%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP304-1 : 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 : n027.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 11:58:30 EDT 2024

% Result   : Unsatisfiable 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  704 ( 171 unt;   0 def)
%            Number of atoms       : 2269 ( 907 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 2828 (1263   ~;1554   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   13 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  551 ( 551   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3157,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f157,f189,f621,f700,f702,f704,f707,f711,f714,f815,f817,f819,f822,f824,f828,f947,f1048,f1058,f1061,f1182,f2497,f2543,f2547,f2680,f2682,f2766,f2773,f2777,f2835,f2837,f2850,f3016,f3045,f3047,f3049,f3052,f3054,f3058,f3062,f3065,f3067,f3070,f3072,f3074,f3077,f3080,f3086,f3096,f3100,f3102,f3111,f3113,f3115,f3117,f3119,f3121,f3123,f3125,f3127,f3129,f3133,f3135,f3139,f3141,f3145,f3147,f3149,f3153,f3156]) ).

fof(f3156,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3155]) ).

fof(f3155,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3154,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f183,plain,
    ( sk_c7 != inverse(sk_c3)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2431,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X2,multiply(inverse(X1),X0))),X2),
    inference(superposition,[],[f1884,f1841]) ).

fof(f2430,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X1),X0)),multiply(inverse(X0),X1)) = X2,
    inference(superposition,[],[f1650,f1841]) ).

fof(f2429,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(inverse(X0),X1)),multiply(inverse(X1),X0)) = X2,
    inference(superposition,[],[f1530,f1841]) ).

fof(f2495,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X2))) = inverse(multiply(X2,multiply(inverse(X1),X0))),
    inference(forward_demodulation,[],[f2428,f3]) ).

fof(f2428,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X1),X0))) = multiply(multiply(inverse(X0),X1),inverse(X2)),
    inference(superposition,[],[f1514,f1841]) ).

fof(f2494,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = multiply(inverse(multiply(X1,X2)),X0),
    inference(forward_demodulation,[],[f2493,f1841]) ).

fof(f2493,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X1),X0)) = inverse(multiply(inverse(X0),multiply(X1,X2))),
    inference(forward_demodulation,[],[f2427,f3]) ).

fof(f2427,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),X2)) = multiply(inverse(X2),multiply(inverse(X1),X0)),
    inference(superposition,[],[f1510,f1841]) ).

fof(f2492,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(inverse(X1),multiply(X0,inverse(X2))),
    inference(forward_demodulation,[],[f2426,f3]) ).

fof(f2426,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X0),X1))) = multiply(multiply(inverse(X1),X0),inverse(X2)),
    inference(superposition,[],[f1510,f1841]) ).

fof(f2491,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,multiply(inverse(multiply(X0,X2)),X1)),
    inference(forward_demodulation,[],[f2490,f1841]) ).

fof(f2490,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(inverse(X1),multiply(X0,X2)))),
    inference(forward_demodulation,[],[f2425,f3]) ).

fof(f2425,plain,
    ! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(X2,inverse(multiply(multiply(inverse(X1),X0),X2))),
    inference(superposition,[],[f1436,f1841]) ).

fof(f2489,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(inverse(X1),multiply(X0,X2))) = X2,
    inference(forward_demodulation,[],[f2423,f3]) ).

fof(f2423,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X0),X1),multiply(multiply(inverse(X1),X0),X2)) = X2,
    inference(superposition,[],[f443,f1841]) ).

fof(f2422,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X0),X1),multiply(inverse(X1),X0)),
    inference(superposition,[],[f442,f1841]) ).

fof(f2488,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(forward_demodulation,[],[f2421,f463]) ).

fof(f2421,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(inverse(X1),X0))),multiply(inverse(X0),X1)),
    inference(superposition,[],[f387,f1841]) ).

fof(f2486,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(inverse(X0),multiply(X1,X2))) = X2,
    inference(forward_demodulation,[],[f2418,f3]) ).

fof(f2418,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),multiply(multiply(inverse(X0),X1),X2)) = X2,
    inference(superposition,[],[f52,f1841]) ).

fof(f2417,plain,
    ! [X0,X1] : identity = multiply(multiply(inverse(X1),X0),multiply(inverse(X0),X1)),
    inference(superposition,[],[f2,f1841]) ).

fof(f2435,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = multiply(inverse(multiply(X0,X2)),X1),
    inference(forward_demodulation,[],[f2434,f1841]) ).

fof(f2434,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(inverse(X1),multiply(X0,X2))),
    inference(forward_demodulation,[],[f2386,f3]) ).

fof(f2386,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(inverse(X0),X1)) = inverse(multiply(multiply(inverse(X1),X0),X2)),
    inference(superposition,[],[f1841,f1841]) ).

fof(f2433,plain,
    ! [X2,X0,X1] : inverse(multiply(X1,multiply(inverse(X0),X2))) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f2385,f3]) ).

fof(f2385,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X1,inverse(X0)),X2)) = multiply(inverse(X2),multiply(X0,inverse(X1))),
    inference(superposition,[],[f1841,f1514]) ).

fof(f1841,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f52,f1436]) ).

fof(f2327,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(multiply(X2,multiply(X1,inverse(X0)))),X2),
    inference(superposition,[],[f1884,f1514]) ).

fof(f2326,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X1,inverse(X0))),multiply(X0,inverse(X1))) = X2,
    inference(superposition,[],[f1650,f1514]) ).

fof(f2325,plain,
    ! [X2,X0,X1] : multiply(multiply(X2,multiply(X0,inverse(X1))),multiply(X1,inverse(X0))) = X2,
    inference(superposition,[],[f1530,f1514]) ).

fof(f2382,plain,
    ! [X2,X0,X1] : multiply(inverse(X2),multiply(X1,inverse(X0))) = inverse(multiply(X0,multiply(inverse(X1),X2))),
    inference(forward_demodulation,[],[f2324,f3]) ).

fof(f2324,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(X0,inverse(X1)),X2)) = multiply(inverse(X2),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1510,f1514]) ).

fof(f2381,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,inverse(multiply(X2,X0))),
    inference(forward_demodulation,[],[f2380,f1510]) ).

fof(f2380,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(X1,multiply(inverse(X0),inverse(X2))),
    inference(forward_demodulation,[],[f2323,f3]) ).

fof(f2323,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(X1)))) = multiply(multiply(X1,inverse(X0)),inverse(X2)),
    inference(superposition,[],[f1510,f1514]) ).

fof(f2379,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(X1,multiply(inverse(X0),X2)))),
    inference(forward_demodulation,[],[f2322,f3]) ).

fof(f2322,plain,
    ! [X2,X0,X1] : multiply(X0,inverse(X1)) = multiply(X2,inverse(multiply(multiply(X1,inverse(X0)),X2))),
    inference(superposition,[],[f1436,f1514]) ).

fof(f2378,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(X1,multiply(inverse(X0),X2))) = X2,
    inference(forward_demodulation,[],[f2320,f3]) ).

fof(f2320,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),multiply(multiply(X1,inverse(X0)),X2)) = X2,
    inference(superposition,[],[f443,f1514]) ).

fof(f2319,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f442,f1514]) ).

fof(f2377,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(forward_demodulation,[],[f2318,f463]) ).

fof(f2318,plain,
    ! [X0,X1] : identity = multiply(inverse(inverse(multiply(X1,inverse(X0)))),multiply(X0,inverse(X1))),
    inference(superposition,[],[f387,f1514]) ).

fof(f2375,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(X1),X2))) = X2,
    inference(forward_demodulation,[],[f2315,f3]) ).

fof(f2315,plain,
    ! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),multiply(multiply(X0,inverse(X1)),X2)) = X2,
    inference(superposition,[],[f52,f1514]) ).

fof(f2314,plain,
    ! [X0,X1] : identity = multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X1))),
    inference(superposition,[],[f2,f1514]) ).

fof(f2301,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X2)))) = multiply(X2,inverse(multiply(X0,X1))),
    inference(superposition,[],[f1514,f3]) ).

fof(f2330,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,inverse(multiply(X2,X1))),
    inference(forward_demodulation,[],[f2329,f1510]) ).

fof(f2329,plain,
    ! [X2,X0,X1] : inverse(multiply(X2,multiply(X1,inverse(X0)))) = multiply(X0,multiply(inverse(X1),inverse(X2))),
    inference(forward_demodulation,[],[f2286,f3]) ).

fof(f2286,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
    inference(superposition,[],[f1514,f1514]) ).

fof(f1514,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f443,f1430]) ).

fof(f2192,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = multiply(inverse(X0),multiply(inverse(X1),X2)),
    inference(superposition,[],[f3,f1510]) ).

fof(f2178,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f325,f1510]) ).

fof(f2168,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1510,f325]) ).

fof(f2157,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1510,f463]) ).

fof(f2147,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1510,f463]) ).

fof(f1510,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f52,f1430]) ).

fof(f2091,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1650,f1884]) ).

fof(f2089,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1884]) ).

fof(f2085,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1530,f1884]) ).

fof(f2073,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1884,f3]) ).

fof(f1884,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1827,f463]) ).

fof(f1827,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1436,f1430]) ).

fof(f1976,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1650,f1524]) ).

fof(f1974,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1524]) ).

fof(f1970,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1530,f1524]) ).

fof(f1944,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1524,f52]) ).

fof(f1940,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1524,f3]) ).

fof(f1937,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1524,f443]) ).

fof(f1524,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1477,f463]) ).

fof(f1477,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1430,f1430]) ).

fof(f1845,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f443,f1436]) ).

fof(f1844,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1436]) ).

fof(f1842,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1436]) ).

fof(f1840,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f535,f1436]) ).

fof(f1839,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1430,f1436]) ).

fof(f1833,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1436,f3]) ).

fof(f1828,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1436,f1436]) ).

fof(f1436,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1345,f440]) ).

fof(f1345,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f443,f535]) ).

fof(f1770,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1650]) ).

fof(f1769,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f52,f1650]) ).

fof(f1768,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f535,f1650]) ).

fof(f1767,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1430,f1650]) ).

fof(f1759,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1650,f3]) ).

fof(f1650,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1530,f463]) ).

fof(f1664,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1530]) ).

fof(f1663,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f52,f1530]) ).

fof(f1662,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f535,f1530]) ).

fof(f1661,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1430,f1530]) ).

fof(f1624,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1530,f3]) ).

fof(f1621,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1530,f443]) ).

fof(f1530,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1483,f463]) ).

fof(f1483,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1430,f52]) ).

fof(f1513,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1430]) ).

fof(f1511,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1430]) ).

fof(f1596,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1509,f463]) ).

fof(f1509,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f535,f1430]) ).

fof(f1506,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1430,f3]) ).

fof(f1481,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1430,f3]) ).

fof(f1478,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1430,f443]) ).

fof(f1430,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1340,f440]) ).

fof(f1340,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f52,f535]) ).

fof(f1434,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1343,f3]) ).

fof(f1343,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f535]) ).

fof(f1432,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1431,f1]) ).

fof(f1431,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))),
    inference(forward_demodulation,[],[f1341,f3]) ).

fof(f1341,plain,
    ! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)),
    inference(superposition,[],[f3,f535]) ).

fof(f1419,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1329,f3]) ).

fof(f1329,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f535,f3]) ).

fof(f1325,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f535,f3]) ).

fof(f1300,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f535,f3]) ).

fof(f535,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f442,f3]) ).

fof(f45,plain,
    ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0),
    inference(superposition,[],[f3,f4]) ).

fof(f417,plain,
    identity = inverse(identity),
    inference(superposition,[],[f387,f324]) ).

fof(f7,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f17,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f15,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f5,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f757,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f718]) ).

fof(f718,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f12,f34]) ).

fof(f754,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f717]) ).

fof(f717,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f10,f34]) ).

fof(f732,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f8,f45,f27,f13,f12,f34,f717,f718,f7,f721,f17,f724,f15,f727,f5,f728,f22,f731,f20]) ).

fof(f20,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f731,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f20,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f8,f45,f27,f13,f12,f34,f717,f718,f7,f721,f17,f724,f15,f727,f5,f728,f22]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f728,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f22,f20,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f8,f45,f27,f13,f12,f34,f717,f718,f7,f721,f17,f724,f15,f727,f5]) ).

fof(f727,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f8,f45,f27,f13,f12,f34,f717,f718,f7,f721,f17,f724,f15]) ).

fof(f724,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f8,f45,f27,f13,f12,f34,f717,f718,f7,f721,f17]) ).

fof(f721,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f17,f8,f45,f27,f13,f12,f34,f717,f718,f7]) ).

fof(f34,plain,
    ( sk_c5 != inverse(sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f13,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f27,plain,
    ! [X3,X6,X4] :
      ( sk_c5 != inverse(sk_c7)
      | sk_c6 != inverse(X3)
      | sk_c7 != inverse(X6)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
      | sk_c7 != multiply(X3,sk_c6) ),
    inference(global_subsumption,[],[f4,f14,f11,f13,f10,f12,f21,f24,f23,f20,f22,f6,f9,f19,f16,f8,f18,f5,f7,f15,f17,f26]) ).

fof(f8,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f18,axiom,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f322,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f52,f1]) ).

fof(f330,plain,
    sk_c6 = multiply(inverse(sk_c7),sk_c5),
    inference(superposition,[],[f52,f4]) ).

fof(f418,plain,
    identity = inverse(identity),
    inference(superposition,[],[f324,f387]) ).

fof(f462,plain,
    identity = inverse(identity),
    inference(superposition,[],[f440,f2]) ).

fof(f624,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f464,f463]) ).

fof(f464,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f440,f387]) ).

fof(f471,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f440]) ).

fof(f623,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f473,f463]) ).

fof(f473,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f387,f440]) ).

fof(f534,plain,
    identity = inverse(identity),
    inference(superposition,[],[f442,f1]) ).

fof(f540,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f442]) ).

fof(f579,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f443,f1]) ).

fof(f584,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1,f443]) ).

fof(f585,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f443]) ).

fof(f580,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f443,f3]) ).

fof(f443,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f325,f52]) ).

fof(f541,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f442]) ).

fof(f557,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f539,f1]) ).

fof(f539,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f442]) ).

fof(f442,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f325,f2]) ).

fof(f500,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f463]) ).

fof(f499,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f52,f463]) ).

fof(f463,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f440,f324]) ).

fof(f486,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f474,f440]) ).

fof(f474,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f325,f440]) ).

fof(f472,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f324,f440]) ).

fof(f482,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f465,f440]) ).

fof(f465,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f440,f325]) ).

fof(f440,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f325,f324]) ).

fof(f448,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f52,f325]) ).

fof(f447,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f52,f325]) ).

fof(f446,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f325]) ).

fof(f444,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f324,f325]) ).

fof(f325,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f52,f52]) ).

fof(f434,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f420,f1]) ).

fof(f420,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f387]) ).

fof(f419,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f52,f387]) ).

fof(f387,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f52,f324]) ).

fof(f397,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f388,f1]) ).

fof(f388,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f324]) ).

fof(f324,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f52,f2]) ).

fof(f323,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f52,f3]) ).

fof(f52,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f44,f1]) ).

fof(f44,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f24,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f21,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f6,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f23,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c4 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

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

fof(f11,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

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

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

fof(f4,axiom,
    multiply(sk_c7,sk_c6) = sk_c5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f26,plain,
    ! [X3,X6,X4] :
      ( sk_c5 != inverse(sk_c7)
      | sk_c6 != inverse(X3)
      | sk_c7 != inverse(X6)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
      | sk_c7 != multiply(X3,sk_c6)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    inference(equality_resolution,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != inverse(sk_c7)
      | sk_c6 != inverse(X3)
      | sk_c7 != inverse(X6)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c6 != multiply(sk_c7,X5)
      | sk_c7 != multiply(X3,sk_c6)
      | multiply(sk_c7,sk_c6) != sk_c5
      | multiply(X6,sk_c7) != X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f10,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f14,axiom,
    ( sk_c5 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f3154,plain,
    ( sk_c7 != inverse(sk_c7)
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f34,f1071]) ).

fof(f1071,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1063,f440]) ).

fof(f1063,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f4,f946]) ).

fof(f946,plain,
    ( identity = sk_c6
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f944,plain,
    ( spl0_9
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3153,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3152]) ).

fof(f3152,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3151,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3151,plain,
    ( sk_c7 != sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f634,f1071]) ).

fof(f634,plain,
    ( sk_c5 != sk_c2
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f34,f492]) ).

fof(f492,plain,
    ( sk_c2 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f463,f31]) ).

fof(f31,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3149,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3148]) ).

fof(f3148,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1181,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f1181,plain,
    ( identity = sk_c7
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1179,plain,
    ( spl0_11
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f3147,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3146]) ).

fof(f3146,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2016,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f2016,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2015,f2]) ).

fof(f2015,plain,
    ( inverse(sk_c2) = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1956,f1181]) ).

fof(f1956,plain,
    ( inverse(sk_c2) = multiply(inverse(identity),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1524,f158]) ).

fof(f158,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f31]) ).

fof(f3145,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3144]) ).

fof(f3144,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3143,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3143,plain,
    ( identity = sk_c7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3142,f946]) ).

fof(f3142,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1227,f1071]) ).

fof(f1227,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1194,f440]) ).

fof(f1194,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f942,f1181]) ).

fof(f942,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f940,plain,
    ( spl0_8
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3141,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3140]) ).

fof(f3140,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1216,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f1216,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1189,f417]) ).

fof(f1189,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f492,f1181]) ).

fof(f3139,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3138]) ).

fof(f3138,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3137,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3137,plain,
    ( identity = sk_c7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3136,f946]) ).

fof(f3136,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1198,f1071]) ).

fof(f1198,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1183,f1]) ).

fof(f1183,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_11 ),
    inference(superposition,[],[f4,f1181]) ).

fof(f3135,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3134]) ).

fof(f3134,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2719,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f2719,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1177,f1181]) ).

fof(f1177,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1175,plain,
    ( spl0_10
  <=> identity = multiply(sk_c7,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3133,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3132]) ).

fof(f3132,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3131,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3131,plain,
    ( identity = sk_c7
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3130,f946]) ).

fof(f3130,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2720,f1071]) ).

fof(f2720,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2705,f1]) ).

fof(f2705,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_11 ),
    inference(superposition,[],[f4,f1181]) ).

fof(f3129,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3128]) ).

fof(f3128,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2857,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f2857,plain,
    ( identity = inverse(sk_c4)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2660,f1181]) ).

fof(f2660,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2659,f1]) ).

fof(f2659,plain,
    ( multiply(identity,sk_c7) = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2650,f417]) ).

fof(f2650,plain,
    ( multiply(inverse(identity),sk_c7) = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(superposition,[],[f1524,f1177]) ).

fof(f3127,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3126]) ).

fof(f3126,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f3017,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3017,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f19,f738]) ).

fof(f738,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f442,f188]) ).

fof(f188,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl0_6
  <=> sk_c6 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3125,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3124]) ).

fof(f3124,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f3023,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3023,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f16,f738]) ).

fof(f3123,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3122]) ).

fof(f3122,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f3027,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3027,plain,
    ( identity = sk_c7
    | sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f18,f738]) ).

fof(f3121,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3120]) ).

fof(f3120,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3038,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3038,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c2,sk_c7)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3037,f738]) ).

fof(f3037,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f15,f946]) ).

fof(f3119,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3118]) ).

fof(f3118,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3117,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3116]) ).

fof(f3116,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2669,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f2669,plain,
    ( sk_c2 = sk_c4
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2668,f440]) ).

fof(f2668,plain,
    ( sk_c4 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2654,f492]) ).

fof(f2654,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_10 ),
    inference(superposition,[],[f52,f1177]) ).

fof(f3115,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3114]) ).

fof(f3114,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3056,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3056,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3055,f946]) ).

fof(f3055,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1699,f1071]) ).

fof(f1699,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1642,f492]) ).

fof(f1642,plain,
    ( sk_c6 = multiply(sk_c5,inverse(sk_c7))
    | ~ spl0_8 ),
    inference(superposition,[],[f1530,f942]) ).

fof(f3113,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3112]) ).

fof(f3112,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2663,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f2663,plain,
    ( sk_c2 = sk_c4
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2662,f492]) ).

fof(f2662,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2661,f440]) ).

fof(f2661,plain,
    ( inverse(sk_c7) = multiply(sk_c4,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2652,f417]) ).

fof(f2652,plain,
    ( inverse(sk_c7) = multiply(sk_c4,inverse(identity))
    | ~ spl0_10 ),
    inference(superposition,[],[f1430,f1177]) ).

fof(f3111,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3110]) ).

fof(f3110,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f31,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3102,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3101]) ).

fof(f3101,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2654,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3100,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3099]) ).

fof(f3099,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2662,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3096,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3095]) ).

fof(f3095,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3094,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3094,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4) )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3093,f946]) ).

fof(f3093,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c7,multiply(X6,sk_c7))
        | identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3092,f946]) ).

fof(f3092,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3091,f946]) ).

fof(f3091,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f3090,f1071]) ).

fof(f3090,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != sk_c5
        | identity != inverse(X3)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3089,f1]) ).

fof(f3089,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(identity,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3088,f946]) ).

fof(f3088,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(sk_c7)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3087,f946]) ).

fof(f3087,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != inverse(sk_c7)
        | sk_c6 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f27,f1071]) ).

fof(f3086,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3085]) ).

fof(f3085,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3084,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3084,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | sk_c7 = inverse(sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3083,f946]) ).

fof(f3083,plain,
    ( sk_c7 = inverse(sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f10,f1071]) ).

fof(f3080,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3079]) ).

fof(f3079,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3078,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3078,plain,
    ( sk_c7 = inverse(sk_c7)
    | sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f13,f1071]) ).

fof(f3077,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3076]) ).

fof(f3076,plain,
    ( $false
    | spl0_2
    | spl0_5
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3075,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3075,plain,
    ( sk_c7 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c3)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f14,f1071]) ).

fof(f3074,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3073]) ).

fof(f3073,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f492,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f34,f721,f724,f727,f728,f22,f731,f20,f732,f717,f754,f718,f757,f5,f15,f17,f7,f417,f45,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f183]) ).

fof(f3072,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3071]) ).

fof(f3071,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f31,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f1180,plain,
    ( identity != sk_c7
    | spl0_11 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f3028,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f1180,f3017,f3018,f3023,f3024,f3027]) ).

fof(f3024,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f1180,f3017,f3018,f3023]) ).

fof(f3018,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f1180,f3017]) ).

fof(f993,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f984,f740]) ).

fof(f984,plain,
    ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(inverse(sk_c6),X0)),
    inference(superposition,[],[f45,f443]) ).

fof(f992,plain,
    ( sk_c7 = multiply(sk_c5,sk_c1)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f991,f440]) ).

fof(f991,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c5,sk_c1)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f983,f740]) ).

fof(f983,plain,
    multiply(sk_c7,identity) = multiply(sk_c5,inverse(sk_c6)),
    inference(superposition,[],[f45,f442]) ).

fof(f980,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f45,f734]) ).

fof(f988,plain,
    ( sk_c7 = multiply(sk_c5,sk_c1)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f979,f440]) ).

fof(f979,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c5,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f45,f733]) ).

fof(f739,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f443,f188]) ).

fof(f734,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f52,f188]) ).

fof(f878,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f876,f1]) ).

fof(f876,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f738]) ).

fof(f767,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f765,f1]) ).

fof(f765,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f733]) ).

fof(f733,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f188]) ).

fof(f748,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f443,f740]) ).

fof(f747,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f442,f740]) ).

fof(f751,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f746,f463]) ).

fof(f746,plain,
    ( identity = multiply(inverse(inverse(sk_c1)),sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f387,f740]) ).

fof(f743,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f52,f740]) ).

fof(f742,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f740]) ).

fof(f740,plain,
    ( sk_c1 = inverse(sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f463,f188]) ).

fof(f741,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f737,f463]) ).

fof(f737,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f387,f188]) ).

fof(f736,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f325,f188]) ).

fof(f735,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f324,f188]) ).

fof(f3070,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3069]) ).

fof(f3069,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f3068,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3068,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f466,f1071]) ).

fof(f466,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f440,f162]) ).

fof(f162,plain,
    ( sk_c2 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f158]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f48,f1]) ).

fof(f48,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f37]) ).

fof(f37,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f35]) ).

fof(f35,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f3067,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3066]) ).

fof(f3066,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f2663,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3065,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3064]) ).

fof(f3064,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3063,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3063,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2664,f1071]) ).

fof(f2664,plain,
    ( sk_c5 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2663,f466]) ).

fof(f3062,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3061]) ).

fof(f3061,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f3060,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3060,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3059,f1071]) ).

fof(f3059,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f492,f35]) ).

fof(f3058,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3057]) ).

fof(f3057,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f3056,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3054,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3053]) ).

fof(f3053,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f2669,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3052,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3051]) ).

fof(f3051,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3050,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3050,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2670,f1071]) ).

fof(f2670,plain,
    ( sk_c5 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2669,f466]) ).

fof(f3049,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3048]) ).

fof(f3048,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f2671,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f2671,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2670,f1071]) ).

fof(f3047,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3046]) ).

fof(f3046,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1099,f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f1099,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f1076,f492]) ).

fof(f1076,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f491,f1071]) ).

fof(f491,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f463,f35]) ).

fof(f3045,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3044]) ).

fof(f3044,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f330,f322,f18,f8,f27,f13,f12,f22,f20,f188,f735,f736,f741,f740,f742,f743,f751,f747,f748,f733,f767,f5,f15,f17,f7,f738,f878,f417,f734,f739,f45,f988,f980,f992,f993,f535,f1300,f1325,f1419,f1432,f1434,f1430,f1478,f1481,f1506,f1596,f1511,f1513,f1530,f1621,f1624,f1661,f1662,f1663,f1664,f1650,f1759,f1767,f1768,f1769,f1770,f1436,f1828,f1833,f1839,f1840,f1842,f1844,f1845,f1524,f1937,f1940,f1944,f1970,f1974,f1976,f1884,f2073,f2085,f2089,f2091,f1510,f2147,f2157,f2168,f2178,f2192,f1514,f2330,f2301,f2314,f2375,f2377,f2319,f2378,f2379,f2381,f2382,f2325,f2326,f2327,f1841,f2433,f2435,f2417,f2486,f2488,f2422,f2489,f2491,f2492,f2494,f2495,f2429,f2430,f2431,f3017,f3018,f3023,f3024,f3027,f3028,f1180,f183]) ).

fof(f3016,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f3000,f155,f619]) ).

fof(f619,plain,
    ( spl0_7
  <=> ! [X6] :
        ( identity != multiply(identity,X6)
        | identity != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f155,plain,
    ( spl0_4
  <=> ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(identity,multiply(X6,identity)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3000,plain,
    ( ! [X6] :
        ( identity != multiply(identity,X6)
        | identity != inverse(X6) )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f156,f440]) ).

fof(f156,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(identity,multiply(X6,identity)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f2850,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2849]) ).

fof(f2849,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2848,f463]) ).

fof(f2848,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2831,f1430]) ).

fof(f2831,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2830]) ).

fof(f2830,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_7 ),
    inference(superposition,[],[f620,f535]) ).

fof(f620,plain,
    ( ! [X6] :
        ( identity != multiply(identity,X6)
        | identity != inverse(X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f2837,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2836]) ).

fof(f2836,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2832,f463]) ).

fof(f2832,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2826]) ).

fof(f2826,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f620,f442]) ).

fof(f2835,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f2834]) ).

fof(f2834,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2833,f417]) ).

fof(f2833,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f2825]) ).

fof(f2825,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f620,f440]) ).

fof(f2777,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2776]) ).

fof(f2776,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2775,f463]) ).

fof(f2775,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2762,f463]) ).

fof(f2762,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2758]) ).

fof(f2758,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(superposition,[],[f153,f387]) ).

fof(f153,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl0_3
  <=> ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2773,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2772]) ).

fof(f2772,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2763,f463]) ).

fof(f2763,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2756]) ).

fof(f2756,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f153,f2]) ).

fof(f2766,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f2765]) ).

fof(f2765,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2764,f417]) ).

fof(f2764,plain,
    ( identity != inverse(identity)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f2753]) ).

fof(f2753,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f153,f1]) ).

fof(f2682,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2681]) ).

fof(f2681,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2677,f1180]) ).

fof(f2677,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2671,f2675]) ).

fof(f2675,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2640,f1180]) ).

fof(f2640,plain,
    ( identity = sk_c7
    | identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2639,f738]) ).

fof(f2639,plain,
    ( identity = sk_c4
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2638,f847]) ).

fof(f847,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f35]) ).

fof(f2638,plain,
    ( sk_c4 = multiply(sk_c5,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f725,f466]) ).

fof(f725,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f18,f645]) ).

fof(f645,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f493,f492]) ).

fof(f493,plain,
    ( sk_c3 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f463,f184]) ).

fof(f184,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f2680,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2679]) ).

fof(f2679,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2676,f1180]) ).

fof(f2676,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2675,f2671]) ).

fof(f2547,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2546]) ).

fof(f2546,plain,
    ( $false
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2545,f1071]) ).

fof(f2545,plain,
    ( sk_c7 != sk_c5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2544,f1]) ).

fof(f2544,plain,
    ( sk_c5 != multiply(identity,sk_c7)
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f941,f946]) ).

fof(f941,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f2543,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2542]) ).

fof(f2542,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2541,f1181]) ).

fof(f2541,plain,
    ( identity != sk_c7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2540,f946]) ).

fof(f2540,plain,
    ( sk_c7 != sk_c6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2539,f1071]) ).

fof(f2539,plain,
    ( sk_c6 != sk_c5
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2538,f440]) ).

fof(f2538,plain,
    ( sk_c5 != multiply(sk_c6,identity)
    | spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f941,f1181]) ).

fof(f2497,plain,
    ( spl0_3
    | spl0_7
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2145,f1179,f944,f940,f33,f29,f152,f619,f152]) ).

fof(f2145,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2144,f1181]) ).

fof(f2144,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2143,f946]) ).

fof(f2143,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2142,f946]) ).

fof(f2142,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,X6)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2141,f440]) ).

fof(f2141,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2140,f1181]) ).

fof(f2140,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2139,f946]) ).

fof(f2139,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2138,f1181]) ).

fof(f2138,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2137,f1181]) ).

fof(f2137,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2136,f1181]) ).

fof(f2136,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2135,f946]) ).

fof(f2135,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f837,f942]) ).

fof(f837,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f836,f14,f10,f26,f4,f1,f2,f11,f35,f37,f3,f78,f23,f19,f16,f9,f6,f21,f54,f161,f165,f24,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f8,f27,f13,f12,f22,f20,f45,f5,f15,f17,f7]) ).

fof(f165,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f161]) ).

fof(f161,plain,
    ( sk_c6 = multiply(sk_c5,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f4]) ).

fof(f78,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f27,f35]) ).

fof(f836,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != sk_c2
        | sk_c6 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f27,f492]) ).

fof(f1182,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f1138,f944,f186,f1179,f1175]) ).

fof(f1138,plain,
    ( identity = sk_c7
    | identity = multiply(sk_c7,sk_c4)
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1137,f738]) ).

fof(f1137,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f17,f946]) ).

fof(f1061,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1060]) ).

fof(f1060,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1046,f945]) ).

fof(f945,plain,
    ( identity != sk_c6
    | spl0_9 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f1046,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f1014,f1015]) ).

fof(f1015,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1003,f417]) ).

fof(f1003,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f35,f1001]) ).

fof(f1001,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1000,f738]) ).

fof(f1000,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_9 ),
    inference(subsumption_resolution,[],[f999,f945]) ).

fof(f999,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f998,f847]) ).

fof(f998,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f15,f466]) ).

fof(f1014,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1002,f1]) ).

fof(f1002,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f4,f1001]) ).

fof(f1058,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1057]) ).

fof(f1057,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1056,f945]) ).

fof(f1056,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1044,f1]) ).

fof(f1044,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f897,f1015]) ).

fof(f897,plain,
    ( sk_c6 = multiply(sk_c5,sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f896,f466]) ).

fof(f896,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f330,f492]) ).

fof(f1048,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1047]) ).

fof(f1047,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(subsumption_resolution,[],[f1038,f945]) ).

fof(f1038,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f1015,f1014]) ).

fof(f947,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f906,f33,f29,f944,f940]) ).

fof(f906,plain,
    ( identity = sk_c6
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f905,f847]) ).

fof(f905,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f5,f466]) ).

fof(f828,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f827]) ).

fof(f827,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f720,f7,f721,f722,f723,f17,f724,f725,f726,f15,f727,f5,f728,f729,f730,f22,f731,f20,f732,f717,f752,f754,f718,f758,f757,f759,f760,f769,f772,f771,f768,f755,f775,f776,f778,f773,f786,f783,f784,f774,f791,f779,f797,f798,f792,f813,f802,f803,f820,f805,f826]) ).

fof(f826,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f825,f792]) ).

fof(f825,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f806,f773]) ).

fof(f806,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f717,f792]) ).

fof(f805,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f492,f792]) ).

fof(f820,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f804,f645]) ).

fof(f804,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f190,f792]) ).

fof(f803,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f160,f792]) ).

fof(f802,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f158,f792]) ).

fof(f813,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f812,f792]) ).

fof(f812,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f811,f773]) ).

fof(f811,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f801,f768]) ).

fof(f801,plain,
    ( sk_c5 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f34,f792]) ).

fof(f792,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f779,f773]) ).

fof(f798,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f773,f779]) ).

fof(f797,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f760,f779]) ).

fof(f779,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f777,f2]) ).

fof(f777,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f52,f755]) ).

fof(f791,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f790,f773]) ).

fof(f790,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f45,f768]) ).

fof(f774,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f755,f4]) ).

fof(f784,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f760,f773]) ).

fof(f783,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f755,f773]) ).

fof(f786,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f785,f773]) ).

fof(f785,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f780,f768]) ).

fof(f780,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f4,f773]) ).

fof(f773,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f755,f760]) ).

fof(f778,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f3,f755]) ).

fof(f776,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f4,f755]) ).

fof(f775,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f760,f755]) ).

fof(f755,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f753,f31]) ).

fof(f753,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f52,f717]) ).

fof(f768,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f760,f4]) ).

fof(f771,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f760]) ).

fof(f772,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f770,f492]) ).

fof(f770,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f52,f760]) ).

fof(f769,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f4,f760]) ).

fof(f760,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f718,f759]) ).

fof(f759,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f720,f717]) ).

fof(f758,plain,
    ( sk_c4 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f756,f492]) ).

fof(f756,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f52,f718]) ).

fof(f752,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f160,f717]) ).

fof(f730,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f717,f718,f720,f7,f721,f722,f723,f17,f724,f725,f726,f15,f727,f5,f728,f729]) ).

fof(f729,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f23,f645]) ).

fof(f726,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f717,f718,f720,f7,f721,f722,f723,f17,f724,f725]) ).

fof(f723,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f17,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f717,f718,f720,f7,f721,f722]) ).

fof(f722,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f8,f645]) ).

fof(f720,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f719,f645]) ).

fof(f719,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f13,f34]) ).

fof(f644,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f639,f463]) ).

fof(f639,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f387,f492]) ).

fof(f636,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f52,f492]) ).

fof(f635,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f492]) ).

fof(f194,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f192,f1]) ).

fof(f192,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f190]) ).

fof(f321,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f52,f184]) ).

fof(f327,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f52,f160]) ).

fof(f331,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f52,f158]) ).

fof(f333,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f52,f190]) ).

fof(f385,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f324,f31]) ).

fof(f386,plain,
    ( sk_c3 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f324,f184]) ).

fof(f438,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f325,f31]) ).

fof(f439,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f325,f184]) ).

fof(f532,plain,
    ( identity = multiply(sk_c2,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f442,f31]) ).

fof(f533,plain,
    ( identity = multiply(sk_c3,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f442,f184]) ).

fof(f570,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f443,f31]) ).

fof(f571,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f443,f184]) ).

fof(f190,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f184]) ).

fof(f160,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f159,f1]) ).

fof(f159,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f158]) ).

fof(f824,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f823]) ).

fof(f823,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f720,f7,f721,f722,f723,f17,f724,f725,f726,f15,f727,f5,f728,f729,f730,f22,f731,f20,f732,f717,f752,f754,f718,f758,f757,f759,f760,f769,f772,f771,f768,f755,f775,f776,f778,f773,f786,f783,f784,f774,f791,f779,f797,f798,f792,f813,f802,f803,f820,f805]) ).

fof(f822,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f821,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f720,f7,f721,f722,f723,f17,f724,f725,f726,f15,f727,f5,f728,f729,f730,f22,f731,f20,f732,f717,f752,f754,f718,f758,f757,f759,f760,f769,f772,f771,f768,f755,f775,f776,f778,f773,f786,f783,f784,f774,f791,f779,f797,f798,f792,f813,f802,f803,f820]) ).

fof(f819,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f818]) ).

fof(f818,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f720,f7,f721,f722,f723,f17,f724,f725,f726,f15,f727,f5,f728,f729,f730,f22,f731,f20,f732,f717,f752,f754,f718,f758,f757,f759,f760,f769,f772,f771,f768,f755,f775,f776,f778,f773,f786,f783,f784,f774,f791,f779,f797,f798,f792,f813,f802,f803]) ).

fof(f817,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f816]) ).

fof(f816,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f720,f7,f721,f722,f723,f17,f724,f725,f726,f15,f727,f5,f728,f729,f730,f22,f731,f20,f732,f717,f752,f754,f718,f758,f757,f759,f760,f769,f772,f771,f768,f755,f775,f776,f778,f773,f786,f783,f784,f774,f791,f779,f797,f798,f792,f813,f802]) ).

fof(f815,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f814]) ).

fof(f814,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f23,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f190,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f8,f45,f194,f27,f13,f12,f34,f492,f635,f636,f644,f634,f645,f720,f7,f721,f722,f723,f17,f724,f725,f726,f15,f727,f5,f728,f729,f730,f22,f731,f20,f732,f717,f752,f754,f718,f758,f757,f759,f760,f769,f772,f771,f768,f755,f775,f776,f778,f773,f786,f783,f784,f774,f791,f779,f797,f798,f792,f813]) ).

fof(f714,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f713]) ).

fof(f713,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f187,f190,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f201,f194,f27,f13,f632,f12,f633,f34,f492,f635,f636,f644,f634,f645,f205,f650,f649,f652,f653,f661,f664,f663,f660,f627,f667,f668,f670,f665,f676,f673,f674,f666,f671,f682,f683,f679,f698,f687,f688,f705,f709,f692]) ).

fof(f692,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f492,f679]) ).

fof(f709,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f708,f679]) ).

fof(f708,plain,
    ( sk_c7 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f690,f665]) ).

fof(f690,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f198,f679]) ).

fof(f705,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f689,f645]) ).

fof(f689,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f190,f679]) ).

fof(f688,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f160,f679]) ).

fof(f687,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f158,f679]) ).

fof(f698,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f697,f679]) ).

fof(f697,plain,
    ( sk_c7 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f696,f665]) ).

fof(f696,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f686,f660]) ).

fof(f686,plain,
    ( sk_c5 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f34,f679]) ).

fof(f679,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f671,f665]) ).

fof(f683,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f665,f671]) ).

fof(f682,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f653,f671]) ).

fof(f671,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f669,f2]) ).

fof(f669,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f52,f627]) ).

fof(f666,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f627,f4]) ).

fof(f674,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f653,f665]) ).

fof(f673,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f627,f665]) ).

fof(f676,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f675,f665]) ).

fof(f675,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f672,f660]) ).

fof(f672,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f4,f665]) ).

fof(f665,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f627,f653]) ).

fof(f670,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f3,f627]) ).

fof(f668,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f4,f627]) ).

fof(f667,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f653,f627]) ).

fof(f627,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f339,f31]) ).

fof(f339,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f52,f198]) ).

fof(f660,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f653,f4]) ).

fof(f663,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f3,f653]) ).

fof(f664,plain,
    ( sk_c6 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f662,f492]) ).

fof(f662,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f52,f653]) ).

fof(f661,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f4,f653]) ).

fof(f653,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f205,f652]) ).

fof(f652,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f651,f198]) ).

fof(f651,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f236,f645]) ).

fof(f649,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f205]) ).

fof(f650,plain,
    ( sk_c4 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f648,f492]) ).

fof(f648,plain,
    ( sk_c4 = multiply(inverse(sk_c7),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f52,f205]) ).

fof(f205,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f22,f187]) ).

fof(f633,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f187,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f205,f27,f13,f632,f12]) ).

fof(f632,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f12,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f187,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f205,f27,f13]) ).

fof(f201,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | spl0_6 ),
    inference(superposition,[],[f160,f198]) ).

fof(f236,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f23,f187]) ).

fof(f202,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f198]) ).

fof(f631,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f13,f10,f12,f26,f27,f4,f1,f2,f11,f3,f45,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f187,f198,f202,f205,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f628,f17,f629,f8,f630,f7]) ).

fof(f630,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f13,f10,f12,f26,f27,f4,f1,f2,f11,f3,f45,f15,f7,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f187,f198,f202,f205,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f628,f17,f629,f8]) ).

fof(f629,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f13,f10,f12,f26,f27,f4,f1,f2,f11,f3,f45,f15,f8,f7,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f187,f198,f202,f205,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18,f628,f17]) ).

fof(f628,plain,
    ( sk_c4 = multiply(sk_c3,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f13,f10,f12,f26,f27,f4,f1,f2,f11,f3,f45,f17,f15,f8,f7,f5,f23,f22,f20,f19,f16,f9,f6,f21,f24,f187,f198,f202,f205,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f540,f534,f623,f471,f624,f462,f418,f417,f330,f322,f18]) ).

fof(f198,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f20,f187]) ).

fof(f187,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f711,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f710]) ).

fof(f710,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f187,f190,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f201,f194,f27,f13,f632,f12,f633,f34,f492,f635,f636,f644,f634,f645,f205,f650,f649,f652,f653,f661,f664,f663,f660,f627,f667,f668,f670,f665,f676,f673,f674,f666,f671,f682,f683,f679,f698,f687,f688,f705,f709]) ).

fof(f707,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f706]) ).

fof(f706,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f187,f190,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f201,f194,f27,f13,f632,f12,f633,f34,f492,f635,f636,f644,f634,f645,f205,f650,f649,f652,f653,f661,f664,f663,f660,f627,f667,f668,f670,f665,f676,f673,f674,f666,f671,f682,f683,f679,f698,f687,f688,f705]) ).

fof(f704,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f703]) ).

fof(f703,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f187,f190,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f201,f194,f27,f13,f632,f12,f633,f34,f492,f635,f636,f644,f634,f645,f205,f650,f649,f652,f653,f661,f664,f663,f660,f627,f667,f668,f670,f665,f676,f673,f674,f666,f671,f682,f683,f679,f698,f687,f688]) ).

fof(f702,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f701]) ).

fof(f701,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f187,f190,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f201,f194,f27,f13,f632,f12,f633,f34,f492,f635,f636,f644,f634,f645,f205,f650,f649,f652,f653,f661,f664,f663,f660,f627,f667,f668,f670,f665,f676,f673,f674,f666,f671,f682,f683,f679,f698,f687]) ).

fof(f700,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f699]) ).

fof(f699,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(global_subsumption,[],[f14,f10,f26,f4,f1,f2,f11,f3,f15,f5,f23,f22,f20,f19,f16,f9,f6,f21,f31,f158,f160,f24,f184,f187,f190,f198,f52,f323,f324,f397,f387,f419,f434,f325,f444,f446,f447,f448,f440,f482,f472,f486,f463,f499,f500,f442,f535,f557,f541,f443,f580,f585,f584,f579,f571,f570,f540,f534,f533,f532,f493,f623,f471,f624,f462,f439,f438,f418,f417,f386,f385,f333,f331,f330,f327,f322,f321,f18,f628,f17,f629,f8,f630,f7,f631,f202,f45,f236,f201,f194,f27,f13,f632,f12,f633,f34,f492,f635,f636,f644,f634,f645,f205,f650,f649,f652,f653,f661,f664,f663,f660,f627,f667,f668,f670,f665,f676,f673,f674,f666,f671,f682,f683,f679,f698]) ).

fof(f621,plain,
    ( spl0_3
    | spl0_3
    | spl0_7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f527,f186,f182,f33,f29,f619,f152,f152]) ).

fof(f527,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,X6)
        | identity != multiply(X3,identity)
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f411,f440]) ).

fof(f411,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f410,f240]) ).

fof(f240,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f239,f230]) ).

fof(f230,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f224,f228]) ).

fof(f228,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f227,f213]) ).

fof(f213,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f209,f175]) ).

fof(f175,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f171,f37]) ).

fof(f171,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f160,f168]) ).

fof(f168,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f160]) ).

fof(f209,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f162,f207]) ).

fof(f207,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f206,f175]) ).

fof(f206,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f4,f203]) ).

fof(f203,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f199,f37]) ).

fof(f199,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f198,f168]) ).

fof(f227,plain,
    ( sk_c2 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f225,f162]) ).

fof(f225,plain,
    ( sk_c4 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f54,f224]) ).

fof(f224,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f205,f203]) ).

fof(f239,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f238,f213]) ).

fof(f238,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f237,f228]) ).

fof(f237,plain,
    ( multiply(sk_c2,sk_c7) = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f236,f193]) ).

fof(f193,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f191,f162]) ).

fof(f191,plain,
    ( sk_c3 = multiply(sk_c5,identity)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f54,f190]) ).

fof(f410,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f409,f203]) ).

fof(f409,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f408,f203]) ).

fof(f408,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(identity,multiply(X6,identity))
        | identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f407,f240]) ).

fof(f407,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f406,f203]) ).

fof(f406,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != multiply(X4,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f405,f240]) ).

fof(f405,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f404,f240]) ).

fof(f404,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c7
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f403,f207]) ).

fof(f403,plain,
    ( ! [X3,X6,X4] :
        ( identity != sk_c5
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f402,f1]) ).

fof(f402,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(identity,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f401,f203]) ).

fof(f401,plain,
    ( ! [X3,X6,X4] :
        ( sk_c5 != multiply(sk_c6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f400,f240]) ).

fof(f400,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f399,f240]) ).

fof(f399,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f398,f240]) ).

fof(f398,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f78,f203]) ).

fof(f189,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f24,f186,f182]) ).

fof(f157,plain,
    ( spl0_3
    | spl0_4
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f126,f33,f29,f152,f155,f152]) ).

fof(f126,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f87]) ).

fof(f87,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f77,f63]) ).

fof(f63,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f40]) ).

fof(f40,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f30]) ).

fof(f30,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f61,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f37,f58]) ).

fof(f58,plain,
    ( sk_c6 = sk_c5
    | spl0_1 ),
    inference(superposition,[],[f55,f40]) ).

fof(f55,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f53,f41]) ).

fof(f41,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f30]) ).

fof(f53,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f46,f1]) ).

fof(f46,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f39]) ).

fof(f39,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | spl0_1 ),
    inference(superposition,[],[f2,f38]) ).

fof(f38,plain,
    ( sk_c6 = inverse(sk_c1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f21,f30]) ).

fof(f77,plain,
    ( sk_c7 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f70,f1]) ).

fof(f70,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f40,f62]) ).

fof(f62,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f55]) ).

fof(f125,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X6)
        | identity != multiply(X4,identity)
        | identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X3,identity)
        | identity != inverse(X3)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f87]) ).

fof(f124,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,identity)
        | identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X3,identity)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f87]) ).

fof(f123,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(identity,multiply(X6,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f87]) ).

fof(f122,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f83,f87]) ).

fof(f83,plain,
    ( ! [X3,X6,X4] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(sk_c7,multiply(X6,sk_c7))
        | identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f82,f62]) ).

fof(f82,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(sk_c7,multiply(X6,sk_c7))
        | identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c7 != multiply(X3,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f81,f62]) ).

fof(f81,plain,
    ( ! [X3,X6,X4] :
        ( identity != multiply(X4,sk_c7)
        | identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f80,f62]) ).

fof(f80,plain,
    ( ! [X3,X6,X4] :
        ( identity != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f79,f62]) ).

fof(f79,plain,
    ( ! [X3,X6,X4] :
        ( sk_c6 != inverse(X3)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7)
        | sk_c6 != multiply(sk_c7,multiply(X6,sk_c7))
        | sk_c7 != multiply(X3,sk_c6) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f78,f40]) ).

fof(f36,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f11,f33,f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP304-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 04:52:02 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (28415)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (28417)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (28418)WARNING: value z3 for option sas not known
% 0.14/0.38  % (28416)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (28419)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (28418)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)
% 0.14/0.38  % (28420)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)
% 0.14/0.38  % (28422)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)
% 0.14/0.38  % (28421)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [5]
% 0.21/0.44  TRYING [6]
% 0.21/0.44  % (28418)First to succeed.
% 0.21/0.45  % (28418)Refutation found. Thanks to Tanya!
% 0.21/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46  % (28418)------------------------------
% 0.21/0.46  % (28418)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.46  % (28418)Termination reason: Refutation
% 0.21/0.46  
% 0.21/0.46  % (28418)Memory used [KB]: 1674
% 0.21/0.46  % (28418)Time elapsed: 0.076 s
% 0.21/0.46  % (28418)Instructions burned: 147 (million)
% 0.21/0.46  % (28418)------------------------------
% 0.21/0.46  % (28418)------------------------------
% 0.21/0.46  % (28415)Success in time 0.085 s
%------------------------------------------------------------------------------