%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:56:54 EDT 2024

% Result   : Unsatisfiable 1.41s 0.55s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f3913,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f149,f203,f206,f209,f212,f292,f296,f300,f319,f646,f648,f650,f652,f654,f657,f659,f775,f778,f783,f844,f879,f885,f896,f901,f1092,f1139,f1180,f1182,f1202,f1204,f1223,f1227,f1244,f1246,f1248,f1250,f1252,f1254,f1256,f1258,f1260,f1262,f1264,f1267,f1270,f1317,f1335,f2017,f2034,f2036,f2038,f2041,f2044,f2046,f2049,f2051,f2053,f2076,f2081,f2084,f2086,f2088,f2091,f2156,f2158,f2160,f2163,f2165,f2167,f2169,f2171,f2174,f2176,f2178,f2180,f2182,f2184,f2282,f2284,f2394,f3486,f3578,f3580,f3582,f3584,f3586,f3588,f3590,f3592,f3594,f3596,f3598,f3600,f3602,f3604,f3606,f3608,f3610,f3613,f3616,f3618,f3620,f3622,f3624,f3626,f3628,f3630,f3632,f3634,f3636,f3638,f3640,f3642,f3644,f3647,f3649,f3651,f3653,f3655,f3657,f3661,f3664,f3770,f3772,f3789,f3842,f3844,f3846,f3848,f3850,f3852,f3854,f3856,f3858,f3860,f3862,f3864,f3866,f3868,f3870,f3872,f3874,f3876,f3878,f3880,f3882,f3884,f3886,f3888,f3890,f3892,f3894,f3896,f3898,f3900,f3902,f3904,f3906,f3908,f3910,f3912]) ).

fof(f3912,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3911]) ).

fof(f3911,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f22,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33,f31,f8,f6,f5,f10,f30,f842]) ).

fof(f842,plain,
    ( sk_c8 != sk_c7
    | spl0_11 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f841,plain,
    ( spl0_11
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

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

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

fof(f31,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f33,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

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

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

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f19,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f21,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f16,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

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

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

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

fof(f188,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f168,f66]) ).

fof(f3840,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f225,f550]) ).

fof(f69,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f48]) ).

fof(f120,plain,
    ( sk_c8 = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f118,f72]) ).

fof(f191,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f168,f125]) ).

fof(f190,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f168,f45]) ).

fof(f38,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f43,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f964,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f605,f43]) ).

fof(f3792,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f2294,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != sk_c6
      | identity != sk_c8
      | sk_c7 != inverse(X7)
      | identity != inverse(X3)
      | identity != inverse(X6)
      | sk_c7 != multiply(X7,sk_c7)
      | sk_c7 != multiply(X3,identity)
      | identity != multiply(X6,sk_c7)
      | identity != multiply(inverse(X4),sk_c7) ),
    inference(inner_rewriting,[],[f2293]) ).

fof(f28,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f26,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f24,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f2293,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != sk_c6
      | identity != sk_c8
      | sk_c7 != inverse(X7)
      | identity != inverse(X3)
      | identity != inverse(X6)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(X3,identity)
      | identity != multiply(X6,sk_c7)
      | identity != multiply(inverse(X4),sk_c7) ),
    inference(duplicate_literal_removal,[],[f2292]) ).

fof(f2292,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != sk_c6
      | sk_c7 != sk_c6
      | identity != sk_c8
      | sk_c7 != inverse(X7)
      | identity != inverse(X3)
      | identity != inverse(X6)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(X3,identity)
      | identity != multiply(X6,sk_c7)
      | identity != multiply(inverse(X4),sk_c7) ),
    inference(forward_demodulation,[],[f2291,f1]) ).

fof(f2291,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != sk_c6
      | identity != sk_c8
      | sk_c7 != inverse(X7)
      | identity != inverse(X3)
      | identity != inverse(X6)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(X3,identity)
      | identity != multiply(X6,sk_c7)
      | identity != multiply(inverse(X4),sk_c7)
      | sk_c6 != multiply(identity,sk_c7) ),
    inference(forward_demodulation,[],[f2290,f577]) ).

fof(f2290,plain,
    ! [X3,X6,X7,X4] :
      ( identity != sk_c8
      | sk_c7 != inverse(X7)
      | identity != inverse(X3)
      | identity != inverse(X6)
      | sk_c6 != multiply(sk_c7,identity)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(X3,identity)
      | identity != multiply(X6,sk_c7)
      | identity != multiply(inverse(X4),sk_c7)
      | sk_c6 != multiply(identity,sk_c7) ),
    inference(inner_rewriting,[],[f2149]) ).

fof(f2149,plain,
    ! [X3,X6,X7,X4] :
      ( identity != sk_c8
      | sk_c7 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(inverse(X4),sk_c7)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    inference(forward_demodulation,[],[f35,f576]) ).

fof(f7,axiom,
    ( sk_c7 = inverse(sk_c5)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f1985,plain,
    ! [X0,X1] : multiply(X1,X0) = inverse(multiply(inverse(X0),inverse(X1))),
    inference(superposition,[],[f1703,f1860]) ).

fof(f1983,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)),
    inference(superposition,[],[f3,f1860]) ).

fof(f1979,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1653,f1860]) ).

fof(f1973,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,inverse(X2)))),multiply(X0,X1)) = X2,
    inference(superposition,[],[f1860,f3]) ).

fof(f1860,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1816,f605]) ).

fof(f1816,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1589,f1585]) ).

fof(f1913,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1703,f1657]) ).

fof(f1911,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1657]) ).

fof(f1907,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1653,f1657]) ).

fof(f1894,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1657,f578]) ).

fof(f1893,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1657,f61]) ).

fof(f1884,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1657,f3]) ).

fof(f1657,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1608,f605]) ).

fof(f1608,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1585,f1585]) ).

fof(f1836,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1589]) ).

fof(f1835,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f578,f1589]) ).

fof(f1833,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1589]) ).

fof(f1832,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f61,f1589]) ).

fof(f1831,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f1045,f1589]) ).

fof(f1830,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1585,f1589]) ).

fof(f1821,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1589,f3]) ).

fof(f1817,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1589,f1589]) ).

fof(f1589,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1524,f577]) ).

fof(f1524,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f578,f1045]) ).

fof(f1775,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1703]) ).

fof(f1774,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f61,f1703]) ).

fof(f1773,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f1045,f1703]) ).

fof(f1772,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1585,f1703]) ).

fof(f1769,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1703,f3]) ).

fof(f1703,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1653,f605]) ).

fof(f1712,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1653]) ).

fof(f1711,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f61,f1653]) ).

fof(f1710,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f1045,f1653]) ).

fof(f1709,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1585,f1653]) ).

fof(f1693,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1653,f578]) ).

fof(f1683,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1653,f3]) ).

fof(f1653,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1604,f605]) ).

fof(f1604,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1585,f61]) ).

fof(f1626,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1585]) ).

fof(f1625,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f578,f1585]) ).

fof(f1623,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1585]) ).

fof(f1622,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f61,f1585]) ).

fof(f1677,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1621,f605]) ).

fof(f1621,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f1045,f1585]) ).

fof(f1615,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1585,f3]) ).

fof(f1605,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1585,f578]) ).

fof(f1595,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1585,f3]) ).

fof(f1585,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1521,f577]) ).

fof(f1521,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f61,f1045]) ).

fof(f1590,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1525,f3]) ).

fof(f1525,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f1045]) ).

fof(f1587,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1586,f3]) ).

fof(f1586,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1522,f1]) ).

fof(f1522,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f1045]) ).

fof(f1567,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1511,f3]) ).

fof(f1511,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f1045,f3]) ).

fof(f1503,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f1045,f3]) ).

fof(f1484,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f1045,f3]) ).

fof(f1045,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f576,f3]) ).

fof(f1445,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f578]) ).

fof(f1438,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f578,f3]) ).

fof(f578,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f438,f61]) ).

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

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f1056,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f576]) ).

fof(f1066,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f1054,f1]) ).

fof(f1054,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f576]) ).

fof(f576,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f438,f2]) ).

fof(f971,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f605]) ).

fof(f970,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f605]) ).

fof(f605,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f577,f430]) ).

fof(f434,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f64]) ).

fof(f447,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f61,f45]) ).

fof(f534,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f430,f43]) ).

fof(f549,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f535,f43]) ).

fof(f574,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f438,f43]) ).

fof(f633,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f622,f577]) ).

fof(f622,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f438,f577]) ).

fof(f612,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f430,f577]) ).

fof(f628,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f609,f577]) ).

fof(f609,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f577,f438]) ).

fof(f577,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f438,f430]) ).

fof(f584,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f61,f438]) ).

fof(f583,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f430,f438]) ).

fof(f581,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f61,f438]) ).

fof(f580,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f438]) ).

fof(f438,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f61,f61]) ).

fof(f550,plain,
    identity = inverse(identity),
    inference(superposition,[],[f535,f430]) ).

fof(f553,plain,
    identity = inverse(identity),
    inference(superposition,[],[f430,f535]) ).

fof(f562,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f552,f1]) ).

fof(f552,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f535]) ).

fof(f551,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f61,f535]) ).

fof(f535,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f61,f430]) ).

fof(f545,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f536,f1]) ).

fof(f536,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f430]) ).

fof(f430,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f61,f2]) ).

fof(f432,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f61,f3]) ).

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

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

fof(f27,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f25,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f35,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X6)
      | sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != multiply(inverse(X4),sk_c7)
      | sk_c8 != multiply(X4,inverse(X4))
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    inference(equality_resolution,[],[f34]) ).

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

fof(f225,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f190]) ).

fof(f248,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f239,f120]) ).

fof(f239,plain,
    ( sk_c3 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f46,f191]) ).

fof(f204,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f189,f69]) ).

fof(f189,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f168,f48]) ).

fof(f197,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f66,f168]) ).

fof(f210,plain,
    ( sk_c8 = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f198,f69]) ).

fof(f198,plain,
    ( sk_c7 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f168]) ).

fof(f200,plain,
    ( identity = sk_c2
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f125,f168]) ).

fof(f199,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f168]) ).

fof(f196,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f91,f168]) ).

fof(f207,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f195,f168]) ).

fof(f195,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f100,f168]) ).

fof(f194,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f168]) ).

fof(f192,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f168]) ).

fof(f187,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f168,f91]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f186,f168]) ).

fof(f186,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f168,f100]) ).

fof(f185,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f168,f64]) ).

fof(f168,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f167,f1]) ).

fof(f167,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f164]) ).

fof(f184,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f180,f120]) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f165]) ).

fof(f165,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f163,f1]) ).

fof(f163,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f161]) ).

fof(f175,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f172,f55]) ).

fof(f172,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f100]) ).

fof(f100,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f56,f69]) ).

fof(f166,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f164]) ).

fof(f164,plain,
    ( identity = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f162,f120]) ).

fof(f162,plain,
    ( identity = multiply(sk_c3,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f161]) ).

fof(f161,plain,
    ( identity = multiply(sk_c2,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f110,f125]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f152]) ).

fof(f152,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f150,f49]) ).

fof(f150,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f55,f113]) ).

fof(f156,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f154,f1]) ).

fof(f154,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f125]) ).

fof(f155,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c7,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f153,f79]) ).

fof(f153,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f125]) ).

fof(f125,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f47,f120]) ).

fof(f151,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f113]) ).

fof(f113,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f108,f50]) ).

fof(f108,plain,
    ( multiply(sk_c2,sk_c3) = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f60,f72]) ).

fof(f89,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != multiply(X7,sk_c8)
        | sk_c8 != multiply(sk_c7,sk_c8)
        | sk_c7 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f88,f69]) ).

fof(f88,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c8 != multiply(sk_c7,sk_c8)
        | sk_c7 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f87,f69]) ).

fof(f87,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f35,f48]) ).

fof(f132,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f118,f120]) ).

fof(f131,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f120]) ).

fof(f130,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f120]) ).

fof(f129,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f120]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f57,f120]) ).

fof(f123,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f118]) ).

fof(f124,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f122,f115]) ).

fof(f122,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f118]) ).

fof(f121,plain,
    ( sk_c8 = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f72,f118]) ).

fof(f118,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f115]) ).

fof(f119,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f115]) ).

fof(f115,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f114,f69]) ).

fof(f114,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(forward_demodulation,[],[f109,f48]) ).

fof(f109,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f60,f51]) ).

fof(f111,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f65,f60]) ).

fof(f110,plain,
    ( multiply(sk_c8,sk_c2) = multiply(sk_c2,identity)
    | spl0_1 ),
    inference(superposition,[],[f60,f47]) ).

fof(f107,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c2,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f60,f57]) ).

fof(f106,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f60,f65]) ).

fof(f60,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f50]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f51]) ).

fof(f99,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,multiply(sk_c1,X0))) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f98,f1]) ).

fof(f98,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,multiply(sk_c1,X0)))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f96,f3]) ).

fof(f96,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(multiply(sk_c7,sk_c1),X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f91]) ).

fof(f97,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c7,multiply(sk_c7,sk_c1))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f95,f79]) ).

fof(f95,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c7,multiply(sk_c7,sk_c1))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f91]) ).

fof(f91,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c1))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f79]) ).

fof(f94,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f93,f1]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = multiply(sk_c1,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f92,f3]) ).

fof(f92,plain,
    ( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(multiply(sk_c7,sk_c1),X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f79]) ).

fof(f79,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f45]) ).

fof(f90,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f84]) ).

fof(f84,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f83,f49]) ).

fof(f83,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f78,f69]) ).

fof(f78,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c6)
    | spl0_1 ),
    inference(superposition,[],[f55,f48]) ).

fof(f80,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f55]) ).

fof(f82,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f77,f49]) ).

fof(f77,plain,
    ( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f66]) ).

fof(f76,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f55,f64]) ).

fof(f55,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f75,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f72]) ).

fof(f72,plain,
    ( sk_c3 = multiply(sk_c3,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f65,f50]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f71,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f66]) ).

fof(f70,plain,
    ( sk_c8 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f66]) ).

fof(f66,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f49]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f56,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

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(f51,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f30,f38]) ).

fof(f50,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f38]) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f38]) ).

fof(f48,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_1 ),
    inference(subsumption_resolution,[],[f5,f38]) ).

fof(f47,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c3 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f25,f38]) ).

fof(f45,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

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

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

fof(f3910,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3909]) ).

fof(f3909,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f22,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33,f31,f8,f6,f5,f10,f30]) ).

fof(f3908,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3907]) ).

fof(f3907,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33,f31,f8,f6,f5,f10]) ).

fof(f3906,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3905]) ).

fof(f3905,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33,f31,f8,f6,f5]) ).

fof(f3904,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3903]) ).

fof(f3903,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33,f31,f8,f6]) ).

fof(f3902,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3901]) ).

fof(f3901,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33,f31,f8]) ).

fof(f3900,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3899]) ).

fof(f3899,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33,f31]) ).

fof(f3898,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3897]) ).

fof(f3897,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29,f33]) ).

fof(f3896,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3895]) ).

fof(f3895,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4,f29]) ).

fof(f3894,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3893]) ).

fof(f3893,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23,f4]) ).

fof(f3892,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3891]) ).

fof(f3891,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19,f23]) ).

fof(f3890,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3889]) ).

fof(f3889,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21,f19]) ).

fof(f3888,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3887]) ).

fof(f3887,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18,f21]) ).

fof(f3886,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3885]) ).

fof(f3885,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16,f18]) ).

fof(f3884,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3883]) ).

fof(f3883,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14,f16]) ).

fof(f3882,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3881]) ).

fof(f3881,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11,f14]) ).

fof(f3880,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3879]) ).

fof(f3879,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13,f11]) ).

fof(f3878,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3877]) ).

fof(f3877,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9,f13]) ).

fof(f3876,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3875]) ).

fof(f3875,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188,f9]) ).

fof(f3874,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3873]) ).

fof(f3873,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f144,f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188]) ).

fof(f144,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl0_6
  <=> sk_c8 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3872,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3871]) ).

fof(f3871,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_11 ),
    inference(global_subsumption,[],[f138,f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188]) ).

fof(f138,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl0_4
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3870,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3869]) ).

fof(f3869,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f340,f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188]) ).

fof(f340,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f306,f45]) ).

fof(f306,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f144]) ).

fof(f3868,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3867]) ).

fof(f3867,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(global_subsumption,[],[f336,f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188]) ).

fof(f336,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f306,f64]) ).

fof(f3866,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3865]) ).

fof(f3865,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840,f188]) ).

fof(f3864,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3863]) ).

fof(f3863,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f38,f190,f191,f120,f69,f3840]) ).

fof(f3862,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3861]) ).

fof(f3861,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f3840,f38,f190,f191,f120,f69]) ).

fof(f3860,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3859]) ).

fof(f3859,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f3840,f69,f38,f190,f191,f120]) ).

fof(f3858,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3857]) ).

fof(f3857,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f3840,f69,f120,f38,f190,f191]) ).

fof(f3856,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3855]) ).

fof(f3855,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f3840,f69,f120,f191,f38,f190]) ).

fof(f3854,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3853]) ).

fof(f3853,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f842,f20,f3792,f964,f43,f3840,f69,f120,f191,f190,f38]) ).

fof(f3852,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3851]) ).

fof(f3851,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f838,f1215,f853,f843,f3782,f3790,f3791,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3805,f3807,f3808,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3822,f3823,f3824,f3825,f3826,f3828,f3829,f3831,f3832,f3834,f3835,f964,f43,f3840,f69,f120,f191,f190,f38]) ).

fof(f3835,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3793,f3795,f3798,f3801,f3804,f3807,f3810,f3814,f3815,f3817,f3819,f3821,f3823,f3825,f3828,f3831,f3834]) ).

fof(f3834,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3833,f843]) ).

fof(f3833,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f9,f843]) ).

fof(f3832,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3807,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3823,f3825,f3828,f3829,f3831]) ).

fof(f3831,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3830,f843]) ).

fof(f3830,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f13,f843]) ).

fof(f3829,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3807,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3823,f3825,f3828]) ).

fof(f3828,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3827,f843]) ).

fof(f3827,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f11,f843]) ).

fof(f3826,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3825,f1,f2,f15,f45,f3,f64,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f43,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20]) ).

fof(f3825,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f14,f843]) ).

fof(f3824,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3823,f1,f2,f15,f45,f3,f64,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f43,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20]) ).

fof(f3823,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f16,f843]) ).

fof(f3822,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3821,f1,f2,f15,f45,f3,f64,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f43,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20]) ).

fof(f3821,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f18,f843]) ).

fof(f3820,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3819,f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20,f3792]) ).

fof(f3819,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f21,f843]) ).

fof(f3818,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3817,f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20,f3792]) ).

fof(f3817,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f19,f843]) ).

fof(f3816,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3815,f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20,f3792]) ).

fof(f3815,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f23,f843]) ).

fof(f3814,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f3813]) ).

fof(f3813,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3812,f843]) ).

fof(f3812,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4,f843]) ).

fof(f3811,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3807,f3810]) ).

fof(f3810,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3809,f843]) ).

fof(f3809,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f29,f843]) ).

fof(f3808,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3807,f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f69,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f120,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f190,f191,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f43,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20,f3792]) ).

fof(f3807,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3806,f843]) ).

fof(f3806,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f33,f843]) ).

fof(f3805,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3804,f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f69,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f120,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f190,f191,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f43,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f20,f3792]) ).

fof(f3804,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3803,f843]) ).

fof(f3803,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f31,f843]) ).

fof(f3802,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801]) ).

fof(f3801,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3800,f843]) ).

fof(f3800,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f8,f843]) ).

fof(f3799,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3792,f3793,f3794,f3795,f3796,f3798]) ).

fof(f3798,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3797,f843]) ).

fof(f3797,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f6,f843]) ).

fof(f3796,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3792,f3793,f3794,f3795]) ).

fof(f3795,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f5,f843]) ).

fof(f3794,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | spl0_1
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f46,f47,f48,f49,f50,f51,f3,f56,f65,f72,f75,f55,f57,f60,f106,f107,f110,f111,f113,f151,f152,f159,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f843,f3790,f20,f3792,f3793]) ).

fof(f3793,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f10,f843]) ).

fof(f3791,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3790,f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f69,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f120,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f190,f191,f248,f225,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f43,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6]) ).

fof(f3790,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f30,f843]) ).

fof(f3782,plain,
    ( identity != sk_c8
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f838,f843]) ).

fof(f843,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f853,plain,
    ( identity != sk_c8
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f838,f843]) ).

fof(f1215,plain,
    ( identity != sk_c8
    | spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f838,f843]) ).

fof(f838,plain,
    ( identity != sk_c7
    | spl0_10 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f837,plain,
    ( spl0_10
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3850,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3849]) ).

fof(f3849,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f838,f1215,f853,f843,f3782,f3790,f3791,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3805,f3807,f3808,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3822,f3823,f3824,f3825,f3826,f3828,f3829,f3831,f3832,f3834,f3835,f964,f43,f3840,f69,f120,f191,f190]) ).

fof(f3848,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3847]) ).

fof(f3847,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f190,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f838,f1215,f853,f843,f3782,f3790,f3791,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3805,f3807,f3808,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3822,f3823,f3824,f3825,f3826,f3828,f3829,f3831,f3832,f3834,f3835,f964,f43,f3840,f69,f120,f191]) ).

fof(f3846,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3845]) ).

fof(f3845,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f190,f191,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f838,f1215,f853,f843,f3782,f3790,f3791,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3805,f3807,f3808,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3822,f3823,f3824,f3825,f3826,f3828,f3829,f3831,f3832,f3834,f3835,f964,f43,f3840,f69,f120]) ).

fof(f3844,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3843]) ).

fof(f3843,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f120,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f190,f191,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f838,f1215,f853,f843,f3782,f3790,f3791,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3805,f3807,f3808,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3822,f3823,f3824,f3825,f3826,f3828,f3829,f3831,f3832,f3834,f3835,f964,f43,f3840,f69]) ).

fof(f3842,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3841]) ).

fof(f3841,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f38,f45,f46,f47,f48,f49,f50,f51,f3,f56,f64,f66,f70,f71,f69,f65,f72,f75,f55,f76,f82,f80,f84,f90,f79,f94,f91,f97,f99,f57,f60,f106,f107,f110,f111,f115,f119,f118,f121,f124,f123,f120,f128,f129,f130,f131,f132,f89,f113,f151,f125,f155,f156,f152,f159,f161,f164,f166,f100,f175,f165,f184,f168,f185,f201,f187,f192,f194,f207,f196,f199,f200,f210,f197,f204,f188,f190,f191,f248,f225,f35,f30,f22,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f549,f534,f447,f434,f605,f970,f971,f576,f1066,f1056,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f16,f18,f24,f26,f28,f21,f19,f23,f4,f29,f2294,f33,f31,f8,f6,f838,f1215,f853,f843,f3782,f3790,f3791,f20,f3792,f3793,f3794,f3795,f3796,f3798,f3799,f3801,f3802,f3804,f3805,f3807,f3808,f3810,f3811,f3814,f3815,f3816,f3817,f3818,f3819,f3820,f3821,f3822,f3823,f3824,f3825,f3826,f3828,f3829,f3831,f3832,f3834,f3835,f964,f43,f3840]) ).

fof(f3789,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3788]) ).

fof(f3788,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f572,f547,f532,f435,f444,f683,f684,f686,f682,f692,f605,f970,f971,f576,f1066,f1056,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f13,f11,f14,f3668,f16,f3669,f18,f3670,f1704,f1759,f1801,f1689,f1959,f1826,f1890,f1618,f1960,f1802,f1758,f1705,f699,f691,f1424,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23,f3676,f4,f3677,f29,f3678,f2294,f33,f3679,f31,f3680,f8,f3681,f6,f3682,f838,f42,f3665,f3717,f3718,f3714,f3716,f3666,f3722,f3726,f3667,f3732,f3743,f3744,f3745,f3738,f1215,f853,f843,f3782,f3784,f3787]) ).

fof(f3787,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3785,f692]) ).

fof(f3785,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f3667,f843]) ).

fof(f3784,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | spl0_2
    | ~ spl0_11 ),
    inference(superposition,[],[f3665,f843]) ).

fof(f3738,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f3667]) ).

fof(f3745,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f3737,f39]) ).

fof(f3737,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c8)
    | spl0_2 ),
    inference(superposition,[],[f61,f3667]) ).

fof(f3744,plain,
    ( identity = multiply(sk_c4,multiply(sk_c7,sk_c4))
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f3736,f682]) ).

fof(f3736,plain,
    ( identity = multiply(sk_c4,multiply(sk_c7,inverse(sk_c8)))
    | spl0_2 ),
    inference(superposition,[],[f1045,f3667]) ).

fof(f3743,plain,
    ( sk_c8 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f3742,f39]) ).

fof(f3742,plain,
    ( inverse(sk_c4) = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f3735,f682]) ).

fof(f3735,plain,
    ( inverse(sk_c4) = multiply(sk_c7,inverse(sk_c8))
    | spl0_2 ),
    inference(superposition,[],[f1585,f3667]) ).

fof(f3732,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f308,f3667]) ).

fof(f3667,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f14,f16,f12,f17,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11]) ).

fof(f3726,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f3666]) ).

fof(f3722,plain,
    ( sk_c5 = multiply(sk_c7,inverse(sk_c6))
    | spl0_2 ),
    inference(superposition,[],[f1653,f3666]) ).

fof(f3666,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f14,f16,f11,f12,f17,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13]) ).

fof(f3716,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f3665]) ).

fof(f3714,plain,
    ( identity = multiply(sk_c7,multiply(sk_c8,inverse(sk_c6)))
    | spl0_2 ),
    inference(superposition,[],[f1045,f3665]) ).

fof(f3718,plain,
    ( sk_c7 = multiply(sk_c6,sk_c4)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f3712,f682]) ).

fof(f3712,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c8))
    | spl0_2 ),
    inference(superposition,[],[f1653,f3665]) ).

fof(f3717,plain,
    ( sk_c4 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f3711,f682]) ).

fof(f3711,plain,
    ( inverse(sk_c8) = multiply(inverse(sk_c6),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f1657,f3665]) ).

fof(f3665,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f14,f16,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9]) ).

fof(f42,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f3682,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23,f3676,f4,f3677,f29,f3678,f2294,f33,f3679,f31,f3680,f8,f3681,f6]) ).

fof(f3681,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f6,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23,f3676,f4,f3677,f29,f3678,f2294,f33,f3679,f31,f3680,f8]) ).

fof(f3680,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f2149,f2293,f6,f8,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23,f3676,f4,f3677,f29,f3678,f2294,f33,f3679,f31]) ).

fof(f3679,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f6,f8,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23,f3676,f4,f3677,f29,f3678,f2294,f33]) ).

fof(f3678,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f6,f8,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23,f3676,f4,f3677,f29]) ).

fof(f3677,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23,f3676,f4]) ).

fof(f3676,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19,f3675,f23]) ).

fof(f3675,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f23,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21,f3674,f19]) ).

fof(f3674,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28,f3673,f21]) ).

fof(f3673,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26,f3672,f28]) ).

fof(f3672,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24,f3671,f26]) ).

fof(f3671,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18,f3670,f24]) ).

fof(f1424,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f578,f39]) ).

fof(f691,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f682]) ).

fof(f699,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f697,f1]) ).

fof(f697,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f692]) ).

fof(f1705,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1653,f39]) ).

fof(f1758,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c8) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1703,f682]) ).

fof(f1802,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1589,f39]) ).

fof(f1960,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1860,f39]) ).

fof(f1618,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f308,f1585]) ).

fof(f1890,plain,
    ( ! [X0] : multiply(inverse(X0),sk_c8) = inverse(multiply(sk_c4,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1657,f308]) ).

fof(f1826,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c4))
    | ~ spl0_1 ),
    inference(superposition,[],[f308,f1589]) ).

fof(f1959,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c4)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1860,f682]) ).

fof(f1689,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1653,f308]) ).

fof(f1801,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1589,f682]) ).

fof(f1759,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1703,f39]) ).

fof(f1704,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c4) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1653,f682]) ).

fof(f3670,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16,f3669,f18]) ).

fof(f3669,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f12,f17,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14,f3668,f16]) ).

fof(f3668,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f42,f1147,f1144,f1142,f1191,f1190,f1229,f1238,f1265,f1268,f16,f12,f17,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f9,f3665,f13,f3666,f11,f3667,f14]) ).

fof(f1268,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f14,f42]) ).

fof(f1265,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f16,f42]) ).

fof(f1238,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32]) ).

fof(f1229,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f17,f42]) ).

fof(f1190,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f61,f1142]) ).

fof(f1191,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f1142]) ).

fof(f1142,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f13,f9,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f42,f14,f16,f18]) ).

fof(f1144,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f42,f14,f16,f18,f1142,f9,f13]) ).

fof(f1147,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f42,f14,f16,f18,f1142,f9,f13,f1144,f11,f4,f8]) ).

fof(f692,plain,
    ( identity = multiply(sk_c4,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f682]) ).

fof(f682,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f444,f577]) ).

fof(f686,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f685,f1]) ).

fof(f685,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f444]) ).

fof(f684,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f444]) ).

fof(f683,plain,
    ( sk_c4 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f577,f444]) ).

fof(f444,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f305]) ).

fof(f435,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f61,f308]) ).

fof(f532,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f430,f39]) ).

fof(f547,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f535,f39]) ).

fof(f572,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f438,f39]) ).

fof(f308,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f307,f1]) ).

fof(f307,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f305]) ).

fof(f305,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f3772,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3771]) ).

fof(f3771,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3762,f842]) ).

fof(f3762,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3666,f3720]) ).

fof(f3720,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3715,f700]) ).

fof(f700,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f445,f577]) ).

fof(f445,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f320]) ).

fof(f320,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f314]) ).

fof(f314,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f312,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f3715,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | spl0_2 ),
    inference(superposition,[],[f61,f3665]) ).

fof(f3770,plain,
    ( spl0_2
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3769]) ).

fof(f3769,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3761,f842]) ).

fof(f3761,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3720,f3666]) ).

fof(f3664,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3663]) ).

fof(f3663,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3662,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f317,plain,
    ( sk_c3 != inverse(sk_c2)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl0_9
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2262,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2253,f1]) ).

fof(f2253,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f2185]) ).

fof(f2185,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f314]) ).

fof(f2209,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c5)),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f1860,f700]) ).

fof(f2208,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1703,f700]) ).

fof(f2207,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1653,f700]) ).

fof(f2206,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_8 ),
    inference(superposition,[],[f1589,f700]) ).

fof(f2204,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f578,f700]) ).

fof(f2203,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f576,f700]) ).

fof(f2211,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2202,f605]) ).

fof(f2202,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f535,f700]) ).

fof(f2199,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f700]) ).

fof(f2198,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f700]) ).

fof(f2196,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f1860,f314]) ).

fof(f2195,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1703,f314]) ).

fof(f2194,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f1653,f314]) ).

fof(f2193,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_8 ),
    inference(superposition,[],[f1589,f314]) ).

fof(f2192,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f605,f314]) ).

fof(f2191,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f578,f314]) ).

fof(f2190,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f576,f314]) ).

fof(f2197,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2189,f605]) ).

fof(f2189,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f535,f314]) ).

fof(f2188,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f438,f314]) ).

fof(f2187,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f430,f314]) ).

fof(f2186,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f314]) ).

fof(f2139,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f314,f320,f322,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f445,f701,f702,f704,f700,f710,f19,f23,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f4,f6,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f33,f29,f8,f32,f2138,f7]) ).

fof(f2138,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f314,f320,f322,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f445,f701,f702,f704,f700,f710,f19,f23,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f4,f6,f12,f7,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f33,f29,f8,f32]) ).

fof(f709,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f700]) ).

fof(f717,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f715,f1]) ).

fof(f715,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f710]) ).

fof(f771,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f710,f756]) ).

fof(f765,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f322,f756]) ).

fof(f764,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f320,f756]) ).

fof(f756,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f755,f331]) ).

fof(f760,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f755]) ).

fof(f757,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f331,f755]) ).

fof(f755,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f674,f700]) ).

fof(f710,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f700]) ).

fof(f704,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f703,f1]) ).

fof(f703,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f445]) ).

fof(f702,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f445]) ).

fof(f701,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f577,f445]) ).

fof(f681,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f679]) ).

fof(f680,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f61,f679]) ).

fof(f679,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f677,f314]) ).

fof(f677,plain,
    ( sk_c6 = multiply(inverse(sk_c5),sk_c7)
    | spl0_9 ),
    inference(superposition,[],[f61,f331]) ).

fof(f678,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f331]) ).

fof(f676,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f322,f331]) ).

fof(f331,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f28,f317]) ).

fof(f675,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f325]) ).

fof(f674,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | spl0_9 ),
    inference(superposition,[],[f61,f325]) ).

fof(f325,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f24,f317]) ).

fof(f672,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f21,f11,f6,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33,f665,f29,f666,f23,f667,f19,f668,f13,f669,f9,f670,f8,f671,f329,f4]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f327]) ).

fof(f671,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f21,f11,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f329,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33,f665,f29,f666,f23,f667,f19,f668,f13,f669,f9,f670,f8]) ).

fof(f670,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f21,f11,f8,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f329,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33,f665,f29,f666,f23,f667,f19,f668,f13,f669,f9]) ).

fof(f669,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f21,f11,f9,f8,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f329,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33,f665,f29,f666,f23,f667,f19,f668,f13]) ).

fof(f668,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f21,f13,f11,f9,f8,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f329,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33,f665,f29,f666,f23,f667,f19]) ).

fof(f667,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f21,f19,f13,f11,f9,f8,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f329,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33,f665,f29,f666,f23]) ).

fof(f666,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f23,f21,f19,f13,f11,f9,f8,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f329,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33,f665,f29]) ).

fof(f665,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f29,f23,f21,f19,f13,f11,f9,f8,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f317,f327,f329,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f33]) ).

fof(f436,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f61,f322]) ).

fof(f533,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f430,f314]) ).

fof(f548,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c5)
    | ~ spl0_8 ),
    inference(superposition,[],[f535,f314]) ).

fof(f573,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f438,f314]) ).

fof(f327,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f26,f317]) ).

fof(f322,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f321,f1]) ).

fof(f321,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f320]) ).

fof(f3662,plain,
    ( identity != sk_c8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f842,f839]) ).

fof(f839,plain,
    ( identity = sk_c7
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f3661,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3660]) ).

fof(f3660,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f907,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f907,plain,
    ( identity != sk_c8
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f842,f839]) ).

fof(f3657,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3656]) ).

fof(f3656,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1704,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3655,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3654]) ).

fof(f3654,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1759,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3653,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3652]) ).

fof(f3652,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1801,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3651,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3650]) ).

fof(f3650,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1689,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3649,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3648]) ).

fof(f3648,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1959,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3647,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3646]) ).

fof(f3646,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3645,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3645,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | sk_c8 = sk_c4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2816,f839]) ).

fof(f2816,plain,
    ( sk_c8 = sk_c4
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2815,f577]) ).

fof(f2815,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f31,f839]) ).

fof(f3644,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3643]) ).

fof(f3643,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1826,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3642,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3641]) ).

fof(f3641,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1890,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3640,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3639]) ).

fof(f3639,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3494,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3494,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != sk_c8
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3493,f839]) ).

fof(f3493,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != sk_c8
        | identity != inverse(X3)
        | identity != inverse(X6)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3492,f839]) ).

fof(f3492,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != sk_c8
        | identity != inverse(X3)
        | identity != inverse(X6)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3491,f839]) ).

fof(f3491,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != sk_c8
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3490,f839]) ).

fof(f3490,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != inverse(X7)
        | identity != sk_c8
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3489,f839]) ).

fof(f3489,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c8
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f3488]) ).

fof(f3488,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c8
        | identity != sk_c8
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3487,f839]) ).

fof(f3487,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c8 != sk_c7
        | identity != sk_c8
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2294,f1115]) ).

fof(f1115,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f1114]) ).

fof(f1114,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1113,f577]) ).

fof(f1113,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c8 = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1112,f839]) ).

fof(f1112,plain,
    ( sk_c8 = sk_c6
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1111,f1]) ).

fof(f1111,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4,f839]) ).

fof(f3638,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3637]) ).

fof(f3637,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3499,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3499,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | identity = sk_c8
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3498,f839]) ).

fof(f3498,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3497,f839]) ).

fof(f3497,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3496,f1]) ).

fof(f3496,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2908,f897]) ).

fof(f897,plain,
    ( identity = sk_c5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f891,f2]) ).

fof(f891,plain,
    ( sk_c5 = multiply(inverse(identity),identity)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f445,f839]) ).

fof(f2908,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f33,f1115]) ).

fof(f3636,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3635]) ).

fof(f3635,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1618,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3634,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3633]) ).

fof(f3633,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1960,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3632,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3631]) ).

fof(f3631,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1802,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3630,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3629]) ).

fof(f3629,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1758,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3628,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3627]) ).

fof(f3627,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1705,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3626,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3625]) ).

fof(f3625,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f699,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3624,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3623]) ).

fof(f3623,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f691,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3622,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3621]) ).

fof(f3621,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f1424,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3620,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3619]) ).

fof(f3619,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3529,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3529,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3528,f839]) ).

fof(f3528,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3527,f1]) ).

fof(f3527,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3526,f897]) ).

fof(f3526,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f23,f1115]) ).

fof(f3618,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3617]) ).

fof(f3617,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3534,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3534,plain,
    ( sk_c8 = sk_c4
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3533,f577]) ).

fof(f3533,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f21,f839]) ).

fof(f3616,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3615]) ).

fof(f3615,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3614,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3614,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f3540,f317]) ).

fof(f3540,plain,
    ( identity = sk_c8
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3539,f839]) ).

fof(f3539,plain,
    ( sk_c8 = sk_c7
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3538,f1]) ).

fof(f3538,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3537,f897]) ).

fof(f3537,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f28,f1115]) ).

fof(f3613,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3612]) ).

fof(f3612,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3611,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3611,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f3542,f317]) ).

fof(f3542,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | sk_c3 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f26,f839]) ).

fof(f3610,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3609]) ).

fof(f3609,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3548,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3548,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f779,f897]) ).

fof(f779,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f768,f444]) ).

fof(f768,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f445,f756]) ).

fof(f3608,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3607]) ).

fof(f3607,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f361,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f361,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f355,f305]) ).

fof(f355,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f353,f1]) ).

fof(f353,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f350]) ).

fof(f350,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f339,f342]) ).

fof(f342,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f338,f333]) ).

fof(f333,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f322,f332]) ).

fof(f332,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f331,f326]) ).

fof(f326,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f325,f144]) ).

fof(f338,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f306,f328]) ).

fof(f328,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f308,f327]) ).

fof(f339,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f306,f305]) ).

fof(f3606,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3605]) ).

fof(f3605,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3553,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3553,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3552,f897]) ).

fof(f3552,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f770,f682]) ).

fof(f770,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f700,f756]) ).

fof(f3604,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3603]) ).

fof(f3603,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3559,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3559,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f784,f897]) ).

fof(f784,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f770,f682]) ).

fof(f3602,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3601]) ).

fof(f3601,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3558,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3558,plain,
    ( identity = sk_c8
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3557,f839]) ).

fof(f3557,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3556,f1]) ).

fof(f3556,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f332,f897]) ).

fof(f3600,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3599]) ).

fof(f3599,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f461,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f461,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f460,f2]) ).

fof(f460,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f439,f342]) ).

fof(f439,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f144]) ).

fof(f3598,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3597]) ).

fof(f3597,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3555,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3555,plain,
    ( identity = sk_c8
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3554,f1]) ).

fof(f3554,plain,
    ( sk_c8 = multiply(identity,identity)
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f333,f839]) ).

fof(f3596,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3595]) ).

fof(f3595,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3560,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3560,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f757,f839]) ).

fof(f3594,plain,
    ( ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3593]) ).

fof(f3593,plain,
    ( $false
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3561,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3561,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f756,f839]) ).

fof(f3592,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3591]) ).

fof(f3591,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f3574,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3574,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f362,f751]) ).

fof(f751,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f447,f444]) ).

fof(f362,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f355,f45]) ).

fof(f3590,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3589]) ).

fof(f3589,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f3575,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3575,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f751,f362]) ).

fof(f3588,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3587]) ).

fof(f3587,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f776,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f776,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f767,f692]) ).

fof(f767,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f327,f756]) ).

fof(f3586,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3585]) ).

fof(f3585,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(global_subsumption,[],[f3550,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3550,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f342,f839]) ).

fof(f3584,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3583]) ).

fof(f3583,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f3562,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3562,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f375,f550]) ).

fof(f375,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f39,f361]) ).

fof(f3582,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3581]) ).

fof(f3581,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f350,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3580,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3579]) ).

fof(f3579,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | spl0_11 ),
    inference(global_subsumption,[],[f355,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f320,f322,f327,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f573,f548,f533,f436,f665,f666,f667,f668,f669,f670,f671,f329,f672,f325,f674,f675,f331,f676,f678,f679,f680,f681,f445,f701,f702,f704,f710,f755,f757,f760,f756,f764,f765,f771,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f717,f709,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f32,f2138,f7,f2139,f842,f314,f2186,f2187,f2188,f2197,f2190,f2191,f2192,f2193,f2194,f2195,f2196,f700,f2198,f2199,f2211,f2203,f2204,f2206,f2207,f2208,f2209,f2185,f2262,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f317]) ).

fof(f3578,plain,
    ( spl0_12
    | spl0_12
    | spl0_12
    | spl0_13
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f3495,f841,f837,f2015,f2012,f2012,f2012]) ).

fof(f2012,plain,
    ( spl0_12
  <=> ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2015,plain,
    ( spl0_13
  <=> ! [X4] : identity != multiply(inverse(X4),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f3495,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f21,f28,f26,f24,f605,f970,f971,f576,f1066,f1056,f1109,f1120,f1128,f1132,f1135,f14,f16,f9,f11,f12,f17,f13,f18,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f843,f32,f7,f31,f2149,f2293,f2294,f4,f6,f8,f29,f33,f1136,f1129,f839,f1115,f2414,f3494]) ).

fof(f2414,plain,
    ( identity = sk_c8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f843,f839]) ).

fof(f1129,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f13,f9,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f839,f605,f970,f971,f576,f1045,f1066,f1056,f1109,f1115,f1120,f1128]) ).

fof(f1136,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f13,f9,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f839,f605,f970,f971,f576,f1045,f1066,f1056,f1109,f1115,f1120,f1128,f1129,f1132,f1135]) ).

fof(f1135,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1134,f1]) ).

fof(f1134,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f14,f839]) ).

fof(f1132,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | sk_c8 = inverse(sk_c1)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f16,f839]) ).

fof(f1128,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c8 = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1127,f839]) ).

fof(f1127,plain,
    ( sk_c8 = sk_c6
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1126,f1]) ).

fof(f1126,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f9,f839]) ).

fof(f1120,plain,
    ( sk_c8 = sk_c4
    | identity = multiply(sk_c1,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1119,f577]) ).

fof(f1119,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | identity = multiply(sk_c1,sk_c8)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1118,f839]) ).

fof(f1118,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f11,f839]) ).

fof(f1109,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = multiply(sk_c4,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1108,f577]) ).

fof(f1108,plain,
    ( sk_c6 = multiply(sk_c8,identity)
    | sk_c8 = multiply(sk_c4,identity)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1071,f839]) ).

fof(f1071,plain,
    ( sk_c8 = multiply(sk_c4,identity)
    | multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f6,f839]) ).

fof(f3486,plain,
    ( spl0_12
    | spl0_12
    | spl0_12
    | spl0_13
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f3485,f837,f316,f312,f2015,f2012,f2012,f2012]) ).

fof(f3485,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3484,f839]) ).

fof(f3484,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3483,f839]) ).

fof(f3483,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3482,f839]) ).

fof(f3482,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3481,f839]) ).

fof(f3481,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3480,f839]) ).

fof(f3480,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f3479,f2399]) ).

fof(f2399,plain,
    ( identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f2398]) ).

fof(f2398,plain,
    ( identity = sk_c8
    | identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2397,f839]) ).

fof(f2397,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2396,f1]) ).

fof(f2396,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | identity = sk_c8
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2395,f897]) ).

fof(f2395,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | identity = sk_c8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1150,f1115]) ).

fof(f1150,plain,
    ( identity = sk_c8
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f23,f825]) ).

fof(f825,plain,
    ( identity = multiply(sk_c2,sk_c3)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f814]) ).

fof(f814,plain,
    ( sk_c2 = inverse(sk_c3)
    | ~ spl0_9 ),
    inference(superposition,[],[f807,f577]) ).

fof(f807,plain,
    ( sk_c2 = multiply(inverse(sk_c3),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f800]) ).

fof(f800,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f318]) ).

fof(f318,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f3479,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c8
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3478,f839]) ).

fof(f3478,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c8 != sk_c7
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3477,f1115]) ).

fof(f3477,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != sk_c6
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2294,f2399]) ).

fof(f2394,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2393]) ).

fof(f2393,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2392,f842]) ).

fof(f2392,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2391,f1]) ).

fof(f2391,plain,
    ( sk_c7 = multiply(identity,sk_c8)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2390,f897]) ).

fof(f2390,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2389,f1115]) ).

fof(f2389,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1150,f907]) ).

fof(f2284,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2283]) ).

fof(f2283,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2274,f842]) ).

fof(f2274,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(superposition,[],[f2125,f2233]) ).

fof(f2233,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(forward_demodulation,[],[f2228,f700]) ).

fof(f2228,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(superposition,[],[f61,f2126]) ).

fof(f2126,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f6,f12,f7,f32,f17,f8,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29]) ).

fof(f1288,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f964,f682]) ).

fof(f1287,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f43,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f751,f792,f19,f23,f29,f33,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1045,f1066,f1056,f699,f691,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f6,f12,f7,f32,f17,f8,f13,f1286,f18]) ).

fof(f1286,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f43,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f751,f792,f19,f23,f29,f33,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1045,f1066,f1056,f699,f691,f18,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f6,f12,f7,f32,f17,f8,f13]) ).

fof(f1274,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f43,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f751,f792,f19,f23,f29,f33,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1045,f1066,f1056,f699,f691,f18,f13,f8,f838,f32,f7,f12,f6,f4,f14,f1271,f16,f1272,f9,f11]) ).

fof(f1272,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f43,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f751,f792,f19,f23,f29,f33,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1045,f1066,f1056,f699,f691,f18,f13,f8,f838,f32,f7,f12,f6,f4,f11,f9,f14,f1271,f16]) ).

fof(f1271,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f43,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f751,f792,f19,f23,f29,f33,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1045,f1066,f1056,f699,f691,f16,f18,f13,f8,f838,f32,f7,f12,f6,f4,f11,f9,f14]) ).

fof(f794,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f793,f692]) ).

fof(f793,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f751]) ).

fof(f790,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f789,f692]) ).

fof(f789,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f9,f751]) ).

fof(f792,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f791,f692]) ).

fof(f791,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13,f751]) ).

fof(f2125,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f29,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f699,f691,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f6,f12,f7,f32,f17,f8,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33]) ).

fof(f2282,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2281]) ).

fof(f2281,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2273,f842]) ).

fof(f2273,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(superposition,[],[f2233,f2125]) ).

fof(f2184,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2183]) ).

fof(f2183,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f145,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f877,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f876,f692]) ).

fof(f876,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f875,f843]) ).

fof(f875,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(subsumption_resolution,[],[f794,f838]) ).

fof(f2154,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31]) ).

fof(f2153,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != sk_c6
        | identity != sk_c8
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(inner_rewriting,[],[f2152]) ).

fof(f2152,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != sk_c6
        | identity != sk_c8
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(forward_demodulation,[],[f2151,f1]) ).

fof(f2151,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c8
        | sk_c7 != inverse(X7)
        | identity != inverse(X3)
        | identity != inverse(X6)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,identity)
        | identity != multiply(X6,sk_c7)
        | identity != multiply(inverse(X4),sk_c7)
        | sk_c6 != multiply(identity,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(inner_rewriting,[],[f2150]) ).

fof(f2150,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c8
        | sk_c7 != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149]) ).

fof(f2148,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147]) ).

fof(f2147,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2146,f692]) ).

fof(f2146,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f9,f751]) ).

fof(f2145,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4]) ).

fof(f2144,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6]) ).

fof(f2141,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2140,f692]) ).

fof(f2140,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f12,f751]) ).

fof(f2136,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f6,f12,f7,f32,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128,f2129,f2134,f2135,f8]) ).

fof(f2135,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f6,f12,f7,f32,f17,f8,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128,f2129,f2134]) ).

fof(f2134,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2133,f692]) ).

fof(f2133,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13,f751]) ).

fof(f2129,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f31,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f4,f6,f12,f7,f32,f17,f8,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f2128]) ).

fof(f2128,plain,
    ( identity = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2127,f692]) ).

fof(f2127,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f751]) ).

fof(f145,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f2182,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2181]) ).

fof(f2181,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f846,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f846,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f145,f843]) ).

fof(f2180,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2179]) ).

fof(f2179,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_6
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1209,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f1209,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f145,f843]) ).

fof(f2178,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2177]) ).

fof(f2177,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f314,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f2176,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2175]) ).

fof(f2175,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f700,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f2174,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2173]) ).

fof(f2173,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2172,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f2172,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f850,f682]) ).

fof(f850,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f700,f843]) ).

fof(f2171,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2170]) ).

fof(f2170,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f854,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f854,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f849,f444]) ).

fof(f849,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f445,f843]) ).

fof(f2169,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2168]) ).

fof(f2168,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1206,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f1206,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f850,f682]) ).

fof(f2167,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2166]) ).

fof(f2166,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1219,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f1219,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1212,f444]) ).

fof(f1212,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f445,f843]) ).

fof(f2165,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2164]) ).

fof(f2164,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1220,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f1220,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1213,f682]) ).

fof(f1213,plain,
    ( sk_c5 = inverse(sk_c8)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f700,f843]) ).

fof(f2163,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2162]) ).

fof(f2162,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2161,f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f2161,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1213,f682]) ).

fof(f2160,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2159]) ).

fof(f2159,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853,f838]) ).

fof(f2158,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2157]) ).

fof(f2157,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877,f853]) ).

fof(f2156,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2155]) ).

fof(f2155,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f15,f45,f3,f64,f35,f30,f22,f20,f10,f5,f25,f39,f305,f308,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f580,f581,f583,f584,f577,f628,f612,f633,f574,f572,f549,f547,f534,f532,f447,f435,f434,f444,f683,f684,f686,f682,f692,f792,f19,f23,f21,f28,f26,f24,f790,f794,f605,f970,f971,f576,f1066,f1056,f838,f14,f1271,f16,f1272,f9,f11,f1274,f12,f17,f13,f1286,f18,f1287,f1288,f43,f751,f578,f1438,f1445,f1045,f1484,f1503,f1567,f1587,f1590,f1585,f1595,f1605,f1615,f1677,f1622,f1623,f1625,f1626,f1653,f1683,f1693,f1709,f1710,f1711,f1712,f1703,f1769,f1772,f1773,f1774,f1775,f1589,f1817,f1821,f1830,f1831,f1832,f1833,f1835,f1836,f1657,f1884,f1893,f1894,f1907,f1911,f1913,f1860,f1973,f1979,f1983,f1985,f1960,f1959,f1890,f1826,f1802,f1801,f1759,f1758,f1705,f1704,f1689,f1618,f1424,f33,f2125,f699,f691,f29,f2126,f843,f2128,f2129,f2134,f2135,f8,f2136,f32,f7,f2141,f6,f2144,f4,f2145,f2147,f2148,f2149,f2150,f2152,f2153,f31,f2154,f1215,f877]) ).

fof(f2091,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f2090]) ).

fof(f2090,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2089,f605]) ).

fof(f2089,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2067,f605]) ).

fof(f2067,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2061]) ).

fof(f2061,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_12 ),
    inference(superposition,[],[f2013,f535]) ).

fof(f2013,plain,
    ( ! [X7] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X7) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f2012]) ).

fof(f2088,plain,
    ~ spl0_12,
    inference(avatar_contradiction_clause,[],[f2087]) ).

fof(f2087,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2068,f605]) ).

fof(f2068,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2060]) ).

fof(f2060,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_12 ),
    inference(superposition,[],[f2013,f2]) ).

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

fof(f2085,plain,
    ( $false
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2069,f550]) ).

fof(f2069,plain,
    ( identity != inverse(identity)
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2059]) ).

fof(f2059,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f2013,f1]) ).

fof(f2084,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2083]) ).

fof(f2083,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2082,f550]) ).

fof(f2082,plain,
    ( identity != inverse(identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2070,f1359]) ).

fof(f1359,plain,
    ( identity = sk_c3
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1354,f577]) ).

fof(f1354,plain,
    ( identity = multiply(sk_c3,identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1353,f1279]) ).

fof(f1279,plain,
    ( identity = sk_c8
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f318,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f18,f13,f8,f32,f313,f7,f12,f14,f16,f9,f1273,f11,f4,f1275,f6,f1276,f1148,f1084,f1239]) ).

fof(f1239,plain,
    ( identity = sk_c8
    | sk_c7 = inverse(sk_c5)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f22,f825]) ).

fof(f1084,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f21,f825]) ).

fof(f1148,plain,
    ( identity = sk_c8
    | sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f19,f825]) ).

fof(f1276,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f18,f13,f8,f32,f313,f7,f12,f14,f16,f9,f1273,f11,f4,f1275,f6]) ).

fof(f1275,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f18,f13,f8,f32,f313,f7,f12,f6,f14,f16,f9,f1273,f11,f4]) ).

fof(f1273,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f18,f13,f8,f32,f313,f7,f12,f6,f4,f11,f14,f16,f9]) ).

fof(f313,plain,
    ( sk_c7 != inverse(sk_c5)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f824,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f814]) ).

fof(f799,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f318]) ).

fof(f833,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f831,f1]) ).

fof(f831,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f825]) ).

fof(f818,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f817,f1]) ).

fof(f817,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),multiply(identity,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f807]) ).

fof(f816,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c2)
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f807]) ).

fof(f815,plain,
    ( sk_c2 = inverse(sk_c3)
    | ~ spl0_9 ),
    inference(superposition,[],[f577,f807]) ).

fof(f809,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f808,f1]) ).

fof(f808,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f800]) ).

fof(f798,plain,
    ( sk_c2 = multiply(inverse(sk_c3),identity)
    | ~ spl0_9 ),
    inference(superposition,[],[f430,f318]) ).

fof(f797,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c2)
    | ~ spl0_9 ),
    inference(superposition,[],[f535,f318]) ).

fof(f796,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c3),X0)
    | ~ spl0_9 ),
    inference(superposition,[],[f438,f318]) ).

fof(f1353,plain,
    ( sk_c8 = multiply(sk_c3,identity)
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1282,f839]) ).

fof(f1282,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f18,f13,f8,f14,f16,f9,f1273,f11,f4,f1275,f6,f1276,f12,f1280,f7,f1281,f313,f32]) ).

fof(f1281,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f18,f13,f8,f32,f313,f14,f16,f9,f1273,f11,f4,f1275,f6,f1276,f12,f1280,f7]) ).

fof(f1280,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f18,f13,f8,f32,f313,f7,f14,f16,f9,f1273,f11,f4,f1275,f6,f1276,f12]) ).

fof(f2070,plain,
    ( identity != inverse(sk_c3)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f2058]) ).

fof(f2058,plain,
    ( identity != identity
    | identity != inverse(sk_c3)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f2013,f1354]) ).

fof(f2081,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2080]) ).

fof(f2080,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2079,f550]) ).

fof(f2079,plain,
    ( identity != inverse(identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2078,f1373]) ).

fof(f1373,plain,
    ( identity = sk_c2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1368,f2]) ).

fof(f1368,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f807,f1359]) ).

fof(f2078,plain,
    ( identity != inverse(sk_c2)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2077,f814]) ).

fof(f2077,plain,
    ( identity != inverse(inverse(sk_c3))
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2057,f1373]) ).

fof(f2057,plain,
    ( identity != sk_c2
    | identity != inverse(inverse(sk_c3))
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f2013,f807]) ).

fof(f2076,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f2075]) ).

fof(f2075,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2074,f550]) ).

fof(f2074,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2073,f1295]) ).

fof(f1295,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1292,f2]) ).

fof(f1292,plain,
    ( sk_c4 = multiply(inverse(identity),identity)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f444,f1279]) ).

fof(f2073,plain,
    ( identity != inverse(sk_c4)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f2072,f682]) ).

fof(f2072,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f2056,f1295]) ).

fof(f2056,plain,
    ( identity != sk_c4
    | identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f2013,f444]) ).

fof(f2053,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2052]) ).

fof(f2052,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2026,f1373]) ).

fof(f2026,plain,
    ( identity != sk_c2
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f807]) ).

fof(f2016,plain,
    ( ! [X4] : identity != multiply(inverse(X4),identity)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f2015]) ).

fof(f2051,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2050]) ).

fof(f2050,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2025,f1295]) ).

fof(f2025,plain,
    ( identity != sk_c4
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f444]) ).

fof(f2049,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2048]) ).

fof(f2048,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2047,f1]) ).

fof(f2047,plain,
    ( identity != multiply(identity,identity)
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2023,f1373]) ).

fof(f2023,plain,
    ( identity != multiply(sk_c2,identity)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f814]) ).

fof(f2046,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2045,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2022,f1354]) ).

fof(f2022,plain,
    ( identity != multiply(sk_c3,identity)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f318]) ).

fof(f2044,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2043]) ).

fof(f2043,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2042,f1]) ).

fof(f2042,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2021,f1279]) ).

fof(f2021,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f39]) ).

fof(f2041,plain,
    ( ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f2040]) ).

fof(f2040,plain,
    ( $false
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2039,f1]) ).

fof(f2039,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | spl0_8
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f2020,f1295]) ).

fof(f2020,plain,
    ( identity != multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f682]) ).

fof(f2038,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2037]) ).

fof(f2037,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f2018,f1]) ).

fof(f2018,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f550]) ).

fof(f2036,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2035]) ).

fof(f2035,plain,
    ( $false
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2028]) ).

fof(f2028,plain,
    ( identity != identity
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f2]) ).

fof(f2034,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f2033]) ).

fof(f2033,plain,
    ( $false
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f2029]) ).

fof(f2029,plain,
    ( identity != identity
    | ~ spl0_13 ),
    inference(superposition,[],[f2016,f535]) ).

fof(f2017,plain,
    ( spl0_12
    | spl0_12
    | spl0_12
    | spl0_13
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1476,f837,f316,f312,f2015,f2012,f2012,f2012]) ).

fof(f1476,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1475,f1279]) ).

fof(f1475,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c8
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1474,f577]) ).

fof(f1474,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(sk_c8,identity)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1473,f839]) ).

fof(f1473,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(sk_c8,sk_c7)
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7) )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1472,f1333]) ).

fof(f1333,plain,
    ( identity = sk_c6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1136,f1279]) ).

fof(f1472,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1471,f1279]) ).

fof(f1471,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c8
        | identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1470,f576]) ).

fof(f1470,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1469,f1279]) ).

fof(f1469,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c8 != multiply(inverse(X4),identity)
        | identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1468,f839]) ).

fof(f1468,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1467,f1279]) ).

fof(f1467,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c8 != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1466,f839]) ).

fof(f1466,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1465,f839]) ).

fof(f1465,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != multiply(X3,identity)
        | identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1464,f1279]) ).

fof(f1464,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1463,f839]) ).

fof(f1463,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != multiply(X7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1462,f1333]) ).

fof(f1462,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1461,f839]) ).

fof(f1461,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != sk_c7
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1460,f1333]) ).

fof(f1460,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c7 != sk_c6
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1459,f577]) ).

fof(f1459,plain,
    ( ! [X3,X6,X7,X4] :
        ( sk_c6 != multiply(sk_c7,identity)
        | identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1458,f1279]) ).

fof(f1458,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != inverse(X6)
        | identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1457,f1279]) ).

fof(f1457,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != inverse(X3)
        | identity != inverse(X7)
        | sk_c8 != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1456,f1279]) ).

fof(f1456,plain,
    ( ! [X3,X6,X7,X4] :
        ( identity != inverse(X7)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X6)
        | sk_c6 != multiply(sk_c7,sk_c8)
        | sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4))
        | multiply(sk_c8,sk_c7) != sk_c6 )
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f35,f839]) ).

fof(f1335,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1334,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f907,f1279]) ).

fof(f1317,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1316,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1315,f838]) ).

fof(f1315,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1314,f1]) ).

fof(f1314,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1313,f1295]) ).

fof(f1313,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1312,f751]) ).

fof(f1312,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1273,f1279]) ).

fof(f1270,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1269]) ).

fof(f1269,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f13,f8,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12,f6,f4,f11,f9,f1265,f1268]) ).

fof(f1267,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1266]) ).

fof(f1266,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f13,f8,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12,f6,f4,f11,f9,f1265]) ).

fof(f1264,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1263]) ).

fof(f1263,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f13,f8,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12,f6,f4,f11,f9]) ).

fof(f1262,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1261]) ).

fof(f1261,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f8,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12,f6,f4,f11]) ).

fof(f1260,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1259]) ).

fof(f1259,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f8,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12,f6,f4]) ).

fof(f1258,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1257]) ).

fof(f1257,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12,f6]) ).

fof(f1256,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1255]) ).

fof(f1255,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1148,f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12]) ).

fof(f1254,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1253]) ).

fof(f1253,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1084,f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12]) ).

fof(f1252,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1251]) ).

fof(f1251,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1239,f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12]) ).

fof(f1250,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1249]) ).

fof(f1249,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f313,f7,f12]) ).

fof(f1248,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1247,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f12,f313,f7]) ).

fof(f1246,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f1245]) ).

fof(f1245,plain,
    ( $false
    | spl0_2
    | spl0_8 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f19,f23,f29,f33,f31,f21,f28,f26,f24,f605,f970,f971,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f42,f1147,f1144,f1142,f1191,f1190,f1229,f32,f1238,f12,f7,f313]) ).

fof(f1244,plain,
    ( ~ spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1243]) ).

fof(f1243,plain,
    ( $false
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f19,f23,f29,f33,f31,f21,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f1146,f1143,f1140,f1187,f1186,f1152,f1145,f1141,f1155,f1228,f1084,f1230,f827,f1231,f1234,f1236,f32,f1239,f1240,f12,f1241,f7,f1242,f313]) ).

fof(f1242,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f19,f23,f29,f33,f31,f21,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f1146,f1143,f1140,f1187,f1186,f1152,f1145,f1141,f1155,f1228,f1084,f1230,f827,f1231,f1234,f1236,f32,f1239,f1240,f12,f1241,f7]) ).

fof(f1241,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f19,f23,f29,f33,f31,f21,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f1146,f1143,f1140,f1187,f1186,f1152,f1145,f1141,f1155,f1228,f1084,f1230,f827,f1231,f1234,f1236,f32,f1239,f1240,f12]) ).

fof(f1240,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f19,f23,f29,f33,f31,f21,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f1146,f1143,f1140,f1187,f1186,f1152,f1145,f1141,f1155,f1228,f1084,f1230,f827,f1231,f1234,f1236,f32,f1239]) ).

fof(f1236,plain,
    ( identity != sk_c8
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f1235]) ).

fof(f1235,plain,
    ( identity != sk_c8
    | identity != sk_c8
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f724,f576]) ).

fof(f724,plain,
    ( identity != sk_c8
    | sk_c8 != multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_3 ),
    inference(superposition,[],[f135,f2]) ).

fof(f1234,plain,
    ( identity != sk_c8
    | ~ spl0_3 ),
    inference(duplicate_literal_removal,[],[f1233]) ).

fof(f1233,plain,
    ( identity != sk_c8
    | identity != sk_c8
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f725,f576]) ).

fof(f725,plain,
    ( identity != sk_c8
    | sk_c8 != multiply(inverse(inverse(sk_c7)),inverse(inverse(inverse(sk_c7))))
    | ~ spl0_3 ),
    inference(superposition,[],[f135,f535]) ).

fof(f1231,plain,
    ( identity != sk_c8
    | identity != multiply(sk_c2,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(inner_rewriting,[],[f827]) ).

fof(f827,plain,
    ( identity != sk_c8
    | sk_c8 != multiply(sk_c2,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f826,f800]) ).

fof(f826,plain,
    ( sk_c8 != multiply(sk_c3,sk_c2)
    | sk_c8 != multiply(sk_c2,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f820,f814]) ).

fof(f820,plain,
    ( sk_c8 != multiply(sk_c2,sk_c7)
    | sk_c8 != multiply(sk_c3,inverse(sk_c3))
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f135,f814]) ).

fof(f1230,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f19,f23,f29,f33,f31,f21,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f16,f18,f9,f13,f11,f4,f8,f6,f1146,f1143,f1140,f1187,f1186,f1152,f1145,f1141,f1155,f1228,f1084]) ).

fof(f1228,plain,
    ( ! [X0] :
        ( identity != sk_c8
        | identity != multiply(X0,sk_c7) )
    | ~ spl0_3 ),
    inference(inner_rewriting,[],[f1155]) ).

fof(f1155,plain,
    ( ! [X0] :
        ( identity != sk_c8
        | sk_c8 != multiply(X0,sk_c7) )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f972,f576]) ).

fof(f972,plain,
    ( ! [X0] :
        ( sk_c8 != multiply(X0,sk_c7)
        | sk_c8 != multiply(inverse(X0),inverse(inverse(X0))) )
    | ~ spl0_3 ),
    inference(superposition,[],[f135,f605]) ).

fof(f1141,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f18,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f13,f9,f135,f729,f730,f726,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f1140,f16]) ).

fof(f1145,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f1140,f16,f1141,f18,f9,f1143,f13,f11]) ).

fof(f1152,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f19,f23,f29,f33,f31,f21,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f1140,f16,f1141,f18,f9,f1143,f13,f11,f1145,f4,f1146,f8,f6]) ).

fof(f1186,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f1140]) ).

fof(f1187,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1140]) ).

fof(f1140,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f18,f16,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f13,f9,f135,f729,f730,f726,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14]) ).

fof(f1143,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f13,f135,f729,f730,f726,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f1140,f16,f1141,f18,f9]) ).

fof(f1146,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f17,f1,f2,f15,f3,f35,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f578,f580,f581,f583,f584,f577,f628,f612,f633,f135,f729,f730,f726,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f318,f801,f796,f797,f798,f800,f809,f807,f815,f816,f818,f814,f825,f833,f605,f970,f971,f799,f824,f576,f1045,f1066,f1056,f14,f1140,f16,f1141,f18,f9,f1143,f13,f11,f1145,f4]) ).

fof(f801,plain,
    ( sk_c8 != multiply(sk_c2,sk_c3)
    | sk_c8 != multiply(sk_c3,sk_c7)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f795,f318]) ).

fof(f795,plain,
    ( sk_c8 != multiply(sk_c3,sk_c7)
    | sk_c8 != multiply(sk_c2,inverse(sk_c2))
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f135,f318]) ).

fof(f726,plain,
    ( ! [X0] :
        ( sk_c8 != multiply(X0,sk_c7)
        | sk_c8 != multiply(inverse(X0),inverse(inverse(X0))) )
    | ~ spl0_3 ),
    inference(superposition,[],[f135,f438]) ).

fof(f730,plain,
    ( identity != sk_c8
    | identity != sk_c7
    | ~ spl0_3 ),
    inference(inner_rewriting,[],[f729]) ).

fof(f729,plain,
    ( identity != sk_c8
    | sk_c8 != sk_c7
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f728,f1]) ).

fof(f728,plain,
    ( sk_c8 != multiply(identity,identity)
    | sk_c8 != sk_c7
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f727,f550]) ).

fof(f727,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != multiply(identity,inverse(identity))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f718,f1]) ).

fof(f718,plain,
    ( sk_c8 != multiply(identity,sk_c7)
    | sk_c8 != multiply(identity,inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f135,f550]) ).

fof(f135,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl0_3
  <=> ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1227,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1226,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1225,f1185]) ).

fof(f1185,plain,
    ( sk_c8 != sk_c6
    | ~ spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f145,f1140]) ).

fof(f1225,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1224,f843]) ).

fof(f1224,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1217,f1162]) ).

fof(f1162,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1160,f39]) ).

fof(f1160,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f1085]) ).

fof(f1085,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1084,f740]) ).

fof(f740,plain,
    ( identity != sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f739,f17,f14,f18,f16,f1,f2,f15,f3,f35,f31,f21,f11,f6,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f27,f314,f320,f322,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f573,f548,f533,f436,f33,f29,f23,f19,f13,f9,f8,f4,f445,f701,f702,f704,f700,f709,f710,f717,f135,f729,f730,f737]) ).

fof(f737,plain,
    ( identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f736]) ).

fof(f736,plain,
    ( identity != sk_c8
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f735,f320]) ).

fof(f735,plain,
    ( sk_c8 != multiply(sk_c7,sk_c5)
    | identity != sk_c8
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f734,f700]) ).

fof(f734,plain,
    ( identity != sk_c8
    | sk_c8 != multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f720,f710]) ).

fof(f720,plain,
    ( sk_c8 != multiply(sk_c5,sk_c7)
    | sk_c8 != multiply(sk_c7,inverse(sk_c7))
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f135,f700]) ).

fof(f739,plain,
    ( identity != sk_c8
    | sk_c8 != multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f738,f692]) ).

fof(f738,plain,
    ( sk_c8 != multiply(sk_c4,sk_c8)
    | sk_c8 != multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f721,f39]) ).

fof(f721,plain,
    ( sk_c8 != multiply(sk_c8,sk_c7)
    | sk_c8 != multiply(sk_c4,inverse(sk_c4))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f135,f39]) ).

fof(f1217,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1140,f843]) ).

fof(f1223,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1222]) ).

fof(f1222,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1221,f740]) ).

fof(f1221,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1216,f692]) ).

fof(f1216,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1085,f843]) ).

fof(f1204,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1203]) ).

fof(f1203,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1197,f842]) ).

fof(f1197,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1142,f1188]) ).

fof(f1188,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1186,f700]) ).

fof(f1202,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1201]) ).

fof(f1201,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f1196,f842]) ).

fof(f1196,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f1188,f1142]) ).

fof(f1182,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1181,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1176,f838]) ).

fof(f1176,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f577,f339]) ).

fof(f1180,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1179]) ).

fof(f1179,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | spl0_10 ),
    inference(subsumption_resolution,[],[f1175,f838]) ).

fof(f1175,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f339,f577]) ).

fof(f1139,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1138]) ).

fof(f1138,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1137,f740]) ).

fof(f1137,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1101,f1097]) ).

fof(f1097,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1096,f740]) ).

fof(f1096,plain,
    ( identity = sk_c8
    | identity = sk_c6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1095,f825]) ).

fof(f1095,plain,
    ( identity = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1094,f839]) ).

fof(f1094,plain,
    ( sk_c7 = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1093,f1]) ).

fof(f1093,plain,
    ( sk_c7 = multiply(identity,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f23,f897]) ).

fof(f1101,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1100,f740]) ).

fof(f1100,plain,
    ( identity = sk_c8
    | sk_c8 = sk_c6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1099,f825]) ).

fof(f1099,plain,
    ( sk_c8 = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1098,f1]) ).

fof(f1098,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f19,f839]) ).

fof(f1092,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1091]) ).

fof(f1091,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1090,f740]) ).

fof(f1090,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1089,f825]) ).

fof(f1089,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f1088,f740]) ).

fof(f1088,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1087,f839]) ).

fof(f1087,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f23,f806]) ).

fof(f806,plain,
    ( sk_c8 = multiply(sk_c5,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f804,f700]) ).

fof(f804,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f61,f802]) ).

fof(f802,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f790,f17,f14,f18,f16,f1,f2,f15,f3,f35,f11,f32,f30,f22,f20,f12,f10,f7,f5,f25,f27,f61,f432,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f13,f9,f135,f729,f730,f726,f4,f8,f19,f23,f29,f33,f31,f21,f6,f28,f26,f24,f318,f801,f796,f797,f798,f799,f800]) ).

fof(f901,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f900]) ).

fof(f900,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f899,f803]) ).

fof(f803,plain,
    ( sk_c8 != sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f145,f802]) ).

fof(f899,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f894,f1]) ).

fof(f894,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f802,f839]) ).

fof(f896,plain,
    ( spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f895]) ).

fof(f895,plain,
    ( $false
    | spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f888,f1]) ).

fof(f888,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f145,f839]) ).

fof(f885,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f884]) ).

fof(f884,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f883,f740]) ).

fof(f883,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f882,f692]) ).

fof(f882,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f881,f843]) ).

fof(f881,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f880,f740]) ).

fof(f880,plain,
    ( identity = sk_c8
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f794,f843]) ).

fof(f879,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f878]) ).

fof(f878,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f877,f740]) ).

fof(f844,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f835,f316,f312,f134,f41,f37,f841,f837]) ).

fof(f835,plain,
    ( sk_c8 = sk_c7
    | identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f792,f806]) ).

fof(f783,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f782]) ).

fof(f782,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f781,f673]) ).

fof(f673,plain,
    ( sk_c8 != sk_c6
    | spl0_6
    | spl0_9 ),
    inference(superposition,[],[f145,f325]) ).

fof(f781,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f780,f756]) ).

fof(f780,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f769,f328]) ).

fof(f769,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f679,f756]) ).

fof(f778,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f777]) ).

fof(f777,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f776,f740]) ).

fof(f775,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f774]) ).

fof(f774,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f773,f673]) ).

fof(f773,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f772,f756]) ).

fof(f772,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f766,f328]) ).

fof(f766,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f325,f756]) ).

fof(f659,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f658]) ).

fof(f658,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f639,f350]) ).

fof(f639,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f634,f43]) ).

fof(f634,plain,
    ( ! [X4] : identity != multiply(inverse(X4),identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f17,f14,f18,f16,f1,f2,f15,f3,f135,f35,f33,f31,f29,f23,f21,f19,f13,f11,f9,f8,f6,f4,f32,f30,f28,f26,f24,f22,f20,f12,f10,f7,f5,f25,f39,f144,f305,f308,f27,f314,f317,f320,f322,f326,f327,f329,f328,f330,f332,f334,f333,f335,f306,f337,f339,f342,f344,f345,f347,f348,f349,f350,f357,f355,f359,f366,f368,f361,f375,f346,f388,f392,f387,f61,f431,f432,f433,f454,f457,f459,f463,f468,f469,f471,f472,f461,f495,f497,f430,f545,f535,f551,f562,f553,f550,f438,f576,f578,f580,f581,f583,f584,f577,f605,f628,f612,f633,f521]) ).

fof(f521,plain,
    ( ! [X4] :
        ( identity != multiply(X4,inverse(X4))
        | identity != multiply(inverse(X4),identity) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f520,f461]) ).

fof(f520,plain,
    ( ! [X4] :
        ( identity != multiply(inverse(X4),identity)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f519,f461]) ).

fof(f519,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c8)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f135,f342]) ).

fof(f497,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f496,f1]) ).

fof(f496,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f482,f387]) ).

fof(f482,plain,
    ( sk_c7 = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f332,f461]) ).

fof(f495,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f481,f1]) ).

fof(f481,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f328,f461]) ).

fof(f472,plain,
    ( identity = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f446,f387]) ).

fof(f446,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f61,f346]) ).

fof(f471,plain,
    ( identity = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f470,f387]) ).

fof(f470,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f445,f342]) ).

fof(f469,plain,
    ( identity = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f444,f361]) ).

fof(f468,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f467,f2]) ).

fof(f467,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f443,f342]) ).

fof(f443,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f61,f333]) ).

fof(f463,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f462,f2]) ).

fof(f462,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f440,f342]) ).

fof(f440,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f61,f328]) ).

fof(f459,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f458,f342]) ).

fof(f458,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f437,f355]) ).

fof(f437,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(sk_c8,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f61,f306]) ).

fof(f457,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f456,f1]) ).

fof(f456,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f455,f387]) ).

fof(f455,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f436,f342]) ).

fof(f454,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f453,f1]) ).

fof(f453,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f435,f361]) ).

fof(f433,plain,
    ( identity = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f61,f350]) ).

fof(f431,plain,
    ( ! [X0] : multiply(inverse(sk_c8),X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f61,f355]) ).

fof(f387,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f346,f355]) ).

fof(f392,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f390,f1]) ).

fof(f390,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f346]) ).

fof(f388,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f355,f346]) ).

fof(f346,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f320,f342]) ).

fof(f368,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f305,f355]) ).

fof(f366,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f308,f355]) ).

fof(f359,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f355,f308]) ).

fof(f357,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f337,f342]) ).

fof(f349,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f333,f342]) ).

fof(f348,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f327,f342]) ).

fof(f347,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f322,f342]) ).

fof(f345,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f306,f342]) ).

fof(f344,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f144,f342]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f306,f308]) ).

fof(f335,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f3,f333]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f3,f332]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f3,f328]) ).

fof(f657,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f656]) ).

fof(f656,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f655,f350]) ).

fof(f655,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f638,f342]) ).

fof(f638,plain,
    ( identity != multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f634,f314]) ).

fof(f654,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f653]) ).

fof(f653,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f637,f350]) ).

fof(f637,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f634,f39]) ).

fof(f652,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f651]) ).

fof(f651,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f636,f350]) ).

fof(f636,plain,
    ( identity != multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f634,f375]) ).

fof(f650,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f649,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f635,f1]) ).

fof(f635,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f634,f550]) ).

fof(f648,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f647]) ).

fof(f647,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f642]) ).

fof(f642,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f634,f2]) ).

fof(f646,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f645]) ).

fof(f645,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f643]) ).

fof(f643,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f634,f535]) ).

fof(f319,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f27,f316,f312]) ).

fof(f300,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f298,f1]) ).

fof(f298,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f297,f225]) ).

fof(f297,plain,
    ( sk_c8 != multiply(identity,inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f286,f113]) ).

fof(f286,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | sk_c8 != multiply(identity,inverse(identity))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f271,f225]) ).

fof(f271,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c8)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f135,f188]) ).

fof(f296,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f294,f50]) ).

fof(f294,plain,
    ( sk_c8 != multiply(sk_c2,sk_c3)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f293,f46]) ).

fof(f293,plain,
    ( sk_c8 != multiply(sk_c2,inverse(sk_c2))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f285,f118]) ).

fof(f285,plain,
    ( sk_c8 != multiply(sk_c3,sk_c8)
    | sk_c8 != multiply(sk_c2,inverse(sk_c2))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f271,f46]) ).

fof(f292,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f290,f1]) ).

fof(f290,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f289,f190]) ).

fof(f289,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f288,f43]) ).

fof(f288,plain,
    ( sk_c8 != multiply(sk_c1,inverse(sk_c1))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f284,f113]) ).

fof(f284,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | sk_c8 != multiply(sk_c1,inverse(sk_c1))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f271,f43]) ).

fof(f212,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f210,f157]) ).

fof(f157,plain,
    ( sk_c8 != sk_c7
    | spl0_1
    | spl0_6 ),
    inference(superposition,[],[f145,f152]) ).

fof(f209,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f208]) ).

fof(f208,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f197,f157]) ).

fof(f206,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f205]) ).

fof(f205,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f204,f157]) ).

fof(f203,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f202]) ).

fof(f202,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f188,f157]) ).

fof(f149,plain,
    ( spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_6
    | spl0_7
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f89,f41,f37,f147,f143,f140,f137,f134]) ).

fof(f140,plain,
    ( spl0_5
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f147,plain,
    ( spl0_7
  <=> ! [X7] :
        ( sk_c7 != multiply(X7,sk_c8)
        | sk_c7 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f15,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 04:55:35 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (15015)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (15018)WARNING: value z3 for option sas not known
% 0.14/0.38  % (15019)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (15016)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (15017)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (15022)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (15020)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (15021)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (15018)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [3]
% 0.22/0.42  TRYING [5]
% 0.22/0.42  TRYING [4]
% 0.22/0.46  TRYING [6]
% 1.19/0.52  % (15018)First to succeed.
% 1.41/0.55  % (15018)Refutation found. Thanks to Tanya!
% 1.41/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.41/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.56  % (15018)------------------------------
% 1.41/0.56  % (15018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.41/0.56  % (15018)Termination reason: Refutation
% 1.41/0.56  
% 1.41/0.56  % (15018)Memory used [KB]: 2276
% 1.41/0.56  % (15018)Time elapsed: 0.166 s
% 1.41/0.56  % (15018)Instructions burned: 289 (million)
% 1.41/0.56  % (15018)------------------------------
% 1.41/0.56  % (15018)------------------------------
% 1.41/0.56  % (15015)Success in time 0.186 s
%------------------------------------------------------------------------------