f3039,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3038,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3038,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | identity = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3037,f2880]) ).

fof(f2880,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1373,f1567]) ).

fof(f1373,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f798,f1035]) ).

fof(f798,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f796,plain,
    ( spl0_10
  <=> sk_c6 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3037,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | identity = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3036,f711]) ).

fof(f711,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f520,f517]) ).

fof(f517,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f210]) ).

fof(f520,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f224]) ).

fof(f3036,plain,
    ( identity = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f27,f1035]) ).

fof(f3035,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3034]) ).

fof(f3034,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3033,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3033,plain,
    ( sk_c5 = sk_c4
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f3032,f1038]) ).

fof(f3032,plain,
    ( identity = sk_c7
    | sk_c5 = sk_c4
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3031,f1]) ).

fof(f3031,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c5 = sk_c4
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3030,f1381]) ).

fof(f3030,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | sk_c5 = sk_c4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3029,f1035]) ).

fof(f3029,plain,
    ( sk_c5 = sk_c4
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3028,f1567]) ).

fof(f3028,plain,
    ( sk_c5 = multiply(sk_c4,identity)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f14,f1035]) ).

fof(f3027,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3026]) ).

fof(f3026,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3025,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3025,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c5 = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3024,f2880]) ).

fof(f3024,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c5 = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3023,f711]) ).

fof(f3023,plain,
    ( sk_c5 = sk_c4
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3022,f1567]) ).

fof(f3022,plain,
    ( sk_c5 = multiply(sk_c4,identity)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f26,f1035]) ).

fof(f3021,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3020]) ).

fof(f3020,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3019,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3019,plain,
    ( identity = inverse(identity)
    | identity = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3018,f1035]) ).

fof(f3018,plain,
    ( sk_c8 = inverse(identity)
    | identity = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3017,f1381]) ).

fof(f3017,plain,
    ( identity = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f21,f1035]) ).

fof(f3016,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3015]) ).

fof(f3015,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3014,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3014,plain,
    ( sk_c5 = multiply(sk_c4,identity)
    | identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3013,f1035]) ).

fof(f3013,plain,
    ( identity = inverse(identity)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3012,f1035]) ).

fof(f3012,plain,
    ( sk_c8 = inverse(identity)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f1381]) ).

fof(f3010,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3009]) ).

fof(f3009,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3008,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3008,plain,
    ( identity = inverse(identity)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3007,f1035]) ).

fof(f3007,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3006,f1564]) ).

fof(f3006,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2735,f2880]) ).

fof(f2735,plain,
    ( inverse(sk_c8) = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_9 ),
    inference(superposition,[],[f1912,f794]) ).

fof(f794,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f792,plain,
    ( spl0_9
  <=> multiply(sk_c8,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3003,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f3002]) ).

fof(f3002,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f3001,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f3001,plain,
    ( sk_c7 = multiply(sk_c7,inverse(identity))
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3000,f2880]) ).

fof(f3000,plain,
    ( sk_c7 = multiply(sk_c6,inverse(identity))
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2753,f1035]) ).

fof(f2753,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c8))
    | ~ spl0_10 ),
    inference(superposition,[],[f2003,f798]) ).

fof(f2999,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2998]) ).

fof(f2998,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2997,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2997,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2996,f1035]) ).

fof(f2996,plain,
    ( identity = inverse(identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2995,f1035]) ).

fof(f2995,plain,
    ( sk_c8 = inverse(identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f17,f1381]) ).

fof(f2994,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2993]) ).

fof(f2993,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2992,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2992,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2991,f1035]) ).

fof(f2991,plain,
    ( identity = inverse(identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2990,f1035]) ).

fof(f2990,plain,
    ( sk_c8 = inverse(identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f1381]) ).

fof(f2989,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2988]) ).

fof(f2988,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2987,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2987,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f2986,f1035]) ).

fof(f2986,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2985,f1038]) ).

fof(f2985,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2984,f1]) ).

fof(f2984,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2983,f1381]) ).

fof(f2983,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f1035]) ).

fof(f2982,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2981]) ).

fof(f2981,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2980,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2980,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2979,f1038]) ).

fof(f2979,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2978,f1]) ).

fof(f2978,plain,
    ( sk_c7 = multiply(identity,identity)
    | identity = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2977,f1381]) ).

fof(f2977,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | identity = multiply(sk_c3,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2976,f1035]) ).

fof(f2976,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f11,f1035]) ).

fof(f2975,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2974]) ).

fof(f2974,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2973,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2973,plain,
    ( sk_c7 = sk_c5
    | sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2972,f1]) ).

fof(f2972,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2971,f1035]) ).

fof(f2971,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2872,f2880]) ).

fof(f2872,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f25,f711]) ).

fof(f2970,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2969]) ).

fof(f2969,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2968,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2968,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2967,f1035]) ).

fof(f2967,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2874,f2880]) ).

fof(f2874,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f23,f711]) ).

fof(f2966,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2965]) ).

fof(f2965,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2964,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2964,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2963,f1381]) ).

fof(f2963,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1642,f1035]) ).

fof(f1642,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1592,f43]) ).

fof(f2962,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2961]) ).

fof(f2961,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2960,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2960,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1410,f1035]) ).

fof(f1410,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f43,f1381]) ).

fof(f2959,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2958]) ).

fof(f2958,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2957,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2957,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2956,f1381]) ).

fof(f2956,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1606,f1035]) ).

fof(f1606,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f702,f1567]) ).

fof(f2955,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2954]) ).

fof(f2954,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2953,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2953,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2952,f1381]) ).

fof(f2952,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1594,f1035]) ).

fof(f1594,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1567,f702]) ).

fof(f2951,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2950]) ).

fof(f2950,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(global_subsumption,[],[f2949,f1,f2,f18,f45,f3,f62,f32,f33,f221,f229,f231,f232,f235,f236,f234,f238,f233,f243,f249,f247,f251,f254,f246,f258,f255,f261,f263,f240,f242,f305,f59,f496,f552,f556,f554,f567,f514,f510,f505,f682,f683,f684,f685,f245,f230,f237,f686,f687,f688,f689,f690,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f12,f28,f22,f7,f10,f16,f35,f1038,f17,f19,f13,f11,f43]) ).

fof(f2949,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2948,f1035]) ).

fof(f2948,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f43,f1381]) ).

fof(f2947,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2946]) ).

fof(f2946,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2945,f1038]) ).

fof(f2945,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f2944,f1035]) ).

fof(f2944,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(forward_demodulation,[],[f2943,f783]) ).

fof(f783,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f700,f770]) ).

fof(f770,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f722,f2]) ).

fof(f722,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c4,X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f721,f1]) ).

fof(f721,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f705]) ).

fof(f705,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f701]) ).

fof(f701,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f222]) ).

fof(f222,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f700,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f222]) ).

fof(f2943,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(forward_demodulation,[],[f2865,f2868]) ).

fof(f2868,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f33,f59,f496,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f1135,f1150,f1279,f24,f1274,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f2664,f31,f29,f5,f23,f25,f1500,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1858,f1778,f2607,f1781,f1782,f2599,f2596,f1787,f1880,f1881,f1882,f1883,f1890,f1891,f1892,f1893,f1894,f1970,f2568,f2565,f2561,f2558,f1941,f2553,f2549,f2546,f2543,f2539,f1951,f1958,f2092,f2056,f2526,f2522,f2519,f2516,f2062,f2063,f2509,f2170,f2176,f11,f12,f1295,f28,f22,f7,f1961,f2039,f1963,f2065,f2066,f2083,f2084,f2154,f2155,f10,f16,f35,f1038,f1879,f17,f2864,f19,f2865,f2445,f2866,f13,f2867,f1148]) ).

fof(f1148,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f14,f770]) ).

fof(f2867,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f33,f59,f496,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f1135,f1150,f1279,f24,f1274,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f2664,f31,f29,f5,f23,f25,f1500,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1858,f1778,f2607,f1781,f1782,f2599,f2596,f1787,f1880,f1881,f1882,f1883,f1890,f1891,f1892,f1893,f1894,f1970,f2568,f2565,f2561,f2558,f1941,f2553,f2549,f2546,f2543,f2539,f1951,f1958,f2092,f2056,f2526,f2522,f2519,f2516,f2062,f2063,f2509,f2170,f2176,f11,f12,f1295,f28,f22,f7,f1961,f2039,f1963,f2065,f2066,f2083,f2084,f2154,f2155,f1148,f10,f16,f35,f1038,f1879,f17,f2864,f19,f2865,f2445,f2866,f13]) ).

fof(f2866,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f2445,f1,f2,f18,f45,f3,f62,f32,f33,f59,f496,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f43,f698,f699,f704,f702,f715,f717,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f31,f29,f5,f23,f25,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1778,f1787,f1882,f1883,f1893,f1894,f1970,f2568,f2565,f2561,f1941,f1951,f1958,f2092,f2056,f2519,f2509,f2170,f2176,f11,f12,f28,f22,f7,f13,f10,f16,f35,f17,f19]) ).

fof(f2445,plain,
    ( identity = sk_c5
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f20,f770]) ).

fof(f2864,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f33,f59,f496,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f1135,f1150,f1279,f24,f1274,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f2664,f31,f29,f5,f23,f25,f1500,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1858,f1778,f2607,f1781,f1782,f2599,f2596,f1787,f1880,f1881,f1882,f1883,f1890,f1891,f1892,f1893,f1894,f1970,f2568,f2565,f2561,f2558,f1941,f2553,f2549,f2546,f2543,f2539,f1951,f1958,f2092,f2056,f2526,f2522,f2519,f2516,f2062,f2063,f2509,f2170,f2176,f11,f12,f1295,f28,f22,f7,f1961,f2039,f1963,f2065,f2066,f2083,f2084,f2154,f2155,f1148,f13,f10,f2445,f19,f16,f35,f1038,f1879,f17]) ).

fof(f1879,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1792,f720]) ).

fof(f1792,plain,
    ( identity = inverse(multiply(inverse(inverse(sk_c8)),sk_c4))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f736]) ).

fof(f2155,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2082,f222]) ).

fof(f2154,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2082,f1190]) ).

fof(f2084,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f222]) ).

fof(f2083,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f1190]) ).

fof(f2066,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f773]) ).

fof(f2065,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f700]) ).

fof(f1963,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f700,f1912]) ).

fof(f2039,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1962,f877]) ).

fof(f1962,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(inverse(inverse(sk_c8)),inverse(X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f736,f1912]) ).

fof(f1961,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c4,inverse(X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f773,f1912]) ).

fof(f1295,plain,
    ( identity = sk_c5
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f8,f770]) ).

fof(f2063,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f771]) ).

fof(f2062,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f783]) ).

fof(f2516,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2060,f1190]) ).

fof(f2060,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f705]) ).

fof(f2522,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2058,f1592]) ).

fof(f2058,plain,
    ( inverse(inverse(sk_c8)) = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f878]) ).

fof(f2526,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2525,f1190]) ).

fof(f2525,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2057,f1592]) ).

fof(f2057,plain,
    ( inverse(inverse(inverse(sk_c8))) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f734]) ).

fof(f2539,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2538,f1190]) ).

fof(f2538,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2537,f1592]) ).

fof(f2537,plain,
    ( inverse(inverse(inverse(sk_c8))) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1948,f1592]) ).

fof(f1948,plain,
    ( inverse(inverse(inverse(inverse(inverse(sk_c8))))) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1912,f825]) ).

fof(f2543,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2542,f1190]) ).

fof(f2542,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1947,f1592]) ).

fof(f1947,plain,
    ( inverse(inverse(inverse(sk_c8))) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1912,f720]) ).

fof(f2546,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1946,f1190]) ).

fof(f1946,plain,
    ( inverse(sk_c8) = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1912,f701]) ).

fof(f2549,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1945,f222]) ).

fof(f1945,plain,
    ( inverse(sk_c4) = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1912,f770]) ).

fof(f2553,plain,
    ( sk_c8 = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2552,f1592]) ).

fof(f2552,plain,
    ( inverse(inverse(sk_c8)) = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1943,f1592]) ).

fof(f1943,plain,
    ( inverse(inverse(inverse(inverse(sk_c8)))) = multiply(sk_c8,inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1912,f883]) ).

fof(f2558,plain,
    ( sk_c4 = multiply(sk_c4,inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1940,f1190]) ).

fof(f1940,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c8),inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f1912,f1170]) ).

fof(f1892,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1805,f770]) ).

fof(f1805,plain,
    ( identity = inverse(multiply(sk_c4,sk_c8))
    | ~ spl0_6 ),
    inference(superposition,[],[f773,f1671]) ).

fof(f1891,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1804,f701]) ).

fof(f1804,plain,
    ( identity = inverse(multiply(sk_c8,sk_c4))
    | ~ spl0_6 ),
    inference(superposition,[],[f700,f1671]) ).

fof(f1890,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1803,f720]) ).

fof(f1803,plain,
    ( identity = inverse(multiply(inverse(inverse(sk_c8)),sk_c4))
    | ~ spl0_6 ),
    inference(superposition,[],[f736,f1671]) ).

fof(f1881,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1794,f770]) ).

fof(f1794,plain,
    ( identity = inverse(multiply(sk_c4,sk_c8))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f773]) ).

fof(f1880,plain,
    ( identity = inverse(identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1793,f701]) ).

fof(f1793,plain,
    ( identity = inverse(multiply(sk_c8,sk_c4))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f700]) ).

fof(f2596,plain,
    ( identity = multiply(sk_c8,multiply(sk_c4,inverse(identity)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2595,f1592]) ).

fof(f2595,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),multiply(sk_c4,inverse(identity)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1784,f1592]) ).

fof(f1784,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c4,inverse(identity)))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f825]) ).

fof(f2599,plain,
    ( identity = multiply(sk_c8,multiply(sk_c4,inverse(identity)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1783,f1592]) ).

fof(f1783,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),multiply(sk_c4,inverse(identity)))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f720]) ).

fof(f1782,plain,
    ( identity = multiply(sk_c8,multiply(sk_c4,inverse(identity)))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f701]) ).

fof(f1781,plain,
    ( identity = multiply(sk_c4,multiply(sk_c8,inverse(identity)))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f770]) ).

fof(f2607,plain,
    ( identity = multiply(sk_c4,multiply(sk_c8,inverse(identity)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2606,f1190]) ).

fof(f2606,plain,
    ( identity = multiply(inverse(sk_c8),multiply(sk_c8,inverse(identity)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1779,f1592]) ).

fof(f1779,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,inverse(identity)))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f883]) ).

fof(f1858,plain,
    ( identity = multiply(sk_c8,multiply(sk_c4,inverse(identity)))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1777,f722]) ).

fof(f1777,plain,
    ( identity = multiply(sk_c8,multiply(inverse(sk_c8),inverse(identity)))
    | ~ spl0_6 ),
    inference(superposition,[],[f1671,f1170]) ).

fof(f1500,plain,
    ( identity = sk_c5
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f26,f770]) ).

fof(f2664,plain,
    ( identity = sk_c5
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f32,f770]) ).

fof(f1274,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1273,f770]) ).

fof(f1273,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f12,f718]) ).

fof(f1279,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1278,f770]) ).

fof(f1278,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f11,f718]) ).

fof(f1150,plain,
    ( identity = sk_c7
    | identity = sk_c5
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1149,f770]) ).

fof(f1149,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | identity = sk_c5
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1148,f718]) ).

fof(f1135,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1134,f770]) ).

fof(f1134,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f13,f718]) ).

fof(f1190,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1187,f771]) ).

fof(f1187,plain,
    ( inverse(sk_c8) = multiply(sk_c4,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f773,f1170]) ).

fof(f1192,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1191,f718]) ).

fof(f1191,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1188,f702]) ).

fof(f1188,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c8),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f1170]) ).

fof(f1170,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_6 ),
    inference(superposition,[],[f877,f2]) ).

fof(f1177,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f877]) ).

fof(f1176,plain,
    ( identity = multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f877]) ).

fof(f877,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f736,f773]) ).

fof(f1006,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1005,f770]) ).

fof(f1005,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f10,f718]) ).

fof(f907,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f906,f1]) ).

fof(f906,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f825]) ).

fof(f905,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c8))))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f825]) ).

fof(f825,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f734]) ).

fof(f888,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f887,f1]) ).

fof(f887,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f883]) ).

fof(f886,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f883]) ).

fof(f883,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f878]) ).

fof(f885,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f884,f1]) ).

fof(f884,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f878]) ).

fof(f878,plain,
    ( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f736,f770]) ).

fof(f880,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f736]) ).

fof(f736,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f735,f1]) ).

fof(f735,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f720]) ).

fof(f827,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f826,f1]) ).

fof(f826,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f734]) ).

fof(f734,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f720]) ).

fof(f773,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f722,f59]) ).

fof(f771,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f722,f705]) ).

fof(f787,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f785,f1]) ).

fof(f785,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f770]) ).

fof(f786,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f784,f222]) ).

fof(f784,plain,
    ( sk_c8 = multiply(inverse(sk_c4),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f770]) ).

fof(f779,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f722]) ).

fof(f782,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f778,f718]) ).

fof(f778,plain,
    ( sk_c1 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f702,f722]) ).

fof(f777,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f705,f722]) ).

fof(f775,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f722]) ).

fof(f774,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f722]) ).

fof(f780,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f772,f718]) ).

fof(f772,plain,
    ( sk_c1 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f722,f702]) ).

fof(f769,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c4,X0)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f717,f718]) ).

fof(f720,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f705]) ).

fof(f733,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f715,f718]) ).

fof(f726,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c4,X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f700]) ).

fof(f725,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f698,f718]) ).

fof(f718,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f705,f702]) ).

fof(f719,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f702,f705]) ).

fof(f707,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f706,f1]) ).

fof(f706,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f701]) ).

fof(f2865,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f33,f59,f496,f21,f693,f694,f695,f696,f20,f697,f26,f14,f8,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f1135,f1150,f1279,f24,f1274,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f30,f2664,f31,f29,f5,f23,f25,f1500,f1522,f1525,f1595,f1596,f2632,f1607,f1608,f2625,f1666,f1672,f1756,f2616,f1855,f1858,f1778,f2607,f1781,f1782,f2599,f2596,f1787,f1880,f1881,f1882,f1883,f1890,f1891,f1892,f1893,f1894,f1970,f2568,f2565,f2561,f2558,f1941,f2553,f2549,f2546,f2543,f2539,f1951,f1958,f2092,f2056,f2526,f2522,f2519,f2516,f2062,f2063,f2509,f2170,f2176,f11,f12,f1295,f28,f22,f7,f1961,f2039,f1963,f2065,f2066,f2083,f2084,f2154,f2155,f1148,f13,f10,f2445,f16,f35,f1038,f1879,f17,f2864,f19]) ).

fof(f2863,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2862]) ).

fof(f2862,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(subsumption_resolution,[],[f2861,f1038]) ).

fof(f2861,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2857,f1879]) ).

fof(f2857,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f39,f2850]) ).

fof(f2850,plain,
    ( identity = sk_c3
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2845,f1170]) ).

fof(f2845,plain,
    ( sk_c3 = multiply(sk_c8,inverse(sk_c8))
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f2003,f2835]) ).

fof(f2835,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2684,f2762]) ).

fof(f2762,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2761,f783]) ).

fof(f2761,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2683,f2688]) ).

fof(f2688,plain,
    ( identity = sk_c5
    | spl0_2
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f222,f701,f707,f705,f700,f726,f720,f492,f738,f722,f774,f775,f777,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f877,f1176,f1177,f1170,f1190,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f35,f16,f17,f19,f2445,f10,f13,f1148,f2155,f2154,f2084,f2083,f2066,f2065,f1963,f2039,f1961,f7,f22,f28,f1295,f12,f11,f2176,f2170,f2509,f2063,f2062,f2516,f2519,f2522,f2526,f2056,f2092,f1958,f1951,f2539,f2543,f2546,f2549,f2553,f1941,f2558,f2561,f2565,f2568,f1970,f1894,f1893,f1892,f1891,f1890,f1883,f1882,f1881,f1880,f1879,f1787,f2596,f2599,f1782,f1781,f2607,f1778,f1858,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f30,f2664,f31,f2683,f29,f2684,f5,f23,f2686,f25,f2687,f1500]) ).

fof(f2687,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f30,f31,f2683,f29,f2684,f5,f23,f2686,f25]) ).

fof(f2686,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f30,f31,f2683,f29,f2684,f5,f23]) ).

fof(f42,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f2683,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f30,f31]) ).

fof(f2684,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f30,f31,f2683,f29]) ).

fof(f2860,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2859]) ).

fof(f2859,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2858,f1034]) ).

fof(f1034,plain,
    ( identity != sk_c8
    | spl0_11 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f2858,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2856,f1879]) ).

fof(f2856,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f2786,f2850]) ).

fof(f2786,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f1592,f2764]) ).

fof(f2764,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f2710,f2762]) ).

fof(f2710,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1592,f39]) ).

fof(f2680,plain,
    ( spl0_2
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2679]) ).

fof(f2679,plain,
    ( $false
    | spl0_2
    | spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f1034,f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31,f30]) ).

fof(f949,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f10,f797]) ).

fof(f797,plain,
    ( sk_c6 != multiply(sk_c7,sk_c8)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f796]) ).

fof(f2678,plain,
    ( spl0_2
    | spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2677]) ).

fof(f2677,plain,
    ( $false
    | spl0_2
    | spl0_10
    | spl0_12 ),
    inference(global_subsumption,[],[f1038,f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31,f30]) ).

fof(f2676,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2675]) ).

fof(f2675,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f39,f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31,f30]) ).

fof(f2674,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2673]) ).

fof(f2673,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1292,f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31,f30]) ).

fof(f1292,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f6,f30,f39,f210,f212,f33,f59,f493,f496,f507,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f517,f710,f708,f492,f738,f503,f744,f745,f747,f748,f741,f753,f754,f742,f750,f743,f4,f730,f824,f732,f867,f866,f872,f870,f873,f875,f822,f902,f904,f865,f915,f916,f910,f931,f930,f23,f24]) ).

fof(f930,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f926,f742]) ).

fof(f926,plain,
    ( inverse(sk_c7) = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f743,f910]) ).

fof(f931,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f927,f517]) ).

fof(f927,plain,
    ( inverse(sk_c7) = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f910]) ).

fof(f910,plain,
    ( identity = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f865,f2]) ).

fof(f916,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f865]) ).

fof(f915,plain,
    ( identity = multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f865]) ).

fof(f865,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f732,f743]) ).

fof(f904,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c7)))),multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f903,f1]) ).

fof(f903,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c7)))),multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f822]) ).

fof(f902,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c7))))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f822]) ).

fof(f822,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f730]) ).

fof(f875,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f874,f1]) ).

fof(f874,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f870]) ).

fof(f873,plain,
    ( sk_c7 = multiply(inverse(inverse(inverse(inverse(sk_c7)))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f870]) ).

fof(f870,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f866]) ).

fof(f872,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f871,f1]) ).

fof(f871,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f866]) ).

fof(f866,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f732,f741]) ).

fof(f867,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f732]) ).

fof(f732,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f731,f1]) ).

fof(f731,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f708]) ).

fof(f824,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f823,f1]) ).

fof(f823,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f730]) ).

fof(f730,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f708]) ).

fof(f743,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f503,f59]) ).

fof(f750,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f212,f741]) ).

fof(f742,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f503,f517]) ).

fof(f754,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f752,f1]) ).

fof(f752,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f741]) ).

fof(f753,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f751,f39]) ).

fof(f751,plain,
    ( sk_c7 = multiply(inverse(sk_c3),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f741]) ).

fof(f741,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f503,f2]) ).

fof(f748,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f503]) ).

fof(f747,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f517,f503]) ).

fof(f745,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f503]) ).

fof(f744,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f503]) ).

fof(f503,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f212]) ).

fof(f708,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f517]) ).

fof(f710,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f709,f1]) ).

fof(f709,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f517]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f211,f1]) ).

fof(f211,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f210]) ).

fof(f2672,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2671]) ).

fof(f2671,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1294,f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31,f30]) ).

fof(f1294,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f39,f210,f212,f33,f59,f493,f496,f507,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f517,f710,f708,f492,f738,f503,f744,f745,f747,f748,f741,f753,f754,f742,f750,f743,f4,f730,f824,f732,f867,f866,f872,f870,f873,f875,f822,f902,f904,f865,f915,f916,f910,f931,f930,f23,f24,f1292,f6]) ).

fof(f2670,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2669]) ).

fof(f2669,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f930,f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31,f30]) ).

fof(f2668,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2667]) ).

fof(f2667,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31,f30]) ).

fof(f2666,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2665]) ).

fof(f2665,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2664,f1,f2,f18,f3,f32,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31]) ).

fof(f2663,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29,f31]) ).

fof(f2661,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2660]) ).

fof(f2660,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5,f29]) ).

fof(f2659,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2658]) ).

fof(f2658,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f840,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5]) ).

fof(f840,plain,
    ( sk_c8 = multiply(sk_c6,sk_c3)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f833,f783]) ).

fof(f833,plain,
    ( multiply(sk_c8,identity) = multiply(sk_c6,sk_c3)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f801,f210]) ).

fof(f801,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f794]) ).

fof(f2657,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2656]) ).

fof(f2656,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f1300,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5]) ).

fof(f1300,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f218,f711]) ).

fof(f2655,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2654]) ).

fof(f2654,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f711,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5]) ).

fof(f2653,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2652]) ).

fof(f2652,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_10 ),
    inference(global_subsumption,[],[f218,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5]) ).

fof(f2650,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2649]) ).

fof(f2649,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23,f5]) ).

fof(f2648,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2647]) ).

fof(f2647,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25,f23]) ).

fof(f2646,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2645]) ).

fof(f2645,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522,f25]) ).

fof(f2644,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2643]) ).

fof(f2643,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1500,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522]) ).

fof(f2642,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2641]) ).

fof(f2641,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525,f1522]) ).

fof(f2640,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2639]) ).

fof(f2639,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595,f1525]) ).

fof(f2638,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2637]) ).

fof(f2637,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596,f1595]) ).

fof(f2636,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2635]) ).

fof(f2635,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632,f1596]) ).

fof(f2634,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2633]) ).

fof(f2633,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607,f2632]) ).

fof(f2631,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2630]) ).

fof(f2630,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608,f1607]) ).

fof(f2629,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2628]) ).

fof(f2628,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625,f1608]) ).

fof(f2627,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2626]) ).

fof(f2626,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666,f2625]) ).

fof(f2624,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2623]) ).

fof(f2623,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672,f1666]) ).

fof(f2622,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2621]) ).

fof(f2621,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756,f1672]) ).

fof(f2620,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2619]) ).

fof(f2619,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616,f1756]) ).

fof(f2618,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2617]) ).

fof(f2617,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855,f2616]) ).

fof(f2615,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2614]) ).

fof(f2614,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778,f1855]) ).

fof(f2613,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2612]) ).

fof(f2612,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1858,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778]) ).

fof(f2611,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2610]) ).

fof(f2610,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787,f1778]) ).

fof(f2609,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2608]) ).

fof(f2608,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2607,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787]) ).

fof(f2605,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2604]) ).

fof(f2604,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1781,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787]) ).

fof(f2603,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2602]) ).

fof(f2602,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1782,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787]) ).

fof(f2601,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2600]) ).

fof(f2600,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2599,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787]) ).

fof(f2598,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2597]) ).

fof(f2597,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2596,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787]) ).

fof(f2594,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2593]) ).

fof(f2593,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882,f1787]) ).

fof(f2592,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2591]) ).

fof(f2591,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1879,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882]) ).

fof(f2590,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2589]) ).

fof(f2589,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1880,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882]) ).

fof(f2588,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2587]) ).

fof(f2587,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1881,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882]) ).

fof(f2586,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2585]) ).

fof(f2585,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883,f1882]) ).

fof(f2584,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2583]) ).

fof(f2583,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893,f1883]) ).

fof(f2582,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2581]) ).

fof(f2581,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1890,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893]) ).

fof(f2580,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2579]) ).

fof(f2579,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1891,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893]) ).

fof(f2578,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2577]) ).

fof(f2577,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1892,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893]) ).

fof(f2576,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2575]) ).

fof(f2575,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894,f1893]) ).

fof(f2574,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2573]) ).

fof(f2573,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970,f1894]) ).

fof(f2572,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2571]) ).

fof(f2571,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568,f1970]) ).

fof(f2570,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2569]) ).

fof(f2569,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565,f2568]) ).

fof(f2567,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2566]) ).

fof(f2566,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561,f2565]) ).

fof(f2563,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2562]) ).

fof(f2562,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941,f2561]) ).

fof(f2560,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2559]) ).

fof(f2559,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2558,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941]) ).

fof(f2557,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2556]) ).

fof(f2556,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951,f1941]) ).

fof(f2555,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2554]) ).

fof(f2554,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2553,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951]) ).

fof(f2551,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2550]) ).

fof(f2550,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2549,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951]) ).

fof(f2548,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2547]) ).

fof(f2547,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2546,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951]) ).

fof(f2545,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2544]) ).

fof(f2544,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2543,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951]) ).

fof(f2541,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2540]) ).

fof(f2540,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2539,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951]) ).

fof(f2536,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2535]) ).

fof(f2535,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958,f1951]) ).

fof(f2534,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2533]) ).

fof(f2533,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092,f1958]) ).

fof(f2532,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2531]) ).

fof(f2531,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056,f2092]) ).

fof(f2530,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2529]) ).

fof(f2529,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519,f2056]) ).

fof(f2528,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2527]) ).

fof(f2527,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2526,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519]) ).

fof(f2524,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2523]) ).

fof(f2523,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2522,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519]) ).

fof(f2521,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2520]) ).

fof(f2520,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509,f2519]) ).

fof(f2518,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2517]) ).

fof(f2517,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2516,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509]) ).

fof(f2515,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2514]) ).

fof(f2514,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2062,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509]) ).

fof(f2513,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2512]) ).

fof(f2512,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2063,f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509]) ).

fof(f2511,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2510]) ).

fof(f2510,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170,f2509]) ).

fof(f2508,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2507]) ).

fof(f2507,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176,f2170]) ).

fof(f2506,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2505]) ).

fof(f2505,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11,f2176]) ).

fof(f2504,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2503]) ).

fof(f2503,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12,f11]) ).

fof(f2502,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2501]) ).

fof(f2501,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f30,f33,f59,f496,f21,f20,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28,f12]) ).

fof(f2500,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2499]) ).

fof(f2499,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1295,f1,f2,f18,f3,f32,f31,f29,f12,f30,f33,f59,f496,f21,f20,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28]) ).

fof(f2498,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2497]) ).

fof(f2497,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1277,f1,f2,f18,f3,f32,f31,f29,f12,f30,f33,f59,f496,f21,f20,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28]) ).

fof(f1277,plain,
    ( sk_c8 = multiply(sk_c6,sk_c2)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f834,f783]) ).

fof(f834,plain,
    ( multiply(sk_c8,identity) = multiply(sk_c6,sk_c2)
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f801,f224]) ).

fof(f2496,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2495]) ).

fof(f2495,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f794,f1,f2,f18,f3,f32,f31,f29,f12,f30,f33,f59,f496,f21,f20,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28]) ).

fof(f2494,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2493]) ).

fof(f2493,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f12,f30,f33,f59,f496,f21,f20,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22,f28]) ).

fof(f2492,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2491]) ).

fof(f2491,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7,f22]) ).

fof(f2490,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2489]) ).

fof(f2489,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13,f7]) ).

fof(f2471,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2470]) ).

fof(f2470,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1961,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2469,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2468]) ).

fof(f2468,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2039,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2467,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2466]) ).

fof(f2466,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1963,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2465,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2464]) ).

fof(f2464,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2065,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2463,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2462]) ).

fof(f2462,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2066,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2461,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2460]) ).

fof(f2460,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2083,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2459,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2458]) ).

fof(f2458,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2084,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2457,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2456]) ).

fof(f2456,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2154,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2455,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2454]) ).

fof(f2454,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2155,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2453,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2452]) ).

fof(f2452,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1148,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2451,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2450]) ).

fof(f2450,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10,f13]) ).

fof(f2449,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2448]) ).

fof(f2448,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f13,f11,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19,f10]) ).

fof(f2447,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2446]) ).

fof(f2446,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2445,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19]) ).

fof(f2444,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2443]) ).

fof(f2443,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f20,f22,f25,f26,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17,f19]) ).

fof(f2442,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2441]) ).

fof(f2441,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f19,f20,f22,f25,f26,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16,f17]) ).

fof(f2440,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2439]) ).

fof(f2439,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f17,f19,f20,f22,f25,f26,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35,f16]) ).

fof(f2438,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2437]) ).

fof(f2437,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f16,f17,f19,f20,f22,f25,f26,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949,f35]) ).

fof(f2436,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2435]) ).

fof(f2435,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f804,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949]) ).

fof(f804,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f800,f722]) ).

fof(f800,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f794]) ).

fof(f2434,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2433]) ).

fof(f2433,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797,f949]) ).

fof(f2432,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2431]) ).

fof(f2431,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42,f797]) ).

fof(f2430,plain,
    ( spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2429]) ).

fof(f2429,plain,
    ( $false
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f42]) ).

fof(f2428,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2427]) ).

fof(f2427,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2426,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f222,f701,f707,f705,f700,f726,f720,f492,f738,f722,f774,f775,f777,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f1071,f1072,f1058,f1069,f877,f1176,f1177,f1170,f1190,f1250,f1265,f23,f24,f6,f1295,f7,f5,f1039,f1337,f1339,f1035,f1362,f1363,f1385,f1370,f1391,f1382,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f2308,f2315,f2322,f2326,f2331,f2341,f2362,f2376,f2381,f2390,f2393,f2397,f2403,f2418,f2423]) ).

fof(f2423,plain,
    ( identity != sk_c6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2422,f1039]) ).

fof(f2422,plain,
    ( sk_c7 != sk_c6
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2421,f1567]) ).

fof(f2421,plain,
    ( sk_c6 != multiply(sk_c7,identity)
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f797,f1035]) ).

fof(f2418,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2417,f1039]) ).

fof(f2417,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f949,f1035]) ).

fof(f2403,plain,
    ( identity = sk_c6
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1069,f1035]) ).

fof(f2397,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2396,f1039]) ).

fof(f2396,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f804,f1382]) ).

fof(f2393,plain,
    ( identity = sk_c6
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1350,f1035]) ).

fof(f1350,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1053,f783]) ).

fof(f1053,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f794,f1039]) ).

fof(f2390,plain,
    ( identity = sk_c6
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2389,f1035]) ).

fof(f2389,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2388,f783]) ).

fof(f2388,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f794,f1039]) ).

fof(f2381,plain,
    ( identity = sk_c6
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2380,f1035]) ).

fof(f2380,plain,
    ( sk_c8 = sk_c6
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2379,f783]) ).

fof(f2379,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1295,f1039]) ).

fof(f2376,plain,
    ( identity = sk_c6
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2375,f1035]) ).

fof(f2375,plain,
    ( sk_c8 = sk_c6
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2374,f783]) ).

fof(f2374,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | identity = sk_c5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1491,f1039]) ).

fof(f1491,plain,
    ( identity = sk_c5
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1490,f1039]) ).

fof(f1490,plain,
    ( sk_c7 = sk_c5
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1489,f1]) ).

fof(f1489,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f7,f1035]) ).

fof(f2362,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f2361]) ).

fof(f2361,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2360,f1035]) ).

fof(f2360,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c6
        | identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2359,f783]) ).

fof(f2359,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c8,identity)
        | identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2358,f1039]) ).

fof(f2358,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2357,f1039]) ).

fof(f2357,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2356,f1567]) ).

fof(f2356,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2355,f1035]) ).

fof(f2355,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2354,f1039]) ).

fof(f2354,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2353,f1035]) ).

fof(f2353,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2352,f1035]) ).

fof(f2352,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2351,f1039]) ).

fof(f2351,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2350,f1039]) ).

fof(f2350,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2349,f1039]) ).

fof(f2349,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c6
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2348,f1567]) ).

fof(f2348,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(sk_c7,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2347,f1035]) ).

fof(f2347,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2346,f1039]) ).

fof(f2346,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2345,f1039]) ).

fof(f2345,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2344,f1035]) ).

fof(f2344,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f35,f1035]) ).

fof(f2341,plain,
    ( identity = sk_c6
    | identity = inverse(sk_c1)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2340,f1039]) ).

fof(f2340,plain,
    ( sk_c7 = sk_c6
    | identity = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2339,f1567]) ).

fof(f2339,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | identity = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2338,f1035]) ).

fof(f2338,plain,
    ( identity = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16,f1035]) ).

fof(f2331,plain,
    ( identity = multiply(identity,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2330,f1039]) ).

fof(f2330,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2329,f1035]) ).

fof(f2329,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f1035]) ).

fof(f2326,plain,
    ( identity = sk_c5
    | identity = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2325,f770]) ).

fof(f2325,plain,
    ( identity = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f20,f1035]) ).

fof(f2322,plain,
    ( identity = multiply(sk_c1,identity)
    | identity = sk_c6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2321,f1039]) ).

fof(f2321,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | identity = sk_c6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2320,f1035]) ).

fof(f2320,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2319,f1039]) ).

fof(f2319,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2318,f1567]) ).

fof(f2318,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f10,f1035]) ).

fof(f2315,plain,
    ( identity = sk_c5
    | identity = multiply(sk_c1,identity)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2314,f1039]) ).

fof(f2314,plain,
    ( sk_c7 = sk_c5
    | identity = multiply(sk_c1,identity)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2313,f1]) ).

fof(f2313,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | identity = multiply(sk_c1,identity)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2312,f1035]) ).

fof(f2312,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2311,f1039]) ).

fof(f2311,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f1035]) ).

fof(f2308,plain,
    ( identity = multiply(sk_c1,identity)
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2307,f1039]) ).

fof(f2307,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1148,f1035]) ).

fof(f1382,plain,
    ( identity = sk_c4
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1365,f2]) ).

fof(f1365,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f705,f1035]) ).

fof(f1391,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1371,f1]) ).

fof(f1371,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = X0
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f773,f1035]) ).

fof(f1370,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f770,f1035]) ).

fof(f1385,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1367,f492]) ).

fof(f1367,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c4,X0)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f722,f1035]) ).

fof(f1363,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f701,f1035]) ).

fof(f1362,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f700,f1035]) ).

fof(f1339,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1338,f1039]) ).

fof(f1338,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f31,f1039]) ).

fof(f1337,plain,
    ( identity = sk_c5
    | identity = inverse(sk_c2)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1336,f770]) ).

fof(f1336,plain,
    ( identity = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f32,f1039]) ).

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

fof(f1265,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | identity = inverse(sk_c3)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1264,f1069]) ).

fof(f1264,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | identity = inverse(sk_c3)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1263,f1039]) ).

fof(f1263,plain,
    ( identity = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f24,f1039]) ).

fof(f1250,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1249,f1039]) ).

fof(f1249,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1240,f1069]) ).

fof(f1240,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f23,f1039]) ).

fof(f1069,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1053,f783]) ).

fof(f1058,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f828,f1039]) ).

fof(f1072,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1056,f878]) ).

fof(f1056,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f806,f1039]) ).

fof(f1071,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,X0)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1055,f1]) ).

fof(f1055,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f801,f1039]) ).

fof(f909,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c7,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f828]) ).

fof(f908,plain,
    ( sk_c7 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c8))))),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f828]) ).

fof(f828,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c7)
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f812]) ).

fof(f892,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f736,f810]) ).

fof(f810,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f804]) ).

fof(f836,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f801]) ).

fof(f835,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f773,f801]) ).

fof(f829,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f812]) ).

fof(f812,plain,
    ( sk_c7 = multiply(inverse(inverse(inverse(sk_c8))),sk_c6)
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f806]) ).

fof(f813,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c7,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f806]) ).

fof(f806,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c8)),sk_c7)
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f800]) ).

fof(f807,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),multiply(sk_c6,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f800]) ).

fof(f805,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f722,f800]) ).

fof(f2426,plain,
    ( identity != inverse(sk_c1)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f42,f1035]) ).

fof(f2425,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2424]) ).

fof(f2424,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f222,f701,f707,f705,f700,f726,f720,f492,f738,f722,f774,f775,f777,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f1071,f1072,f1058,f1069,f877,f1176,f1177,f1170,f1190,f1250,f1265,f23,f24,f6,f1295,f7,f5,f1039,f1337,f1339,f1035,f1362,f1363,f1385,f1370,f1391,f1382,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174,f2308,f2315,f2322,f2326,f2331,f2341,f2362,f2376,f2381,f2390,f2393,f2397,f2403,f2418,f2423]) ).

fof(f2420,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

fof(f2419,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2418,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2416,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2415]) ).

fof(f2415,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2414,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2414,plain,
    ( identity = sk_c6
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f2413]) ).

fof(f2413,plain,
    ( identity = sk_c6
    | identity = sk_c6
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2412,f1039]) ).

fof(f2412,plain,
    ( sk_c7 = sk_c6
    | identity = sk_c6
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2411,f1567]) ).

fof(f2411,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | identity = sk_c6
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2410,f1035]) ).

fof(f2410,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2409,f1]) ).

fof(f2409,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2408,f1262]) ).

fof(f1262,plain,
    ( identity = sk_c2
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1261,f2]) ).

fof(f1261,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f520,f1039]) ).

fof(f2408,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f22,f1039]) ).

fof(f2405,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2404]) ).

fof(f2404,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2403,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2402,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2401,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2400,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2400,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1345,f1035]) ).

fof(f1345,plain,
    ( sk_c8 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f840,f1067]) ).

fof(f1067,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1046,f2]) ).

fof(f1046,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f517,f1039]) ).

fof(f2399,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2398]) ).

fof(f2398,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2397,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2395,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2394]) ).

fof(f2394,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2393,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2392,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2390,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2387,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2386]) ).

fof(f2386,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2385,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2385,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2384,f1035]) ).

fof(f2384,plain,
    ( sk_c8 = multiply(sk_c6,identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1277,f1262]) ).

fof(f2383,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2382]) ).

fof(f2382,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2381,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2378,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2377]) ).

fof(f2377,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2376,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2370,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f2369,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2368,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2368,plain,
    ( identity = multiply(identity,sk_c5)
    | identity = sk_c6
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2367,f1039]) ).

fof(f2367,plain,
    ( sk_c7 = multiply(identity,sk_c5)
    | identity = sk_c6
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1499,f1035]) ).

fof(f1499,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1498,f1]) ).

fof(f1498,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1497,f1262]) ).

fof(f1497,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f1039]) ).

fof(f2366,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2365]) ).

fof(f2365,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1503,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f1503,plain,
    ( identity = sk_c6
    | identity = sk_c5
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1502,f1]) ).

fof(f1502,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = sk_c5
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1501,f1262]) ).

fof(f1501,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | identity = sk_c5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1500,f1039]) ).

fof(f2364,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2363]) ).

fof(f2363,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2362,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2343,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2342]) ).

fof(f2342,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2341,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2333,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2332,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2331,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2328,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2327]) ).

fof(f2327,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2326,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2324,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2323]) ).

fof(f2323,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2322,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2317,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2316]) ).

fof(f2316,plain,
    ( $false
    | spl0_2
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2315,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2310,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f2308,f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f33,f59,f496,f42,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f492,f738,f4,f797,f23,f24,f6,f7,f5,f493,f1484,f1481,f1523,f1531,f507,f1574,f1575,f1579,f1581,f1567,f1628,f1604,f1638,f1592,f1658,f1659,f1564,f1694,f1682,f1569,f1724,f1734,f1671,f1762,f1791,f1889,f1914,f1916,f1917,f1912,f1925,f1938,f2008,f1955,f2046,f1965,f1966,f1968,f1969,f2003,f2055,f2068,f2087,f2088,f2089,f2090,f2082,f2168,f2171,f2172,f2173,f2174]) ).

fof(f2294,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2293]) ).

fof(f2293,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2292,f1316]) ).

fof(f1316,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1315,f1039]) ).

fof(f1315,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f39,f1067]) ).

fof(f2292,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2291,f1382]) ).

fof(f2291,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2290,f1190]) ).

fof(f2290,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2289,f1382]) ).

fof(f2289,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2236,f771]) ).

fof(f2236,plain,
    ( identity != multiply(sk_c4,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f722]) ).

fof(f677,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f676,plain,
    ( spl0_7
  <=> ! [X5] :
        ( identity != inverse(X5)
        | identity != multiply(X5,identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2288,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2287]) ).

fof(f2287,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2286,f1592]) ).

fof(f2286,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2240,f1592]) ).

fof(f2240,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2235]) ).

fof(f2235,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f1481]) ).

fof(f2285,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2284]) ).

fof(f2284,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2283,f1316]) ).

fof(f2283,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2282,f1035]) ).

fof(f2282,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2281,f1592]) ).

fof(f2281,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2280,f1035]) ).

fof(f2280,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2234,f783]) ).

fof(f2234,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f877]) ).

fof(f2279,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2278]) ).

fof(f2278,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2241,f1592]) ).

fof(f2241,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2233]) ).

fof(f2233,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f492]) ).

fof(f2277,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2276]) ).

fof(f2276,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2242,f1592]) ).

fof(f2242,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2232]) ).

fof(f2232,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f2]) ).

fof(f2275,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2274]) ).

fof(f2274,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2243,f1316]) ).

fof(f2243,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2231]) ).

fof(f2231,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f1]) ).

fof(f2273,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2272]) ).

fof(f2272,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2271,f1316]) ).

fof(f2271,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2270,f1382]) ).

fof(f2270,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2230,f1382]) ).

fof(f2230,plain,
    ( identity != sk_c4
    | identity != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f771]) ).

fof(f2269,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2267,f1316]) ).

fof(f2267,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2266,f1035]) ).

fof(f2266,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2229,f1035]) ).

fof(f2229,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f783]) ).

fof(f2265,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2264]) ).

fof(f2264,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2263,f1316]) ).

fof(f2263,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2262,f1382]) ).

fof(f2262,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2261,f1190]) ).

fof(f2261,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2228,f1381]) ).

fof(f2228,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f702]) ).

fof(f2260,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2259]) ).

fof(f2259,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2258,f1316]) ).

fof(f2258,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2257,f1382]) ).

fof(f2257,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2256,f1190]) ).

fof(f2256,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2227,f1382]) ).

fof(f2227,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f705]) ).

fof(f2254,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2253]) ).

fof(f2253,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2252,f1316]) ).

fof(f2252,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2251,f1035]) ).

fof(f2251,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2250,f1592]) ).

fof(f2250,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2225,f1035]) ).

fof(f2225,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f878]) ).

fof(f2249,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2248]) ).

fof(f2248,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2247,f1316]) ).

fof(f2247,plain,
    ( identity != inverse(identity)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2246,f1382]) ).

fof(f2246,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2245,f1190]) ).

fof(f2245,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2244,f1592]) ).

fof(f2244,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2224,f1382]) ).

fof(f2224,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f677,f734]) ).

fof(f2219,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2218]) ).

fof(f2218,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2209,f1592]) ).

fof(f2209,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2207]) ).

fof(f2207,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(superposition,[],[f2201,f1564]) ).

fof(f2201,plain,
    ( ! [X7] :
        ( identity != multiply(identity,X7)
        | identity != inverse(X7) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f2200]) ).

fof(f2217,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2216]) ).

fof(f2216,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2215,f1592]) ).

fof(f2215,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2210,f1912]) ).

fof(f2210,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2206]) ).

fof(f2206,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_13 ),
    inference(superposition,[],[f2201,f1671]) ).

fof(f2213,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2212]) ).

fof(f2212,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2211,f1316]) ).

fof(f2211,plain,
    ( identity != inverse(identity)
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2204]) ).

fof(f2204,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f2201,f1567]) ).

fof(f2202,plain,
    ( spl0_7
    | spl0_7
    | spl0_7
    | spl0_13
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1751,f1037,f1033,f796,f220,f2200,f676,f676,f676]) ).

fof(f1751,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,X7)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1558,f1567]) ).

fof(f1558,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1557,f783]) ).

fof(f1557,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(sk_c8,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1556,f1039]) ).

fof(f1556,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(sk_c8,sk_c7)
        | identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1555,f1070]) ).

fof(f1070,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1054,f1]) ).

fof(f1054,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f798,f1039]) ).

fof(f1555,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1554,f1039]) ).

fof(f1554,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X7,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1553,f1035]) ).

fof(f1553,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1552,f1039]) ).

fof(f1552,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1551,f1035]) ).

fof(f1551,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1550,f1035]) ).

fof(f1550,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1549,f1039]) ).

fof(f1549,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1548,f1035]) ).

fof(f1548,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1547,f1070]) ).

fof(f1547,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1546,f1039]) ).

fof(f1546,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1545,f1039]) ).

fof(f1545,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1544,f1039]) ).

fof(f1544,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1543,f1035]) ).

fof(f1543,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1542,f1035]) ).

fof(f1542,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f35,f798]) ).

fof(f1534,plain,
    ( spl0_8
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1533,f1033,f207,f679]) ).

fof(f207,plain,
    ( spl0_4
  <=> ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1533,plain,
    ( ! [X7] :
        ( identity != multiply(identity,multiply(X7,identity))
        | identity != inverse(X7) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1532,f1035]) ).

fof(f1532,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f208,f1035]) ).

fof(f208,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f1355,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1354]) ).

fof(f1354,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f3,f32,f31,f29,f28,f12,f30,f210,f212,f33,f59,f493,f496,f507,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f27,f15,f9,f517,f710,f708,f492,f738,f503,f744,f745,f747,f748,f741,f753,f754,f742,f750,f743,f4,f730,f824,f732,f867,f866,f872,f870,f873,f875,f822,f902,f904,f865,f915,f916,f910,f931,f1034,f1041,f1042,f1066,f1047,f1048,f1049,f1050,f1068,f1057,f1073,f1060,f1061,f1062,f1063,f23,f24,f1292,f6,f1294,f7,f5,f930,f1106,f39,f1039,f1067,f1318,f1322,f1316,f1339,f1344,f1353]) ).

fof(f1353,plain,
    ( identity != inverse(sk_c2)
    | spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f217,f1039]) ).

fof(f217,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f1344,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1343,f1034]) ).

fof(f1343,plain,
    ( identity = sk_c8
    | identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1342,f1]) ).

fof(f1342,plain,
    ( sk_c8 = multiply(identity,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1341,f1067]) ).

fof(f1341,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1340,f1039]) ).

fof(f1340,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f29,f1039]) ).

fof(f1322,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1321,f1039]) ).

fof(f1321,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1294,f1067]) ).

fof(f1318,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1317,f1039]) ).

fof(f1317,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1292,f1067]) ).

fof(f1106,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1093,f1039]) ).

fof(f1093,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f39,f1067]) ).

fof(f1063,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f930,f1039]) ).

fof(f1062,plain,
    ( identity = multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f910,f1039]) ).

fof(f1061,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f870,f1039]) ).

fof(f1060,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f866,f1039]) ).

fof(f1073,plain,
    ( ! [X0] : multiply(inverse(inverse(identity)),X0) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1059,f1]) ).

fof(f1059,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(identity)),X0)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f865,f1039]) ).

fof(f1057,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c3)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f822,f1039]) ).

fof(f1068,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1051,f1]) ).

fof(f1051,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f743,f1039]) ).

fof(f1050,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f741,f1039]) ).

fof(f1049,plain,
    ( ! [X0] : multiply(inverse(inverse(identity)),multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f732,f1039]) ).

fof(f1048,plain,
    ( sk_c3 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f730,f1039]) ).

fof(f1047,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c3)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f708,f1039]) ).

fof(f1066,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1045,f492]) ).

fof(f1045,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f503,f1039]) ).

fof(f1042,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f212,f1039]) ).

fof(f1041,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f210,f1039]) ).

fof(f1333,plain,
    ( ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1332,plain,
    ( $false
    | ~ spl0_6
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1331,f783]) ).

fof(f1331,plain,
    ( sk_c8 != multiply(sk_c8,identity)
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1330,f1039]) ).

fof(f1330,plain,
    ( sk_c8 != multiply(sk_c8,sk_c7)
    | spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f793,f1070]) ).

fof(f793,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | spl0_9 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f1288,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1287]) ).

fof(f1287,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f46,f47,f48,f49,f50,f3,f55,f56,f62,f64,f68,f69,f63,f72,f74,f54,f75,f81,f79,f83,f86,f90,f91,f78,f95,f92,f98,f100,f102,f101,f103,f112,f111,f116,f105,f123,f121,f125,f126,f130,f131,f133,f134,f146,f137,f147,f142,f157,f160,f143,f163,f164,f144,f165,f185,f174,f179,f148,f32,f31,f29,f28,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f156,f170,f128,f38,f67,f127,f1274,f1275,f24,f1276,f1279,f1280,f23,f1281,f1150,f1285,f1135,f1286,f1038]) ).

fof(f1286,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f46,f47,f48,f49,f50,f3,f55,f56,f62,f64,f68,f69,f63,f72,f74,f54,f75,f81,f79,f83,f86,f90,f91,f78,f95,f92,f98,f100,f102,f101,f103,f112,f111,f116,f105,f123,f121,f125,f126,f130,f131,f133,f134,f146,f137,f147,f142,f157,f160,f143,f163,f164,f144,f165,f185,f174,f179,f148,f32,f31,f29,f28,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f156,f170,f128,f38,f67,f127,f1274,f1275,f24,f1276,f1279,f1280,f23,f1281,f1150,f1285,f1135]) ).

fof(f1285,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f46,f47,f48,f49,f50,f3,f55,f56,f62,f64,f68,f69,f63,f72,f74,f54,f75,f81,f79,f83,f86,f90,f91,f78,f95,f92,f98,f100,f102,f101,f103,f112,f111,f116,f105,f123,f121,f125,f126,f130,f131,f133,f134,f146,f137,f147,f142,f157,f160,f143,f163,f164,f144,f165,f185,f174,f179,f148,f32,f31,f29,f28,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f156,f170,f128,f38,f67,f127,f1274,f1275,f24,f1276,f1279,f1280,f23,f1281,f1150]) ).

fof(f1281,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f3,f55,f56,f63,f54,f32,f31,f29,f28,f12,f6,f30,f33,f59,f493,f496,f507,f21,f16,f17,f19,f20,f22,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f492,f738,f4,f38,f24,f1276,f23]) ).

fof(f1280,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f46,f47,f48,f49,f50,f3,f55,f56,f62,f64,f68,f69,f63,f72,f74,f54,f75,f81,f79,f83,f86,f90,f91,f78,f95,f92,f98,f100,f102,f101,f103,f112,f111,f116,f105,f123,f121,f125,f126,f130,f131,f133,f134,f146,f137,f147,f142,f157,f160,f143,f163,f164,f144,f165,f185,f174,f179,f148,f32,f31,f29,f28,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f156,f170,f128,f38,f67,f127,f1274,f1275,f24,f1276,f1279]) ).

fof(f1276,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f18,f46,f47,f48,f49,f50,f3,f55,f56,f63,f54,f32,f31,f29,f28,f12,f6,f30,f33,f59,f493,f496,f507,f21,f16,f17,f19,f20,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f492,f738,f4,f38,f24]) ).

fof(f1275,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f46,f47,f48,f49,f50,f3,f55,f56,f62,f64,f68,f69,f63,f72,f74,f54,f75,f81,f79,f83,f86,f90,f91,f78,f95,f92,f98,f100,f102,f101,f103,f112,f111,f116,f105,f123,f121,f125,f126,f130,f131,f133,f134,f146,f137,f147,f142,f157,f160,f143,f163,f164,f144,f165,f185,f174,f179,f148,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f783,f773,f734,f827,f736,f880,f878,f885,f883,f886,f888,f825,f905,f907,f1006,f877,f1176,f1177,f1170,f1192,f1190,f156,f170,f128,f38,f67,f127,f1274]) ).

fof(f127,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f72]) ).

fof(f67,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f48]) ).

fof(f38,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f128,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f47]) ).

fof(f170,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f144,f45]) ).

fof(f156,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f152,f127]) ).

fof(f152,plain,
    ( sk_c7 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f128]) ).

fof(f148,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f91,f127]) ).

fof(f179,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f144]) ).

fof(f174,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f144]) ).

fof(f185,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f172,f125]) ).

fof(f172,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f144]) ).

fof(f165,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f144,f62]) ).

fof(f144,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f127]) ).

fof(f164,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f162,f1]) ).

fof(f162,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f143]) ).

fof(f163,plain,
    ( identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f161,f121]) ).

fof(f161,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f143]) ).

fof(f143,plain,
    ( identity = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f121,f127]) ).

fof(f160,plain,
    ( identity = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f134,f128]) ).

fof(f157,plain,
    ( identity = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f156]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f101,f127]) ).

fof(f147,plain,
    ( identity = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f141,f45]) ).

fof(f141,plain,
    ( identity = multiply(sk_c8,multiply(sk_c8,sk_c1))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f92,f127]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f127]) ).

fof(f146,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f136,f67]) ).

fof(f136,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f50,f127]) ).

fof(f134,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f47,f127]) ).

fof(f133,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f47,f125]) ).

fof(f131,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f125]) ).

fof(f130,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f125]) ).

fof(f126,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f63]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f1]) ).

fof(f124,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f121]) ).

fof(f121,plain,
    ( identity = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f47]) ).

fof(f120,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f118,f54]) ).

fof(f118,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c1,multiply(sk_c8,identity))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f105]) ).

fof(f123,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f1]) ).

fof(f122,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = multiply(sk_c8,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f3]) ).

fof(f119,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = multiply(multiply(sk_c8,identity),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f105]) ).

fof(f105,plain,
    ( multiply(sk_c8,sk_c2) = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f101,f47]) ).

fof(f116,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f111]) ).

fof(f111,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f110,f67]) ).

fof(f110,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f104,f48]) ).

fof(f104,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f101,f72]) ).

fof(f112,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f108,f54]) ).

fof(f108,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f101]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f101,f63]) ).

fof(f101,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f55,f67]) ).

fof(f102,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f56,f67]) ).

fof(f100,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,multiply(sk_c1,X0))) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f99,f1]) ).

fof(f99,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c1,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f97,f3]) ).

fof(f97,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c1),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f92]) ).

fof(f98,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c7,multiply(sk_c7,sk_c1))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f96,f78]) ).

fof(f96,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,multiply(sk_c7,sk_c1))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f92]) ).

fof(f92,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c1))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f78]) ).

fof(f95,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f94,f1]) ).

fof(f94,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f93,f3]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c1),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f78]) ).

fof(f78,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f45]) ).

fof(f91,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != sk_c7
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f90]) ).

fof(f90,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,sk_c7)
        | sk_c8 != sk_c7
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f89,f67]) ).

fof(f89,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f88,f67]) ).

fof(f88,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c6
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f87,f72]) ).

fof(f87,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f35,f48]) ).

fof(f86,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f83]) ).

fof(f83,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f82,f49]) ).

fof(f82,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f77,f67]) ).

fof(f77,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f54,f48]) ).

fof(f79,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f54]) ).

fof(f81,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f76,f49]) ).

fof(f76,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f64]) ).

fof(f75,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f62]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f74,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f72]) ).

fof(f72,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f70,f67]) ).

fof(f70,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f63,f50]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f69,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f64]) ).

fof(f68,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f64]) ).

fof(f64,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f49]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

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

fof(f50,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f38]) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f38]) ).

fof(f48,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f38]) ).

fof(f47,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f30,f38]) ).

fof(f1271,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1270]) ).

fof(f1270,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1269,f1034]) ).

fof(f1269,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f127,f1039]) ).

fof(f1248,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1246,f1034]) ).

fof(f1246,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1245,f741]) ).

fof(f1245,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1244,f1034]) ).

fof(f1244,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1243,f1069]) ).

fof(f1243,plain,
    ( identity = sk_c6
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1242,f1067]) ).

fof(f1242,plain,
    ( sk_c6 = sk_c3
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1241,f742]) ).

fof(f1241,plain,
    ( sk_c6 = multiply(sk_c3,identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1240,f711]) ).

fof(f1040,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1031,f220,f41,f37,f1037,f1033]) ).

fof(f1031,plain,
    ( identity = sk_c7
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1030,f770]) ).

fof(f1030,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1029,f718]) ).

fof(f1029,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f11,f741]) ).

fof(f1004,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1003]) ).

fof(f1003,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f974,f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987,f969]) ).

fof(f969,plain,
    ( sk_c6 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f828,f951]) ).

fof(f987,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f967,f878]) ).

fof(f967,plain,
    ( sk_c6 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f806,f951]) ).

fof(f984,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,X0)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f966,f1]) ).

fof(f966,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f801,f951]) ).

fof(f981,plain,
    ( sk_c8 != sk_c6
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f965,f1]) ).

fof(f965,plain,
    ( sk_c6 != multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f797,f951]) ).

fof(f980,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f964,f783]) ).

fof(f964,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(superposition,[],[f794,f951]) ).

fof(f951,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f950,f770]) ).

fof(f950,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f949,f718]) ).

fof(f974,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f930,f951]) ).

fof(f1002,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1001,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f973,f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987,f969]) ).

fof(f973,plain,
    ( identity = multiply(identity,inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f910,f951]) ).

fof(f1000,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f999]) ).

fof(f999,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f972,f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987,f969]) ).

fof(f972,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f870,f951]) ).

fof(f998,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f971,f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987,f969]) ).

fof(f971,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f866,f951]) ).

fof(f996,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f995]) ).

fof(f995,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f994,f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987,f969]) ).

fof(f994,plain,
    ( ! [X0] : multiply(inverse(inverse(identity)),X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f970,f1]) ).

fof(f970,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(identity)),X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f865,f951]) ).

fof(f993,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f992]) ).

fof(f992,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987,f969]) ).

fof(f991,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f990]) ).

fof(f990,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f968,f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987]) ).

fof(f968,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(superposition,[],[f822,f951]) ).

fof(f989,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f988]) ).

fof(f988,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984,f987]) ).

fof(f986,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f985]) ).

fof(f985,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981,f984]) ).

fof(f983,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f982,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f18,f45,f3,f62,f32,f31,f29,f28,f24,f12,f6,f30,f33,f59,f493,f496,f507,f21,f693,f16,f694,f17,f695,f19,f696,f20,f697,f22,f23,f25,f26,f35,f14,f13,f11,f10,f8,f7,f5,f27,f15,f9,f43,f698,f222,f699,f704,f701,f707,f702,f715,f717,f705,f719,f718,f725,f700,f726,f733,f720,f492,f738,f769,f722,f780,f774,f775,f777,f782,f779,f770,f786,f787,f771,f4,f794,f797,f783,f800,f805,f807,f804,f806,f813,f773,f734,f827,f812,f829,f801,f835,f836,f736,f877,f880,f878,f885,f883,f886,f888,f810,f892,f825,f905,f907,f828,f908,f909,f951,f980,f981]) ).

fof(f799,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f4,f796,f792]) ).

fof(f692,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f691]) ).

fof(f691,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f21,f1,f2,f18,f3,f35,f14,f13,f11,f10,f8,f7,f5,f4,f32,f31,f29,f28,f27,f24,f15,f12,f9,f6,f30,f33,f221,f229,f231,f233,f59,f493,f496,f507,f567,f514,f510,f505,f492,f26,f682,f25,f683,f23,f684,f22,f685,f245,f230,f237,f20,f686,f19,f687,f17,f688,f16,f689,f690,f42]) ).

fof(f681,plain,
    ( spl0_7
    | spl0_7
    | spl0_8
    | spl0_7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f661,f220,f216,f41,f676,f679,f676,f676]) ).

fof(f661,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X7,identity)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f660,f604]) ).

fof(f604,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f603,f1]) ).

fof(f603,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f585,f330]) ).

fof(f585,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f238,f554]) ).

fof(f660,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X7)
        | identity != inverse(X4)
        | identity != inverse(X5)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f659,f604]) ).

fof(f659,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X5)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f658,f604]) ).

fof(f658,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != inverse(X5)
        | identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f657,f604]) ).

fof(f657,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f656,f604]) ).

fof(f656,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f655,f604]) ).

fof(f655,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f654,f604]) ).

fof(f654,plain,
    ( ! [X3,X7,X4,X5] :
        ( identity != multiply(identity,multiply(X7,identity))
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f577,f604]) ).

fof(f577,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(sk_c8,multiply(X7,sk_c8))
        | sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f576,f328]) ).

fof(f576,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f575,f328]) ).

fof(f575,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X5,sk_c8)
        | sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f574,f328]) ).

fof(f574,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f573,f234]) ).

fof(f573,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c6 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f572,f328]) ).

fof(f572,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f571,f328]) ).

fof(f571,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != sk_c7
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f570,f234]) ).

fof(f570,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c7 != sk_c6
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f569,f239]) ).

fof(f569,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f568,f328]) ).

fof(f568,plain,
    ( ! [X3,X7,X4,X5] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f567,f328]) ).

fof(f223,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f220,f216]) ).

fof(f209,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f148,f41,f37,f204,f207,f204,f204]) ).

fof(f204,plain,
    ( spl0_3
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f18,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP286-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 04:20:50 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (17458)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (17461)WARNING: value z3 for option sas not known
% 0.15/0.38  % (17459)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (17462)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (17461)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)
% 0.15/0.38  % (17460)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (17464)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)
% 0.15/0.38  % (17465)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)
% 0.15/0.38  % (17463)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [5]
% 0.22/0.45  TRYING [6]
% 0.22/0.48  % (17461)First to succeed.
% 0.22/0.49  % (17461)Refutation found. Thanks to Tanya!
% 0.22/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50  % (17461)------------------------------
% 0.22/0.50  % (17461)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.50  % (17461)Termination reason: Refutation
% 0.22/0.50  
% 0.22/0.50  % (17461)Memory used [KB]: 2066
% 0.22/0.50  % (17461)Time elapsed: 0.114 s
% 0.22/0.50  % (17461)Instructions burned: 243 (million)
% 0.22/0.50  % (17461)------------------------------
% 0.22/0.50  % (17461)------------------------------
% 0.22/0.50  % (17458)Success in time 0.137 s
%------------------------------------------------------------------------------