%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP305-1 : 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 : n026.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 : Sun May  5 06:00:22 EDT 2024

% Result   : Unsatisfiable 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  631 ( 132 unt;   0 def)
%            Number of atoms       : 2293 (1113 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives : 3065 (1403   ~;1653   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   11 (   9 usr;  10 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  515 ( 515   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2351,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f148,f175,f485,f502,f646,f700,f855,f861,f863,f866,f893,f895,f922,f924,f926,f928,f930,f933,f935,f937,f940,f942,f944,f946,f990,f992,f994,f996,f998,f1000,f1016,f1867,f1882,f1884,f1887,f2198,f2350]) ).

fof(f2350,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2349]) ).

fof(f2349,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f2348,f698]) ).

fof(f698,plain,
    ( identity != sk_c4
    | spl0_7 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f697,plain,
    ( spl0_7
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2348,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f2347,f664]) ).

fof(f664,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f37,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_2
  <=> sk_c4 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f2347,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f2346,f2010]) ).

fof(f2010,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f2009,f402]) ).

fof(f402,plain,
    ( sk_c4 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f387,f150]) ).

fof(f150,plain,
    ( sk_c2 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f149]) ).

fof(f149,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f33]) ).

fof(f33,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_1
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f48,f1]) ).

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

fof(f48,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f39]) ).

fof(f39,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

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

fof(f387,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f298,f290]) ).

fof(f290,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f53,f2]) ).

fof(f53,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f46,f1]) ).

fof(f46,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f298,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f53,f53]) ).

fof(f2009,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f433,f432]) ).

fof(f432,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f401,f33]) ).

fof(f401,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f387,f290]) ).

fof(f433,plain,
    ( inverse(sk_c6) = sk_c1
    | ~ spl0_4 ),
    inference(superposition,[],[f401,f170]) ).

fof(f170,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl0_4
  <=> sk_c6 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2346,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f2345,f2325]) ).

fof(f2325,plain,
    ( identity != sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(superposition,[],[f849,f2301]) ).

fof(f2301,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f2300,f695]) ).

fof(f695,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f693,plain,
    ( spl0_6
  <=> sk_c5 = multiply(sk_c3,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2300,plain,
    ( sk_c6 = multiply(sk_c3,sk_c4)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_demodulation,[],[f2290,f526]) ).

fof(f526,plain,
    ( sk_c3 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f401,f174]) ).

fof(f174,plain,
    ( sk_c5 = inverse(sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl0_5
  <=> sk_c5 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2290,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c4)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f53,f2202]) ).

fof(f2202,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f33,f149,f152,f27,f176,f53,f292,f290,f362,f355,f368,f380,f298,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f483,f465,f452,f433,f384,f383,f354,f353,f305,f304,f296,f288,f180,f17,f14,f16,f18,f29,f21,f22,f12,f7,f432,f529,f530,f537,f538,f451,f573,f6,f8,f9,f11,f13,f650,f652,f653,f655,f656,f657,f648,f289,f488,f487,f457,f453,f410,f403,f370,f367,f23,f28,f24,f4,f698,f388,f1188,f1195,f456,f1239,f1262,f1349,f1373,f1376,f1371,f1381,f1388,f1405,f1494,f1413,f1415,f1416,f1440,f1500,f1507,f1532,f1533,f1534,f1535,f1524,f1624,f1627,f1628,f1629,f1630,f1375,f1682,f1686,f1695,f1696,f1697,f1698,f1700,f1701,f1444,f1758,f1764,f1765,f1785,f1789,f1791,f1731,f2034,f2040,f2044,f2046,f1412,f2081,f2089,f2103,f2114,f2122,f2187,f2185,f2175,f2173,f2171,f2165,f2072,f2069,f2024,f170,f19]) ).

fof(f19,axiom,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f2024,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1731,f386]) ).

fof(f2069,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f2028,f401]) ).

fof(f2028,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(X0))) = X0,
    inference(superposition,[],[f1731,f2]) ).

fof(f2072,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(forward_demodulation,[],[f2071,f401]) ).

fof(f2071,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(X0))) = X0,
    inference(forward_demodulation,[],[f2029,f401]) ).

fof(f2029,plain,
    ! [X0] : multiply(inverse(identity),inverse(inverse(inverse(inverse(X0))))) = X0,
    inference(superposition,[],[f1731,f355]) ).

fof(f2165,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2096,f2]) ).

fof(f2096,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f1412,f386]) ).

fof(f2171,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2099,f386]) ).

fof(f2099,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f1412,f2]) ).

fof(f2173,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2172,f386]) ).

fof(f2172,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f2100,f401]) ).

fof(f2100,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f1412,f355]) ).

fof(f2175,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2104,f2]) ).

fof(f2104,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f386,f1412]) ).

fof(f2185,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2110,f386]) ).

fof(f2110,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f2,f1412]) ).

fof(f2187,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f2186,f386]) ).

fof(f2186,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(forward_demodulation,[],[f2111,f401]) ).

fof(f2111,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f355,f1412]) ).

fof(f2122,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = multiply(inverse(X0),multiply(inverse(X1),X2)),
    inference(superposition,[],[f3,f1412]) ).

fof(f2114,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f298,f1412]) ).

fof(f2103,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1412,f298]) ).

fof(f2089,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1412,f401]) ).

fof(f2081,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f1412,f401]) ).

fof(f1412,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f53,f1371]) ).

fof(f2046,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1524,f1731]) ).

fof(f2044,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1731]) ).

fof(f2040,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1440,f1731]) ).

fof(f2034,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1731,f3]) ).

fof(f1731,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1681,f401]) ).

fof(f1681,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1375,f1371]) ).

fof(f1791,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1524,f1444]) ).

fof(f1789,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1444]) ).

fof(f1785,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1440,f1444]) ).

fof(f1765,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1444,f388]) ).

fof(f1764,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1444,f53]) ).

fof(f1758,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1444,f3]) ).

fof(f1444,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1391,f401]) ).

fof(f1391,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1371,f1371]) ).

fof(f1701,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1375]) ).

fof(f1700,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f388,f1375]) ).

fof(f1698,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1375]) ).

fof(f1697,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f53,f1375]) ).

fof(f1696,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f456,f1375]) ).

fof(f1695,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1371,f1375]) ).

fof(f1686,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1375,f3]) ).

fof(f1682,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1375,f1375]) ).

fof(f1375,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1283,f387]) ).

fof(f1283,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f388,f456]) ).

fof(f1630,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1524]) ).

fof(f1629,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f53,f1524]) ).

fof(f1628,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f456,f1524]) ).

fof(f1627,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1371,f1524]) ).

fof(f1624,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1524,f3]) ).

fof(f1524,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1440,f401]) ).

fof(f1535,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1440]) ).

fof(f1534,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f53,f1440]) ).

fof(f1533,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f456,f1440]) ).

fof(f1532,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1371,f1440]) ).

fof(f1507,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1440,f388]) ).

fof(f1500,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1440,f3]) ).

fof(f1440,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1387,f401]) ).

fof(f1387,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1371,f53]) ).

fof(f1416,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1371]) ).

fof(f1415,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f388,f1371]) ).

fof(f1413,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1371]) ).

fof(f1494,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1411,f401]) ).

fof(f1411,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f456,f1371]) ).

fof(f1405,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1371,f3]) ).

fof(f1388,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1371,f388]) ).

fof(f1381,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1371,f3]) ).

fof(f1371,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1280,f387]) ).

fof(f1280,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f53,f456]) ).

fof(f1376,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1284,f3]) ).

fof(f1284,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f456]) ).

fof(f1373,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1372,f3]) ).

fof(f1372,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1281,f1]) ).

fof(f1281,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f456]) ).

fof(f1349,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1270,f3]) ).

fof(f1270,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f456,f3]) ).

fof(f1262,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f456,f3]) ).

fof(f1239,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f456,f3]) ).

fof(f456,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f386,f3]) ).

fof(f1195,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f388]) ).

fof(f1188,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f388,f3]) ).

fof(f388,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f298,f53]) ).

fof(f4,axiom,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f24,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c4 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f28,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f23,axiom,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | sk_c4 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f367,plain,
    identity = inverse(identity),
    inference(superposition,[],[f355,f290]) ).

fof(f370,plain,
    identity = inverse(identity),
    inference(superposition,[],[f290,f355]) ).

fof(f403,plain,
    identity = inverse(identity),
    inference(superposition,[],[f387,f2]) ).

fof(f410,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f387]) ).

fof(f453,plain,
    identity = inverse(identity),
    inference(superposition,[],[f386,f1]) ).

fof(f457,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f386]) ).

fof(f487,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f411,f401]) ).

fof(f411,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f355,f387]) ).

fof(f488,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f404,f401]) ).

fof(f404,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f387,f355]) ).

fof(f289,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f53,f1]) ).

fof(f648,plain,
    ( identity = sk_c4
    | sk_c5 = multiply(sk_c3,sk_c4)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f647,f451]) ).

fof(f647,plain,
    ( sk_c4 = multiply(sk_c2,sk_c6)
    | sk_c5 = multiply(sk_c3,sk_c4)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f23,f538]) ).

fof(f657,plain,
    ( sk_c4 = sk_c2
    | sk_c4 = multiply(sk_c5,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f14,f432]) ).

fof(f656,plain,
    ( sk_c4 = sk_c2
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f16,f432]) ).

fof(f655,plain,
    ( sk_c4 = sk_c2
    | sk_c5 = multiply(sk_c3,sk_c4)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f18,f432]) ).

fof(f653,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != sk_c2
        | sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f29,f432]) ).

fof(f652,plain,
    ( identity = sk_c4
    | sk_c4 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f651,f451]) ).

fof(f651,plain,
    ( sk_c4 = multiply(sk_c2,sk_c6)
    | sk_c4 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f19,f538]) ).

fof(f650,plain,
    ( identity = sk_c4
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f649,f451]) ).

fof(f649,plain,
    ( sk_c4 = multiply(sk_c2,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f21,f538]) ).

fof(f13,axiom,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | sk_c6 = multiply(sk_c5,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f11,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | sk_c6 = multiply(sk_c5,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f9,axiom,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | sk_c6 = multiply(sk_c5,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

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

fof(f6,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | multiply(sk_c6,sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f573,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f571,f1]) ).

fof(f571,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f451]) ).

fof(f451,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f386,f33]) ).

fof(f538,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f433,f432]) ).

fof(f537,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f533,f401]) ).

fof(f533,plain,
    ( identity = multiply(inverse(inverse(sk_c2)),sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f355,f432]) ).

fof(f530,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f53,f432]) ).

fof(f529,plain,
    ( identity = multiply(sk_c2,sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f432]) ).

fof(f7,axiom,
    ( sk_c5 = inverse(sk_c3)
    | multiply(sk_c6,sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f22,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c4 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f21,axiom,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f29,axiom,
    ! [X3,X4,X5] :
      ( sk_c4 != inverse(sk_c6)
      | sk_c5 != inverse(X5)
      | sk_c6 != inverse(X3)
      | sk_c6 != inverse(X4)
      | sk_c4 != multiply(sk_c5,sk_c6)
      | sk_c5 != multiply(X5,sk_c4)
      | sk_c4 != multiply(X3,sk_c6)
      | sk_c6 != multiply(sk_c5,sk_c4)
      | sk_c6 != multiply(X4,sk_c5)
      | multiply(sk_c6,sk_c5) != sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f18,axiom,
    ( sk_c4 = inverse(sk_c6)
    | sk_c5 = multiply(sk_c3,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f16,axiom,
    ( sk_c4 = inverse(sk_c6)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

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

fof(f17,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c4 = inverse(sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f178,f1]) ).

fof(f178,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f176]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_4 ),
    inference(superposition,[],[f53,f170]) ).

fof(f296,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f53,f152]) ).

fof(f304,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f53,f149]) ).

fof(f305,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f53,f176]) ).

fof(f353,plain,
    ( sk_c2 = multiply(inverse(sk_c6),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f290,f33]) ).

fof(f354,plain,
    ( sk_c1 = multiply(inverse(sk_c6),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f290,f170]) ).

fof(f383,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f298,f33]) ).

fof(f384,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_4 ),
    inference(superposition,[],[f298,f170]) ).

fof(f452,plain,
    ( identity = multiply(sk_c1,sk_c6)
    | ~ spl0_4 ),
    inference(superposition,[],[f386,f170]) ).

fof(f465,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f386]) ).

fof(f483,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f463,f1]) ).

fof(f463,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f386]) ).

fof(f386,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f298,f2]) ).

fof(f440,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f401]) ).

fof(f439,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f53,f401]) ).

fof(f429,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f418,f387]) ).

fof(f418,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f298,f387]) ).

fof(f408,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f290,f387]) ).

fof(f423,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f406,f387]) ).

fof(f406,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f387,f298]) ).

fof(f394,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f53,f298]) ).

fof(f393,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f290,f298]) ).

fof(f391,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f53,f298]) ).

fof(f390,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f298]) ).

fof(f380,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f369,f1]) ).

fof(f369,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f355]) ).

fof(f368,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f53,f355]) ).

fof(f355,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f53,f290]) ).

fof(f362,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f356,f1]) ).

fof(f356,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f290]) ).

fof(f292,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f53,f3]) ).

fof(f176,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f170]) ).

fof(f27,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f152,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f151,f1]) ).

fof(f151,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f149]) ).

fof(f25,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f5,axiom,
    ( sk_c6 = inverse(sk_c2)
    | multiply(sk_c6,sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f20,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c4 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f15,axiom,
    ( sk_c4 = inverse(sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f849,plain,
    ( identity != sk_c5
    | spl0_8 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl0_8
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2345,plain,
    ( identity = sk_c6
    | sk_c4 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f2344,f664]) ).

fof(f2344,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | sk_c4 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f938,f2301]) ).

fof(f938,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c4 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f21,f402]) ).

fof(f2198,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1968,f848,f697,f35,f31,f146,f146,f146]) ).

fof(f146,plain,
    ( spl0_3
  <=> ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1968,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1967,f1]) ).

fof(f1967,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(identity,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1966,f1025]) ).

fof(f1025,plain,
    ( identity = sk_c6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f917,f699]) ).

fof(f699,plain,
    ( identity = sk_c4
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f917,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f916]) ).

fof(f916,plain,
    ( sk_c6 = sk_c4
    | sk_c6 = sk_c4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f915,f387]) ).

fof(f915,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | sk_c6 = sk_c4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f914,f850]) ).

fof(f850,plain,
    ( identity = sk_c5
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f914,plain,
    ( sk_c6 = sk_c4
    | multiply(sk_c6,sk_c5) = sk_c4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f913,f1]) ).

fof(f913,plain,
    ( sk_c4 = multiply(identity,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f4,f850]) ).

fof(f1966,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(sk_c6,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1965,f850]) ).

fof(f1965,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(sk_c6,sk_c5)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1964,f699]) ).

fof(f1964,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1963,f1025]) ).

fof(f1963,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1962,f850]) ).

fof(f1962,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1961,f1025]) ).

fof(f1961,plain,
    ( ! [X3,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1960,f1]) ).

fof(f1960,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(identity,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1959,f850]) ).

fof(f1959,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(sk_c5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1958,f699]) ).

fof(f1958,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1957,f699]) ).

fof(f1957,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1956,f1025]) ).

fof(f1956,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1955,f850]) ).

fof(f1955,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1954,f699]) ).

fof(f1954,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1953,f850]) ).

fof(f1953,plain,
    ( ! [X3,X4,X5] :
        ( identity != sk_c5
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1952,f699]) ).

fof(f1952,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != sk_c4
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1951,f387]) ).

fof(f1951,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(sk_c5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1950,f1025]) ).

fof(f1950,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1949,f1025]) ).

fof(f1949,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1948,f1025]) ).

fof(f1948,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f654,f850]) ).

fof(f654,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f653,f1,f2,f15,f37,f39,f3,f56,f62,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13]) ).

fof(f62,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f29,f37]) ).

fof(f1887,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f1886]) ).

fof(f1886,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1885,f401]) ).

fof(f1885,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1877,f401]) ).

fof(f1877,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1872]) ).

fof(f1872,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(superposition,[],[f147,f355]) ).

fof(f147,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f1884,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f1883]) ).

fof(f1883,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1878,f401]) ).

fof(f1878,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1871]) ).

fof(f1871,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f147,f2]) ).

fof(f1882,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1881,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1879,f1034]) ).

fof(f1034,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1026,f699]) ).

fof(f1026,plain,
    ( sk_c4 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f37,f1025]) ).

fof(f1879,plain,
    ( identity != inverse(identity)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1870]) ).

fof(f1870,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f147,f1]) ).

fof(f1867,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1231,f848,f697,f693,f172,f168,f35,f31,f146,f146,f146]) ).

fof(f1231,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1230,f1]) ).

fof(f1230,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(identity,identity)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1229,f1025]) ).

fof(f1229,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(sk_c6,sk_c6)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1228,f970]) ).

fof(f970,plain,
    ( sk_c6 = sk_c5
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f962,f695]) ).

fof(f962,plain,
    ( sk_c6 = multiply(sk_c3,sk_c4)
    | spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f960,f526]) ).

fof(f960,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c4)
    | spl0_4 ),
    inference(superposition,[],[f53,f947]) ).

fof(f947,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f4,f24,f28,f23,f19]) ).

fof(f169,plain,
    ( sk_c6 != inverse(sk_c1)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f1228,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(sk_c6,sk_c5)
        | identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1227,f699]) ).

fof(f1227,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1226,f1025]) ).

fof(f1226,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(X4,sk_c6)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1225,f970]) ).

fof(f1225,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1224,f387]) ).

fof(f1224,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(sk_c6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1223,f970]) ).

fof(f1223,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(sk_c5,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1222,f699]) ).

fof(f1222,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1221,f699]) ).

fof(f1221,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1220,f1025]) ).

fof(f1220,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1219,f1025]) ).

fof(f1219,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1218,f970]) ).

fof(f1218,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1217,f699]) ).

fof(f1217,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1216,f1025]) ).

fof(f1216,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1215,f1025]) ).

fof(f1215,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1214,f1025]) ).

fof(f1214,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1213,f970]) ).

fof(f1213,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(sk_c5,sk_c4)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f654,f947]) ).

fof(f1016,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1015]) ).

fof(f1015,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1014,f698]) ).

fof(f1014,plain,
    ( identity = sk_c4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1010,f1]) ).

fof(f1010,plain,
    ( sk_c4 = multiply(identity,identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f850]) ).

fof(f957,plain,
    ( sk_c4 = multiply(sk_c5,sk_c5)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f955,f174]) ).

fof(f955,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c5)
    | ~ spl0_6 ),
    inference(superposition,[],[f53,f695]) ).

fof(f1000,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f999]) ).

fof(f999,plain,
    ( $false
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f897,f903,f905,f911,f289,f488,f487,f457,f453,f410,f403,f370,f367,f19,f23,f28,f24,f4,f853,f958,f917,f850]) ).

fof(f958,plain,
    ( identity != sk_c5
    | spl0_9 ),
    inference(superposition,[],[f853,f1]) ).

fof(f853,plain,
    ( identity != multiply(identity,sk_c5)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f852,plain,
    ( spl0_9
  <=> identity = multiply(identity,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f911,plain,
    ( sk_c6 = sk_c4
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f910,f1]) ).

fof(f910,plain,
    ( sk_c4 = multiply(identity,sk_c6)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f24,f850]) ).

fof(f905,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f28,f850]) ).

fof(f903,plain,
    ( identity = multiply(sk_c3,sk_c4)
    | sk_c4 = multiply(sk_c1,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f23,f850]) ).

fof(f897,plain,
    ( sk_c6 = sk_c4
    | sk_c4 = multiply(sk_c1,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f896,f1]) ).

fof(f896,plain,
    ( sk_c4 = multiply(identity,sk_c6)
    | sk_c4 = multiply(sk_c1,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f19,f850]) ).

fof(f998,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f871,f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f850,f897,f903,f905,f911,f289,f488,f487,f457,f453,f410,f403,f370,f367,f19,f23,f28,f24,f4,f853,f958,f917]) ).

fof(f871,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f526,f850]) ).

fof(f996,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f995]) ).

fof(f995,plain,
    ( $false
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f850,f897,f903,f905,f911,f289,f488,f487,f457,f453,f410,f403,f370,f367,f19,f23,f28,f24,f4,f853,f958,f917]) ).

fof(f994,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f993]) ).

fof(f993,plain,
    ( $false
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f850,f897,f903,f905,f911,f917,f289,f488,f487,f457,f453,f410,f403,f370,f367,f19,f23,f28,f24,f4,f853,f958]) ).

fof(f992,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f991]) ).

fof(f991,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f39,f3,f56,f62,f26,f20,f10,f5,f25,f33,f149,f150,f154,f152,f155,f158,f162,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f383,f353,f304,f296,f17,f14,f16,f18,f29,f21,f22,f12,f7,f174,f522,f523,f527,f432,f529,f530,f537,f526,f543,f544,f551,f548,f520,f562,f451,f573,f525,f6,f8,f9,f11,f13,f653,f654,f655,f656,f657,f476,f409,f443,f402,f658,f659,f661,f37,f666,f667,f671,f670,f431,f672,f682,f677,f664,f669,f521,f578,f289,f673,f918,f691,f660,f919,f686,f665,f488,f487,f457,f453,f410,f403,f370,f367,f19,f938,f23,f949,f28,f950,f931,f951,f24,f952,f4,f953,f849,f169,f695,f954,f956,f947,f959,f961,f948,f965,f964,f957,f968,f962,f971,f974,f970,f976,f977,f978,f987,f980,f981,f983,f988,f985]) ).

fof(f985,plain,
    ( sk_c4 = multiply(sk_c6,sk_c6)
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f957,f970]) ).

fof(f988,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f984,f664]) ).

fof(f984,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f948,f970]) ).

fof(f983,plain,
    ( sk_c4 = multiply(sk_c6,sk_c6)
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f947,f970]) ).

fof(f981,plain,
    ( identity != sk_c6
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(superposition,[],[f849,f970]) ).

fof(f980,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f578,f970]) ).

fof(f987,plain,
    ( sk_c4 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f986,f402]) ).

fof(f986,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_1
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f979,f432]) ).

fof(f979,plain,
    ( sk_c3 = inverse(sk_c6)
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f526,f970]) ).

fof(f978,plain,
    ( identity = multiply(sk_c3,sk_c6)
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f525,f970]) ).

fof(f977,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f521,f970]) ).

fof(f976,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f520,f970]) ).

fof(f974,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f962]) ).

fof(f971,plain,
    ( sk_c6 = sk_c5
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f695,f962]) ).

fof(f968,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f957]) ).

fof(f964,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f3,f948]) ).

fof(f965,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f963,f431]) ).

fof(f963,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f53,f948]) ).

fof(f948,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f15,f39,f3,f56,f62,f26,f20,f10,f5,f25,f33,f149,f150,f154,f152,f155,f158,f162,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f383,f353,f304,f296,f17,f14,f16,f18,f29,f21,f22,f12,f7,f432,f529,f530,f537,f451,f573,f6,f8,f9,f11,f13,f653,f654,f655,f656,f657,f476,f409,f443,f402,f658,f659,f661,f37,f666,f667,f671,f670,f431,f672,f682,f677,f664,f669,f289,f673,f918,f691,f660,f919,f686,f665,f488,f487,f457,f453,f410,f403,f370,f367,f169,f4,f24,f931,f28,f23,f19,f947,f938]) ).

fof(f961,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_4 ),
    inference(superposition,[],[f3,f947]) ).

fof(f959,plain,
    ( sk_c6 = multiply(sk_c3,sk_c4)
    | spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f578,f947]) ).

fof(f956,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f695]) ).

fof(f954,plain,
    ( sk_c4 = multiply(sk_c5,sk_c5)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f521,f695]) ).

fof(f953,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f19,f947,f23,f949,f28,f950,f24,f952,f4]) ).

fof(f952,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f4,f19,f947,f23,f949,f28,f950,f24]) ).

fof(f951,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f15,f39,f3,f56,f62,f26,f20,f10,f5,f25,f33,f149,f150,f154,f152,f155,f158,f162,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f383,f353,f304,f296,f17,f14,f16,f18,f29,f21,f22,f12,f7,f432,f529,f530,f537,f451,f573,f6,f8,f9,f11,f13,f653,f654,f655,f656,f657,f476,f409,f443,f402,f658,f659,f661,f37,f666,f667,f671,f670,f431,f672,f682,f677,f664,f669,f289,f673,f918,f691,f660,f919,f686,f665,f488,f487,f457,f453,f410,f403,f370,f367,f169,f4,f24,f19,f947,f938,f948,f23,f949,f28,f950,f931]) ).

fof(f931,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f26,f402]) ).

fof(f950,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f4,f24,f19,f947,f23,f949,f28]) ).

fof(f949,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | spl0_4 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f4,f24,f28,f19,f947,f23]) ).

fof(f665,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f53,f37]) ).

fof(f686,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f684,f1]) ).

fof(f684,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f664]) ).

fof(f919,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f573,f402]) ).

fof(f660,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f152,f402]) ).

fof(f691,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f688,f1]) ).

fof(f688,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f669]) ).

fof(f918,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f530,f402]) ).

fof(f673,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f53,f431]) ).

fof(f578,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f576,f1]) ).

fof(f576,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f525]) ).

fof(f521,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f53,f174]) ).

fof(f669,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f386,f37]) ).

fof(f677,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f386,f431]) ).

fof(f682,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f676,f401]) ).

fof(f676,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f355,f431]) ).

fof(f672,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f431]) ).

fof(f431,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f401,f37]) ).

fof(f670,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f401,f37]) ).

fof(f671,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f668,f401]) ).

fof(f668,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f355,f37]) ).

fof(f667,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c4),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f298,f37]) ).

fof(f666,plain,
    ( sk_c6 = multiply(inverse(sk_c4),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f290,f37]) ).

fof(f661,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f451,f402]) ).

fof(f659,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f149,f402]) ).

fof(f658,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f33,f402]) ).

fof(f443,plain,
    ( sk_c4 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f432,f37]) ).

fof(f409,plain,
    ( sk_c4 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f150,f387]) ).

fof(f476,plain,
    ( sk_c4 = sk_c2
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f475,f37]) ).

fof(f475,plain,
    ( sk_c2 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f458,f150]) ).

fof(f458,plain,
    ( inverse(sk_c6) = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f386]) ).

fof(f525,plain,
    ( identity = multiply(sk_c3,sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f386,f174]) ).

fof(f562,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f560,f1]) ).

fof(f560,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f520]) ).

fof(f520,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f174]) ).

fof(f548,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f386,f526]) ).

fof(f551,plain,
    ( identity = multiply(sk_c3,sk_c5)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f547,f401]) ).

fof(f547,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f355,f526]) ).

fof(f544,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f53,f526]) ).

fof(f543,plain,
    ( identity = multiply(sk_c3,sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f526]) ).

fof(f527,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f524,f401]) ).

fof(f524,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f355,f174]) ).

fof(f523,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f298,f174]) ).

fof(f522,plain,
    ( sk_c3 = multiply(inverse(sk_c5),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f290,f174]) ).

fof(f162,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f158,f39]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f152,f155]) ).

fof(f155,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f152]) ).

fof(f154,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f153,f1]) ).

fof(f153,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f150]) ).

fof(f990,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f989]) ).

fof(f989,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f39,f3,f56,f62,f26,f20,f10,f5,f25,f33,f149,f150,f154,f152,f155,f158,f162,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f383,f353,f304,f296,f17,f14,f16,f18,f29,f21,f22,f12,f7,f174,f522,f523,f527,f432,f529,f530,f537,f526,f543,f544,f551,f548,f520,f562,f451,f573,f525,f6,f8,f9,f11,f13,f653,f654,f655,f656,f657,f476,f409,f443,f402,f658,f659,f661,f37,f666,f667,f671,f670,f431,f672,f682,f677,f664,f669,f521,f578,f289,f673,f918,f691,f660,f919,f686,f665,f488,f487,f457,f453,f410,f403,f370,f367,f19,f938,f23,f949,f28,f950,f931,f951,f24,f952,f4,f953,f849,f169,f695,f954,f956,f947,f959,f961,f948,f965,f964,f957,f968,f962,f971,f974,f970,f976,f977,f978,f987,f980,f981,f983,f988]) ).

fof(f946,plain,
    ( spl0_4
    | spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f945]) ).

fof(f945,plain,
    ( $false
    | spl0_4
    | spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f849,f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24,f28,f23,f19]) ).

fof(f694,plain,
    ( sk_c5 != multiply(sk_c3,sk_c4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f944,plain,
    ( spl0_4
    | spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f943]) ).

fof(f943,plain,
    ( $false
    | spl0_4
    | spl0_6
    | spl0_9 ),
    inference(global_subsumption,[],[f853,f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24,f28,f23,f19]) ).

fof(f942,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f941]) ).

fof(f941,plain,
    ( $false
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24,f28,f23,f19]) ).

fof(f940,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f939]) ).

fof(f939,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f938,f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24,f28,f23]) ).

fof(f937,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f936]) ).

fof(f936,plain,
    ( $false
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24,f28,f23]) ).

fof(f935,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f934]) ).

fof(f934,plain,
    ( $false
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24,f28]) ).

fof(f933,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f932]) ).

fof(f932,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f931,f1,f2,f15,f3,f28,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24]) ).

fof(f930,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f929]) ).

fof(f929,plain,
    ( $false
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4,f24]) ).

fof(f928,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f927]) ).

fof(f927,plain,
    ( $false
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694,f4]) ).

fof(f926,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f925]) ).

fof(f925,plain,
    ( $false
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169,f694]) ).

fof(f924,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f923]) ).

fof(f923,plain,
    ( $false
    | spl0_4
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13,f694,f289,f488,f487,f457,f453,f410,f403,f370,f367,f169]) ).

fof(f922,plain,
    ( spl0_4
    | spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f921]) ).

fof(f921,plain,
    ( $false
    | spl0_4
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13,f694,f850,f897,f898,f903,f904,f905,f906,f911,f912,f917,f289,f488,f487,f457,f453,f410,f403,f370,f367,f920,f169]) ).

fof(f920,plain,
    ( identity != multiply(sk_c3,sk_c4)
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f694,f850]) ).

fof(f912,plain,
    ( sk_c6 = inverse(sk_c1)
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13,f694,f850,f897,f898,f903,f904,f905,f906,f911]) ).

fof(f906,plain,
    ( sk_c6 = inverse(sk_c1)
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f905,f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13,f694]) ).

fof(f904,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13,f694,f850,f897,f898,f903]) ).

fof(f898,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f897,f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f17,f14,f16,f18,f29,f19,f21,f23,f22,f12,f7,f4,f6,f8,f9,f11,f13,f694]) ).

fof(f895,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f894]) ).

fof(f894,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f883,f850]) ).

fof(f883,plain,
    ( identity != sk_c5
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f775,f875]) ).

fof(f875,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f874,f729]) ).

fof(f729,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f724,f2]) ).

fof(f724,plain,
    ( sk_c6 = multiply(inverse(identity),identity)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f290,f710]) ).

fof(f710,plain,
    ( identity = inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f401,f703]) ).

fof(f703,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f431,f699]) ).

fof(f874,plain,
    ( sk_c6 = sk_c3
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f871,f703]) ).

fof(f775,plain,
    ( sk_c5 != sk_c3
    | spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f774,f387]) ).

fof(f774,plain,
    ( sk_c5 != multiply(sk_c3,identity)
    | spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f694,f699]) ).

fof(f893,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f892]) ).

fof(f892,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f891,f850]) ).

fof(f891,plain,
    ( identity != sk_c5
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f882,f1]) ).

fof(f882,plain,
    ( sk_c5 != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f774,f875]) ).

fof(f866,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f865]) ).

fof(f865,plain,
    ( $false
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f864,f849]) ).

fof(f864,plain,
    ( identity = sk_c5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f858,f2]) ).

fof(f858,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f53,f854]) ).

fof(f854,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f863,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f862]) ).

fof(f862,plain,
    ( $false
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f857,f849]) ).

fof(f857,plain,
    ( identity = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f1,f854]) ).

fof(f861,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f860]) ).

fof(f860,plain,
    ( $false
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f856,f849]) ).

fof(f856,plain,
    ( identity = sk_c5
    | ~ spl0_9 ),
    inference(superposition,[],[f854,f1]) ).

fof(f855,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f846,f697,f35,f852,f848]) ).

fof(f846,plain,
    ( identity = multiply(identity,sk_c5)
    | identity = sk_c5
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f845,f729]) ).

fof(f845,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | identity = sk_c5
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f844,f699]) ).

fof(f844,plain,
    ( identity = sk_c5
    | multiply(sk_c6,sk_c5) = sk_c4
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f843,f699]) ).

fof(f843,plain,
    ( sk_c5 = sk_c4
    | multiply(sk_c6,sk_c5) = sk_c4
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f842,f387]) ).

fof(f842,plain,
    ( sk_c4 = multiply(sk_c5,identity)
    | multiply(sk_c6,sk_c5) = sk_c4
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f4,f729]) ).

fof(f700,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f648,f168,f31,f697,f693]) ).

fof(f646,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f645]) ).

fof(f645,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f33,f149,f152,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f383,f370,f367,f353,f304,f296,f289,f17,f503,f14,f16,f18,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9,f513,f8,f514,f6,f515,f4,f516,f22,f517,f12,f518,f7,f519,f36,f174,f521,f522,f523,f527,f432,f529,f530,f537,f528,f504,f541,f526,f543,f544,f551,f548,f505,f552,f554,f506,f557,f520,f562,f555,f564,f558,f567,f451,f573,f525,f578,f542,f580,f589,f594,f591,f597,f598,f590,f600,f601,f602,f603,f604,f606,f607,f614,f613,f617,f620,f615,f630,f623,f624,f625,f634,f629,f641,f642,f644]) ).

fof(f644,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f643,f615]) ).

fof(f643,plain,
    ( sk_c5 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f602,f613]) ).

fof(f642,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f639,f615]) ).

fof(f639,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f506,f629]) ).

fof(f641,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f638,f615]) ).

fof(f638,plain,
    ( sk_c5 = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f591,f629]) ).

fof(f629,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f628,f601]) ).

fof(f628,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f621,f1]) ).

fof(f621,plain,
    ( sk_c4 = multiply(identity,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f504,f615]) ).

fof(f634,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f627,f1]) ).

fof(f627,plain,
    ( sk_c4 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f558,f615]) ).

fof(f625,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f526,f615]) ).

fof(f624,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f525,f615]) ).

fof(f623,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f520,f615]) ).

fof(f630,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f622,f601]) ).

fof(f622,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f505,f615]) ).

fof(f615,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f610,f1]) ).

fof(f610,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f555,f601]) ).

fof(f620,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f618,f525]) ).

fof(f618,plain,
    ( sk_c5 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f506,f613]) ).

fof(f617,plain,
    ( sk_c5 = multiply(sk_c5,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f591,f613]) ).

fof(f613,plain,
    ( sk_c5 = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f608,f387]) ).

fof(f608,plain,
    ( sk_c4 = multiply(sk_c5,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f504,f601]) ).

fof(f614,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f609,f1]) ).

fof(f609,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f542,f601]) ).

fof(f607,plain,
    ( identity = multiply(sk_c2,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f451,f601]) ).

fof(f606,plain,
    ( sk_c2 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f432,f601]) ).

fof(f604,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f152,f601]) ).

fof(f603,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f149,f601]) ).

fof(f602,plain,
    ( sk_c4 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f36,f601]) ).

fof(f601,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f599,f2]) ).

fof(f599,plain,
    ( sk_c6 = multiply(inverse(sk_c4),sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f53,f590]) ).

fof(f600,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f590]) ).

fof(f590,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f582,f558]) ).

fof(f582,plain,
    ( multiply(sk_c4,sk_c6) = multiply(sk_c5,sk_c5)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f542,f555]) ).

fof(f598,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c2,X0))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f3,f591]) ).

fof(f597,plain,
    ( sk_c2 = multiply(inverse(sk_c4),sk_c5)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f53,f591]) ).

fof(f591,plain,
    ( sk_c5 = multiply(sk_c4,sk_c2)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f583,f387]) ).

fof(f583,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c4,sk_c2)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f542,f149]) ).

fof(f594,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f585,f526]) ).

fof(f585,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c4,X0))
    | spl0_2 ),
    inference(superposition,[],[f53,f542]) ).

fof(f589,plain,
    ( sk_c5 = multiply(sk_c4,sk_c2)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f588,f387]) ).

fof(f588,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c4,sk_c2)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f581,f432]) ).

fof(f581,plain,
    ( multiply(sk_c5,identity) = multiply(sk_c4,inverse(sk_c6))
    | spl0_2 ),
    inference(superposition,[],[f542,f386]) ).

fof(f580,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c2,X0))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f542,f152]) ).

fof(f542,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f504]) ).

fof(f567,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f558]) ).

fof(f558,plain,
    ( sk_c4 = multiply(sk_c5,sk_c5)
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f556,f174]) ).

fof(f556,plain,
    ( sk_c4 = multiply(inverse(sk_c3),sk_c5)
    | spl0_2 ),
    inference(superposition,[],[f53,f506]) ).

fof(f564,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f3,f555]) ).

fof(f555,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f553,f33]) ).

fof(f553,plain,
    ( sk_c5 = multiply(inverse(sk_c2),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f53,f505]) ).

fof(f557,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c4,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f506]) ).

fof(f506,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f23,f21,f19,f36,f17,f503,f14,f504,f16,f505,f18]) ).

fof(f554,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f505]) ).

fof(f552,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f152,f505]) ).

fof(f505,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f23,f21,f19,f18,f36,f17,f503,f14,f504,f16]) ).

fof(f541,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c4)
    | spl0_2 ),
    inference(superposition,[],[f53,f504]) ).

fof(f504,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f23,f21,f19,f18,f16,f36,f17,f503,f14]) ).

fof(f528,plain,
    ( sk_c4 != sk_c2
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f36,f432]) ).

fof(f36,plain,
    ( sk_c4 != inverse(sk_c6)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f519,plain,
    ( sk_c5 = inverse(sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9,f513,f8,f514,f6,f515,f4,f516,f22,f517,f12,f518,f7]) ).

fof(f518,plain,
    ( sk_c5 = inverse(sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9,f513,f8,f514,f6,f515,f4,f516,f22,f517,f12]) ).

fof(f517,plain,
    ( sk_c5 = inverse(sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9,f513,f8,f514,f6,f515,f4,f516,f22]) ).

fof(f516,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9,f513,f8,f514,f6,f515,f4]) ).

fof(f515,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9,f513,f8,f514,f6]) ).

fof(f514,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9,f513,f8]) ).

fof(f513,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11,f512,f9]) ).

fof(f512,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13,f511,f11]) ).

fof(f511,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23,f510,f13]) ).

fof(f510,plain,
    ( sk_c5 = multiply(sk_c3,sk_c4)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21,f509,f23]) ).

fof(f509,plain,
    ( sk_c6 = multiply(sk_c2,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f23,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19,f508,f21]) ).

fof(f508,plain,
    ( sk_c4 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f23,f21,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29,f507,f19]) ).

fof(f507,plain,
    ( sk_c4 != inverse(sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f23,f21,f19,f36,f17,f503,f14,f504,f16,f505,f18,f506,f29]) ).

fof(f503,plain,
    ( sk_c5 = inverse(sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f289,f23,f21,f19,f18,f16,f14,f36,f17]) ).

fof(f502,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f501]) ).

fof(f501,plain,
    ( $false
    | spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f189,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23,f491,f21,f492,f19,f493,f190,f186,f191,f495,f496,f18,f497,f16,f498,f14,f499,f500,f36]) ).

fof(f500,plain,
    ( sk_c4 = inverse(sk_c6)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f17,f173]) ).

fof(f499,plain,
    ( sk_c4 = inverse(sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f189,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23,f491,f21,f492,f19,f493,f190,f186,f191,f495,f496,f18,f497,f16,f498,f14]) ).

fof(f498,plain,
    ( sk_c4 = inverse(sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f189,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23,f491,f21,f492,f19,f493,f190,f186,f191,f495,f496,f18,f497,f16]) ).

fof(f497,plain,
    ( sk_c4 = inverse(sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f14,f16,f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f189,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23,f491,f21,f492,f19,f493,f190,f186,f191,f495,f496,f18]) ).

fof(f496,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f18,f14,f16,f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f189,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23,f491,f21,f492,f19,f493,f190,f186,f191,f495]) ).

fof(f495,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != inverse(sk_c6)
        | sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_5 ),
    inference(subsumption_resolution,[],[f494,f184]) ).

fof(f494,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != inverse(sk_c6)
        | sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | spl0_5 ),
    inference(subsumption_resolution,[],[f29,f189]) ).

fof(f191,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f22,f173]) ).

fof(f186,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f184]) ).

fof(f190,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f189]) ).

fof(f493,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f18,f14,f16,f29,f1,f2,f15,f3,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f186,f189,f190,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23,f491,f21,f492,f19]) ).

fof(f492,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f18,f14,f16,f29,f1,f2,f15,f3,f19,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f186,f189,f190,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23,f491,f21]) ).

fof(f491,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | spl0_5 ),
    inference(global_subsumption,[],[f17,f18,f14,f16,f29,f1,f2,f15,f3,f21,f19,f13,f11,f9,f8,f6,f4,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f173,f184,f186,f189,f190,f53,f292,f290,f362,f355,f368,f380,f298,f388,f390,f391,f393,f394,f387,f423,f408,f429,f401,f439,f440,f386,f456,f483,f465,f457,f453,f487,f410,f488,f403,f370,f367,f303,f301,f289,f23]) ).

fof(f301,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c4)
    | spl0_5 ),
    inference(superposition,[],[f53,f184]) ).

fof(f303,plain,
    ( sk_c4 = multiply(inverse(sk_c5),sk_c6)
    | spl0_5 ),
    inference(superposition,[],[f53,f189]) ).

fof(f189,plain,
    ( sk_c6 = multiply(sk_c5,sk_c4)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f12,f173]) ).

fof(f184,plain,
    ( multiply(sk_c6,sk_c5) = sk_c4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f7,f173]) ).

fof(f173,plain,
    ( sk_c5 != inverse(sk_c3)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f485,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f350,f172,f168,f35,f31,f146,f146,f146]) ).

fof(f350,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f349,f214]) ).

fof(f214,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f213,f197]) ).

fof(f197,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f193,f39]) ).

fof(f193,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f192,f155]) ).

fof(f192,plain,
    ( sk_c4 = multiply(sk_c2,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f191,f179]) ).

fof(f179,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f177,f150]) ).

fof(f177,plain,
    ( sk_c1 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f56,f176]) ).

fof(f213,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f208,f1]) ).

fof(f208,plain,
    ( sk_c4 = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f192,f205]) ).

fof(f205,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f201,f1]) ).

fof(f201,plain,
    ( sk_c2 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f150,f197]) ).

fof(f349,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f348,f207]) ).

fof(f207,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f203,f1]) ).

fof(f203,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(superposition,[],[f185,f197]) ).

fof(f185,plain,
    ( sk_c5 = multiply(sk_c4,sk_c4)
    | ~ spl0_2
    | spl0_5 ),
    inference(superposition,[],[f56,f184]) ).

fof(f348,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f347,f197]) ).

fof(f347,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f346,f214]) ).

fof(f346,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f345,f207]) ).

fof(f345,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f344,f197]) ).

fof(f344,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f343,f197]) ).

fof(f343,plain,
    ( ! [X3,X4,X5] :
        ( identity != sk_c4
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f342,f1]) ).

fof(f342,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(identity,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f341,f207]) ).

fof(f341,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(sk_c5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f340,f214]) ).

fof(f340,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f339,f214]) ).

fof(f339,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f338,f214]) ).

fof(f338,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(forward_demodulation,[],[f337,f207]) ).

fof(f337,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | ~ spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f336,f184]) ).

fof(f336,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | ~ spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f62,f189]) ).

fof(f175,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f172,f168]) ).

fof(f148,plain,
    ( spl0_3
    | spl0_3
    | spl0_3
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f129,f35,f31,f146,f146,f146]) ).

fof(f129,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f128,f86]) ).

fof(f86,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f85,f1]) ).

fof(f85,plain,
    ( sk_c6 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f83,f74]) ).

fof(f74,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f72,f39]) ).

fof(f72,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f68]) ).

fof(f68,plain,
    ( sk_c6 = multiply(sk_c6,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f57,f44]) ).

fof(f44,plain,
    ( sk_c4 = multiply(sk_c1,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f32]) ).

fof(f32,plain,
    ( sk_c6 != inverse(sk_c2)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f41]) ).

fof(f41,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | spl0_1 ),
    inference(superposition,[],[f2,f40]) ).

fof(f40,plain,
    ( sk_c6 = inverse(sk_c1)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f25,f32]) ).

fof(f83,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f81]) ).

fof(f81,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f78,f1]) ).

fof(f78,plain,
    ( sk_c5 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f58,f74]) ).

fof(f58,plain,
    ( sk_c5 = multiply(sk_c4,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f56,f42]) ).

fof(f42,plain,
    ( multiply(sk_c6,sk_c5) = sk_c4
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f32]) ).

fof(f43,plain,
    ( sk_c6 = multiply(sk_c5,sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f32]) ).

fof(f128,plain,
    ( ! [X3,X4,X5] :
        ( sk_c6 != multiply(X4,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f127,f81]) ).

fof(f127,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f126,f74]) ).

fof(f126,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(X3,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f125,f86]) ).

fof(f125,plain,
    ( ! [X3,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f124,f81]) ).

fof(f124,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f123,f74]) ).

fof(f123,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f122,f74]) ).

fof(f122,plain,
    ( ! [X3,X4,X5] :
        ( identity != sk_c4
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f121,f1]) ).

fof(f121,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(identity,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f81]) ).

fof(f120,plain,
    ( ! [X3,X4,X5] :
        ( sk_c4 != multiply(sk_c5,identity)
        | identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f119,f86]) ).

fof(f119,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f118,f86]) ).

fof(f118,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X5)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f86]) ).

fof(f117,plain,
    ( ! [X3,X4,X5] :
        ( identity != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f64,f81]) ).

fof(f64,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f63,f42]) ).

fof(f63,plain,
    ( ! [X3,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c6 != inverse(X3)
        | sk_c6 != inverse(X4)
        | sk_c4 != multiply(sk_c5,sk_c6)
        | sk_c5 != multiply(X5,sk_c4)
        | sk_c4 != multiply(X3,sk_c6)
        | sk_c6 != multiply(X4,sk_c5)
        | multiply(sk_c6,sk_c5) != sk_c4 )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f62,f43]) ).

fof(f38,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f15,f35,f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP305-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 20:45:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (11459)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (11462)WARNING: value z3 for option sas not known
% 0.15/0.39  % (11463)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (11460)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (11461)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (11465)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39  % (11464)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39  % (11466)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39  % (11462)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [5]
% 0.22/0.44  % (11462)First to succeed.
% 0.22/0.45  % (11462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11459"
% 0.22/0.45  TRYING [6]
% 0.22/0.45  % (11462)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46  % (11462)------------------------------
% 0.22/0.46  % (11462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46  % (11462)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (11462)Memory used [KB]: 1578
% 0.22/0.46  % (11462)Time elapsed: 0.063 s
% 0.22/0.46  % (11462)Instructions burned: 121 (million)
% 0.22/0.46  % (11459)Success in time 0.084 s
%------------------------------------------------------------------------------