%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP223-1 : 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 : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:53:14 EDT 2024

% Result   : Unsatisfiable 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   48
% Syntax   : Number of formulae    : 1021 (  48 unt;   0 def)
%            Number of atoms       : 3984 (1237 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 5826 (2863   ~;2949   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   16 (  14 usr;  15 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  284 ( 284   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2308,plain,
    $false,
    inference(avatar_sat_refutation,[],[f46,f128,f142,f478,f596,f826,f1008,f1168,f1248,f1253,f1257,f1261,f1265,f1273,f1281,f1284,f1287,f1292,f1297,f1302,f1307,f1310,f1313,f1317,f1322,f1328,f1333,f1337,f1341,f1375,f1380,f1387,f1394,f1400,f1406,f1410,f1414,f1418,f1421,f1425,f1429,f1431,f1434,f1437,f1441,f1446,f1453,f1459,f1465,f1471,f1501,f1507,f1516,f1524,f1531,f1538,f1543,f1548,f1553,f1557,f1562,f1567,f1570,f1574,f1578,f1583,f1589,f1597,f1605,f1612,f1619,f1657,f1675,f1699,f1712,f1719,f1731,f1735,f1737,f1739,f1747,f1754,f1756,f1759,f1762,f1764,f1766,f1768,f1770,f1772,f1774,f1776,f1778,f1780,f1782,f1784,f1786,f1788,f1790,f1811,f1827,f1845,f1850,f1852,f1854,f1856,f1858,f1860,f1913,f1958,f1968,f1997,f1999,f2002,f2086,f2206,f2208,f2210,f2212,f2214,f2217,f2220,f2223,f2226,f2280,f2296,f2298,f2301,f2304,f2307]) ).

fof(f2307,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2306]) ).

fof(f2306,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2305,f808]) ).

fof(f808,plain,
    identity = inverse(identity),
    inference(superposition,[],[f500,f2]) ).

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

fof(f500,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f63,f320]) ).

fof(f320,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f63,f1]) ).

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

fof(f63,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

fof(f2305,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2290,f2022]) ).

fof(f2022,plain,
    ( identity = sk_c2
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f2016,f1]) ).

fof(f2016,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1950,f595]) ).

fof(f595,plain,
    ( identity = sk_c9
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f593,plain,
    ( spl0_12
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1950,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f137]) ).

fof(f137,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl0_6
  <=> sk_c9 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2290,plain,
    ( identity != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2289]) ).

fof(f2289,plain,
    ( identity != identity
    | identity != inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f2283,f2016]) ).

fof(f2283,plain,
    ( ! [X9] :
        ( identity != multiply(identity,X9)
        | identity != inverse(X9) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2282,f595]) ).

fof(f2282,plain,
    ( ! [X9] :
        ( identity != multiply(identity,X9)
        | sk_c9 != inverse(X9) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2281,f2145]) ).

fof(f2145,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f334,f321]) ).

fof(f321,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f63,f2]) ).

fof(f334,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f63,f63]) ).

fof(f2281,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | sk_c9 != inverse(X9) )
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f121,f595]) ).

fof(f121,plain,
    ( ! [X9] :
        ( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl0_3
  <=> ! [X9] :
        ( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f2304,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2303]) ).

fof(f2303,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2302,f808]) ).

fof(f2302,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2291,f2031]) ).

fof(f2031,plain,
    ( identity = sk_c6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f1977,f1]) ).

fof(f1977,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f480,f595]) ).

fof(f480,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f141]) ).

fof(f141,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl0_7
  <=> sk_c9 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2291,plain,
    ( identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2288]) ).

fof(f2288,plain,
    ( identity != identity
    | identity != inverse(sk_c6)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f2283,f1977]) ).

fof(f2301,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2300]) ).

fof(f2300,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2299,f808]) ).

fof(f2299,plain,
    ( identity != inverse(identity)
    | spl0_1
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2292,f1003]) ).

fof(f1003,plain,
    ( identity = sk_c7
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f1001,plain,
    ( spl0_13
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f2292,plain,
    ( identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2287]) ).

fof(f2287,plain,
    ( identity != identity
    | identity != inverse(sk_c7)
    | spl0_1
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(superposition,[],[f2283,f1985]) ).

fof(f1985,plain,
    ( identity = multiply(identity,sk_c7)
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1920,f595]) ).

fof(f1920,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1919,f75]) ).

fof(f75,plain,
    ( sk_c9 = sk_c8
    | spl0_1 ),
    inference(superposition,[],[f72,f52]) ).

fof(f52,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f40]) ).

fof(f40,plain,
    ( inverse(sk_c1) != sk_c9
    | spl0_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl0_1
  <=> inverse(sk_c1) = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f72,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f67,f53]) ).

fof(f53,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f40]) ).

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

fof(f67,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f62,f1]) ).

fof(f62,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f49,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f2,f48]) ).

fof(f48,plain,
    ( sk_c9 = inverse(sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f40]) ).

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

fof(f1919,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f40]) ).

fof(f2298,plain,
    ( ~ spl0_3
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2297]) ).

fof(f2297,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2293,f2161]) ).

fof(f2161,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f2145,f321]) ).

fof(f2293,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2286]) ).

fof(f2286,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(superposition,[],[f2283,f2144]) ).

fof(f2144,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f334,f2]) ).

fof(f2296,plain,
    ( ~ spl0_3
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2295]) ).

fof(f2295,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2294,f808]) ).

fof(f2294,plain,
    ( identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2285]) ).

fof(f2285,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(superposition,[],[f2283,f2145]) ).

fof(f2280,plain,
    ( spl0_9
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f2228,f593,f126,f473]) ).

fof(f473,plain,
    ( spl0_9
  <=> ! [X3] :
        ( identity != inverse(X3)
        | identity != multiply(X3,identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f126,plain,
    ( spl0_5
  <=> ! [X3] :
        ( sk_c9 != multiply(X3,sk_c9)
        | sk_c9 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2228,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | identity != multiply(X3,identity) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2227,f595]) ).

fof(f2227,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | sk_c9 != inverse(X3) )
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f127,f595]) ).

fof(f127,plain,
    ( ! [X3] :
        ( sk_c9 != multiply(X3,sk_c9)
        | sk_c9 != inverse(X3) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f2226,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2225]) ).

fof(f2225,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2224,f1]) ).

fof(f2224,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2197,f595]) ).

fof(f2197,plain,
    ( identity != multiply(sk_c9,identity)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f137]) ).

fof(f2192,plain,
    ( ! [X6] : identity != multiply(inverse(X6),identity)
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f9,f33,f63,f324,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f1628,f1634,f10,f11,f13,f37,f12,f28,f30,f22,f23,f29,f24,f16,f17,f18,f19,f31,f25,f20,f8,f7,f6,f4,f124,f26,f32,f595,f334,f2144,f2146,f2149,f2150,f2152,f2153,f2145,f2161,f2185,f2170,f2189,f2191]) ).

fof(f2191,plain,
    ( ! [X6] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(inverse(X6),identity) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2190,f595]) ).

fof(f2190,plain,
    ( ! [X6] :
        ( identity != multiply(inverse(X6),identity)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f124,f595]) ).

fof(f2189,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f2180,f2145]) ).

fof(f2180,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f334,f2145]) ).

fof(f2170,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f321,f2145]) ).

fof(f2185,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f2168,f2145]) ).

fof(f2168,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f2145,f334]) ).

fof(f2153,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f63,f334]) ).

fof(f2152,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f321,f334]) ).

fof(f2150,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f63,f334]) ).

fof(f2149,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f334]) ).

fof(f2146,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f334,f63]) ).

fof(f32,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f124,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl0_4
  <=> ! [X6] :
        ( sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(X6,inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f4,axiom,
    ( inverse(sk_c1) = sk_c9
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,axiom,
    ( inverse(sk_c1) = sk_c9
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f25,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f31,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c9,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

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

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f17,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f24,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f29,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f23,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f22,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f30,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f28,axiom,
    ( sk_c9 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f12,axiom,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | sk_c9 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f37,plain,
    ! [X3,X6,X9,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,inverse(X6)) ),
    inference(equality_resolution,[],[f36]) ).

fof(f36,plain,
    ! [X3,X8,X6,X9,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | sk_c8 != multiply(sk_c9,X8)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,inverse(X6))
      | multiply(X9,sk_c9) != X8 ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X3,X8,X6,X9,X4,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | sk_c8 != multiply(sk_c9,X8)
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,inverse(X6))
      | multiply(X5,sk_c9) != X4
      | multiply(X9,sk_c9) != X8 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c9 != inverse(X9)
      | sk_c9 != inverse(X3)
      | sk_c9 != inverse(X5)
      | inverse(X6) != X7
      | sk_c8 != multiply(sk_c9,X8)
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != multiply(X7,sk_c8)
      | sk_c9 != multiply(X3,sk_c8)
      | sk_c9 != multiply(X6,X7)
      | multiply(X5,sk_c9) != X4
      | multiply(X9,sk_c9) != X8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

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

fof(f11,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f10,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f1634,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | sk_c8 = sk_c3
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1011,f595]) ).

fof(f1011,plain,
    ( sk_c8 = sk_c3
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1010,f1]) ).

fof(f1010,plain,
    ( sk_c8 = multiply(identity,sk_c3)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f18,f595]) ).

fof(f1628,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != multiply(identity,multiply(X5,identity))
        | sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1627,f595]) ).

fof(f1627,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != multiply(identity,multiply(X5,identity))
        | sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1626,f595]) ).

fof(f1626,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != multiply(identity,multiply(X5,identity))
        | sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1625,f595]) ).

fof(f1625,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,multiply(X5,identity))
        | sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1126,f595]) ).

fof(f1126,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1125,f595]) ).

fof(f1125,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1124,f595]) ).

fof(f1124,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1123,f595]) ).

fof(f1123,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f37,f595]) ).

fof(f1209,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f1197,f1]) ).

fof(f1197,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f801]) ).

fof(f1196,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f63,f801]) ).

fof(f801,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f63,f321]) ).

fof(f811,plain,
    ! [X0] : multiply(inverse(inverse(inverse(identity))),X0) = X0,
    inference(superposition,[],[f63,f500]) ).

fof(f810,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f500]) ).

fof(f807,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f802,f1]) ).

fof(f802,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f321]) ).

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

fof(f21,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f324,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f63,f3]) ).

fof(f33,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f5,axiom,
    ( sk_c5 = inverse(sk_c4)
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f2223,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2222]) ).

fof(f2222,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2221,f1]) ).

fof(f2221,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2196,f595]) ).

fof(f2196,plain,
    ( identity != multiply(sk_c9,identity)
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f141]) ).

fof(f2220,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2219]) ).

fof(f2219,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2218,f1]) ).

fof(f2218,plain,
    ( identity != multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2195,f595]) ).

fof(f2195,plain,
    ( identity != multiply(sk_c9,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f1870]) ).

fof(f1870,plain,
    ( sk_c9 = inverse(sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f45,f79]) ).

fof(f79,plain,
    ( sk_c9 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f78,f68]) ).

fof(f68,plain,
    ( sk_c5 = multiply(sk_c5,sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f50]) ).

fof(f50,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4,f40]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f47]) ).

fof(f47,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f45]) ).

fof(f78,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(superposition,[],[f51,f75]) ).

fof(f51,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f40]) ).

fof(f45,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2217,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2216]) ).

fof(f2216,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2215,f1]) ).

fof(f2215,plain,
    ( identity != multiply(identity,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2194,f1981]) ).

fof(f1981,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1978,f808]) ).

fof(f1978,plain,
    ( sk_c4 = inverse(identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f1877,f595]) ).

fof(f1877,plain,
    ( sk_c4 = inverse(sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f699,f79]) ).

fof(f699,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f696,f534]) ).

fof(f534,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f341]) ).

fof(f341,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f47]) ).

fof(f331,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f66]) ).

fof(f696,plain,
    ( inverse(sk_c5) = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f535,f681]) ).

fof(f681,plain,
    ( identity = multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f564,f2]) ).

fof(f564,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f468,f535]) ).

fof(f468,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f467,f1]) ).

fof(f467,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f453]) ).

fof(f453,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f341]) ).

fof(f535,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f63]) ).

fof(f2194,plain,
    ( identity != multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f1877]) ).

fof(f2214,plain,
    ( ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2213]) ).

fof(f2213,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2193,f1]) ).

fof(f2193,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f808]) ).

fof(f2212,plain,
    ( ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2211]) ).

fof(f2211,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2200]) ).

fof(f2200,plain,
    ( identity != identity
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f2]) ).

fof(f2210,plain,
    ( ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2209]) ).

fof(f2209,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2201]) ).

fof(f2201,plain,
    ( identity != identity
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f320]) ).

fof(f2208,plain,
    ( ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2207]) ).

fof(f2207,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2202]) ).

fof(f2202,plain,
    ( identity != identity
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f500]) ).

fof(f2206,plain,
    ( ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2205]) ).

fof(f2205,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2203]) ).

fof(f2203,plain,
    ( identity != identity
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f2192,f801]) ).

fof(f2086,plain,
    ( spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2085,plain,
    ( $false
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2084,f595]) ).

fof(f2084,plain,
    ( identity != sk_c9
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2078,f808]) ).

fof(f2078,plain,
    ( sk_c9 != inverse(identity)
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f40,f2072]) ).

fof(f2072,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f2066,f2]) ).

fof(f2066,plain,
    ( ! [X0] : multiply(inverse(sk_c1),X0) = X0
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2065,f1]) ).

fof(f2065,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c1),multiply(identity,X0))
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f2063]) ).

fof(f2063,plain,
    ( identity = multiply(inverse(sk_c1),identity)
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2062,f595]) ).

fof(f2062,plain,
    ( sk_c9 = multiply(inverse(sk_c1),identity)
    | spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2061,f75]) ).

fof(f2061,plain,
    ( sk_c8 = multiply(inverse(sk_c1),identity)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1800,f595]) ).

fof(f1800,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c9)
    | ~ spl0_11 ),
    inference(superposition,[],[f63,f591]) ).

fof(f591,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f589,plain,
    ( spl0_11
  <=> sk_c9 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2002,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2001]) ).

fof(f2001,plain,
    ( $false
    | spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f2000,f1002]) ).

fof(f1002,plain,
    ( identity != sk_c7
    | spl0_13 ),
    inference(avatar_component_clause,[],[f1001]) ).

fof(f2000,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1994,f2]) ).

fof(f1994,plain,
    ( sk_c7 = multiply(inverse(identity),identity)
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f63,f1985]) ).

fof(f1999,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1998]) ).

fof(f1998,plain,
    ( $false
    | spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1993,f1002]) ).

fof(f1993,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f1,f1985]) ).

fof(f1997,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1996]) ).

fof(f1996,plain,
    ( $false
    | spl0_1
    | ~ spl0_12
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1992,f1002]) ).

fof(f1992,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f1985,f1]) ).

fof(f1968,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1967]) ).

fof(f1967,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1966,f594]) ).

fof(f594,plain,
    ( identity != sk_c9
    | spl0_12 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f1966,plain,
    ( identity = sk_c9
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1964,f2]) ).

fof(f1964,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f1918]) ).

fof(f1918,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1917,f79]) ).

fof(f1917,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1 ),
    inference(forward_demodulation,[],[f1916,f75]) ).

fof(f1916,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f40]) ).

fof(f1958,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1957]) ).

fof(f1957,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1956,f1009]) ).

fof(f1009,plain,
    ( identity != sk_c3
    | spl0_14 ),
    inference(superposition,[],[f1006,f1]) ).

fof(f1006,plain,
    ( identity != multiply(identity,sk_c3)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1005,plain,
    ( spl0_14
  <=> identity = multiply(identity,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1956,plain,
    ( identity = sk_c3
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(forward_demodulation,[],[f1954,f2]) ).

fof(f1954,plain,
    ( sk_c3 = multiply(inverse(sk_c9),sk_c9)
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(superposition,[],[f63,f1892]) ).

fof(f1892,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | spl0_1
    | ~ spl0_2
    | spl0_12 ),
    inference(forward_demodulation,[],[f1840,f75]) ).

fof(f1840,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_2
    | spl0_12 ),
    inference(global_subsumption,[],[f1,f2,f5,f45,f47,f3,f66,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f341,f455,f453,f26,f25,f20,f14,f27,f21,f15,f320,f331,f536,f537,f539,f540,f533,f545,f546,f534,f542,f535,f466,f559,f468,f566,f565,f571,f569,f572,f574,f587,f557,f675,f677,f564,f686,f687,f681,f700,f699,f775,f779,f321,f807,f500,f810,f811,f808,f774,f801,f1196,f1209,f10,f11,f13,f37,f12,f594,f18,f19,f28,f30,f22,f23,f29,f24,f16,f17]) ).

fof(f774,plain,
    ( identity = sk_c9
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f16,f533]) ).

fof(f779,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c3,X0))
    | ~ spl0_2
    | spl0_12 ),
    inference(superposition,[],[f3,f775]) ).

fof(f775,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_2
    | spl0_12 ),
    inference(subsumption_resolution,[],[f774,f594]) ).

fof(f700,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f697,f341]) ).

fof(f697,plain,
    ( inverse(sk_c5) = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f681]) ).

fof(f687,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f564]) ).

fof(f686,plain,
    ( identity = multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f564]) ).

fof(f677,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f676,f1]) ).

fof(f676,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c5)))),multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f557]) ).

fof(f675,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c5))))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f557]) ).

fof(f557,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c5)))),sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f466]) ).

fof(f587,plain,
    ( identity = sk_c9
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f10,f533]) ).

fof(f574,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f573,f1]) ).

fof(f573,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f569]) ).

fof(f572,plain,
    ( sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c5)))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f569]) ).

fof(f569,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c5))),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f565]) ).

fof(f571,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f570,f1]) ).

fof(f570,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c5)),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f565]) ).

fof(f565,plain,
    ( sk_c5 = multiply(inverse(inverse(sk_c5)),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f468,f533]) ).

fof(f566,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f468]) ).

fof(f559,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f558,f1]) ).

fof(f558,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(inverse(inverse(sk_c5))),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f466]) ).

fof(f466,plain,
    ( sk_c4 = multiply(inverse(inverse(inverse(sk_c5))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f453]) ).

fof(f542,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f533]) ).

fof(f546,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f544,f1]) ).

fof(f544,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f533]) ).

fof(f545,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f543,f45]) ).

fof(f543,plain,
    ( sk_c5 = multiply(inverse(sk_c4),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f533]) ).

fof(f533,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f2]) ).

fof(f540,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f331]) ).

fof(f539,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f341,f331]) ).

fof(f537,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c5)),multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f331]) ).

fof(f536,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f331]) ).

fof(f455,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f454,f1]) ).

fof(f454,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f341]) ).

fof(f1913,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1912,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1911,f594]) ).

fof(f1911,plain,
    ( identity = sk_c9
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f1909,f2]) ).

fof(f1909,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c9)
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f63,f1887]) ).

fof(f1887,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f1886,f79]) ).

fof(f1886,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | spl0_1
    | spl0_6 ),
    inference(forward_demodulation,[],[f1829,f75]) ).

fof(f1829,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_6 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f16,f24,f22,f136,f28,f1828,f30]) ).

fof(f1828,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | spl0_6 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f16,f24,f22,f30,f136,f28]) ).

fof(f136,plain,
    ( sk_c9 != inverse(sk_c2)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f1860,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1859]) ).

fof(f1859,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f32,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1748,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18,f1841,f829,f19,f31,f1848,f1820,f1721,f25,f1002]) ).

fof(f1721,plain,
    ( identity = sk_c7
    | sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1720,f503]) ).

fof(f1720,plain,
    ( sk_c7 = multiply(sk_c1,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f26,f491]) ).

fof(f1820,plain,
    ( identity = sk_c7
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1819,f503]) ).

fof(f1819,plain,
    ( sk_c7 = multiply(sk_c1,sk_c9)
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f32,f491]) ).

fof(f1848,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f32,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18,f1841,f19,f31]) ).

fof(f829,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f828,f503]) ).

fof(f828,plain,
    ( sk_c7 = multiply(sk_c1,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f20,f491]) ).

fof(f1841,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_6 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f19,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18]) ).

fof(f1836,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | spl0_6 ),
    inference(global_subsumption,[],[f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16]) ).

fof(f1835,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_6 ),
    inference(global_subsumption,[],[f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f16,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24]) ).

fof(f1833,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_6 ),
    inference(global_subsumption,[],[f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f16,f24,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29]) ).

fof(f1832,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_6 ),
    inference(global_subsumption,[],[f29,f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f16,f24,f136,f28,f1828,f30,f1829,f22,f1831,f23]) ).

fof(f1831,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | spl0_6 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f16,f24,f136,f28,f1828,f30,f1829,f22]) ).

fof(f1748,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_13 ),
    inference(subsumption_resolution,[],[f829,f1002]) ).

fof(f1710,plain,
    ( identity = sk_c7
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1709,f503]) ).

fof(f1709,plain,
    ( sk_c7 = multiply(sk_c1,sk_c9)
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f14,f491]) ).

fof(f740,plain,
    ( sk_c1 = inverse(sk_c9)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f736,f504]) ).

fof(f736,plain,
    ( multiply(sk_c1,identity) = inverse(sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f505,f718]) ).

fof(f741,plain,
    ( sk_c1 = inverse(sk_c9)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f737,f335]) ).

fof(f737,plain,
    ( inverse(sk_c9) = multiply(inverse(sk_c9),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f718]) ).

fof(f718,plain,
    ( identity = multiply(sk_c9,inverse(sk_c9))
    | ~ spl0_1 ),
    inference(superposition,[],[f576,f2]) ).

fof(f725,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c9))),multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f576]) ).

fof(f724,plain,
    ( identity = multiply(sk_c9,inverse(sk_c9))
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f576]) ).

fof(f576,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(inverse(sk_c9)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f498,f505]) ).

fof(f680,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c9)))),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f679,f1]) ).

fof(f679,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c9)))),multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f560]) ).

fof(f678,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c9))))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f560]) ).

fof(f560,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c9)))),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f496]) ).

fof(f586,plain,
    ( ! [X0] : multiply(inverse(inverse(inverse(sk_c9))),multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f585,f1]) ).

fof(f585,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c9))),multiply(sk_c9,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f581]) ).

fof(f584,plain,
    ( sk_c9 = multiply(inverse(inverse(inverse(inverse(sk_c9)))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f581]) ).

fof(f581,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c9))),sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f577]) ).

fof(f583,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(inverse(sk_c9)),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f582,f1]) ).

fof(f582,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(inverse(sk_c9)),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f577]) ).

fof(f577,plain,
    ( sk_c9 = multiply(inverse(inverse(sk_c9)),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f498,f503]) ).

fof(f578,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c9))),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f498]) ).

fof(f498,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c9)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f497,f1]) ).

fof(f497,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c9)),multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f484]) ).

fof(f562,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c9))),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f561,f1]) ).

fof(f561,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c9))),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f496]) ).

fof(f496,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(sk_c9))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f484]) ).

fof(f505,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f329,f63]) ).

fof(f512,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f131,f503]) ).

fof(f504,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f329,f335]) ).

fof(f516,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f514,f1]) ).

fof(f514,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c9,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f503]) ).

fof(f515,plain,
    ( sk_c9 = multiply(sk_c9,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f513,f41]) ).

fof(f513,plain,
    ( sk_c9 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f503]) ).

fof(f503,plain,
    ( identity = multiply(sk_c1,sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f329,f2]) ).

fof(f510,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f329]) ).

fof(f509,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f335,f329]) ).

fof(f507,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c9)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f329]) ).

fof(f506,plain,
    ( identity = multiply(sk_c1,sk_c9)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f329]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f131]) ).

fof(f484,plain,
    ( identity = multiply(inverse(inverse(sk_c9)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f335]) ).

fof(f491,plain,
    ( sk_c1 = sk_c6
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f481,f335]) ).

fof(f486,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f485,f1]) ).

fof(f485,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c9),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f335]) ).

fof(f335,plain,
    ( sk_c1 = multiply(inverse(sk_c9),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f63,f129]) ).

fof(f483,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f482,f1]) ).

fof(f482,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f480]) ).

fof(f481,plain,
    ( sk_c6 = multiply(inverse(sk_c9),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f63,f480]) ).

fof(f479,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f63,f141]) ).

fof(f131,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f130,f1]) ).

fof(f130,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f129]) ).

fof(f129,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f41]) ).

fof(f41,plain,
    ( inverse(sk_c1) = sk_c9
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f1858,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1857]) ).

fof(f1857,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1006,f1,f2,f5,f3,f32,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18,f1841,f829,f19,f31,f1848,f1820,f1721,f25]) ).

fof(f1856,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1855]) ).

fof(f1855,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1009,f1,f2,f5,f3,f32,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18,f1841,f829,f19,f31,f1848,f1820,f1721,f25]) ).

fof(f1854,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1853]) ).

fof(f1853,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f32,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18,f1841,f829,f19,f31,f1848,f1820,f1721,f25]) ).

fof(f1852,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1851]) ).

fof(f1851,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f32,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18,f1841,f829,f19,f31,f1848,f1820,f1721]) ).

fof(f1850,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1849]) ).

fof(f1849,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(global_subsumption,[],[f1,f2,f5,f3,f32,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f136,f28,f1828,f30,f1829,f22,f1831,f23,f1832,f29,f1833,f24,f1835,f16,f1836,f17,f18,f1841,f829,f19,f31,f1848,f1820]) ).

fof(f1845,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1844]) ).

fof(f1844,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_11
    | spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1843,f594]) ).

fof(f1843,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | spl0_6
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1842,f503]) ).

fof(f1842,plain,
    ( sk_c9 = multiply(sk_c1,sk_c9)
    | ~ spl0_1
    | spl0_6
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f591,f1830]) ).

fof(f1830,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_1
    | spl0_6
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f335,f486,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f19,f16,f1003,f24,f1814,f22,f136,f28,f1828,f30,f1829,f1822]) ).

fof(f1822,plain,
    ( sk_c9 = sk_c8
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1821,f512]) ).

fof(f1821,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c9 = inverse(sk_c2)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f31,f1003]) ).

fof(f1814,plain,
    ( sk_c9 = sk_c8
    | sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1813,f512]) ).

fof(f1813,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f25,f1003]) ).

fof(f1827,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1826]) ).

fof(f1826,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f19,f1793,f1757,f16,f1794,f1749,f24,f1812,f1816,f1817,f22,f1818,f30,f1824,f28,f1825,f136]) ).

fof(f1825,plain,
    ( sk_c9 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f19,f1793,f1757,f16,f1794,f1749,f24,f1812,f1816,f1817,f22,f1818,f30,f1824,f28]) ).

fof(f1824,plain,
    ( sk_c9 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f19,f1793,f1757,f16,f1794,f1749,f24,f1812,f1816,f1817,f22,f1818,f30]) ).

fof(f1818,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f19,f1793,f1757,f16,f1794,f1749,f24,f1812,f1816,f1817,f22]) ).

fof(f1817,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f23,f44]) ).

fof(f1816,plain,
    ( sk_c9 = inverse(sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f29,f44]) ).

fof(f1812,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f22,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f19,f1793,f1757,f16,f1794,f1749,f24]) ).

fof(f1749,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f19,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18]) ).

fof(f1794,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f24,f22,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f19,f1793,f1757,f16]) ).

fof(f1757,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f17,f44]) ).

fof(f1793,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_2 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f24,f22,f20,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f16,f1757,f19]) ).

fof(f44,plain,
    ( sk_c5 != inverse(sk_c4)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f1811,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1810]) ).

fof(f1810,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f1809,f594]) ).

fof(f1809,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1808,f503]) ).

fof(f1808,plain,
    ( sk_c9 = multiply(sk_c1,sk_c9)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f591,f1807]) ).

fof(f1807,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1806,f512]) ).

fof(f1806,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1749,f1760]) ).

fof(f1760,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f1703,f44]) ).

fof(f1703,plain,
    ( identity = sk_c3
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1702,f503]) ).

fof(f1702,plain,
    ( sk_c3 = multiply(sk_c1,sk_c9)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f23,f487]) ).

fof(f487,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f346,f335]) ).

fof(f346,plain,
    ( sk_c2 = multiply(inverse(sk_c9),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f63,f143]) ).

fof(f143,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f137]) ).

fof(f1790,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1789]) ).

fof(f1789,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1003,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f1006,f1009,f821,f16,f1760,f1757,f19]) ).

fof(f821,plain,
    ( identity = sk_c3
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f820,f503]) ).

fof(f820,plain,
    ( sk_c3 = multiply(sk_c1,sk_c9)
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f22,f487]) ).

fof(f1751,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f19,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f1727,f1750,f1725]) ).

fof(f1725,plain,
    ( identity = sk_c3
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1724,f503]) ).

fof(f1724,plain,
    ( sk_c3 = multiply(sk_c1,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f25,f487]) ).

fof(f1750,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f19,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f12,f18,f1727]) ).

fof(f1727,plain,
    ( identity = sk_c3
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1726,f503]) ).

fof(f1726,plain,
    ( sk_c3 = multiply(sk_c1,sk_c9)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f24,f487]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c9),X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f63,f145]) ).

fof(f145,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f144,f1]) ).

fof(f144,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f143]) ).

fof(f1788,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1787]) ).

fof(f1787,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f829,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f1006,f1009,f821,f16,f1760,f1757,f19]) ).

fof(f1786,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1785]) ).

fof(f1785,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_14 ),
    inference(global_subsumption,[],[f1723,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f1006,f1009,f821,f16,f1760,f1757,f19]) ).

fof(f1723,plain,
    ( identity = sk_c3
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1722,f503]) ).

fof(f1722,plain,
    ( sk_c3 = multiply(sk_c1,sk_c9)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1721,f487]) ).

fof(f1784,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1783]) ).

fof(f1783,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f1006,f1009,f821,f16,f1760,f1757,f19]) ).

fof(f1782,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1781]) ).

fof(f1781,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f19,f1006,f1009,f821,f16,f1760,f1757]) ).

fof(f1780,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1779]) ).

fof(f1779,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f19,f1757,f1006,f1009,f821,f16,f1760]) ).

fof(f1778,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1777]) ).

fof(f1777,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f19,f1757,f1760,f1006,f1009,f821,f16]) ).

fof(f1776,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1775]) ).

fof(f1775,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f19,f1757,f1760,f16,f1006,f1009,f821]) ).

fof(f1774,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1773]) ).

fof(f1773,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f19,f1757,f1760,f16,f821,f1006,f1009]) ).

fof(f1772,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1771]) ).

fof(f1771,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f335,f486,f487,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f801,f1196,f1209,f10,f11,f13,f37,f12,f44,f18,f1749,f1727,f1750,f1725,f1751,f19,f1757,f1760,f16,f821,f1009,f1006]) ).

fof(f1770,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1769]) ).

fof(f1769,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752,f19,f16,f821,f1009,f1006]) ).

fof(f1752,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13 ),
    inference(subsumption_resolution,[],[f1723,f1002]) ).

fof(f1768,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1767]) ).

fof(f1767,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f1006,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752,f19,f16,f821,f1009]) ).

fof(f1766,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1765]) ).

fof(f1765,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752,f19,f16,f821]) ).

fof(f1764,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1763]) ).

fof(f1763,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752,f19,f16]) ).

fof(f1762,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1761]) ).

fof(f1761,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1760,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752,f19]) ).

fof(f1759,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1758]) ).

fof(f1758,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f1757,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752,f19]) ).

fof(f1756,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1755]) ).

fof(f1755,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752,f19]) ).

fof(f1754,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1753]) ).

fof(f1753,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f137,f143,f145,f63,f324,f334,f346,f330,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f487,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f1006,f1009,f801,f1196,f1209,f10,f11,f13,f37,f1710,f12,f1002,f1748,f18,f1727,f1750,f1725,f1751,f1752]) ).

fof(f1747,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1746]) ).

fof(f1746,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_12
    | spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f1745,f594]) ).

fof(f1745,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1744,f503]) ).

fof(f1744,plain,
    ( sk_c9 = multiply(sk_c1,sk_c9)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f591,f1740]) ).

fof(f1740,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_1
    | ~ spl0_7
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f801,f1196,f1209,f1007,f1667,f1670,f1671,f1666,f1701,f10,f1705,f11,f1002,f1707,f13,f12,f1710,f37,f1729,f1733]) ).

fof(f1733,plain,
    ( sk_c9 = sk_c8
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1732,f512]) ).

fof(f1732,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f829,f1666]) ).

fof(f1729,plain,
    ( sk_c9 = sk_c8
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1728,f512]) ).

fof(f1728,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f18,f1666]) ).

fof(f1707,plain,
    ( sk_c9 = sk_c8
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1706,f512]) ).

fof(f1706,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f19,f1666]) ).

fof(f1705,plain,
    ( sk_c9 = sk_c8
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1704,f512]) ).

fof(f1704,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f17,f1666]) ).

fof(f1701,plain,
    ( sk_c9 = sk_c8
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1700,f512]) ).

fof(f1700,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f16,f1666]) ).

fof(f1666,plain,
    ( identity = sk_c3
    | ~ spl0_14 ),
    inference(superposition,[],[f1007,f1]) ).

fof(f1671,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1669,f1]) ).

fof(f1669,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c3,X0))
    | ~ spl0_14 ),
    inference(superposition,[],[f3,f1007]) ).

fof(f1670,plain,
    ( identity = sk_c3
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1668,f2]) ).

fof(f1668,plain,
    ( sk_c3 = multiply(inverse(identity),identity)
    | ~ spl0_14 ),
    inference(superposition,[],[f63,f1007]) ).

fof(f1667,plain,
    ( identity = sk_c3
    | ~ spl0_14 ),
    inference(superposition,[],[f1,f1007]) ).

fof(f1007,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1739,plain,
    ( spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1738]) ).

fof(f1738,plain,
    ( $false
    | spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f19,f18,f801,f1196,f1209,f10,f11,f13,f590,f12,f1708,f37,f44]) ).

fof(f1708,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | spl0_11 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f33,f63,f324,f334,f37,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f320,f321,f807,f500,f810,f811,f808,f19,f18,f801,f1196,f1209,f10,f11,f13,f590,f12]) ).

fof(f590,plain,
    ( sk_c9 != multiply(sk_c1,sk_c8)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f1737,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1736]) ).

fof(f1736,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f594,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f801,f1196,f1209,f10,f11,f1002,f13,f590,f12,f1708,f1710,f37]) ).

fof(f1735,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1734]) ).

fof(f1734,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1733,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f801,f1196,f1209,f10,f11,f1002,f13,f590,f12,f1708,f1710,f37]) ).

fof(f1731,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1730]) ).

fof(f1730,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13
    | ~ spl0_14 ),
    inference(global_subsumption,[],[f1729,f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f801,f1196,f1209,f10,f11,f1002,f13,f590,f12,f1708,f1710,f37]) ).

fof(f1719,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1718]) ).

fof(f1718,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f801,f1196,f1209,f10,f11,f1002,f13,f590,f12,f1708,f1710,f37]) ).

fof(f1712,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1711]) ).

fof(f1711,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | spl0_13 ),
    inference(global_subsumption,[],[f29,f23,f17,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f37,f26,f25,f24,f22,f20,f16,f14,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f801,f1196,f1209,f10,f11,f1002,f13,f590,f12,f1708,f1710]) ).

fof(f1699,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1698]) ).

fof(f1698,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12
    | spl0_13 ),
    inference(global_subsumption,[],[f29,f23,f17,f11,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f37,f26,f25,f24,f22,f20,f16,f14,f13,f12,f10,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f595,f830,f831,f861,f863,f865,f867,f869,f840,f870,f874,f889,f862,f801,f1196,f1209,f1628,f1634,f1652,f1649,f1679,f1680,f1683,f1684,f1002]) ).

fof(f1684,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f29,f23,f17,f11,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f37,f26,f25,f24,f22,f20,f16,f14,f13,f12,f10,f27,f21,f15,f141,f479,f480,f481,f483,f335,f486,f491,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f829,f19,f18,f595,f830,f831,f861,f863,f865,f867,f869,f840,f870,f874,f889,f862,f801,f1196,f1209,f1628,f1634,f1652,f1649,f1679,f1680,f1683]) ).

fof(f1683,plain,
    ( identity = multiply(identity,sk_c8)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1682,f595]) ).

fof(f1682,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1681,f862]) ).

fof(f1681,plain,
    ( identity = sk_c7
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1638,f862]) ).

fof(f1638,plain,
    ( sk_c1 = sk_c7
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1637,f504]) ).

fof(f1637,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1636,f491]) ).

fof(f1636,plain,
    ( sk_c7 = multiply(sk_c6,identity)
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f14,f595]) ).

fof(f1680,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12 ),
    inference(global_subsumption,[],[f29,f23,f17,f11,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f37,f26,f25,f24,f22,f20,f16,f14,f13,f12,f10,f27,f21,f15,f335,f486,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f19,f18,f595,f830,f831,f861,f865,f867,f869,f840,f870,f874,f889,f862,f801,f1196,f1209,f1628,f1634,f1652,f1649,f1679]) ).

fof(f1679,plain,
    ( identity = multiply(identity,sk_c8)
    | sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1678,f595]) ).

fof(f1678,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1677,f862]) ).

fof(f1677,plain,
    ( sk_c8 = sk_c7
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1676,f1]) ).

fof(f1676,plain,
    ( sk_c8 = multiply(identity,sk_c7)
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f13,f595]) ).

fof(f1649,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1648,f595]) ).

fof(f1648,plain,
    ( identity = sk_c8
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1647,f595]) ).

fof(f1647,plain,
    ( sk_c9 = sk_c8
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1646,f1]) ).

fof(f1646,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f12,f862]) ).

fof(f1652,plain,
    ( identity != multiply(identity,sk_c8)
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1651,f595]) ).

fof(f1651,plain,
    ( sk_c9 != multiply(identity,sk_c8)
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f590,f862]) ).

fof(f862,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f835,f2]) ).

fof(f835,plain,
    ( sk_c1 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f335,f595]) ).

fof(f889,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f858,f808]) ).

fof(f858,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f740,f595]) ).

fof(f874,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f873,f808]) ).

fof(f873,plain,
    ( identity = multiply(inverse(identity),sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f872,f808]) ).

fof(f872,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f871,f808]) ).

fof(f871,plain,
    ( identity = multiply(inverse(inverse(inverse(identity))),sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f843,f808]) ).

fof(f843,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(identity)))),sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f560,f595]) ).

fof(f870,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f841,f1]) ).

fof(f841,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f505,f595]) ).

fof(f840,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f503,f595]) ).

fof(f869,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f868,f808]) ).

fof(f868,plain,
    ( ! [X0] : multiply(inverse(identity),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f839,f808]) ).

fof(f839,plain,
    ( ! [X0] : multiply(inverse(inverse(identity)),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f498,f595]) ).

fof(f867,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f866,f321]) ).

fof(f866,plain,
    ( sk_c1 = multiply(inverse(inverse(identity)),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f838,f808]) ).

fof(f838,plain,
    ( sk_c1 = multiply(inverse(inverse(inverse(identity))),identity)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f496,f595]) ).

fof(f865,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f864,f808]) ).

fof(f864,plain,
    ( identity = multiply(inverse(identity),sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f837,f808]) ).

fof(f837,plain,
    ( identity = multiply(inverse(inverse(identity)),sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f484,f595]) ).

fof(f863,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f836,f491]) ).

fof(f836,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f480,f595]) ).

fof(f861,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f834,f320]) ).

fof(f834,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(identity),X0)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f329,f595]) ).

fof(f831,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f131,f595]) ).

fof(f830,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f129,f595]) ).

fof(f1675,plain,
    ( ~ spl0_1
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1674]) ).

fof(f1674,plain,
    ( $false
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f1673,f1]) ).

fof(f1673,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1652,f1658]) ).

fof(f1658,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(global_subsumption,[],[f29,f23,f17,f11,f1,f2,f5,f3,f32,f31,f30,f28,f8,f7,f6,f4,f9,f41,f129,f131,f33,f63,f324,f334,f37,f26,f25,f24,f22,f20,f16,f14,f13,f12,f10,f27,f21,f15,f335,f486,f484,f320,f329,f506,f507,f509,f510,f503,f515,f516,f504,f512,f505,f496,f562,f498,f578,f577,f583,f581,f584,f586,f560,f678,f680,f576,f724,f725,f718,f741,f740,f321,f807,f500,f810,f811,f808,f19,f18,f595,f830,f831,f861,f865,f867,f869,f840,f870,f874,f889,f862,f1003,f801,f1196,f1209,f1628,f1632,f1634,f1644,f1652,f1649]) ).

fof(f1644,plain,
    ( identity = multiply(identity,sk_c8)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1643,f595]) ).

fof(f1643,plain,
    ( sk_c9 = multiply(identity,sk_c8)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1642,f862]) ).

fof(f1642,plain,
    ( identity = sk_c8
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1641,f595]) ).

fof(f1641,plain,
    ( sk_c9 = sk_c8
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1640,f512]) ).

fof(f1640,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f13,f1003]) ).

fof(f1632,plain,
    ( sk_c8 = multiply(identity,sk_c3)
    | identity = sk_c8
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1631,f595]) ).

fof(f1631,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1088,f595]) ).

fof(f1088,plain,
    ( sk_c9 = sk_c8
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1087,f512]) ).

fof(f1087,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f19,f1003]) ).

fof(f1657,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1656]) ).

fof(f1656,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1655,f1]) ).

fof(f1655,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f1652,f1629]) ).

fof(f1629,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f1117,f595]) ).

fof(f1117,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f1116,f512]) ).

fof(f1116,plain,
    ( sk_c8 = multiply(sk_c9,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13
    | spl0_14 ),
    inference(forward_demodulation,[],[f1115,f1003]) ).

fof(f1115,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1114,f1009]) ).

fof(f1114,plain,
    ( identity = sk_c3
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1113,f862]) ).

fof(f1113,plain,
    ( sk_c1 = sk_c3
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1112,f504]) ).

fof(f1112,plain,
    ( sk_c3 = multiply(sk_c1,identity)
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1111,f487]) ).

fof(f1111,plain,
    ( sk_c3 = multiply(sk_c2,identity)
    | sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f25,f595]) ).

fof(f1619,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1618]) ).

fof(f1618,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1617,f808]) ).

fof(f1617,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1616,f1041]) ).

fof(f1041,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1026,f2]) ).

fof(f1026,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(superposition,[],[f341,f1016]) ).

fof(f1016,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(superposition,[],[f1015,f542]) ).

fof(f1015,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1014,f595]) ).

fof(f1014,plain,
    ( sk_c9 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1013,f877]) ).

fof(f877,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f847,f1]) ).

fof(f847,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f601,f595]) ).

fof(f601,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f599,f41]) ).

fof(f599,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c9)
    | ~ spl0_11 ),
    inference(superposition,[],[f63,f591]) ).

fof(f1013,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1012,f1009]) ).

fof(f1012,plain,
    ( identity = sk_c3
    | sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1011,f877]) ).

fof(f1616,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1615,f699]) ).

fof(f1615,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1614,f1041]) ).

fof(f1614,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1613,f1]) ).

fof(f1613,plain,
    ( identity != multiply(identity,sk_c4)
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1493,f534]) ).

fof(f1493,plain,
    ( identity != multiply(identity,multiply(sk_c4,identity))
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f331]) ).

fof(f471,plain,
    ( ! [X9] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X9) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl0_8
  <=> ! [X9] :
        ( identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1612,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1611]) ).

fof(f1611,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1610,f808]) ).

fof(f1610,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1609,f862]) ).

fof(f1609,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1608,f740]) ).

fof(f1608,plain,
    ( identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1607,f862]) ).

fof(f1607,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1606,f1]) ).

fof(f1606,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1492,f504]) ).

fof(f1492,plain,
    ( identity != multiply(identity,multiply(sk_c1,identity))
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f329]) ).

fof(f1605,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1604]) ).

fof(f1604,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1603,f808]) ).

fof(f1603,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1602,f1016]) ).

fof(f1602,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1601,f45]) ).

fof(f1601,plain,
    ( identity != inverse(inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1600,f699]) ).

fof(f1600,plain,
    ( identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1599,f1016]) ).

fof(f1599,plain,
    ( identity != sk_c5
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1598,f1]) ).

fof(f1598,plain,
    ( identity != multiply(identity,sk_c5)
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1491,f542]) ).

fof(f1491,plain,
    ( identity != multiply(identity,multiply(sk_c5,identity))
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f564]) ).

fof(f1597,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

fof(f1596,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1595,f808]) ).

fof(f1595,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1594,f595]) ).

fof(f1594,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1593,f41]) ).

fof(f1593,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1592,f740]) ).

fof(f1592,plain,
    ( identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1591,f595]) ).

fof(f1591,plain,
    ( identity != sk_c9
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1590,f1]) ).

fof(f1590,plain,
    ( identity != multiply(identity,sk_c9)
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1490,f512]) ).

fof(f1490,plain,
    ( identity != multiply(identity,multiply(sk_c9,identity))
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f576]) ).

fof(f1589,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1588,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1587,f808]) ).

fof(f1587,plain,
    ( identity != inverse(identity)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1586,f808]) ).

fof(f1586,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1585,f808]) ).

fof(f1585,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1584,f808]) ).

fof(f1584,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1489,f1]) ).

fof(f1489,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f801]) ).

fof(f1583,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f1582]) ).

fof(f1582,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1581,f808]) ).

fof(f1581,plain,
    ( identity != inverse(identity)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1580,f808]) ).

fof(f1580,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1579,f808]) ).

fof(f1579,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1488,f1]) ).

fof(f1488,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(inverse(identity)))
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f500]) ).

fof(f1578,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f1577]) ).

fof(f1577,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1576,f808]) ).

fof(f1576,plain,
    ( identity != inverse(identity)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1575,f808]) ).

fof(f1575,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1487,f1]) ).

fof(f1487,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f320]) ).

fof(f1574,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1573,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1572,f808]) ).

fof(f1572,plain,
    ( identity != inverse(identity)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1571,f808]) ).

fof(f1571,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1486,f1]) ).

fof(f1486,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(inverse(identity))
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f2]) ).

fof(f1570,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f1569]) ).

fof(f1569,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1568,f808]) ).

fof(f1568,plain,
    ( identity != inverse(identity)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1485,f1]) ).

fof(f1485,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f1]) ).

fof(f1567,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1566]) ).

fof(f1566,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1565,f808]) ).

fof(f1565,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1564,f877]) ).

fof(f1564,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1563,f1]) ).

fof(f1563,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1484,f877]) ).

fof(f1484,plain,
    ( identity != multiply(identity,sk_c8)
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f471,f631]) ).

fof(f631,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f620,f601]) ).

fof(f620,plain,
    ( multiply(sk_c9,sk_c9) = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f617,f512]) ).

fof(f617,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f615,f41]) ).

fof(f615,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c1),multiply(sk_c9,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f63,f600]) ).

fof(f600,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f591]) ).

fof(f1562,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1560,f808]) ).

fof(f1560,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1559,f1016]) ).

fof(f1559,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1558,f1]) ).

fof(f1558,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1483,f1016]) ).

fof(f1483,plain,
    ( identity != multiply(identity,sk_c5)
    | identity != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f542]) ).

fof(f1557,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1556]) ).

fof(f1556,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1555,f808]) ).

fof(f1555,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1554,f1016]) ).

fof(f1554,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1482,f1]) ).

fof(f1482,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(superposition,[],[f471,f1015]) ).

fof(f1553,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1552]) ).

fof(f1552,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1551,f808]) ).

fof(f1551,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1550,f1041]) ).

fof(f1550,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1549,f1]) ).

fof(f1549,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1481,f1041]) ).

fof(f1481,plain,
    ( identity != multiply(identity,sk_c4)
    | identity != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f534]) ).

fof(f1548,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1547]) ).

fof(f1547,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1546,f808]) ).

fof(f1546,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1545,f595]) ).

fof(f1545,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1544,f1]) ).

fof(f1544,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1480,f595]) ).

fof(f1480,plain,
    ( identity != multiply(identity,sk_c9)
    | identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f512]) ).

fof(f1543,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

fof(f1542,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1541,f808]) ).

fof(f1541,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1540,f862]) ).

fof(f1540,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1539,f1]) ).

fof(f1539,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1479,f862]) ).

fof(f1479,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f504]) ).

fof(f1538,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1537,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1536,f808]) ).

fof(f1536,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1535,f1016]) ).

fof(f1535,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1534,f45]) ).

fof(f1534,plain,
    ( identity != inverse(inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1533,f699]) ).

fof(f1533,plain,
    ( identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1532,f1016]) ).

fof(f1532,plain,
    ( identity != sk_c5
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1478,f1]) ).

fof(f1478,plain,
    ( identity != multiply(identity,sk_c5)
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f565]) ).

fof(f1531,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1530,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1529,f808]) ).

fof(f1529,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1528,f595]) ).

fof(f1528,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1527,f41]) ).

fof(f1527,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1526,f740]) ).

fof(f1526,plain,
    ( identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1525,f595]) ).

fof(f1525,plain,
    ( identity != sk_c9
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1477,f1]) ).

fof(f1477,plain,
    ( identity != multiply(identity,sk_c9)
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f577]) ).

fof(f1524,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1523]) ).

fof(f1523,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1522,f808]) ).

fof(f1522,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1521,f862]) ).

fof(f1521,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1520,f740]) ).

fof(f1520,plain,
    ( identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1519,f41]) ).

fof(f1519,plain,
    ( identity != inverse(inverse(inverse(sk_c1)))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1518,f740]) ).

fof(f1518,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1517,f862]) ).

fof(f1517,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1476,f1]) ).

fof(f1476,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f496]) ).

fof(f1516,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1515]) ).

fof(f1515,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1514,f808]) ).

fof(f1514,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1513,f1041]) ).

fof(f1513,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1512,f699]) ).

fof(f1512,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1511,f45]) ).

fof(f1511,plain,
    ( identity != inverse(inverse(inverse(sk_c4)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1510,f699]) ).

fof(f1510,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c5))))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1509,f1041]) ).

fof(f1509,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(inverse(inverse(sk_c5))))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1475,f1]) ).

fof(f1475,plain,
    ( identity != multiply(identity,sk_c4)
    | identity != inverse(inverse(inverse(inverse(sk_c5))))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f466]) ).

fof(f1507,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1506]) ).

fof(f1506,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1505,f808]) ).

fof(f1505,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1504,f862]) ).

fof(f1504,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1503,f740]) ).

fof(f1503,plain,
    ( identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1502,f862]) ).

fof(f1502,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1473,f1]) ).

fof(f1473,plain,
    ( identity != multiply(identity,sk_c1)
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f335]) ).

fof(f1501,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1500]) ).

fof(f1500,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1499,f808]) ).

fof(f1499,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1498,f1041]) ).

fof(f1498,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1497,f699]) ).

fof(f1497,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1496,f1041]) ).

fof(f1496,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1472,f1]) ).

fof(f1472,plain,
    ( identity != multiply(identity,sk_c4)
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f471,f341]) ).

fof(f1471,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1469,f808]) ).

fof(f1469,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1468,f1041]) ).

fof(f1468,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1467,f699]) ).

fof(f1467,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1466,f1041]) ).

fof(f1466,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1363,f534]) ).

fof(f1363,plain,
    ( identity != multiply(sk_c4,identity)
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f331]) ).

fof(f474,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f1465,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1464]) ).

fof(f1464,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1463,f808]) ).

fof(f1463,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1462,f862]) ).

fof(f1462,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1461,f740]) ).

fof(f1461,plain,
    ( identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1460,f862]) ).

fof(f1460,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1362,f504]) ).

fof(f1362,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f329]) ).

fof(f1459,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1458]) ).

fof(f1458,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1457,f808]) ).

fof(f1457,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1456,f1016]) ).

fof(f1456,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1455,f45]) ).

fof(f1455,plain,
    ( identity != inverse(inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1454,f699]) ).

fof(f1454,plain,
    ( identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1361,f1015]) ).

fof(f1361,plain,
    ( identity != multiply(sk_c5,identity)
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f564]) ).

fof(f1453,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1452,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1451,f808]) ).

fof(f1451,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1450,f595]) ).

fof(f1450,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1449,f41]) ).

fof(f1449,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1448,f740]) ).

fof(f1448,plain,
    ( identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1447,f595]) ).

fof(f1447,plain,
    ( identity != sk_c9
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1360,f512]) ).

fof(f1360,plain,
    ( identity != multiply(sk_c9,identity)
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f576]) ).

fof(f1446,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1445]) ).

fof(f1445,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1444,f808]) ).

fof(f1444,plain,
    ( identity != inverse(identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1443,f808]) ).

fof(f1443,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1442,f808]) ).

fof(f1442,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1365,f808]) ).

fof(f1365,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1359]) ).

fof(f1359,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f801]) ).

fof(f1441,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1440,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1439,f808]) ).

fof(f1439,plain,
    ( identity != inverse(identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1438,f808]) ).

fof(f1438,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1366,f808]) ).

fof(f1366,plain,
    ( identity != inverse(inverse(inverse(identity)))
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1358]) ).

fof(f1358,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(identity)))
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f500]) ).

fof(f1437,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1436,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1435,f808]) ).

fof(f1435,plain,
    ( identity != inverse(identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1367,f808]) ).

fof(f1367,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1357]) ).

fof(f1357,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f320]) ).

fof(f1434,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1433]) ).

fof(f1433,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1432,f808]) ).

fof(f1432,plain,
    ( identity != inverse(identity)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1368,f808]) ).

fof(f1368,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1356]) ).

fof(f1356,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f2]) ).

fof(f1431,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1430]) ).

fof(f1430,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1369,f808]) ).

fof(f1369,plain,
    ( identity != inverse(identity)
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1355]) ).

fof(f1355,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f1]) ).

fof(f1429,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1428]) ).

fof(f1428,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1427,f808]) ).

fof(f1427,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1426,f877]) ).

fof(f1426,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1354,f877]) ).

fof(f1354,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f474,f631]) ).

fof(f1425,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1424]) ).

fof(f1424,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1423,f808]) ).

fof(f1423,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1422,f1016]) ).

fof(f1422,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1353,f1016]) ).

fof(f1353,plain,
    ( identity != sk_c5
    | identity != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f542]) ).

fof(f1421,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1420]) ).

fof(f1420,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1419,f808]) ).

fof(f1419,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1370,f1016]) ).

fof(f1370,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(trivial_inequality_removal,[],[f1352]) ).

fof(f1352,plain,
    ( identity != identity
    | identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(superposition,[],[f474,f1015]) ).

fof(f1418,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1417]) ).

fof(f1417,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1416,f808]) ).

fof(f1416,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1415,f1041]) ).

fof(f1415,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1351,f1041]) ).

fof(f1351,plain,
    ( identity != sk_c4
    | identity != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f534]) ).

fof(f1414,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1413,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1412,f808]) ).

fof(f1412,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1411,f595]) ).

fof(f1411,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1350,f595]) ).

fof(f1350,plain,
    ( identity != sk_c9
    | identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f512]) ).

fof(f1410,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1409,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1408,f808]) ).

fof(f1408,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1407,f862]) ).

fof(f1407,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1349,f862]) ).

fof(f1349,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f504]) ).

fof(f1406,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1405]) ).

fof(f1405,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1404,f808]) ).

fof(f1404,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1403,f1016]) ).

fof(f1403,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1402,f45]) ).

fof(f1402,plain,
    ( identity != inverse(inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1401,f699]) ).

fof(f1401,plain,
    ( identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1348,f1016]) ).

fof(f1348,plain,
    ( identity != sk_c5
    | identity != inverse(inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f565]) ).

fof(f1400,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1399,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1398,f808]) ).

fof(f1398,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1397,f595]) ).

fof(f1397,plain,
    ( identity != inverse(sk_c9)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1396,f41]) ).

fof(f1396,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1395,f740]) ).

fof(f1395,plain,
    ( identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1347,f595]) ).

fof(f1347,plain,
    ( identity != sk_c9
    | identity != inverse(inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f577]) ).

fof(f1394,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1393]) ).

fof(f1393,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1392,f808]) ).

fof(f1392,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1391,f862]) ).

fof(f1391,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1390,f740]) ).

fof(f1390,plain,
    ( identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1389,f41]) ).

fof(f1389,plain,
    ( identity != inverse(inverse(inverse(sk_c1)))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1388,f740]) ).

fof(f1388,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1346,f862]) ).

fof(f1346,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f496]) ).

fof(f1387,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1386]) ).

fof(f1386,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1385,f808]) ).

fof(f1385,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1384,f1041]) ).

fof(f1384,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1383,f699]) ).

fof(f1383,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1382,f45]) ).

fof(f1382,plain,
    ( identity != inverse(inverse(inverse(sk_c4)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1381,f699]) ).

fof(f1381,plain,
    ( identity != inverse(inverse(inverse(inverse(sk_c5))))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1345,f1041]) ).

fof(f1345,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(inverse(inverse(sk_c5))))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f466]) ).

fof(f1380,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1379]) ).

fof(f1379,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1378,f808]) ).

fof(f1378,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1377,f862]) ).

fof(f1377,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1376,f740]) ).

fof(f1376,plain,
    ( identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1343,f862]) ).

fof(f1343,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f335]) ).

fof(f1375,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1374]) ).

fof(f1374,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1373,f808]) ).

fof(f1373,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1372,f1041]) ).

fof(f1372,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1371,f699]) ).

fof(f1371,plain,
    ( identity != inverse(inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1342,f1041]) ).

fof(f1342,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f474,f341]) ).

fof(f1341,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1340]) ).

fof(f1340,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1339,f1]) ).

fof(f1339,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1338,f1041]) ).

fof(f1338,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1240,f681]) ).

fof(f1240,plain,
    ( identity != multiply(sk_c4,identity)
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f331]) ).

fof(f477,plain,
    ( ! [X6] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f476,plain,
    ( spl0_10
  <=> ! [X6] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(inverse(X6),identity) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1337,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1336]) ).

fof(f1336,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1335,f1]) ).

fof(f1335,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1334,f862]) ).

fof(f1334,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1239,f718]) ).

fof(f1239,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != multiply(sk_c9,inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f329]) ).

fof(f1333,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1332]) ).

fof(f1332,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1331,f533]) ).

fof(f1331,plain,
    ( identity != multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1330,f45]) ).

fof(f1330,plain,
    ( identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1329,f699]) ).

fof(f1329,plain,
    ( identity != multiply(inverse(sk_c5),inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1238,f1015]) ).

fof(f1238,plain,
    ( identity != multiply(sk_c5,identity)
    | identity != multiply(inverse(sk_c5),inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f564]) ).

fof(f1328,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1327]) ).

fof(f1327,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1326,f503]) ).

fof(f1326,plain,
    ( identity != multiply(sk_c1,sk_c9)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1325,f41]) ).

fof(f1325,plain,
    ( identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1324,f740]) ).

fof(f1324,plain,
    ( identity != multiply(inverse(sk_c9),inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1323,f595]) ).

fof(f1323,plain,
    ( identity != sk_c9
    | identity != multiply(inverse(sk_c9),inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1237,f512]) ).

fof(f1237,plain,
    ( identity != multiply(sk_c9,identity)
    | identity != multiply(inverse(sk_c9),inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f576]) ).

fof(f1322,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1321]) ).

fof(f1321,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1320,f1]) ).

fof(f1320,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1319,f808]) ).

fof(f1319,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1318,f808]) ).

fof(f1318,plain,
    ( identity != multiply(inverse(identity),inverse(inverse(identity)))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1241,f808]) ).

fof(f1241,plain,
    ( identity != multiply(inverse(inverse(identity)),inverse(inverse(inverse(identity))))
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1236]) ).

fof(f1236,plain,
    ( identity != identity
    | identity != multiply(inverse(inverse(identity)),inverse(inverse(inverse(identity))))
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f801]) ).

fof(f1317,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1316,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1315,f1]) ).

fof(f1315,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1314,f808]) ).

fof(f1314,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1242,f808]) ).

fof(f1242,plain,
    ( identity != multiply(inverse(identity),inverse(inverse(identity)))
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1235]) ).

fof(f1235,plain,
    ( identity != identity
    | identity != multiply(inverse(identity),inverse(inverse(identity)))
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f500]) ).

fof(f1313,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1312]) ).

fof(f1312,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1311,f1]) ).

fof(f1311,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1243,f808]) ).

fof(f1243,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1234]) ).

fof(f1234,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f320]) ).

fof(f1310,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1309]) ).

fof(f1309,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1308,f1]) ).

fof(f1308,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1244,f808]) ).

fof(f1244,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1233]) ).

fof(f1233,plain,
    ( identity != identity
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f2]) ).

fof(f1307,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1306,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1305,f533]) ).

fof(f1305,plain,
    ( identity != multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1304,f45]) ).

fof(f1304,plain,
    ( identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1303,f699]) ).

fof(f1303,plain,
    ( identity != multiply(inverse(sk_c5),inverse(inverse(sk_c5)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1232,f1016]) ).

fof(f1232,plain,
    ( identity != sk_c5
    | identity != multiply(inverse(sk_c5),inverse(inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f565]) ).

fof(f1302,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1301]) ).

fof(f1301,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1300,f503]) ).

fof(f1300,plain,
    ( identity != multiply(sk_c1,sk_c9)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1299,f41]) ).

fof(f1299,plain,
    ( identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1298,f740]) ).

fof(f1298,plain,
    ( identity != multiply(inverse(sk_c9),inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1231,f595]) ).

fof(f1231,plain,
    ( identity != sk_c9
    | identity != multiply(inverse(sk_c9),inverse(inverse(sk_c9)))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f577]) ).

fof(f1297,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1296]) ).

fof(f1296,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1295,f718]) ).

fof(f1295,plain,
    ( identity != multiply(sk_c9,inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1294,f41]) ).

fof(f1294,plain,
    ( identity != multiply(inverse(sk_c1),inverse(inverse(sk_c1)))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1293,f740]) ).

fof(f1293,plain,
    ( identity != multiply(inverse(inverse(sk_c9)),inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1230,f862]) ).

fof(f1230,plain,
    ( identity != sk_c1
    | identity != multiply(inverse(inverse(sk_c9)),inverse(inverse(inverse(sk_c9))))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f496]) ).

fof(f1292,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1291]) ).

fof(f1291,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1290,f681]) ).

fof(f1290,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1289,f45]) ).

fof(f1289,plain,
    ( identity != multiply(inverse(sk_c4),inverse(inverse(sk_c4)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1288,f699]) ).

fof(f1288,plain,
    ( identity != multiply(inverse(inverse(sk_c5)),inverse(inverse(inverse(sk_c5))))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1229,f1041]) ).

fof(f1229,plain,
    ( identity != sk_c4
    | identity != multiply(inverse(inverse(sk_c5)),inverse(inverse(inverse(sk_c5))))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f466]) ).

fof(f1287,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1286]) ).

fof(f1286,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1285,f718]) ).

fof(f1285,plain,
    ( identity != multiply(sk_c9,inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1227,f862]) ).

fof(f1227,plain,
    ( identity != sk_c1
    | identity != multiply(sk_c9,inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f335]) ).

fof(f1284,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1283]) ).

fof(f1283,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1282,f681]) ).

fof(f1282,plain,
    ( identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1226,f1041]) ).

fof(f1226,plain,
    ( identity != sk_c4
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f341]) ).

fof(f1281,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1280]) ).

fof(f1280,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1279,f1]) ).

fof(f1279,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1278,f862]) ).

fof(f1278,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1277,f487]) ).

fof(f1277,plain,
    ( identity != multiply(sk_c2,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1276,f595]) ).

fof(f1276,plain,
    ( identity != multiply(sk_c2,sk_c9)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1275,f137]) ).

fof(f1275,plain,
    ( identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1274,f595]) ).

fof(f1274,plain,
    ( identity != sk_c9
    | identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1225,f512]) ).

fof(f1225,plain,
    ( identity != multiply(sk_c9,identity)
    | identity != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f137]) ).

fof(f1273,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1272]) ).

fof(f1272,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1271,f1]) ).

fof(f1271,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1270,f862]) ).

fof(f1270,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1269,f491]) ).

fof(f1269,plain,
    ( identity != multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1268,f595]) ).

fof(f1268,plain,
    ( identity != multiply(sk_c6,sk_c9)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1267,f141]) ).

fof(f1267,plain,
    ( identity != multiply(sk_c6,inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1266,f595]) ).

fof(f1266,plain,
    ( identity != sk_c9
    | identity != multiply(sk_c6,inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1224,f512]) ).

fof(f1224,plain,
    ( identity != multiply(sk_c9,identity)
    | identity != multiply(sk_c6,inverse(sk_c6))
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f141]) ).

fof(f1265,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1264]) ).

fof(f1264,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1263,f1]) ).

fof(f1263,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1262,f1041]) ).

fof(f1262,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1223,f681]) ).

fof(f1223,plain,
    ( identity != multiply(sk_c4,identity)
    | identity != multiply(sk_c5,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f699]) ).

fof(f1261,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1260]) ).

fof(f1260,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1259,f533]) ).

fof(f1259,plain,
    ( identity != multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(forward_demodulation,[],[f1258,f45]) ).

fof(f1258,plain,
    ( identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | spl0_14 ),
    inference(subsumption_resolution,[],[f1222,f1015]) ).

fof(f1222,plain,
    ( identity != multiply(sk_c5,identity)
    | identity != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f45]) ).

fof(f1257,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1256]) ).

fof(f1256,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1255,f1]) ).

fof(f1255,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1254,f862]) ).

fof(f1254,plain,
    ( identity != multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1221,f718]) ).

fof(f1221,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != multiply(sk_c9,inverse(sk_c9))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f740]) ).

fof(f1253,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1251,f503]) ).

fof(f1251,plain,
    ( identity != multiply(sk_c1,sk_c9)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1250,f41]) ).

fof(f1250,plain,
    ( identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f1249,f595]) ).

fof(f1249,plain,
    ( identity != sk_c9
    | identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1220,f512]) ).

fof(f1220,plain,
    ( identity != multiply(sk_c9,identity)
    | identity != multiply(sk_c1,inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f41]) ).

fof(f1248,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1246,f1]) ).

fof(f1246,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1245,f808]) ).

fof(f1245,plain,
    ( identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1219,f1]) ).

fof(f1219,plain,
    ( identity != multiply(identity,identity)
    | identity != multiply(identity,inverse(identity))
    | ~ spl0_10 ),
    inference(superposition,[],[f477,f808]) ).

fof(f1168,plain,
    ( spl0_8
    | spl0_8
    | spl0_9
    | spl0_10
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1134,f593,f589,f39,f476,f473,f470,f470]) ).

fof(f1134,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1133,f595]) ).

fof(f1133,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1132,f595]) ).

fof(f1132,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(X3,identity)
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1131,f877]) ).

fof(f1131,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1130,f595]) ).

fof(f1130,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(inverse(X6),identity)
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1129,f877]) ).

fof(f1129,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1128,f877]) ).

fof(f1128,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c8 != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1127,f595]) ).

fof(f1127,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1126,f877]) ).

fof(f1008,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f999,f593,f589,f139,f39,f1005,f1001]) ).

fof(f999,plain,
    ( identity = multiply(identity,sk_c3)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f998,f877]) ).

fof(f998,plain,
    ( sk_c8 = multiply(identity,sk_c3)
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f829,f595]) ).

fof(f826,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f825]) ).

fof(f825,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f824,f594]) ).

fof(f824,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f823,f533]) ).

fof(f823,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(subsumption_resolution,[],[f822,f594]) ).

fof(f822,plain,
    ( identity = sk_c9
    | sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f821,f781]) ).

fof(f781,plain,
    ( sk_c9 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11
    | spl0_12 ),
    inference(forward_demodulation,[],[f778,f603]) ).

fof(f603,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c8)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f63,f601]) ).

fof(f778,plain,
    ( sk_c3 = multiply(inverse(sk_c9),sk_c8)
    | ~ spl0_2
    | spl0_12 ),
    inference(superposition,[],[f63,f775]) ).

fof(f596,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f587,f43,f593,f589]) ).

fof(f478,plain,
    ( spl0_8
    | spl0_9
    | spl0_8
    | spl0_10
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f451,f139,f135,f39,f476,f470,f473,f470]) ).

fof(f451,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X6,inverse(X6))
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f450,f372]) ).

fof(f372,plain,
    ( identity = sk_c9
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f371,f2]) ).

fof(f371,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c9)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f338,f157]) ).

fof(f157,plain,
    ( sk_c9 = sk_c8
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f155,f152]) ).

fof(f152,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f21,f140]) ).

fof(f140,plain,
    ( sk_c9 != inverse(sk_c6)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f155,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f145,f154]) ).

fof(f154,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f27,f140]) ).

fof(f338,plain,
    ( sk_c9 = multiply(inverse(sk_c9),sk_c8)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f63,f149]) ).

fof(f149,plain,
    ( sk_c8 = multiply(sk_c9,sk_c9)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f131,f148]) ).

fof(f148,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f15,f140]) ).

fof(f450,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f449,f372]) ).

fof(f449,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f448,f372]) ).

fof(f448,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != inverse(X9)
        | identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f447,f372]) ).

fof(f447,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,multiply(X9,identity))
        | identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f446,f372]) ).

fof(f446,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f445,f372]) ).

fof(f445,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(inverse(X6),identity)
        | identity != multiply(X3,identity)
        | sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f444,f372]) ).

fof(f444,plain,
    ( ! [X3,X6,X9,X5] :
        ( identity != multiply(X3,identity)
        | sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f402,f372]) ).

fof(f402,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(X3,sk_c9)
        | sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f401,f157]) ).

fof(f401,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f400,f157]) ).

fof(f400,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f399,f157]) ).

fof(f399,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f37,f157]) ).

fof(f142,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f33,f139,f135]) ).

fof(f128,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f85,f39,f126,f123,f120,f120]) ).

fof(f85,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(X3,sk_c9)
        | sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f84,f75]) ).

fof(f84,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f83,f75]) ).

fof(f83,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f82,f75]) ).

fof(f82,plain,
    ( ! [X3,X6,X9,X5] :
        ( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
        | sk_c9 != inverse(X9)
        | sk_c9 != inverse(X3)
        | sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X3,sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | spl0_1 ),
    inference(forward_demodulation,[],[f37,f75]) ).

fof(f46,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f43,f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP223-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n029.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue Apr 30 04:52:20 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % (3357)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (3361)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.36  TRYING [1]
% 0.15/0.36  TRYING [2]
% 0.15/0.36  % (3360)WARNING: value z3 for option sas not known
% 0.15/0.36  TRYING [3]
% 0.15/0.36  % (3358)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.36  % (3359)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.36  % (3362)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)
% 0.15/0.36  % (3360)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)
% 0.15/0.36  % (3363)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)
% 0.15/0.36  % (3364)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)
% 0.15/0.37  TRYING [4]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [5]
% 0.15/0.40  TRYING [4]
% 0.21/0.43  % (3360)First to succeed.
% 0.21/0.43  TRYING [6]
% 0.21/0.44  % (3360)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45  % (3360)------------------------------
% 0.21/0.45  % (3360)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45  % (3360)Termination reason: Refutation
% 0.21/0.45  
% 0.21/0.45  % (3360)Memory used [KB]: 1500
% 0.21/0.45  % (3360)Time elapsed: 0.076 s
% 0.21/0.45  % (3360)Instructions burned: 143 (million)
% 0.21/0.45  % (3360)------------------------------
% 0.21/0.45  % (3360)------------------------------
% 0.21/0.45  % (3357)Success in time 0.088 s
%------------------------------------------------------------------------------