%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP261-1 : 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 : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:55:37 EDT 2024

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   44
% Syntax   : Number of formulae    : 1411 (  14 unt;   0 def)
%            Number of atoms       : 6543 (1315 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives : 9313 (4181   ~;5122   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   12 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  186 ( 186   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2407,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f92,f210,f214,f297,f356,f659,f667,f673,f678,f683,f688,f694,f698,f702,f704,f707,f710,f716,f723,f742,f977,f983,f988,f993,f998,f1004,f1008,f1012,f1014,f1017,f1020,f1026,f1033,f1205,f1213,f1219,f1249,f1301,f1378,f1381,f1384,f1387,f1391,f1396,f1401,f1404,f1406,f1409,f1412,f1414,f1416,f1418,f1420,f1424,f1430,f1435,f1437,f1440,f1506,f1508,f1510,f1512,f1514,f1516,f1518,f1520,f1522,f1524,f1526,f1528,f1530,f1533,f1535,f1539,f1545,f1547,f1549,f1551,f1554,f1666,f1671,f1675,f1679,f1681,f1684,f1687,f1693,f1716,f1721,f1725,f1729,f1731,f1734,f1737,f1743,f1781,f1786,f1793,f1836,f1849,f1851,f1853,f1857,f1861,f1866,f1869,f1871,f1873,f1875,f1877,f1881,f1883,f1886,f1888,f1892,f2038,f2041,f2044,f2049,f2054,f2058,f2062,f2155,f2158,f2161,f2163,f2165,f2167,f2169,f2171,f2173,f2175,f2177,f2179,f2181,f2183,f2185,f2187,f2189,f2191,f2193,f2195,f2197,f2199,f2201,f2203,f2205,f2207,f2209,f2211,f2213,f2218,f2223,f2226,f2229,f2231,f2233,f2236,f2241,f2245,f2250,f2254,f2258,f2262,f2265,f2267,f2269,f2272,f2274,f2276,f2278,f2280,f2282,f2284,f2286,f2288,f2290,f2292,f2294,f2296,f2298,f2301,f2303,f2305,f2307,f2310,f2312,f2319,f2323,f2326,f2330,f2333,f2339,f2344,f2349,f2355,f2359,f2363,f2365,f2370,f2373,f2375,f2378,f2383,f2385,f2388,f2390,f2392,f2396,f2399,f2402,f2404,f2406]) ).

fof(f2406,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2405]) ).

fof(f2405,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f355,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f16,f17,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24,f26,f20,f740]) ).

fof(f740,plain,
    ( identity != sk_c7
    | spl0_10 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f739,plain,
    ( spl0_10
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f20,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c2)
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f179,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f161,f2]) ).

fof(f161,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f67]) ).

fof(f45,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f37]) ).

fof(f47,plain,
    ( sk_c6 = inverse(sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f37]) ).

fof(f184,plain,
    ( identity = sk_c6
    | spl0_1 ),
    inference(forward_demodulation,[],[f168,f2]) ).

fof(f168,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f61,f71]) ).

fof(f37,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f240,plain,
    ( identity = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f138,f184]) ).

fof(f241,plain,
    ( identity = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f139,f184]) ).

fof(f206,plain,
    ( identity = sk_c8
    | spl0_1 ),
    inference(forward_demodulation,[],[f201,f1]) ).

fof(f201,plain,
    ( sk_c8 = multiply(identity,identity)
    | spl0_1 ),
    inference(superposition,[],[f75,f184]) ).

fof(f14,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f42,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f345,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f61,f145]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f1162,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f1156,f1]) ).

fof(f1156,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f146]) ).

fof(f1155,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f61,f146]) ).

fof(f146,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f61,f2]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f145,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f61,f1]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f323,f1]) ).

fof(f323,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f166]) ).

fof(f322,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f166]) ).

fof(f166,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f44]) ).

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

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

fof(f8,axiom,
    ( sk_c6 = inverse(sk_c5)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c1)
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f31,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f4,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,axiom,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

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

fof(f21,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f30,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f212,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f204,f1]) ).

fof(f204,plain,
    ( identity = multiply(identity,multiply(identity,sk_c3))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f121,f184]) ).

fof(f199,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(superposition,[],[f66,f184]) ).

fof(f198,plain,
    ( identity = multiply(identity,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f48,f184]) ).

fof(f195,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f135,f179]) ).

fof(f194,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f117,f179]) ).

fof(f191,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f179]) ).

fof(f190,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f179]) ).

fof(f189,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f179]) ).

fof(f196,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f188,f1]) ).

fof(f188,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f179]) ).

fof(f187,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f50,f179]) ).

fof(f186,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f179]) ).

fof(f170,plain,
    ( sk_c5 = multiply(inverse(sk_c6),identity)
    | spl0_1 ),
    inference(superposition,[],[f61,f48]) ).

fof(f169,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f61,f75]) ).

fof(f167,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | spl0_1 ),
    inference(superposition,[],[f61,f46]) ).

fof(f183,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f165,f2]) ).

fof(f165,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f117]) ).

fof(f181,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f163,f45]) ).

fof(f163,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f61,f135]) ).

fof(f180,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f162,f2]) ).

fof(f162,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f98]) ).

fof(f158,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f61,f61]) ).

fof(f157,plain,
    ( multiply(sk_c6,sk_c3) = multiply(inverse(sk_c6),identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f121]) ).

fof(f156,plain,
    ( multiply(sk_c7,sk_c3) = multiply(inverse(sk_c8),identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f102]) ).

fof(f176,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f155,f47]) ).

fof(f155,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c5),multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f61,f56]) ).

fof(f154,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c6),X0)
    | spl0_1 ),
    inference(superposition,[],[f61,f66]) ).

fof(f175,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f153,f45]) ).

fof(f153,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c4),multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f61,f57]) ).

fof(f174,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f152,f42]) ).

fof(f152,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c3),multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f61,f55]) ).

fof(f151,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | spl0_1 ),
    inference(superposition,[],[f61,f65]) ).

fof(f150,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f64]) ).

fof(f147,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f61,f3]) ).

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

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

fof(f141,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f135]) ).

fof(f140,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f65,f135]) ).

fof(f139,plain,
    ( sk_c8 = sk_c6
    | spl0_1 ),
    inference(superposition,[],[f50,f135]) ).

fof(f138,plain,
    ( sk_c8 = sk_c6
    | spl0_1 ),
    inference(superposition,[],[f135,f50]) ).

fof(f135,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f131,f75]) ).

fof(f131,plain,
    ( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f57,f71]) ).

fof(f132,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f65,f57]) ).

fof(f130,plain,
    ( multiply(sk_c6,sk_c4) = multiply(sk_c4,identity)
    | spl0_1 ),
    inference(superposition,[],[f57,f46]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f57,f65]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f127,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,multiply(sk_c3,X0))) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f126,f1]) ).

fof(f126,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c6,multiply(sk_c3,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f3]) ).

fof(f125,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(multiply(sk_c6,sk_c3),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f121]) ).

fof(f121,plain,
    ( identity = multiply(sk_c6,multiply(sk_c6,sk_c3))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f114]) ).

fof(f124,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f1]) ).

fof(f123,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = multiply(sk_c5,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f3]) ).

fof(f122,plain,
    ( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(multiply(sk_c6,sk_c3),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f114]) ).

fof(f114,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c6,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f44]) ).

fof(f120,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f117]) ).

fof(f117,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f113,f51]) ).

fof(f113,plain,
    ( multiply(sk_c5,sk_c8) = multiply(sk_c6,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f67]) ).

fof(f115,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f66,f56]) ).

fof(f112,plain,
    ( multiply(sk_c6,multiply(sk_c7,sk_c3)) = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f102]) ).

fof(f111,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f64]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f51]) ).

fof(f110,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,multiply(sk_c3,X0))) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f109,f1]) ).

fof(f109,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c3,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f107,f3]) ).

fof(f107,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c3),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f102]) ).

fof(f108,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,multiply(sk_c7,sk_c3))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f106,f95]) ).

fof(f106,plain,
    ( multiply(sk_c3,identity) = multiply(sk_c7,multiply(sk_c7,sk_c3))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f102]) ).

fof(f102,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c3))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f95]) ).

fof(f105,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f104,f1]) ).

fof(f104,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f103,f3]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c3,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c3),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f95]) ).

fof(f95,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f44]) ).

fof(f101,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f98]) ).

fof(f98,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f94,f49]) ).

fof(f94,plain,
    ( multiply(sk_c3,sk_c8) = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f67]) ).

fof(f96,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f55]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f64]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c6 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(X4)
      | sk_c7 != inverse(X6)
      | sk_c6 != multiply(X7,sk_c8)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c7 != multiply(sk_c6,sk_c8)
      | sk_c7 != multiply(X5,sk_c8)
      | sk_c7 != multiply(X3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f78,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f75]) ).

fof(f75,plain,
    ( sk_c8 = multiply(sk_c6,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f66,f51]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f60,f1]) ).

fof(f60,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f74,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f71]) ).

fof(f71,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f65,f50]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f46]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f67]) ).

fof(f67,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f49]) ).

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

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f44]) ).

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

fof(f51,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f15,f37]) ).

fof(f50,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | spl0_1 ),
    inference(subsumption_resolution,[],[f12,f37]) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f37]) ).

fof(f48,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f47]) ).

fof(f46,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f45]) ).

fof(f44,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f42]) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    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(f5,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f355,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f353,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2404,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2403]) ).

fof(f2403,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f16,f17,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24,f26,f20,f740]) ).

fof(f2402,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2401]) ).

fof(f2401,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2400,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f740,f16,f17,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24,f26,f20]) ).

fof(f2400,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | sk_c6 = inverse(sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f32,f220]) ).

fof(f220,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f219,f179]) ).

fof(f219,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f218,f1]) ).

fof(f218,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f81,f184]) ).

fof(f81,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl0_3
  <=> sk_c7 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2399,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2398]) ).

fof(f2398,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2397,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f740,f16,f17,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24,f26,f20]) ).

fof(f2397,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | multiply(sk_c4,sk_c7) = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f30,f220]) ).

fof(f2396,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2395]) ).

fof(f2395,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2394,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f740,f16,f17,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24,f26,f20]) ).

fof(f2394,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | sk_c6 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2393,f220]) ).

fof(f2393,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f33,f220]) ).

fof(f2392,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2391]) ).

fof(f2391,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f740,f16,f17,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24,f26,f20]) ).

fof(f2390,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2389]) ).

fof(f2389,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f20,f740,f16,f17,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24,f26]) ).

fof(f2388,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2387]) ).

fof(f2387,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2386,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24]) ).

fof(f2386,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c7 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f27,f220]) ).

fof(f2385,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2384,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19,f24]) ).

fof(f2383,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2382]) ).

fof(f2382,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2381,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19]) ).

fof(f2381,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2380,f1]) ).

fof(f2380,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c7 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2379,f264]) ).

fof(f264,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f221,f1]) ).

fof(f221,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f44,f220]) ).

fof(f2379,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c7 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f22,f220]) ).

fof(f2378,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2377]) ).

fof(f2377,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2376,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19]) ).

fof(f2376,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | sk_c7 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f31,f220]) ).

fof(f2375,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2374]) ).

fof(f2374,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18,f19]) ).

fof(f2373,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2372]) ).

fof(f2372,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2371,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18]) ).

fof(f2371,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f81,f220]) ).

fof(f2370,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f2369,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2368,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18]) ).

fof(f2368,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2367,f1]) ).

fof(f2367,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2366,f264]) ).

fof(f2366,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f16,f220]) ).

fof(f2365,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2364]) ).

fof(f2364,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179,f18]) ).

fof(f2363,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2362]) ).

fof(f2362,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2361,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2361,plain,
    ( identity = inverse(identity)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2360,f220]) ).

fof(f2360,plain,
    ( sk_c8 = inverse(identity)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f17,f264]) ).

fof(f2359,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2358]) ).

fof(f2358,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2357,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2357,plain,
    ( identity = inverse(identity)
    | sk_c7 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2356,f220]) ).

fof(f2356,plain,
    ( sk_c8 = inverse(identity)
    | sk_c7 = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f23,f264]) ).

fof(f2355,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2354]) ).

fof(f2354,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2353,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2353,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2352,f220]) ).

fof(f2352,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2351,f1]) ).

fof(f2351,plain,
    ( sk_c7 = multiply(identity,identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2350,f264]) ).

fof(f2350,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f28,f220]) ).

fof(f2349,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2348]) ).

fof(f2348,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2347,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2347,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2346,f220]) ).

fof(f2346,plain,
    ( identity = inverse(identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2345,f220]) ).

fof(f2345,plain,
    ( sk_c8 = inverse(identity)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f29,f264]) ).

fof(f2344,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2343]) ).

fof(f2343,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2342,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2342,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2341,f220]) ).

fof(f2341,plain,
    ( identity = inverse(identity)
    | multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2340,f220]) ).

fof(f2340,plain,
    ( sk_c8 = inverse(identity)
    | multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f5,f264]) ).

fof(f2339,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2338]) ).

fof(f2338,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2337,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2337,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2336,f220]) ).

fof(f2336,plain,
    ( identity = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2335,f1]) ).

fof(f2335,plain,
    ( sk_c7 = multiply(identity,identity)
    | multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2334,f264]) ).

fof(f2334,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f4,f220]) ).

fof(f2333,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2332,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2331,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2331,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | multiply(sk_c4,sk_c7) = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f6,f220]) ).

fof(f2330,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2329]) ).

fof(f2329,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2328,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2328,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2327,f220]) ).

fof(f2327,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | multiply(sk_c1,sk_c8) = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f9,f220]) ).

fof(f2326,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2325]) ).

fof(f2325,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2324,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2324,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | sk_c6 = inverse(sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f8,f220]) ).

fof(f2323,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2322]) ).

fof(f2322,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2321,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2321,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2320,f1945]) ).

fof(f1945,plain,
    ( identity != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f37,f220]) ).

fof(f2320,plain,
    ( identity = inverse(sk_c1)
    | multiply(sk_c4,sk_c7) = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f12,f220]) ).

fof(f2319,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2318]) ).

fof(f2318,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2317,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2317,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2316,f1]) ).

fof(f2316,plain,
    ( sk_c7 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2315,f264]) ).

fof(f2315,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2314,f220]) ).

fof(f2314,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2313,f1945]) ).

fof(f2313,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f10,f220]) ).

fof(f2312,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2311]) ).

fof(f2311,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45,f179]) ).

fof(f2310,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2308,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45]) ).

fof(f2308,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f219,f220]) ).

fof(f2307,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | spl0_10 ),
    inference(global_subsumption,[],[f351,f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45]) ).

fof(f351,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2305,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2304]) ).

fof(f2304,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47,f45]) ).

fof(f2303,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2302]) ).

fof(f2302,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2238,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2238,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2237,f1945]) ).

fof(f2237,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f13,f220]) ).

fof(f2301,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2300]) ).

fof(f2300,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2299,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2299,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | sk_c7 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f7,f220]) ).

fof(f2298,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2297,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f2107,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2107,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,identity)
        | sk_c6 != inverse(X7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f91,f220]) ).

fof(f91,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl0_6
  <=> ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2296,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2295]) ).

fof(f2295,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f263,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f263,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f257,f1]) ).

fof(f257,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f230]) ).

fof(f230,plain,
    ( identity = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f223,f184]) ).

fof(f223,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f51,f220]) ).

fof(f2294,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2293]) ).

fof(f2293,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f236,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f236,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f235,f1]) ).

fof(f235,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,X0)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f234,f184]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f225,f1]) ).

fof(f225,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f56,f220]) ).

fof(f2292,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2291]) ).

fof(f2291,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f230,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2290,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2289]) ).

fof(f2289,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f2078,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2078,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f2077,f220]) ).

fof(f2077,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f2076,f1945]) ).

fof(f2076,plain,
    ( identity = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f15,f220]) ).

fof(f2288,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2287]) ).

fof(f2287,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1938,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f1938,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f1250,f1211,f737,f15,f14]) ).

fof(f737,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f735,plain,
    ( spl0_9
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1211,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f16,f9,f6,f4,f32,f31,f27,f24,f22,f15,f12,f10,f8,f7,f26,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f737,f20]) ).

fof(f1250,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f737,f20,f1211,f16,f17,f23,f27,f24,f22,f26]) ).

fof(f2286,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2285]) ).

fof(f2285,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1250,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2284,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2283,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f1211,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2282,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2281]) ).

fof(f2281,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | spl0_10 ),
    inference(global_subsumption,[],[f737,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2280,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2279]) ).

fof(f2279,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2278,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2277]) ).

fof(f2277,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2276,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2275]) ).

fof(f2275,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f295,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f295,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f285,f220]) ).

fof(f285,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f42,f264]) ).

fof(f2274,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2273]) ).

fof(f2273,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(global_subsumption,[],[f1948,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f166,f322,f324,f145,f25,f19,f146,f1155,f1162,f18,f20,f740,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1948,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1947,f220]) ).

fof(f1947,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f42,f264]) ).

fof(f2272,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2271]) ).

fof(f2271,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2270,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f376,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | spl0_8 ),
    inference(superposition,[],[f3,f373]) ).

fof(f373,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f7,f354]) ).

fof(f354,plain,
    ( sk_c7 != inverse(sk_c4)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f2270,plain,
    ( identity != inverse(sk_c4)
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f354,f741]) ).

fof(f741,plain,
    ( identity = sk_c7
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f2269,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2268]) ).

fof(f2268,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1552,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1552,plain,
    ( identity != inverse(sk_c4)
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f354,f741]) ).

fof(f2267,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2266]) ).

fof(f2266,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1555,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1555,plain,
    ( identity = sk_c6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f351,f354,f358,f361,f359,f357,f362,f373,f376,f19,f744,f745,f747,f754,f146,f1155,f1162,f18,f345,f370,f20,f368,f365,f364,f16,f17,f26,f22,f24,f27,f23,f741,f1438,f1422,f1315,f1306,f1410,f1407,f749,f1452,f758,f1531,f1311,f1537,f1552,f1543]) ).

fof(f1543,plain,
    ( identity = sk_c6
    | identity = inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1542,f1]) ).

fof(f1542,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1541,f749]) ).

fof(f1541,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | identity = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1540,f741]) ).

fof(f1540,plain,
    ( identity = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f19,f741]) ).

fof(f1537,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | identity = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1536,f741]) ).

fof(f1536,plain,
    ( identity = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f31,f741]) ).

fof(f1311,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | identity = multiply(sk_c6,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1310,f741]) ).

fof(f1310,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f30,f741]) ).

fof(f1531,plain,
    ( identity = inverse(identity)
    | sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1426,f749]) ).

fof(f1426,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1425,f741]) ).

fof(f1425,plain,
    ( identity = inverse(sk_c2)
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f24,f741]) ).

fof(f758,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f753,f741]) ).

fof(f753,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f351,f749]) ).

fof(f1452,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1438,f749]) ).

fof(f749,plain,
    ( identity = sk_c2
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f746,f2]) ).

fof(f746,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f359,f741]) ).

fof(f1407,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f20,f741]) ).

fof(f1410,plain,
    ( identity = inverse(sk_c2)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f26,f741]) ).

fof(f1306,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f32,f741]) ).

fof(f1315,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f33,f741]) ).

fof(f1422,plain,
    ( identity = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f27,f741]) ).

fof(f1438,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f351,f741]) ).

fof(f364,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c2,X0)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f363,f1]) ).

fof(f363,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f359]) ).

fof(f365,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c2,X0)
    | ~ spl0_7 ),
    inference(superposition,[],[f61,f357]) ).

fof(f368,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f61,f362]) ).

fof(f370,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f369,f1]) ).

fof(f369,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c2,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f362]) ).

fof(f754,plain,
    ( identity = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f750,f741]) ).

fof(f750,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f362,f749]) ).

fof(f747,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c2)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f362,f741]) ).

fof(f745,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f358,f741]) ).

fof(f744,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f357,f741]) ).

fof(f362,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f61,f359]) ).

fof(f357,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f61,f351]) ).

fof(f359,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f61,f358]) ).

fof(f361,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f360,f1]) ).

fof(f360,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f358]) ).

fof(f358,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f351]) ).

fof(f2265,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2264]) ).

fof(f2264,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2263,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2263,plain,
    ( identity = inverse(identity)
    | sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1426,f749]) ).

fof(f2262,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2261]) ).

fof(f2261,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2260,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2260,plain,
    ( identity = sk_c6
    | identity = inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2259,f1]) ).

fof(f2259,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1541,f749]) ).

fof(f2258,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2257]) ).

fof(f2257,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2256,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2256,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2255,f1]) ).

fof(f2255,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1898,f749]) ).

fof(f1898,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1826,f741]) ).

fof(f1826,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f18,f741]) ).

fof(f2254,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2253]) ).

fof(f2253,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2252,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2252,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2251,f220]) ).

fof(f2251,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1918,f741]) ).

fof(f1918,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6,f741]) ).

fof(f2250,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2249]) ).

fof(f2249,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2248,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2248,plain,
    ( identity = multiply(sk_c1,identity)
    | identity = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2247,f220]) ).

fof(f2247,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | identity = inverse(sk_c4)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2246,f741]) ).

fof(f2246,plain,
    ( identity = inverse(sk_c4)
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f7,f741]) ).

fof(f2245,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2244]) ).

fof(f2244,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2243,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2243,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2242,f1945]) ).

fof(f2242,plain,
    ( identity = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1932,f220]) ).

fof(f1932,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f12,f741]) ).

fof(f2241,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2240]) ).

fof(f2240,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2239,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2239,plain,
    ( identity = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2238,f741]) ).

fof(f2236,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2235]) ).

fof(f2235,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2234,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2234,plain,
    ( identity = inverse(sk_c4)
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f45,f741]) ).

fof(f2233,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2232]) ).

fof(f2232,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f1948,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2231,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2230]) ).

fof(f2230,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f295,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2229,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2228]) ).

fof(f2228,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2227,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2227,plain,
    ( identity = inverse(identity)
    | identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2088,f220]) ).

fof(f2088,plain,
    ( sk_c8 = inverse(identity)
    | identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2087,f264]) ).

fof(f2087,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c8 = inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1913,f220]) ).

fof(f1913,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f5,f741]) ).

fof(f2226,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2225]) ).

fof(f2225,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2224,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2224,plain,
    ( identity = inverse(identity)
    | identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2091,f220]) ).

fof(f2091,plain,
    ( sk_c8 = inverse(identity)
    | identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2090,f264]) ).

fof(f2090,plain,
    ( identity = multiply(sk_c6,identity)
    | sk_c8 = inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1911,f220]) ).

fof(f1911,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f29,f741]) ).

fof(f2223,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2222]) ).

fof(f2222,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2221,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2221,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f2220]) ).

fof(f2220,plain,
    ( identity = inverse(identity)
    | identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2219,f749]) ).

fof(f2219,plain,
    ( identity = inverse(identity)
    | identity = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2096,f220]) ).

fof(f2096,plain,
    ( sk_c8 = inverse(identity)
    | identity = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1906,f264]) ).

fof(f1906,plain,
    ( identity = inverse(sk_c2)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f23,f741]) ).

fof(f2218,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2217]) ).

fof(f2217,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2216,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2216,plain,
    ( identity = sk_c6
    | identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2215,f1]) ).

fof(f2215,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2214,f749]) ).

fof(f2214,plain,
    ( identity = inverse(identity)
    | sk_c6 = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2100,f220]) ).

fof(f2100,plain,
    ( sk_c8 = inverse(identity)
    | sk_c6 = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1902,f264]) ).

fof(f1902,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f17,f741]) ).

fof(f2213,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2212]) ).

fof(f2212,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1452,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2211,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2210]) ).

fof(f2210,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2209,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2208]) ).

fof(f2208,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2071,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2071,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f826,f264]) ).

fof(f826,plain,
    ( sk_c3 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f823,f166]) ).

fof(f823,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f809]) ).

fof(f809,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f779,f2]) ).

fof(f779,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f778,f1]) ).

fof(f778,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f743]) ).

fof(f743,plain,
    ( sk_c8 = multiply(inverse(sk_c6),identity)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f317,f741]) ).

fof(f317,plain,
    ( sk_c8 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f81]) ).

fof(f2207,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2206]) ).

fof(f2206,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f184,f47]) ).

fof(f2205,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2204]) ).

fof(f2204,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f737,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2203,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2202]) ).

fof(f2202,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1211,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2201,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2200]) ).

fof(f2200,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1250,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2199,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2198]) ).

fof(f2198,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1307,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1307,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1306,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f1250,f1211,f737]) ).

fof(f2197,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2196]) ).

fof(f2196,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1445,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1445,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1306,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f1250,f1211,f737]) ).

fof(f2195,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2194]) ).

fof(f2194,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1446,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1446,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1410,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f1250,f1211,f737]) ).

fof(f2193,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2192]) ).

fof(f2192,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1447,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1447,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1407,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f1250,f1211,f737]) ).

fof(f2191,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2190]) ).

fof(f2190,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1930,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1930,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1929,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f1250,f1211,f737]) ).

fof(f1929,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f8,f741]) ).

fof(f2189,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2188]) ).

fof(f2188,plain,
    ( $false
    | spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1938,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2187,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2186]) ).

fof(f2186,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2118,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2118,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2104,f749]) ).

fof(f2104,plain,
    ( identity = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2103,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f351,f358,f361,f359,f357,f362,f19,f744,f745,f747,f754,f146,f1155,f1162,f18,f370,f20,f368,f365,f364,f16,f17,f26,f22,f24,f27,f23,f741,f1438,f1306,f1410,f1407,f749,f1531,f1558,f758,f1560,f1561,f1452,f1315,f1311,f1537,f1543,f345,f1422,f1897,f1902,f1904,f1906,f1909,f1911,f1913,f1916,f1923,f1929,f15,f1936,f14]) ).

fof(f1936,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f10,f741]) ).

fof(f1923,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f9,f741]) ).

fof(f1916,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | identity = multiply(sk_c3,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1915,f741]) ).

fof(f1915,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4,f741]) ).

fof(f1909,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | identity = multiply(sk_c3,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1908,f741]) ).

fof(f1908,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f28,f741]) ).

fof(f1904,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | identity = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1431,f741]) ).

fof(f1431,plain,
    ( identity = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f22,f741]) ).

fof(f1897,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1819,f741]) ).

fof(f1819,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f16,f741]) ).

fof(f1561,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f351,f358,f361,f359,f357,f362,f19,f744,f745,f747,f754,f146,f1155,f1162,f18,f345,f370,f20,f368,f365,f364,f16,f17,f26,f22,f24,f27,f23,f741,f1438,f1422,f1306,f1410,f1407,f749,f1543,f1537,f1311,f1531,f1558,f758,f1452,f1315,f1560]) ).

fof(f1560,plain,
    ( identity = inverse(identity)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1422,f749]) ).

fof(f1558,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f351,f358,f361,f359,f357,f362,f19,f744,f745,f747,f754,f146,f1155,f1162,f18,f345,f370,f20,f368,f365,f364,f16,f17,f26,f22,f24,f27,f23,f741,f1438,f1422,f1315,f1306,f1410,f1407,f749,f1452,f758,f1543,f1537,f1311,f1531]) ).

fof(f2103,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | identity = inverse(sk_c2)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1422,f220]) ).

fof(f2185,plain,
    ( spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2184]) ).

fof(f2184,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2120,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2120,plain,
    ( identity = inverse(identity)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2106,f749]) ).

fof(f2106,plain,
    ( identity = inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f351,f741]) ).

fof(f2183,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2182]) ).

fof(f2182,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1986,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1986,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1564,f220]) ).

fof(f1564,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f81,f741]) ).

fof(f2181,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2180]) ).

fof(f2180,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1988,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1988,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1744,f220]) ).

fof(f1744,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f81,f317,f326,f325,f340,f145,f25,f19,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f146,f1155,f1162,f18,f345,f318,f20,f339,f16,f17,f26,f22,f24,f27,f23,f741,f1255,f1422,f1306,f1410,f1407,f1537,f1311,f809,f1564,f1315]) ).

fof(f1255,plain,
    ( sk_c8 = multiply(inverse(sk_c6),identity)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f317,f741]) ).

fof(f339,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c6))),sk_c7)
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f325]) ).

fof(f318,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f81]) ).

fof(f828,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f824,f1]) ).

fof(f824,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f809]) ).

fof(f817,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f779]) ).

fof(f814,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c8,X0)) = X0
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f779]) ).

fof(f813,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f779]) ).

fof(f811,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f779,f61]) ).

fof(f804,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f339,f741]) ).

fof(f797,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c8,X0)) = X0
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f796,f1]) ).

fof(f796,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c8,X0))
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f777]) ).

fof(f795,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f777]) ).

fof(f777,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c8)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f743]) ).

fof(f340,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c8,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f325]) ).

fof(f325,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c6)),sk_c8)
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f317]) ).

fof(f326,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(sk_c7,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f317]) ).

fof(f314,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f26,f20,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f7,f27,f22,f24,f1,f2,f11,f3,f34,f61,f145,f146,f147,f158,f81,f33,f310,f30,f311,f28,f312,f21,f18,f16,f9,f6,f4,f32,f313,f31]) ).

fof(f313,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f26,f20,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f31,f7,f27,f22,f24,f1,f2,f11,f3,f34,f61,f145,f146,f147,f158,f81,f33,f310,f30,f311,f28,f312,f21,f18,f16,f9,f6,f4,f32]) ).

fof(f312,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f26,f20,f32,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f31,f7,f27,f22,f24,f21,f9,f16,f18,f4,f6,f1,f2,f11,f3,f34,f61,f145,f146,f147,f158,f81,f33,f310,f30,f311,f28]) ).

fof(f311,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f26,f20,f32,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f31,f7,f27,f22,f24,f21,f9,f16,f18,f28,f4,f6,f1,f2,f11,f3,f34,f61,f145,f146,f147,f158,f81,f33,f310,f30]) ).

fof(f310,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f14,f26,f20,f32,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f31,f7,f27,f22,f24,f21,f9,f16,f18,f28,f4,f30,f6,f1,f2,f11,f3,f34,f61,f145,f146,f147,f158,f81,f33]) ).

fof(f2179,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2178]) ).

fof(f2178,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1990,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1990,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1745,f220]) ).

fof(f1745,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f81,f317,f326,f325,f340,f145,f25,f19,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f146,f1155,f1162,f18,f345,f318,f20,f339,f16,f17,f26,f22,f24,f27,f23,f741,f1255,f1422,f1306,f1410,f1407,f1537,f809,f1564,f1315,f1744,f1311]) ).

fof(f2177,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2176]) ).

fof(f2176,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1992,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f1992,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1746,f220]) ).

fof(f1746,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f81,f317,f326,f325,f340,f145,f25,f19,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f146,f1155,f1162,f18,f345,f318,f20,f339,f16,f17,f26,f22,f24,f27,f23,f741,f1255,f1422,f1306,f1410,f1407,f809,f1564,f1315,f1744,f1311,f1745,f1537]) ).

fof(f2175,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2174]) ).

fof(f2174,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f2078,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2173,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2172]) ).

fof(f2172,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2081,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2081,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2080,f29,f5,f1,f2,f11,f44,f45,f46,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f198,f199,f212,f226,f269,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f12,f10,f8,f7,f13,f81,f166,f322,f324,f317,f326,f325,f340,f145,f25,f19,f146,f1155,f1162,f18,f318,f20,f339,f16,f17,f26,f22,f24,f27,f23,f345,f42,f15,f14,f239,f233,f259,f229,f258,f295,f252,f221,f248,f247,f206,f268,f265,f241,f240,f37,f220,f264,f1948,f1945,f263,f236,f230,f47,f184,f2078]) ).

fof(f265,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f1,f221]) ).

fof(f268,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f266,f2]) ).

fof(f266,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f61,f221]) ).

fof(f247,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f242,f179]) ).

fof(f242,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f229,f95]) ).

fof(f248,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f243,f179]) ).

fof(f243,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f95,f229]) ).

fof(f252,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f246,f1]) ).

fof(f246,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f229]) ).

fof(f258,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f253,f184]) ).

fof(f253,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f230,f114]) ).

fof(f229,plain,
    ( identity = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f222,f179]) ).

fof(f222,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f49,f220]) ).

fof(f259,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f254,f184]) ).

fof(f254,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f114,f230]) ).

fof(f233,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f232,f1]) ).

fof(f232,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,X0)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f231,f179]) ).

fof(f231,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,X0)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f224,f1]) ).

fof(f224,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f55,f220]) ).

fof(f239,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f238,f1]) ).

fof(f238,plain,
    ( identity = multiply(identity,multiply(identity,sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f228,f179]) ).

fof(f228,plain,
    ( identity = multiply(identity,multiply(sk_c7,sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f102,f220]) ).

fof(f269,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f267,f1]) ).

fof(f267,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f221]) ).

fof(f226,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f64,f220]) ).

fof(f2080,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | identity = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2079,f220]) ).

fof(f2079,plain,
    ( identity = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1923,f220]) ).

fof(f2171,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2170]) ).

fof(f2170,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f230,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2169,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2168]) ).

fof(f2168,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f236,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2167,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2166]) ).

fof(f2166,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f263,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2165,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2164]) ).

fof(f2164,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2070,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2070,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f809,f220]) ).

fof(f2163,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2162,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f2107,f29,f5,f1,f2,f11,f45,f46,f48,f49,f50,f51,f3,f65,f71,f74,f66,f75,f78,f34,f55,f56,f115,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f147,f151,f175,f154,f176,f158,f181,f167,f169,f170,f198,f199,f33,f30,f28,f21,f9,f6,f4,f32,f31,f12,f10,f8,f7,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f20,f16,f17,f26,f22,f24,f27,f23,f345,f15,f14,f206,f241,f240,f37,f47,f184]) ).

fof(f2161,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2160]) ).

fof(f2160,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2159,f1763]) ).

fof(f1763,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1747,f764]) ).

fof(f764,plain,
    ( identity = sk_c4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f748,f1]) ).

fof(f748,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f727,f741]) ).

fof(f727,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f355]) ).

fof(f1747,plain,
    ( identity = inverse(sk_c4)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f355,f741]) ).

fof(f2159,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2151,f1763]) ).

fof(f2151,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f2149]) ).

fof(f2149,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2145,f145]) ).

fof(f2145,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2144,f2075]) ).

fof(f2075,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2074,f1945]) ).

fof(f2074,plain,
    ( identity = inverse(sk_c1)
    | identity = sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1934,f220]) ).

fof(f1934,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1933,f1]) ).

fof(f1933,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1932,f764]) ).

fof(f2144,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | sk_c6 != inverse(X7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2107,f2075]) ).

fof(f2158,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2157,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2156,f1763]) ).

fof(f2156,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2152,f1763]) ).

fof(f2152,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f2148]) ).

fof(f2148,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2145,f2]) ).

fof(f2155,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2154]) ).

fof(f2154,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2153,f1763]) ).

fof(f2153,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f2147]) ).

fof(f2147,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2145,f1]) ).

fof(f2062,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2061]) ).

fof(f2061,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2060,f220]) ).

fof(f2060,plain,
    ( identity != sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2059,f1763]) ).

fof(f2059,plain,
    ( sk_c8 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1773,f220]) ).

fof(f1773,plain,
    ( identity != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f1562,f1]) ).

fof(f1562,plain,
    ( ! [X5] :
        ( identity != multiply(X5,sk_c8)
        | sk_c8 != inverse(X5) )
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f88,f741]) ).

fof(f88,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f87,plain,
    ( spl0_5
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2058,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2057]) ).

fof(f2057,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2056,f1763]) ).

fof(f2056,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2055,f1763]) ).

fof(f2055,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2045,f220]) ).

fof(f2045,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1774]) ).

fof(f1774,plain,
    ( identity != identity
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f1562,f2]) ).

fof(f2054,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2053]) ).

fof(f2053,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2052,f220]) ).

fof(f2052,plain,
    ( identity != sk_c8
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2051,f1763]) ).

fof(f2051,plain,
    ( sk_c8 != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2050,f1763]) ).

fof(f2050,plain,
    ( sk_c8 != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1775,f220]) ).

fof(f1775,plain,
    ( identity != sk_c8
    | sk_c8 != inverse(inverse(identity))
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f1562,f145]) ).

fof(f2049,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2047,f1763]) ).

fof(f2047,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2046,f1763]) ).

fof(f2046,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1778,f220]) ).

fof(f1778,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1774]) ).

fof(f2044,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2043]) ).

fof(f2043,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2042,f1763]) ).

fof(f2042,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2034,f1763]) ).

fof(f2034,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f2032]) ).

fof(f2032,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2016,f145]) ).

fof(f2016,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2015,f1304]) ).

fof(f1304,plain,
    ( identity = sk_c6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1303,f1]) ).

fof(f1303,plain,
    ( sk_c6 = multiply(identity,identity)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1302,f764]) ).

fof(f1302,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1252,f741]) ).

fof(f1252,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | spl0_7 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f23,f27,f350,f26,f22,f1251,f24]) ).

fof(f1251,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f23,f27,f24,f350,f26,f22]) ).

fof(f350,plain,
    ( sk_c7 != inverse(sk_c2)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f2015,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,identity)
        | identity != inverse(X7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2014,f220]) ).

fof(f2014,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) )
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f91,f1304]) ).

fof(f2041,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2039,f1763]) ).

fof(f2039,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2035,f1763]) ).

fof(f2035,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f2031]) ).

fof(f2031,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2016,f2]) ).

fof(f2038,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2036,f1763]) ).

fof(f2036,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f2030]) ).

fof(f2030,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2016,f1]) ).

fof(f1892,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1891]) ).

fof(f1891,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1273,f1288,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336,f1347,f1299,f1879,f1325,f1884,f1271,f1890]) ).

fof(f1890,plain,
    ( identity != inverse(sk_c2)
    | spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f350,f741]) ).

fof(f1271,plain,
    ( identity != inverse(sk_c2)
    | spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f350,f741]) ).

fof(f1884,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1394,f1047]) ).

fof(f1325,plain,
    ( identity = sk_c5
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1322,f2]) ).

fof(f1322,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f146,f1318]) ).

fof(f1879,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1878,f1]) ).

fof(f1878,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1297,f764]) ).

fof(f1297,plain,
    ( sk_c1 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1296,f741]) ).

fof(f1296,plain,
    ( sk_c1 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1252,f825]) ).

fof(f1299,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1298,f1]) ).

fof(f1298,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1297,f764]) ).

fof(f1347,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1339,f2]) ).

fof(f1339,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f319,f1336]) ).

fof(f1336,plain,
    ( identity = sk_c8
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1335,f1304]) ).

fof(f1335,plain,
    ( sk_c8 = sk_c6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1334,f1]) ).

fof(f1334,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1253,f1325]) ).

fof(f1867,plain,
    ( identity = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1318,f1047]) ).

fof(f1864,plain,
    ( identity = sk_c1
    | identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1863,f825]) ).

fof(f1863,plain,
    ( identity = sk_c6
    | identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1862,f1]) ).

fof(f1862,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1426,f764]) ).

fof(f1859,plain,
    ( identity = inverse(identity)
    | sk_c1 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1858,f764]) ).

fof(f1858,plain,
    ( sk_c1 = multiply(sk_c2,identity)
    | identity = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1541,f825]) ).

fof(f1855,plain,
    ( sk_c1 = multiply(sk_c8,sk_c8)
    | identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1854,f825]) ).

fof(f1854,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | identity = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1422,f1047]) ).

fof(f1261,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1259,f741]) ).

fof(f1259,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f355,f764]) ).

fof(f1802,plain,
    ( identity != sk_c1
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1796]) ).

fof(f1797,plain,
    ( sk_c1 != sk_c8
    | sk_c1 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1795,f1]) ).

fof(f1847,plain,
    ( sk_c1 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1261,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806]) ).

fof(f1806,plain,
    ( sk_c1 != inverse(sk_c1)
    | identity != sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1798,f1152]) ).

fof(f1798,plain,
    ( identity != sk_c1
    | sk_c1 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1795,f2]) ).

fof(f1799,plain,
    ( sk_c1 != sk_c8
    | sk_c1 != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1795,f145]) ).

fof(f1846,plain,
    ( sk_c1 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1261,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1806,f1801,f1841,f1842,f345,f1812]) ).

fof(f1812,plain,
    ( sk_c1 != inverse(sk_c1)
    | identity != sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1811,f1152]) ).

fof(f1811,plain,
    ( identity != sk_c1
    | sk_c1 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1800,f417]) ).

fof(f1800,plain,
    ( sk_c1 != multiply(sk_c1,sk_c8)
    | sk_c1 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1795,f331]) ).

fof(f1842,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1841,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f38,f316,f321,f319,f315,f335,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f146,f1155,f1162,f18,f345,f1149,f1208,f456,f422,f343,f1209,f20,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f772,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1256,f1271,f1288,f1261,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1311,f1537,f1747,f764]) ).

fof(f1841,plain,
    ( identity = sk_c1
    | sk_c1 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1840,f1]) ).

fof(f1840,plain,
    ( sk_c1 = multiply(identity,identity)
    | sk_c1 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1839,f764]) ).

fof(f1839,plain,
    ( sk_c1 = multiply(sk_c4,identity)
    | sk_c1 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1838,f741]) ).

fof(f1838,plain,
    ( sk_c1 = multiply(sk_c4,sk_c7)
    | sk_c1 = multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1837,f825]) ).

fof(f1837,plain,
    ( sk_c1 = multiply(sk_c2,identity)
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1826,f825]) ).

fof(f1801,plain,
    ( ! [X0,X1] :
        ( sk_c1 != multiply(X0,multiply(X1,sk_c8))
        | sk_c1 != inverse(multiply(X0,X1)) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1795,f3]) ).

fof(f1796,plain,
    ( identity != sk_c1
    | sk_c1 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1795,f417]) ).

fof(f1795,plain,
    ( ! [X7] :
        ( sk_c1 != multiply(X7,sk_c8)
        | sk_c1 != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1794,f825]) ).

fof(f1794,plain,
    ( ! [X7] :
        ( sk_c1 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f91,f825]) ).

fof(f825,plain,
    ( sk_c1 = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f822,f418]) ).

fof(f822,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f420,f809]) ).

fof(f1047,plain,
    ( sk_c8 = sk_c5
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1046,f432]) ).

fof(f1046,plain,
    ( sk_c5 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1043,f38]) ).

fof(f1043,plain,
    ( sk_c5 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f1041]) ).

fof(f1041,plain,
    ( identity = multiply(sk_c1,sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f1039]) ).

fof(f1313,plain,
    ( identity = sk_c6
    | identity = multiply(sk_c6,sk_c8)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1312,f1]) ).

fof(f1312,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = multiply(sk_c6,sk_c8)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1311,f764]) ).

fof(f1428,plain,
    ( identity = sk_c6
    | identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1427,f1]) ).

fof(f1427,plain,
    ( sk_c6 = multiply(identity,identity)
    | identity = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1426,f764]) ).

fof(f1399,plain,
    ( identity = multiply(sk_c2,identity)
    | identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1398,f1304]) ).

fof(f1398,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1397,f741]) ).

fof(f1397,plain,
    ( identity = inverse(sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f20,f1304]) ).

fof(f1394,plain,
    ( identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1393,f1271]) ).

fof(f1393,plain,
    ( identity = inverse(sk_c2)
    | identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1392,f741]) ).

fof(f1392,plain,
    ( identity = inverse(sk_c5)
    | sk_c7 = inverse(sk_c2)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f26,f1304]) ).

fof(f1389,plain,
    ( identity = inverse(sk_c5)
    | identity = multiply(identity,sk_c8)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1388,f1304]) ).

fof(f1388,plain,
    ( identity = multiply(identity,sk_c8)
    | sk_c6 = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1306,f1304]) ).

fof(f1385,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1253,f1304]) ).

fof(f1382,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1316,f1304]) ).

fof(f1354,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1346,f1261]) ).

fof(f1346,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1152,f1336]) ).

fof(f1353,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1344,f1]) ).

fof(f1344,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f420,f1336]) ).

fof(f1343,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f417,f1336]) ).

fof(f1352,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1351,f146]) ).

fof(f1351,plain,
    ( sk_c1 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1342,f1261]) ).

fof(f1342,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f341,f1336]) ).

fof(f1350,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1341,f145]) ).

fof(f1341,plain,
    ( ! [X0] : multiply(inverse(identity),X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f331,f1336]) ).

fof(f1349,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1348,f1261]) ).

fof(f1348,plain,
    ( identity = multiply(inverse(identity),sk_c1)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1340,f1261]) ).

fof(f1340,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c1)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f329,f1336]) ).

fof(f1338,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f316,f1336]) ).

fof(f1337,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f315,f1336]) ).

fof(f1152,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f146,f341]) ).

fof(f1324,plain,
    ( identity = multiply(identity,sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f1318]) ).

fof(f1323,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c5,X0)) = X0
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f1318]) ).

fof(f1318,plain,
    ( identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f737,f1304]) ).

fof(f1321,plain,
    ( identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1307,f1304]) ).

fof(f1320,plain,
    ( identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1250,f1304]) ).

fof(f1319,plain,
    ( identity = inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1211,f1304]) ).

fof(f1316,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_7
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1315,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1314,plain,
    ( identity = sk_c6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f355,f727,f748,f765,f768,f769,f146,f1155,f1162,f18,f345,f1149,f20,f730,f726,f728,f16,f17,f772,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1256,f764,f1271,f1288,f1261,f1304,f1306,f1313]) ).

fof(f1153,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f341,f146]) ).

fof(f1288,plain,
    ( identity = inverse(identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f772,f741]) ).

fof(f1273,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1272,f825]) ).

fof(f1272,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f737,f1047]) ).

fof(f1278,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1277,f825]) ).

fof(f1277,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1250,f1047]) ).

fof(f1276,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1275,f825]) ).

fof(f1275,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1211,f1047]) ).

fof(f1274,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1039,f1047]) ).

fof(f1256,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f727,f741]) ).

fof(f1254,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_7 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23]) ).

fof(f1253,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f23,f350,f26,f22,f1251,f24,f1252,f27]) ).

fof(f1050,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1039,f1047]) ).

fof(f772,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f355,f764]) ).

fof(f1039,plain,
    ( sk_c1 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f737,f825]) ).

fof(f1229,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1214,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f741,f146,f1155,f1162,f18,f345,f20,f16,f17,f23,f27,f24,f22,f26]) ).

fof(f1214,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f4,f417]) ).

fof(f1228,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1216,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f741,f146,f1155,f1162,f18,f345,f20,f16,f17,f23,f27,f24,f22,f26]) ).

fof(f1216,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f5,f417]) ).

fof(f728,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f727]) ).

fof(f726,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f355]) ).

fof(f730,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f729,f1]) ).

fof(f729,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f727]) ).

fof(f1209,plain,
    ( identity = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f6,f417]) ).

fof(f343,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f342,f1]) ).

fof(f342,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f329]) ).

fof(f422,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f331]) ).

fof(f456,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f341]) ).

fof(f1208,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f9,f417]) ).

fof(f1149,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f146,f355]) ).

fof(f1048,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1044,f1]) ).

fof(f1044,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f1041]) ).

fof(f1045,plain,
    ( sk_c8 = sk_c5
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1042,f432]) ).

fof(f1042,plain,
    ( sk_c5 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f315,f1041]) ).

fof(f1040,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f1039]) ).

fof(f850,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f849,f1]) ).

fof(f849,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f847]) ).

fof(f848,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f847]) ).

fof(f847,plain,
    ( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f846,f38]) ).

fof(f846,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c1))),identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f804,f825]) ).

fof(f769,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f767,f1]) ).

fof(f767,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c4,X0))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f748]) ).

fof(f768,plain,
    ( identity = sk_c4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f766,f2]) ).

fof(f766,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f61,f748]) ).

fof(f765,plain,
    ( identity = sk_c4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1,f748]) ).

fof(f724,plain,
    ( identity = sk_c7
    | sk_c6 = inverse(sk_c5)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f8,f417]) ).

fof(f432,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f315,f417]) ).

fof(f725,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f7,f417]) ).

fof(f435,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f433,f38]) ).

fof(f433,plain,
    ( sk_c8 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f417]) ).

fof(f458,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f457,f1]) ).

fof(f457,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f341]) ).

fof(f341,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f329]) ).

fof(f420,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f331,f61]) ).

fof(f418,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f331,f319]) ).

fof(f436,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f434,f1]) ).

fof(f434,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f417]) ).

fof(f417,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f331,f2]) ).

fof(f426,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f331]) ).

fof(f424,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f319,f331]) ).

fof(f421,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f331]) ).

fof(f331,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f330,f1]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f319]) ).

fof(f329,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f319]) ).

fof(f335,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f315]) ).

fof(f315,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f38]) ).

fof(f319,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f316]) ).

fof(f321,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f320,f1]) ).

fof(f320,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f316]) ).

fof(f316,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f38]) ).

fof(f38,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f1888,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1887]) ).

fof(f1887,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1273,f1288,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336,f1347,f1299,f1879,f1325,f1884,f1271]) ).

fof(f1886,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1885]) ).

fof(f1885,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336,f1347,f1299,f1879,f1325,f1884]) ).

fof(f1883,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1882]) ).

fof(f1882,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336,f1347,f1299,f1879,f1325]) ).

fof(f1881,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1880,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336,f1347,f1299,f1879]) ).

fof(f1877,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336,f1347,f1299]) ).

fof(f1875,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336,f1347]) ).

fof(f1873,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1872]) ).

fof(f1872,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304,f1336]) ).

fof(f1871,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1870]) ).

fof(f1870,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867,f1304]) ).

fof(f1869,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1868]) ).

fof(f1868,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864,f1867]) ).

fof(f1866,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1865]) ).

fof(f1865,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859,f1864]) ).

fof(f1861,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1860]) ).

fof(f1860,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855,f1859]) ).

fof(f1857,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1856,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261,f1855]) ).

fof(f1853,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1852]) ).

fof(f1852,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763,f1261]) ).

fof(f1851,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1850]) ).

fof(f1850,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1261,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802,f1763]) ).

fof(f1849,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1848]) ).

fof(f1848,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1040,f1045,f1048,f146,f1155,f1162,f18,f1149,f1208,f456,f422,f343,f318,f1209,f20,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1039,f772,f1050,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f1274,f1276,f1278,f1271,f1273,f1288,f1261,f1299,f1153,f1314,f1316,f1304,f1319,f1320,f1321,f1318,f1323,f1324,f1325,f1152,f1336,f1337,f1338,f1349,f1350,f1352,f1343,f1353,f1354,f1347,f1382,f1385,f1389,f1394,f1399,f1428,f1422,f1313,f1306,f1410,f1407,f809,f1041,f1564,f1447,f1446,f1445,f1307,f1250,f1211,f737,f1315,f1744,f1311,f1745,f1537,f1746,f1747,f1047,f764,f825,f1795,f1796,f1801,f1841,f1842,f345,f1812,f1846,f1799,f1806,f1847,f1797,f1802]) ).

fof(f1836,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1835]) ).

fof(f1835,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1834,f1805]) ).

fof(f1805,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f351,f358,f361,f359,f357,f362,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f432,f724,f744,f745,f747,f754,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1038,f146,f1155,f1162,f18,f345,f1208,f456,f422,f370,f343,f318,f1209,f20,f368,f339,f365,f364,f16,f17,f1216,f1228,f1214,f1229,f26,f22,f24,f27,f23,f741,f1255,f1153,f1152,f1438,f1422,f1306,f1410,f1407,f749,f1531,f1558,f758,f1560,f1561,f1452,f809,f1564,f1315,f1744,f1311,f1745,f1537,f1746,f1543,f825,f1795,f1796,f1803,f1804]) ).

fof(f1804,plain,
    ( identity != sk_c1
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1797,f1452]) ).

fof(f1803,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1802,f1452]) ).

fof(f1038,plain,
    ( identity = sk_c1
    | sk_c1 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1037,f825]) ).

fof(f1037,plain,
    ( identity = sk_c6
    | sk_c1 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1036,f1]) ).

fof(f1036,plain,
    ( sk_c6 = multiply(identity,identity)
    | sk_c1 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1035,f749]) ).

fof(f1035,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | sk_c1 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1034,f741]) ).

fof(f1034,plain,
    ( sk_c1 = inverse(sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f20,f825]) ).

fof(f1834,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1833,f1]) ).

fof(f1833,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1832,f764]) ).

fof(f1832,plain,
    ( sk_c1 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1831,f741]) ).

fof(f1831,plain,
    ( sk_c1 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1830,f825]) ).

fof(f1830,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1829,f1805]) ).

fof(f1829,plain,
    ( identity = sk_c1
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1828,f825]) ).

fof(f1828,plain,
    ( identity = sk_c6
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1827,f1]) ).

fof(f1827,plain,
    ( sk_c6 = multiply(identity,identity)
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1826,f749]) ).

fof(f1793,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1792]) ).

fof(f1792,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1791,f38]) ).

fof(f1791,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1790,f1152]) ).

fof(f1790,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1776,f417]) ).

fof(f1776,plain,
    ( identity != multiply(sk_c1,sk_c8)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f1562,f331]) ).

fof(f1786,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1785]) ).

fof(f1785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1784,f38]) ).

fof(f1784,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1778,f1152]) ).

fof(f1781,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1780,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1779,f38]) ).

fof(f1779,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1772]) ).

fof(f1772,plain,
    ( identity != identity
    | sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f1562,f417]) ).

fof(f1743,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1742]) ).

fof(f1742,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1741,f1452]) ).

fof(f1741,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1740,f560]) ).

fof(f560,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f559,f380]) ).

fof(f380,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_8 ),
    inference(forward_demodulation,[],[f378,f2]) ).

fof(f378,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_8 ),
    inference(superposition,[],[f61,f377]) ).

fof(f377,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_8 ),
    inference(forward_demodulation,[],[f375,f38]) ).

fof(f375,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c7)
    | spl0_8 ),
    inference(superposition,[],[f61,f373]) ).

fof(f559,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f558,f418]) ).

fof(f558,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f538,f480]) ).

fof(f480,plain,
    ( sk_c1 = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f477,f418]) ).

fof(f477,plain,
    ( sk_c6 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f420,f466]) ).

fof(f466,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f406,f2]) ).

fof(f406,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f405,f1]) ).

fof(f405,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f3,f381]) ).

fof(f381,plain,
    ( sk_c8 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f317,f380]) ).

fof(f538,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f81,f523]) ).

fof(f523,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f522,f380]) ).

fof(f522,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f513,f1]) ).

fof(f513,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f81,f511]) ).

fof(f511,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f510,f1]) ).

fof(f510,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f509,f387]) ).

fof(f387,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f384,f2]) ).

fof(f384,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f359,f380]) ).

fof(f509,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_8 ),
    inference(forward_demodulation,[],[f508,f380]) ).

fof(f508,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f19,f354]) ).

fof(f1740,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1739,f1152]) ).

fof(f1739,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1738,f560]) ).

fof(f1738,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1705,f418]) ).

fof(f1705,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f331]) ).

fof(f1696,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1695,f511]) ).

fof(f1695,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1694,f523]) ).

fof(f1694,plain,
    ( ! [X7] :
        ( identity != inverse(X7)
        | sk_c6 != multiply(X7,sk_c8) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f91,f511]) ).

fof(f1737,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1736]) ).

fof(f1736,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1735,f1452]) ).

fof(f1735,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1707,f1452]) ).

fof(f1707,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f1704]) ).

fof(f1704,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f145]) ).

fof(f1734,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1733]) ).

fof(f1733,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1732,f1452]) ).

fof(f1732,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1708,f1452]) ).

fof(f1708,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f1703]) ).

fof(f1703,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f2]) ).

fof(f1731,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1730,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1709,f1452]) ).

fof(f1709,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f1702]) ).

fof(f1702,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f1]) ).

fof(f1729,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1728]) ).

fof(f1728,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1727,f1452]) ).

fof(f1727,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1726,f523]) ).

fof(f1726,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1701,f523]) ).

fof(f1701,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f432]) ).

fof(f1725,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1724]) ).

fof(f1724,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1723,f1452]) ).

fof(f1723,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1722,f560]) ).

fof(f1722,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1700,f560]) ).

fof(f1700,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f418]) ).

fof(f1721,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1720]) ).

fof(f1720,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1719,f1452]) ).

fof(f1719,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1718,f560]) ).

fof(f1718,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1717,f1152]) ).

fof(f1717,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1699,f560]) ).

fof(f1699,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f319]) ).

fof(f1716,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1715]) ).

fof(f1715,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1714,f1452]) ).

fof(f1714,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1713,f560]) ).

fof(f1713,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1712,f1152]) ).

fof(f1712,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1711,f38]) ).

fof(f1711,plain,
    ( identity != inverse(inverse(inverse(sk_c1)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1710,f1152]) ).

fof(f1710,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f1697,f560]) ).

fof(f1697,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f1696,f341]) ).

fof(f1693,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1692]) ).

fof(f1692,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1691,f1452]) ).

fof(f1691,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1690,f560]) ).

fof(f1690,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1689,f1152]) ).

fof(f1689,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1688,f560]) ).

fof(f1688,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1655,f418]) ).

fof(f1655,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f331]) ).

fof(f1646,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1645,f523]) ).

fof(f1645,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | sk_c8 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1562,f523]) ).

fof(f1687,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1686]) ).

fof(f1686,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1685,f1452]) ).

fof(f1685,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1657,f1452]) ).

fof(f1657,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1654]) ).

fof(f1654,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f145]) ).

fof(f1684,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

fof(f1683,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1682,f1452]) ).

fof(f1682,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1658,f1452]) ).

fof(f1658,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1653]) ).

fof(f1653,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f2]) ).

fof(f1681,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1680]) ).

fof(f1680,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1659,f1452]) ).

fof(f1659,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1652]) ).

fof(f1652,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f1]) ).

fof(f1679,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1678]) ).

fof(f1678,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1677,f1452]) ).

fof(f1677,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1676,f523]) ).

fof(f1676,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1651,f523]) ).

fof(f1651,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f432]) ).

fof(f1675,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1673,f1452]) ).

fof(f1673,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1672,f560]) ).

fof(f1672,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1650,f560]) ).

fof(f1650,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f418]) ).

fof(f1671,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1670]) ).

fof(f1670,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1669,f1452]) ).

fof(f1669,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1668,f560]) ).

fof(f1668,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1667,f1152]) ).

fof(f1667,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1649,f560]) ).

fof(f1649,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f319]) ).

fof(f1666,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1665]) ).

fof(f1665,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1664,f1452]) ).

fof(f1664,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1663,f560]) ).

fof(f1663,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1662,f1152]) ).

fof(f1662,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1661,f38]) ).

fof(f1661,plain,
    ( identity != inverse(inverse(inverse(sk_c1)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1660,f1152]) ).

fof(f1660,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1647,f560]) ).

fof(f1647,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1646,f341]) ).

fof(f1554,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1553]) ).

fof(f1553,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1552,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f82,plain,
    ( sk_c7 != multiply(sk_c6,sk_c8)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f1551,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1550]) ).

fof(f1550,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f511,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1549,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1548]) ).

fof(f1548,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f632,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f632,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f631,f380]) ).

fof(f631,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f85,f380]) ).

fof(f85,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_4
  <=> ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1547,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1546]) ).

fof(f1546,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f396,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f396,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f391,f380]) ).

fof(f391,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f351,f387]) ).

fof(f1545,plain,
    ( spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1544]) ).

fof(f1544,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1543,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1539,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1538,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1537,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1535,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1534]) ).

fof(f1534,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1311,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1533,plain,
    ( spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1532]) ).

fof(f1532,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1531,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1530,plain,
    ( spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f758,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1528,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1527]) ).

fof(f1527,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f737,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1526,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1525]) ).

fof(f1525,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1211,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1524,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1523,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1250,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1522,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1521]) ).

fof(f1521,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1307,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1520,plain,
    ( spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1519]) ).

fof(f1519,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1452,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1518,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1517,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1445,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1516,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1515]) ).

fof(f1515,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1446,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1514,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1513]) ).

fof(f1513,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1447,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1512,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1511,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1317,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1317,plain,
    ( identity != multiply(sk_c6,sk_c8)
    | spl0_3
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f82,f741]) ).

fof(f1510,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1509]) ).

fof(f1509,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1442,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1442,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_3
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1422,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1508,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1507]) ).

fof(f1507,plain,
    ( $false
    | spl0_3
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1444,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f354,f373,f376,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23]) ).

fof(f1444,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_3
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f741,f1407,f1410,f1306,f1317,f1422,f1442,f1315]) ).

fof(f1506,plain,
    ( spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1505]) ).

fof(f1505,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1504,f1]) ).

fof(f1504,plain,
    ( identity != multiply(identity,identity)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1462,f1465]) ).

fof(f1465,plain,
    ( identity = sk_c8
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1464,f1443]) ).

fof(f1443,plain,
    ( identity = sk_c6
    | spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f355,f727,f748,f765,f768,f769,f146,f1155,f1162,f18,f345,f1149,f20,f730,f726,f728,f16,f17,f772,f26,f22,f24,f27,f23,f741,f1256,f764,f1288,f1261,f1407,f1410,f1306,f1317,f1315,f1428,f1422,f1442,f1313]) ).

fof(f1464,plain,
    ( sk_c8 = sk_c6
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1463,f1]) ).

fof(f1463,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1442,f1460]) ).

fof(f1460,plain,
    ( identity = sk_c5
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1457,f2]) ).

fof(f1457,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f146,f1448]) ).

fof(f1448,plain,
    ( identity = inverse(sk_c5)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f737,f1443]) ).

fof(f1462,plain,
    ( identity != multiply(identity,sk_c8)
    | spl0_3
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1317,f1443]) ).

fof(f1440,plain,
    ( spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1439,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1438,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f736,plain,
    ( sk_c6 != inverse(sk_c5)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f1437,plain,
    ( spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1436,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f749,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1435,plain,
    ( spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f854,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f854,plain,
    ( identity = sk_c6
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f853,f1]) ).

fof(f853,plain,
    ( sk_c6 = multiply(identity,identity)
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f852,f749]) ).

fof(f852,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f851,f741]) ).

fof(f851,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f20,f736]) ).

fof(f1430,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1429]) ).

fof(f1429,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1428,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1424,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1423,plain,
    ( $false
    | spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1422,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1420,plain,
    ( spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1419]) ).

fof(f1419,plain,
    ( $false
    | spl0_3
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1313,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1418,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1417]) ).

fof(f1417,plain,
    ( $false
    | spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1315,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1416,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1415]) ).

fof(f1415,plain,
    ( $false
    | spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1317,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1414,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1306,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1412,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1411]) ).

fof(f1411,plain,
    ( $false
    | spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1410,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1409,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1408,plain,
    ( $false
    | spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1407,f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1406,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | spl0_3
    | spl0_9 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f82,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f26,f22,f24,f27,f23,f736]) ).

fof(f1404,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1403]) ).

fof(f1403,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1402,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f736,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1402,plain,
    ( identity != inverse(sk_c5)
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f736,f1304]) ).

fof(f1401,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1400]) ).

fof(f1400,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1399,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f736,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1396,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1395]) ).

fof(f1395,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1394,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f736,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1391,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1390]) ).

fof(f1390,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1389,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f736,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1387,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1386]) ).

fof(f1386,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1385,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f736,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1384,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1383]) ).

fof(f1383,plain,
    ( $false
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1382,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f736,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1381,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1380]) ).

fof(f1380,plain,
    ( $false
    | spl0_3
    | spl0_7
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1379,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f736,f146,f1155,f1162,f18,f345,f20,f16,f17,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254]) ).

fof(f1379,plain,
    ( identity != multiply(identity,sk_c8)
    | spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1317,f1304]) ).

fof(f1378,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1377]) ).

fof(f1377,plain,
    ( $false
    | spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1376,f1]) ).

fof(f1376,plain,
    ( identity != multiply(identity,identity)
    | spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1375,f1304]) ).

fof(f1375,plain,
    ( identity != multiply(sk_c6,identity)
    | spl0_3
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1317,f1336]) ).

fof(f1301,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1300]) ).

fof(f1300,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f355,f727,f432,f724,f748,f765,f768,f769,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f847,f848,f850,f1080,f146,f1155,f1162,f18,f345,f1153,f1152,f1149,f1208,f456,f422,f343,f318,f1209,f20,f85,f339,f730,f726,f728,f16,f17,f1216,f1228,f1214,f1229,f1081,f809,f1176,f1102,f1077,f1076,f1075,f1074,f1231,f1222,f1100,f1099,f1234,f1221,f1068,f1237,f1238,f1154,f1114,f1113,f1240,f1220,f772,f1109,f1170,f1083,f1082,f942,f941,f350,f26,f22,f1251,f24,f1252,f27,f1253,f23,f1254,f741,f1255,f1256,f764,f825,f1271,f1288,f1261,f1299]) ).

fof(f941,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f940,f741]) ).

fof(f940,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f85,f741]) ).

fof(f942,plain,
    ( ! [X6] :
        ( sk_c1 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f941,f825]) ).

fof(f1082,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1069]) ).

fof(f1069,plain,
    ( sk_c1 != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f319]) ).

fof(f1083,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1067]) ).

fof(f1067,plain,
    ( sk_c1 != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f341]) ).

fof(f1170,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1164]) ).

fof(f1164,plain,
    ( identity != inverse(inverse(sk_c8))
    | sk_c1 != sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f1154,f38]) ).

fof(f1109,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1078,f418]) ).

fof(f1078,plain,
    ( sk_c1 != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f331]) ).

fof(f1220,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1164]) ).

fof(f1240,plain,
    ( identity != inverse(sk_c1)
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1113]) ).

fof(f1113,plain,
    ( identity != inverse(sk_c8)
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1112,f38]) ).

fof(f1112,plain,
    ( identity != inverse(inverse(sk_c1))
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1111,f825]) ).

fof(f1111,plain,
    ( sk_c1 != sk_c8
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1079,f432]) ).

fof(f1079,plain,
    ( sk_c1 != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f779]) ).

fof(f1114,plain,
    ( identity != inverse(sk_c1)
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1113]) ).

fof(f1154,plain,
    ( ! [X0] :
        ( identity != inverse(inverse(inverse(X0)))
        | sk_c1 != X0 )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f146]) ).

fof(f1238,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f310,f30,f311,f28,f312,f21,f9,f6,f4,f32,f313,f31,f314,f15,f12,f10,f8,f7,f14,f13,f38,f81,f316,f321,f317,f326,f319,f315,f335,f325,f340,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f432,f724,f741,f743,f777,f795,f797,f804,f779,f811,f813,f814,f817,f828,f825,f847,f848,f850,f942,f1113,f1114,f1080,f146,f1155,f1162,f1154,f18,f345,f1153,f1152,f1208,f456,f422,f343,f318,f1209,f20,f85,f339,f16,f17,f23,f27,f24,f22,f26,f1216,f1228,f1214,f1229,f1081,f809,f1102,f1077,f1076,f1075,f1074,f1231,f1222,f1100,f1099,f1234,f1221,f1068,f1237]) ).

fof(f1237,plain,
    ( identity != inverse(inverse(sk_c8))
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1236,f38]) ).

fof(f1236,plain,
    ( sk_c1 != sk_c8
    | identity != inverse(inverse(inverse(sk_c1)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1068]) ).

fof(f1068,plain,
    ( sk_c1 != sk_c8
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f847]) ).

fof(f1221,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1069]) ).

fof(f1234,plain,
    ( identity != inverse(sk_c1)
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1099]) ).

fof(f1099,plain,
    ( identity != inverse(sk_c8)
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1098,f38]) ).

fof(f1098,plain,
    ( identity != inverse(inverse(sk_c1))
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1072,f825]) ).

fof(f1072,plain,
    ( sk_c1 != sk_c8
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f743]) ).

fof(f1100,plain,
    ( identity != inverse(sk_c1)
    | sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1099]) ).

fof(f1222,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1073]) ).

fof(f1073,plain,
    ( sk_c1 != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f418]) ).

fof(f1231,plain,
    ( sk_c1 != sk_c8
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1074]) ).

fof(f1074,plain,
    ( sk_c1 != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f432]) ).

fof(f1075,plain,
    ( identity != sk_c1
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f1]) ).

fof(f1076,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f2]) ).

fof(f1077,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f145]) ).

fof(f1102,plain,
    ( sk_c1 != sk_c8
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(inner_rewriting,[],[f1074]) ).

fof(f1176,plain,
    ( identity != inverse(inverse(identity))
    | sk_c1 != sk_c4
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1167,f741]) ).

fof(f1167,plain,
    ( identity != inverse(inverse(sk_c7))
    | sk_c1 != sk_c4
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1154,f355]) ).

fof(f1081,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1073]) ).

fof(f1080,plain,
    ( ! [X0,X1] :
        ( sk_c1 != multiply(X0,multiply(X1,identity))
        | identity != inverse(multiply(X0,X1)) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f942,f3]) ).

fof(f1249,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1248]) ).

fof(f1248,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f23,f1223,f27,f1224,f24,f1225,f22,f1226,f26,f1227,f41,f350]) ).

fof(f41,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f1227,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f41,f23,f1223,f27,f1224,f24,f1225,f22,f1226,f26]) ).

fof(f1226,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f15,f12,f10,f8,f7,f26,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f41,f23,f1223,f27,f1224,f24,f1225,f22]) ).

fof(f1225,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f22,f15,f12,f10,f8,f7,f26,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f41,f23,f1223,f27,f1224,f24]) ).

fof(f1224,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f24,f22,f15,f12,f10,f8,f7,f26,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f41,f23,f1223,f27]) ).

fof(f1223,plain,
    ( sk_c7 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f27,f24,f22,f15,f12,f10,f8,f7,f26,f14,f13,f145,f25,f19,f146,f1155,f1162,f18,f345,f20,f16,f17,f41,f23]) ).

fof(f1219,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1218]) ).

fof(f1218,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f27,f24,f22,f15,f12,f10,f8,f7,f26,f14,f13,f38,f316,f321,f319,f315,f335,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f432,f724,f146,f1155,f1162,f18,f345,f1153,f1152,f1208,f456,f422,f343,f1209,f20,f740,f16,f1214,f1215,f17,f1216,f1217,f41]) ).

fof(f1217,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f27,f24,f22,f15,f12,f10,f8,f7,f26,f14,f13,f38,f316,f321,f319,f315,f335,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f432,f724,f146,f1155,f1162,f18,f345,f1153,f1152,f1208,f456,f422,f343,f1209,f20,f740,f16,f1214,f1215,f17,f1216]) ).

fof(f1215,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f3,f34,f61,f147,f158,f33,f30,f28,f21,f9,f6,f4,f32,f31,f27,f24,f22,f15,f12,f10,f8,f7,f26,f14,f13,f38,f316,f321,f319,f315,f335,f329,f145,f25,f331,f421,f424,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f432,f724,f146,f1155,f1162,f18,f345,f1153,f1152,f1208,f456,f422,f343,f1209,f20,f740,f16,f1214]) ).

fof(f1213,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1212,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f23,f17,f29,f5,f1,f2,f11,f42,f44,f3,f64,f34,f61,f147,f150,f158,f33,f30,f28,f21,f16,f9,f6,f4,f32,f31,f27,f24,f22,f15,f12,f10,f8,f7,f26,f14,f13,f38,f316,f321,f166,f322,f324,f319,f328,f327,f334,f315,f335,f338,f329,f145,f25,f371,f372,f331,f427,f421,f424,f429,f426,f417,f436,f418,f420,f341,f458,f19,f435,f725,f432,f724,f146,f1155,f1162,f18,f1207,f345,f1153,f1152,f1208,f456,f422,f343,f1209,f1210,f20,f740]) ).

fof(f1210,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1117,f417]) ).

fof(f1117,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f1116]) ).

fof(f1116,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4,f327]) ).

fof(f1207,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1206,f417]) ).

fof(f1206,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f16,f327]) ).

fof(f429,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f425,f327]) ).

fof(f425,plain,
    ( sk_c3 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f166,f331]) ).

fof(f427,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f419,f327]) ).

fof(f419,plain,
    ( sk_c3 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f166]) ).

fof(f372,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f324,f327]) ).

fof(f371,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f150,f327]) ).

fof(f338,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f322,f327]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f327]) ).

fof(f327,plain,
    ( sk_c1 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f319,f166]) ).

fof(f328,plain,
    ( sk_c1 = sk_c3
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f166,f319]) ).

fof(f1205,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1204]) ).

fof(f1204,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1203,f1104]) ).

fof(f1104,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1075,f758]) ).

fof(f1203,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1202,f1]) ).

fof(f1202,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1201,f764]) ).

fof(f1201,plain,
    ( sk_c1 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1200,f741]) ).

fof(f1200,plain,
    ( sk_c1 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1199,f825]) ).

fof(f1199,plain,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1198,f1104]) ).

fof(f1198,plain,
    ( identity = sk_c1
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1197,f825]) ).

fof(f1197,plain,
    ( identity = sk_c6
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1196,f1]) ).

fof(f1196,plain,
    ( sk_c6 = multiply(identity,identity)
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1195,f749]) ).

fof(f1195,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | multiply(sk_c4,sk_c7) = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f18,f741]) ).

fof(f1033,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1032]) ).

fof(f1032,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1031,f758]) ).

fof(f1031,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1030,f865]) ).

fof(f865,plain,
    ( identity = sk_c8
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f864,f741]) ).

fof(f864,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f856,f1]) ).

fof(f856,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f81,f854]) ).

fof(f1030,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1029,f38]) ).

fof(f1029,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1028,f825]) ).

fof(f1028,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1027,f865]) ).

fof(f1027,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f966,f432]) ).

fof(f966,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f779]) ).

fof(f943,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f942,f896]) ).

fof(f896,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f895,f741]) ).

fof(f895,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f894,f418]) ).

fof(f894,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f877,f825]) ).

fof(f877,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f81,f865]) ).

fof(f1026,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1025]) ).

fof(f1025,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1024,f758]) ).

fof(f1024,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1023,f758]) ).

fof(f1023,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1022,f865]) ).

fof(f1022,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1021,f896]) ).

fof(f1021,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f965,f418]) ).

fof(f965,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f331]) ).

fof(f1020,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1019]) ).

fof(f1019,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1018,f758]) ).

fof(f1018,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f968,f758]) ).

fof(f968,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f964]) ).

fof(f964,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f145]) ).

fof(f1017,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1016]) ).

fof(f1016,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1015,f758]) ).

fof(f1015,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f969,f758]) ).

fof(f969,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f963]) ).

fof(f963,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f2]) ).

fof(f1014,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1013]) ).

fof(f1013,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f970,f758]) ).

fof(f970,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f962]) ).

fof(f962,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f1]) ).

fof(f1012,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1011,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1010,f758]) ).

fof(f1010,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1009,f865]) ).

fof(f1009,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f961,f865]) ).

fof(f961,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f432]) ).

fof(f1008,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1007]) ).

fof(f1007,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1006,f758]) ).

fof(f1006,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1005,f896]) ).

fof(f1005,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f960,f896]) ).

fof(f960,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f418]) ).

fof(f1004,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1003]) ).

fof(f1003,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1002,f758]) ).

fof(f1002,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1001,f865]) ).

fof(f1001,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1000,f38]) ).

fof(f1000,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f999,f825]) ).

fof(f999,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f959,f865]) ).

fof(f959,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f743]) ).

fof(f998,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f996,f758]) ).

fof(f996,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f995,f758]) ).

fof(f995,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f994,f741]) ).

fof(f994,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f958,f749]) ).

fof(f958,plain,
    ( identity != sk_c2
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f359]) ).

fof(f993,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f992]) ).

fof(f992,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f991,f758]) ).

fof(f991,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f990,f758]) ).

fof(f990,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f989,f865]) ).

fof(f989,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f957,f897]) ).

fof(f897,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f878,f2]) ).

fof(f878,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f166,f865]) ).

fof(f957,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f166]) ).

fof(f988,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f987]) ).

fof(f987,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f986,f758]) ).

fof(f986,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f985,f758]) ).

fof(f985,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f984,f865]) ).

fof(f984,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f956,f896]) ).

fof(f956,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f319]) ).

fof(f983,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f982,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f981,f758]) ).

fof(f981,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f980,f758]) ).

fof(f980,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f979,f758]) ).

fof(f979,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f978,f865]) ).

fof(f978,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f955,f865]) ).

fof(f955,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f847]) ).

fof(f977,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f976,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f975,f758]) ).

fof(f975,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f974,f758]) ).

fof(f974,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f973,f758]) ).

fof(f973,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f972,f758]) ).

fof(f972,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f971,f865]) ).

fof(f971,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f954,f896]) ).

fof(f954,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f943,f341]) ).

fof(f742,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f724,f36,f739,f735]) ).

fof(f723,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f722,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f721,f396]) ).

fof(f721,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f720,f523]) ).

fof(f720,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f719,f38]) ).

fof(f719,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f718,f480]) ).

fof(f718,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f717,f523]) ).

fof(f717,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f648,f386]) ).

fof(f386,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | spl0_8 ),
    inference(superposition,[],[f377,f380]) ).

fof(f648,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f406]) ).

fof(f634,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f633,f560]) ).

fof(f633,plain,
    ( ! [X6] :
        ( sk_c1 != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f632,f480]) ).

fof(f716,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f715]) ).

fof(f715,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f714,f396]) ).

fof(f714,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f713,f396]) ).

fof(f713,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f712,f523]) ).

fof(f712,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f711,f560]) ).

fof(f711,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f647,f418]) ).

fof(f647,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f331]) ).

fof(f710,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f709]) ).

fof(f709,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f708,f396]) ).

fof(f708,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f650,f396]) ).

fof(f650,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f646]) ).

fof(f646,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f145]) ).

fof(f707,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f706]) ).

fof(f706,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f705,f396]) ).

fof(f705,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f651,f396]) ).

fof(f651,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f645]) ).

fof(f645,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f2]) ).

fof(f704,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f703]) ).

fof(f703,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f652,f396]) ).

fof(f652,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f644]) ).

fof(f644,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f1]) ).

fof(f702,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f701]) ).

fof(f701,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f700,f396]) ).

fof(f700,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f699,f560]) ).

fof(f699,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f643,f560]) ).

fof(f643,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f418]) ).

fof(f698,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f697]) ).

fof(f697,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f696,f396]) ).

fof(f696,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f695,f523]) ).

fof(f695,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f642,f523]) ).

fof(f642,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f386]) ).

fof(f694,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f693]) ).

fof(f693,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f692,f396]) ).

fof(f692,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f691,f523]) ).

fof(f691,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f690,f38]) ).

fof(f690,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f689,f480]) ).

fof(f689,plain,
    ( identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f641,f523]) ).

fof(f641,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f381]) ).

fof(f688,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f687]) ).

fof(f687,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f686,f396]) ).

fof(f686,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f685,f396]) ).

fof(f685,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f684,f380]) ).

fof(f684,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f640,f387]) ).

fof(f640,plain,
    ( identity != sk_c2
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f359]) ).

fof(f683,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f682]) ).

fof(f682,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f681,f396]) ).

fof(f681,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f680,f396]) ).

fof(f680,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f679,f523]) ).

fof(f679,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f639,f561]) ).

fof(f561,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f539,f2]) ).

fof(f539,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f166,f523]) ).

fof(f639,plain,
    ( identity != sk_c3
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f166]) ).

fof(f678,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f677]) ).

fof(f677,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f676,f396]) ).

fof(f676,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f675,f396]) ).

fof(f675,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f674,f523]) ).

fof(f674,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f638,f560]) ).

fof(f638,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f319]) ).

fof(f673,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f672]) ).

fof(f672,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f671,f396]) ).

fof(f671,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f670,f396]) ).

fof(f670,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f669,f396]) ).

fof(f669,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f668,f523]) ).

fof(f668,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f637,f523]) ).

fof(f637,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f498]) ).

fof(f498,plain,
    ( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f490,f38]) ).

fof(f490,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c1))),identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(superposition,[],[f455,f480]) ).

fof(f455,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c6))),identity)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8 ),
    inference(forward_demodulation,[],[f339,f380]) ).

fof(f667,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f666]) ).

fof(f666,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f665,f396]) ).

fof(f665,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f664,f396]) ).

fof(f664,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f663,f396]) ).

fof(f663,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f662,f523]) ).

fof(f662,plain,
    ( identity != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f661,f38]) ).

fof(f661,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c1))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f660,f480]) ).

fof(f660,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c6))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f636,f523]) ).

fof(f636,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(inverse(inverse(sk_c6))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f455]) ).

fof(f659,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f658]) ).

fof(f658,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f657,f396]) ).

fof(f657,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f656,f396]) ).

fof(f656,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f655,f396]) ).

fof(f655,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f654,f396]) ).

fof(f654,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f653,f523]) ).

fof(f653,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f635,f560]) ).

fof(f635,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f634,f341]) ).

fof(f356,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f25,f353,f349]) ).

fof(f297,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f14,f26,f20,f32,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f31,f7,f27,f22,f24,f21,f33,f9,f16,f18,f28,f4,f30,f6,f1,f2,f11,f37,f42,f44,f45,f46,f47,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f145,f146,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f166,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f184,f198,f199,f206,f212,f220,f233,f236,f226,f239,f229,f247,f248,f252,f230,f258,f259,f263,f221,f265,f268,f269,f217,f280,f282,f279,f284,f278,f277,f276,f264,f295]) ).

fof(f276,plain,
    ( ! [X0,X1] :
        ( identity != multiply(X0,multiply(X1,identity))
        | identity != inverse(multiply(X0,X1)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f3]) ).

fof(f277,plain,
    ( identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f275]) ).

fof(f275,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f2]) ).

fof(f278,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f274]) ).

fof(f274,plain,
    ( identity != identity
    | identity != inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f1]) ).

fof(f284,plain,
    ( identity != inverse(sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f283,f221]) ).

fof(f283,plain,
    ( identity != multiply(identity,sk_c3)
    | identity != inverse(sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f273,f184]) ).

fof(f273,plain,
    ( identity != multiply(sk_c6,sk_c3)
    | identity != inverse(sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f114]) ).

fof(f279,plain,
    ( identity != inverse(sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f272]) ).

fof(f272,plain,
    ( identity != identity
    | identity != inverse(sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f230]) ).

fof(f282,plain,
    ( identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f281,f221]) ).

fof(f281,plain,
    ( identity != multiply(identity,sk_c3)
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f271,f179]) ).

fof(f271,plain,
    ( identity != multiply(sk_c7,sk_c3)
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f95]) ).

fof(f280,plain,
    ( identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f270]) ).

fof(f270,plain,
    ( identity != identity
    | identity != inverse(sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f217,f229]) ).

fof(f217,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f216,f184]) ).

fof(f216,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,identity)
        | identity != inverse(X6) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f215,f179]) ).

fof(f215,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c6 != multiply(X6,sk_c7) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f85,f179]) ).

fof(f214,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f213]) ).

fof(f213,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f14,f26,f20,f32,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f31,f7,f27,f22,f24,f21,f33,f9,f16,f18,f28,f4,f30,f6,f1,f2,f11,f37,f42,f44,f45,f46,f47,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f82,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f145,f146,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f166,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f184,f198,f199,f206,f208,f212]) ).

fof(f208,plain,
    ( identity != sk_c8
    | spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(forward_demodulation,[],[f207,f179]) ).

fof(f207,plain,
    ( sk_c8 != sk_c7
    | spl0_1
    | spl0_3 ),
    inference(forward_demodulation,[],[f202,f1]) ).

fof(f202,plain,
    ( sk_c7 != multiply(identity,sk_c8)
    | spl0_1
    | spl0_3 ),
    inference(superposition,[],[f82,f184]) ).

fof(f210,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f209]) ).

fof(f209,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f14,f26,f20,f32,f8,f23,f17,f29,f5,f13,f15,f10,f12,f25,f19,f31,f7,f27,f22,f24,f21,f33,f9,f16,f18,f28,f4,f30,f6,f1,f2,f11,f37,f42,f44,f45,f46,f47,f48,f49,f50,f51,f3,f64,f67,f70,f65,f71,f74,f66,f75,f78,f34,f82,f55,f93,f96,f98,f101,f95,f105,f102,f108,f110,f56,f111,f112,f115,f117,f120,f114,f124,f121,f127,f57,f128,f130,f132,f135,f138,f139,f140,f141,f61,f145,f146,f147,f150,f151,f174,f175,f154,f176,f156,f157,f158,f180,f181,f183,f166,f167,f169,f170,f179,f186,f187,f196,f189,f190,f191,f194,f195,f184,f198,f199,f206,f208]) ).

fof(f92,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_4
    | spl0_5
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f34,f90,f87,f87,f84,f84,f80]) ).

fof(f43,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f11,f40,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP261-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n010.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 04:14:50 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (16680)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (16683)WARNING: value z3 for option sas not known
% 0.14/0.37  % (16682)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  % (16684)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (16681)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (16685)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)
% 0.14/0.37  % (16686)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)
% 0.14/0.37  % (16683)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)
% 0.14/0.37  % (16687)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  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]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.41  TRYING [5]
% 0.14/0.41  TRYING [4]
% 0.20/0.45  TRYING [6]
% 0.20/0.45  % (16683)First to succeed.
% 0.20/0.48  % (16683)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (16683)------------------------------
% 0.20/0.49  % (16683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.49  % (16683)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (16683)Memory used [KB]: 1724
% 0.20/0.49  % (16683)Time elapsed: 0.103 s
% 0.20/0.49  % (16683)Instructions burned: 194 (million)
% 0.20/0.49  % (16683)------------------------------
% 0.20/0.49  % (16683)------------------------------
% 0.20/0.49  % (16680)Success in time 0.119 s
%------------------------------------------------------------------------------