%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:58:16 EDT 2024

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  900 (  58 unt;   0 def)
%            Number of atoms       : 3015 (1157 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 3724 (1609   ~;2104   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  438 ( 438   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2318,plain,
    $false,
    inference(avatar_sat_refutation,[],[f46,f182,f312,f461,f466,f472,f476,f479,f575,f670,f941,f943,f945,f947,f949,f951,f953,f955,f1418,f1433,f1435,f1437,f1439,f1441,f1443,f1445,f1447,f1501,f1505,f1508,f1511,f1527,f1531,f1555,f1558,f1562,f1564,f1568,f1576,f1579,f1822,f1829,f1840,f1842,f1844,f1846,f1848,f1850,f1852,f1854,f1857,f1859,f1861,f1863,f1865,f1867,f1869,f1871,f1874,f1876,f1878,f1880,f1882,f1884,f1886,f1888,f1890,f1892,f1894,f1896,f1898,f1900,f1902,f1904,f1906,f1908,f1910,f1912,f1914,f1916,f1918,f1920,f1922,f1924,f1926,f1928,f2006,f2084,f2136,f2138,f2143,f2167,f2169,f2173,f2221,f2280,f2310,f2312,f2316]) ).

fof(f2316,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2315]) ).

fof(f2315,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2306,f180]) ).

fof(f180,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl0_6
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2306,plain,
    ( sk_c8 != sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f2286,f2007]) ).

fof(f2007,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_2 ),
    inference(subsumption_resolution,[],[f5,f44]) ).

fof(f44,plain,
    ( sk_c8 != inverse(sk_c2)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c2)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f2286,plain,
    ( ! [X0,X1] : multiply(X0,X1) != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1535,f2204]) ).

fof(f2204,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f41,f2191]) ).

fof(f2191,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f2189,f858]) ).

fof(f858,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f255,f241]) ).

fof(f241,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f68,f2]) ).

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

fof(f68,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f58,f1]) ).

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

fof(f58,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

fof(f255,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f68,f68]) ).

fof(f2189,plain,
    ( sk_c8 = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2185,f960]) ).

fof(f960,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f880,f41]) ).

fof(f880,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f858,f241]) ).

fof(f2185,plain,
    ( sk_c8 = multiply(inverse(sk_c8),identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f2183]) ).

fof(f2183,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2178,f574]) ).

fof(f574,plain,
    ( identity = sk_c7
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f572,plain,
    ( spl0_8
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2178,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f2010,f180]) ).

fof(f2010,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f29,f44]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f41,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1535,plain,
    ( ! [X0,X1] :
        ( multiply(X0,X1) != sk_c8
        | sk_c8 != inverse(sk_c8) )
    | ~ spl0_11 ),
    inference(inner_rewriting,[],[f1534]) ).

fof(f1534,plain,
    ( ! [X0,X1] :
        ( multiply(X0,X1) != sk_c8
        | sk_c8 != inverse(multiply(X0,X1)) )
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1496,f858]) ).

fof(f1496,plain,
    ( ! [X0,X1] :
        ( sk_c8 != multiply(X0,multiply(X1,identity))
        | sk_c8 != inverse(multiply(X0,X1)) )
    | ~ spl0_11 ),
    inference(superposition,[],[f1417,f3]) ).

fof(f1417,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(X5,identity)
        | sk_c8 != inverse(X5) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f1416]) ).

fof(f1416,plain,
    ( spl0_11
  <=> ! [X5] :
        ( sk_c8 != multiply(X5,identity)
        | sk_c8 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2312,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2311]) ).

fof(f2311,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f2296]) ).

fof(f2296,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f2286,f2189]) ).

fof(f2310,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2309,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f2305]) ).

fof(f2305,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f2286,f2149]) ).

fof(f2149,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f2147,f41]) ).

fof(f2147,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f68,f2009]) ).

fof(f2009,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f13,f44]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f2280,plain,
    ( spl0_9
    | spl0_10
    | spl0_10
    | spl0_11
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2266,f572,f179,f43,f1416,f1413,f1413,f1410]) ).

fof(f1410,plain,
    ( spl0_9
  <=> ! [X6] : identity != multiply(inverse(X6),sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1413,plain,
    ( spl0_10
  <=> ! [X3] :
        ( identity != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2266,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2265,f574]) ).

fof(f2265,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2264,f574]) ).

fof(f2264,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2263,f574]) ).

fof(f2263,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2262,f574]) ).

fof(f2262,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2261,f180]) ).

fof(f2261,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f2260,f574]) ).

fof(f2260,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2259,f2183]) ).

fof(f2259,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2176,f180]) ).

fof(f2176,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1599,f1626,f1633,f1636,f1629,f1834,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f20,f29,f13,f5,f44,f12,f16,f18,f15,f17,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11,f2090,f30,f2092,f32,f2093,f33,f2094,f35,f2095,f28,f2097,f4,f2098,f2007,f2099,f2101,f2010,f2105,f2106,f2107,f2052,f2021,f2020,f2019,f2012,f14,f19,f2009,f2146,f2148,f2175]) ).

fof(f2175,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f2174,f2007]) ).

fof(f2174,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1872,f2010]) ).

fof(f2148,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f2009]) ).

fof(f2146,plain,
    ( identity = multiply(sk_c1,multiply(sk_c8,inverse(sk_c7)))
    | spl0_2 ),
    inference(superposition,[],[f989,f2009]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

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

fof(f2012,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f17,f10,f34,f6,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f15,f18,f24,f25,f16,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12]) ).

fof(f2019,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f17,f10,f34,f6,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f15,f18,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16]) ).

fof(f2020,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f17,f10,f34,f6,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f15,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18]) ).

fof(f2021,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f17,f10,f34,f6,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15]) ).

fof(f2052,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f10,f34,f6,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17]) ).

fof(f2107,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f2010]) ).

fof(f2106,plain,
    ( sk_c8 = multiply(inverse(sk_c6),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f68,f2010]) ).

fof(f2105,plain,
    ( identity = multiply(sk_c6,multiply(sk_c8,inverse(sk_c7)))
    | spl0_2 ),
    inference(superposition,[],[f989,f2010]) ).

fof(f2101,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f2007]) ).

fof(f2099,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,inverse(sk_c6)))
    | spl0_2 ),
    inference(superposition,[],[f989,f2007]) ).

fof(f2098,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f19,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11,f2090,f30,f2092,f32,f2093,f33,f2094,f35,f2095,f28,f2097,f4]) ).

fof(f4,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f2097,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f19,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11,f2090,f30,f2092,f32,f2093,f33,f2094,f35,f2095,f28]) ).

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

fof(f2095,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f19,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11,f2090,f30,f2092,f32,f2093,f33,f2094,f35]) ).

fof(f35,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f2094,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f19,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11,f2090,f30,f2092,f32,f2093,f33]) ).

fof(f33,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f2093,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f19,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11,f2090,f30,f2092,f32]) ).

fof(f32,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f2092,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f19,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11,f2090,f30]) ).

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

fof(f2090,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9,f2089,f11]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f2089,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8,f2088,f9]) ).

fof(f9,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f2088,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6,f2087,f8]) ).

fof(f8,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f2087,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34,f2086,f6]) ).

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

fof(f2086,plain,
    ( sk_c7 = multiply(sk_c6,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f6,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10,f2085,f34]) ).

fof(f34,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f2085,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_2 ),
    inference(global_subsumption,[],[f37,f1,f2,f21,f3,f68,f242,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f34,f6,f8,f9,f11,f19,f30,f32,f33,f35,f1872,f31,f7,f23,f26,f24,f25,f22,f27,f14,f20,f28,f4,f29,f13,f5,f44,f2009,f12,f2012,f16,f2019,f18,f2020,f15,f2021,f17,f2052,f10]) ).

fof(f10,axiom,
    ( sk_c5 = inverse(sk_c4)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f18,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f26,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f1872,plain,
    ! [X3,X6,X4,X5] :
      ( identity != sk_c7
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X4)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(sk_c6,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(inverse(X6),sk_c6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X5,sk_c7)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    inference(forward_demodulation,[],[f37,f856]) ).

fof(f1834,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f31,f574]) ).

fof(f1629,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | identity = multiply(sk_c6,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1628,f574]) ).

fof(f1628,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f32,f574]) ).

fof(f1636,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | identity = multiply(sk_c5,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1635,f574]) ).

fof(f1635,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f35,f574]) ).

fof(f1633,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | identity = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1632,f574]) ).

fof(f1632,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f33,f574]) ).

fof(f1626,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | identity = multiply(sk_c6,sk_c8)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1625,f574]) ).

fof(f1625,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f30,f574]) ).

fof(f1599,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f34,f574]) ).

fof(f1269,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1157,f3]) ).

fof(f1157,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f989]) ).

fof(f1268,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1156,f858]) ).

fof(f1156,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f859,f989]) ).

fof(f1266,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1265,f3]) ).

fof(f1265,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1154,f1]) ).

fof(f1154,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f989]) ).

fof(f1264,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1153,f858]) ).

fof(f1153,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f68,f989]) ).

fof(f1244,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1138,f3]) ).

fof(f1138,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f989,f3]) ).

fof(f1126,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f989,f3]) ).

fof(f1093,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f989,f3]) ).

fof(f989,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f856,f3]) ).

fof(f1056,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f859]) ).

fof(f1045,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f859,f3]) ).

fof(f859,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f255,f68]) ).

fof(f1001,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f856]) ).

fof(f1016,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f999,f1]) ).

fof(f999,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f856]) ).

fof(f856,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f255,f2]) ).

fof(f974,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f880]) ).

fof(f973,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f68,f880]) ).

fof(f924,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f902,f858]) ).

fof(f902,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f255,f858]) ).

fof(f890,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f241,f858]) ).

fof(f913,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f886,f858]) ).

fof(f886,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f858,f255]) ).

fof(f870,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f68,f255]) ).

fof(f869,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f241,f255]) ).

fof(f866,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f68,f255]) ).

fof(f865,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f255]) ).

fof(f842,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f837,f1]) ).

fof(f837,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f797]) ).

fof(f836,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f68,f797]) ).

fof(f797,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f68,f241]) ).

fof(f805,plain,
    identity = inverse(identity),
    inference(superposition,[],[f537,f2]) ).

fof(f808,plain,
    ! [X0] : multiply(inverse(inverse(inverse(identity))),X0) = X0,
    inference(superposition,[],[f68,f537]) ).

fof(f807,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f537]) ).

fof(f537,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f68,f240]) ).

fof(f804,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f798,f1]) ).

fof(f798,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f241]) ).

fof(f240,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f68,f1]) ).

fof(f242,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f68,f3]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f37,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c8 != inverse(X3)
      | sk_c8 != inverse(X4)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(sk_c6,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(inverse(X6),sk_c6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c7 != multiply(X6,inverse(X6))
      | sk_c8 != multiply(X5,sk_c7)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    inference(equality_resolution,[],[f36]) ).

fof(f36,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X3)
      | sk_c8 != inverse(X4)
      | sk_c8 != inverse(X5)
      | inverse(X6) != X7
      | sk_c7 != multiply(sk_c6,sk_c8)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c7 != multiply(X6,X7)
      | sk_c8 != multiply(X5,sk_c7)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f2221,plain,
    ( spl0_11
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2182,f572,f173,f1416]) ).

fof(f173,plain,
    ( spl0_4
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2182,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(X5,identity)
        | sk_c8 != inverse(X5) )
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f174,f574]) ).

fof(f174,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f173]) ).

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

fof(f2172,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f2171,f573]) ).

fof(f573,plain,
    ( identity != sk_c7
    | spl0_8 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f2171,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f2164,f2]) ).

fof(f2164,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f68,f2149]) ).

fof(f2169,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2168]) ).

fof(f2168,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f2162,f181]) ).

fof(f181,plain,
    ( sk_c8 != sk_c6
    | spl0_6 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f2162,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f2007,f2149]) ).

fof(f2167,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f2166]) ).

fof(f2166,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f2161,f181]) ).

fof(f2161,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f2149,f2007]) ).

fof(f2143,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2142,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f2141,f573]) ).

fof(f2141,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2133,f2]) ).

fof(f2133,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f68,f2116]) ).

fof(f2116,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2114,f570]) ).

fof(f570,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f568,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2114,plain,
    ( sk_c8 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f68,f2104]) ).

fof(f2104,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2009,f2064]) ).

fof(f2064,plain,
    ( sk_c3 = sk_c1
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f959,f960]) ).

fof(f959,plain,
    ( sk_c3 = inverse(sk_c8)
    | ~ spl0_7 ),
    inference(superposition,[],[f880,f570]) ).

fof(f2138,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2137]) ).

fof(f2137,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2131,f181]) ).

fof(f2131,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f2007,f2116]) ).

fof(f2136,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f2130,f181]) ).

fof(f2130,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f2116,f2007]) ).

fof(f2084,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(subsumption_resolution,[],[f2082,f573]) ).

fof(f2082,plain,
    ( identity = sk_c7
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2078,f2]) ).

fof(f2078,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f68,f2008]) ).

fof(f2008,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2007,f180]) ).

fof(f2006,plain,
    ( ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2005]) ).

fof(f2005,plain,
    ( $false
    | ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(subsumption_resolution,[],[f2004,f573]) ).

fof(f2004,plain,
    ( identity = sk_c7
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f2001,f2]) ).

fof(f2001,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f68,f1984]) ).

fof(f1984,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f1930,f180]) ).

fof(f1930,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_7 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f3,f68,f242,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f569,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f17,f1929,f10]) ).

fof(f1929,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f3,f68,f242,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f569,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17]) ).

fof(f569,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f1928,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1927]) ).

fof(f1927,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f49,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309,f50,f310,f48,f40]) ).

fof(f40,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f48,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f23,f40]) ).

fof(f310,plain,
    ( sk_c8 = sk_c6
    | spl0_1 ),
    inference(forward_demodulation,[],[f277,f68]) ).

fof(f277,plain,
    ( sk_c6 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c8))
    | spl0_1 ),
    inference(superposition,[],[f68,f122]) ).

fof(f50,plain,
    ( sk_c5 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f26,f40]) ).

fof(f309,plain,
    ( identity = sk_c7
    | spl0_1 ),
    inference(forward_demodulation,[],[f274,f2]) ).

fof(f274,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f68,f85]) ).

fof(f281,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | spl0_1 ),
    inference(superposition,[],[f68,f51]) ).

fof(f279,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | spl0_1 ),
    inference(superposition,[],[f68,f49]) ).

fof(f276,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f68,f56]) ).

fof(f275,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f68,f53]) ).

fof(f263,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f68,f81]) ).

fof(f262,plain,
    ( multiply(sk_c7,sk_c4) = multiply(inverse(sk_c5),identity)
    | spl0_1 ),
    inference(superposition,[],[f68,f165]) ).

fof(f254,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f68,f63]) ).

fof(f253,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | spl0_1 ),
    inference(superposition,[],[f68,f73]) ).

fof(f289,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f252,f50]) ).

fof(f252,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c4),multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f68,f67]) ).

fof(f287,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f250,f48]) ).

fof(f250,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c3),multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f68,f61]) ).

fof(f247,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c8),multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f68,f62]) ).

fof(f246,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
    | spl0_1 ),
    inference(superposition,[],[f68,f72]) ).

fof(f194,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c7,multiply(sk_c8,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f192,f3]) ).

fof(f192,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(multiply(sk_c7,sk_c8),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f183]) ).

fof(f193,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,multiply(sk_c7,sk_c8))
    | spl0_1 ),
    inference(forward_demodulation,[],[f191,f162]) ).

fof(f191,plain,
    ( multiply(sk_c7,multiply(sk_c7,sk_c8)) = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f67,f183]) ).

fof(f183,plain,
    ( sk_c7 = multiply(sk_c5,multiply(sk_c7,sk_c8))
    | spl0_1 ),
    inference(superposition,[],[f73,f162]) ).

fof(f190,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,multiply(sk_c4,X0))) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f189,f1]) ).

fof(f189,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,multiply(sk_c4,X0)))
    | spl0_1 ),
    inference(forward_demodulation,[],[f187,f3]) ).

fof(f187,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(multiply(sk_c7,sk_c4),X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f165]) ).

fof(f188,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c7,multiply(sk_c7,sk_c4))
    | spl0_1 ),
    inference(forward_demodulation,[],[f186,f158]) ).

fof(f186,plain,
    ( multiply(sk_c4,identity) = multiply(sk_c7,multiply(sk_c7,sk_c4))
    | spl0_1 ),
    inference(superposition,[],[f67,f165]) ).

fof(f165,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,sk_c4))
    | spl0_1 ),
    inference(superposition,[],[f73,f158]) ).

fof(f185,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f184,f3]) ).

fof(f184,plain,
    ( ! [X0] : multiply(multiply(sk_c7,sk_c8),X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f162]) ).

fof(f162,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(forward_demodulation,[],[f157,f122]) ).

fof(f157,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c4,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f67,f56]) ).

fof(f168,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f167,f1]) ).

fof(f167,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = multiply(sk_c4,multiply(identity,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f166,f3]) ).

fof(f166,plain,
    ( ! [X0] : multiply(sk_c4,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c4),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f158]) ).

fof(f158,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c4,identity)
    | spl0_1 ),
    inference(superposition,[],[f67,f51]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f73,f67]) ).

fof(f155,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f67,f63]) ).

fof(f154,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f67,f73]) ).

fof(f67,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f55]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f56]) ).

fof(f147,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f60,f62]) ).

fof(f62,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f53]) ).

fof(f138,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f72,f61]) ).

fof(f61,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f54]) ).

fof(f129,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f128,f3]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(multiply(sk_c7,sk_c8),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f122]) ).

fof(f122,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f91,f93]) ).

fof(f126,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f125,f3]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(multiply(sk_c7,sk_c8),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f91]) ).

fof(f123,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f93,f91]) ).

fof(f91,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c2,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f60,f81]) ).

fof(f104,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c7,multiply(sk_c6,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f103,f3]) ).

fof(f103,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(multiply(sk_c7,sk_c6),X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f93]) ).

fof(f93,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c7,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f60,f53]) ).

fof(f95,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c7,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f60,f49]) ).

fof(f90,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f60,f72]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f52]) ).

fof(f88,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f85]) ).

fof(f85,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f73,f55]) ).

fof(f73,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f66,f1]) ).

fof(f66,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f51]) ).

fof(f84,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f81]) ).

fof(f81,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f72,f54]) ).

fof(f72,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f65,f1]) ).

fof(f65,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f56,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f27,f40]) ).

fof(f55,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f25,f40]) ).

fof(f54,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f40]) ).

fof(f53,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f22,f40]) ).

fof(f52,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f40]) ).

fof(f51,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f50]) ).

fof(f49,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f48]) ).

fof(f1926,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1925]) ).

fof(f1925,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f49,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309,f50,f310,f48]) ).

fof(f1924,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1923]) ).

fof(f1923,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309,f50,f310]) ).

fof(f1922,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309,f50]) ).

fof(f1920,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f313,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309]) ).

fof(f313,plain,
    ( sk_c2 = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f280,f68]) ).

fof(f280,plain,
    ( sk_c3 = multiply(inverse(sk_c7),multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f109]) ).

fof(f109,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f95,f94]) ).

fof(f94,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f47]) ).

fof(f47,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f45]) ).

fof(f45,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f1918,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1917]) ).

fof(f1917,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f423,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309]) ).

fof(f423,plain,
    ( sk_c8 = inverse(sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f419]) ).

fof(f419,plain,
    ( sk_c8 = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f379,f1]) ).

fof(f379,plain,
    ( sk_c8 = multiply(identity,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f372,f299]) ).

fof(f299,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f268,f2]) ).

fof(f268,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f74]) ).

fof(f74,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f52]) ).

fof(f71,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f64,f1]) ).

fof(f64,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f47]) ).

fof(f372,plain,
    ( sk_c8 = multiply(sk_c7,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f371,f94]) ).

fof(f371,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f323,f299]) ).

fof(f323,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f313]) ).

fof(f1916,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1915]) ).

fof(f1915,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f299,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309]) ).

fof(f1914,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1913]) ).

fof(f1913,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f362,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309]) ).

fof(f362,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f361,f1]) ).

fof(f361,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f342,f1]) ).

fof(f342,plain,
    ( multiply(identity,sk_c8) = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f122,f299]) ).

fof(f1912,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1911]) ).

fof(f1911,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f419,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309]) ).

fof(f1910,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1909]) ).

fof(f1909,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573,f309]) ).

fof(f1908,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1907]) ).

fof(f1907,plain,
    ( $false
    | spl0_1
    | ~ spl0_4
    | spl0_8 ),
    inference(global_subsumption,[],[f174,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573]) ).

fof(f1906,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1905]) ).

fof(f1905,plain,
    ( $false
    | spl0_1
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f180,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573]) ).

fof(f1904,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1903]) ).

fof(f1903,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f12,f20,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17,f573]) ).

fof(f1902,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1901]) ).

fof(f1901,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10,f17]) ).

fof(f1900,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1899]) ).

fof(f1899,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34,f10]) ).

fof(f1898,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1897]) ).

fof(f1897,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f10,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6,f34]) ).

fof(f1896,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1895]) ).

fof(f1895,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1601,f34,f10,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6]) ).

fof(f1601,plain,
    ( identity = sk_c7
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f4,f540]) ).

fof(f540,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f245,f2]) ).

fof(f245,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f71]) ).

fof(f1894,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1893]) ).

fof(f1893,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f28,f4,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8,f6]) ).

fof(f1892,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1891]) ).

fof(f1891,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f28,f4,f6,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9,f8]) ).

fof(f1890,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1889]) ).

fof(f1889,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f28,f4,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11,f9]) ).

fof(f1888,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1887]) ).

fof(f1887,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f9,f28,f4,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19,f11]) ).

fof(f1886,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1885]) ).

fof(f1885,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f9,f28,f4,f11,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30,f19]) ).

fof(f1884,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1883]) ).

fof(f1883,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1624,f34,f10,f13,f29,f5,f9,f28,f4,f19,f11,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30]) ).

fof(f1624,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c6,sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f28,f540]) ).

fof(f1882,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1881]) ).

fof(f1881,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f9,f28,f4,f19,f11,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32,f30]) ).

fof(f1880,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1879]) ).

fof(f1879,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f9,f28,f4,f19,f11,f30,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33,f32]) ).

fof(f1878,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1877]) ).

fof(f1877,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f9,f28,f4,f19,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35,f33]) ).

fof(f1876,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1875]) ).

fof(f1875,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f33,f9,f28,f4,f19,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872,f35]) ).

fof(f1874,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1873]) ).

fof(f1873,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31,f1872]) ).

fof(f1871,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1870]) ).

fof(f1870,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f5,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7,f31]) ).

fof(f1869,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1868]) ).

fof(f1868,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23,f7]) ).

fof(f1867,plain,
    ( spl0_1
    | spl0_7
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1866]) ).

fof(f1866,plain,
    ( $false
    | spl0_1
    | spl0_7
    | spl0_8 ),
    inference(global_subsumption,[],[f569,f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23]) ).

fof(f1865,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1864]) ).

fof(f1864,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26,f23]) ).

fof(f1863,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1862]) ).

fof(f1862,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15,f26]) ).

fof(f1861,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1860]) ).

fof(f1860,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18,f15]) ).

fof(f1859,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1858,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24,f18]) ).

fof(f1857,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1856,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f1855,f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24]) ).

fof(f1855,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f20,f540]) ).

fof(f1854,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1853]) ).

fof(f1853,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25,f24]) ).

fof(f1852,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1851]) ).

fof(f1851,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f24,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16,f25]) ).

fof(f1850,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1849]) ).

fof(f1849,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f665,f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f25,f24,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16]) ).

fof(f665,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f12,f540]) ).

fof(f1848,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1847,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f12,f25,f24,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22,f16]) ).

fof(f1846,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1845]) ).

fof(f1845,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27,f22]) ).

fof(f1844,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1843]) ).

fof(f1843,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f22,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14,f27]) ).

fof(f1842,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1841]) ).

fof(f1841,plain,
    ( $false
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f30,f32,f6,f8,f37,f1,f2,f21,f40,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f72,f81,f84,f73,f85,f88,f60,f90,f95,f93,f104,f91,f123,f126,f122,f129,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f162,f185,f165,f188,f190,f183,f193,f194,f68,f242,f246,f247,f287,f289,f253,f254,f262,f263,f309,f275,f276,f279,f281,f310,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f240,f573,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f14]) ).

fof(f1840,plain,
    ( ~ spl0_2
    | spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1839]) ).

fof(f1839,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f796,f795,f1597,f1599,f1600,f1604,f1613,f1617,f1626,f1627,f1633,f1634,f1636,f1637,f1647,f1648,f181,f1598,f1650,f1651,f1652,f1657,f1654,f1655,f1605,f1658,f1660,f878,f1656,f1699,f1700,f1708,f1704,f1705,f1614,f1735,f1618,f1742,f1649,f1749,f1741,f1759,f1763,f1765,f1758,f1768,f1769,f1771,f1775,f1776,f1777,f1783,f1784,f1792,f1789,f1664,f1803,f1804,f1806,f1824,f1826,f1815,f1812,f1799,f1629,f1830,f1833,f1834,f1835,f1838,f569]) ).

fof(f1838,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1837,f181]) ).

fof(f1837,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1836,f551]) ).

fof(f1836,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f7,f574]) ).

fof(f1835,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f796,f795,f1597,f1599,f1600,f1604,f1613,f1617,f1626,f1627,f1633,f1634,f1636,f1637,f1647,f1648,f181,f1598,f1650,f1651,f1652,f1657,f1654,f1655,f1605,f1658,f1660,f878,f1656,f1699,f1700,f1708,f1704,f1705,f1614,f1735,f1618,f1742,f1649,f1749,f1741,f1759,f1763,f1765,f1758,f1768,f1769,f1771,f1775,f1776,f1777,f1783,f1784,f1792,f1789,f1664,f1803,f1804,f1806,f1824,f1826,f1815,f1812,f1799,f1629,f1830,f1833,f1834]) ).

fof(f1833,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1832,f181]) ).

fof(f1832,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1831,f551]) ).

fof(f1831,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c3,identity)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1606,f574]) ).

fof(f1606,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f8,f574]) ).

fof(f1830,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f796,f795,f1597,f1599,f1600,f1604,f1613,f1617,f1626,f1627,f1633,f1634,f1636,f1637,f1647,f1648,f181,f1598,f1650,f1651,f1652,f1657,f1654,f1655,f1605,f1658,f1660,f878,f1656,f1699,f1700,f1708,f1704,f1705,f1614,f1735,f1618,f1742,f1649,f1749,f1741,f1759,f1763,f1765,f1758,f1768,f1769,f1771,f1775,f1776,f1777,f1783,f1784,f1792,f1789,f1664,f1803,f1804,f1806,f1824,f1826,f1815,f1812,f1799,f1629]) ).

fof(f1799,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,X0)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f542,f1664]) ).

fof(f1812,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,X0)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1801,f878]) ).

fof(f1801,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f1664]) ).

fof(f1815,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1777,f1806]) ).

fof(f1826,plain,
    ( sk_c6 = sk_c2
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1825,f1758]) ).

fof(f1825,plain,
    ( sk_c2 = sk_c4
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1819,f878]) ).

fof(f1819,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1656,f1806]) ).

fof(f1824,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1818,f1758]) ).

fof(f1818,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1614,f1806]) ).

fof(f1806,plain,
    ( sk_c8 = sk_c5
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1805,f551]) ).

fof(f1805,plain,
    ( sk_c5 = multiply(sk_c8,identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1796,f1769]) ).

fof(f1796,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c6)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1664,f856]) ).

fof(f1804,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1795,f551]) ).

fof(f1795,plain,
    ( ! [X0] : multiply(sk_c8,identity) = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1664,f989]) ).

fof(f1803,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,X0)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1794,f1769]) ).

fof(f1794,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c6),X0)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1664,f859]) ).

fof(f1664,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1661,f1]) ).

fof(f1661,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1605]) ).

fof(f1789,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f859,f1777]) ).

fof(f1792,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1787,f880]) ).

fof(f1787,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f797,f1777]) ).

fof(f1784,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f1777]) ).

fof(f1783,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1777]) ).

fof(f1777,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f880,f1769]) ).

fof(f1776,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f859,f1769]) ).

fof(f1775,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f856,f1769]) ).

fof(f1771,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f1769]) ).

fof(f1769,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1598,f1758]) ).

fof(f1768,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1614,f1758]) ).

fof(f1758,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1741,f858]) ).

fof(f1765,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,X0)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1762,f1]) ).

fof(f1762,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(identity,X0))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1741]) ).

fof(f1763,plain,
    ( identity = multiply(sk_c4,inverse(sk_c6))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1760,f1]) ).

fof(f1760,plain,
    ( identity = multiply(sk_c4,multiply(identity,inverse(sk_c6)))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f989,f1741]) ).

fof(f1759,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f858,f1741]) ).

fof(f1741,plain,
    ( sk_c6 = multiply(sk_c4,identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1737,f1656]) ).

fof(f1737,plain,
    ( sk_c6 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f1618]) ).

fof(f1749,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1745,f1]) ).

fof(f1745,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1649]) ).

fof(f1649,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1598]) ).

fof(f1742,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1738,f1]) ).

fof(f1738,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1618]) ).

fof(f1618,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599,f1600,f1604,f1605,f1613,f1614,f1617]) ).

fof(f1735,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1731,f1]) ).

fof(f1731,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1614]) ).

fof(f1614,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599,f1600,f1604,f1605,f1613]) ).

fof(f1705,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f859,f1656]) ).

fof(f1704,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f856,f1656]) ).

fof(f1708,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1703,f880]) ).

fof(f1703,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f797,f1656]) ).

fof(f1700,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f1656]) ).

fof(f1699,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1656]) ).

fof(f1656,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f880,f1598]) ).

fof(f878,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f858,f278]) ).

fof(f1660,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f1605]) ).

fof(f1658,plain,
    ( sk_c6 = multiply(sk_c2,identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f542,f1605]) ).

fof(f1605,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599,f1600,f1604]) ).

fof(f1655,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f859,f1598]) ).

fof(f1654,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f856,f1598]) ).

fof(f1657,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1653,f880]) ).

fof(f1653,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c4)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f797,f1598]) ).

fof(f1652,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f255,f1598]) ).

fof(f1651,plain,
    ( sk_c4 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f241,f1598]) ).

fof(f1650,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f68,f1598]) ).

fof(f1598,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597]) ).

fof(f1648,plain,
    ( sk_c8 != sk_c6
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1647,f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f3,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f240,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269]) ).

fof(f1647,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != sk_c6
        | sk_c8 != multiply(X5,identity)
        | identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1646,f551]) ).

fof(f1646,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c6 != multiply(sk_c8,identity)
        | sk_c8 != multiply(X5,identity)
        | identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5) )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1645,f574]) ).

fof(f1645,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1644,f574]) ).

fof(f1644,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1643,f574]) ).

fof(f1643,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1642,f856]) ).

fof(f1642,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1641,f574]) ).

fof(f1641,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1640,f574]) ).

fof(f1640,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(inverse(X6),sk_c6)
        | identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1639,f574]) ).

fof(f1639,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c8,sk_c6)
        | identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1638,f574]) ).

fof(f1638,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(sk_c6,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f37,f574]) ).

fof(f1637,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599,f1600,f1604,f1605,f1613,f1614,f1617,f1618,f1626,f1627,f1633,f1634,f1636]) ).

fof(f1634,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599,f1600,f1604,f1605,f1613,f1614,f1617,f1618,f1626,f1627,f1633]) ).

fof(f1627,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599,f1600,f1604,f1605,f1613,f1614,f1617,f1618,f1626]) ).

fof(f1617,plain,
    ( sk_c8 = sk_c6
    | identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1616,f551]) ).

fof(f1616,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | identity = multiply(sk_c5,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1615,f574]) ).

fof(f1615,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f11,f574]) ).

fof(f1613,plain,
    ( sk_c8 = sk_c6
    | identity = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1612,f551]) ).

fof(f1612,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | identity = multiply(sk_c4,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1611,f574]) ).

fof(f1611,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f9,f574]) ).

fof(f1604,plain,
    ( sk_c8 = sk_c6
    | identity = multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1603,f551]) ).

fof(f1603,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | identity = multiply(sk_c8,sk_c6)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1602,f574]) ).

fof(f1602,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f6,f574]) ).

fof(f1600,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599]) ).

fof(f1597,plain,
    ( sk_c8 = sk_c6
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1596,f551]) ).

fof(f1596,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c5 = inverse(sk_c4)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f10,f574]) ).

fof(f795,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f241,f531]) ).

fof(f796,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f531,f241]) ).

fof(f1591,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f879,f880]) ).

fof(f879,plain,
    ( sk_c2 = inverse(inverse(inverse(sk_c8)))
    | ~ spl0_2 ),
    inference(superposition,[],[f858,f531]) ).

fof(f1590,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f885,f541]) ).

fof(f885,plain,
    ( multiply(sk_c2,identity) = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f858,f245]) ).

fof(f888,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f278,f858]) ).

fof(f1589,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f889,f880]) ).

fof(f889,plain,
    ( sk_c2 = inverse(inverse(inverse(sk_c8)))
    | ~ spl0_2 ),
    inference(superposition,[],[f531,f858]) ).

fof(f1588,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f895,f541]) ).

fof(f895,plain,
    ( multiply(sk_c2,identity) = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f245,f858]) ).

fof(f958,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f880,f45]) ).

fof(f1585,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f996,f541]) ).

fof(f996,plain,
    ( multiply(sk_c2,identity) = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f542,f856]) ).

fof(f1091,plain,
    ( ! [X0] : identity = multiply(inverse(sk_c8),multiply(X0,inverse(multiply(sk_c2,X0))))
    | ~ spl0_2 ),
    inference(superposition,[],[f989,f245]) ).

fof(f1124,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c2,inverse(multiply(X0,inverse(sk_c8)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f989,f245]) ).

fof(f1260,plain,
    ( ! [X0] : sk_c2 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1151,f541]) ).

fof(f1151,plain,
    ( ! [X0] : multiply(sk_c2,identity) = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f542,f989]) ).

fof(f1584,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1152,f551]) ).

fof(f1152,plain,
    ( ! [X0] : multiply(sk_c8,identity) = multiply(X0,inverse(multiply(sk_c2,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f989]) ).

fof(f639,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f638,f1]) ).

fof(f638,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f531]) ).

fof(f637,plain,
    ( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f531]) ).

fof(f531,plain,
    ( sk_c2 = multiply(inverse(inverse(inverse(sk_c8))),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f521]) ).

fof(f542,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f245,f68]) ).

fof(f551,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f540]) ).

fof(f541,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f245,f278]) ).

fof(f555,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f553,f1]) ).

fof(f553,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f540]) ).

fof(f554,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f552,f45]) ).

fof(f552,plain,
    ( sk_c8 = multiply(inverse(sk_c2),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f540]) ).

fof(f548,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f245]) ).

fof(f547,plain,
    ( sk_c2 = multiply(sk_c2,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f278,f245]) ).

fof(f545,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f245]) ).

fof(f544,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f245]) ).

fof(f533,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f532,f1]) ).

fof(f532,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c2,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f521]) ).

fof(f521,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c2)
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f278]) ).

fof(f523,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f522,f1]) ).

fof(f522,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f278]) ).

fof(f278,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f47]) ).

fof(f1829,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1828]) ).

fof(f1828,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1827,f181]) ).

fof(f1827,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1826,f1679]) ).

fof(f1679,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f1610,f858]) ).

fof(f1610,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f45,f47,f3,f71,f181,f68,f242,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f278,f523,f521,f533,f240,f245,f544,f545,f547,f548,f540,f554,f555,f541,f551,f570,f576,f577,f581,f580,f542,f531,f637,f639,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f865,f866,f869,f870,f858,f913,f890,f924,f880,f973,f974,f856,f1016,f1001,f859,f1045,f1056,f989,f1093,f1126,f1244,f1264,f1266,f1268,f1269,f1584,f1260,f1124,f1091,f1585,f1587,f958,f1588,f1589,f888,f1590,f1591,f878,f796,f795,f1597,f1598,f1599,f1600,f1604,f1605,f1609]) ).

fof(f1609,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1608,f551]) ).

fof(f1608,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1607,f574]) ).

fof(f1607,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1606,f580]) ).

fof(f1587,plain,
    ( sk_c2 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f959,f580]) ).

fof(f580,plain,
    ( sk_c2 = sk_c3
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f578,f278]) ).

fof(f578,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f68,f577]) ).

fof(f581,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f579,f1]) ).

fof(f579,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f577]) ).

fof(f577,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f570]) ).

fof(f576,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f68,f570]) ).

fof(f1822,plain,
    ( ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1821]) ).

fof(f1821,plain,
    ( $false
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1820,f181]) ).

fof(f1820,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1815,f1690]) ).

fof(f1690,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_2
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f45,f1679]) ).

fof(f1579,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1578]) ).

fof(f1578,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1577,f880]) ).

fof(f1577,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1546,f540]) ).

fof(f1546,plain,
    ( identity != multiply(sk_c2,sk_c8)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f1414,f245]) ).

fof(f1414,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f1413]) ).

fof(f1576,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1575,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1574,f880]) ).

fof(f1574,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1550,f880]) ).

fof(f1550,plain,
    ( sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1545]) ).

fof(f1545,plain,
    ( identity != identity
    | sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_10 ),
    inference(superposition,[],[f1414,f797]) ).

fof(f1568,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f1567]) ).

fof(f1567,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1551,f880]) ).

fof(f1551,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1542]) ).

fof(f1542,plain,
    ( identity != identity
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_10 ),
    inference(superposition,[],[f1414,f2]) ).

fof(f1564,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1563]) ).

fof(f1563,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1552,f45]) ).

fof(f1552,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1540]) ).

fof(f1540,plain,
    ( identity != identity
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f1414,f540]) ).

fof(f1562,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1560,f684]) ).

fof(f684,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f45,f679]) ).

fof(f679,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f675,f1]) ).

fof(f675,plain,
    ( sk_c8 = multiply(identity,sk_c2)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f656,f574]) ).

fof(f656,plain,
    ( sk_c8 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f649,f551]) ).

fof(f649,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f517,f47]) ).

fof(f517,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f491]) ).

fof(f491,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f490]) ).

fof(f490,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f489,f180]) ).

fof(f489,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f30,f180]) ).

fof(f1560,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1559,f880]) ).

fof(f1559,plain,
    ( sk_c8 != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1539,f574]) ).

fof(f1539,plain,
    ( identity != sk_c7
    | sk_c8 != inverse(inverse(inverse(sk_c8)))
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1414,f524]) ).

fof(f524,plain,
    ( sk_c7 = multiply(inverse(inverse(sk_c8)),sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f68,f516]) ).

fof(f516,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_6 ),
    inference(superposition,[],[f68,f491]) ).

fof(f1558,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1557]) ).

fof(f1557,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1556,f684]) ).

fof(f1556,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1538,f574]) ).

fof(f1538,plain,
    ( identity != sk_c7
    | sk_c8 != inverse(sk_c8)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f1414,f491]) ).

fof(f1555,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1554]) ).

fof(f1554,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1553,f684]) ).

fof(f1553,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1537]) ).

fof(f1537,plain,
    ( identity != identity
    | sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f1414,f685]) ).

fof(f685,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f47,f679]) ).

fof(f1531,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1530]) ).

fof(f1530,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1529,f684]) ).

fof(f1529,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1528,f551]) ).

fof(f1528,plain,
    ( sk_c8 != inverse(multiply(sk_c8,identity))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1497,f805]) ).

fof(f1497,plain,
    ( sk_c8 != inverse(multiply(sk_c8,inverse(identity)))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1494]) ).

fof(f1494,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(multiply(sk_c8,inverse(identity)))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1417,f1373]) ).

fof(f1373,plain,
    ( ! [X0] : sk_c8 = multiply(multiply(sk_c8,inverse(X0)),X0)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1273,f880]) ).

fof(f1273,plain,
    ( ! [X0] : sk_c8 = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1261,f686]) ).

fof(f686,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f71,f679]) ).

fof(f1261,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1260,f679]) ).

fof(f1527,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1526]) ).

fof(f1526,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1525,f551]) ).

fof(f1525,plain,
    ( sk_c8 != multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1524,f679]) ).

fof(f1524,plain,
    ( sk_c8 != multiply(sk_c2,identity)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1493,f880]) ).

fof(f1493,plain,
    ( sk_c8 != multiply(sk_c2,identity)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1417,f245]) ).

fof(f1511,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1510]) ).

fof(f1510,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1509,f45]) ).

fof(f1509,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1487,f679]) ).

fof(f1487,plain,
    ( sk_c8 != sk_c2
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1417,f541]) ).

fof(f1508,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1507]) ).

fof(f1507,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1498,f684]) ).

fof(f1498,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1486]) ).

fof(f1486,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1417,f551]) ).

fof(f1505,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1504]) ).

fof(f1504,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1503,f880]) ).

fof(f1503,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1502,f880]) ).

fof(f1502,plain,
    ( sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1484,f679]) ).

fof(f1484,plain,
    ( sk_c8 != sk_c2
    | sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1417,f531]) ).

fof(f1501,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1500]) ).

fof(f1500,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1499,f880]) ).

fof(f1499,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1483,f679]) ).

fof(f1483,plain,
    ( sk_c8 != sk_c2
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f1417,f278]) ).

fof(f1447,plain,
    ( ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1446]) ).

fof(f1446,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1430,f540]) ).

fof(f1430,plain,
    ( identity != multiply(sk_c2,sk_c8)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f245]) ).

fof(f1411,plain,
    ( ! [X6] : identity != multiply(inverse(X6),sk_c8)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1410]) ).

fof(f1445,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1444,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1425,f574]) ).

fof(f1425,plain,
    ( identity != sk_c7
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f524]) ).

fof(f1443,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1442]) ).

fof(f1442,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1424,f685]) ).

fof(f1424,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f41]) ).

fof(f1441,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1440,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1423,f685]) ).

fof(f1423,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f570]) ).

fof(f1439,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1438]) ).

fof(f1438,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1422,f685]) ).

fof(f1422,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f45]) ).

fof(f1437,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1436]) ).

fof(f1436,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1421,f685]) ).

fof(f1421,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f684]) ).

fof(f1435,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1426]) ).

fof(f1426,plain,
    ( identity != identity
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f2]) ).

fof(f1433,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f1432]) ).

fof(f1432,plain,
    ( $false
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f1429]) ).

fof(f1429,plain,
    ( identity != identity
    | ~ spl0_9 ),
    inference(superposition,[],[f1411,f797]) ).

fof(f1418,plain,
    ( spl0_9
    | spl0_10
    | spl0_10
    | spl0_11
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1079,f572,f179,f43,f1416,f1413,f1413,f1410]) ).

fof(f1079,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != multiply(X5,identity)
        | identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1078,f574]) ).

fof(f1078,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1077,f574]) ).

fof(f1077,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != sk_c7
        | identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1076,f856]) ).

fof(f1076,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1075,f574]) ).

fof(f1075,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X3,sk_c8)
        | identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1074,f574]) ).

fof(f1074,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1073,f574]) ).

fof(f1073,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f1072,f551]) ).

fof(f1072,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != multiply(sk_c8,identity)
        | sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1071,f574]) ).

fof(f1071,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != multiply(sk_c8,sk_c7)
        | sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f484,f491]) ).

fof(f484,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != multiply(sk_c8,sk_c7)
        | sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f483,f180]) ).

fof(f483,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f482,f180]) ).

fof(f482,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f481]) ).

fof(f481,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f480,f180]) ).

fof(f480,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c6)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f37,f180]) ).

fof(f955,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f954]) ).

fof(f954,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f938,f540]) ).

fof(f938,plain,
    ( identity != multiply(sk_c2,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f245]) ).

fof(f927,plain,
    ( ! [X6] : identity != multiply(inverse(X6),sk_c8)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f34,f10,f13,f29,f31,f5,f7,f27,f22,f33,f9,f28,f4,f19,f35,f11,f14,f30,f32,f6,f8,f37,f1,f2,f21,f3,f68,f242,f171,f17,f16,f12,f25,f24,f20,f18,f15,f26,f23,f240,f574,f241,f804,f537,f807,f808,f805,f797,f836,f842,f255,f856,f859,f865,f866,f869,f870,f858,f880,f913,f890,f924,f926]) ).

fof(f926,plain,
    ( ! [X6] :
        ( identity != multiply(X6,inverse(X6))
        | identity != multiply(inverse(X6),sk_c8) )
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f925,f574]) ).

fof(f925,plain,
    ( ! [X6] :
        ( identity != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) )
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f171,f574]) ).

fof(f171,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl0_3
  <=> ! [X6] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f953,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f952]) ).

fof(f952,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f933,f574]) ).

fof(f933,plain,
    ( identity != sk_c7
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f524]) ).

fof(f951,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f950]) ).

fof(f950,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f932,f685]) ).

fof(f932,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f41]) ).

fof(f949,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f948]) ).

fof(f948,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f931,f685]) ).

fof(f931,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f570]) ).

fof(f947,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f946]) ).

fof(f946,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f930,f685]) ).

fof(f930,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f45]) ).

fof(f945,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f944]) ).

fof(f944,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f929,f685]) ).

fof(f929,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f684]) ).

fof(f943,plain,
    ( ~ spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f942]) ).

fof(f942,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f934]) ).

fof(f934,plain,
    ( identity != identity
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f2]) ).

fof(f941,plain,
    ( ~ spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f940]) ).

fof(f940,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f937]) ).

fof(f937,plain,
    ( identity != identity
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f927,f797]) ).

fof(f670,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f669]) ).

fof(f669,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f668,f573]) ).

fof(f668,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f667,f540]) ).

fof(f667,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f666,f526]) ).

fof(f526,plain,
    ( sk_c2 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f518,f278]) ).

fof(f518,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f68,f515]) ).

fof(f515,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f41]) ).

fof(f666,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_2
    | spl0_8 ),
    inference(subsumption_resolution,[],[f665,f573]) ).

fof(f575,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f560,f43,f39,f572,f568]) ).

fof(f560,plain,
    ( identity = sk_c7
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f559,f540]) ).

fof(f559,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f15,f526]) ).

fof(f479,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f478]) ).

fof(f478,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f477,f357]) ).

fof(f357,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f356,f180]) ).

fof(f356,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f339,f1]) ).

fof(f339,plain,
    ( identity = multiply(sk_c8,multiply(identity,sk_c6))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f102,f299]) ).

fof(f102,plain,
    ( sk_c7 = multiply(sk_c8,multiply(sk_c7,sk_c6))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f93]) ).

fof(f477,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f457,f423]) ).

fof(f457,plain,
    ( identity != multiply(sk_c8,inverse(sk_c8))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f456]) ).

fof(f456,plain,
    ( identity != identity
    | identity != multiply(sk_c8,inverse(sk_c8))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f395,f2]) ).

fof(f395,plain,
    ( ! [X6] :
        ( identity != multiply(inverse(X6),sk_c8)
        | identity != multiply(X6,inverse(X6)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f394,f299]) ).

fof(f394,plain,
    ( ! [X6] :
        ( identity != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f171,f299]) ).

fof(f476,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f475]) ).

fof(f475,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(global_subsumption,[],[f26,f18,f34,f10,f23,f15,f13,f29,f31,f5,f7,f25,f20,f27,f22,f24,f17,f33,f9,f12,f28,f4,f19,f35,f11,f14,f16,f30,f32,f6,f8,f37,f1,f2,f21,f40,f45,f47,f48,f49,f50,f51,f52,f53,f54,f55,f56,f3,f71,f74,f77,f79,f80,f72,f81,f84,f73,f85,f88,f60,f90,f95,f96,f98,f101,f93,f104,f94,f108,f109,f111,f102,f114,f115,f105,f119,f121,f91,f123,f126,f122,f127,f129,f124,f133,f134,f61,f138,f62,f147,f63,f67,f154,f155,f159,f158,f168,f116,f162,f185,f165,f188,f190,f183,f193,f194,f89,f195,f196,f198,f202,f203,f212,f210,f205,f216,f208,f226,f225,f232,f231,f227,f234,f228,f236,f68,f240,f241,f242,f245,f246,f247,f248,f286,f287,f288,f289,f253,f254,f255,f290,f291,f295,f260,f296,f262,f263,f264,f267,f300,f309,f275,f276,f278,f279,f281,f310,f171,f313,f323,f324,f326,f327,f299,f350,f352,f353,f363,f368,f370,f371,f380,f381,f376,f382,f383,f333,f388,f334,f393,f364,f408,f409,f405,f410,f411,f366,f415,f418,f379,f420,f421,f422,f419,f438,f427,f446,f423,f450,f395,f474]) ).

fof(f474,plain,
    ( identity != multiply(sk_c4,sk_c5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f473,f50]) ).

fof(f473,plain,
    ( identity != multiply(sk_c4,inverse(sk_c4))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f455,f366]) ).

fof(f455,plain,
    ( identity != multiply(sk_c5,sk_c8)
    | identity != multiply(sk_c4,inverse(sk_c4))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f395,f50]) ).

fof(f450,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f423]) ).

fof(f446,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f445,f419]) ).

fof(f445,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f433,f313]) ).

fof(f433,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f203,f419]) ).

fof(f427,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f419]) ).

fof(f438,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f437,f1]) ).

fof(f437,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f426,f299]) ).

fof(f426,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f419]) ).

fof(f422,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(identity,multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f379]) ).

fof(f421,plain,
    ( sk_c2 = multiply(inverse(identity),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f379]) ).

fof(f420,plain,
    ( sk_c8 = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1,f379]) ).

fof(f418,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f416,f1]) ).

fof(f416,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f366]) ).

fof(f415,plain,
    ( sk_c8 = multiply(inverse(sk_c5),identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f366]) ).

fof(f366,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f346,f1]) ).

fof(f346,plain,
    ( identity = multiply(sk_c5,multiply(identity,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f183,f299]) ).

fof(f411,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f407,f1]) ).

fof(f407,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f364]) ).

fof(f410,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f406,f50]) ).

fof(f406,plain,
    ( identity = multiply(inverse(sk_c4),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f364]) ).

fof(f405,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f73,f364]) ).

fof(f409,plain,
    ( sk_c8 = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f404,f299]) ).

fof(f404,plain,
    ( sk_c8 = multiply(sk_c7,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f158,f364]) ).

fof(f408,plain,
    ( sk_c8 = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f403,f299]) ).

fof(f403,plain,
    ( sk_c8 = multiply(sk_c7,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f364,f158]) ).

fof(f364,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f344,f1]) ).

fof(f344,plain,
    ( multiply(sk_c4,identity) = multiply(identity,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f162,f299]) ).

fof(f393,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f392,f1]) ).

fof(f392,plain,
    ( multiply(sk_c4,sk_c5) = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f389,f299]) ).

fof(f389,plain,
    ( multiply(sk_c4,sk_c5) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f67,f334]) ).

fof(f334,plain,
    ( sk_c5 = multiply(sk_c5,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f85,f299]) ).

fof(f388,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f387,f1]) ).

fof(f387,plain,
    ( multiply(sk_c2,sk_c8) = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f384,f299]) ).

fof(f384,plain,
    ( multiply(sk_c2,sk_c8) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f333]) ).

fof(f333,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f74,f299]) ).

fof(f383,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f378,f1]) ).

fof(f378,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f371]) ).

fof(f382,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f377,f45]) ).

fof(f377,plain,
    ( identity = multiply(inverse(sk_c2),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f371]) ).

fof(f376,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f371]) ).

fof(f381,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f374,f313]) ).

fof(f374,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f203,f371]) ).

fof(f380,plain,
    ( sk_c8 = multiply(identity,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f373,f299]) ).

fof(f373,plain,
    ( sk_c8 = multiply(sk_c7,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f94,f371]) ).

fof(f370,plain,
    ( identity = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f369,f313]) ).

fof(f369,plain,
    ( identity = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f348,f1]) ).

fof(f348,plain,
    ( identity = multiply(sk_c3,multiply(identity,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f208,f299]) ).

fof(f368,plain,
    ( identity = multiply(sk_c2,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f367,f313]) ).

fof(f367,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f347,f1]) ).

fof(f347,plain,
    ( identity = multiply(sk_c3,multiply(identity,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f205,f299]) ).

fof(f363,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f343,f1]) ).

fof(f343,plain,
    ( identity = multiply(sk_c8,multiply(identity,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f124,f299]) ).

fof(f353,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f336,f1]) ).

fof(f336,plain,
    ( multiply(sk_c2,identity) = multiply(identity,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f91,f299]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f351,f313]) ).

fof(f351,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f332,f1]) ).

fof(f332,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f299]) ).

fof(f350,plain,
    ( sk_c8 = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f331,f313]) ).

fof(f331,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f299]) ).

fof(f327,plain,
    ( identity = multiply(sk_c2,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f205,f313]) ).

fof(f326,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c2,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f203,f313]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f313]) ).

fof(f300,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f269,f2]) ).

fof(f269,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f98]) ).

fof(f267,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f228]) ).

fof(f264,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f225]) ).

fof(f296,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f261,f48]) ).

fof(f261,plain,
    ( multiply(sk_c7,sk_c2) = multiply(inverse(sk_c3),identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f205]) ).

fof(f260,plain,
    ( multiply(sk_c7,sk_c2) = multiply(inverse(sk_c8),identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f105]) ).

fof(f295,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f294,f225]) ).

fof(f294,plain,
    ( multiply(sk_c7,sk_c8) = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f259,f122]) ).

fof(f259,plain,
    ( multiply(sk_c7,sk_c6) = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f102]) ).

fof(f291,plain,
    ( sk_c8 = multiply(inverse(sk_c5),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f257,f225]) ).

fof(f257,plain,
    ( multiply(sk_c7,sk_c8) = multiply(inverse(sk_c5),sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f68,f183]) ).

fof(f290,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f256,f225]) ).

fof(f256,plain,
    ( multiply(sk_c7,sk_c8) = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f124]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f251,f48]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f203]) ).

fof(f286,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f249,f45]) ).

fof(f249,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c2),multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f68,f60]) ).

fof(f248,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f89]) ).

fof(f236,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f228]) ).

fof(f228,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f183,f225]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f227]) ).

fof(f227,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f208,f225]) ).

fof(f231,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f225]) ).

fof(f232,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f230,f81]) ).

fof(f230,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f225]) ).

fof(f225,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f223,f74]) ).

fof(f223,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f208]) ).

fof(f226,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,multiply(sk_c8,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f224,f3]) ).

fof(f224,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(multiply(sk_c7,sk_c8),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f208]) ).

fof(f208,plain,
    ( sk_c7 = multiply(sk_c3,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f203,f91]) ).

fof(f216,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f205]) ).

fof(f205,plain,
    ( identity = multiply(sk_c3,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f203,f94]) ).

fof(f210,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f203]) ).

fof(f212,plain,
    ( sk_c7 = multiply(sk_c3,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f209,f122]) ).

fof(f209,plain,
    ( sk_c7 = multiply(sk_c3,multiply(sk_c7,sk_c6))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f203,f93]) ).

fof(f203,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f200,f71]) ).

fof(f200,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = multiply(sk_c3,multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f89]) ).

fof(f202,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f199,f122]) ).

fof(f199,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c7,multiply(sk_c7,sk_c6))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f93]) ).

fof(f198,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f91]) ).

fof(f196,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f60]) ).

fof(f195,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f89,f94]) ).

fof(f89,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f71]) ).

fof(f116,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != sk_c6
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f80,f81]) ).

fof(f134,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c8,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f131,f3]) ).

fof(f131,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c8),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f124]) ).

fof(f133,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f132,f122]) ).

fof(f132,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c7,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f130,f93]) ).

fof(f130,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c7,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f124]) ).

fof(f124,plain,
    ( sk_c7 = multiply(sk_c8,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f91]) ).

fof(f127,plain,
    ( sk_c7 = multiply(sk_c8,multiply(sk_c7,sk_c8))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f102,f122]) ).

fof(f121,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,multiply(sk_c2,X0))) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f1]) ).

fof(f120,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c2,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f118,f3]) ).

fof(f118,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c2),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f105]) ).

fof(f119,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c7,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f94]) ).

fof(f117,plain,
    ( multiply(sk_c2,identity) = multiply(sk_c7,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f105]) ).

fof(f105,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c2))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f94]) ).

fof(f115,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c6,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f113,f3]) ).

fof(f113,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c6),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f102]) ).

fof(f114,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c7,multiply(sk_c7,sk_c6))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f112,f93]) ).

fof(f112,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c7,multiply(sk_c7,sk_c6))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f102]) ).

fof(f111,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c7,multiply(sk_c3,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f110,f3]) ).

fof(f110,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(multiply(sk_c7,sk_c2),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f109]) ).

fof(f108,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f107,f1]) ).

fof(f107,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sk_c2,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f106,f3]) ).

fof(f106,plain,
    ( ! [X0] : multiply(sk_c2,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c2),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f94]) ).

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

fof(f98,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f92,f52]) ).

fof(f92,plain,
    ( multiply(sk_c2,sk_c8) = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f74]) ).

fof(f96,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f71,f60]) ).

fof(f80,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != sk_c6
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,sk_c8)
        | sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(inner_rewriting,[],[f79]) ).

fof(f79,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != sk_c6
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c6,sk_c8)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f78,f74]) ).

fof(f78,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != inverse(X4)
        | sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c6,sk_c8)
        | sk_c7 != multiply(inverse(X6),sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c7 != multiply(X4,sk_c8)
        | sk_c7 != multiply(X6,inverse(X6))
        | sk_c8 != multiply(X5,sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f37,f53]) ).

fof(f77,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f74]) ).

fof(f472,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f471]) ).

fof(f471,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f470,f357]) ).

fof(f470,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f469,f419]) ).

fof(f469,plain,
    ( identity != multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f468,f313]) ).

fof(f468,plain,
    ( identity != multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f467,f48]) ).

fof(f467,plain,
    ( identity != multiply(sk_c3,inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f454,f357]) ).

fof(f454,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | identity != multiply(sk_c3,inverse(sk_c3))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f395,f48]) ).

fof(f466,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f465]) ).

fof(f465,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f464,f357]) ).

fof(f464,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f463,f419]) ).

fof(f463,plain,
    ( identity != multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f462,f45]) ).

fof(f462,plain,
    ( identity != multiply(sk_c2,inverse(sk_c2))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f453,f357]) ).

fof(f453,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | identity != multiply(sk_c2,inverse(sk_c2))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f395,f45]) ).

fof(f461,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f460]) ).

fof(f460,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f459,f357]) ).

fof(f459,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f458,f423]) ).

fof(f458,plain,
    ( identity != multiply(sk_c8,inverse(sk_c8))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f452,f357]) ).

fof(f452,plain,
    ( identity != multiply(sk_c8,sk_c8)
    | identity != multiply(sk_c8,inverse(sk_c8))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f395,f423]) ).

fof(f312,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | spl0_1
    | spl0_6 ),
    inference(subsumption_resolution,[],[f310,f181]) ).

fof(f182,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | spl0_5
    | ~ spl0_6
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f116,f43,f39,f179,f176,f176,f173,f170]) ).

fof(f176,plain,
    ( spl0_5
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f46,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f43,f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34  % CPULimit   : 300
% 0.19/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Tue Apr 30 04:19:20 EDT 2024
% 0.19/0.34  % CPUTime    : 
% 0.19/0.35  % (3592)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (3597)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)
% 0.19/0.36  % (3595)WARNING: value z3 for option sas not known
% 0.19/0.37  % (3593)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37  % (3594)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37  % (3596)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37  % (3595)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)
% 0.19/0.37  % (3598)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)
% 0.19/0.37  % (3599)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)
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [2]
% 0.19/0.38  TRYING [3]
% 0.19/0.38  TRYING [4]
% 0.19/0.40  TRYING [5]
% 0.19/0.41  TRYING [4]
% 0.19/0.43  % (3595)First to succeed.
% 0.19/0.44  TRYING [6]
% 0.19/0.45  % (3595)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46  % (3595)------------------------------
% 0.19/0.46  % (3595)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.46  % (3595)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (3595)Memory used [KB]: 1638
% 0.19/0.46  % (3595)Time elapsed: 0.080 s
% 0.19/0.46  % (3595)Instructions burned: 150 (million)
% 0.19/0.46  % (3595)------------------------------
% 0.19/0.46  % (3595)------------------------------
% 0.19/0.46  % (3592)Success in time 0.102 s
%------------------------------------------------------------------------------