%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP368-1 : 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 : n032.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 12:04:25 EDT 2024

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   45
% Syntax   : Number of formulae    : 1609 ( 138 unt;   0 def)
%            Number of atoms       : 5972 (1703 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 7514 (3151   ~;4352   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  648 ( 648   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4426,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f184,f198,f1398,f1435,f1564,f1911,f1914,f1917,f1920,f1922,f2024,f2238,f2245,f2248,f2250,f2252,f2254,f2256,f2258,f2467,f2657,f2845,f2902,f3058,f3071,f3073,f3088,f3092,f3094,f3097,f3101,f3103,f3105,f3107,f3109,f3111,f3114,f3268,f3270,f3273,f3320,f3325,f3327,f3385,f3389,f3391,f3409,f3411,f3413,f3415,f3417,f3424,f3427,f3429,f3436,f3441,f3448,f3455,f3457,f3459,f3461,f3463,f3466,f3468,f3470,f3472,f3474,f3476,f3478,f3481,f3484,f3487,f3490,f3493,f3496,f3500,f3504,f3508,f3511,f3514,f3518,f3521,f3525,f3530,f3532,f3534,f3536,f3538,f3540,f3542,f3544,f3546,f3548,f3550,f3552,f3554,f3556,f3558,f3560,f3562,f3564,f3566,f3568,f3570,f3572,f3574,f3576,f3578,f3580,f3582,f3584,f3586,f3588,f3590,f3592,f3595,f3597,f3599,f3601,f3603,f3605,f3607,f3609,f3611,f3613,f3615,f3617,f3619,f3621,f3623,f3625,f3627,f3629,f3631,f3633,f3635,f3637,f3639,f3641,f3643,f3645,f3647,f3649,f3651,f3653,f3655,f3657,f3659,f3661,f3663,f3665,f3667,f3669,f3671,f3673,f3675,f3677,f3679,f3681,f3683,f3685,f3875,f3877,f3882,f3895,f3899,f3901,f3904,f3907,f3909,f3912,f3915,f3917,f3919,f3984,f4135,f4275,f4277,f4283,f4302,f4306,f4309,f4311,f4315,f4321,f4325,f4327,f4329,f4332,f4334,f4336,f4338,f4340,f4343,f4345,f4347,f4350,f4352,f4355,f4358,f4361,f4365,f4368,f4371,f4373,f4375,f4378,f4380,f4384,f4387,f4390,f4393,f4397,f4399,f4403,f4406,f4409,f4413,f4416,f4420,f4422,f4425]) ).

fof(f4425,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4424]) ).

fof(f4424,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4423,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4192,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f4003]) ).

fof(f4003,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f25,f42]) ).

fof(f3891,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f10,f42]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f11,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f4142,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f13,f23,f24,f19,f14,f9,f11,f6,f8,f16,f21,f42,f12,f27,f4139,f4003,f26,f4141,f28]) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | sk_c7 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f4141,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f28,f13,f23,f24,f19,f14,f9,f11,f6,f8,f16,f21,f42,f12,f27,f4139,f4003,f26]) ).

fof(f26,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = multiply(sk_c3,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f4139,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f28,f13,f23,f24,f19,f14,f9,f11,f6,f8,f16,f21,f42,f12,f27]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c3,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f42,plain,
    ( sk_c5 != inverse(sk_c6)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c5 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f16,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f6,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f14,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c3,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f1281,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f574,f1168]) ).

fof(f1275,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1168,f574]) ).

fof(f1403,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1139,f608]) ).

fof(f1139,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f1052,f423]) ).

fof(f1138,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f1052,f574]) ).

fof(f1410,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f964,f608]) ).

fof(f964,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f957,f2]) ).

fof(f1409,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1408,f608]) ).

fof(f1408,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(forward_demodulation,[],[f965,f608]) ).

fof(f965,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f957,f530]) ).

fof(f1402,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1313,f608]) ).

fof(f1313,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
    inference(superposition,[],[f961,f530]) ).

fof(f1401,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1400,f608]) ).

fof(f1400,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1319,f957]) ).

fof(f1319,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(multiply(inverse(X0),X1))),inverse(identity)) = X0,
    inference(superposition,[],[f961,f672]) ).

fof(f1399,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(forward_demodulation,[],[f1320,f608]) ).

fof(f1320,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(identity)) = X0,
    inference(superposition,[],[f961,f573]) ).

fof(f1312,plain,
    ! [X0] : multiply(X0,inverse(identity)) = X0,
    inference(superposition,[],[f961,f2]) ).

fof(f719,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f1,f575]) ).

fof(f715,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f575,f1]) ).

fof(f422,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f59,f1]) ).

fof(f1014,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f963,f573]) ).

fof(f963,plain,
    ! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
    inference(superposition,[],[f957,f1]) ).

fof(f935,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f811,f573]) ).

fof(f811,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f575,f672]) ).

fof(f934,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f810,f2]) ).

fof(f810,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f59,f672]) ).

fof(f925,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f801,f573]) ).

fof(f801,plain,
    ! [X0] : identity = inverse(multiply(X0,inverse(X0))),
    inference(superposition,[],[f672,f575]) ).

fof(f924,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f800,f2]) ).

fof(f800,plain,
    ! [X0] : identity = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f672,f59]) ).

fof(f1422,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f612,f608]) ).

fof(f612,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f574,f530]) ).

fof(f1421,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f620,f608]) ).

fof(f620,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f530,f574]) ).

fof(f673,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f573]) ).

fof(f669,plain,
    identity = inverse(identity),
    inference(superposition,[],[f573,f1]) ).

fof(f619,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f574]) ).

fof(f611,plain,
    identity = inverse(identity),
    inference(superposition,[],[f574,f2]) ).

fof(f551,plain,
    identity = inverse(identity),
    inference(superposition,[],[f423,f530]) ).

fof(f548,plain,
    identity = inverse(identity),
    inference(superposition,[],[f530,f423]) ).

fof(f3690,plain,
    ( sk_c5 != inverse(sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f21,f16,f8,f6,f11,f9,f14,f19,f24,f23,f13,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f42,f5,f10,f15,f25,f35]) ).

fof(f35,plain,
    ! [X6,X4,X5] :
      ( sk_c5 != inverse(sk_c6)
      | sk_c5 != inverse(X5)
      | sk_c7 != inverse(X6)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
      | sk_c7 != multiply(X5,sk_c5)
      | sk_c7 != multiply(X6,sk_c6)
      | multiply(sk_c5,sk_c7) != sk_c6 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != inverse(sk_c6)
      | sk_c5 != inverse(X5)
      | sk_c7 != inverse(X6)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c6 != multiply(sk_c7,X3)
      | sk_c7 != multiply(X5,sk_c5)
      | sk_c7 != multiply(X6,sk_c6)
      | multiply(sk_c5,sk_c7) != sk_c6
      | multiply(X4,sk_c7) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f25,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f15,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f10,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f5,axiom,
    ( sk_c5 = inverse(sk_c6)
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f2851,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8,f2847,f16,f2848,f18,f2849,f23,f2850,f21]) ).

fof(f2850,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8,f2847,f16,f2848,f18,f2849,f23]) ).

fof(f2849,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8,f2847,f16,f2848,f18]) ).

fof(f2848,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f18,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8,f2847,f16]) ).

fof(f2847,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f18,f16,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8]) ).

fof(f2846,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f18,f16,f14,f13,f11,f8,f33,f31,f29,f4,f9,f1558,f6]) ).

fof(f1558,plain,
    ( multiply(sk_c5,sk_c7) != sk_c6
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1557]) ).

fof(f1557,plain,
    ( spl0_8
  <=> multiply(sk_c5,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f18,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f7,axiom,
    ( sk_c7 = inverse(sk_c4)
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f2867,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | spl0_8 ),
    inference(superposition,[],[f3,f2846]) ).

fof(f4,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | multiply(sk_c5,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f29,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f31,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f33,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f30,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f760,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(superposition,[],[f672,f2]) ).

fof(f1419,plain,
    ! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
    inference(forward_demodulation,[],[f761,f608]) ).

fof(f761,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
    inference(superposition,[],[f672,f530]) ).

fof(f860,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
    inference(forward_demodulation,[],[f775,f3]) ).

fof(f775,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
    inference(superposition,[],[f672,f672]) ).

fof(f777,plain,
    ! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
    inference(superposition,[],[f672,f573]) ).

fof(f1405,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(forward_demodulation,[],[f979,f957]) ).

fof(f979,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
    inference(superposition,[],[f957,f672]) ).

fof(f981,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f957,f573]) ).

fof(f1344,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f961]) ).

fof(f1343,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f575,f961]) ).

fof(f1341,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f961]) ).

fof(f1340,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f59,f961]) ).

fof(f1339,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f672,f961]) ).

fof(f1338,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f957,f961]) ).

fof(f1327,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f961,f3]) ).

fof(f1322,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f961,f961]) ).

fof(f1366,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1321,f608]) ).

fof(f1321,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f961,f957]) ).

fof(f961,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f821,f574]) ).

fof(f821,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f575,f672]) ).

fof(f1279,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1168]) ).

fof(f1278,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f59,f1168]) ).

fof(f1277,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f672,f1168]) ).

fof(f1276,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f957,f1168]) ).

fof(f1273,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1168,f3]) ).

fof(f1168,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1052,f608]) ).

fof(f1177,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1052]) ).

fof(f1176,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f59,f1052]) ).

fof(f1175,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f672,f1052]) ).

fof(f1174,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f957,f1052]) ).

fof(f1147,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1052,f575]) ).

fof(f1137,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1052,f3]) ).

fof(f1052,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f977,f608]) ).

fof(f977,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f957,f59]) ).

fof(f1013,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f957]) ).

fof(f1012,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f575,f957]) ).

fof(f1010,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f957]) ).

fof(f1009,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f59,f957]) ).

fof(f1130,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1008,f608]) ).

fof(f1008,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f672,f957]) ).

fof(f1000,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f957,f3]) ).

fof(f1061,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f982,f608]) ).

fof(f982,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f957,f957]) ).

fof(f978,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f957,f575]) ).

fof(f968,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f957,f3]) ).

fof(f957,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f818,f574]) ).

fof(f818,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f59,f672]) ).

fof(f962,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f822,f3]) ).

fof(f822,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f672]) ).

fof(f959,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f958,f3]) ).

fof(f958,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f819,f1]) ).

fof(f819,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f672]) ).

fof(f929,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f805,f3]) ).

fof(f805,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f672,f3]) ).

fof(f795,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f672,f3]) ).

fof(f764,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f672,f3]) ).

fof(f672,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f573,f3]) ).

fof(f727,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f575]) ).

fof(f718,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f575,f3]) ).

fof(f575,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f433,f59]) ).

fof(f682,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f573]) ).

fof(f700,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f680,f1]) ).

fof(f680,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f573]) ).

fof(f573,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f433,f2]) ).

fof(f654,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f608]) ).

fof(f653,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f59,f608]) ).

fof(f608,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f574,f423]) ).

fof(f642,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f628,f574]) ).

fof(f628,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f433,f574]) ).

fof(f616,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f423,f574]) ).

fof(f635,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f614,f574]) ).

fof(f614,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[],[f574,f433]) ).

fof(f574,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f433,f423]) ).

fof(f581,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f59,f433]) ).

fof(f580,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f423,f433]) ).

fof(f578,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f59,f433]) ).

fof(f577,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f433]) ).

fof(f433,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f59,f59]) ).

fof(f564,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f550,f1]) ).

fof(f550,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f530]) ).

fof(f549,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f59,f530]) ).

fof(f530,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f59,f423]) ).

fof(f542,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f531,f1]) ).

fof(f531,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f423]) ).

fof(f423,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f59,f2]) ).

fof(f425,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f59,f3]) ).

fof(f59,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f32,axiom,
    ( sk_c5 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

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

fof(f20,axiom,
    ( sk_c5 = inverse(sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

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

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

fof(f4423,plain,
    ( sk_c5 != sk_c6
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f1558,f4199]) ).

fof(f4199,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4191,f197]) ).

fof(f197,plain,
    ( sk_c5 = inverse(sk_c3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f195,plain,
    ( spl0_6
  <=> sk_c5 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f4191,plain,
    ( sk_c5 = multiply(inverse(sk_c3),sk_c7)
    | spl0_2 ),
    inference(superposition,[],[f59,f4003]) ).

fof(f4422,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4421]) ).

fof(f4421,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f2874,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f2874,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_5
    | spl0_8 ),
    inference(forward_demodulation,[],[f2866,f646]) ).

fof(f646,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f608,f193]) ).

fof(f193,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f191,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2866,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | spl0_8 ),
    inference(superposition,[],[f59,f2846]) ).

fof(f4420,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4419]) ).

fof(f4419,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4418,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4418,plain,
    ( sk_c5 = sk_c6
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f4417,f1]) ).

fof(f4417,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2846,f4242]) ).

fof(f4242,plain,
    ( identity = sk_c7
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4236,f2]) ).

fof(f4236,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f4199]) ).

fof(f4416,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4415]) ).

fof(f4415,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4414,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4414,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2847,f4242]) ).

fof(f4413,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4412]) ).

fof(f4412,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4411,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4411,plain,
    ( sk_c5 = sk_c6
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f4410,f1]) ).

fof(f4410,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2848,f4242]) ).

fof(f4409,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4408]) ).

fof(f4408,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4407,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4407,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2849,f4242]) ).

fof(f4406,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4405]) ).

fof(f4405,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4404,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4404,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2850,f4242]) ).

fof(f4403,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4402]) ).

fof(f4402,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4401,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4401,plain,
    ( sk_c5 = sk_c6
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f4400,f1]) ).

fof(f4400,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2851,f4242]) ).

fof(f4399,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4398]) ).

fof(f4398,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f2862,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f2862,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_5
    | spl0_8 ),
    inference(superposition,[],[f706,f2846]) ).

fof(f706,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f575,f193]) ).

fof(f4397,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4396]) ).

fof(f4396,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4395,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4395,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4394,f4149]) ).

fof(f4149,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f193]) ).

fof(f4394,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2019,f4263]) ).

fof(f4263,plain,
    ( sk_c4 = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4254,f574]) ).

fof(f4254,plain,
    ( sk_c2 = multiply(sk_c4,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f4140,f4242]) ).

fof(f4140,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4005,f1492]) ).

fof(f1492,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f647,f646]) ).

fof(f647,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f608,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f4005,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f15,f42]) ).

fof(f2019,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f2017]) ).

fof(f2017,plain,
    ( spl0_10
  <=> sk_c6 = multiply(sk_c7,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f4393,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4392]) ).

fof(f4392,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4391,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4391,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2025,f4263]) ).

fof(f2025,plain,
    ( multiply(sk_c4,sk_c6) = sk_c2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f706,f2019]) ).

fof(f4390,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4389]) ).

fof(f4389,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4388,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4388,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2036,f4263]) ).

fof(f2036,plain,
    ( multiply(sk_c4,sk_c6) = sk_c2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2029,f646]) ).

fof(f2029,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_10 ),
    inference(superposition,[],[f59,f2019]) ).

fof(f4387,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4386]) ).

fof(f4386,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4385,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4385,plain,
    ( sk_c6 = multiply(sk_c5,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2276,f4263]) ).

fof(f2276,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f2019,f2023]) ).

fof(f2023,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f2021]) ).

fof(f2021,plain,
    ( spl0_11
  <=> sk_c5 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f4384,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4383]) ).

fof(f4383,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4382,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4382,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4381,f4263]) ).

fof(f4381,plain,
    ( multiply(sk_c4,sk_c6) = sk_c2
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3780,f1492]) ).

fof(f3780,plain,
    ( sk_c2 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3777,f647]) ).

fof(f3777,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_10 ),
    inference(superposition,[],[f59,f2019]) ).

fof(f4380,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4379]) ).

fof(f4379,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4267,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4267,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4266,f4149]) ).

fof(f4266,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f2019,f4263]) ).

fof(f4378,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4377]) ).

fof(f4377,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4376,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4376,plain,
    ( sk_c6 = multiply(sk_c5,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3985,f4263]) ).

fof(f3985,plain,
    ( sk_c6 = multiply(sk_c5,sk_c2)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2019,f2023]) ).

fof(f4375,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4374]) ).

fof(f4374,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4284,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4284,plain,
    ( identity != sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4273,f921]) ).

fof(f921,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f797,f185]) ).

fof(f185,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f797,plain,
    ( identity = inverse(multiply(sk_c7,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f672,f187]) ).

fof(f187,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f186,f1]) ).

fof(f186,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f185]) ).

fof(f4273,plain,
    ( sk_c5 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f42,f4267]) ).

fof(f4373,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4372]) ).

fof(f4372,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4281,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4281,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4280,f1]) ).

fof(f4280,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4272,f4242]) ).

fof(f4272,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1563,f4267]) ).

fof(f1563,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f1561]) ).

fof(f1561,plain,
    ( spl0_9
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f4371,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4370]) ).

fof(f4370,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4369,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4369,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4251,f4263]) ).

fof(f4251,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f2019,f4242]) ).

fof(f4368,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4367]) ).

fof(f4367,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4366,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4366,plain,
    ( sk_c4 = multiply(sk_c3,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4064,f4263]) ).

fof(f4064,plain,
    ( sk_c2 = multiply(sk_c3,sk_c6)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4060,f1461]) ).

fof(f1461,plain,
    ( sk_c3 = inverse(sk_c5)
    | ~ spl0_6 ),
    inference(superposition,[],[f608,f197]) ).

fof(f4060,plain,
    ( sk_c2 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f59,f3985]) ).

fof(f4365,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4364]) ).

fof(f4364,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f4363,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4363,plain,
    ( sk_c4 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4362,f4263]) ).

fof(f4362,plain,
    ( multiply(sk_c4,sk_c6) = sk_c2
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4186,f1492]) ).

fof(f4186,plain,
    ( sk_c2 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f4182,f647]) ).

fof(f4182,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_10 ),
    inference(superposition,[],[f59,f2019]) ).

fof(f4361,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4360]) ).

fof(f4360,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4359,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4359,plain,
    ( sk_c6 = multiply(identity,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4101,f4263]) ).

fof(f4101,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f3985,f4097]) ).

fof(f4097,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4096,f921]) ).

fof(f4096,plain,
    ( sk_c5 = inverse(identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f4017,f4091]) ).

fof(f4091,plain,
    ( identity = sk_c4
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4086,f573]) ).

fof(f4086,plain,
    ( sk_c4 = multiply(sk_c5,inverse(sk_c5))
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f1052,f4080]) ).

fof(f4080,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4004,f4038]) ).

fof(f4038,plain,
    ( sk_c4 = sk_c3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f4016,f1461]) ).

fof(f4016,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f646,f2023]) ).

fof(f4004,plain,
    ( sk_c5 = multiply(sk_c3,sk_c5)
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4003,f2023]) ).

fof(f4017,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f193,f2023]) ).

fof(f4358,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4357]) ).

fof(f4357,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4356,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4356,plain,
    ( identity = sk_c5
    | spl0_2
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2023,f4242]) ).

fof(f4355,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4354]) ).

fof(f4354,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4353,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4353,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2485,f1492]) ).

fof(f2485,plain,
    ( sk_c5 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f39,f2023]) ).

fof(f4352,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4351]) ).

fof(f4351,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f2269,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f2269,plain,
    ( sk_c5 = multiply(sk_c6,sk_c5)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1563,f2023]) ).

fof(f4350,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4349]) ).

fof(f4349,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4348,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4348,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3929,f1492]) ).

fof(f3929,plain,
    ( sk_c1 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f647,f2023]) ).

fof(f4347,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4346]) ).

fof(f4346,plain,
    ( $false
    | spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3931,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f3931,plain,
    ( sk_c5 = multiply(sk_c6,sk_c5)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f1563,f2023]) ).

fof(f4345,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4344]) ).

fof(f4344,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4038,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4343,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4342]) ).

fof(f4342,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4341,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4341,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4096,f921]) ).

fof(f4340,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4339]) ).

fof(f4339,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4097,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4338,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4337]) ).

fof(f4337,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4016,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4336,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4335]) ).

fof(f4335,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4017,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4334,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4333]) ).

fof(f4333,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4107,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4107,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4099,f921]) ).

fof(f4099,plain,
    ( sk_c3 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f1461,f4097]) ).

fof(f4332,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4331]) ).

fof(f4331,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4330,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4330,plain,
    ( sk_c4 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3963,f1492]) ).

fof(f3963,plain,
    ( sk_c1 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f608,f2485]) ).

fof(f4329,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4328]) ).

fof(f4328,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4091,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4327,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4326]) ).

fof(f4326,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f4092,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4092,plain,
    ( identity = inverse(sk_c4)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4087,f573]) ).

fof(f4087,plain,
    ( inverse(sk_c4) = multiply(sk_c5,inverse(sk_c5))
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f957,f4080]) ).

fof(f4325,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4324]) ).

fof(f4324,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4323,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4323,plain,
    ( sk_c5 = sk_c6
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4322,f4199]) ).

fof(f4322,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | spl0_2 ),
    inference(subsumption_resolution,[],[f5,f42]) ).

fof(f4321,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4320]) ).

fof(f4320,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4319,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4319,plain,
    ( sk_c5 = sk_c6
    | spl0_2
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f4318]) ).

fof(f4318,plain,
    ( sk_c5 = sk_c6
    | sk_c5 = sk_c6
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4317,f4199]) ).

fof(f4317,plain,
    ( sk_c5 = sk_c6
    | multiply(sk_c5,sk_c7) = sk_c6
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4316,f1]) ).

fof(f4316,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | multiply(sk_c5,sk_c7) = sk_c6
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6,f4242]) ).

fof(f4315,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4314]) ).

fof(f4314,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4313,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4313,plain,
    ( sk_c5 = sk_c6
    | identity = multiply(sk_c4,sk_c6)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4312,f4199]) ).

fof(f4312,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | multiply(sk_c5,sk_c7) = sk_c6
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f8,f4242]) ).

fof(f4311,plain,
    ( spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f4310]) ).

fof(f4310,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f4250,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4250,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1563,f4242]) ).

fof(f4309,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4308]) ).

fof(f4308,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4307,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4307,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4288,f4242]) ).

fof(f4288,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4287,f4149]) ).

fof(f4287,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f13,f4263]) ).

fof(f4306,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f4305]) ).

fof(f4305,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f4304,f1,f2,f20,f3,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f23,f24,f19,f14,f9,f6,f8,f16,f21,f42,f12,f27,f4139,f26,f4141,f28,f4142,f11,f13,f3891,f4003,f4192]) ).

fof(f4304,plain,
    ( sk_c5 = sk_c6
    | identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4303,f1]) ).

fof(f4303,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4294,f4242]) ).

fof(f4294,plain,
    ( identity = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4293,f4149]) ).

fof(f4293,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f11,f4263]) ).

fof(f4302,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f4301]) ).

fof(f4301,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f185,f187,f32,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1263,f1172,f1143,f1007,f995,f993,f981,f1405,f1406,f932,f922,f790,f788,f777,f860,f1419,f760,f707,f668,f571,f570,f529,f528,f446,f444,f430,f429,f30,f33,f31,f29,f197,f1479,f1480,f1491,f1489,f667,f1540,f4,f706,f1171,f1750,f1753,f1754,f1756,f1488,f1817,f1820,f1821,f1823,f1924,f2471,f2481,f1487,f1144,f1755,f1335,f1668,f1669,f1006,f1822,f1675,f1310,f22,f2903,f17,f7,f2911,f18,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f5,f10,f15,f25,f35,f3690,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f1462,f23,f2922,f1407,f931,f24,f19,f14,f9,f6,f8,f16,f21,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f42,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1454,f3810,f3704,f3822,f1492,f4020,f4019,f4136,f4137,f12,f27,f4139,f26,f4141,f28,f4142,f4143,f4144,f4145,f4146,f11,f13,f3891,f193,f4150,f4163,f4154,f4155,f4156,f4157,f4158,f4159,f646,f4166,f4167,f4178,f4171,f4172,f4174,f4175,f4176,f4003,f4193,f4196,f4198,f4192,f4140,f4206,f4207,f4202,f4208,f4204,f4149,f4222,f4199,f4239,f4240,f4241,f4237,f4242,f4257,f4258,f4262,f4255,f4263,f4286,f4300]) ).

fof(f4300,plain,
    ( identity != sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f4299,f4149]) ).

fof(f4299,plain,
    ( sk_c6 != multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f2018,f4263]) ).

fof(f2018,plain,
    ( sk_c6 != multiply(sk_c7,sk_c2)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f2017]) ).

fof(f4286,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4285,f4149]) ).

fof(f4285,plain,
    ( sk_c6 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3891,f4263]) ).

fof(f4255,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f4149,f4242]) ).

fof(f4262,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4253,f1492]) ).

fof(f4253,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f3704,f4242]) ).

fof(f4258,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4248,f921]) ).

fof(f4248,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f647,f4242]) ).

fof(f4257,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4247,f921]) ).

fof(f4247,plain,
    ( sk_c4 = inverse(identity)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f646,f4242]) ).

fof(f4237,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f4199]) ).

fof(f4241,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,sk_c3))
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4235,f1461]) ).

fof(f4235,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,inverse(sk_c5)))
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f672,f4199]) ).

fof(f4240,plain,
    ( sk_c3 = multiply(sk_c7,sk_c3)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4234,f1461]) ).

fof(f4234,plain,
    ( inverse(sk_c5) = multiply(sk_c7,inverse(sk_c5))
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f957,f4199]) ).

fof(f4239,plain,
    ( sk_c5 = multiply(sk_c5,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4238,f1492]) ).

fof(f4238,plain,
    ( sk_c5 = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4233,f647]) ).

fof(f4233,plain,
    ( sk_c5 = multiply(sk_c5,inverse(sk_c7))
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f1052,f4199]) ).

fof(f4222,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4213,f1]) ).

fof(f4213,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f4149]) ).

fof(f4204,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c2,X0)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f4140]) ).

fof(f4208,plain,
    ( sk_c7 = multiply(sk_c7,sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4203,f193]) ).

fof(f4203,plain,
    ( sk_c7 = multiply(inverse(sk_c4),sk_c2)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f4140]) ).

fof(f4202,plain,
    ( identity = multiply(sk_c4,multiply(sk_c7,inverse(sk_c2)))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f672,f4140]) ).

fof(f4207,plain,
    ( sk_c7 = multiply(sk_c7,inverse(sk_c2))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4201,f193]) ).

fof(f4201,plain,
    ( inverse(sk_c4) = multiply(sk_c7,inverse(sk_c2))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f957,f4140]) ).

fof(f4206,plain,
    ( sk_c4 = multiply(sk_c2,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4205,f1492]) ).

fof(f4205,plain,
    ( sk_c4 = multiply(sk_c2,sk_c1)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4200,f647]) ).

fof(f4200,plain,
    ( sk_c4 = multiply(sk_c2,inverse(sk_c7))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f1052,f4140]) ).

fof(f4198,plain,
    ( identity = multiply(sk_c3,multiply(sk_c5,sk_c4))
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4197,f1492]) ).

fof(f4197,plain,
    ( identity = multiply(sk_c3,multiply(sk_c5,sk_c1))
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f4190,f647]) ).

fof(f4190,plain,
    ( identity = multiply(sk_c3,multiply(sk_c5,inverse(sk_c7)))
    | spl0_2 ),
    inference(superposition,[],[f672,f4003]) ).

fof(f4196,plain,
    ( sk_c5 = multiply(sk_c5,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4195,f197]) ).

fof(f4195,plain,
    ( inverse(sk_c3) = multiply(sk_c5,sk_c4)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4194,f1492]) ).

fof(f4194,plain,
    ( inverse(sk_c3) = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_demodulation,[],[f4189,f647]) ).

fof(f4189,plain,
    ( inverse(sk_c3) = multiply(sk_c5,inverse(sk_c7))
    | spl0_2 ),
    inference(superposition,[],[f957,f4003]) ).

fof(f4193,plain,
    ( sk_c3 = multiply(sk_c7,sk_c3)
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f4188,f1461]) ).

fof(f4188,plain,
    ( sk_c3 = multiply(sk_c7,inverse(sk_c5))
    | spl0_2 ),
    inference(superposition,[],[f1052,f4003]) ).

fof(f4176,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1168,f646]) ).

fof(f4175,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1052,f646]) ).

fof(f4174,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f961,f646]) ).

fof(f4172,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f575,f646]) ).

fof(f4171,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f573,f646]) ).

fof(f4178,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4170,f608]) ).

fof(f4170,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f530,f646]) ).

fof(f4167,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f646]) ).

fof(f4166,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f646]) ).

fof(f4159,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1168,f193]) ).

fof(f4158,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1052,f193]) ).

fof(f4157,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f961,f193]) ).

fof(f4156,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f608,f193]) ).

fof(f4155,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f575,f193]) ).

fof(f4154,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f573,f193]) ).

fof(f4163,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f4153,f608]) ).

fof(f4153,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f530,f193]) ).

fof(f4150,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f193]) ).

fof(f4146,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f185,f187,f32,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1263,f1172,f1143,f1007,f995,f993,f981,f1405,f1406,f932,f922,f790,f788,f777,f860,f1419,f760,f707,f668,f571,f570,f529,f528,f446,f444,f430,f429,f30,f33,f31,f29,f1479,f1480,f1491,f1489,f667,f1540,f4,f706,f1171,f1750,f1753,f1754,f1756,f1488,f1817,f1820,f1821,f1823,f1924,f2471,f2481,f1487,f1144,f1755,f1335,f1668,f1669,f1006,f1822,f1675,f1310,f22,f2903,f17,f7,f2911,f18,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f13,f23,f2922,f1407,f931,f24,f19,f14,f9,f11,f6,f8,f16,f21,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f42,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f3704,f3822,f1492,f4020,f4019,f193,f646,f4136,f4137,f12,f27,f4139,f4140,f4003,f26,f4141,f28,f4142,f4143,f4144,f4145]) ).

fof(f4145,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f18,f1492]) ).

fof(f4144,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f185,f187,f32,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1263,f1172,f1143,f1007,f995,f993,f981,f1405,f1406,f932,f922,f790,f788,f777,f860,f1419,f760,f707,f668,f571,f570,f529,f528,f446,f444,f430,f429,f30,f33,f31,f29,f1479,f1480,f1491,f1489,f667,f1540,f4,f706,f1171,f1750,f1753,f1754,f1756,f1488,f1817,f1820,f1821,f1823,f1924,f2471,f2481,f1487,f1144,f1755,f1335,f1668,f1669,f1006,f1822,f1675,f1310,f22,f2903,f17,f7,f2911,f18,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f5,f10,f15,f25,f35,f3690,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f13,f23,f2922,f1407,f931,f24,f19,f14,f9,f11,f6,f8,f16,f21,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f42,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f3704,f3822,f1492,f4020,f4019,f193,f646,f4136,f4137,f12,f27,f4139,f4140,f4003,f26,f4141,f28,f4142,f4143]) ).

fof(f4143,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f16,f1492]) ).

fof(f4137,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f4136,f1,f2,f20,f3,f27,f12,f32,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1263,f993,f981,f1405,f1406,f932,f922,f788,f777,f860,f1419,f760,f570,f528,f444,f430,f30,f33,f31,f29,f1479,f1480,f1491,f1489,f667,f1540,f4,f706,f1171,f1750,f1753,f1754,f1756,f1488,f1817,f1820,f1821,f1823,f1487,f1144,f1755,f1335,f1668,f1669,f1006,f1822,f1675,f1310,f22,f17,f7,f18,f5,f10,f15,f25,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f28,f13,f23,f24,f19,f14,f9,f11,f6,f8,f16,f21,f193,f646]) ).

fof(f4136,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f17,f1492]) ).

fof(f4019,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f3704,f1492]) ).

fof(f4020,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f39,f1492]) ).

fof(f3822,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f3815,f1]) ).

fof(f3815,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f3704]) ).

fof(f3704,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f3810,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3803,f1]) ).

fof(f3803,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c3,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f1454]) ).

fof(f1454,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f197]) ).

fof(f3755,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c5) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f1168,f1461]) ).

fof(f3754,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c3) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f1052,f1461]) ).

fof(f3753,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c3,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f961,f1461]) ).

fof(f3751,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f575,f1461]) ).

fof(f3750,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f573,f1461]) ).

fof(f3757,plain,
    ( identity = multiply(sk_c3,sk_c5)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3749,f608]) ).

fof(f3749,plain,
    ( identity = multiply(inverse(inverse(sk_c3)),sk_c5)
    | ~ spl0_6 ),
    inference(superposition,[],[f530,f1461]) ).

fof(f3746,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c5,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f1461]) ).

fof(f3745,plain,
    ( identity = multiply(sk_c3,sk_c5)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f1461]) ).

fof(f3726,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1168,f647]) ).

fof(f3725,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1052,f647]) ).

fof(f3724,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f961,f647]) ).

fof(f3722,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f575,f647]) ).

fof(f3721,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f573,f647]) ).

fof(f3728,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f3720,f608]) ).

fof(f3720,plain,
    ( identity = multiply(inverse(inverse(sk_c1)),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f530,f647]) ).

fof(f3717,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f647]) ).

fof(f3716,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f647]) ).

fof(f3714,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1168,f39]) ).

fof(f3713,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1052,f39]) ).

fof(f3712,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f961,f39]) ).

fof(f3711,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f608,f39]) ).

fof(f3710,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f575,f39]) ).

fof(f3709,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f573,f39]) ).

fof(f3715,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f3708,f608]) ).

fof(f3708,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f530,f39]) ).

fof(f3707,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f433,f39]) ).

fof(f3706,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f423,f39]) ).

fof(f3705,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f39]) ).

fof(f931,plain,
    ( identity = inverse(identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f807,f185]) ).

fof(f807,plain,
    ( identity = inverse(multiply(sk_c7,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f187,f672]) ).

fof(f1407,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f974,f1052]) ).

fof(f974,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c1,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f957,f187]) ).

fof(f2922,plain,
    ( sk_c1 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f608,f39]) ).

fof(f1462,plain,
    ( ! [X0] : sk_c3 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_6 ),
    inference(superposition,[],[f961,f197]) ).

fof(f1457,plain,
    ( ! [X0] : multiply(inverse(sk_c5),X0) = multiply(sk_c3,X0)
    | ~ spl0_6 ),
    inference(superposition,[],[f433,f197]) ).

fof(f1464,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c3) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f1168,f197]) ).

fof(f1463,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c3),sk_c5) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f1052,f197]) ).

fof(f1460,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c5,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f575,f197]) ).

fof(f1455,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f197]) ).

fof(f1456,plain,
    ( sk_c3 = multiply(inverse(sk_c5),identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f423,f197]) ).

fof(f1465,plain,
    ( identity = multiply(sk_c5,sk_c3)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1458,f608]) ).

fof(f1458,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c3)
    | ~ spl0_6 ),
    inference(superposition,[],[f530,f197]) ).

fof(f1459,plain,
    ( identity = multiply(sk_c3,sk_c5)
    | ~ spl0_6 ),
    inference(superposition,[],[f573,f197]) ).

fof(f2925,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1168,f39]) ).

fof(f2924,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1052,f39]) ).

fof(f2923,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f961,f39]) ).

fof(f2921,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f575,f39]) ).

fof(f2920,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f573,f39]) ).

fof(f2926,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2919,f608]) ).

fof(f2919,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f530,f39]) ).

fof(f2918,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f433,f39]) ).

fof(f2917,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f423,f39]) ).

fof(f2916,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f39]) ).

fof(f2915,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f2911,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1399,f1401,f1402,f1312,f1311,f1281,f1275,f1264,f1172,f1143,f1403,f1138,f1007,f995,f981,f1405,f1409,f1410,f1014,f935,f934,f931,f925,f924,f921,f790,f777,f860,f1419,f760,f719,f715,f707,f673,f669,f668,f1421,f619,f1422,f611,f571,f551,f548,f529,f446,f429,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f6,f8,f16,f18,f39,f647,f1407,f22,f2903,f17,f7,f21,f23]) ).

fof(f2903,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f17,f12,f7,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1399,f1401,f1402,f1312,f1311,f1281,f1275,f1264,f1172,f1143,f1403,f1138,f1007,f995,f981,f1405,f1409,f1410,f1014,f935,f934,f931,f925,f924,f921,f790,f777,f860,f1419,f760,f719,f715,f707,f673,f669,f668,f1421,f619,f1422,f611,f571,f551,f548,f529,f446,f429,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f6,f8,f16,f18,f23,f21,f39,f647,f1407,f22]) ).

fof(f1310,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f961,f193]) ).

fof(f1675,plain,
    ( ! [X0] : sk_c4 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f1052,f706]) ).

fof(f1822,plain,
    ( ! [X0] : sk_c4 = multiply(inverse(multiply(X0,sk_c7)),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f1488]) ).

fof(f1006,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f201,f957]) ).

fof(f1669,plain,
    ( ! [X0] : multiply(sk_c4,X0) = inverse(multiply(inverse(X0),sk_c7))
    | ~ spl0_5 ),
    inference(superposition,[],[f706,f961]) ).

fof(f1668,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c4,inverse(X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f706,f957]) ).

fof(f1335,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c4))
    | ~ spl0_5 ),
    inference(superposition,[],[f201,f961]) ).

fof(f1755,plain,
    ( ! [X0] : sk_c7 = multiply(inverse(multiply(X0,sk_c4)),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f1171]) ).

fof(f1144,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f1052,f201]) ).

fof(f1487,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c4,X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f961,f646]) ).

fof(f2481,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f647,f646]) ).

fof(f2471,plain,
    ( sk_c4 = sk_c1
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1407,f646]) ).

fof(f1924,plain,
    ( identity = sk_c2
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1923,f667]) ).

fof(f1923,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f14,f1492]) ).

fof(f1823,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c7),multiply(sk_c4,X1))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f1488]) ).

fof(f1821,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c7),multiply(sk_c4,inverse(X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f672,f1488]) ).

fof(f1820,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c7)) = multiply(sk_c4,inverse(X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f957,f1488]) ).

fof(f1817,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c7)),sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f1488,f3]) ).

fof(f1488,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1052,f646]) ).

fof(f1756,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c4),multiply(sk_c7,X1))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f1171]) ).

fof(f1754,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c4),multiply(sk_c7,inverse(X0)))
    | ~ spl0_5 ),
    inference(superposition,[],[f672,f1171]) ).

fof(f1753,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c4)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f957,f1171]) ).

fof(f1750,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c4)),sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f1171,f3]) ).

fof(f1171,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1052,f193]) ).

fof(f1540,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1533,f1]) ).

fof(f1533,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f667]) ).

fof(f667,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f573,f193]) ).

fof(f1489,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c4),sk_c7) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1168,f646]) ).

fof(f1491,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1483,f608]) ).

fof(f1483,plain,
    ( identity = multiply(inverse(inverse(sk_c4)),sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f530,f646]) ).

fof(f1480,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f646]) ).

fof(f1479,plain,
    ( identity = multiply(sk_c4,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f646]) ).

fof(f429,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f187]) ).

fof(f430,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f201]) ).

fof(f444,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f59,f199]) ).

fof(f446,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f59,f185]) ).

fof(f528,plain,
    ( sk_c4 = multiply(inverse(sk_c7),identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f423,f193]) ).

fof(f529,plain,
    ( sk_c1 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f423,f39]) ).

fof(f570,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_5 ),
    inference(superposition,[],[f433,f193]) ).

fof(f571,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f433,f39]) ).

fof(f668,plain,
    ( identity = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f573,f39]) ).

fof(f707,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f575,f39]) ).

fof(f788,plain,
    ( identity = multiply(sk_c7,multiply(sk_c4,inverse(identity)))
    | ~ spl0_5 ),
    inference(superposition,[],[f672,f199]) ).

fof(f790,plain,
    ( identity = multiply(sk_c7,multiply(sk_c1,inverse(identity)))
    | ~ spl0_1 ),
    inference(superposition,[],[f672,f185]) ).

fof(f922,plain,
    ( identity = inverse(identity)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f798,f199]) ).

fof(f798,plain,
    ( identity = inverse(multiply(sk_c7,sk_c4))
    | ~ spl0_5 ),
    inference(superposition,[],[f672,f201]) ).

fof(f932,plain,
    ( identity = inverse(identity)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f808,f199]) ).

fof(f808,plain,
    ( identity = inverse(multiply(sk_c7,sk_c4))
    | ~ spl0_5 ),
    inference(superposition,[],[f201,f672]) ).

fof(f1406,plain,
    ( sk_c4 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f975,f1052]) ).

fof(f975,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c4,X0),inverse(X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f957,f201]) ).

fof(f993,plain,
    ( inverse(sk_c7) = multiply(sk_c4,inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f957,f199]) ).

fof(f995,plain,
    ( inverse(sk_c7) = multiply(sk_c1,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f957,f185]) ).

fof(f1007,plain,
    ( ! [X0] : multiply(sk_c7,inverse(X0)) = inverse(multiply(X0,sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f187,f957]) ).

fof(f1143,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1052,f187]) ).

fof(f1172,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1052,f39]) ).

fof(f1263,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c4) = X0
    | ~ spl0_5 ),
    inference(superposition,[],[f1168,f193]) ).

fof(f1264,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c1) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1168,f39]) ).

fof(f1311,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f961,f39]) ).

fof(f1336,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c1))
    | ~ spl0_1 ),
    inference(superposition,[],[f187,f961]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f200,f1]) ).

fof(f200,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f199]) ).

fof(f199,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f193]) ).

fof(f4283,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4282]) ).

fof(f4282,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4281,f4252]) ).

fof(f4252,plain,
    ( identity != sk_c5
    | spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(superposition,[],[f2022,f4242]) ).

fof(f2022,plain,
    ( sk_c5 != sk_c7
    | spl0_11 ),
    inference(avatar_component_clause,[],[f2021]) ).

fof(f4277,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4276]) ).

fof(f4276,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4269,f4252]) ).

fof(f4269,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f4231,f4267]) ).

fof(f4231,plain,
    ( sk_c5 = sk_c6
    | spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f4199,f1559]) ).

fof(f1559,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1557]) ).

fof(f4275,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4274]) ).

fof(f4274,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f4268,f4252]) ).

fof(f4268,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f4267,f4231]) ).

fof(f4135,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f4134]) ).

fof(f4134,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f4133,f4097]) ).

fof(f4133,plain,
    ( identity != sk_c5
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4128,f921]) ).

fof(f4128,plain,
    ( sk_c5 != inverse(identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f42,f4110]) ).

fof(f4110,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4109,f4097]) ).

fof(f4109,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4108,f2023]) ).

fof(f4108,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f4100,f1]) ).

fof(f4100,plain,
    ( sk_c6 = multiply(identity,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1559,f4097]) ).

fof(f3984,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3983]) ).

fof(f3983,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f2026,f2030,f22,f2903,f2029,f17,f7,f2911,f18,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f5,f10,f3687,f15,f3688,f25,f3689,f35,f3690,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f3693,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f3698,f11,f3699,f6,f8,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f42,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f2019,f3774,f3779,f3776,f3778,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3780,f3832,f3837,f3834,f3836,f3788,f3840,f3841,f3846,f3847,f3845,f3839,f3848,f3798,f3864,f3865,f3866,f3863,f3852,f3856,f2023,f3929,f3938,f3933,f3935,f3867,f3949,f3944,f3952,f3946,f2485,f3956,f3957,f3967,f3968,f3969,f3961,f3962,f3963,f3964,f3965,f3966,f3940,f3971,f3978,f3981,f3982]) ).

fof(f3982,plain,
    ( identity != sk_c1
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3856,f3940]) ).

fof(f3981,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3974,f921]) ).

fof(f3974,plain,
    ( sk_c3 = inverse(identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f1461,f3940]) ).

fof(f3978,plain,
    ( identity = multiply(sk_c3,identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3977,f3940]) ).

fof(f3977,plain,
    ( sk_c5 = multiply(sk_c3,identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3972,f2023]) ).

fof(f3972,plain,
    ( sk_c7 = multiply(sk_c3,identity)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f3593,f3940]) ).

fof(f3971,plain,
    ( identity = multiply(identity,sk_c3)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f1454,f3940]) ).

fof(f3940,plain,
    ( identity = sk_c5
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f3867,f2023]) ).

fof(f3966,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1168,f2485]) ).

fof(f3965,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c5) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f1052,f2485]) ).

fof(f3964,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f961,f2485]) ).

fof(f3962,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f575,f2485]) ).

fof(f3961,plain,
    ( identity = multiply(sk_c1,sk_c5)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f573,f2485]) ).

fof(f3969,plain,
    ( identity = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3960,f608]) ).

fof(f3960,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f530,f2485]) ).

fof(f3968,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3959,f1461]) ).

fof(f3959,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f433,f2485]) ).

fof(f3967,plain,
    ( sk_c1 = multiply(sk_c3,identity)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3958,f1461]) ).

fof(f3958,plain,
    ( sk_c1 = multiply(inverse(sk_c5),identity)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f423,f2485]) ).

fof(f3957,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f59,f2485]) ).

fof(f3956,plain,
    ( identity = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f2485]) ).

fof(f3946,plain,
    ( identity = multiply(identity,sk_c1)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3704,f3867]) ).

fof(f3952,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3945,f3848]) ).

fof(f3945,plain,
    ( sk_c2 = multiply(sk_c1,identity)
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3052,f3867]) ).

fof(f3944,plain,
    ( identity = sk_c5
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f2023,f3867]) ).

fof(f3949,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3941,f921]) ).

fof(f3941,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f647,f3867]) ).

fof(f3867,plain,
    ( identity = sk_c7
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3862,f2]) ).

fof(f3862,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f59,f3798]) ).

fof(f3935,plain,
    ( sk_c5 = multiply(sk_c5,sk_c5)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f3798,f2023]) ).

fof(f3933,plain,
    ( identity = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f3704,f2023]) ).

fof(f3938,plain,
    ( identity = multiply(sk_c1,sk_c5)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3932,f3848]) ).

fof(f3932,plain,
    ( sk_c2 = multiply(sk_c1,sk_c5)
    | spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f3052,f2023]) ).

fof(f3856,plain,
    ( sk_c5 != sk_c1
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f3852,f647]) ).

fof(f3852,plain,
    ( sk_c5 != inverse(sk_c7)
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f42,f3839]) ).

fof(f3863,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f3798]) ).

fof(f3866,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,sk_c3))
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3861,f1461]) ).

fof(f3861,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,inverse(sk_c5)))
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f672,f3798]) ).

fof(f3865,plain,
    ( sk_c3 = multiply(sk_c7,sk_c3)
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3860,f1461]) ).

fof(f3860,plain,
    ( inverse(sk_c5) = multiply(sk_c7,inverse(sk_c5))
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f957,f3798]) ).

fof(f3864,plain,
    ( sk_c5 = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3859,f647]) ).

fof(f3859,plain,
    ( sk_c5 = multiply(sk_c5,inverse(sk_c7))
    | spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f1052,f3798]) ).

fof(f3798,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3792,f197]) ).

fof(f3792,plain,
    ( sk_c5 = multiply(inverse(sk_c3),sk_c7)
    | spl0_5 ),
    inference(superposition,[],[f59,f3593]) ).

fof(f3848,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3844,f2]) ).

fof(f3844,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f59,f3788]) ).

fof(f3839,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f3788,f2019]) ).

fof(f3845,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f3,f3788]) ).

fof(f3847,plain,
    ( identity = multiply(sk_c7,multiply(sk_c2,sk_c1))
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3843,f647]) ).

fof(f3843,plain,
    ( identity = multiply(sk_c7,multiply(sk_c2,inverse(sk_c7)))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f672,f3788]) ).

fof(f3846,plain,
    ( sk_c1 = multiply(sk_c2,sk_c1)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3842,f647]) ).

fof(f3842,plain,
    ( inverse(sk_c7) = multiply(sk_c2,inverse(sk_c7))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f957,f3788]) ).

fof(f3841,plain,
    ( sk_c7 = multiply(sk_c7,inverse(sk_c2))
    | ~ spl0_1
    | spl0_5 ),
    inference(superposition,[],[f1052,f3788]) ).

fof(f3840,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f2019,f3788]) ).

fof(f3788,plain,
    ( sk_c7 = multiply(sk_c7,sk_c2)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3784,f39]) ).

fof(f3784,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c2)
    | spl0_5 ),
    inference(superposition,[],[f59,f3052]) ).

fof(f3836,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f3780]) ).

fof(f3834,plain,
    ( identity = multiply(sk_c1,multiply(sk_c6,inverse(sk_c2)))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f672,f3780]) ).

fof(f3837,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c2))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3833,f39]) ).

fof(f3833,plain,
    ( inverse(sk_c1) = multiply(sk_c6,inverse(sk_c2))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f957,f3780]) ).

fof(f3832,plain,
    ( sk_c1 = multiply(sk_c2,inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1052,f3780]) ).

fof(f3793,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | spl0_5 ),
    inference(superposition,[],[f3,f3593]) ).

fof(f3797,plain,
    ( identity = multiply(sk_c3,multiply(sk_c5,sk_c1))
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3791,f647]) ).

fof(f3791,plain,
    ( identity = multiply(sk_c3,multiply(sk_c5,inverse(sk_c7)))
    | spl0_5 ),
    inference(superposition,[],[f672,f3593]) ).

fof(f3796,plain,
    ( sk_c5 = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3795,f197]) ).

fof(f3795,plain,
    ( inverse(sk_c3) = multiply(sk_c5,sk_c1)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3790,f647]) ).

fof(f3790,plain,
    ( inverse(sk_c3) = multiply(sk_c5,inverse(sk_c7))
    | spl0_5 ),
    inference(superposition,[],[f957,f3593]) ).

fof(f3794,plain,
    ( sk_c3 = multiply(sk_c7,sk_c3)
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3789,f1461]) ).

fof(f3789,plain,
    ( sk_c3 = multiply(sk_c7,inverse(sk_c5))
    | spl0_5 ),
    inference(superposition,[],[f1052,f3593]) ).

fof(f3593,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f27,f192]) ).

fof(f3785,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c2,X0)
    | spl0_5 ),
    inference(superposition,[],[f3,f3052]) ).

fof(f3783,plain,
    ( identity = multiply(sk_c1,multiply(sk_c7,inverse(sk_c2)))
    | spl0_5 ),
    inference(superposition,[],[f672,f3052]) ).

fof(f3787,plain,
    ( sk_c7 = multiply(sk_c7,inverse(sk_c2))
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3782,f39]) ).

fof(f3782,plain,
    ( inverse(sk_c1) = multiply(sk_c7,inverse(sk_c2))
    | spl0_5 ),
    inference(superposition,[],[f957,f3052]) ).

fof(f3786,plain,
    ( sk_c1 = multiply(sk_c2,sk_c1)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3781,f647]) ).

fof(f3781,plain,
    ( sk_c1 = multiply(sk_c2,inverse(sk_c7))
    | spl0_5 ),
    inference(superposition,[],[f1052,f3052]) ).

fof(f3052,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f17,f192]) ).

fof(f3778,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f2019]) ).

fof(f3776,plain,
    ( identity = multiply(sk_c7,multiply(sk_c2,inverse(sk_c6)))
    | ~ spl0_10 ),
    inference(superposition,[],[f672,f2019]) ).

fof(f3779,plain,
    ( sk_c1 = multiply(sk_c2,inverse(sk_c6))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3775,f647]) ).

fof(f3775,plain,
    ( inverse(sk_c7) = multiply(sk_c2,inverse(sk_c6))
    | ~ spl0_10 ),
    inference(superposition,[],[f957,f2019]) ).

fof(f3774,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c2))
    | ~ spl0_10 ),
    inference(superposition,[],[f1052,f2019]) ).

fof(f3451,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | spl0_5 ),
    inference(subsumption_resolution,[],[f7,f192]) ).

fof(f3703,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f5,f10,f15,f3688,f25,f3689,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f3691,f28,f3692,f3593,f3052,f3060,f13,f23,f3694,f3089,f24,f3695,f19,f14,f9,f11,f6,f8,f16,f3702,f21]) ).

fof(f3702,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f21,f5,f10,f15,f3688,f25,f3689,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f3691,f28,f3692,f3593,f3052,f3060,f13,f23,f3694,f3089,f24,f3695,f19,f14,f9,f11,f6,f8,f16]) ).

fof(f3699,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2026,f2030,f22,f2029,f17,f7,f18,f21,f16,f8,f6,f5,f10,f3687,f15,f25,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f28,f13,f3693,f23,f2019,f24,f19,f14,f9,f3698,f11]) ).

fof(f3698,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2026,f2030,f22,f2029,f17,f7,f18,f21,f16,f8,f6,f11,f5,f10,f3687,f15,f25,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f28,f13,f3693,f23,f2019,f24,f19,f14,f9]) ).

fof(f3695,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f5,f10,f15,f3688,f25,f3689,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f3691,f28,f3692,f3593,f3052,f3060,f13,f23,f3694,f3089,f24]) ).

fof(f3089,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f22,f192]) ).

fof(f3694,plain,
    ( sk_c7 = inverse(sk_c1)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f5,f10,f15,f3688,f25,f3689,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f3691,f28,f3692,f3593,f3052,f3060,f13,f23]) ).

fof(f3693,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2026,f2030,f22,f2029,f17,f7,f18,f21,f16,f8,f6,f11,f9,f14,f19,f24,f2019,f23,f5,f10,f3687,f15,f25,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f28,f13]) ).

fof(f3060,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f12,f192]) ).

fof(f3692,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f5,f10,f15,f3688,f25,f3689,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f3691,f28]) ).

fof(f3691,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f5,f10,f15,f3688,f25,f3689,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26]) ).

fof(f3689,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f5,f10,f15,f3688,f25]) ).

fof(f3688,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_5 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f22,f17,f7,f18,f192,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25,f5,f10,f15]) ).

fof(f3687,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2026,f2030,f22,f2029,f17,f7,f18,f21,f16,f8,f6,f11,f9,f14,f19,f24,f2019,f23,f13,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25,f15,f5,f10]) ).

fof(f192,plain,
    ( sk_c7 != inverse(sk_c4)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f2030,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f2019]) ).

fof(f2026,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c2))
    | ~ spl0_10 ),
    inference(superposition,[],[f1052,f2019]) ).

fof(f3919,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3918]) ).

fof(f3918,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897,f3902,f3905,f3880,f3913,f2485,f2023]) ).

fof(f3913,plain,
    ( sk_c5 = multiply(sk_c5,sk_c5)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2268,f3857]) ).

fof(f2268,plain,
    ( sk_c6 = multiply(sk_c5,sk_c5)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f1559,f2023]) ).

fof(f3880,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3879,f3857]) ).

fof(f3879,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f3060,f3788]) ).

fof(f3905,plain,
    ( sk_c5 = multiply(sk_c7,sk_c5)
    | sk_c5 = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3884,f3857]) ).

fof(f3884,plain,
    ( sk_c5 = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3883,f3857]) ).

fof(f3883,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f11,f3788]) ).

fof(f3902,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c5 = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3888,f3857]) ).

fof(f3888,plain,
    ( sk_c5 = sk_c7
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3887,f3857]) ).

fof(f3887,plain,
    ( sk_c7 = sk_c6
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f13,f3788]) ).

fof(f3897,plain,
    ( sk_c5 != sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(forward_demodulation,[],[f3896,f3857]) ).

fof(f3896,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | spl0_5
    | spl0_10 ),
    inference(forward_demodulation,[],[f2018,f3788]) ).

fof(f3857,plain,
    ( sk_c5 = sk_c6
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3798,f1559]) ).

fof(f3858,plain,
    ( sk_c5 = sk_c6
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1559,f3798]) ).

fof(f3827,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f3765]) ).

fof(f3830,plain,
    ( identity = multiply(sk_c3,multiply(sk_c6,sk_c1))
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3825,f647]) ).

fof(f3825,plain,
    ( identity = multiply(sk_c3,multiply(sk_c6,inverse(sk_c7)))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f3765]) ).

fof(f3829,plain,
    ( sk_c5 = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3828,f197]) ).

fof(f3828,plain,
    ( inverse(sk_c3) = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3824,f647]) ).

fof(f3824,plain,
    ( inverse(sk_c3) = multiply(sk_c6,inverse(sk_c7))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f3765]) ).

fof(f3823,plain,
    ( sk_c3 = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1052,f3765]) ).

fof(f3765,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3761,f1461]) ).

fof(f3761,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f59,f1559]) ).

fof(f3762,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1559]) ).

fof(f3760,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,inverse(sk_c6)))
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f1559]) ).

fof(f3764,plain,
    ( sk_c3 = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3759,f1461]) ).

fof(f3759,plain,
    ( inverse(sk_c5) = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f1559]) ).

fof(f3763,plain,
    ( sk_c5 = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3758,f647]) ).

fof(f3758,plain,
    ( sk_c5 = multiply(sk_c6,inverse(sk_c7))
    | ~ spl0_8 ),
    inference(superposition,[],[f1052,f1559]) ).

fof(f3701,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f1569,f22,f17,f7,f2907,f18,f2913,f2914,f1559,f2951,f21,f16,f5,f3686,f10,f15,f25,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f28,f13,f23,f24,f19,f14,f9,f11,f6,f3700,f8]) ).

fof(f3700,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f1569,f22,f17,f7,f2907,f18,f2913,f2914,f1559,f2951,f21,f16,f8,f5,f3686,f10,f15,f25,f35,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f26,f28,f13,f23,f24,f19,f14,f9,f11,f6]) ).

fof(f3686,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f1569,f22,f17,f7,f2907,f18,f2913,f2914,f1559,f2951,f21,f16,f8,f6,f11,f9,f14,f19,f24,f23,f13,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25,f15,f10,f5]) ).

fof(f2951,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1559]) ).

fof(f2914,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f1559,f1569,f9,f22,f17,f7,f2907,f21,f23,f18,f16,f8,f2913,f6]) ).

fof(f2913,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f1559,f1569,f9,f6,f22,f17,f7,f2907,f21,f23,f18,f16,f8]) ).

fof(f2907,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f1559,f1569,f9,f6,f8,f16,f18,f23,f21,f22,f17,f7]) ).

fof(f1569,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1559]) ).

fof(f3917,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3916]) ).

fof(f3916,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897,f3902,f3905,f3880,f3913,f2485]) ).

fof(f3915,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3914]) ).

fof(f3914,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f2485,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897,f3902,f3905,f3880,f3913]) ).

fof(f3912,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3911]) ).

fof(f3911,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3910,f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f2485,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897,f3902,f3905,f3880]) ).

fof(f3910,plain,
    ( sk_c5 = multiply(sk_c5,sk_c5)
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2269,f3857]) ).

fof(f3909,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3908]) ).

fof(f3908,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f2485,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897,f3902,f3905,f3880]) ).

fof(f3907,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3906]) ).

fof(f3906,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f2485,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897,f3902,f3905]) ).

fof(f3904,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3903]) ).

fof(f3903,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f2485,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897,f3902]) ).

fof(f3901,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3900]) ).

fof(f3900,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f3893,f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f2485,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897]) ).

fof(f3893,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3892,f3857]) ).

fof(f3892,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(forward_demodulation,[],[f3891,f3788]) ).

fof(f3899,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3898]) ).

fof(f3898,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f185,f187,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1311,f1264,f1172,f1143,f1007,f995,f981,f1405,f790,f777,f860,f1419,f760,f707,f668,f571,f529,f446,f429,f30,f33,f31,f29,f197,f4,f1569,f2023,f22,f2903,f17,f7,f2907,f2911,f18,f2913,f2914,f2915,f2916,f2917,f2918,f2926,f2920,f2921,f2923,f2924,f2925,f192,f2951,f2485,f5,f3686,f10,f15,f3688,f25,f3689,f35,f1459,f1465,f548,f551,f611,f619,f669,f673,f1421,f1422,f924,f925,f934,f935,f1014,f1456,f1455,f1460,f1463,f1464,f422,f715,f719,f1312,f1399,f1401,f1402,f1409,f1410,f1138,f1403,f1275,f1281,f1457,f26,f3691,f28,f3692,f1462,f3060,f13,f23,f3694,f3089,f2922,f1407,f931,f24,f3695,f19,f14,f9,f11,f6,f3700,f8,f3701,f16,f3702,f21,f3703,f3451,f39,f3705,f3706,f3707,f3715,f3709,f3710,f3711,f3712,f3713,f3714,f647,f3716,f3717,f3728,f3721,f3722,f3724,f3725,f3726,f921,f1461,f3745,f3746,f3757,f3750,f3751,f3753,f3754,f3755,f1559,f3763,f3764,f3760,f3762,f3052,f3786,f3787,f3783,f3785,f3593,f3794,f3796,f3797,f3793,f1454,f3810,f3704,f3822,f3765,f3823,f3829,f3830,f3827,f3788,f3841,f3846,f3847,f3845,f3848,f3798,f3858,f3864,f3865,f3866,f3867,f3863,f3857,f3897]) ).

fof(f3895,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3894]) ).

fof(f3894,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3893,f2022]) ).

fof(f3882,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3881]) ).

fof(f3881,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3880,f2022]) ).

fof(f3877,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3876]) ).

fof(f3876,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3869,f2022]) ).

fof(f3869,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f3839,f3857]) ).

fof(f3875,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3874]) ).

fof(f3874,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3868,f2022]) ).

fof(f3868,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f3857,f3839]) ).

fof(f3685,plain,
    ( spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3684]) ).

fof(f3684,plain,
    ( $false
    | spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f42,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25,f15,f10,f5]) ).

fof(f3683,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3682]) ).

fof(f3682,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25,f15,f10,f5]) ).

fof(f3681,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3680]) ).

fof(f3680,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25,f15,f10]) ).

fof(f3679,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3678]) ).

fof(f3678,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25,f15]) ).

fof(f3677,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3676]) ).

fof(f3676,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f15,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35,f25]) ).

fof(f3675,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3674]) ).

fof(f3674,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f15,f25,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548,f35]) ).

fof(f3673,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3672]) ).

fof(f3672,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1461,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548]) ).

fof(f3671,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3670]) ).

fof(f3670,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1454,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548]) ).

fof(f3669,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3668]) ).

fof(f3668,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1459,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548]) ).

fof(f3667,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3666]) ).

fof(f3666,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1465,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548]) ).

fof(f3665,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3664]) ).

fof(f3664,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551,f548]) ).

fof(f3663,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3662]) ).

fof(f3662,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611,f551]) ).

fof(f3661,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3660]) ).

fof(f3660,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619,f611]) ).

fof(f3659,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3658]) ).

fof(f3658,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669,f619]) ).

fof(f3657,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3656]) ).

fof(f3656,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f619,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673,f669]) ).

fof(f3655,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3654]) ).

fof(f3654,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f669,f619,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421,f673]) ).

fof(f3653,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3652]) ).

fof(f3652,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f673,f669,f619,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422,f1421]) ).

fof(f3651,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3650]) ).

fof(f3650,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f673,f669,f1421,f619,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924,f1422]) ).

fof(f3649,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3648]) ).

fof(f3648,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925,f924]) ).

fof(f3647,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3646]) ).

fof(f3646,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934,f925]) ).

fof(f3645,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3644]) ).

fof(f3644,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935,f934]) ).

fof(f3643,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3642]) ).

fof(f3642,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014,f935]) ).

fof(f3641,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3640]) ).

fof(f3640,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422,f1014]) ).

fof(f3639,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3638]) ).

fof(f3638,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1456,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422]) ).

fof(f3637,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3636]) ).

fof(f3636,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1455,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422]) ).

fof(f3635,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3634]) ).

fof(f3634,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1460,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422]) ).

fof(f3633,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3632]) ).

fof(f3632,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1463,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422]) ).

fof(f3631,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3630]) ).

fof(f3630,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1464,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422]) ).

fof(f3629,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3628]) ).

fof(f3628,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715,f422]) ).

fof(f3627,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3626]) ).

fof(f3626,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719,f715]) ).

fof(f3625,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3624]) ).

fof(f3624,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312,f719]) ).

fof(f3623,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3622]) ).

fof(f3622,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399,f1312]) ).

fof(f3621,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3620]) ).

fof(f3620,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1312,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401,f1399]) ).

fof(f3619,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3618]) ).

fof(f3618,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1312,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402,f1401]) ).

fof(f3617,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3616]) ).

fof(f3616,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1312,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409,f1402]) ).

fof(f3615,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3614]) ).

fof(f3614,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f981,f1405,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410,f1409]) ).

fof(f3613,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3612]) ).

fof(f3612,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f981,f1405,f1409,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138,f1410]) ).

fof(f3611,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3610]) ).

fof(f3610,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403,f1138]) ).

fof(f3609,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3608]) ).

fof(f3608,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275,f1403]) ).

fof(f3607,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3606]) ).

fof(f3606,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281,f1275]) ).

fof(f3605,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3604]) ).

fof(f3604,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26,f1281]) ).

fof(f3603,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3602]) ).

fof(f3602,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1457,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26]) ).

fof(f3601,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3600]) ).

fof(f3600,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28,f26]) ).

fof(f3599,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3598]) ).

fof(f3598,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f26,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593,f28]) ).

fof(f3597,plain,
    ( spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3596]) ).

fof(f3596,plain,
    ( $false
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f1462,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593]) ).

fof(f3595,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3594]) ).

fof(f3594,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052,f3593]) ).

fof(f3592,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3591]) ).

fof(f3591,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060,f3052]) ).

fof(f3590,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3589]) ).

fof(f3589,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13,f3060]) ).

fof(f3588,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3587]) ).

fof(f3587,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23,f13]) ).

fof(f3586,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3585]) ).

fof(f3585,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089,f23]) ).

fof(f3584,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3583]) ).

fof(f3583,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24,f3089]) ).

fof(f3582,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3581]) ).

fof(f3581,plain,
    ( $false
    | spl0_5
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2019,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3580,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3579]) ).

fof(f3579,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f2922,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3578,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3577]) ).

fof(f3577,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1407,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3576,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3575]) ).

fof(f3575,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f931,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3574,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3573]) ).

fof(f3573,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f921,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3572,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3571]) ).

fof(f3571,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f647,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3570,plain,
    ( ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3569]) ).

fof(f3569,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f39,f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3568,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3567]) ).

fof(f3567,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19,f24]) ).

fof(f3566,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3565]) ).

fof(f3565,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14,f19]) ).

fof(f3564,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3563]) ).

fof(f3563,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9,f14]) ).

fof(f3562,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3561]) ).

fof(f3561,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f33,f31,f29,f4,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11,f9]) ).

fof(f3560,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3559]) ).

fof(f3559,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6,f11]) ).

fof(f3558,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3557]) ).

fof(f3557,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f23,f18,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8,f6]) ).

fof(f3556,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3555]) ).

fof(f3555,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f23,f18,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16,f8]) ).

fof(f3554,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3553]) ).

fof(f3553,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f23,f18,f8,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21,f16]) ).

fof(f3552,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3551]) ).

fof(f3551,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451,f21]) ).

fof(f3550,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3549]) ).

fof(f3549,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851,f3451]) ).

fof(f3548,plain,
    ( spl0_5
    | spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3547]) ).

fof(f3547,plain,
    ( $false
    | spl0_5
    | spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f2022,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851]) ).

fof(f3546,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3545]) ).

fof(f3545,plain,
    ( $false
    | spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f1563,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851]) ).

fof(f3544,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3543]) ).

fof(f3543,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850,f2851]) ).

fof(f3542,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3541]) ).

fof(f3541,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2851,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848,f2849,f2850]) ).

fof(f3540,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3539]) ).

fof(f3539,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2850,f2851,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848,f2849]) ).

fof(f3538,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3537]) ).

fof(f3537,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2849,f2850,f2851,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847,f2848]) ).

fof(f3536,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3535]) ).

fof(f3535,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2848,f2849,f2850,f2851,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846,f2847]) ).

fof(f3534,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3533]) ).

fof(f3533,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558,f2846]) ).

fof(f3532,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3531]) ).

fof(f3531,plain,
    ( $false
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192,f1558]) ).

fof(f3530,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3529]) ).

fof(f3529,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3528,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3528,plain,
    ( sk_c5 != sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f3527,f574]) ).

fof(f3527,plain,
    ( sk_c6 != multiply(sk_c5,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f1558,f2982]) ).

fof(f2982,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2906,f192]) ).

fof(f2906,plain,
    ( identity = sk_c7
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2905,f1447]) ).

fof(f1447,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f573,f43]) ).

fof(f43,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f2905,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | sk_c7 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f27,f1512]) ).

fof(f1512,plain,
    ( sk_c6 = sk_c3
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1461,f645]) ).

fof(f645,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f608,f43]) ).

fof(f3525,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3524]) ).

fof(f3524,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3523,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3523,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f3522,f1]) ).

fof(f3522,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2846,f2982]) ).

fof(f3521,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3520]) ).

fof(f3520,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3519,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3519,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2847,f2982]) ).

fof(f3518,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3517]) ).

fof(f3517,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3516,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3516,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f3515,f1]) ).

fof(f3515,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2848,f2982]) ).

fof(f3514,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3513]) ).

fof(f3513,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3512,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3512,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2849,f2982]) ).

fof(f3511,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3510]) ).

fof(f3510,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3509,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3509,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2850,f2982]) ).

fof(f3508,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3507]) ).

fof(f3507,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3506,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3506,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f3505,f1]) ).

fof(f3505,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2851,f2982]) ).

fof(f3504,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3503]) ).

fof(f3503,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3502,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3502,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f3501,f1]) ).

fof(f3501,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2854,f2982]) ).

fof(f2854,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f2853,f1,f2,f20,f3,f27,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8,f2847,f16,f2848,f18,f2849,f23,f2850,f21,f2851]) ).

fof(f2853,plain,
    ( identity = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2852,f1447]) ).

fof(f2852,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f26,f1512]) ).

fof(f3500,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3499]) ).

fof(f3499,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3498,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3498,plain,
    ( sk_c5 != sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3497,f574]) ).

fof(f3497,plain,
    ( sk_c6 != multiply(sk_c5,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2855,f2982]) ).

fof(f2855,plain,
    ( multiply(sk_c5,sk_c7) != sk_c6
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2587,f1,f2,f20,f3,f27,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8,f2847,f16,f2848,f18,f2849,f23,f2850,f21,f2851]) ).

fof(f2587,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f1441,f1563]) ).

fof(f1441,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f1,f2,f20,f43,f45,f3,f62,f103,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35]) ).

fof(f1440,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f20,f43,f45,f3,f62,f103,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25]) ).

fof(f1439,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f20,f43,f45,f3,f62,f103,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f25,f30,f1436,f5,f1437,f10,f1438,f15]) ).

fof(f1438,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f20,f43,f45,f3,f62,f103,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f25,f15,f30,f1436,f5,f1437,f10]) ).

fof(f1437,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f20,f43,f45,f3,f62,f103,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f25,f15,f10,f30,f1436,f5]) ).

fof(f1436,plain,
    ( sk_c5 = inverse(sk_c6)
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f35,f1,f2,f20,f43,f45,f3,f62,f103,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f25,f15,f10,f5,f30]) ).

fof(f103,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f35,f43]) ).

fof(f62,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f56,f1]) ).

fof(f56,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f45]) ).

fof(f45,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f3496,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3495]) ).

fof(f3495,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3494,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3494,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2858,f2982]) ).

fof(f2858,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f2857,f1,f2,f20,f3,f27,f19,f17,f12,f7,f22,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f1558,f6,f2846,f8,f2847,f16,f2848,f18,f2849,f23,f2850,f21,f2851]) ).

fof(f2857,plain,
    ( identity = sk_c7
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2856,f1447]) ).

fof(f2856,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f28,f1512]) ).

fof(f3493,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3492]) ).

fof(f3492,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3491,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3491,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2861,f2982]) ).

fof(f2861,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | spl0_8 ),
    inference(superposition,[],[f1475,f2846]) ).

fof(f1475,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1052,f645]) ).

fof(f3490,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3489]) ).

fof(f3489,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3488,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3488,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f2868,f2982]) ).

fof(f2868,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f2863,f645]) ).

fof(f2863,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c5))
    | spl0_8 ),
    inference(superposition,[],[f1052,f2846]) ).

fof(f3487,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3486]) ).

fof(f3486,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3485,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3485,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1563,f2982]) ).

fof(f3484,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3483]) ).

fof(f3483,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3482,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3482,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1935,f2982]) ).

fof(f1935,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1934,f43]) ).

fof(f1934,plain,
    ( inverse(sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1929,f645]) ).

fof(f1929,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(sk_c5))
    | ~ spl0_9 ),
    inference(superposition,[],[f957,f1563]) ).

fof(f3481,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3480]) ).

fof(f3480,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3479,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3479,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1937,f2982]) ).

fof(f1937,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1931,f43]) ).

fof(f1931,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_9 ),
    inference(superposition,[],[f59,f1563]) ).

fof(f3478,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3477]) ).

fof(f3477,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3231,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3231,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3230,f574]) ).

fof(f3230,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3229,f920]) ).

fof(f920,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f796,f45]) ).

fof(f796,plain,
    ( identity = inverse(multiply(sk_c5,sk_c6))
    | ~ spl0_2 ),
    inference(superposition,[],[f672,f62]) ).

fof(f3229,plain,
    ( sk_c6 = multiply(sk_c5,inverse(identity))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2904,f2982]) ).

fof(f2904,plain,
    ( sk_c6 = multiply(sk_c5,inverse(sk_c7))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1943,f645]) ).

fof(f1943,plain,
    ( inverse(sk_c5) = multiply(sk_c5,inverse(sk_c7))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f957,f1937]) ).

fof(f3476,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3475]) ).

fof(f3475,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3239,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3239,plain,
    ( identity = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3238,f920]) ).

fof(f3238,plain,
    ( multiply(sk_c6,sk_c6) = inverse(identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1987,f2982]) ).

fof(f1987,plain,
    ( multiply(sk_c6,sk_c6) = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1981,f645]) ).

fof(f1981,plain,
    ( inverse(sk_c7) = multiply(sk_c6,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f957,f1935]) ).

fof(f3474,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3473]) ).

fof(f3473,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3291,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3291,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3290,f574]) ).

fof(f3290,plain,
    ( identity = multiply(sk_c5,multiply(sk_c5,identity))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3289,f920]) ).

fof(f3289,plain,
    ( identity = multiply(sk_c5,multiply(sk_c5,inverse(identity)))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1944,f2982]) ).

fof(f1944,plain,
    ( identity = multiply(sk_c5,multiply(sk_c5,inverse(sk_c7)))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f672,f1937]) ).

fof(f3472,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3471]) ).

fof(f3471,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2984,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f2984,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1563,f2982]) ).

fof(f3470,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3469]) ).

fof(f3469,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2985,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f2985,plain,
    ( sk_c5 = multiply(identity,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f1935,f2982]) ).

fof(f3468,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3467]) ).

fof(f3467,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3234,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3234,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3233,f574]) ).

fof(f3233,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3232,f920]) ).

fof(f3232,plain,
    ( sk_c6 = multiply(sk_c5,inverse(identity))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1928,f2982]) ).

fof(f1928,plain,
    ( sk_c6 = multiply(sk_c5,inverse(sk_c7))
    | ~ spl0_9 ),
    inference(superposition,[],[f1052,f1563]) ).

fof(f3466,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3465]) ).

fof(f3465,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f3464,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3464,plain,
    ( identity != sk_c5
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_demodulation,[],[f2022,f2982]) ).

fof(f3463,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3462]) ).

fof(f3462,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f2987,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f2987,plain,
    ( identity != sk_c5
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(superposition,[],[f2022,f2982]) ).

fof(f3461,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3460]) ).

fof(f3460,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1450,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f1450,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f961,f43]) ).

fof(f3459,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3458]) ).

fof(f3458,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f2859,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f2859,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1462,f1512]) ).

fof(f3457,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3456]) ).

fof(f3456,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1702,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f1702,plain,
    ( ! [X0] : sk_c6 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1052,f1448]) ).

fof(f1448,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f575,f43]) ).

fof(f3455,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3454]) ).

fof(f3454,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3453,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3453,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3452,f574]) ).

fof(f3452,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3451,f2982]) ).

fof(f3448,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3447]) ).

fof(f3447,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3446,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3446,plain,
    ( sk_c5 = sk_c6
    | identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3445,f1]) ).

fof(f3445,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3444,f2982]) ).

fof(f3444,plain,
    ( identity = sk_c2
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3443,f1]) ).

fof(f3443,plain,
    ( sk_c2 = multiply(identity,identity)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3442,f3126]) ).

fof(f3126,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3125,f920]) ).

fof(f3125,plain,
    ( sk_c1 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2922,f2982]) ).

fof(f3442,plain,
    ( sk_c2 = multiply(sk_c1,identity)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f16,f2982]) ).

fof(f3441,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3440]) ).

fof(f3440,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3439,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3439,plain,
    ( sk_c5 = sk_c6
    | identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3438,f574]) ).

fof(f3438,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | identity = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3437,f2982]) ).

fof(f3437,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f8,f2982]) ).

fof(f3436,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3435]) ).

fof(f3435,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3434,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3434,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f3433]) ).

fof(f3433,plain,
    ( sk_c5 = sk_c6
    | sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3432,f574]) ).

fof(f3432,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3431,f2982]) ).

fof(f3431,plain,
    ( sk_c5 = sk_c6
    | multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3430,f1]) ).

fof(f3430,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f6,f2982]) ).

fof(f3429,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3428]) ).

fof(f3428,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3061,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3061,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3060,f2982]) ).

fof(f3427,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3426]) ).

fof(f3426,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3425,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3425,plain,
    ( identity = multiply(sk_c4,sk_c6)
    | sk_c6 = sk_c2
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3064,f2982]) ).

fof(f3064,plain,
    ( sk_c6 = sk_c2
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3063,f1]) ).

fof(f3063,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f13,f2982]) ).

fof(f3424,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3423]) ).

fof(f3423,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3422,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3422,plain,
    ( sk_c5 = sk_c6
    | sk_c6 = sk_c2
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3421,f1]) ).

fof(f3421,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | sk_c6 = sk_c2
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3420,f2982]) ).

fof(f3420,plain,
    ( sk_c6 = sk_c2
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3419,f1]) ).

fof(f3419,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f11,f2982]) ).

fof(f3417,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3416]) ).

fof(f3416,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2986,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f2986,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f2019,f2982]) ).

fof(f3415,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3414]) ).

fof(f3414,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f3098,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3098,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2019,f2982]) ).

fof(f3413,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3412]) ).

fof(f3412,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1474,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f1474,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f961,f645]) ).

fof(f3411,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3410]) ).

fof(f3410,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | spl0_8 ),
    inference(global_subsumption,[],[f1648,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f1648,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1052,f1443]) ).

fof(f1443,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f43]) ).

fof(f3409,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3408]) ).

fof(f3408,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3407,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3407,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c6
        | identity != multiply(X6,sk_c6)
        | identity != multiply(X5,sk_c5)
        | sk_c6 != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f3406]) ).

fof(f3406,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c6
        | identity != multiply(X6,sk_c6)
        | identity != multiply(X5,sk_c5)
        | sk_c6 != multiply(identity,X4)
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3405,f574]) ).

fof(f3405,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(sk_c5,identity)
        | identity != multiply(X6,sk_c6)
        | identity != multiply(X5,sk_c5)
        | sk_c6 != multiply(identity,X4)
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5) )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3404,f2982]) ).

fof(f3404,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,sk_c6)
        | identity != multiply(X5,sk_c5)
        | sk_c6 != multiply(identity,X4)
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3403,f2982]) ).

fof(f3403,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,sk_c5)
        | sk_c6 != multiply(identity,X4)
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3402,f2982]) ).

fof(f3402,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,X4)
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3401,f574]) ).

fof(f3401,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,multiply(X4,identity))
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3400,f2982]) ).

fof(f3400,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f3399]) ).

fof(f3399,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c6
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3398,f1]) ).

fof(f3398,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,sk_c5)
        | sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3397,f2982]) ).

fof(f3397,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != sk_c6
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3396,f574]) ).

fof(f3396,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(sk_c6,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3395,f2982]) ).

fof(f3395,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3394,f2982]) ).

fof(f3394,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | sk_c5 != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c5 != multiply(sk_c6,sk_c7)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1441,f2982]) ).

fof(f3391,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3390]) ).

fof(f3390,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3372,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3372,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3371,f2982]) ).

fof(f3371,plain,
    ( identity = sk_c2
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3370,f1]) ).

fof(f3370,plain,
    ( sk_c2 = multiply(identity,identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3369,f3126]) ).

fof(f3369,plain,
    ( sk_c2 = multiply(sk_c1,identity)
    | sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f14,f2982]) ).

fof(f3389,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3388]) ).

fof(f3388,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(global_subsumption,[],[f3387,f1,f2,f20,f3,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f2847,f2848,f2849,f2850,f2851,f1558,f2846,f2867,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3387,plain,
    ( sk_c6 = sk_c2
    | sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3386,f1]) ).

fof(f3386,plain,
    ( sk_c6 = multiply(identity,sk_c2)
    | sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3374,f2982]) ).

fof(f3374,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f9,f2982]) ).

fof(f3385,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3384]) ).

fof(f3384,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(subsumption_resolution,[],[f3383,f574]) ).

fof(f3383,plain,
    ( sk_c5 != multiply(sk_c5,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f3382,f2991]) ).

fof(f2991,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2983,f574]) ).

fof(f2983,plain,
    ( sk_c6 = multiply(sk_c5,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1559,f2982]) ).

fof(f3382,plain,
    ( sk_c5 != multiply(sk_c6,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f1562,f2982]) ).

fof(f1562,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f1561]) ).

fof(f3327,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3326]) ).

fof(f3326,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3316,f608]) ).

fof(f3316,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3313]) ).

fof(f3313,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(superposition,[],[f1397,f573]) ).

fof(f1397,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1396]) ).

fof(f1396,plain,
    ( spl0_7
  <=> ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3325,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f3324]) ).

fof(f3324,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3323,f608]) ).

fof(f3323,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3317,f957]) ).

fof(f3317,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3312]) ).

fof(f3312,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_7 ),
    inference(superposition,[],[f1397,f672]) ).

fof(f3320,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3319]) ).

fof(f3319,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f3318,f920]) ).

fof(f3318,plain,
    ( identity != inverse(identity)
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f3310]) ).

fof(f3310,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f1397,f574]) ).

fof(f3273,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f3272]) ).

fof(f3272,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f3271,f608]) ).

fof(f3271,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f3263,f608]) ).

fof(f3263,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f3259]) ).

fof(f3259,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_3 ),
    inference(superposition,[],[f180,f530]) ).

fof(f180,plain,
    ( ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl0_3
  <=> ! [X5] :
        ( identity != multiply(X5,identity)
        | identity != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3270,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f3269]) ).

fof(f3269,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f3264,f608]) ).

fof(f3264,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f3258]) ).

fof(f3258,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_3 ),
    inference(superposition,[],[f180,f2]) ).

fof(f3268,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f3267]) ).

fof(f3267,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f3265,f920]) ).

fof(f3265,plain,
    ( identity != inverse(identity)
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f3257]) ).

fof(f3257,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f180,f1]) ).

fof(f3114,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3113]) ).

fof(f3113,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f3112,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f38,plain,
    ( sk_c7 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f54,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f71,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f68]) ).

fof(f68,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | spl0_1 ),
    inference(superposition,[],[f63,f50]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f58,f1]) ).

fof(f58,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

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

fof(f55,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f50,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f23,f38]) ).

fof(f49,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f21,f38]) ).

fof(f48,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f19,f38]) ).

fof(f47,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c7 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f22,f38]) ).

fof(f3112,plain,
    ( identity != inverse(sk_c1)
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f38,f2982]) ).

fof(f3111,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3110]) ).

fof(f3110,plain,
    ( $false
    | spl0_1
    | spl0_5 ),
    inference(subsumption_resolution,[],[f46,f192]) ).

fof(f3109,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3108]) ).

fof(f3108,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f136,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f136,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f90,f1]) ).

fof(f90,plain,
    ( identity = multiply(identity,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f47,f89]) ).

fof(f89,plain,
    ( identity = sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f86,f1]) ).

fof(f86,plain,
    ( sk_c7 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f64,f81]) ).

fof(f81,plain,
    ( identity = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f79,f45]) ).

fof(f79,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f76]) ).

fof(f76,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f73,f68]) ).

fof(f73,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f64]) ).

fof(f64,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f48]) ).

fof(f3107,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3106]) ).

fof(f3106,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(global_subsumption,[],[f98,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f98,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f97,f81]) ).

fof(f97,plain,
    ( sk_c5 = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f92,f1]) ).

fof(f92,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f89]) ).

fof(f3105,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3104]) ).

fof(f3104,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f81,f2987]) ).

fof(f3103,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f3102]) ).

fof(f3102,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_5 ),
    inference(global_subsumption,[],[f180,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3101,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3100]) ).

fof(f3100,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f3099,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3099,plain,
    ( sk_c5 = multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3098,f2991]) ).

fof(f3097,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3096]) ).

fof(f3096,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f3095,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3095,plain,
    ( sk_c5 = multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2986,f2991]) ).

fof(f3094,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3093]) ).

fof(f3093,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2077,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f2077,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2059,f1935]) ).

fof(f2059,plain,
    ( sk_c2 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f2014,f2019]) ).

fof(f2014,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2002,f1]) ).

fof(f2002,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f1991]) ).

fof(f1991,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1990,f1574]) ).

fof(f1574,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1568,f645]) ).

fof(f1568,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f59,f1559]) ).

fof(f1990,plain,
    ( identity = multiply(sk_c7,multiply(sk_c6,sk_c6))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f1982,f645]) ).

fof(f1982,plain,
    ( identity = multiply(sk_c7,multiply(sk_c6,inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(superposition,[],[f672,f1935]) ).

fof(f3092,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3091]) ).

fof(f3091,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f3090,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3090,plain,
    ( identity = inverse(sk_c1)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3089,f2982]) ).

fof(f3088,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f3087]) ).

fof(f3087,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f3086,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3086,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3085,f2982]) ).

fof(f3085,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | identity = inverse(sk_c1)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3084,f2991]) ).

fof(f3084,plain,
    ( identity = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f23,f2982]) ).

fof(f3073,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f3072]) ).

fof(f3072,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(global_subsumption,[],[f3053,f1,f2,f20,f46,f47,f48,f49,f50,f3,f55,f57,f63,f68,f71,f54,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f5,f10,f15,f25,f35,f28,f26,f24,f14,f13,f11,f33,f31,f29,f4,f9,f38,f22,f17,f7,f21,f23,f18,f16,f8,f6,f192]) ).

fof(f3053,plain,
    ( sk_c2 = multiply(sk_c1,identity)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3052,f2982]) ).

fof(f3071,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3070]) ).

fof(f3070,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f14,f13,f11,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1452,f197,f1454,f1455,f1456,f1457,f1465,f1459,f1460,f1461,f1462,f1463,f1464,f645,f1466,f1467,f1478,f1471,f1472,f1476,f920,f1512,f1442,f1526,f1447,f1553,f4,f1573,f1569,f1580,f1579,f1593,f1589,f1443,f1448,f1696,f1451,f1773,f1776,f1777,f1779,f1475,f1796,f1799,f1800,f1802,f9,f1474,f1648,f1778,f1642,f1695,f1641,f1801,f1702,f2859,f1450,f22,f2906,f17,f7,f2907,f2857,f2853,f21,f2910,f23,f18,f16,f2912,f8,f2913,f6,f2914,f1574,f1572,f192,f1559,f2946,f2954,f2955,f2956,f2951,f2909,f2957,f2963,f2962,f2982,f2994,f2991,f2997,f2998,f2999,f3000,f3001,f2995,f3008,f3009,f3022,f3013,f3014,f3016,f3017,f3018,f2996,f3046,f3062,f3067,f3069]) ).

fof(f3069,plain,
    ( sk_c5 != multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(forward_demodulation,[],[f3068,f2991]) ).

fof(f3068,plain,
    ( sk_c6 != multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_demodulation,[],[f2018,f2982]) ).

fof(f3067,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | sk_c5 = sk_c2
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3066,f2982]) ).

fof(f3066,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c5 = sk_c2
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3065,f2991]) ).

fof(f3065,plain,
    ( sk_c5 = sk_c2
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3064,f2991]) ).

fof(f3062,plain,
    ( sk_c5 = multiply(identity,sk_c2)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3061,f2991]) ).

fof(f3046,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3034,f1]) ).

fof(f3034,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f2996]) ).

fof(f2996,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1442,f2991]) ).

fof(f3018,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1168,f2995]) ).

fof(f3017,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1052,f2995]) ).

fof(f3016,plain,
    ( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c5,X0)))
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f961,f2995]) ).

fof(f3014,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f575,f2995]) ).

fof(f3013,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f573,f2995]) ).

fof(f3022,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f3012,f608]) ).

fof(f3012,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f530,f2995]) ).

fof(f3009,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f59,f2995]) ).

fof(f3008,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f2995]) ).

fof(f2995,plain,
    ( sk_c5 = inverse(sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f43,f2991]) ).

fof(f3001,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1475,f2991]) ).

fof(f3000,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c5) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1451,f2991]) ).

fof(f2999,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1448,f2991]) ).

fof(f2998,plain,
    ( identity = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1447,f2991]) ).

fof(f2997,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1443,f2991]) ).

fof(f2994,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2988,f1]) ).

fof(f2988,plain,
    ( sk_c6 = multiply(identity,sk_c5)
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f2909,f2982]) ).

fof(f2962,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f2909]) ).

fof(f2963,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2958,f645]) ).

fof(f2958,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1052,f2909]) ).

fof(f2957,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f1475,f2909]) ).

fof(f2909,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f2853,f1,f2,f20,f45,f3,f62,f103,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f14,f13,f11,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1476,f920,f1442,f1526,f1447,f1553,f4,f1559,f1573,f1569,f1574,f1580,f1579,f1572,f1593,f1589,f1443,f1448,f1696,f1451,f1773,f1776,f1777,f1779,f1475,f1796,f1799,f1800,f1802,f9,f6,f8,f16,f18,f23,f21,f1474,f1648,f1778,f1642,f1695,f1641,f1801,f1702,f1450,f22,f17,f7,f2907]) ).

fof(f2956,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2950,f645]) ).

fof(f2950,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_8 ),
    inference(superposition,[],[f59,f1559]) ).

fof(f2955,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2949,f43]) ).

fof(f2949,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,inverse(sk_c6)))
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f1559]) ).

fof(f2954,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2953,f645]) ).

fof(f2953,plain,
    ( multiply(sk_c7,sk_c5) = inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2948,f43]) ).

fof(f2948,plain,
    ( inverse(sk_c5) = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f1559]) ).

fof(f2946,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f1448,f1559]) ).

fof(f1572,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1571,f645]) ).

fof(f1571,plain,
    ( multiply(sk_c7,sk_c5) = inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1566,f43]) ).

fof(f1566,plain,
    ( inverse(sk_c5) = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f1559]) ).

fof(f2912,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f14,f13,f11,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1476,f920,f1442,f1526,f1447,f1553,f4,f1559,f1573,f1569,f1574,f1580,f1579,f1572,f1593,f1589,f1443,f1448,f1696,f1451,f1773,f1776,f1777,f1779,f1475,f1796,f1799,f1800,f1802,f9,f6,f8,f1474,f1648,f1778,f1642,f1695,f1641,f1801,f1702,f1450,f22,f17,f7,f2907,f21,f2910,f23,f18,f16]) ).

fof(f2910,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f19,f12,f32,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1399,f1401,f1402,f1312,f1281,f1275,f1403,f1138,f981,f1405,f1409,f1410,f1014,f935,f934,f925,f924,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f14,f13,f11,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1476,f920,f1442,f1526,f1447,f1553,f4,f1559,f1573,f1569,f1574,f1580,f1579,f1572,f1593,f1589,f1443,f1448,f1696,f1451,f1773,f1776,f1777,f1779,f1475,f1796,f1799,f1800,f1802,f9,f6,f8,f16,f18,f23,f1474,f1648,f1778,f1642,f1695,f1641,f1801,f1702,f1450,f22,f17,f7,f2907,f21]) ).

fof(f1801,plain,
    ( ! [X0] : sk_c6 = multiply(inverse(multiply(X0,sk_c5)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f1475]) ).

fof(f1641,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1443,f957]) ).

fof(f1695,plain,
    ( ! [X0] : multiply(sk_c6,inverse(X0)) = inverse(multiply(X0,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f1448,f957]) ).

fof(f1642,plain,
    ( ! [X0] : multiply(sk_c5,X0) = inverse(multiply(inverse(X0),sk_c6))
    | ~ spl0_2 ),
    inference(superposition,[],[f1443,f961]) ).

fof(f1778,plain,
    ( ! [X0] : sk_c5 = multiply(inverse(multiply(X0,sk_c6)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f1451]) ).

fof(f1802,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c5),multiply(sk_c6,X1))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1475]) ).

fof(f1800,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c5),multiply(sk_c6,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f672,f1475]) ).

fof(f1799,plain,
    ( ! [X0] : multiply(sk_c6,inverse(X0)) = inverse(multiply(X0,sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f957,f1475]) ).

fof(f1796,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c5)),sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f1475,f3]) ).

fof(f1779,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c6),multiply(sk_c5,X1))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1451]) ).

fof(f1777,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c6),multiply(sk_c5,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f672,f1451]) ).

fof(f1776,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c6)) = multiply(sk_c5,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f957,f1451]) ).

fof(f1773,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c6)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f1451,f3]) ).

fof(f1451,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1052,f43]) ).

fof(f1696,plain,
    ( ! [X0] : multiply(sk_c6,X0) = inverse(multiply(inverse(X0),sk_c5))
    | ~ spl0_2 ),
    inference(superposition,[],[f1448,f961]) ).

fof(f1589,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1572]) ).

fof(f1593,plain,
    ( identity = multiply(sk_c7,multiply(sk_c5,sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1587,f43]) ).

fof(f1587,plain,
    ( identity = multiply(sk_c7,multiply(sk_c5,inverse(sk_c6)))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f1572]) ).

fof(f1579,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1574]) ).

fof(f1580,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1575,f43]) ).

fof(f1575,plain,
    ( sk_c6 = multiply(sk_c7,inverse(sk_c6))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f1052,f1574]) ).

fof(f1573,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,sk_c5))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1567,f43]) ).

fof(f1567,plain,
    ( identity = multiply(sk_c5,multiply(sk_c7,inverse(sk_c6)))
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f1559]) ).

fof(f1553,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1546,f1]) ).

fof(f1546,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1447]) ).

fof(f1526,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1519,f1]) ).

fof(f1519,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1442]) ).

fof(f1442,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f1476,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1168,f645]) ).

fof(f1472,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f575,f645]) ).

fof(f1471,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f573,f645]) ).

fof(f1478,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1470,f608]) ).

fof(f1470,plain,
    ( identity = multiply(inverse(inverse(sk_c6)),sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f645]) ).

fof(f1467,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f59,f645]) ).

fof(f1466,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f645]) ).

fof(f1452,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c6) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1168,f43]) ).

fof(f1449,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f608,f43]) ).

fof(f1453,plain,
    ( identity = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1446,f608]) ).

fof(f1446,plain,
    ( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f530,f43]) ).

fof(f1445,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f433,f43]) ).

fof(f1444,plain,
    ( sk_c6 = multiply(inverse(sk_c5),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f423,f43]) ).

fof(f930,plain,
    ( identity = inverse(identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f806,f45]) ).

fof(f806,plain,
    ( identity = inverse(multiply(sk_c5,sk_c6))
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f672]) ).

fof(f3058,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f3057]) ).

fof(f3057,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f3056,f2022]) ).

fof(f3056,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f3055,f2077]) ).

fof(f3055,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3054,f574]) ).

fof(f3054,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3053,f2078]) ).

fof(f2078,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2060,f574]) ).

fof(f2060,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f2014,f185]) ).

fof(f2902,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2901]) ).

fof(f2901,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2900,f2022]) ).

fof(f2900,plain,
    ( sk_c5 = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2899,f1935]) ).

fof(f2899,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2847,f2871]) ).

fof(f2871,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2870,f1937]) ).

fof(f2870,plain,
    ( sk_c4 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_8 ),
    inference(forward_demodulation,[],[f2869,f646]) ).

fof(f2869,plain,
    ( multiply(sk_c5,sk_c5) = inverse(sk_c7)
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_demodulation,[],[f2864,f43]) ).

fof(f2864,plain,
    ( inverse(sk_c7) = multiply(sk_c5,inverse(sk_c6))
    | spl0_8 ),
    inference(superposition,[],[f957,f2846]) ).

fof(f2845,plain,
    ( ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2844]) ).

fof(f2844,plain,
    ( $false
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f2843,f1]) ).

fof(f2843,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2842,f2294]) ).

fof(f2294,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2269,f1447]) ).

fof(f2842,plain,
    ( identity != multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2841,f2023]) ).

fof(f2841,plain,
    ( identity != multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1558,f2330]) ).

fof(f2330,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2319,f920]) ).

fof(f2319,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f645,f2294]) ).

fof(f2657,plain,
    ( spl0_7
    | spl0_3
    | spl0_3
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2606,f2021,f1561,f1557,f41,f179,f179,f1396]) ).

fof(f2606,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2605,f2294]) ).

fof(f2605,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2604,f2023]) ).

fof(f2604,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2603,f2294]) ).

fof(f2603,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c5)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2602,f2293]) ).

fof(f2293,plain,
    ( sk_c5 = sk_c6
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2292,f2023]) ).

fof(f2292,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2268,f1937]) ).

fof(f2602,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2601,f2294]) ).

fof(f2601,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2600,f2023]) ).

fof(f2600,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2599,f2294]) ).

fof(f2599,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2598,f2294]) ).

fof(f2598,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2597,f2293]) ).

fof(f2597,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,X4)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2596,f574]) ).

fof(f2596,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2595,f2294]) ).

fof(f2595,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(sk_c5,multiply(X4,sk_c5))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2594,f2023]) ).

fof(f2594,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2593,f2294]) ).

fof(f2593,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2592,f2023]) ).

fof(f2592,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2591,f2294]) ).

fof(f2591,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2590,f2023]) ).

fof(f2590,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2589,f2294]) ).

fof(f2589,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2588,f1559]) ).

fof(f2588,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f2587,f1572]) ).

fof(f2467,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2246,f182,f1396]) ).

fof(f182,plain,
    ( spl0_4
  <=> ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f2246,plain,
    ( ! [X4] :
        ( identity != multiply(identity,X4)
        | identity != inverse(X4) )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f183,f574]) ).

fof(f183,plain,
    ( ! [X4] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f2258,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2257]) ).

fof(f2257,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f46,f47,f48,f49,f50,f3,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f82,f83,f88,f85,f87,f96,f101,f94,f102,f115,f116,f127,f123,f90,f137,f139,f154,f103,f27,f23,f21,f19,f17,f12,f7,f22,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1335,f1399,f1401,f1402,f1312,f1310,f1281,f1275,f1263,f1144,f1403,f1138,f1006,f993,f981,f1405,f1406,f1409,f1410,f1014,f935,f934,f932,f925,f924,f922,f788,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f570,f551,f548,f528,f444,f430,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f9,f1925,f2022,f2243,f81,f89,f98,f136,f38]) ).

fof(f2243,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2242,f2022]) ).

fof(f2242,plain,
    ( sk_c5 = sk_c7
    | sk_c7 = inverse(sk_c1)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f23,f1594]) ).

fof(f1925,plain,
    ( sk_c5 = sk_c7
    | sk_c6 = multiply(sk_c7,sk_c2)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f13,f1594]) ).

fof(f1621,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1594]) ).

fof(f1594,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1588,f646]) ).

fof(f1588,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f59,f1572]) ).

fof(f1609,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1592]) ).

fof(f1610,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1605,f645]) ).

fof(f1605,plain,
    ( sk_c5 = multiply(sk_c4,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f1052,f1592]) ).

fof(f1592,plain,
    ( sk_c4 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1591,f646]) ).

fof(f1591,plain,
    ( multiply(sk_c5,sk_c5) = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1586,f43]) ).

fof(f1586,plain,
    ( inverse(sk_c7) = multiply(sk_c5,inverse(sk_c6))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f1572]) ).

fof(f1599,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1582]) ).

fof(f1604,plain,
    ( sk_c4 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1598,f43]) ).

fof(f1598,plain,
    ( sk_c4 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f59,f1582]) ).

fof(f1603,plain,
    ( identity = multiply(sk_c6,multiply(sk_c4,sk_c6))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1597,f645]) ).

fof(f1597,plain,
    ( identity = multiply(sk_c6,multiply(sk_c4,inverse(sk_c5)))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f1582]) ).

fof(f1602,plain,
    ( sk_c5 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1601,f43]) ).

fof(f1601,plain,
    ( inverse(sk_c6) = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1596,f645]) ).

fof(f1596,plain,
    ( inverse(sk_c6) = multiply(sk_c4,inverse(sk_c5))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f1582]) ).

fof(f1582,plain,
    ( sk_c5 = multiply(sk_c6,sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1581,f43]) ).

fof(f1581,plain,
    ( inverse(sk_c6) = multiply(sk_c6,sk_c4)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1576,f646]) ).

fof(f1576,plain,
    ( inverse(sk_c6) = multiply(sk_c6,inverse(sk_c7))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f957,f1574]) ).

fof(f1583,plain,
    ( identity = multiply(sk_c6,multiply(sk_c6,sk_c4))
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1577,f646]) ).

fof(f1577,plain,
    ( identity = multiply(sk_c6,multiply(sk_c6,inverse(sk_c7)))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f672,f1574]) ).

fof(f1570,plain,
    ( sk_c5 = multiply(sk_c6,sk_c4)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1565,f646]) ).

fof(f1565,plain,
    ( sk_c5 = multiply(sk_c6,inverse(sk_c7))
    | ~ spl0_8 ),
    inference(superposition,[],[f1052,f1559]) ).

fof(f154,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f153,f98]) ).

fof(f153,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f116,f98]) ).

fof(f139,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f138,f1]) ).

fof(f138,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c4,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f90]) ).

fof(f137,plain,
    ( identity = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1,f90]) ).

fof(f123,plain,
    ( identity = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f117,f81]) ).

fof(f117,plain,
    ( sk_c5 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f98]) ).

fof(f127,plain,
    ( identity = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f120,f89]) ).

fof(f120,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f50,f98]) ).

fof(f116,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,sk_c6)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f30,f32,f29,f31,f33,f15,f10,f25,f5,f22,f19,f21,f23,f17,f12,f27,f7,f14,f16,f18,f9,f24,f4,f11,f13,f26,f6,f28,f8,f35,f1,f2,f20,f38,f43,f45,f46,f47,f48,f49,f50,f3,f59,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f81,f82,f83,f88,f85,f87,f89,f90,f96,f98,f101,f94,f102,f115]) ).

fof(f115,plain,
    ( ! [X6,X4,X5] :
        ( identity != sk_c6
        | identity != multiply(X6,sk_c6)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f114,f1]) ).

fof(f114,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,identity)
        | identity != multiply(X6,sk_c6)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f113,f81]) ).

fof(f113,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(sk_c5,identity)
        | identity != multiply(X6,sk_c6)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f112,f89]) ).

fof(f112,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,sk_c6)
        | identity != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f111,f89]) ).

fof(f111,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f110,f89]) ).

fof(f110,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f109,f81]) ).

fof(f109,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f108,f89]) ).

fof(f108,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f107,f89]) ).

fof(f107,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f106,f89]) ).

fof(f106,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f105,f81]) ).

fof(f105,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f104,f49]) ).

fof(f104,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f103,f48]) ).

fof(f102,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f95,f1]) ).

fof(f95,plain,
    ( sk_c6 = multiply(identity,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f68,f89]) ).

fof(f94,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c4,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f89]) ).

fof(f101,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f100,f1]) ).

fof(f100,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f99,f81]) ).

fof(f99,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f93,f1]) ).

fof(f93,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(identity,multiply(sk_c5,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f89]) ).

fof(f96,plain,
    ( identity = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f91,f81]) ).

fof(f91,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f48,f89]) ).

fof(f87,plain,
    ( sk_c6 = multiply(sk_c6,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f76,f81]) ).

fof(f85,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f81]) ).

fof(f88,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f84,f1]) ).

fof(f84,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(identity,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f81]) ).

fof(f83,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f49,f81]) ).

fof(f82,plain,
    ( identity = multiply(identity,sk_c6)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f45,f81]) ).

fof(f80,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f76]) ).

fof(f74,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f45]) ).

fof(f72,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f54,f62]) ).

fof(f67,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f64]) ).

fof(f2256,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2255]) ).

fof(f2255,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f3,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f82,f83,f88,f85,f87,f96,f101,f94,f102,f115,f116,f127,f123,f90,f137,f139,f154,f103,f27,f23,f21,f19,f17,f12,f7,f22,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1335,f1399,f1401,f1402,f1312,f1310,f1281,f1275,f1263,f1144,f1403,f1138,f1006,f993,f981,f1405,f1406,f1409,f1410,f1014,f935,f934,f932,f925,f924,f922,f788,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f570,f551,f548,f528,f444,f430,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f9,f1925,f2022,f2243,f81,f89,f98,f136]) ).

fof(f2254,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2253]) ).

fof(f2253,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f3,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f82,f83,f88,f85,f87,f96,f101,f94,f102,f115,f116,f127,f123,f90,f137,f139,f136,f154,f103,f27,f23,f21,f19,f17,f12,f7,f22,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1335,f1399,f1401,f1402,f1312,f1310,f1281,f1275,f1263,f1144,f1403,f1138,f1006,f993,f981,f1405,f1406,f1409,f1410,f1014,f935,f934,f932,f925,f924,f922,f788,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f570,f551,f548,f528,f444,f430,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f9,f1925,f2022,f2243,f81,f89,f98]) ).

fof(f2252,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2251]) ).

fof(f2251,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f3,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f82,f83,f88,f85,f87,f96,f101,f94,f102,f115,f116,f98,f127,f123,f90,f137,f139,f136,f154,f103,f27,f23,f21,f19,f17,f12,f7,f22,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1335,f1399,f1401,f1402,f1312,f1310,f1281,f1275,f1263,f1144,f1403,f1138,f1006,f993,f981,f1405,f1406,f1409,f1410,f1014,f935,f934,f932,f925,f924,f922,f788,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f570,f551,f548,f528,f444,f430,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f9,f1925,f2022,f2243,f81,f89]) ).

fof(f2250,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2249]) ).

fof(f2249,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f3,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f82,f83,f88,f85,f87,f89,f96,f101,f94,f102,f115,f116,f98,f127,f123,f90,f137,f139,f136,f154,f103,f27,f23,f21,f19,f17,f12,f7,f22,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1335,f1399,f1401,f1402,f1312,f1310,f1281,f1275,f1263,f1144,f1403,f1138,f1006,f993,f981,f1405,f1406,f1409,f1410,f1014,f935,f934,f932,f925,f924,f922,f788,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f570,f551,f548,f528,f444,f430,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f9,f1925,f2022,f2243,f81]) ).

fof(f2248,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2247]) ).

fof(f2247,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f2246,f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f3,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f81,f82,f83,f88,f85,f87,f89,f96,f101,f94,f102,f115,f116,f98,f127,f123,f90,f137,f139,f136,f154,f103,f27,f23,f21,f19,f17,f12,f7,f22,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1335,f1399,f1401,f1402,f1312,f1310,f1281,f1275,f1263,f1144,f1403,f1138,f1006,f993,f981,f1405,f1406,f1409,f1410,f1014,f935,f934,f932,f925,f924,f922,f788,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f570,f551,f548,f528,f444,f430,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f9,f1925,f2022,f2243]) ).

fof(f2245,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2244]) ).

fof(f2244,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_11 ),
    inference(global_subsumption,[],[f1,f2,f20,f38,f45,f46,f47,f48,f49,f50,f3,f55,f57,f62,f64,f67,f63,f68,f71,f54,f72,f74,f76,f80,f81,f82,f83,f88,f85,f87,f89,f96,f101,f94,f102,f115,f116,f98,f127,f123,f90,f137,f139,f136,f154,f103,f27,f23,f21,f19,f17,f12,f7,f22,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1335,f1399,f1401,f1402,f1312,f1310,f1281,f1275,f1263,f1144,f1403,f1138,f1006,f993,f981,f1405,f1406,f1409,f1410,f1014,f935,f934,f932,f925,f924,f922,f788,f777,f860,f1419,f760,f719,f715,f673,f669,f1421,f619,f1422,f611,f570,f551,f548,f528,f444,f430,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f9,f1925,f2022,f2243]) ).

fof(f2238,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2237]) ).

fof(f2237,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2197,f2134]) ).

fof(f2134,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f2133,f2022]) ).

fof(f2133,plain,
    ( sk_c5 = sk_c7
    | identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2132,f1594]) ).

fof(f2132,plain,
    ( identity = sk_c5
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2131,f2037]) ).

fof(f2037,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2036,f1594]) ).

fof(f2131,plain,
    ( identity = sk_c2
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2130,f667]) ).

fof(f2130,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f18,f1492]) ).

fof(f2197,plain,
    ( identity != sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f2022,f2152]) ).

fof(f2152,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(forward_demodulation,[],[f2145,f1]) ).

fof(f2145,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f1937,f2134]) ).

fof(f2024,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1925,f1557,f191,f41,f2021,f2017]) ).

fof(f1922,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f23,f21,f19,f17,f12,f7,f22,f39,f185,f187,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1335,f1399,f1401,f1402,f1312,f1311,f1310,f1281,f1275,f1264,f1263,f1172,f1144,f1143,f1403,f1138,f1007,f1006,f995,f993,f981,f1405,f1406,f1407,f1409,f1410,f1014,f935,f934,f932,f931,f925,f924,f922,f921,f790,f788,f777,f860,f1419,f760,f719,f715,f707,f673,f669,f668,f647,f1421,f619,f1422,f611,f571,f570,f551,f548,f529,f528,f446,f444,f430,f429,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f1492,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1562,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1719,f1726,f1721,f1728,f1729,f1725,f1731,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f1845,f1847,f1849,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1857,f1858,f1861,f1862,f1846,f1874,f1875,f1876,f1878,f1879,f1881,f1884,f1873,f1885,f1909,f1912,f1915,f1918,f1897]) ).

fof(f1897,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1849,f1873]) ).

fof(f1918,plain,
    ( identity = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1896,f1846]) ).

fof(f1896,plain,
    ( sk_c5 = multiply(sk_c4,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1594,f1873]) ).

fof(f1915,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1895,f1846]) ).

fof(f1895,plain,
    ( sk_c5 = multiply(identity,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1582,f1873]) ).

fof(f1912,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1894,f1]) ).

fof(f1894,plain,
    ( sk_c7 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1574,f1873]) ).

fof(f1909,plain,
    ( identity != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1893,f1846]) ).

fof(f1893,plain,
    ( sk_c5 != multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1562,f1873]) ).

fof(f1885,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1873,f1849]) ).

fof(f1873,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1863,f920]) ).

fof(f1863,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f645,f1846]) ).

fof(f1884,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1872,f1]) ).

fof(f1872,plain,
    ( sk_c4 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1592,f1846]) ).

fof(f1881,plain,
    ( ! [X0] : multiply(X0,sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1880,f574]) ).

fof(f1880,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1869,f1849]) ).

fof(f1869,plain,
    ( ! [X0] : multiply(multiply(X0,identity),sk_c6) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1475,f1846]) ).

fof(f1879,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),identity) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1868,f1849]) ).

fof(f1868,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c6),identity) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1451,f1846]) ).

fof(f1878,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1877,f1849]) ).

fof(f1877,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1867,f1]) ).

fof(f1867,plain,
    ( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1448,f1846]) ).

fof(f1876,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1866,f1849]) ).

fof(f1866,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1447,f1846]) ).

fof(f1875,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1865,f1849]) ).

fof(f1865,plain,
    ( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1443,f1846]) ).

fof(f1874,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1864,f1849]) ).

fof(f1864,plain,
    ( identity = multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1442,f1846]) ).

fof(f1846,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1845,f1731]) ).

fof(f1862,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1860,f667]) ).

fof(f1860,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1594,f1849]) ).

fof(f1861,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1859,f199]) ).

fof(f1859,plain,
    ( sk_c5 = multiply(sk_c7,sk_c4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1582,f1849]) ).

fof(f1858,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1574,f1849]) ).

fof(f1857,plain,
    ( sk_c5 != multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1562,f1849]) ).

fof(f1856,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c5),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1475,f1849]) ).

fof(f1855,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1451,f1849]) ).

fof(f1854,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1448,f1849]) ).

fof(f1853,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1447,f1849]) ).

fof(f1852,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1443,f1849]) ).

fof(f1851,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1442,f1849]) ).

fof(f1850,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f43,f1849]) ).

fof(f1849,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9 ),
    inference(forward_demodulation,[],[f1848,f574]) ).

fof(f1848,plain,
    ( sk_c6 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f1719,f1845]) ).

fof(f1847,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(superposition,[],[f1731,f1845]) ).

fof(f1845,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9 ),
    inference(forward_demodulation,[],[f1844,f667]) ).

fof(f1844,plain,
    ( sk_c2 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_9 ),
    inference(forward_demodulation,[],[f1843,f1492]) ).

fof(f1843,plain,
    ( sk_c2 = multiply(sk_c1,sk_c7)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f14,f1562]) ).

fof(f1731,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1730,f1594]) ).

fof(f1730,plain,
    ( multiply(sk_c4,sk_c6) = sk_c2
    | ~ spl0_5
    | spl0_9 ),
    inference(forward_demodulation,[],[f1724,f646]) ).

fof(f1724,plain,
    ( sk_c2 = multiply(inverse(sk_c7),sk_c6)
    | spl0_9 ),
    inference(superposition,[],[f59,f1719]) ).

fof(f1725,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | spl0_9 ),
    inference(superposition,[],[f3,f1719]) ).

fof(f1729,plain,
    ( identity = multiply(sk_c7,multiply(sk_c2,sk_c5))
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f1723,f43]) ).

fof(f1723,plain,
    ( identity = multiply(sk_c7,multiply(sk_c2,inverse(sk_c6)))
    | spl0_9 ),
    inference(superposition,[],[f672,f1719]) ).

fof(f1728,plain,
    ( sk_c4 = multiply(sk_c2,sk_c5)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_9 ),
    inference(forward_demodulation,[],[f1727,f646]) ).

fof(f1727,plain,
    ( inverse(sk_c7) = multiply(sk_c2,sk_c5)
    | ~ spl0_2
    | spl0_9 ),
    inference(forward_demodulation,[],[f1722,f43]) ).

fof(f1722,plain,
    ( inverse(sk_c7) = multiply(sk_c2,inverse(sk_c6))
    | spl0_9 ),
    inference(superposition,[],[f957,f1719]) ).

fof(f1721,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c2))
    | spl0_9 ),
    inference(superposition,[],[f1052,f1719]) ).

fof(f1726,plain,
    ( sk_c5 = sk_c2
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(forward_demodulation,[],[f1720,f1594]) ).

fof(f1720,plain,
    ( multiply(sk_c4,sk_c6) = sk_c2
    | ~ spl0_5
    | spl0_9 ),
    inference(superposition,[],[f706,f1719]) ).

fof(f1719,plain,
    ( sk_c6 = multiply(sk_c7,sk_c2)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f9,f1562]) ).

fof(f1920,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f23,f21,f19,f17,f12,f7,f22,f39,f185,f187,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1335,f1399,f1401,f1402,f1312,f1311,f1310,f1281,f1275,f1264,f1263,f1172,f1144,f1143,f1403,f1138,f1007,f1006,f995,f993,f981,f1405,f1406,f1407,f1409,f1410,f1014,f935,f934,f932,f931,f925,f924,f922,f921,f790,f788,f777,f860,f1419,f760,f719,f715,f707,f673,f669,f668,f647,f1421,f619,f1422,f611,f571,f570,f551,f548,f529,f528,f446,f444,f430,f429,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f1492,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1562,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1719,f1726,f1721,f1728,f1729,f1725,f1731,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f1845,f1847,f1849,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1857,f1858,f1861,f1862,f1846,f1874,f1875,f1876,f1878,f1879,f1881,f1884,f1873,f1885,f1909,f1912,f1915,f1918]) ).

fof(f1917,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1916]) ).

fof(f1916,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f23,f21,f19,f17,f12,f7,f22,f39,f185,f187,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1335,f1399,f1401,f1402,f1312,f1311,f1310,f1281,f1275,f1264,f1263,f1172,f1144,f1143,f1403,f1138,f1007,f1006,f995,f993,f981,f1405,f1406,f1407,f1409,f1410,f1014,f935,f934,f932,f931,f925,f924,f922,f921,f790,f788,f777,f860,f1419,f760,f719,f715,f707,f673,f669,f668,f647,f1421,f619,f1422,f611,f571,f570,f551,f548,f529,f528,f446,f444,f430,f429,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f1492,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1562,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1719,f1726,f1721,f1728,f1729,f1725,f1731,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f1845,f1847,f1849,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1857,f1858,f1861,f1862,f1846,f1874,f1875,f1876,f1878,f1879,f1881,f1884,f1873,f1885,f1909,f1912,f1915]) ).

fof(f1914,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1913]) ).

fof(f1913,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f23,f21,f19,f17,f12,f7,f22,f39,f185,f187,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1335,f1399,f1401,f1402,f1312,f1311,f1310,f1281,f1275,f1264,f1263,f1172,f1144,f1143,f1403,f1138,f1007,f1006,f995,f993,f981,f1405,f1406,f1407,f1409,f1410,f1014,f935,f934,f932,f931,f925,f924,f922,f921,f790,f788,f777,f860,f1419,f760,f719,f715,f707,f673,f669,f668,f647,f1421,f619,f1422,f611,f571,f570,f551,f548,f529,f528,f446,f444,f430,f429,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f1492,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1562,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1719,f1726,f1721,f1728,f1729,f1725,f1731,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f1845,f1847,f1849,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1857,f1858,f1861,f1862,f1846,f1874,f1875,f1876,f1878,f1879,f1881,f1884,f1873,f1885,f1909,f1912]) ).

fof(f1911,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1910]) ).

fof(f1910,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f1,f2,f20,f45,f3,f62,f103,f27,f23,f21,f19,f17,f12,f7,f22,f39,f185,f187,f32,f193,f199,f201,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1336,f1335,f1399,f1401,f1402,f1312,f1311,f1310,f1281,f1275,f1264,f1263,f1172,f1144,f1143,f1403,f1138,f1007,f1006,f995,f993,f981,f1405,f1406,f1407,f1409,f1410,f1014,f935,f934,f932,f931,f925,f924,f922,f921,f790,f788,f777,f860,f1419,f760,f719,f715,f707,f673,f669,f668,f647,f1421,f619,f1422,f611,f571,f570,f551,f548,f529,f528,f446,f444,f430,f429,f422,f30,f1436,f5,f1437,f10,f1438,f15,f1439,f25,f1440,f35,f1441,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f33,f31,f29,f930,f43,f1444,f1445,f1453,f1449,f1450,f1452,f645,f1466,f1467,f1478,f1471,f1472,f1474,f1476,f646,f1479,f1480,f1491,f1487,f1489,f1492,f920,f1442,f1526,f667,f1540,f1447,f1553,f4,f1559,f1570,f1573,f1569,f1562,f1574,f1580,f1583,f1579,f1572,f1593,f1589,f1582,f1602,f1603,f1604,f1599,f1592,f1610,f1609,f1594,f1621,f1443,f1641,f1642,f1648,f706,f1668,f1669,f1675,f1448,f1695,f1696,f1702,f1719,f1726,f1721,f1728,f1729,f1725,f1731,f1171,f1750,f1753,f1754,f1755,f1756,f1451,f1773,f1776,f1777,f1778,f1779,f1475,f1796,f1799,f1800,f1801,f1802,f1488,f1817,f1820,f1821,f1822,f1823,f1845,f1847,f1849,f1850,f1851,f1852,f1853,f1854,f1855,f1856,f1857,f1858,f1861,f1862,f1846,f1874,f1875,f1876,f1878,f1879,f1881,f1884,f1873,f1885,f1909]) ).

fof(f1564,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f4,f1561,f1557]) ).

fof(f1435,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1434]) ).

fof(f1434,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f35,f1,f2,f20,f3,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f196,f204,f208,f210,f206,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1332,f1399,f1401,f1402,f1312,f1281,f1275,f1161,f1155,f1154,f1145,f1403,f1138,f1003,f985,f984,f981,f1405,f976,f1409,f1410,f1014,f935,f934,f925,f924,f786,f780,f779,f777,f860,f1417,f1419,f760,f720,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f436,f435,f431,f422,f212,f209,f216,f1427,f1428,f25,f1429,f15,f1430,f10,f1431,f5,f1432,f1433,f42]) ).

fof(f1433,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f30,f196]) ).

fof(f1432,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f35,f1,f2,f20,f3,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f196,f204,f208,f210,f206,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1332,f1399,f1401,f1402,f1312,f1281,f1275,f1161,f1155,f1154,f1145,f1403,f1138,f1003,f985,f984,f981,f1405,f976,f1409,f1410,f1014,f935,f934,f925,f924,f786,f780,f779,f777,f860,f1417,f1419,f760,f720,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f436,f435,f431,f422,f212,f209,f216,f1427,f1428,f25,f1429,f15,f1430,f10,f1431,f5]) ).

fof(f1431,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f5,f35,f1,f2,f20,f3,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f196,f204,f208,f210,f206,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1332,f1399,f1401,f1402,f1312,f1281,f1275,f1161,f1155,f1154,f1145,f1403,f1138,f1003,f985,f984,f981,f1405,f976,f1409,f1410,f1014,f935,f934,f925,f924,f786,f780,f779,f777,f860,f1417,f1419,f760,f720,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f436,f435,f431,f422,f212,f209,f216,f1427,f1428,f25,f1429,f15,f1430,f10]) ).

fof(f1430,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f10,f5,f35,f1,f2,f20,f3,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f196,f204,f208,f210,f206,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1332,f1399,f1401,f1402,f1312,f1281,f1275,f1161,f1155,f1154,f1145,f1403,f1138,f1003,f985,f984,f981,f1405,f976,f1409,f1410,f1014,f935,f934,f925,f924,f786,f780,f779,f777,f860,f1417,f1419,f760,f720,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f436,f435,f431,f422,f212,f209,f216,f1427,f1428,f25,f1429,f15]) ).

fof(f1429,plain,
    ( sk_c5 = inverse(sk_c6)
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f15,f10,f5,f35,f1,f2,f20,f3,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f196,f204,f208,f210,f206,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1332,f1399,f1401,f1402,f1312,f1281,f1275,f1161,f1155,f1154,f1145,f1403,f1138,f1003,f985,f984,f981,f1405,f976,f1409,f1410,f1014,f935,f934,f925,f924,f786,f780,f779,f777,f860,f1417,f1419,f760,f720,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f436,f435,f431,f422,f212,f209,f216,f1427,f1428,f25]) ).

fof(f1428,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f15,f10,f25,f5,f35,f1,f2,f20,f3,f28,f26,f24,f18,f16,f14,f13,f11,f9,f8,f6,f4,f33,f31,f29,f27,f23,f21,f19,f17,f12,f7,f22,f32,f196,f204,f208,f210,f206,f59,f425,f423,f542,f530,f549,f564,f433,f577,f578,f580,f581,f574,f635,f616,f642,f608,f653,f654,f573,f700,f682,f575,f718,f727,f672,f764,f795,f929,f959,f962,f957,f968,f978,f1061,f1000,f1130,f1009,f1010,f1012,f1013,f1052,f1137,f1147,f1174,f1175,f1176,f1177,f1168,f1273,f1276,f1277,f1278,f1279,f961,f1366,f1322,f1327,f1338,f1339,f1340,f1341,f1343,f1344,f1332,f1399,f1401,f1402,f1312,f1281,f1275,f1161,f1155,f1154,f1145,f1403,f1138,f1003,f985,f984,f981,f1405,f976,f1409,f1410,f1014,f935,f934,f925,f924,f786,f780,f779,f777,f860,f1417,f1419,f760,f720,f719,f715,f673,f669,f1421,f619,f1422,f611,f551,f548,f436,f435,f431,f422,f212,f209,f216,f1427]) ).

fof(f1427,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(sk_c6)
        | sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f1426,f208]) ).

fof(f1426,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(sk_c6)
        | sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | spl0_6 ),
    inference(subsumption_resolution,[],[f35,f204]) ).

fof(f216,plain,
    ( multiply(sk_c5,sk_c5) = multiply(sk_c6,sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f206,f208]) ).

fof(f209,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | spl0_6 ),
    inference(superposition,[],[f3,f208]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f210]) ).

fof(f431,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0))
    | spl0_6 ),
    inference(superposition,[],[f59,f206]) ).

fof(f435,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c6)
    | spl0_6 ),
    inference(superposition,[],[f59,f208]) ).

fof(f436,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | spl0_6 ),
    inference(superposition,[],[f59,f204]) ).

fof(f720,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(inverse(sk_c7),X0))
    | spl0_6 ),
    inference(superposition,[],[f206,f575]) ).

fof(f1417,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,inverse(sk_c5)))
    | spl0_6 ),
    inference(forward_demodulation,[],[f848,f957]) ).

fof(f848,plain,
    ( ! [X0] : identity = multiply(sk_c6,multiply(sk_c7,multiply(X0,inverse(multiply(sk_c5,X0)))))
    | spl0_6 ),
    inference(forward_demodulation,[],[f772,f3]) ).

fof(f772,plain,
    ( ! [X0] : identity = multiply(sk_c6,multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0))))
    | spl0_6 ),
    inference(superposition,[],[f672,f206]) ).

fof(f779,plain,
    ( identity = multiply(sk_c7,multiply(sk_c5,inverse(sk_c6)))
    | spl0_6 ),
    inference(superposition,[],[f672,f208]) ).

fof(f780,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,inverse(sk_c5)))
    | spl0_6 ),
    inference(superposition,[],[f672,f204]) ).

fof(f786,plain,
    ( identity = multiply(sk_c4,multiply(sk_c6,inverse(sk_c7)))
    | spl0_6 ),
    inference(superposition,[],[f672,f210]) ).

fof(f976,plain,
    ( ! [X0] : inverse(sk_c6) = multiply(multiply(sk_c7,X0),inverse(multiply(sk_c5,X0)))
    | spl0_6 ),
    inference(superposition,[],[f957,f206]) ).

fof(f984,plain,
    ( inverse(sk_c7) = multiply(sk_c5,inverse(sk_c6))
    | spl0_6 ),
    inference(superposition,[],[f957,f208]) ).

fof(f985,plain,
    ( inverse(sk_c6) = multiply(sk_c7,inverse(sk_c5))
    | spl0_6 ),
    inference(superposition,[],[f957,f204]) ).

fof(f1003,plain,
    ( ! [X0] : multiply(sk_c5,inverse(multiply(X0,sk_c7))) = multiply(sk_c6,inverse(X0))
    | spl0_6 ),
    inference(superposition,[],[f206,f957]) ).

fof(f1145,plain,
    ( ! [X0] : sk_c6 = multiply(multiply(sk_c5,X0),inverse(multiply(sk_c7,X0)))
    | spl0_6 ),
    inference(superposition,[],[f1052,f206]) ).

fof(f1154,plain,
    ( sk_c7 = multiply(sk_c6,inverse(sk_c5))
    | spl0_6 ),
    inference(superposition,[],[f1052,f208]) ).

fof(f1155,plain,
    ( sk_c6 = multiply(sk_c5,inverse(sk_c7))
    | spl0_6 ),
    inference(superposition,[],[f1052,f204]) ).

fof(f1161,plain,
    ( sk_c4 = multiply(sk_c7,inverse(sk_c6))
    | spl0_6 ),
    inference(superposition,[],[f1052,f210]) ).

fof(f1332,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,inverse(multiply(inverse(X0),sk_c7)))
    | spl0_6 ),
    inference(superposition,[],[f206,f961]) ).

fof(f206,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | spl0_6 ),
    inference(superposition,[],[f3,f204]) ).

fof(f210,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f33,f196]) ).

fof(f208,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f31,f196]) ).

fof(f204,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f29,f196]) ).

fof(f196,plain,
    ( sk_c5 != inverse(sk_c3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f1398,plain,
    ( spl0_3
    | spl0_3
    | spl0_7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f755,f195,f191,f41,f1396,f179,f179]) ).

fof(f755,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,X4)
        | identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f607,f574]) ).

fof(f607,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f606,f251]) ).

fof(f251,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f243,f238]) ).

fof(f238,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f217,f222]) ).

fof(f222,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | spl0_6 ),
    inference(forward_demodulation,[],[f216,f205]) ).

fof(f205,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f62,f204]) ).

fof(f217,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f206,f211]) ).

fof(f211,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f201,f210]) ).

fof(f243,plain,
    ( identity = multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f45,f239]) ).

fof(f239,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f238,f225]) ).

fof(f225,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | ~ spl0_2
    | spl0_6 ),
    inference(superposition,[],[f62,f222]) ).

fof(f606,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X6,sk_c7)
        | identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f605,f239]) ).

fof(f605,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f604,f251]) ).

fof(f604,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(X5,identity)
        | identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f603,f271]) ).

fof(f271,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f270,f1]) ).

fof(f270,plain,
    ( sk_c5 = multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f269,f251]) ).

fof(f269,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f261,f239]) ).

fof(f261,plain,
    ( sk_c5 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(superposition,[],[f204,f251]) ).

fof(f603,plain,
    ( ! [X6,X4,X5] :
        ( identity != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f602,f251]) ).

fof(f602,plain,
    ( ! [X6,X4,X5] :
        ( sk_c7 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f601,f239]) ).

fof(f601,plain,
    ( ! [X6,X4,X5] :
        ( sk_c6 != multiply(identity,multiply(X4,identity))
        | identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f600,f251]) ).

fof(f600,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X4)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f599,f251]) ).

fof(f599,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f598,f251]) ).

fof(f598,plain,
    ( ! [X6,X4,X5] :
        ( identity != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(forward_demodulation,[],[f597,f271]) ).

fof(f597,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f596,f225]) ).

fof(f596,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f595,f208]) ).

fof(f595,plain,
    ( ! [X6,X4,X5] :
        ( sk_c5 != inverse(X5)
        | sk_c7 != inverse(X6)
        | sk_c7 != inverse(X4)
        | sk_c6 != multiply(sk_c7,sk_c5)
        | sk_c6 != multiply(sk_c7,multiply(X4,sk_c7))
        | sk_c7 != multiply(X5,sk_c5)
        | sk_c7 != multiply(X6,sk_c6)
        | multiply(sk_c5,sk_c7) != sk_c6 )
    | ~ spl0_2
    | spl0_6 ),
    inference(subsumption_resolution,[],[f103,f204]) ).

fof(f198,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f32,f195,f191]) ).

fof(f184,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f154,f41,f37,f182,f179,f179]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f20,f41,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : GRP368-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Tue Apr 30 04:37:21 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  % (13380)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.29  % (13383)WARNING: value z3 for option sas not known
% 0.12/0.29  % (13383)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)
% 0.12/0.29  % (13382)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.29  % (13385)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)
% 0.12/0.30  % (13384)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.30  % (13386)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)
% 0.12/0.30  % (13381)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.30  % (13387)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)
% 0.12/0.30  TRYING [1]
% 0.12/0.30  TRYING [2]
% 0.12/0.30  TRYING [3]
% 0.12/0.30  TRYING [1]
% 0.12/0.30  TRYING [2]
% 0.12/0.31  TRYING [4]
% 0.12/0.31  TRYING [3]
% 0.12/0.32  TRYING [5]
% 0.12/0.32  TRYING [4]
% 0.12/0.34  TRYING [6]
% 0.12/0.37  % (13383)First to succeed.
% 0.12/0.37  TRYING [5]
% 0.12/0.39  % (13383)Refutation found. Thanks to Tanya!
% 0.12/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.40  % (13383)------------------------------
% 0.12/0.40  % (13383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.40  % (13383)Termination reason: Refutation
% 0.12/0.40  
% 0.12/0.40  % (13383)Memory used [KB]: 2353
% 0.12/0.40  % (13383)Time elapsed: 0.096 s
% 0.12/0.40  % (13383)Instructions burned: 324 (million)
% 0.12/0.40  % (13383)------------------------------
% 0.12/0.40  % (13383)------------------------------
% 0.12/0.40  % (13380)Success in time 0.108 s
%------------------------------------------------------------------------------