%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP229-1 : 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 : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:55:40 EDT 2024

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  885 ( 111 unt;   0 def)
%            Number of atoms       : 3558 (1485 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives : 5031 (2358   ~;2663   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   12 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  723 ( 723   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3382,plain,
    $false,
    inference(avatar_sat_refutation,[],[f45,f304,f380,f854,f930,f1923,f2080,f2268,f2482,f2490,f2663,f2669,f2674,f2679,f2684,f2686,f2688,f2690,f2696,f2704,f2710,f2744,f2748,f2750,f2763,f2770,f2787,f2835,f2840,f2899,f3057,f3236,f3246,f3248,f3250,f3252,f3254,f3256,f3258,f3260,f3263,f3265,f3267,f3269,f3271,f3273,f3275,f3277,f3279,f3281,f3283,f3285,f3287,f3289,f3291,f3293,f3295,f3297,f3299,f3301,f3303,f3305,f3307,f3309,f3311,f3313,f3315,f3317,f3319,f3321,f3323,f3325,f3327,f3329,f3331,f3333,f3335,f3337,f3339,f3341,f3343,f3345,f3347,f3349,f3351,f3354,f3356,f3358,f3360,f3362,f3364,f3366,f3368,f3370,f3372,f3374,f3376,f3379,f3381]) ).

fof(f3381,plain,
    ( spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3380]) ).

fof(f3380,plain,
    ( $false
    | spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f379,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777,f2782,f924]) ).

fof(f924,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f923,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2782,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f924,f27,f2771,f26,f2776,f32,f2777,f33]) ).

fof(f2777,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f924,f27,f2771,f26,f2776,f32]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f3352,plain,
    ( sk_c8 = inverse(sk_c5)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f9,f43]) ).

fof(f3064,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f8,f43]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f26,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f32,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f24,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f12,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f3059,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f6,f43]) ).

fof(f3261,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f5,f43]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f3061,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f7,f43]) ).

fof(f3243,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f24,f21,f14,f18,f20,f12,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f3241,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f24,f21,f14,f18,f19,f20,f12,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f3240,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f24,f21,f13,f14,f18,f19,f20,f12,f15,f8,f7,f6,f9,f43,f31,f3239,f25]) ).

fof(f25,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f3239,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_2 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f25,f24,f21,f13,f14,f18,f19,f20,f12,f15,f8,f7,f6,f9,f43,f31]) ).

fof(f31,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f43,plain,
    ( inverse(sk_c1) != sk_c8
    | spl0_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl0_2
  <=> inverse(sk_c1) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f6,axiom,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f7,axiom,
    ( inverse(sk_c1) = sk_c8
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f8,axiom,
    ( inverse(sk_c1) = sk_c8
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f2776,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f32,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f924,f27,f2771,f26]) ).

fof(f2771,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f26,f25,f24,f20,f19,f18,f14,f13,f12,f32,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f924,f27]) ).

fof(f1870,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1522,f1443]) ).

fof(f1868,plain,
    ! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(inverse(multiply(X0,X1)),multiply(X0,X2)),
    inference(superposition,[],[f3,f1443]) ).

fof(f1864,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1439,f1443]) ).

fof(f1847,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f1443,f654]) ).

fof(f1846,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1443,f60]) ).

fof(f1834,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)),
    inference(superposition,[],[f1443,f3]) ).

fof(f1443,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f1375,f671]) ).

fof(f1375,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f1346,f1346]) ).

fof(f1734,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f3,f1350]) ).

fof(f1733,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f654,f1350]) ).

fof(f1731,plain,
    ! [X2,X0,X1] : multiply(X1,X2) = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)),
    inference(superposition,[],[f3,f1350]) ).

fof(f1730,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[],[f60,f1350]) ).

fof(f1729,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),inverse(X1))),
    inference(superposition,[],[f766,f1350]) ).

fof(f1728,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(X1),X0)),inverse(X1)),
    inference(superposition,[],[f1346,f1350]) ).

fof(f1716,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(X0,X1))))) = X2,
    inference(superposition,[],[f1350,f3]) ).

fof(f1707,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(X0))),inverse(X1)) = X0,
    inference(superposition,[],[f1350,f1350]) ).

fof(f1774,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),X1) = X0,
    inference(forward_demodulation,[],[f1706,f671]) ).

fof(f1706,plain,
    ! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))) = X0,
    inference(superposition,[],[f1350,f1346]) ).

fof(f1350,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(forward_demodulation,[],[f1242,f653]) ).

fof(f1242,plain,
    ! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
    inference(superposition,[],[f654,f766]) ).

fof(f1639,plain,
    ! [X2,X0,X1] : multiply(X0,X2) = multiply(multiply(X0,inverse(X1)),multiply(X1,X2)),
    inference(superposition,[],[f3,f1522]) ).

fof(f1638,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
    inference(superposition,[],[f60,f1522]) ).

fof(f1637,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,inverse(X1)),multiply(X1,inverse(X0))),
    inference(superposition,[],[f766,f1522]) ).

fof(f1636,plain,
    ! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
    inference(superposition,[],[f1346,f1522]) ).

fof(f1633,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
    inference(superposition,[],[f1522,f3]) ).

fof(f1522,plain,
    ! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
    inference(superposition,[],[f1439,f671]) ).

fof(f1534,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
    inference(superposition,[],[f3,f1439]) ).

fof(f1533,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
    inference(superposition,[],[f60,f1439]) ).

fof(f1532,plain,
    ! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
    inference(superposition,[],[f766,f1439]) ).

fof(f1531,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    inference(superposition,[],[f1346,f1439]) ).

fof(f1508,plain,
    ! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
    inference(superposition,[],[f1439,f654]) ).

fof(f1495,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
    inference(superposition,[],[f1439,f3]) ).

fof(f1439,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f1371,f671]) ).

fof(f1371,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(superposition,[],[f1346,f60]) ).

fof(f1403,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f3,f1346]) ).

fof(f1402,plain,
    ! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
    inference(superposition,[],[f654,f1346]) ).

fof(f1400,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
    inference(superposition,[],[f3,f1346]) ).

fof(f1399,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f60,f1346]) ).

fof(f1486,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
    inference(forward_demodulation,[],[f1398,f671]) ).

fof(f1398,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
    inference(superposition,[],[f766,f1346]) ).

fof(f1389,plain,
    ! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
    inference(superposition,[],[f1346,f3]) ).

fof(f1372,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(superposition,[],[f1346,f654]) ).

fof(f1359,plain,
    ! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
    inference(superposition,[],[f1346,f3]) ).

fof(f1346,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f1239,f653]) ).

fof(f1239,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f60,f766]) ).

fof(f1351,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1243,f3]) ).

fof(f1243,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f3,f766]) ).

fof(f1348,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(forward_demodulation,[],[f1347,f3]) ).

fof(f1347,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = X2,
    inference(forward_demodulation,[],[f1240,f1]) ).

fof(f1240,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)) = multiply(identity,X2),
    inference(superposition,[],[f3,f766]) ).

fof(f1321,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
    inference(forward_demodulation,[],[f1226,f3]) ).

fof(f1226,plain,
    ! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
    inference(superposition,[],[f766,f3]) ).

fof(f1215,plain,
    ! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
    inference(superposition,[],[f766,f3]) ).

fof(f1186,plain,
    ! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
    inference(superposition,[],[f766,f3]) ).

fof(f766,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f651,f3]) ).

fof(f630,plain,
    identity = inverse(identity),
    inference(superposition,[],[f584,f205]) ).

fof(f633,plain,
    identity = inverse(identity),
    inference(superposition,[],[f205,f584]) ).

fof(f673,plain,
    identity = inverse(identity),
    inference(superposition,[],[f653,f2]) ).

fof(f674,plain,
    identity = inverse(identity),
    inference(superposition,[],[f653,f204]) ).

fof(f862,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f675,f671]) ).

fof(f675,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f653,f584]) ).

fof(f684,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f653]) ).

fof(f685,plain,
    identity = inverse(identity),
    inference(superposition,[],[f204,f653]) ).

fof(f861,plain,
    identity = inverse(identity),
    inference(forward_demodulation,[],[f686,f671]) ).

fof(f686,plain,
    identity = inverse(inverse(inverse(identity))),
    inference(superposition,[],[f584,f653]) ).

fof(f761,plain,
    identity = inverse(identity),
    inference(superposition,[],[f651,f1]) ).

fof(f767,plain,
    identity = inverse(identity),
    inference(superposition,[],[f1,f651]) ).

fof(f828,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f654]) ).

fof(f818,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f654,f3]) ).

fof(f654,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f217,f60]) ).

fof(f777,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f651]) ).

fof(f793,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f775,f1]) ).

fof(f775,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f651]) ).

fof(f651,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f217,f2]) ).

fof(f730,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f671]) ).

fof(f729,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f671]) ).

fof(f671,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f653,f205]) ).

fof(f717,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f694,f653]) ).

fof(f694,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f217,f653]) ).

fof(f682,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f205,f653]) ).

fof(f706,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f678,f653]) ).

fof(f678,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f653,f217]) ).

fof(f653,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f217,f205]) ).

fof(f662,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f60,f217]) ).

fof(f661,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f205,f217]) ).

fof(f658,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f60,f217]) ).

fof(f657,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f217]) ).

fof(f217,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f60,f60]) ).

fof(f645,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f632,f1]) ).

fof(f632,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f584]) ).

fof(f631,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f60,f584]) ).

fof(f584,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f60,f205]) ).

fof(f589,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f585,f1]) ).

fof(f585,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f205]) ).

fof(f205,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f60,f2]) ).

fof(f402,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f60,f204]) ).

fof(f204,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f60,f1]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c2)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f10,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f16,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f22,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f36,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X6,sk_c7) ),
    inference(equality_resolution,[],[f35]) ).

fof(f35,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(X8,sk_c8) != X7 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X6)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(X5,sk_c8) != X4
      | multiply(X8,sk_c8) != X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f208,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f60,f3]) ).

fof(f60,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f53,f1]) ).

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

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

fof(f4,axiom,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

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(f5,axiom,
    ( sk_c8 = inverse(sk_c4)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f379,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_4
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f3379,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3378]) ).

fof(f3378,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f3377,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777,f2782,f924]) ).

fof(f3377,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f899,f40]) ).

fof(f40,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_1
  <=> inverse(sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f899,plain,
    ( inverse(sk_c8) = sk_c4
    | ~ spl0_4 ),
    inference(superposition,[],[f671,f379]) ).

fof(f3376,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3375]) ).

fof(f3375,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f2856,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777,f2782,f924]) ).

fof(f2856,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f900,f653]) ).

fof(f900,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f894,f40]) ).

fof(f894,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_4 ),
    inference(superposition,[],[f205,f379]) ).

fof(f3374,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3373]) ).

fof(f3373,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f2874,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777,f2782,f924]) ).

fof(f2874,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f379,f2856]) ).

fof(f3372,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3371]) ).

fof(f3371,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(global_subsumption,[],[f3090,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777,f2782,f924]) ).

fof(f3090,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(global_subsumption,[],[f3089,f5,f1,f2,f4,f3,f60,f208,f36,f31,f30,f23,f22,f17,f16,f11,f10,f28,f29,f375,f381,f382,f389,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f25,f24,f21,f13,f14,f18,f19,f20,f12,f15,f8,f7,f6,f9]) ).

fof(f389,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f385,f1]) ).

fof(f385,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f382]) ).

fof(f382,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f375]) ).

fof(f381,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_3 ),
    inference(superposition,[],[f60,f375]) ).

fof(f375,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f373,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3089,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f30,f2856]) ).

fof(f3370,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3369]) ).

fof(f3369,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777,f2782,f924]) ).

fof(f3368,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3367]) ).

fof(f3367,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f924,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777,f2782]) ).

fof(f3366,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3365]) ).

fof(f3365,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2782,f924,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33,f2777]) ).

fof(f3364,plain,
    ( spl0_2
    | spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3363]) ).

fof(f3363,plain,
    ( $false
    | spl0_2
    | spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f2074,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33]) ).

fof(f2074,plain,
    ( identity != sk_c6
    | spl0_9 ),
    inference(avatar_component_clause,[],[f2073]) ).

fof(f2073,plain,
    ( spl0_9
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f3362,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3361]) ).

fof(f3361,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27,f33]) ).

fof(f3360,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3359]) ).

fof(f3359,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21,f27]) ).

fof(f3358,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3357]) ).

fof(f3357,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15,f21]) ).

fof(f3356,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3355]) ).

fof(f3355,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352,f15]) ).

fof(f3354,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3353]) ).

fof(f3353,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064,f3352]) ).

fof(f3351,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3350]) ).

fof(f3350,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f669,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f669,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f653,f328]) ).

fof(f328,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f327]) ).

fof(f327,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f40]) ).

fof(f3349,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3348]) ).

fof(f3348,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f680,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f680,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f328,f653]) ).

fof(f3347,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3346]) ).

fof(f3346,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f2864,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f2864,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f687,f653]) ).

fof(f687,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f653]) ).

fof(f337,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f336,f1]) ).

fof(f336,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f328]) ).

fof(f3345,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3344]) ).

fof(f3344,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f2865,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f2865,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f676,f653]) ).

fof(f676,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f653,f337]) ).

fof(f3343,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3342]) ).

fof(f3342,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f720,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f720,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f671,f40]) ).

fof(f3341,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3340]) ).

fof(f3340,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1935,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f1935,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1369,f1439]) ).

fof(f1369,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1346,f326]) ).

fof(f326,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f40]) ).

fof(f3339,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3338]) ).

fof(f3338,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f2848,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f2848,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1777,f653]) ).

fof(f1777,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1709,f630]) ).

fof(f1709,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1350,f335]) ).

fof(f335,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f328]) ).

fof(f3337,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3336]) ).

fof(f3336,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f2851,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f2851,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1457,f653]) ).

fof(f1457,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1381,f630]) ).

fof(f1381,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1346,f327]) ).

fof(f3335,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3334]) ).

fof(f3334,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f2852,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f2852,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1452,f653]) ).

fof(f1452,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1451,f671]) ).

fof(f1451,plain,
    ( multiply(sk_c8,identity) = inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1379,f630]) ).

fof(f1379,plain,
    ( inverse(inverse(inverse(sk_c7))) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1346,f335]) ).

fof(f3333,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3332]) ).

fof(f3332,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1538,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f1538,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1492,f1439]) ).

fof(f1492,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,X0),inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f1439,f337]) ).

fof(f3331,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3330]) ).

fof(f3330,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1917,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f1917,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1859,f204]) ).

fof(f1859,plain,
    ( inverse(sk_c7) = multiply(inverse(identity),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f1443,f406]) ).

fof(f406,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f2]) ).

fof(f3329,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3328]) ).

fof(f3328,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f2849,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f2849,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1543,f653]) ).

fof(f1543,plain,
    ( multiply(sk_c8,identity) = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1497,f630]) ).

fof(f1497,plain,
    ( inverse(sk_c7) = multiply(sk_c8,inverse(identity))
    | ~ spl0_1 ),
    inference(superposition,[],[f1439,f328]) ).

fof(f3327,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3326]) ).

fof(f3326,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1676,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f1676,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f1629,f1522]) ).

fof(f1629,plain,
    ( ! [X0] : inverse(sk_c7) = multiply(multiply(sk_c8,inverse(X0)),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f1522,f337]) ).

fof(f3325,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3324]) ).

fof(f3324,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f1519,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f1519,plain,
    ( sk_c8 = multiply(identity,inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1439,f406]) ).

fof(f3323,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3322]) ).

fof(f3322,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20,f3064]) ).

fof(f3321,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3320]) ).

fof(f3320,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14,f20]) ).

fof(f3319,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3318]) ).

fof(f3318,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26,f14]) ).

fof(f3317,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3316]) ).

fof(f3316,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32,f26]) ).

fof(f3315,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3314]) ).

fof(f3314,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30,f32]) ).

fof(f3313,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3312]) ).

fof(f3312,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24,f30]) ).

fof(f3311,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3310]) ).

fof(f3310,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f3061,f23,f11,f17,f3261,f3059,f12,f18,f24]) ).

fof(f3309,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3308]) ).

fof(f3308,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f3061,f23,f11,f17,f3261,f3059,f12,f18]) ).

fof(f3307,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3306]) ).

fof(f3306,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f3061,f23,f11,f17,f3261,f3059,f12]) ).

fof(f3305,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3304]) ).

fof(f3304,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3061,f23,f11,f17,f3261,f3059]) ).

fof(f3303,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3302]) ).

fof(f3302,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3061,f23,f11,f17,f3261]) ).

fof(f3301,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3300]) ).

fof(f3300,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f3061,f23,f11,f17]) ).

fof(f3299,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3298]) ).

fof(f3298,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f3061,f23,f11]) ).

fof(f3297,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3296]) ).

fof(f3296,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f3061,f23]) ).

fof(f3295,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3294]) ).

fof(f3294,plain,
    ( $false
    | spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2771,f2776,f2777,f2782,f924,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3293,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3292]) ).

fof(f3292,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061,f378]) ).

fof(f378,plain,
    ( sk_c8 != inverse(sk_c4)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f3291,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3290]) ).

fof(f3290,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f2075,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f2075,plain,
    ( identity = sk_c6
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f2073]) ).

fof(f3289,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3288]) ).

fof(f3288,plain,
    ( $false
    | spl0_2
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3063,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3063,plain,
    ( sk_c8 = sk_c7
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3062,f653]) ).

fof(f3062,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3061,f2075]) ).

fof(f3287,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3286]) ).

fof(f3286,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3110,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3110,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f375,f3108]) ).

fof(f3108,plain,
    ( sk_c8 = sk_c2
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3096,f3063]) ).

fof(f3096,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f721,f40]) ).

fof(f721,plain,
    ( inverse(sk_c8) = sk_c2
    | ~ spl0_3 ),
    inference(superposition,[],[f671,f375]) ).

fof(f3285,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3284]) ).

fof(f3284,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3108,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3283,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3282]) ).

fof(f3282,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3088,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3088,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3087,f5,f1,f2,f4,f3,f60,f208,f36,f31,f30,f23,f22,f17,f16,f11,f10,f28,f29,f375,f381,f382,f389,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f25,f24,f21,f13,f14,f18,f19,f20,f12,f15,f8,f7,f6,f9]) ).

fof(f3087,plain,
    ( sk_c8 = sk_c7
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3086,f653]) ).

fof(f3086,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f31,f2075]) ).

fof(f3281,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3280]) ).

fof(f3280,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f3103,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3103,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f2875,f3063]) ).

fof(f2875,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f925,f944]) ).

fof(f944,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f938,f40]) ).

fof(f938,plain,
    ( inverse(sk_c8) = sk_c5
    | ~ spl0_7 ),
    inference(superposition,[],[f671,f925]) ).

fof(f925,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f3279,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3278]) ).

fof(f3278,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f3092,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3092,plain,
    ( identity = sk_c6
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3091,f327]) ).

fof(f3091,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f26,f944]) ).

fof(f3277,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3276]) ).

fof(f3276,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f3077,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3077,plain,
    ( identity = sk_c6
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3076,f327]) ).

fof(f3076,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f14,f944]) ).

fof(f3275,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3274]) ).

fof(f3274,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f3070,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3070,plain,
    ( identity = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3069,f327]) ).

fof(f3069,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f20,f944]) ).

fof(f3273,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f3272]) ).

fof(f3272,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f3066,f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3066,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3065,f327]) ).

fof(f3065,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3064,f944]) ).

fof(f3271,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3270]) ).

fof(f3270,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f30,f24,f18,f12,f3059,f3261,f17,f11,f23,f3061]) ).

fof(f3269,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3268]) ).

fof(f3268,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24,f18,f12,f3059,f3261,f17,f11,f23]) ).

fof(f3267,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3266]) ).

fof(f3266,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f16,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24,f18,f12,f3059,f3261,f17,f11]) ).

fof(f3265,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3264]) ).

fof(f3264,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f16,f11,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24,f18,f12,f3059,f3261,f17]) ).

fof(f3263,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3262]) ).

fof(f3262,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f17,f16,f11,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24,f18,f12,f3059,f3261]) ).

fof(f3260,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3259]) ).

fof(f3259,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f17,f16,f11,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24,f18,f12,f3059]) ).

fof(f3258,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3257]) ).

fof(f3257,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f17,f16,f11,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24,f18,f12]) ).

fof(f3256,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3255]) ).

fof(f3255,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f17,f16,f11,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f20,f12,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24,f18]) ).

fof(f3254,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3253]) ).

fof(f3253,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f17,f16,f11,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f21,f14,f18,f20,f12,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30,f24]) ).

fof(f3252,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f3251]) ).

fof(f3251,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f23,f22,f17,f16,f11,f10,f28,f29,f378,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f24,f21,f14,f18,f20,f12,f15,f8,f7,f6,f9,f43,f31,f3239,f25,f3240,f13,f3241,f19,f3243,f3061,f30]) ).

fof(f3250,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3249]) ).

fof(f3249,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f40,f327,f330,f328,f326,f343,f335,f366,f368,f29,f204,f402,f337,f410,f411,f406,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f2798,f2505,f24,f1935,f1505,f1619,f1696,f1725,f1917,f1844,f1830,f1722,f1713,f2848,f1689,f1676,f1526,f1519,f2849,f1538,f1396,f1393,f1386,f2851,f2852,f1212,f21,f2857,f14,f18,f20,f720,f2864,f680,f2865,f669,f12,f15,f2867,f2869,f8,f7,f6,f9,f2873,f43,f944,f2876,f2877,f2878,f2879,f2880,f2875,f2891,f2892,f2893,f842,f837,f798,f414,f408,f2884,f737,f3094,f3092,f3238,f31,f3239,f25,f3240,f13,f3241,f3077,f3242,f19,f3243,f3070,f3244,f3066,f3061,f2074]) ).

fof(f3244,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f40,f327,f330,f328,f326,f343,f335,f366,f368,f29,f204,f402,f337,f410,f411,f406,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f2798,f2505,f24,f1935,f1505,f1619,f1696,f1725,f1917,f1844,f1830,f1722,f1713,f2848,f1689,f1676,f1526,f1519,f2849,f1538,f1396,f1393,f1386,f2851,f2852,f1212,f21,f2857,f14,f18,f20,f720,f2864,f680,f2865,f669,f12,f15,f2867,f2869,f8,f7,f6,f9,f2873,f2074,f944,f2876,f2877,f2878,f2879,f2880,f2875,f2891,f2892,f2893,f842,f837,f798,f414,f408,f2884,f737,f3094,f3092,f3238,f31,f25,f13,f3077,f3242,f19,f3070]) ).

fof(f3242,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f40,f327,f330,f328,f326,f343,f335,f366,f368,f29,f204,f402,f337,f410,f411,f406,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f2798,f2505,f24,f1935,f1505,f1619,f1696,f1725,f1917,f1844,f1830,f1722,f1713,f2848,f1689,f1676,f1526,f1519,f2849,f1538,f1396,f1393,f1386,f2851,f2852,f1212,f21,f2857,f14,f18,f19,f20,f720,f2864,f680,f2865,f669,f12,f15,f2867,f2869,f8,f7,f6,f9,f2873,f2074,f944,f2876,f2877,f2878,f2879,f2880,f2875,f2891,f2892,f2893,f842,f837,f798,f414,f408,f2884,f737,f3094,f3092,f3238,f31,f25,f13,f3077]) ).

fof(f3238,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f31,f30,f23,f22,f17,f16,f11,f10,f28,f40,f327,f330,f328,f326,f343,f335,f366,f368,f29,f204,f402,f337,f410,f411,f406,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f2798,f2505,f25,f24,f1935,f1505,f1619,f1696,f1725,f1917,f1844,f1830,f1722,f1713,f2848,f1689,f1676,f1526,f1519,f2849,f1538,f1396,f1393,f1386,f2851,f2852,f1212,f21,f2857,f13,f14,f18,f19,f20,f720,f2864,f680,f2865,f669,f12,f15,f2867,f2869,f8,f7,f6,f9,f2873,f2074,f944,f2876,f2877,f2878,f2879,f2880,f2875,f2891,f2892,f2893,f842,f837,f798,f414,f408,f2884,f737,f3094,f3092]) ).

fof(f3094,plain,
    ( identity = sk_c6
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f3093,f327]) ).

fof(f3093,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f32,f944]) ).

fof(f737,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f36,f40]) ).

fof(f2884,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f2875]) ).

fof(f408,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f60]) ).

fof(f414,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f337]) ).

fof(f798,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f654,f40]) ).

fof(f837,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f815,f217]) ).

fof(f815,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f654,f337]) ).

fof(f842,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f821,f217]) ).

fof(f821,plain,
    ( ! [X0] : multiply(sk_c8,multiply(inverse(inverse(sk_c7)),X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f654]) ).

fof(f2893,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f1522,f2875]) ).

fof(f2892,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f1439,f2875]) ).

fof(f2891,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f1350,f2875]) ).

fof(f2880,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2873,f944]) ).

fof(f2879,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2867,f944]) ).

fof(f2878,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2857,f944]) ).

fof(f2877,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2796,f944]) ).

fof(f2876,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2791,f944]) ).

fof(f2873,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f31,f30,f23,f22,f17,f16,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f25,f24,f21,f2857,f13,f14,f18,f19,f20,f12,f15,f2867,f8,f7,f6,f9]) ).

fof(f2869,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f422,f1]) ).

fof(f422,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f406]) ).

fof(f2867,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f31,f30,f23,f22,f17,f16,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f25,f24,f21,f2857,f13,f14,f18,f19,f20,f12,f15]) ).

fof(f2857,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f25,f24,f21]) ).

fof(f1212,plain,
    ( ! [X0] : identity = multiply(X0,multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7)))))
    | ~ spl0_1 ),
    inference(superposition,[],[f766,f337]) ).

fof(f1386,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f1346,f337]) ).

fof(f1393,plain,
    ( ! [X0] : inverse(X0) = multiply(sk_c8,inverse(multiply(X0,inverse(sk_c7))))
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f1346]) ).

fof(f1396,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c7,inverse(X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f1346]) ).

fof(f1526,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c7) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1439,f40]) ).

fof(f1689,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c7,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1350,f40]) ).

fof(f1713,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1350,f337]) ).

fof(f1722,plain,
    ( ! [X0] : multiply(sk_c8,inverse(multiply(inverse(X0),inverse(sk_c7)))) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f337,f1350]) ).

fof(f1830,plain,
    ( ! [X0] : inverse(X0) = multiply(inverse(multiply(sk_c8,X0)),inverse(sk_c7))
    | ~ spl0_1 ),
    inference(superposition,[],[f1443,f337]) ).

fof(f1844,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f1443,f326]) ).

fof(f1725,plain,
    ( ! [X0] : multiply(sk_c7,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f1350]) ).

fof(f1696,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1350,f337]) ).

fof(f1619,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c7),sk_c8) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f1522,f40]) ).

fof(f1505,plain,
    ( ! [X0] : sk_c7 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1 ),
    inference(superposition,[],[f1439,f326]) ).

fof(f2505,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f938,f40]) ).

fof(f2798,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f938,f40]) ).

fof(f2791,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f925,f27,f26,f32,f33]) ).

fof(f2796,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f925,f33,f2791,f32,f26,f27]) ).

fof(f937,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f654,f925]) ).

fof(f936,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_7 ),
    inference(superposition,[],[f651,f925]) ).

fof(f943,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f935,f671]) ).

fof(f935,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f584,f925]) ).

fof(f932,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_7 ),
    inference(superposition,[],[f60,f925]) ).

fof(f931,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f925]) ).

fof(f411,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f337]) ).

fof(f410,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f337]) ).

fof(f368,plain,
    ( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f367,f1]) ).

fof(f367,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f335]) ).

fof(f366,plain,
    ( sk_c8 = multiply(inverse(inverse(inverse(sk_c7))),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f335]) ).

fof(f343,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f326]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f329,f1]) ).

fof(f329,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f327]) ).

fof(f3248,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3247]) ).

fof(f3247,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f40,f327,f330,f328,f326,f343,f335,f366,f368,f29,f204,f402,f337,f410,f411,f406,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f2798,f2505,f24,f1935,f1505,f1619,f1696,f1725,f1917,f1844,f1830,f1722,f1713,f2848,f1689,f1676,f1526,f1519,f2849,f1538,f1396,f1393,f1386,f2851,f2852,f1212,f21,f2857,f14,f18,f20,f720,f2864,f680,f2865,f669,f12,f15,f2867,f2869,f8,f7,f6,f9,f2873,f2074,f43,f944,f2876,f2877,f2878,f2879,f2880,f2875,f2891,f2892,f2893,f842,f837,f798,f414,f408,f2884,f737,f3094,f3092,f3238,f31,f3239,f25,f3240,f13,f3241,f3077,f3242,f19,f3243,f3070,f3244,f3066,f3061]) ).

fof(f3246,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f3245]) ).

fof(f3245,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | spl0_9 ),
    inference(global_subsumption,[],[f5,f1,f2,f4,f3,f60,f208,f36,f30,f23,f22,f17,f16,f11,f10,f28,f40,f327,f330,f328,f326,f343,f335,f366,f368,f29,f204,f402,f337,f410,f411,f406,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f931,f932,f943,f936,f937,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f26,f27,f2796,f2791,f925,f2798,f2505,f24,f1935,f1505,f1619,f1696,f1725,f1917,f1844,f1830,f1722,f1713,f2848,f1689,f1676,f1526,f1519,f2849,f1538,f1396,f1393,f1386,f2851,f2852,f1212,f21,f2857,f14,f18,f20,f720,f2864,f680,f2865,f669,f12,f15,f2867,f2869,f8,f7,f6,f9,f2873,f2074,f43,f944,f2876,f2877,f2878,f2879,f2880,f2875,f2891,f2892,f2893,f842,f837,f798,f414,f408,f2884,f737,f3094,f3092,f3238,f31,f3239,f25,f3240,f13,f3241,f3077,f3242,f19,f3243,f3070,f3244,f3066]) ).

fof(f3236,plain,
    ( spl0_5
    | spl0_5
    | spl0_6
    | spl0_6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f3208,f2073,f377,f42,f38,f852,f852,f849,f849]) ).

fof(f849,plain,
    ( spl0_5
  <=> ! [X8] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f852,plain,
    ( spl0_6
  <=> ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f3208,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3207,f3146]) ).

fof(f3146,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3139,f2]) ).

fof(f3139,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f60,f3130]) ).

fof(f3130,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3060,f3063]) ).

fof(f3060,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f3059,f2856]) ).

fof(f3207,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3206,f3063]) ).

fof(f3206,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3205,f3146]) ).

fof(f3205,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,sk_c8)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3204,f3063]) ).

fof(f3204,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3203,f3146]) ).

fof(f3203,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3202,f3063]) ).

fof(f3202,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3201,f653]) ).

fof(f3201,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3200,f3146]) ).

fof(f3200,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3199,f3146]) ).

fof(f3199,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3198,f3063]) ).

fof(f3198,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3197,f653]) ).

fof(f3197,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3196,f3146]) ).

fof(f3196,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3195,f3146]) ).

fof(f3195,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3194,f3146]) ).

fof(f3194,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3193,f3146]) ).

fof(f3193,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f737,f3146]) ).

fof(f3057,plain,
    ( spl0_5
    | spl0_5
    | spl0_6
    | spl0_6
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f3035,f2073,f377,f373,f38,f852,f852,f849,f849]) ).

fof(f3035,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3034,f2937]) ).

fof(f2937,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2936,f327]) ).

fof(f2936,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2935,f2856]) ).

fof(f2935,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2844,f2904]) ).

fof(f2904,plain,
    ( sk_c8 = sk_c7
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2903,f653]) ).

fof(f2903,plain,
    ( sk_c7 = multiply(sk_c8,identity)
    | spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f2842,f2075]) ).

fof(f2842,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f31,f374]) ).

fof(f374,plain,
    ( sk_c8 != inverse(sk_c2)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f2844,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_3 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f2793,f26,f2794,f27,f374,f2841,f2842,f25,f2843,f24]) ).

fof(f2843,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | spl0_3 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f33,f32,f2793,f26,f2794,f27,f374,f2841,f2842,f25]) ).

fof(f2841,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f30,f374]) ).

fof(f2794,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f27,f374,f33,f32,f2793,f26]) ).

fof(f2793,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | spl0_3 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f27,f26,f374,f33,f32]) ).

fof(f3034,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,sk_c8)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3033,f2904]) ).

fof(f3033,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3032,f2937]) ).

fof(f3032,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,sk_c8)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3031,f2904]) ).

fof(f3031,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3030,f2937]) ).

fof(f3030,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3029,f2904]) ).

fof(f3029,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3028,f653]) ).

fof(f3028,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3027,f2937]) ).

fof(f3027,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3026,f2937]) ).

fof(f3026,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3025,f2904]) ).

fof(f3025,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3024,f653]) ).

fof(f3024,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3023,f2937]) ).

fof(f3023,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3022,f2937]) ).

fof(f3022,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3021,f2937]) ).

fof(f3021,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f3020,f2937]) ).

fof(f3020,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f737,f2937]) ).

fof(f2899,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2898]) ).

fof(f2898,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2897,f2074]) ).

fof(f2897,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2896,f327]) ).

fof(f2896,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2793,f944]) ).

fof(f2840,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2839]) ).

fof(f2839,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2838,f2078]) ).

fof(f2078,plain,
    ( sk_c1 != multiply(sk_c8,identity)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f2077]) ).

fof(f2077,plain,
    ( spl0_10
  <=> sk_c1 = multiply(sk_c8,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2838,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_9 ),
    inference(superposition,[],[f2788,f2075]) ).

fof(f2788,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f29,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f786,f767,f761,f719,f861,f685,f684,f709,f862,f674,f673,f698,f633,f877,f878,f881,f890,f463,f891,f789,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f1845,f1895,f1843,f1924,f1724,f1723,f1925,f1744,f1929,f1618,f1617,f1592,f1506,f1933,f1504,f1480,f1395,f1394,f880,f1524,f2005,f2011,f2015,f2016,f2017,f2018,f1525,f2041,f2047,f2051,f2052,f2053,f2054,f1687,f2134,f2090,f2102,f2117,f2118,f2170,f2121,f2122,f1688,f2219,f2178,f2189,f2205,f2206,f2263,f2209,f2210,f860,f27,f2774,f26,f32,f2778,f33,f889,f873,f374,f875]) ).

fof(f875,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f874,f423]) ).

fof(f874,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f19,f423]) ).

fof(f873,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f20,f423]) ).

fof(f889,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f21,f423]) ).

fof(f2778,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f31,f423]) ).

fof(f2774,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f25,f423]) ).

fof(f860,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,sk_c1)
        | sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f859,f423]) ).

fof(f859,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f858,f423]) ).

fof(f858,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f857,f423]) ).

fof(f857,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f737,f423]) ).

fof(f2210,plain,
    ( ! [X0,X1] : sk_c8 = multiply(X0,multiply(X1,inverse(multiply(sk_c1,multiply(X0,X1)))))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1688]) ).

fof(f2209,plain,
    ( ! [X0] : multiply(X0,sk_c8) = inverse(multiply(sk_c1,inverse(X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f654,f1688]) ).

fof(f2263,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c1,inverse(X0))),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2262,f423]) ).

fof(f2262,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c1,inverse(X0))),sk_c7) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2208,f40]) ).

fof(f2208,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c1,inverse(X0))),inverse(sk_c8)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1350,f1688]) ).

fof(f2206,plain,
    ( ! [X0,X1] : multiply(sk_c8,X1) = multiply(X0,multiply(inverse(multiply(sk_c1,X0)),X1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1688]) ).

fof(f2205,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f1688]) ).

fof(f2189,plain,
    ( ! [X0,X1] : sk_c8 = multiply(X0,multiply(X1,inverse(multiply(sk_c1,multiply(X0,X1)))))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1688,f3]) ).

fof(f2178,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(inverse(X0),sk_c1)),inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1688,f1350]) ).

fof(f2219,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c1)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2177,f671]) ).

fof(f2177,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c1)),inverse(inverse(X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1688,f1346]) ).

fof(f1688,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1350,f789]) ).

fof(f2122,plain,
    ( ! [X0,X1] : sk_c1 = multiply(X0,multiply(X1,inverse(multiply(sk_c8,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1687]) ).

fof(f2121,plain,
    ( ! [X0] : multiply(X0,sk_c1) = inverse(multiply(sk_c8,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f654,f1687]) ).

fof(f2170,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),sk_c8) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2120,f44]) ).

fof(f2120,plain,
    ( ! [X0] : multiply(inverse(multiply(sk_c8,inverse(X0))),inverse(sk_c1)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1350,f1687]) ).

fof(f2118,plain,
    ( ! [X0,X1] : multiply(sk_c1,X1) = multiply(X0,multiply(inverse(multiply(sk_c8,X0)),X1))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1687]) ).

fof(f2117,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f1687]) ).

fof(f2102,plain,
    ( ! [X0,X1] : sk_c1 = multiply(X0,multiply(X1,inverse(multiply(sk_c8,multiply(X0,X1)))))
    | ~ spl0_2 ),
    inference(superposition,[],[f1687,f3]) ).

fof(f2090,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(inverse(X0),sk_c8)),inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1687,f1350]) ).

fof(f2134,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f2089,f671]) ).

fof(f2089,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c8)),inverse(inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1687,f1346]) ).

fof(f1687,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1350,f44]) ).

fof(f2054,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c8),multiply(sk_c1,X1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1525]) ).

fof(f2053,plain,
    ( ! [X0] : sk_c1 = multiply(inverse(multiply(X0,sk_c8)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f1525]) ).

fof(f2052,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c8),multiply(sk_c1,inverse(X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f766,f1525]) ).

fof(f2051,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1346,f1525]) ).

fof(f2047,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c8)),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1525,f3]) ).

fof(f2041,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1525,f1443]) ).

fof(f1525,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1439,f789]) ).

fof(f2018,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,sk_c1),multiply(sk_c8,X1))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1524]) ).

fof(f2017,plain,
    ( ! [X0] : sk_c8 = multiply(inverse(multiply(X0,sk_c1)),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f1524]) ).

fof(f2016,plain,
    ( ! [X0] : identity = multiply(multiply(X0,sk_c1),multiply(sk_c8,inverse(X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f766,f1524]) ).

fof(f2015,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f1346,f1524]) ).

fof(f2011,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,sk_c1)),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1524,f3]) ).

fof(f2005,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1524,f1443]) ).

fof(f1524,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1439,f44]) ).

fof(f880,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f879,f423]) ).

fof(f879,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13,f423]) ).

fof(f1394,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c1)) = multiply(sk_c8,inverse(X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f1346]) ).

fof(f1395,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f1346]) ).

fof(f1480,plain,
    ( ! [X0] : inverse(multiply(X0,sk_c8)) = multiply(sk_c1,inverse(X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1396,f334]) ).

fof(f1504,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_2 ),
    inference(superposition,[],[f1439,f63]) ).

fof(f1933,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1505,f423]) ).

fof(f1506,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1439,f347]) ).

fof(f1592,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1526,f423]) ).

fof(f1617,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c8),sk_c1) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f1522,f44]) ).

fof(f1618,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1522,f789]) ).

fof(f1929,plain,
    ( ! [X0] : multiply(multiply(X0,sk_c1),sk_c8) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1619,f423]) ).

fof(f1744,plain,
    ( ! [X0] : sk_c8 = multiply(X0,inverse(multiply(sk_c1,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1689,f334]) ).

fof(f1925,plain,
    ( ! [X0] : sk_c1 = multiply(X0,inverse(multiply(sk_c8,X0)))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1696,f423]) ).

fof(f1723,plain,
    ( ! [X0] : multiply(sk_c8,X0) = inverse(multiply(inverse(X0),sk_c1))
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f1350]) ).

fof(f1724,plain,
    ( ! [X0] : multiply(sk_c1,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f1350]) ).

fof(f1924,plain,
    ( ! [X0] : multiply(sk_c1,X0) = inverse(multiply(inverse(X0),sk_c8))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1725,f334]) ).

fof(f1843,plain,
    ( ! [X0] : inverse(multiply(sk_c1,X0)) = multiply(inverse(X0),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f1443,f63]) ).

fof(f1895,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1844,f423]) ).

fof(f1845,plain,
    ( ! [X0] : inverse(multiply(sk_c8,X0)) = multiply(inverse(X0),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f1443,f347]) ).

fof(f789,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f772,f331]) ).

fof(f772,plain,
    ( inverse(sk_c8) = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f651]) ).

fof(f891,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f11,f423]) ).

fof(f463,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f15,f423]) ).

fof(f890,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f17,f423]) ).

fof(f881,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f591,f423]) ).

fof(f591,plain,
    ( sk_c8 = multiply(sk_c4,sk_c1)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f12,f423]) ).

fof(f878,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f14,f423]) ).

fof(f877,plain,
    ( sk_c8 = multiply(sk_c4,sk_c1)
    | sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f876,f423]) ).

fof(f876,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f18,f423]) ).

fof(f698,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f697,f44]) ).

fof(f697,plain,
    ( sk_c1 = inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f670,f423]) ).

fof(f670,plain,
    ( sk_c1 = inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f653,f338]) ).

fof(f709,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f708,f44]) ).

fof(f708,plain,
    ( sk_c1 = inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f681,f423]) ).

fof(f681,plain,
    ( sk_c1 = inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f338,f653]) ).

fof(f719,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f671,f44]) ).

fof(f786,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f771,f346]) ).

fof(f771,plain,
    ( inverse(sk_c8) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f651]) ).

fof(f423,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f419,f346]) ).

fof(f419,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f347,f406]) ).

fof(f426,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f425,f331]) ).

fof(f425,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f421,f40]) ).

fof(f421,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f60,f406]) ).

fof(f424,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f420,f331]) ).

fof(f420,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f326,f406]) ).

fof(f347,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f334,f326]) ).

fof(f371,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c7)),X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f370,f1]) ).

fof(f370,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(sk_c7)),multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f338]) ).

fof(f369,plain,
    ( identity = multiply(inverse(inverse(inverse(sk_c7))),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f338]) ).

fof(f338,plain,
    ( sk_c1 = multiply(inverse(inverse(sk_c7)),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f332]) ).

fof(f358,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f348]) ).

fof(f362,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f360,f1]) ).

fof(f360,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f348]) ).

fof(f361,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f359,f44]) ).

fof(f359,plain,
    ( sk_c8 = multiply(inverse(sk_c1),identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f348]) ).

fof(f348,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f334,f327]) ).

fof(f346,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f334,f331]) ).

fof(f353,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f327,f334]) ).

fof(f352,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f326,f334]) ).

fof(f351,plain,
    ( sk_c1 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f331,f334]) ).

fof(f349,plain,
    ( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f334]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f333,f1]) ).

fof(f333,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f331]) ).

fof(f341,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f326,f63]) ).

fof(f340,plain,
    ( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f339,f1]) ).

fof(f339,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f332]) ).

fof(f332,plain,
    ( identity = multiply(inverse(sk_c7),sk_c1)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f331]) ).

fof(f331,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f218,f40]) ).

fof(f212,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f63]) ).

fof(f218,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f46]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f46]) ).

fof(f46,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f44]) ).

fof(f44,plain,
    ( inverse(sk_c1) = sk_c8
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f2835,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f2834]) ).

fof(f2834,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7
    | spl0_9 ),
    inference(subsumption_resolution,[],[f2833,f2074]) ).

fof(f2833,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2832,f348]) ).

fof(f2832,plain,
    ( sk_c6 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f2789,f940]) ).

fof(f940,plain,
    ( sk_c1 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f939,f331]) ).

fof(f939,plain,
    ( sk_c5 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f933,f40]) ).

fof(f933,plain,
    ( sk_c5 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f205,f925]) ).

fof(f2789,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(global_subsumption,[],[f873,f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f27,f26,f32,f33,f374]) ).

fof(f2787,plain,
    ( spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2786]) ).

fof(f2786,plain,
    ( $false
    | spl0_3
    | spl0_7 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f25,f24,f20,f19,f18,f14,f13,f12,f31,f30,f23,f22,f21,f17,f16,f15,f11,f10,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f27,f2771,f26,f2776,f32,f2777,f33,f2782,f924,f374]) ).

fof(f2770,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2769]) ).

fof(f2769,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2768,f630]) ).

fof(f2768,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2767,f2393]) ).

fof(f2393,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2377,f1]) ).

fof(f2377,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f1979,f2338]) ).

fof(f2338,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f2296,f1949]) ).

fof(f1949,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f1948]) ).

fof(f1948,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f881,f901]) ).

fof(f901,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f900,f331]) ).

fof(f2296,plain,
    ( identity = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2295,f423]) ).

fof(f2295,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2282,f40]) ).

fof(f2282,plain,
    ( identity = multiply(inverse(sk_c8),sk_c1)
    | ~ spl0_10 ),
    inference(superposition,[],[f60,f2079]) ).

fof(f2079,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f2077]) ).

fof(f1979,plain,
    ( sk_c1 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1967,f44]) ).

fof(f1967,plain,
    ( sk_c1 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f60,f1949]) ).

fof(f2767,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2766,f423]) ).

fof(f2766,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2765,f40]) ).

fof(f2765,plain,
    ( identity != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2764,f358]) ).

fof(f2764,plain,
    ( identity != inverse(inverse(multiply(sk_c8,identity)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2739,f2393]) ).

fof(f2739,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(multiply(sk_c8,identity)))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f850,f1687]) ).

fof(f850,plain,
    ( ! [X8] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X8) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f2763,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2762]) ).

fof(f2762,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2761,f630]) ).

fof(f2761,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2760,f2393]) ).

fof(f2760,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2759,f2491]) ).

fof(f2491,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(global_subsumption,[],[f2269,f5,f9,f8,f7,f6,f1,f2,f4,f3,f60,f208,f36,f26,f25,f24,f20,f19,f18,f14,f13,f12,f32,f31,f30,f27,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f29,f204,f402,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f767,f761,f861,f685,f684,f862,f674,f673,f633,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f2079,f2274,f2297,f2272]) ).

fof(f2272,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_10 ),
    inference(superposition,[],[f2079,f653]) ).

fof(f2297,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,X0)
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2283,f1]) ).

fof(f2283,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f2079]) ).

fof(f2274,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_10 ),
    inference(superposition,[],[f653,f2079]) ).

fof(f2269,plain,
    ( sk_c1 = sk_c8
    | sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2264,f358]) ).

fof(f2264,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f875,f929]) ).

fof(f929,plain,
    ( identity = sk_c3
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f927,plain,
    ( spl0_8
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f2759,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2758,f44]) ).

fof(f2758,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2757,f346]) ).

fof(f2757,plain,
    ( identity != inverse(inverse(multiply(sk_c1,identity)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2738,f2338]) ).

fof(f2738,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(multiply(sk_c1,identity)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f850,f1688]) ).

fof(f2750,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2749]) ).

fof(f2749,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2740,f671]) ).

fof(f2740,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2735]) ).

fof(f2735,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(superposition,[],[f850,f651]) ).

fof(f2748,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2747]) ).

fof(f2747,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2746,f671]) ).

fof(f2746,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f2741,f1346]) ).

fof(f2741,plain,
    ( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2734]) ).

fof(f2734,plain,
    ( ! [X0] :
        ( identity != identity
        | identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
    | ~ spl0_5 ),
    inference(superposition,[],[f850,f766]) ).

fof(f2744,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f2743]) ).

fof(f2743,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f2742,f630]) ).

fof(f2742,plain,
    ( identity != inverse(identity)
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f2732]) ).

fof(f2732,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_5 ),
    inference(superposition,[],[f850,f653]) ).

fof(f2710,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2709]) ).

fof(f2709,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2708,f630]) ).

fof(f2708,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2707,f2393]) ).

fof(f2707,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2706,f423]) ).

fof(f2706,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2705,f1]) ).

fof(f2705,plain,
    ( identity != multiply(identity,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2649,f2393]) ).

fof(f2649,plain,
    ( identity != multiply(sk_c1,identity)
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f334]) ).

fof(f853,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f2704,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2703]) ).

fof(f2703,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2702,f630]) ).

fof(f2702,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2701,f2393]) ).

fof(f2701,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2700,f2491]) ).

fof(f2700,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2699,f44]) ).

fof(f2699,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2698,f423]) ).

fof(f2698,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2697,f2338]) ).

fof(f2697,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2648,f358]) ).

fof(f2648,plain,
    ( identity != multiply(sk_c8,identity)
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f337]) ).

fof(f2696,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2695]) ).

fof(f2695,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2694,f671]) ).

fof(f2694,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2653,f671]) ).

fof(f2653,plain,
    ( identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f2647]) ).

fof(f2647,plain,
    ( identity != identity
    | identity != inverse(inverse(inverse(inverse(identity))))
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f584]) ).

fof(f2690,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2689]) ).

fof(f2689,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2654,f671]) ).

fof(f2654,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f2645]) ).

fof(f2645,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f204]) ).

fof(f2688,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2687]) ).

fof(f2687,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2655,f671]) ).

fof(f2655,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f2644]) ).

fof(f2644,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f2]) ).

fof(f2686,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2685]) ).

fof(f2685,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f2656,f630]) ).

fof(f2656,plain,
    ( identity != inverse(identity)
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f2643]) ).

fof(f2643,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f1]) ).

fof(f2684,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2683]) ).

fof(f2683,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2682,f630]) ).

fof(f2682,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2681,f2393]) ).

fof(f2681,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2680,f423]) ).

fof(f2680,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2642,f2393]) ).

fof(f2642,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f331]) ).

fof(f2679,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2678]) ).

fof(f2678,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2677,f630]) ).

fof(f2677,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2676,f2393]) ).

fof(f2676,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2675,f2491]) ).

fof(f2675,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2641,f2338]) ).

fof(f2641,plain,
    ( identity != sk_c8
    | identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f358]) ).

fof(f2674,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2673]) ).

fof(f2673,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2672,f630]) ).

fof(f2672,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2671,f2393]) ).

fof(f2671,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2640,f2393]) ).

fof(f2640,plain,
    ( identity != sk_c1
    | identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f346]) ).

fof(f2669,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2668]) ).

fof(f2668,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2667,f630]) ).

fof(f2667,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2666,f2393]) ).

fof(f2666,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2665,f423]) ).

fof(f2665,plain,
    ( identity != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2664,f671]) ).

fof(f2664,plain,
    ( identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2638,f2393]) ).

fof(f2638,plain,
    ( identity != sk_c1
    | identity != inverse(inverse(inverse(sk_c7)))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f338]) ).

fof(f2663,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2662]) ).

fof(f2662,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2661,f630]) ).

fof(f2661,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2660,f2393]) ).

fof(f2660,plain,
    ( identity != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2659,f2491]) ).

fof(f2659,plain,
    ( identity != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2658,f44]) ).

fof(f2658,plain,
    ( identity != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2657,f423]) ).

fof(f2657,plain,
    ( identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f2637,f2338]) ).

fof(f2637,plain,
    ( identity != sk_c8
    | identity != inverse(inverse(sk_c7))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f853,f328]) ).

fof(f2490,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2489]) ).

fof(f2489,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f26,f25,f24,f20,f19,f18,f14,f13,f12,f32,f31,f30,f27,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f29,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f786,f767,f761,f719,f861,f685,f684,f709,f862,f674,f673,f698,f633,f873,f877,f878,f881,f889,f890,f463,f891,f789,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f1845,f1895,f1843,f1924,f1724,f1723,f1925,f1744,f1929,f1618,f1617,f1592,f1506,f1933,f1504,f1480,f1395,f1394,f880,f875,f929,f1524,f2005,f2011,f2015,f2016,f2017,f2018,f1525,f2041,f2047,f2051,f2052,f2053,f2054,f2081,f1687,f2134,f2090,f2102,f2117,f2118,f2170,f2121,f2122,f1688,f2219,f2178,f2189,f2205,f2206,f2263,f2209,f2210,f2484,f2485,f2486,f2487,f2269,f2488,f860,f2265,f2082,f2078,f924]) ).

fof(f2082,plain,
    ( sk_c1 != sk_c8
    | spl0_10 ),
    inference(superposition,[],[f2078,f653]) ).

fof(f2265,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2264,f2078]) ).

fof(f2488,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f26,f25,f24,f20,f19,f18,f14,f13,f12,f32,f31,f30,f27,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f29,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f786,f767,f761,f719,f861,f685,f684,f709,f862,f674,f673,f698,f633,f873,f877,f878,f881,f889,f890,f463,f891,f789,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f1845,f1895,f1843,f1924,f1724,f1723,f1925,f1744,f1929,f1618,f1617,f1592,f1506,f1933,f1504,f1480,f1395,f1394,f860,f880,f875,f929,f1524,f2005,f2011,f2015,f2016,f2017,f2018,f1525,f2041,f2047,f2051,f2052,f2053,f2054,f2078,f2081,f2082,f1687,f2134,f2090,f2102,f2117,f2118,f2170,f2121,f2122,f1688,f2219,f2178,f2189,f2205,f2206,f2263,f2209,f2210,f2484,f2485,f2486,f2487,f2269]) ).

fof(f2487,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f26,f25,f24,f20,f19,f18,f14,f13,f12,f32,f31,f30,f27,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f29,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f786,f767,f761,f719,f861,f685,f684,f709,f862,f674,f673,f698,f633,f873,f877,f878,f881,f889,f890,f463,f891,f789,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f1845,f1895,f1843,f1924,f1724,f1723,f1925,f1744,f1929,f1618,f1617,f1592,f1506,f1933,f1504,f1480,f1395,f1394,f860,f880,f875,f929,f1524,f2005,f2011,f2015,f2016,f2017,f2018,f1525,f2041,f2047,f2051,f2052,f2053,f2054,f2078,f2081,f2082,f1687,f2134,f2090,f2102,f2117,f2118,f2170,f2121,f2122,f1688,f2219,f2178,f2189,f2205,f2206,f2263,f2209,f2210,f2484,f2485,f2486]) ).

fof(f2486,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f889,f929]) ).

fof(f2485,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | spl0_10 ),
    inference(global_subsumption,[],[f5,f9,f8,f7,f6,f1,f2,f4,f44,f46,f3,f63,f60,f208,f218,f212,f36,f26,f25,f24,f20,f19,f18,f14,f13,f12,f32,f31,f30,f27,f23,f22,f21,f17,f16,f15,f11,f10,f33,f28,f40,f327,f330,f331,f328,f332,f340,f326,f341,f343,f334,f349,f351,f352,f353,f346,f348,f361,f362,f358,f335,f366,f368,f338,f369,f371,f29,f347,f204,f402,f337,f410,f411,f406,f424,f426,f423,f205,f589,f584,f631,f645,f217,f657,f658,f661,f662,f653,f706,f682,f717,f671,f729,f730,f651,f793,f777,f654,f818,f828,f786,f767,f761,f719,f861,f685,f684,f709,f862,f674,f673,f698,f633,f873,f877,f878,f881,f889,f890,f463,f891,f789,f630,f766,f1186,f1215,f1321,f1348,f1351,f1346,f1359,f1372,f1389,f1486,f1399,f1400,f1402,f1403,f1439,f1495,f1508,f1531,f1532,f1533,f1534,f1522,f1633,f1636,f1637,f1638,f1639,f1350,f1774,f1707,f1716,f1728,f1729,f1730,f1731,f1733,f1734,f1443,f1834,f1846,f1847,f1864,f1868,f1870,f1845,f1895,f1843,f1924,f1724,f1723,f1925,f1744,f1929,f1618,f1617,f1592,f1506,f1933,f1504,f1480,f1395,f1394,f860,f880,f875,f929,f1524,f2005,f2011,f2015,f2016,f2017,f2018,f1525,f2041,f2047,f2051,f2052,f2053,f2054,f2078,f2081,f2082,f1687,f2134,f2090,f2102,f2117,f2118,f2170,f2121,f2122,f1688,f2219,f2178,f2189,f2205,f2206,f2263,f2209,f2210,f2484]) ).

fof(f2484,plain,
    ( sk_c1 = sk_c8
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2483,f358]) ).

fof(f2483,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f873,f929]) ).

fof(f2081,plain,
    ( sk_c1 != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | spl0_10 ),
    inference(superposition,[],[f2078,f358]) ).

fof(f2482,plain,
    ( spl0_5
    | spl0_6
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f2475,f2077,f377,f42,f38,f852,f849,f852,f849]) ).

fof(f2475,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2474,f2393]) ).

fof(f2474,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2473,f2272]) ).

fof(f2473,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2472,f2393]) ).

fof(f2472,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2471,f2272]) ).

fof(f2471,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2470,f2393]) ).

fof(f2470,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2469,f2272]) ).

fof(f2469,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2468,f2393]) ).

fof(f2468,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2467,f2272]) ).

fof(f2467,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2466,f653]) ).

fof(f2466,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2465,f2393]) ).

fof(f2465,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(sk_c1,multiply(X8,sk_c1))
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2464,f2272]) ).

fof(f2464,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2463,f653]) ).

fof(f2463,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2462,f2393]) ).

fof(f2462,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(sk_c1,multiply(X5,sk_c1))
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2461,f2272]) ).

fof(f2461,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2460,f2393]) ).

fof(f2460,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2459,f2272]) ).

fof(f2459,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2458,f2393]) ).

fof(f2458,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2457,f2393]) ).

fof(f2457,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(X6,identity)
        | sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f2456,f2272]) ).

fof(f2456,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,identity)
        | sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f860,f2393]) ).

fof(f2268,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2267]) ).

fof(f2267,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(subsumption_resolution,[],[f2266,f2078]) ).

fof(f2266,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(forward_demodulation,[],[f2265,f2075]) ).

fof(f2080,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f2071,f927,f923,f42,f38,f2077,f2073]) ).

fof(f2071,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1957,f929]) ).

fof(f1957,plain,
    ( identity = sk_c6
    | sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1956,f348]) ).

fof(f1956,plain,
    ( sk_c6 = multiply(sk_c1,sk_c8)
    | sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f873,f940]) ).

fof(f1923,plain,
    ( spl0_5
    | spl0_6
    | spl0_5
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1176,f927,f923,f377,f373,f42,f38,f852,f849,f852,f849]) ).

fof(f1176,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1175,f1024]) ).

fof(f1024,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1021,f2]) ).

fof(f1021,plain,
    ( sk_c1 = multiply(inverse(sk_c1),sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f60,f1019]) ).

fof(f1019,plain,
    ( sk_c1 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1018,f973]) ).

fof(f973,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(superposition,[],[f971,f653]) ).

fof(f971,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f970,f967]) ).

fof(f967,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f966,f348]) ).

fof(f966,plain,
    ( sk_c6 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f965,f940]) ).

fof(f965,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f866,f928]) ).

fof(f928,plain,
    ( identity != sk_c3
    | spl0_8 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f866,plain,
    ( identity = sk_c3
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f865,f348]) ).

fof(f865,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f26,f388]) ).

fof(f388,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f387,f331]) ).

fof(f387,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f384,f40]) ).

fof(f384,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_3 ),
    inference(superposition,[],[f60,f382]) ).

fof(f970,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f869,f928]) ).

fof(f869,plain,
    ( sk_c1 = multiply(sk_c8,sk_c6)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f868,f423]) ).

fof(f868,plain,
    ( identity = sk_c3
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f867,f348]) ).

fof(f867,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f25,f388]) ).

fof(f1018,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8 ),
    inference(forward_demodulation,[],[f1017,f901]) ).

fof(f1017,plain,
    ( sk_c8 = multiply(sk_c4,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f872,f928]) ).

fof(f872,plain,
    ( sk_c8 = multiply(sk_c4,sk_c1)
    | identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f871,f423]) ).

fof(f871,plain,
    ( identity = sk_c3
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f870,f348]) ).

fof(f870,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f24,f388]) ).

fof(f1175,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1174,f973]) ).

fof(f1174,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1173,f1024]) ).

fof(f1173,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1172,f973]) ).

fof(f1172,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1171,f1024]) ).

fof(f1171,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X3)
        | identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1170,f973]) ).

fof(f1170,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1169,f1024]) ).

fof(f1169,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != inverse(X8)
        | identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1168,f973]) ).

fof(f1168,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1167,f653]) ).

fof(f1167,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,multiply(X8,identity))
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1166,f1024]) ).

fof(f1166,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(sk_c1,multiply(X8,sk_c1))
        | identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1165,f973]) ).

fof(f1165,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1164,f653]) ).

fof(f1164,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1163,f1024]) ).

fof(f1163,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(sk_c1,multiply(X5,sk_c1))
        | identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1162,f973]) ).

fof(f1162,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1161,f1024]) ).

fof(f1161,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1160,f973]) ).

fof(f1160,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(X6,identity)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1159,f1024]) ).

fof(f1159,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1158,f1024]) ).

fof(f1158,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(X6,identity)
        | sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f1157,f973]) ).

fof(f1157,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,identity)
        | sk_c8 != multiply(X3,sk_c1)
        | sk_c1 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c1 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f860,f1024]) ).

fof(f930,plain,
    ( spl0_7
    | spl0_8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f886,f373,f42,f38,f927,f923]) ).

fof(f886,plain,
    ( identity = sk_c3
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f885,f348]) ).

fof(f885,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f27,f388]) ).

fof(f854,plain,
    ( spl0_5
    | spl0_5
    | spl0_6
    | spl0_6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f755,f377,f373,f42,f38,f852,f852,f849,f849]) ).

fof(f755,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f754,f481]) ).

fof(f481,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f480,f475]) ).

fof(f475,plain,
    ( sk_c8 = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f474,f451]) ).

fof(f451,plain,
    ( sk_c8 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f450,f423]) ).

fof(f450,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f11,f378]) ).

fof(f474,plain,
    ( sk_c3 = multiply(sk_c1,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f473,f423]) ).

fof(f473,plain,
    ( sk_c3 = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f468,f40]) ).

fof(f468,plain,
    ( sk_c3 = multiply(inverse(sk_c8),sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f60,f465]) ).

fof(f465,plain,
    ( sk_c1 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f464,f423]) ).

fof(f464,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f17,f378]) ).

fof(f480,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f479,f348]) ).

fof(f479,plain,
    ( sk_c3 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f478,f388]) ).

fof(f478,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f23,f378]) ).

fof(f754,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,identity)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f753,f508]) ).

fof(f508,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f495,f1]) ).

fof(f495,plain,
    ( sk_c1 = multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(superposition,[],[f455,f481]) ).

fof(f455,plain,
    ( sk_c1 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_demodulation,[],[f453,f44]) ).

fof(f453,plain,
    ( sk_c1 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f60,f451]) ).

fof(f753,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X6,sk_c1)
        | identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f752,f423]) ).

fof(f752,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f751,f481]) ).

fof(f751,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,identity)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f750,f508]) ).

fof(f750,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c8 != multiply(X3,sk_c1)
        | identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f749,f423]) ).

fof(f749,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f748,f508]) ).

fof(f748,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f747,f423]) ).

fof(f747,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X5)
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f746,f653]) ).

fof(f746,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f745,f481]) ).

fof(f745,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f744,f508]) ).

fof(f744,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c1 != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f743,f423]) ).

fof(f743,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,X8)
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f742,f653]) ).

fof(f742,plain,
    ( ! [X3,X8,X6,X5] :
        ( sk_c7 != multiply(identity,multiply(X8,identity))
        | identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f741,f481]) ).

fof(f741,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X6)
        | identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f740,f481]) ).

fof(f740,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X5)
        | identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f739,f481]) ).

fof(f739,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X3)
        | identity != inverse(X8)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f738,f481]) ).

fof(f738,plain,
    ( ! [X3,X8,X6,X5] :
        ( identity != inverse(X8)
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X6)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f737,f481]) ).

fof(f380,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f29,f377,f373]) ).

fof(f304,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f302,f72]) ).

fof(f72,plain,
    ( sk_c8 = sk_c7
    | spl0_1 ),
    inference(superposition,[],[f69,f50]) ).

fof(f50,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f16,f39]) ).

fof(f39,plain,
    ( inverse(sk_c8) != sk_c7
    | spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f69,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f64,f51]) ).

fof(f51,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f22,f39]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f48,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | spl0_1 ),
    inference(superposition,[],[f2,f47]) ).

fof(f47,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f28,f39]) ).

fof(f302,plain,
    ( sk_c8 != sk_c7
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f285,f161]) ).

fof(f161,plain,
    ( sk_c8 = inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f44,f143]) ).

fof(f143,plain,
    ( identity = sk_c1
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f133,f46]) ).

fof(f133,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f115]) ).

fof(f115,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f113,f63]) ).

fof(f113,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(forward_demodulation,[],[f57,f72]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f49,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f39]) ).

fof(f285,plain,
    ( sk_c7 != inverse(identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f39,f254]) ).

fof(f254,plain,
    ( identity = sk_c8
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f253,f2]) ).

fof(f253,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f221,f72]) ).

fof(f221,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f60,f65]) ).

fof(f65,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f49]) ).

fof(f45,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f42,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP229-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 20:50:53 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  % (20112)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (20116)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35  % (20115)WARNING: value z3 for option sas not known
% 0.12/0.35  % (20114)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35  % (20118)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)
% 0.12/0.35  % (20117)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)
% 0.12/0.35  % (20119)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)
% 0.12/0.35  % (20115)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)
% 0.12/0.35  TRYING [1]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  % (20113)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [4]
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.37  TRYING [3]
% 0.12/0.38  TRYING [5]
% 0.12/0.39  TRYING [4]
% 0.12/0.41  TRYING [6]
% 0.19/0.43  % (20115)First to succeed.
% 0.19/0.44  % (20115)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20112"
% 0.19/0.44  % (20115)Refutation found. Thanks to Tanya!
% 0.19/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45  % (20115)------------------------------
% 0.19/0.45  % (20115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.45  % (20115)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (20115)Memory used [KB]: 1932
% 0.19/0.45  % (20115)Time elapsed: 0.092 s
% 0.19/0.45  % (20115)Instructions burned: 198 (million)
% 0.19/0.45  % (20112)Success in time 0.113 s
%------------------------------------------------------------------------------